10.594 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.436 * * * [progress]: [2/2] Setting up program. 0.441 * [progress]: [Phase 2 of 3] Improving. 0.441 * [simplify]: Simplifying: (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 0.441 * [simplify]: Sending expressions to egg_math: (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (cos (- h2 h1))))) h0) 0.444 * * [progress]: iteration 1 / 4 0.444 * * * [progress]: picking best candidate 0.448 * * * * [pick]: Picked # 0.448 * * * [progress]: localizing error 0.475 * * * [progress]: generating rewritten candidates 0.475 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2) 0.487 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.489 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.497 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 0.543 * * * [progress]: generating series expansions 0.543 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2) 0.543 * [backup-simplify]: Simplify (cos (- lambda1 lambda2)) into (cos (- lambda1 lambda2)) 0.543 * [approximate]: Taking taylor expansion of (cos (- lambda1 lambda2)) in (lambda1 lambda2) around 0 0.543 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2 0.543 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2 0.543 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.543 * [backup-simplify]: Simplify lambda1 into lambda1 0.543 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.543 * [backup-simplify]: Simplify 0 into 0 0.543 * [backup-simplify]: Simplify 1 into 1 0.544 * [backup-simplify]: Simplify (- 0) into 0 0.544 * [backup-simplify]: Simplify (+ lambda1 0) into lambda1 0.544 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 0.544 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 0.544 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.544 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.544 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.544 * [backup-simplify]: Simplify 0 into 0 0.544 * [backup-simplify]: Simplify 1 into 1 0.544 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.544 * [backup-simplify]: Simplify lambda2 into lambda2 0.544 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 0.544 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2) 0.544 * [backup-simplify]: Simplify (cos (- lambda2)) into (cos (- lambda2)) 0.544 * [backup-simplify]: Simplify (sin (- lambda2)) into (sin (- lambda2)) 0.544 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.544 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.544 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.544 * [backup-simplify]: Simplify 0 into 0 0.544 * [backup-simplify]: Simplify 1 into 1 0.544 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.544 * [backup-simplify]: Simplify lambda2 into lambda2 0.544 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 0.544 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2) 0.544 * [backup-simplify]: Simplify (cos (- lambda2)) into (cos (- lambda2)) 0.545 * [backup-simplify]: Simplify (sin (- lambda2)) into (sin (- lambda2)) 0.545 * [backup-simplify]: Simplify (* (cos (- lambda2)) 1) into (cos (- lambda2)) 0.545 * [backup-simplify]: Simplify (* (sin (- lambda2)) 0) into 0 0.545 * [backup-simplify]: Simplify (- 0) into 0 0.545 * [backup-simplify]: Simplify (+ (cos (- lambda2)) 0) into (cos (- lambda2)) 0.545 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.545 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.545 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.545 * [backup-simplify]: Simplify 0 into 0 0.545 * [backup-simplify]: Simplify 1 into 1 0.546 * [backup-simplify]: Simplify (- 0) into 0 0.546 * [backup-simplify]: Simplify (- 1) into -1 0.546 * [backup-simplify]: Simplify 1 into 1 0.547 * [backup-simplify]: Simplify (+ 0) into 0 0.547 * [backup-simplify]: Simplify (+ (* (cos (- lambda2)) 0) (* 0 1)) into 0 0.547 * [backup-simplify]: Simplify (- 0) into 0 0.548 * [backup-simplify]: Simplify (+ 1 0) into 1 0.548 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 0.548 * [backup-simplify]: Simplify (+ (* (sin (- lambda2)) 1) (* 0 0)) into (sin (- lambda2)) 0.548 * [backup-simplify]: Simplify (- (sin (- lambda2))) into (- (sin (- lambda2))) 0.548 * [backup-simplify]: Simplify (+ 0 (- (sin (- lambda2)))) into (- (sin (- lambda2))) 0.548 * [taylor]: Taking taylor expansion of (- (sin (- lambda2))) in lambda2 0.549 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 0.549 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.549 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.549 * [backup-simplify]: Simplify 0 into 0 0.549 * [backup-simplify]: Simplify 1 into 1 0.549 * [backup-simplify]: Simplify (- 0) into 0 0.549 * [backup-simplify]: Simplify (- 1) into -1 0.549 * [backup-simplify]: Simplify (- 0) into 0 0.549 * [backup-simplify]: Simplify 0 into 0 0.550 * [backup-simplify]: Simplify (+ 0) into 0 0.550 * [backup-simplify]: Simplify 0 into 0 0.550 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.551 * [backup-simplify]: Simplify (+ (* (cos (- lambda2)) -1/2) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (cos (- lambda2)))) 0.551 * [backup-simplify]: Simplify (- 0) into 0 0.551 * [backup-simplify]: Simplify (+ 0 0) into 0 0.552 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.552 * [backup-simplify]: Simplify (+ (* (sin (- lambda2)) 0) (+ (* 0 1) (* 0 0))) into 0 0.552 * [backup-simplify]: Simplify (- 0) into 0 0.552 * [backup-simplify]: Simplify (+ (- (* 1/2 (cos (- lambda2)))) 0) into (- (* 1/2 (cos (- lambda2)))) 0.552 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda2)))) in lambda2 0.552 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda2))) in lambda2 0.552 * [taylor]: Taking taylor expansion of 1/2 in lambda2 0.552 * [backup-simplify]: Simplify 1/2 into 1/2 0.552 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.552 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.552 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.552 * [backup-simplify]: Simplify 0 into 0 0.552 * [backup-simplify]: Simplify 1 into 1 0.553 * [backup-simplify]: Simplify (- 0) into 0 0.553 * [backup-simplify]: Simplify (- 1) into -1 0.553 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.553 * [backup-simplify]: Simplify (- 1/2) into -1/2 0.553 * [backup-simplify]: Simplify -1/2 into -1/2 0.554 * [backup-simplify]: Simplify (- 1) into -1 0.554 * [backup-simplify]: Simplify (+ (* 1 (/ (pow -1 1) 1))) into -1 0.554 * [backup-simplify]: Simplify (- -1) into 1 0.554 * [backup-simplify]: Simplify 1 into 1 0.555 * [backup-simplify]: Simplify (+ (* 1 (* lambda2 lambda1)) (+ (* -1/2 (pow (* 1 lambda1) 2)) 1)) into (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2))) 0.555 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0.555 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in (lambda1 lambda2) around 0 0.555 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.555 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.555 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.555 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.555 * [backup-simplify]: Simplify lambda1 into lambda1 0.555 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 0.555 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.555 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.555 * [backup-simplify]: Simplify 0 into 0 0.555 * [backup-simplify]: Simplify 1 into 1 0.555 * [backup-simplify]: Simplify (/ 1 1) into 1 0.555 * [backup-simplify]: Simplify (- 1) into -1 0.556 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.556 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0.556 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.556 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.556 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.556 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.556 * [backup-simplify]: Simplify 0 into 0 0.556 * [backup-simplify]: Simplify 1 into 1 0.556 * [backup-simplify]: Simplify (/ 1 1) into 1 0.556 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.556 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.556 * [backup-simplify]: Simplify lambda2 into lambda2 0.556 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 0.556 * [backup-simplify]: Simplify (+ 1 0) into 1 0.557 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0.557 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.557 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.557 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.557 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.557 * [backup-simplify]: Simplify 0 into 0 0.557 * [backup-simplify]: Simplify 1 into 1 0.557 * [backup-simplify]: Simplify (/ 1 1) into 1 0.557 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.557 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.557 * [backup-simplify]: Simplify lambda2 into lambda2 0.557 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 0.557 * [backup-simplify]: Simplify (+ 1 0) into 1 0.557 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0.557 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.557 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.557 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.557 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.557 * [backup-simplify]: Simplify lambda1 into lambda1 0.557 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 0.558 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.558 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.558 * [backup-simplify]: Simplify 0 into 0 0.558 * [backup-simplify]: Simplify 1 into 1 0.558 * [backup-simplify]: Simplify (/ 1 1) into 1 0.558 * [backup-simplify]: Simplify (- 1) into -1 0.558 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.558 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0.558 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0.558 * [taylor]: Taking taylor expansion of 0 in lambda2 0.559 * [backup-simplify]: Simplify 0 into 0 0.559 * [backup-simplify]: Simplify 0 into 0 0.559 * [backup-simplify]: Simplify 0 into 0 0.559 * [taylor]: Taking taylor expansion of 0 in lambda2 0.559 * [backup-simplify]: Simplify 0 into 0 0.559 * [backup-simplify]: Simplify 0 into 0 0.559 * [backup-simplify]: Simplify 0 into 0 0.559 * [backup-simplify]: Simplify 0 into 0 0.559 * [taylor]: Taking taylor expansion of 0 in lambda2 0.559 * [backup-simplify]: Simplify 0 into 0 0.559 * [backup-simplify]: Simplify 0 into 0 0.559 * [backup-simplify]: Simplify (cos (- (/ 1 (/ 1 lambda1)) (/ 1 (/ 1 lambda2)))) into (cos (- lambda1 lambda2)) 0.559 * [backup-simplify]: Simplify (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0.559 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in (lambda1 lambda2) around 0 0.559 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.559 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.559 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.559 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.559 * [backup-simplify]: Simplify 0 into 0 0.559 * [backup-simplify]: Simplify 1 into 1 0.559 * [backup-simplify]: Simplify (/ 1 1) into 1 0.559 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.559 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.559 * [backup-simplify]: Simplify lambda1 into lambda1 0.559 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 0.560 * [backup-simplify]: Simplify (+ 1 0) into 1 0.560 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0.560 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.560 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.560 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.560 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.560 * [backup-simplify]: Simplify lambda2 into lambda2 0.560 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 0.560 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.560 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.560 * [backup-simplify]: Simplify 0 into 0 0.560 * [backup-simplify]: Simplify 1 into 1 0.560 * [backup-simplify]: Simplify (/ 1 1) into 1 0.560 * [backup-simplify]: Simplify (- 1) into -1 0.561 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.561 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0.561 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.561 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.561 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.561 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.561 * [backup-simplify]: Simplify lambda2 into lambda2 0.561 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 0.561 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.561 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.561 * [backup-simplify]: Simplify 0 into 0 0.561 * [backup-simplify]: Simplify 1 into 1 0.561 * [backup-simplify]: Simplify (/ 1 1) into 1 0.561 * [backup-simplify]: Simplify (- 1) into -1 0.562 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.562 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0.562 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.562 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.562 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.562 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.562 * [backup-simplify]: Simplify 0 into 0 0.562 * [backup-simplify]: Simplify 1 into 1 0.562 * [backup-simplify]: Simplify (/ 1 1) into 1 0.562 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.562 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.562 * [backup-simplify]: Simplify lambda1 into lambda1 0.562 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 0.562 * [backup-simplify]: Simplify (+ 1 0) into 1 0.563 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0.563 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0.563 * [taylor]: Taking taylor expansion of 0 in lambda2 0.563 * [backup-simplify]: Simplify 0 into 0 0.563 * [backup-simplify]: Simplify 0 into 0 0.563 * [backup-simplify]: Simplify 0 into 0 0.563 * [taylor]: Taking taylor expansion of 0 in lambda2 0.563 * [backup-simplify]: Simplify 0 into 0 0.563 * [backup-simplify]: Simplify 0 into 0 0.563 * [backup-simplify]: Simplify 0 into 0 0.563 * [backup-simplify]: Simplify 0 into 0 0.563 * [taylor]: Taking taylor expansion of 0 in lambda2 0.563 * [backup-simplify]: Simplify 0 into 0 0.563 * [backup-simplify]: Simplify 0 into 0 0.563 * [backup-simplify]: Simplify (cos (- (/ 1 (/ 1 (- lambda2))) (/ 1 (/ 1 (- lambda1))))) into (cos (- lambda1 lambda2)) 0.563 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.563 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) into (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) 0.563 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 0.563 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.564 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) into (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) 0.565 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.565 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) into (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) 0.565 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.565 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) into (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) 0.565 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.565 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) into (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) 0.565 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.565 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) into (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) 0.565 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.566 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) into (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) 0.566 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.566 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) into (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) 0.566 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.566 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) into (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) 0.566 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) into (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) 0.566 * [taylor]: Taking taylor expansion of 0 in phi2 0.566 * [backup-simplify]: Simplify 0 into 0 0.566 * [taylor]: Taking taylor expansion of 0 in lambda1 0.566 * [backup-simplify]: Simplify 0 into 0 0.566 * [taylor]: Taking taylor expansion of 0 in lambda2 0.566 * [backup-simplify]: Simplify 0 into 0 0.566 * [backup-simplify]: Simplify 0 into 0 0.566 * [taylor]: Taking taylor expansion of 0 in lambda1 0.567 * [backup-simplify]: Simplify 0 into 0 0.567 * [taylor]: Taking taylor expansion of 0 in lambda2 0.567 * [backup-simplify]: Simplify 0 into 0 0.567 * [backup-simplify]: Simplify 0 into 0 0.567 * [taylor]: Taking taylor expansion of 0 in lambda2 0.567 * [backup-simplify]: Simplify 0 into 0 0.567 * [backup-simplify]: Simplify 0 into 0 0.567 * [backup-simplify]: Simplify 0 into 0 0.567 * [taylor]: Taking taylor expansion of 0 in phi2 0.567 * [backup-simplify]: Simplify 0 into 0 0.567 * [taylor]: Taking taylor expansion of 0 in lambda1 0.567 * [backup-simplify]: Simplify 0 into 0 0.567 * [taylor]: Taking taylor expansion of 0 in lambda2 0.567 * [backup-simplify]: Simplify 0 into 0 0.567 * [backup-simplify]: Simplify 0 into 0 0.567 * [taylor]: Taking taylor expansion of 0 in lambda1 0.567 * [backup-simplify]: Simplify 0 into 0 0.567 * [taylor]: Taking taylor expansion of 0 in lambda2 0.567 * [backup-simplify]: Simplify 0 into 0 0.567 * [backup-simplify]: Simplify 0 into 0 0.567 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) into (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) 0.567 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))) into (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) 0.567 * [approximate]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0 0.567 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda2 0.568 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) into (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) 0.568 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda1 0.568 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) into (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) 0.568 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi2 0.568 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) into (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) 0.568 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi1 0.569 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) into (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) 0.569 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi1 0.569 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) into (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) 0.569 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi2 0.569 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) into (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) 0.569 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda1 0.570 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) into (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) 0.570 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda2 0.570 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) into (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) 0.570 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) into (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) 0.570 * [taylor]: Taking taylor expansion of 0 in phi2 0.570 * [backup-simplify]: Simplify 0 into 0 0.570 * [taylor]: Taking taylor expansion of 0 in lambda1 0.570 * [backup-simplify]: Simplify 0 into 0 0.570 * [taylor]: Taking taylor expansion of 0 in lambda2 0.570 * [backup-simplify]: Simplify 0 into 0 0.570 * [backup-simplify]: Simplify 0 into 0 0.570 * [taylor]: Taking taylor expansion of 0 in lambda1 0.570 * [backup-simplify]: Simplify 0 into 0 0.570 * [taylor]: Taking taylor expansion of 0 in lambda2 0.570 * [backup-simplify]: Simplify 0 into 0 0.570 * [backup-simplify]: Simplify 0 into 0 0.570 * [taylor]: Taking taylor expansion of 0 in lambda2 0.570 * [backup-simplify]: Simplify 0 into 0 0.570 * [backup-simplify]: Simplify 0 into 0 0.571 * [backup-simplify]: Simplify 0 into 0 0.571 * [taylor]: Taking taylor expansion of 0 in phi2 0.571 * [backup-simplify]: Simplify 0 into 0 0.571 * [taylor]: Taking taylor expansion of 0 in lambda1 0.571 * [backup-simplify]: Simplify 0 into 0 0.571 * [taylor]: Taking taylor expansion of 0 in lambda2 0.571 * [backup-simplify]: Simplify 0 into 0 0.571 * [backup-simplify]: Simplify 0 into 0 0.571 * [taylor]: Taking taylor expansion of 0 in lambda1 0.571 * [backup-simplify]: Simplify 0 into 0 0.571 * [taylor]: Taking taylor expansion of 0 in lambda2 0.571 * [backup-simplify]: Simplify 0 into 0 0.571 * [backup-simplify]: Simplify 0 into 0 0.571 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 (/ 1 phi1))) (sin (/ 1 (/ 1 phi2)))) (* (cos (/ 1 (/ 1 phi1))) (* (cos (/ 1 (/ 1 phi2))) (cos (- (/ 1 (/ 1 lambda1)) (/ 1 (/ 1 lambda2)))))))) into (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) 0.571 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) 0.571 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 0.572 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda2 0.572 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) 0.572 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda1 0.572 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) 0.572 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi2 0.572 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) 0.572 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi1 0.573 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) 0.573 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi1 0.573 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) 0.573 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi2 0.573 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) 0.573 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda1 0.574 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) 0.574 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda2 0.574 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) 0.574 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) 0.574 * [taylor]: Taking taylor expansion of 0 in phi2 0.574 * [backup-simplify]: Simplify 0 into 0 0.574 * [taylor]: Taking taylor expansion of 0 in lambda1 0.574 * [backup-simplify]: Simplify 0 into 0 0.574 * [taylor]: Taking taylor expansion of 0 in lambda2 0.574 * [backup-simplify]: Simplify 0 into 0 0.574 * [backup-simplify]: Simplify 0 into 0 0.574 * [taylor]: Taking taylor expansion of 0 in lambda1 0.574 * [backup-simplify]: Simplify 0 into 0 0.574 * [taylor]: Taking taylor expansion of 0 in lambda2 0.575 * [backup-simplify]: Simplify 0 into 0 0.575 * [backup-simplify]: Simplify 0 into 0 0.575 * [taylor]: Taking taylor expansion of 0 in lambda2 0.575 * [backup-simplify]: Simplify 0 into 0 0.575 * [backup-simplify]: Simplify 0 into 0 0.575 * [backup-simplify]: Simplify 0 into 0 0.575 * [taylor]: Taking taylor expansion of 0 in phi2 0.575 * [backup-simplify]: Simplify 0 into 0 0.575 * [taylor]: Taking taylor expansion of 0 in lambda1 0.575 * [backup-simplify]: Simplify 0 into 0 0.575 * [taylor]: Taking taylor expansion of 0 in lambda2 0.575 * [backup-simplify]: Simplify 0 into 0 0.575 * [backup-simplify]: Simplify 0 into 0 0.575 * [taylor]: Taking taylor expansion of 0 in lambda1 0.575 * [backup-simplify]: Simplify 0 into 0 0.575 * [taylor]: Taking taylor expansion of 0 in lambda2 0.575 * [backup-simplify]: Simplify 0 into 0 0.575 * [backup-simplify]: Simplify 0 into 0 0.575 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (- (/ 1 (/ 1 (- lambda2))) (/ 1 (/ 1 (- lambda1))))))) (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) 0.575 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.576 * [backup-simplify]: Simplify (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) into (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) 0.576 * [approximate]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 0.576 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R 0.576 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R 0.576 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) into (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) 0.576 * [taylor]: Taking taylor expansion of R in R 0.576 * [backup-simplify]: Simplify 0 into 0 0.576 * [backup-simplify]: Simplify 1 into 1 0.576 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2 0.576 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.576 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) into (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) 0.576 * [taylor]: Taking taylor expansion of R in lambda2 0.576 * [backup-simplify]: Simplify R into R 0.576 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1 0.576 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.576 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) into (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) 0.576 * [taylor]: Taking taylor expansion of R in lambda1 0.576 * [backup-simplify]: Simplify R into R 0.576 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2 0.576 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.577 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) into (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) 0.577 * [taylor]: Taking taylor expansion of R in phi2 0.577 * [backup-simplify]: Simplify R into R 0.577 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1 0.577 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.577 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) into (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) 0.577 * [taylor]: Taking taylor expansion of R in phi1 0.577 * [backup-simplify]: Simplify R into R 0.577 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1 0.577 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.577 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) into (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) 0.577 * [taylor]: Taking taylor expansion of R in phi1 0.577 * [backup-simplify]: Simplify R into R 0.577 * [backup-simplify]: Simplify (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) into (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) 0.577 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2 0.577 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.578 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) into (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) 0.578 * [taylor]: Taking taylor expansion of R in phi2 0.578 * [backup-simplify]: Simplify R into R 0.578 * [backup-simplify]: Simplify (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) into (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) 0.578 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1 0.578 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.578 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) into (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) 0.578 * [taylor]: Taking taylor expansion of R in lambda1 0.578 * [backup-simplify]: Simplify R into R 0.578 * [backup-simplify]: Simplify (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) into (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) 0.578 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2 0.578 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.579 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) into (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) 0.579 * [taylor]: Taking taylor expansion of R in lambda2 0.579 * [backup-simplify]: Simplify R into R 0.579 * [backup-simplify]: Simplify (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) into (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) 0.579 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R 0.579 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R 0.579 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) into (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) 0.579 * [taylor]: Taking taylor expansion of R in R 0.579 * [backup-simplify]: Simplify 0 into 0 0.579 * [backup-simplify]: Simplify 1 into 1 0.579 * [backup-simplify]: Simplify (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) 0) into 0 0.579 * [backup-simplify]: Simplify 0 into 0 0.580 * [backup-simplify]: Simplify (+ (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) 0) (* 0 R)) into 0 0.580 * [taylor]: Taking taylor expansion of 0 in phi2 0.580 * [backup-simplify]: Simplify 0 into 0 0.580 * [taylor]: Taking taylor expansion of 0 in lambda1 0.580 * [backup-simplify]: Simplify 0 into 0 0.580 * [taylor]: Taking taylor expansion of 0 in lambda2 0.580 * [backup-simplify]: Simplify 0 into 0 0.580 * [taylor]: Taking taylor expansion of 0 in R 0.580 * [backup-simplify]: Simplify 0 into 0 0.580 * [backup-simplify]: Simplify 0 into 0 0.580 * [backup-simplify]: Simplify (+ (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) 0) (* 0 R)) into 0 0.580 * [taylor]: Taking taylor expansion of 0 in lambda1 0.580 * [backup-simplify]: Simplify 0 into 0 0.580 * [taylor]: Taking taylor expansion of 0 in lambda2 0.580 * [backup-simplify]: Simplify 0 into 0 0.580 * [taylor]: Taking taylor expansion of 0 in R 0.580 * [backup-simplify]: Simplify 0 into 0 0.580 * [backup-simplify]: Simplify 0 into 0 0.580 * [backup-simplify]: Simplify (+ (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) 0) (* 0 R)) into 0 0.580 * [taylor]: Taking taylor expansion of 0 in lambda2 0.580 * [backup-simplify]: Simplify 0 into 0 0.580 * [taylor]: Taking taylor expansion of 0 in R 0.580 * [backup-simplify]: Simplify 0 into 0 0.580 * [backup-simplify]: Simplify 0 into 0 0.581 * [backup-simplify]: Simplify (+ (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) 0) (* 0 R)) into 0 0.581 * [taylor]: Taking taylor expansion of 0 in R 0.581 * [backup-simplify]: Simplify 0 into 0 0.581 * [backup-simplify]: Simplify 0 into 0 0.581 * [backup-simplify]: Simplify (+ (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) 1) (* 0 0)) into (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) 0.581 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) into (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) 0.582 * [backup-simplify]: Simplify (+ (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) 0) (+ (* 0 0) (* 0 R))) into 0 0.582 * [taylor]: Taking taylor expansion of 0 in phi2 0.582 * [backup-simplify]: Simplify 0 into 0 0.582 * [taylor]: Taking taylor expansion of 0 in lambda1 0.582 * [backup-simplify]: Simplify 0 into 0 0.582 * [taylor]: Taking taylor expansion of 0 in lambda2 0.582 * [backup-simplify]: Simplify 0 into 0 0.582 * [taylor]: Taking taylor expansion of 0 in R 0.582 * [backup-simplify]: Simplify 0 into 0 0.582 * [backup-simplify]: Simplify 0 into 0 0.582 * [taylor]: Taking taylor expansion of 0 in lambda1 0.582 * [backup-simplify]: Simplify 0 into 0 0.582 * [taylor]: Taking taylor expansion of 0 in lambda2 0.582 * [backup-simplify]: Simplify 0 into 0 0.582 * [taylor]: Taking taylor expansion of 0 in R 0.582 * [backup-simplify]: Simplify 0 into 0 0.582 * [backup-simplify]: Simplify 0 into 0 0.583 * [backup-simplify]: Simplify (+ (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) 0) (+ (* 0 0) (* 0 R))) into 0 0.583 * [taylor]: Taking taylor expansion of 0 in lambda1 0.583 * [backup-simplify]: Simplify 0 into 0 0.583 * [taylor]: Taking taylor expansion of 0 in lambda2 0.583 * [backup-simplify]: Simplify 0 into 0 0.583 * [taylor]: Taking taylor expansion of 0 in R 0.583 * [backup-simplify]: Simplify 0 into 0 0.583 * [backup-simplify]: Simplify 0 into 0 0.583 * [taylor]: Taking taylor expansion of 0 in lambda2 0.583 * [backup-simplify]: Simplify 0 into 0 0.583 * [taylor]: Taking taylor expansion of 0 in R 0.583 * [backup-simplify]: Simplify 0 into 0 0.583 * [backup-simplify]: Simplify 0 into 0 0.583 * [taylor]: Taking taylor expansion of 0 in lambda2 0.583 * [backup-simplify]: Simplify 0 into 0 0.583 * [taylor]: Taking taylor expansion of 0 in R 0.583 * [backup-simplify]: Simplify 0 into 0 0.583 * [backup-simplify]: Simplify 0 into 0 0.584 * [backup-simplify]: Simplify (+ (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) 0) (+ (* 0 0) (* 0 R))) into 0 0.584 * [taylor]: Taking taylor expansion of 0 in lambda2 0.584 * [backup-simplify]: Simplify 0 into 0 0.584 * [taylor]: Taking taylor expansion of 0 in R 0.584 * [backup-simplify]: Simplify 0 into 0 0.584 * [backup-simplify]: Simplify 0 into 0 0.584 * [backup-simplify]: Simplify (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) (* R (* 1 (* 1 (* 1 1))))) into (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) 0.585 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))) (/ 1 R)) into (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) 0.585 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 0.585 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in R 0.585 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in R 0.585 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) into (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) 0.585 * [taylor]: Taking taylor expansion of R in R 0.585 * [backup-simplify]: Simplify 0 into 0 0.585 * [backup-simplify]: Simplify 1 into 1 0.585 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) 1) into (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) 0.585 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in lambda2 0.586 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda2 0.586 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) into (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) 0.586 * [taylor]: Taking taylor expansion of R in lambda2 0.586 * [backup-simplify]: Simplify R into R 0.586 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) into (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) 0.586 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in lambda1 0.586 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda1 0.586 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) into (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) 0.586 * [taylor]: Taking taylor expansion of R in lambda1 0.587 * [backup-simplify]: Simplify R into R 0.587 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) into (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) 0.587 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in phi2 0.587 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi2 0.587 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) into (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) 0.587 * [taylor]: Taking taylor expansion of R in phi2 0.587 * [backup-simplify]: Simplify R into R 0.587 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) into (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) 0.588 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in phi1 0.588 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi1 0.588 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) into (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) 0.588 * [taylor]: Taking taylor expansion of R in phi1 0.588 * [backup-simplify]: Simplify R into R 0.588 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) into (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) 0.588 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in phi1 0.588 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi1 0.588 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) into (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) 0.588 * [taylor]: Taking taylor expansion of R in phi1 0.589 * [backup-simplify]: Simplify R into R 0.589 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) into (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) 0.589 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in phi2 0.589 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi2 0.589 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) into (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) 0.589 * [taylor]: Taking taylor expansion of R in phi2 0.589 * [backup-simplify]: Simplify R into R 0.590 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) into (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) 0.590 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in lambda1 0.590 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda1 0.590 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) into (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) 0.590 * [taylor]: Taking taylor expansion of R in lambda1 0.590 * [backup-simplify]: Simplify R into R 0.590 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) into (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) 0.590 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in lambda2 0.590 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda2 0.591 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) into (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) 0.591 * [taylor]: Taking taylor expansion of R in lambda2 0.591 * [backup-simplify]: Simplify R into R 0.591 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) into (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) 0.591 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in R 0.591 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in R 0.591 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) into (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) 0.591 * [taylor]: Taking taylor expansion of R in R 0.591 * [backup-simplify]: Simplify 0 into 0 0.591 * [backup-simplify]: Simplify 1 into 1 0.592 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) 1) into (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) 0.592 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) into (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) 0.592 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) (/ 0 R)))) into 0 0.592 * [taylor]: Taking taylor expansion of 0 in phi2 0.593 * [backup-simplify]: Simplify 0 into 0 0.593 * [taylor]: Taking taylor expansion of 0 in lambda1 0.593 * [backup-simplify]: Simplify 0 into 0 0.593 * [taylor]: Taking taylor expansion of 0 in lambda2 0.593 * [backup-simplify]: Simplify 0 into 0 0.593 * [taylor]: Taking taylor expansion of 0 in R 0.593 * [backup-simplify]: Simplify 0 into 0 0.593 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) (/ 0 R)))) into 0 0.593 * [taylor]: Taking taylor expansion of 0 in lambda1 0.593 * [backup-simplify]: Simplify 0 into 0 0.593 * [taylor]: Taking taylor expansion of 0 in lambda2 0.593 * [backup-simplify]: Simplify 0 into 0 0.593 * [taylor]: Taking taylor expansion of 0 in R 0.593 * [backup-simplify]: Simplify 0 into 0 0.593 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) (/ 0 R)))) into 0 0.594 * [taylor]: Taking taylor expansion of 0 in lambda2 0.594 * [backup-simplify]: Simplify 0 into 0 0.594 * [taylor]: Taking taylor expansion of 0 in R 0.594 * [backup-simplify]: Simplify 0 into 0 0.594 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) (/ 0 R)))) into 0 0.594 * [taylor]: Taking taylor expansion of 0 in R 0.594 * [backup-simplify]: Simplify 0 into 0 0.595 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) (/ 0 1)))) into 0 0.595 * [backup-simplify]: Simplify 0 into 0 0.596 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 0.596 * [taylor]: Taking taylor expansion of 0 in phi2 0.596 * [backup-simplify]: Simplify 0 into 0 0.596 * [taylor]: Taking taylor expansion of 0 in lambda1 0.596 * [backup-simplify]: Simplify 0 into 0 0.596 * [taylor]: Taking taylor expansion of 0 in lambda2 0.596 * [backup-simplify]: Simplify 0 into 0 0.596 * [taylor]: Taking taylor expansion of 0 in R 0.596 * [backup-simplify]: Simplify 0 into 0 0.596 * [taylor]: Taking taylor expansion of 0 in lambda1 0.596 * [backup-simplify]: Simplify 0 into 0 0.596 * [taylor]: Taking taylor expansion of 0 in lambda2 0.596 * [backup-simplify]: Simplify 0 into 0 0.596 * [taylor]: Taking taylor expansion of 0 in R 0.596 * [backup-simplify]: Simplify 0 into 0 0.596 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 0.597 * [taylor]: Taking taylor expansion of 0 in lambda1 0.597 * [backup-simplify]: Simplify 0 into 0 0.597 * [taylor]: Taking taylor expansion of 0 in lambda2 0.597 * [backup-simplify]: Simplify 0 into 0 0.597 * [taylor]: Taking taylor expansion of 0 in R 0.597 * [backup-simplify]: Simplify 0 into 0 0.597 * [taylor]: Taking taylor expansion of 0 in lambda2 0.597 * [backup-simplify]: Simplify 0 into 0 0.597 * [taylor]: Taking taylor expansion of 0 in R 0.597 * [backup-simplify]: Simplify 0 into 0 0.597 * [taylor]: Taking taylor expansion of 0 in lambda2 0.597 * [backup-simplify]: Simplify 0 into 0 0.597 * [taylor]: Taking taylor expansion of 0 in R 0.597 * [backup-simplify]: Simplify 0 into 0 0.597 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 0.597 * [taylor]: Taking taylor expansion of 0 in lambda2 0.597 * [backup-simplify]: Simplify 0 into 0 0.597 * [taylor]: Taking taylor expansion of 0 in R 0.597 * [backup-simplify]: Simplify 0 into 0 0.597 * [taylor]: Taking taylor expansion of 0 in R 0.597 * [backup-simplify]: Simplify 0 into 0 0.597 * [taylor]: Taking taylor expansion of 0 in R 0.597 * [backup-simplify]: Simplify 0 into 0 0.597 * [taylor]: Taking taylor expansion of 0 in R 0.597 * [backup-simplify]: Simplify 0 into 0 0.598 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 0.598 * [taylor]: Taking taylor expansion of 0 in R 0.598 * [backup-simplify]: Simplify 0 into 0 0.598 * [backup-simplify]: Simplify 0 into 0 0.598 * [backup-simplify]: Simplify 0 into 0 0.598 * [backup-simplify]: Simplify 0 into 0 0.598 * [backup-simplify]: Simplify 0 into 0 0.603 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.603 * [backup-simplify]: Simplify 0 into 0 0.604 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 (/ 1 phi1))) (sin (/ 1 (/ 1 phi2)))) (* (cos (/ 1 (/ 1 phi1))) (* (cos (/ 1 (/ 1 phi2))) (cos (- (/ 1 (/ 1 lambda1)) (/ 1 (/ 1 lambda2)))))))) (* (/ 1 (/ 1 R)) (* 1 (* 1 (* 1 1))))) into (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) 0.604 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2))))))) (/ 1 (- R))) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) 0.604 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 0.604 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in R 0.605 * [taylor]: Taking taylor expansion of -1 in R 0.605 * [backup-simplify]: Simplify -1 into -1 0.605 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in R 0.605 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in R 0.605 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) 0.605 * [taylor]: Taking taylor expansion of R in R 0.605 * [backup-simplify]: Simplify 0 into 0 0.605 * [backup-simplify]: Simplify 1 into 1 0.605 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) 1) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) 0.605 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in lambda2 0.605 * [taylor]: Taking taylor expansion of -1 in lambda2 0.605 * [backup-simplify]: Simplify -1 into -1 0.605 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in lambda2 0.605 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda2 0.606 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) 0.606 * [taylor]: Taking taylor expansion of R in lambda2 0.606 * [backup-simplify]: Simplify R into R 0.606 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) 0.606 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in lambda1 0.606 * [taylor]: Taking taylor expansion of -1 in lambda1 0.606 * [backup-simplify]: Simplify -1 into -1 0.606 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in lambda1 0.606 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda1 0.606 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) 0.606 * [taylor]: Taking taylor expansion of R in lambda1 0.606 * [backup-simplify]: Simplify R into R 0.607 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) 0.607 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in phi2 0.607 * [taylor]: Taking taylor expansion of -1 in phi2 0.607 * [backup-simplify]: Simplify -1 into -1 0.607 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in phi2 0.607 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi2 0.607 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) 0.607 * [taylor]: Taking taylor expansion of R in phi2 0.607 * [backup-simplify]: Simplify R into R 0.607 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) 0.607 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in phi1 0.607 * [taylor]: Taking taylor expansion of -1 in phi1 0.607 * [backup-simplify]: Simplify -1 into -1 0.607 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in phi1 0.607 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi1 0.608 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) 0.608 * [taylor]: Taking taylor expansion of R in phi1 0.608 * [backup-simplify]: Simplify R into R 0.608 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) 0.608 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in phi1 0.608 * [taylor]: Taking taylor expansion of -1 in phi1 0.608 * [backup-simplify]: Simplify -1 into -1 0.608 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in phi1 0.608 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi1 0.608 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) 0.608 * [taylor]: Taking taylor expansion of R in phi1 0.608 * [backup-simplify]: Simplify R into R 0.609 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) 0.609 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) 0.609 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in phi2 0.609 * [taylor]: Taking taylor expansion of -1 in phi2 0.609 * [backup-simplify]: Simplify -1 into -1 0.609 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in phi2 0.609 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi2 0.610 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) 0.610 * [taylor]: Taking taylor expansion of R in phi2 0.610 * [backup-simplify]: Simplify R into R 0.610 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) 0.610 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) 0.610 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in lambda1 0.610 * [taylor]: Taking taylor expansion of -1 in lambda1 0.610 * [backup-simplify]: Simplify -1 into -1 0.610 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in lambda1 0.610 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda1 0.611 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) 0.611 * [taylor]: Taking taylor expansion of R in lambda1 0.611 * [backup-simplify]: Simplify R into R 0.611 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) 0.611 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) 0.611 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in lambda2 0.611 * [taylor]: Taking taylor expansion of -1 in lambda2 0.611 * [backup-simplify]: Simplify -1 into -1 0.611 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in lambda2 0.611 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda2 0.612 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) 0.612 * [taylor]: Taking taylor expansion of R in lambda2 0.612 * [backup-simplify]: Simplify R into R 0.612 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) 0.612 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) 0.612 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in R 0.612 * [taylor]: Taking taylor expansion of -1 in R 0.612 * [backup-simplify]: Simplify -1 into -1 0.612 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in R 0.612 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in R 0.613 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) 0.613 * [taylor]: Taking taylor expansion of R in R 0.613 * [backup-simplify]: Simplify 0 into 0 0.613 * [backup-simplify]: Simplify 1 into 1 0.613 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) 1) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) 0.613 * [backup-simplify]: Simplify (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 0.614 * [backup-simplify]: Simplify (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 0.614 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) (/ 0 R)))) into 0 0.615 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R))) into 0 0.615 * [taylor]: Taking taylor expansion of 0 in phi2 0.615 * [backup-simplify]: Simplify 0 into 0 0.615 * [taylor]: Taking taylor expansion of 0 in lambda1 0.615 * [backup-simplify]: Simplify 0 into 0 0.615 * [taylor]: Taking taylor expansion of 0 in lambda2 0.615 * [backup-simplify]: Simplify 0 into 0 0.615 * [taylor]: Taking taylor expansion of 0 in R 0.615 * [backup-simplify]: Simplify 0 into 0 0.616 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) (/ 0 R)))) into 0 0.616 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R))) into 0 0.616 * [taylor]: Taking taylor expansion of 0 in lambda1 0.617 * [backup-simplify]: Simplify 0 into 0 0.617 * [taylor]: Taking taylor expansion of 0 in lambda2 0.617 * [backup-simplify]: Simplify 0 into 0 0.617 * [taylor]: Taking taylor expansion of 0 in R 0.617 * [backup-simplify]: Simplify 0 into 0 0.617 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) (/ 0 R)))) into 0 0.618 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R))) into 0 0.618 * [taylor]: Taking taylor expansion of 0 in lambda2 0.618 * [backup-simplify]: Simplify 0 into 0 0.618 * [taylor]: Taking taylor expansion of 0 in R 0.618 * [backup-simplify]: Simplify 0 into 0 0.618 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) (/ 0 R)))) into 0 0.619 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R))) into 0 0.619 * [taylor]: Taking taylor expansion of 0 in R 0.619 * [backup-simplify]: Simplify 0 into 0 0.620 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (/ 0 1)))) into 0 0.620 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) into 0 0.620 * [backup-simplify]: Simplify 0 into 0 0.621 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 0.621 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)))) into 0 0.621 * [taylor]: Taking taylor expansion of 0 in phi2 0.621 * [backup-simplify]: Simplify 0 into 0 0.621 * [taylor]: Taking taylor expansion of 0 in lambda1 0.621 * [backup-simplify]: Simplify 0 into 0 0.621 * [taylor]: Taking taylor expansion of 0 in lambda2 0.621 * [backup-simplify]: Simplify 0 into 0 0.621 * [taylor]: Taking taylor expansion of 0 in R 0.622 * [backup-simplify]: Simplify 0 into 0 0.622 * [taylor]: Taking taylor expansion of 0 in lambda1 0.622 * [backup-simplify]: Simplify 0 into 0 0.622 * [taylor]: Taking taylor expansion of 0 in lambda2 0.622 * [backup-simplify]: Simplify 0 into 0 0.622 * [taylor]: Taking taylor expansion of 0 in R 0.622 * [backup-simplify]: Simplify 0 into 0 0.622 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 0.623 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)))) into 0 0.623 * [taylor]: Taking taylor expansion of 0 in lambda1 0.623 * [backup-simplify]: Simplify 0 into 0 0.623 * [taylor]: Taking taylor expansion of 0 in lambda2 0.623 * [backup-simplify]: Simplify 0 into 0 0.623 * [taylor]: Taking taylor expansion of 0 in R 0.623 * [backup-simplify]: Simplify 0 into 0 0.623 * [taylor]: Taking taylor expansion of 0 in lambda2 0.623 * [backup-simplify]: Simplify 0 into 0 0.623 * [taylor]: Taking taylor expansion of 0 in R 0.623 * [backup-simplify]: Simplify 0 into 0 0.623 * [taylor]: Taking taylor expansion of 0 in lambda2 0.623 * [backup-simplify]: Simplify 0 into 0 0.623 * [taylor]: Taking taylor expansion of 0 in R 0.623 * [backup-simplify]: Simplify 0 into 0 0.624 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 0.624 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)))) into 0 0.624 * [taylor]: Taking taylor expansion of 0 in lambda2 0.624 * [backup-simplify]: Simplify 0 into 0 0.624 * [taylor]: Taking taylor expansion of 0 in R 0.624 * [backup-simplify]: Simplify 0 into 0 0.625 * [taylor]: Taking taylor expansion of 0 in R 0.625 * [backup-simplify]: Simplify 0 into 0 0.625 * [taylor]: Taking taylor expansion of 0 in R 0.625 * [backup-simplify]: Simplify 0 into 0 0.625 * [taylor]: Taking taylor expansion of 0 in R 0.625 * [backup-simplify]: Simplify 0 into 0 0.625 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 0.626 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)))) into 0 0.626 * [taylor]: Taking taylor expansion of 0 in R 0.626 * [backup-simplify]: Simplify 0 into 0 0.626 * [backup-simplify]: Simplify 0 into 0 0.626 * [backup-simplify]: Simplify 0 into 0 0.626 * [backup-simplify]: Simplify 0 into 0 0.626 * [backup-simplify]: Simplify 0 into 0 0.627 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.628 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))))) into 0 0.628 * [backup-simplify]: Simplify 0 into 0 0.629 * [backup-simplify]: Simplify (* (* -1 (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (- (/ 1 (/ 1 (- lambda2))) (/ 1 (/ 1 (- lambda1))))))) (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2)))))))) (* (/ 1 (/ 1 (- R))) (* 1 (* 1 (* 1 1))))) into (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) 0.629 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 0.629 * [backup-simplify]: Simplify (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))) into (* (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))) 0.629 * [approximate]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))) in (phi1 phi2 lambda1 lambda2) around 0 0.629 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))) in lambda2 0.629 * [taylor]: Taking taylor expansion of (cos phi1) in lambda2 0.629 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.629 * [backup-simplify]: Simplify phi1 into phi1 0.629 * [backup-simplify]: Simplify (cos phi1) into (cos phi1) 0.629 * [backup-simplify]: Simplify (sin phi1) into (sin phi1) 0.629 * [taylor]: Taking taylor expansion of (* (cos phi2) (cos (- lambda1 lambda2))) in lambda2 0.629 * [taylor]: Taking taylor expansion of (cos phi2) in lambda2 0.629 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.629 * [backup-simplify]: Simplify phi2 into phi2 0.629 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 0.629 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 0.629 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2 0.629 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2 0.629 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.629 * [backup-simplify]: Simplify lambda1 into lambda1 0.629 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.629 * [backup-simplify]: Simplify 0 into 0 0.629 * [backup-simplify]: Simplify 1 into 1 0.630 * [backup-simplify]: Simplify (- 0) into 0 0.630 * [backup-simplify]: Simplify (+ lambda1 0) into lambda1 0.630 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 0.630 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 0.630 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))) in lambda1 0.630 * [taylor]: Taking taylor expansion of (cos phi1) in lambda1 0.630 * [taylor]: Taking taylor expansion of phi1 in lambda1 0.630 * [backup-simplify]: Simplify phi1 into phi1 0.630 * [backup-simplify]: Simplify (cos phi1) into (cos phi1) 0.630 * [backup-simplify]: Simplify (sin phi1) into (sin phi1) 0.630 * [taylor]: Taking taylor expansion of (* (cos phi2) (cos (- lambda1 lambda2))) in lambda1 0.630 * [taylor]: Taking taylor expansion of (cos phi2) in lambda1 0.630 * [taylor]: Taking taylor expansion of phi2 in lambda1 0.630 * [backup-simplify]: Simplify phi2 into phi2 0.630 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 0.630 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 0.630 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.630 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.630 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.630 * [backup-simplify]: Simplify 0 into 0 0.630 * [backup-simplify]: Simplify 1 into 1 0.630 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.630 * [backup-simplify]: Simplify lambda2 into lambda2 0.630 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 0.630 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2) 0.630 * [backup-simplify]: Simplify (cos (- lambda2)) into (cos (- lambda2)) 0.630 * [backup-simplify]: Simplify (sin (- lambda2)) into (sin (- lambda2)) 0.630 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))) in phi2 0.630 * [taylor]: Taking taylor expansion of (cos phi1) in phi2 0.630 * [taylor]: Taking taylor expansion of phi1 in phi2 0.630 * [backup-simplify]: Simplify phi1 into phi1 0.630 * [backup-simplify]: Simplify (cos phi1) into (cos phi1) 0.630 * [backup-simplify]: Simplify (sin phi1) into (sin phi1) 0.630 * [taylor]: Taking taylor expansion of (* (cos phi2) (cos (- lambda1 lambda2))) in phi2 0.630 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 0.630 * [taylor]: Taking taylor expansion of phi2 in phi2 0.630 * [backup-simplify]: Simplify 0 into 0 0.630 * [backup-simplify]: Simplify 1 into 1 0.631 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in phi2 0.631 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in phi2 0.631 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.631 * [backup-simplify]: Simplify lambda1 into lambda1 0.631 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.631 * [backup-simplify]: Simplify lambda2 into lambda2 0.631 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 0.631 * [backup-simplify]: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2) 0.631 * [backup-simplify]: Simplify (cos (- lambda1 lambda2)) into (cos (- lambda1 lambda2)) 0.631 * [backup-simplify]: Simplify (sin (- lambda1 lambda2)) into (sin (- lambda1 lambda2)) 0.631 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))) in phi1 0.631 * [taylor]: Taking taylor expansion of (cos phi1) in phi1 0.631 * [taylor]: Taking taylor expansion of phi1 in phi1 0.631 * [backup-simplify]: Simplify 0 into 0 0.631 * [backup-simplify]: Simplify 1 into 1 0.631 * [taylor]: Taking taylor expansion of (* (cos phi2) (cos (- lambda1 lambda2))) in phi1 0.631 * [taylor]: Taking taylor expansion of (cos phi2) in phi1 0.631 * [taylor]: Taking taylor expansion of phi2 in phi1 0.631 * [backup-simplify]: Simplify phi2 into phi2 0.631 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 0.631 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 0.631 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in phi1 0.631 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in phi1 0.631 * [taylor]: Taking taylor expansion of lambda1 in phi1 0.631 * [backup-simplify]: Simplify lambda1 into lambda1 0.631 * [taylor]: Taking taylor expansion of lambda2 in phi1 0.631 * [backup-simplify]: Simplify lambda2 into lambda2 0.631 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 0.631 * [backup-simplify]: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2) 0.631 * [backup-simplify]: Simplify (cos (- lambda1 lambda2)) into (cos (- lambda1 lambda2)) 0.631 * [backup-simplify]: Simplify (sin (- lambda1 lambda2)) into (sin (- lambda1 lambda2)) 0.631 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))) in phi1 0.631 * [taylor]: Taking taylor expansion of (cos phi1) in phi1 0.631 * [taylor]: Taking taylor expansion of phi1 in phi1 0.631 * [backup-simplify]: Simplify 0 into 0 0.631 * [backup-simplify]: Simplify 1 into 1 0.631 * [taylor]: Taking taylor expansion of (* (cos phi2) (cos (- lambda1 lambda2))) in phi1 0.631 * [taylor]: Taking taylor expansion of (cos phi2) in phi1 0.631 * [taylor]: Taking taylor expansion of phi2 in phi1 0.631 * [backup-simplify]: Simplify phi2 into phi2 0.631 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 0.631 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 0.631 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in phi1 0.631 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in phi1 0.631 * [taylor]: Taking taylor expansion of lambda1 in phi1 0.631 * [backup-simplify]: Simplify lambda1 into lambda1 0.632 * [taylor]: Taking taylor expansion of lambda2 in phi1 0.632 * [backup-simplify]: Simplify lambda2 into lambda2 0.632 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 0.632 * [backup-simplify]: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2) 0.632 * [backup-simplify]: Simplify (cos (- lambda1 lambda2)) into (cos (- lambda1 lambda2)) 0.632 * [backup-simplify]: Simplify (sin (- lambda1 lambda2)) into (sin (- lambda1 lambda2)) 0.632 * [backup-simplify]: Simplify (* (cos phi2) 1) into (cos phi2) 0.632 * [backup-simplify]: Simplify (* (sin phi2) 0) into 0 0.632 * [backup-simplify]: Simplify (- 0) into 0 0.632 * [backup-simplify]: Simplify (+ (cos phi2) 0) into (cos phi2) 0.632 * [backup-simplify]: Simplify (* (cos (- lambda1 lambda2)) 1) into (cos (- lambda1 lambda2)) 0.632 * [backup-simplify]: Simplify (* (sin (- lambda1 lambda2)) 0) into 0 0.633 * [backup-simplify]: Simplify (- 0) into 0 0.633 * [backup-simplify]: Simplify (+ (cos (- lambda1 lambda2)) 0) into (cos (- lambda1 lambda2)) 0.633 * [backup-simplify]: Simplify (* (cos phi2) (cos (- lambda1 lambda2))) into (* (cos (- lambda1 lambda2)) (cos phi2)) 0.633 * [backup-simplify]: Simplify (* 1 (* (cos (- lambda1 lambda2)) (cos phi2))) into (* (cos (- lambda1 lambda2)) (cos phi2)) 0.633 * [taylor]: Taking taylor expansion of (* (cos (- lambda1 lambda2)) (cos phi2)) in phi2 0.633 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in phi2 0.633 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in phi2 0.633 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.633 * [backup-simplify]: Simplify lambda1 into lambda1 0.633 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.633 * [backup-simplify]: Simplify lambda2 into lambda2 0.633 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 0.633 * [backup-simplify]: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2) 0.633 * [backup-simplify]: Simplify (cos (- lambda1 lambda2)) into (cos (- lambda1 lambda2)) 0.633 * [backup-simplify]: Simplify (sin (- lambda1 lambda2)) into (sin (- lambda1 lambda2)) 0.633 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 0.633 * [taylor]: Taking taylor expansion of phi2 in phi2 0.633 * [backup-simplify]: Simplify 0 into 0 0.633 * [backup-simplify]: Simplify 1 into 1 0.633 * [backup-simplify]: Simplify (* (cos (- lambda1 lambda2)) 1) into (cos (- lambda1 lambda2)) 0.633 * [backup-simplify]: Simplify (* (sin (- lambda1 lambda2)) 0) into 0 0.633 * [backup-simplify]: Simplify (- 0) into 0 0.634 * [backup-simplify]: Simplify (+ (cos (- lambda1 lambda2)) 0) into (cos (- lambda1 lambda2)) 0.634 * [backup-simplify]: Simplify (* (cos (- lambda1 lambda2)) 1) into (cos (- lambda1 lambda2)) 0.634 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.634 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.634 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.634 * [backup-simplify]: Simplify 0 into 0 0.634 * [backup-simplify]: Simplify 1 into 1 0.634 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.634 * [backup-simplify]: Simplify lambda2 into lambda2 0.634 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 0.634 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2) 0.634 * [backup-simplify]: Simplify (cos (- lambda2)) into (cos (- lambda2)) 0.634 * [backup-simplify]: Simplify (sin (- lambda2)) into (sin (- lambda2)) 0.634 * [backup-simplify]: Simplify (* (cos (- lambda2)) 1) into (cos (- lambda2)) 0.634 * [backup-simplify]: Simplify (* (sin (- lambda2)) 0) into 0 0.634 * [backup-simplify]: Simplify (- 0) into 0 0.634 * [backup-simplify]: Simplify (+ (cos (- lambda2)) 0) into (cos (- lambda2)) 0.634 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.634 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.634 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.634 * [backup-simplify]: Simplify 0 into 0 0.634 * [backup-simplify]: Simplify 1 into 1 0.635 * [backup-simplify]: Simplify (- 0) into 0 0.635 * [backup-simplify]: Simplify (- 1) into -1 0.635 * [backup-simplify]: Simplify 1 into 1 0.635 * [backup-simplify]: Simplify (+ 0) into 0 0.636 * [backup-simplify]: Simplify (+ (* (cos (- lambda1 lambda2)) 0) (* 0 1)) into 0 0.636 * [backup-simplify]: Simplify (- 0) into 0 0.636 * [backup-simplify]: Simplify (+ 0 0) into 0 0.637 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.637 * [backup-simplify]: Simplify (+ (* (sin (- lambda1 lambda2)) 0) (* 0 0)) into 0 0.637 * [backup-simplify]: Simplify (- 0) into 0 0.637 * [backup-simplify]: Simplify (+ 0 0) into 0 0.638 * [backup-simplify]: Simplify (+ 0) into 0 0.638 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (* 0 1)) into 0 0.639 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.639 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (* 0 0)) into 0 0.639 * [backup-simplify]: Simplify (- 0) into 0 0.639 * [backup-simplify]: Simplify (+ 0 0) into 0 0.639 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (* 0 (cos (- lambda1 lambda2)))) into 0 0.640 * [backup-simplify]: Simplify (+ 0) into 0 0.640 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (* (cos (- lambda1 lambda2)) (cos phi2)))) into 0 0.640 * [taylor]: Taking taylor expansion of 0 in phi2 0.640 * [backup-simplify]: Simplify 0 into 0 0.640 * [taylor]: Taking taylor expansion of 0 in lambda1 0.640 * [backup-simplify]: Simplify 0 into 0 0.640 * [taylor]: Taking taylor expansion of 0 in lambda2 0.640 * [backup-simplify]: Simplify 0 into 0 0.640 * [backup-simplify]: Simplify 0 into 0 0.640 * [backup-simplify]: Simplify (+ 0) into 0 0.641 * [backup-simplify]: Simplify (+ 0) into 0 0.641 * [backup-simplify]: Simplify (+ (* (cos (- lambda1 lambda2)) 0) (* 0 1)) into 0 0.641 * [backup-simplify]: Simplify (- 0) into 0 0.642 * [backup-simplify]: Simplify (+ 0 0) into 0 0.642 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.642 * [backup-simplify]: Simplify (+ (* (sin (- lambda1 lambda2)) 0) (* 0 0)) into 0 0.643 * [backup-simplify]: Simplify (- 0) into 0 0.643 * [backup-simplify]: Simplify (+ 0 0) into 0 0.643 * [backup-simplify]: Simplify (+ (* (cos (- lambda1 lambda2)) 0) (* 0 1)) into 0 0.643 * [taylor]: Taking taylor expansion of 0 in lambda1 0.643 * [backup-simplify]: Simplify 0 into 0 0.643 * [taylor]: Taking taylor expansion of 0 in lambda2 0.643 * [backup-simplify]: Simplify 0 into 0 0.643 * [backup-simplify]: Simplify 0 into 0 0.643 * [backup-simplify]: Simplify (+ 0) into 0 0.644 * [backup-simplify]: Simplify (+ (* (cos (- lambda2)) 0) (* 0 1)) into 0 0.644 * [backup-simplify]: Simplify (- 0) into 0 0.644 * [backup-simplify]: Simplify (+ 1 0) into 1 0.645 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 0.645 * [backup-simplify]: Simplify (+ (* (sin (- lambda2)) 1) (* 0 0)) into (sin (- lambda2)) 0.645 * [backup-simplify]: Simplify (- (sin (- lambda2))) into (- (sin (- lambda2))) 0.645 * [backup-simplify]: Simplify (+ 0 (- (sin (- lambda2)))) into (- (sin (- lambda2))) 0.645 * [taylor]: Taking taylor expansion of (- (sin (- lambda2))) in lambda2 0.645 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 0.645 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.645 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.645 * [backup-simplify]: Simplify 0 into 0 0.645 * [backup-simplify]: Simplify 1 into 1 0.645 * [backup-simplify]: Simplify (- 0) into 0 0.646 * [backup-simplify]: Simplify (- 1) into -1 0.646 * [backup-simplify]: Simplify (- 0) into 0 0.646 * [backup-simplify]: Simplify 0 into 0 0.646 * [backup-simplify]: Simplify (+ 0) into 0 0.646 * [backup-simplify]: Simplify 0 into 0 0.647 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.647 * [backup-simplify]: Simplify (+ (* (cos (- lambda1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 0.647 * [backup-simplify]: Simplify (- 0) into 0 0.648 * [backup-simplify]: Simplify (+ 0 0) into 0 0.648 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.648 * [backup-simplify]: Simplify (+ (* (sin (- lambda1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 0.649 * [backup-simplify]: Simplify (- 0) into 0 0.649 * [backup-simplify]: Simplify (+ 0 0) into 0 0.649 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.650 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* 0 1))) into 0 0.650 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.651 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (* 0 0))) into 0 0.651 * [backup-simplify]: Simplify (- 0) into 0 0.651 * [backup-simplify]: Simplify (+ 0 0) into 0 0.651 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* 0 (cos (- lambda1 lambda2))))) into 0 0.652 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.653 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/2 (* (cos (- lambda1 lambda2)) (cos phi2))))) into (- (* 1/2 (* (cos (- lambda1 lambda2)) (cos phi2)))) 0.653 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (cos (- lambda1 lambda2)) (cos phi2)))) in phi2 0.653 * [taylor]: Taking taylor expansion of (* 1/2 (* (cos (- lambda1 lambda2)) (cos phi2))) in phi2 0.653 * [taylor]: Taking taylor expansion of 1/2 in phi2 0.653 * [backup-simplify]: Simplify 1/2 into 1/2 0.653 * [taylor]: Taking taylor expansion of (* (cos (- lambda1 lambda2)) (cos phi2)) in phi2 0.653 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in phi2 0.653 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in phi2 0.653 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.653 * [backup-simplify]: Simplify lambda1 into lambda1 0.653 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.653 * [backup-simplify]: Simplify lambda2 into lambda2 0.653 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 0.653 * [backup-simplify]: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2) 0.653 * [backup-simplify]: Simplify (cos (- lambda1 lambda2)) into (cos (- lambda1 lambda2)) 0.653 * [backup-simplify]: Simplify (sin (- lambda1 lambda2)) into (sin (- lambda1 lambda2)) 0.653 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 0.653 * [taylor]: Taking taylor expansion of phi2 in phi2 0.653 * [backup-simplify]: Simplify 0 into 0 0.653 * [backup-simplify]: Simplify 1 into 1 0.653 * [backup-simplify]: Simplify (* (cos (- lambda1 lambda2)) 1) into (cos (- lambda1 lambda2)) 0.653 * [backup-simplify]: Simplify (* (sin (- lambda1 lambda2)) 0) into 0 0.653 * [backup-simplify]: Simplify (- 0) into 0 0.654 * [backup-simplify]: Simplify (+ (cos (- lambda1 lambda2)) 0) into (cos (- lambda1 lambda2)) 0.654 * [backup-simplify]: Simplify (* (cos (- lambda1 lambda2)) 1) into (cos (- lambda1 lambda2)) 0.654 * [backup-simplify]: Simplify (* 1/2 (cos (- lambda1 lambda2))) into (* 1/2 (cos (- lambda1 lambda2))) 0.654 * [backup-simplify]: Simplify (- (* 1/2 (cos (- lambda1 lambda2)))) into (- (* 1/2 (cos (- lambda1 lambda2)))) 0.654 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda1 lambda2)))) in lambda1 0.654 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda1 lambda2))) in lambda1 0.654 * [taylor]: Taking taylor expansion of 1/2 in lambda1 0.654 * [backup-simplify]: Simplify 1/2 into 1/2 0.654 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.654 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.654 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.654 * [backup-simplify]: Simplify 0 into 0 0.654 * [backup-simplify]: Simplify 1 into 1 0.654 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.654 * [backup-simplify]: Simplify lambda2 into lambda2 0.654 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 0.654 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2) 0.654 * [backup-simplify]: Simplify (cos (- lambda2)) into (cos (- lambda2)) 0.654 * [backup-simplify]: Simplify (sin (- lambda2)) into (sin (- lambda2)) 0.654 * [backup-simplify]: Simplify (* (cos (- lambda2)) 1) into (cos (- lambda2)) 0.654 * [backup-simplify]: Simplify (* (sin (- lambda2)) 0) into 0 0.654 * [backup-simplify]: Simplify (- 0) into 0 0.654 * [backup-simplify]: Simplify (+ (cos (- lambda2)) 0) into (cos (- lambda2)) 0.655 * [backup-simplify]: Simplify (* 1/2 (cos (- lambda2))) into (* 1/2 (cos (- lambda2))) 0.655 * [backup-simplify]: Simplify (- (* 1/2 (cos (- lambda2)))) into (- (* 1/2 (cos (- lambda2)))) 0.655 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda2)))) in lambda2 0.655 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda2))) in lambda2 0.655 * [taylor]: Taking taylor expansion of 1/2 in lambda2 0.655 * [backup-simplify]: Simplify 1/2 into 1/2 0.655 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.655 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.655 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.655 * [backup-simplify]: Simplify 0 into 0 0.655 * [backup-simplify]: Simplify 1 into 1 0.655 * [backup-simplify]: Simplify (- 0) into 0 0.655 * [backup-simplify]: Simplify (- 1) into -1 0.655 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.656 * [backup-simplify]: Simplify (- 1/2) into -1/2 0.656 * [backup-simplify]: Simplify -1/2 into -1/2 0.656 * [taylor]: Taking taylor expansion of 0 in lambda1 0.656 * [backup-simplify]: Simplify 0 into 0 0.656 * [taylor]: Taking taylor expansion of 0 in lambda2 0.656 * [backup-simplify]: Simplify 0 into 0 0.656 * [backup-simplify]: Simplify 0 into 0 0.656 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.657 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.657 * [backup-simplify]: Simplify (+ (* (cos (- lambda1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 0.658 * [backup-simplify]: Simplify (- 0) into 0 0.658 * [backup-simplify]: Simplify (+ 0 0) into 0 0.658 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.659 * [backup-simplify]: Simplify (+ (* (sin (- lambda1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 0.659 * [backup-simplify]: Simplify (- 0) into 0 0.659 * [backup-simplify]: Simplify (+ 0 0) into 0 0.660 * [backup-simplify]: Simplify (+ (* (cos (- lambda1 lambda2)) -1/2) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (cos (- lambda1 lambda2)))) 0.660 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda1 lambda2)))) in lambda1 0.660 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda1 lambda2))) in lambda1 0.660 * [taylor]: Taking taylor expansion of 1/2 in lambda1 0.660 * [backup-simplify]: Simplify 1/2 into 1/2 0.660 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.660 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.660 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.660 * [backup-simplify]: Simplify 0 into 0 0.660 * [backup-simplify]: Simplify 1 into 1 0.660 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.660 * [backup-simplify]: Simplify lambda2 into lambda2 0.660 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 0.660 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2) 0.660 * [backup-simplify]: Simplify (cos (- lambda2)) into (cos (- lambda2)) 0.660 * [backup-simplify]: Simplify (sin (- lambda2)) into (sin (- lambda2)) 0.660 * [backup-simplify]: Simplify (* (cos (- lambda2)) 1) into (cos (- lambda2)) 0.660 * [backup-simplify]: Simplify (* (sin (- lambda2)) 0) into 0 0.660 * [backup-simplify]: Simplify (- 0) into 0 0.660 * [backup-simplify]: Simplify (+ (cos (- lambda2)) 0) into (cos (- lambda2)) 0.660 * [backup-simplify]: Simplify (* 1/2 (cos (- lambda2))) into (* 1/2 (cos (- lambda2))) 0.661 * [backup-simplify]: Simplify (- (* 1/2 (cos (- lambda2)))) into (- (* 1/2 (cos (- lambda2)))) 0.661 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda2)))) in lambda2 0.661 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda2))) in lambda2 0.661 * [taylor]: Taking taylor expansion of 1/2 in lambda2 0.661 * [backup-simplify]: Simplify 1/2 into 1/2 0.661 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.661 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.661 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.661 * [backup-simplify]: Simplify 0 into 0 0.661 * [backup-simplify]: Simplify 1 into 1 0.661 * [backup-simplify]: Simplify (- 0) into 0 0.661 * [backup-simplify]: Simplify (- 1) into -1 0.661 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.662 * [backup-simplify]: Simplify (- 1/2) into -1/2 0.662 * [backup-simplify]: Simplify -1/2 into -1/2 0.662 * [backup-simplify]: Simplify (+ (* -1/2 (pow (* 1 (* 1 (* phi2 1))) 2)) (+ (* -1/2 (pow (* 1 (* 1 (* 1 phi1))) 2)) 1)) into (- 1 (+ (* 1/2 (pow phi1 2)) (* 1/2 (pow phi2 2)))) 0.662 * [backup-simplify]: Simplify (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (cos (- (/ 1 lambda1) (/ 1 lambda2)))) into (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) 0.662 * [approximate]: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in (phi1 phi2 lambda1 lambda2) around 0 0.662 * [taylor]: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in lambda2 0.662 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.662 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.662 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.662 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.662 * [backup-simplify]: Simplify lambda1 into lambda1 0.662 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 0.662 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.662 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.662 * [backup-simplify]: Simplify 0 into 0 0.662 * [backup-simplify]: Simplify 1 into 1 0.663 * [backup-simplify]: Simplify (/ 1 1) into 1 0.663 * [backup-simplify]: Simplify (- 1) into -1 0.663 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.663 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0.663 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in lambda2 0.663 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda2 0.663 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 0.663 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.663 * [backup-simplify]: Simplify phi2 into phi2 0.663 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 0.663 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 0.663 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 0.663 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda2 0.663 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 0.664 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.664 * [backup-simplify]: Simplify phi1 into phi1 0.664 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 0.664 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 0.664 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 0.664 * [taylor]: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in lambda1 0.664 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.664 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.664 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.664 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.664 * [backup-simplify]: Simplify 0 into 0 0.664 * [backup-simplify]: Simplify 1 into 1 0.664 * [backup-simplify]: Simplify (/ 1 1) into 1 0.664 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.664 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.664 * [backup-simplify]: Simplify lambda2 into lambda2 0.664 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 0.664 * [backup-simplify]: Simplify (+ 1 0) into 1 0.664 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0.664 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in lambda1 0.665 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda1 0.665 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 0.665 * [taylor]: Taking taylor expansion of phi2 in lambda1 0.665 * [backup-simplify]: Simplify phi2 into phi2 0.665 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 0.665 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 0.665 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 0.665 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda1 0.665 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 0.665 * [taylor]: Taking taylor expansion of phi1 in lambda1 0.665 * [backup-simplify]: Simplify phi1 into phi1 0.665 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 0.665 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 0.665 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 0.665 * [taylor]: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in phi2 0.665 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in phi2 0.665 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi2 0.665 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 0.665 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.665 * [backup-simplify]: Simplify lambda1 into lambda1 0.665 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 0.665 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 0.665 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.665 * [backup-simplify]: Simplify lambda2 into lambda2 0.665 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 0.665 * [backup-simplify]: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) 0.665 * [backup-simplify]: Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2)) 0.666 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0.666 * [backup-simplify]: Simplify (sin (- (/ 1 lambda1) (/ 1 lambda2))) into (sin (- (/ 1 lambda1) (/ 1 lambda2))) 0.666 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in phi2 0.666 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi2 0.666 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.666 * [taylor]: Taking taylor expansion of phi2 in phi2 0.666 * [backup-simplify]: Simplify 0 into 0 0.666 * [backup-simplify]: Simplify 1 into 1 0.666 * [backup-simplify]: Simplify (/ 1 1) into 1 0.666 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 0.666 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi2 0.666 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.666 * [taylor]: Taking taylor expansion of phi1 in phi2 0.666 * [backup-simplify]: Simplify phi1 into phi1 0.666 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 0.666 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 0.666 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 0.666 * [taylor]: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in phi1 0.666 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in phi1 0.666 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi1 0.666 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 0.666 * [taylor]: Taking taylor expansion of lambda1 in phi1 0.666 * [backup-simplify]: Simplify lambda1 into lambda1 0.666 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 0.666 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 0.666 * [taylor]: Taking taylor expansion of lambda2 in phi1 0.666 * [backup-simplify]: Simplify lambda2 into lambda2 0.666 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 0.667 * [backup-simplify]: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) 0.667 * [backup-simplify]: Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2)) 0.667 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0.667 * [backup-simplify]: Simplify (sin (- (/ 1 lambda1) (/ 1 lambda2))) into (sin (- (/ 1 lambda1) (/ 1 lambda2))) 0.667 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in phi1 0.667 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi1 0.667 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.667 * [taylor]: Taking taylor expansion of phi2 in phi1 0.667 * [backup-simplify]: Simplify phi2 into phi2 0.667 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 0.667 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 0.667 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 0.667 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi1 0.667 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.667 * [taylor]: Taking taylor expansion of phi1 in phi1 0.667 * [backup-simplify]: Simplify 0 into 0 0.667 * [backup-simplify]: Simplify 1 into 1 0.667 * [backup-simplify]: Simplify (/ 1 1) into 1 0.667 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 0.667 * [taylor]: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in phi1 0.667 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in phi1 0.667 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi1 0.667 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 0.667 * [taylor]: Taking taylor expansion of lambda1 in phi1 0.668 * [backup-simplify]: Simplify lambda1 into lambda1 0.668 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 0.668 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 0.668 * [taylor]: Taking taylor expansion of lambda2 in phi1 0.668 * [backup-simplify]: Simplify lambda2 into lambda2 0.668 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 0.668 * [backup-simplify]: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) 0.668 * [backup-simplify]: Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2)) 0.668 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0.668 * [backup-simplify]: Simplify (sin (- (/ 1 lambda1) (/ 1 lambda2))) into (sin (- (/ 1 lambda1) (/ 1 lambda2))) 0.668 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in phi1 0.668 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi1 0.668 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.668 * [taylor]: Taking taylor expansion of phi2 in phi1 0.668 * [backup-simplify]: Simplify phi2 into phi2 0.668 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 0.668 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 0.668 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 0.668 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi1 0.668 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.668 * [taylor]: Taking taylor expansion of phi1 in phi1 0.668 * [backup-simplify]: Simplify 0 into 0 0.668 * [backup-simplify]: Simplify 1 into 1 0.668 * [backup-simplify]: Simplify (/ 1 1) into 1 0.669 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 0.669 * [backup-simplify]: Simplify (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0.669 * [backup-simplify]: Simplify (* (sin (- (/ 1 lambda1) (/ 1 lambda2))) 0) into 0 0.669 * [backup-simplify]: Simplify (- 0) into 0 0.669 * [backup-simplify]: Simplify (+ (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0.669 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 1) into (cos (/ 1 phi2)) 0.669 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 0) into 0 0.670 * [backup-simplify]: Simplify (- 0) into 0 0.670 * [backup-simplify]: Simplify (+ (cos (/ 1 phi2)) 0) into (cos (/ 1 phi2)) 0.670 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) into (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) 0.670 * [backup-simplify]: Simplify (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) into (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) 0.670 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) in phi2 0.670 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi2 0.670 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.670 * [taylor]: Taking taylor expansion of phi1 in phi2 0.670 * [backup-simplify]: Simplify phi1 into phi1 0.670 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 0.670 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 0.670 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 0.670 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2)))) in phi2 0.670 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi2 0.670 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.670 * [taylor]: Taking taylor expansion of phi2 in phi2 0.670 * [backup-simplify]: Simplify 0 into 0 0.670 * [backup-simplify]: Simplify 1 into 1 0.670 * [backup-simplify]: Simplify (/ 1 1) into 1 0.671 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 0.671 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in phi2 0.671 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi2 0.671 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 0.671 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.671 * [backup-simplify]: Simplify lambda1 into lambda1 0.671 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 0.671 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 0.671 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.671 * [backup-simplify]: Simplify lambda2 into lambda2 0.671 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 0.671 * [backup-simplify]: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) 0.671 * [backup-simplify]: Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2)) 0.671 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0.671 * [backup-simplify]: Simplify (sin (- (/ 1 lambda1) (/ 1 lambda2))) into (sin (- (/ 1 lambda1) (/ 1 lambda2))) 0.671 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 1) into (cos (/ 1 phi1)) 0.671 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 0) into 0 0.671 * [backup-simplify]: Simplify (- 0) into 0 0.671 * [backup-simplify]: Simplify (+ (cos (/ 1 phi1)) 0) into (cos (/ 1 phi1)) 0.672 * [backup-simplify]: Simplify (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0.672 * [backup-simplify]: Simplify (* (sin (- (/ 1 lambda1) (/ 1 lambda2))) 0) into 0 0.672 * [backup-simplify]: Simplify (- 0) into 0 0.672 * [backup-simplify]: Simplify (+ (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0.672 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2)))) into (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2)))) 0.672 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) into (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) 0.672 * [taylor]: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in lambda1 0.672 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.672 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.672 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.672 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.672 * [backup-simplify]: Simplify 0 into 0 0.672 * [backup-simplify]: Simplify 1 into 1 0.673 * [backup-simplify]: Simplify (/ 1 1) into 1 0.673 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.673 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.673 * [backup-simplify]: Simplify lambda2 into lambda2 0.673 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 0.673 * [backup-simplify]: Simplify (+ 1 0) into 1 0.673 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0.673 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in lambda1 0.673 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda1 0.673 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 0.673 * [taylor]: Taking taylor expansion of phi2 in lambda1 0.673 * [backup-simplify]: Simplify phi2 into phi2 0.673 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 0.673 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 0.673 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 0.673 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda1 0.673 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 0.673 * [taylor]: Taking taylor expansion of phi1 in lambda1 0.673 * [backup-simplify]: Simplify phi1 into phi1 0.673 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 0.673 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 0.673 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 0.674 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 1) into (cos (/ 1 phi2)) 0.674 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 0) into 0 0.674 * [backup-simplify]: Simplify (- 0) into 0 0.674 * [backup-simplify]: Simplify (+ (cos (/ 1 phi2)) 0) into (cos (/ 1 phi2)) 0.674 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 1) into (cos (/ 1 phi1)) 0.674 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 0) into 0 0.674 * [backup-simplify]: Simplify (- 0) into 0 0.674 * [backup-simplify]: Simplify (+ (cos (/ 1 phi1)) 0) into (cos (/ 1 phi1)) 0.674 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) into (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) 0.675 * [backup-simplify]: Simplify (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) into (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) 0.675 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) in lambda2 0.675 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda2 0.675 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 0.675 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.675 * [backup-simplify]: Simplify phi1 into phi1 0.675 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 0.675 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 0.675 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 0.675 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2)))) in lambda2 0.675 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda2 0.675 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 0.675 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.675 * [backup-simplify]: Simplify phi2 into phi2 0.675 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 0.675 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 0.675 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 0.675 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.675 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.675 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.675 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.675 * [backup-simplify]: Simplify lambda1 into lambda1 0.675 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 0.675 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.675 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.675 * [backup-simplify]: Simplify 0 into 0 0.675 * [backup-simplify]: Simplify 1 into 1 0.675 * [backup-simplify]: Simplify (/ 1 1) into 1 0.676 * [backup-simplify]: Simplify (- 1) into -1 0.676 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.676 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0.676 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 1) into (cos (/ 1 phi1)) 0.676 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 0) into 0 0.676 * [backup-simplify]: Simplify (- 0) into 0 0.676 * [backup-simplify]: Simplify (+ (cos (/ 1 phi1)) 0) into (cos (/ 1 phi1)) 0.677 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 1) into (cos (/ 1 phi2)) 0.677 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 0) into 0 0.677 * [backup-simplify]: Simplify (- 0) into 0 0.677 * [backup-simplify]: Simplify (+ (cos (/ 1 phi2)) 0) into (cos (/ 1 phi2)) 0.677 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2)))) into (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2)))) 0.677 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) into (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) 0.677 * [backup-simplify]: Simplify (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) into (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) 0.678 * [backup-simplify]: Simplify (+ 0) into 0 0.678 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 1)) into 0 0.678 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 0.679 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.679 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 0)) into 0 0.679 * [backup-simplify]: Simplify (- 0) into 0 0.679 * [backup-simplify]: Simplify (+ 0 0) into 0 0.679 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 (cos (/ 1 phi1)))) into 0 0.680 * [backup-simplify]: Simplify (+ 0) into 0 0.680 * [backup-simplify]: Simplify (+ (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0) (* 0 1)) into 0 0.680 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0 0.680 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 0.680 * [backup-simplify]: Simplify (- 0) into 0 0.681 * [backup-simplify]: Simplify (+ 0 0) into 0 0.681 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.681 * [backup-simplify]: Simplify (+ (* (sin (- (/ 1 lambda1) (/ 1 lambda2))) 0) (* 0 0)) into 0 0.682 * [backup-simplify]: Simplify (- 0) into 0 0.682 * [backup-simplify]: Simplify (+ 0 0) into 0 0.682 * [backup-simplify]: Simplify (+ (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0) (* 0 (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) into 0 0.682 * [taylor]: Taking taylor expansion of 0 in phi2 0.682 * [backup-simplify]: Simplify 0 into 0 0.682 * [taylor]: Taking taylor expansion of 0 in lambda1 0.682 * [backup-simplify]: Simplify 0 into 0 0.682 * [taylor]: Taking taylor expansion of 0 in lambda2 0.682 * [backup-simplify]: Simplify 0 into 0 0.682 * [backup-simplify]: Simplify 0 into 0 0.682 * [backup-simplify]: Simplify (+ 0) into 0 0.683 * [backup-simplify]: Simplify (+ (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0) (* 0 1)) into 0 0.683 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0 0.683 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 0.683 * [backup-simplify]: Simplify (- 0) into 0 0.683 * [backup-simplify]: Simplify (+ 0 0) into 0 0.684 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.684 * [backup-simplify]: Simplify (+ (* (sin (- (/ 1 lambda1) (/ 1 lambda2))) 0) (* 0 0)) into 0 0.684 * [backup-simplify]: Simplify (- 0) into 0 0.685 * [backup-simplify]: Simplify (+ 0 0) into 0 0.685 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 (cos (- (/ 1 lambda1) (/ 1 lambda2))))) into 0 0.685 * [backup-simplify]: Simplify (+ 0) into 0 0.685 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 1)) into 0 0.685 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 0.686 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.686 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 0)) into 0 0.686 * [backup-simplify]: Simplify (- 0) into 0 0.687 * [backup-simplify]: Simplify (+ 0 0) into 0 0.687 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))) into 0 0.687 * [taylor]: Taking taylor expansion of 0 in lambda1 0.687 * [backup-simplify]: Simplify 0 into 0 0.687 * [taylor]: Taking taylor expansion of 0 in lambda2 0.687 * [backup-simplify]: Simplify 0 into 0 0.687 * [backup-simplify]: Simplify 0 into 0 0.687 * [backup-simplify]: Simplify (+ 0) into 0 0.688 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 1)) into 0 0.688 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 0.688 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.688 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 0)) into 0 0.689 * [backup-simplify]: Simplify (- 0) into 0 0.689 * [backup-simplify]: Simplify (+ 0 0) into 0 0.689 * [backup-simplify]: Simplify (+ 0) into 0 0.689 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 1)) into 0 0.689 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 0.690 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.690 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 0)) into 0 0.690 * [backup-simplify]: Simplify (- 0) into 0 0.691 * [backup-simplify]: Simplify (+ 0 0) into 0 0.691 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 (cos (/ 1 phi1)))) into 0 0.691 * [backup-simplify]: Simplify (+ (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0) (* 0 (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) into 0 0.691 * [taylor]: Taking taylor expansion of 0 in lambda2 0.691 * [backup-simplify]: Simplify 0 into 0 0.691 * [backup-simplify]: Simplify 0 into 0 0.691 * [backup-simplify]: Simplify (+ 0) into 0 0.692 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 1)) into 0 0.692 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 0.692 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.692 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 0)) into 0 0.693 * [backup-simplify]: Simplify (- 0) into 0 0.693 * [backup-simplify]: Simplify (+ 0 0) into 0 0.693 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 (cos (- (/ 1 lambda1) (/ 1 lambda2))))) into 0 0.693 * [backup-simplify]: Simplify (+ 0) into 0 0.694 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 1)) into 0 0.694 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 0.694 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.694 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 0)) into 0 0.695 * [backup-simplify]: Simplify (- 0) into 0 0.695 * [backup-simplify]: Simplify (+ 0 0) into 0 0.695 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))) into 0 0.695 * [backup-simplify]: Simplify 0 into 0 0.696 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.696 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 0.696 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 0.697 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.697 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 0.697 * [backup-simplify]: Simplify (- 0) into 0 0.697 * [backup-simplify]: Simplify (+ 0 0) into 0 0.698 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (cos (/ 1 phi1))))) into 0 0.701 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.702 * [backup-simplify]: Simplify (+ (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0) (+ (* 0 0) (* 0 1))) into 0 0.702 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 0.702 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 0.702 * [backup-simplify]: Simplify (- 0) into 0 0.702 * [backup-simplify]: Simplify (+ 0 0) into 0 0.703 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.703 * [backup-simplify]: Simplify (+ (* (sin (- (/ 1 lambda1) (/ 1 lambda2))) 0) (+ (* 0 0) (* 0 0))) into 0 0.703 * [backup-simplify]: Simplify (- 0) into 0 0.704 * [backup-simplify]: Simplify (+ 0 0) into 0 0.704 * [backup-simplify]: Simplify (+ (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0) (+ (* 0 0) (* 0 (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))) into 0 0.704 * [taylor]: Taking taylor expansion of 0 in phi2 0.704 * [backup-simplify]: Simplify 0 into 0 0.704 * [taylor]: Taking taylor expansion of 0 in lambda1 0.704 * [backup-simplify]: Simplify 0 into 0 0.704 * [taylor]: Taking taylor expansion of 0 in lambda2 0.704 * [backup-simplify]: Simplify 0 into 0 0.704 * [backup-simplify]: Simplify 0 into 0 0.704 * [taylor]: Taking taylor expansion of 0 in lambda1 0.704 * [backup-simplify]: Simplify 0 into 0 0.704 * [taylor]: Taking taylor expansion of 0 in lambda2 0.704 * [backup-simplify]: Simplify 0 into 0 0.704 * [backup-simplify]: Simplify 0 into 0 0.704 * [backup-simplify]: Simplify (* (cos (/ 1 (/ 1 phi1))) (* (cos (/ 1 (/ 1 phi2))) (cos (- (/ 1 (/ 1 lambda1)) (/ 1 (/ 1 lambda2)))))) into (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 0.705 * [backup-simplify]: Simplify (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2))))) into (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) 0.705 * [approximate]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in (phi1 phi2 lambda1 lambda2) around 0 0.705 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda2 0.705 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda2 0.705 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda2 0.705 * [taylor]: Taking taylor expansion of -1 in lambda2 0.705 * [backup-simplify]: Simplify -1 into -1 0.705 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.705 * [backup-simplify]: Simplify phi1 into phi1 0.705 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 0.705 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 0.705 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 0.705 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in lambda2 0.705 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda2 0.705 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda2 0.705 * [taylor]: Taking taylor expansion of -1 in lambda2 0.705 * [backup-simplify]: Simplify -1 into -1 0.705 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.705 * [backup-simplify]: Simplify phi2 into phi2 0.705 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 0.705 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 0.705 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 0.705 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.705 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.705 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.705 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.705 * [backup-simplify]: Simplify 0 into 0 0.705 * [backup-simplify]: Simplify 1 into 1 0.706 * [backup-simplify]: Simplify (/ 1 1) into 1 0.706 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.706 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.706 * [backup-simplify]: Simplify lambda1 into lambda1 0.706 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 0.706 * [backup-simplify]: Simplify (+ 1 0) into 1 0.706 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0.706 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda1 0.706 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda1 0.706 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda1 0.706 * [taylor]: Taking taylor expansion of -1 in lambda1 0.706 * [backup-simplify]: Simplify -1 into -1 0.706 * [taylor]: Taking taylor expansion of phi1 in lambda1 0.706 * [backup-simplify]: Simplify phi1 into phi1 0.706 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 0.706 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 0.706 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 0.706 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in lambda1 0.706 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda1 0.706 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda1 0.706 * [taylor]: Taking taylor expansion of -1 in lambda1 0.706 * [backup-simplify]: Simplify -1 into -1 0.706 * [taylor]: Taking taylor expansion of phi2 in lambda1 0.706 * [backup-simplify]: Simplify phi2 into phi2 0.706 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 0.706 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 0.707 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 0.707 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.707 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.707 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.707 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.707 * [backup-simplify]: Simplify lambda2 into lambda2 0.707 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 0.707 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.707 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.707 * [backup-simplify]: Simplify 0 into 0 0.707 * [backup-simplify]: Simplify 1 into 1 0.707 * [backup-simplify]: Simplify (/ 1 1) into 1 0.707 * [backup-simplify]: Simplify (- 1) into -1 0.707 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.708 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0.708 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in phi2 0.708 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi2 0.708 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.708 * [taylor]: Taking taylor expansion of -1 in phi2 0.708 * [backup-simplify]: Simplify -1 into -1 0.708 * [taylor]: Taking taylor expansion of phi1 in phi2 0.708 * [backup-simplify]: Simplify phi1 into phi1 0.708 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 0.708 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 0.708 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 0.708 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in phi2 0.708 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi2 0.708 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.708 * [taylor]: Taking taylor expansion of -1 in phi2 0.708 * [backup-simplify]: Simplify -1 into -1 0.708 * [taylor]: Taking taylor expansion of phi2 in phi2 0.708 * [backup-simplify]: Simplify 0 into 0 0.708 * [backup-simplify]: Simplify 1 into 1 0.708 * [backup-simplify]: Simplify (/ -1 1) into -1 0.708 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 0.708 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in phi2 0.708 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in phi2 0.708 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 0.708 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.708 * [backup-simplify]: Simplify lambda2 into lambda2 0.708 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 0.708 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 0.708 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.708 * [backup-simplify]: Simplify lambda1 into lambda1 0.708 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 0.709 * [backup-simplify]: Simplify (- (/ 1 lambda1)) into (- (/ 1 lambda1)) 0.709 * [backup-simplify]: Simplify (+ (/ 1 lambda2) (- (/ 1 lambda1))) into (- (/ 1 lambda2) (/ 1 lambda1)) 0.709 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0.709 * [backup-simplify]: Simplify (sin (- (/ 1 lambda2) (/ 1 lambda1))) into (sin (- (/ 1 lambda2) (/ 1 lambda1))) 0.709 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in phi1 0.709 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi1 0.709 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.709 * [taylor]: Taking taylor expansion of -1 in phi1 0.709 * [backup-simplify]: Simplify -1 into -1 0.709 * [taylor]: Taking taylor expansion of phi1 in phi1 0.709 * [backup-simplify]: Simplify 0 into 0 0.709 * [backup-simplify]: Simplify 1 into 1 0.709 * [backup-simplify]: Simplify (/ -1 1) into -1 0.709 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 0.709 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in phi1 0.709 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi1 0.709 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.709 * [taylor]: Taking taylor expansion of -1 in phi1 0.709 * [backup-simplify]: Simplify -1 into -1 0.709 * [taylor]: Taking taylor expansion of phi2 in phi1 0.709 * [backup-simplify]: Simplify phi2 into phi2 0.709 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 0.709 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 0.709 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 0.710 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in phi1 0.710 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in phi1 0.710 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 0.710 * [taylor]: Taking taylor expansion of lambda2 in phi1 0.710 * [backup-simplify]: Simplify lambda2 into lambda2 0.710 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 0.710 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 0.710 * [taylor]: Taking taylor expansion of lambda1 in phi1 0.710 * [backup-simplify]: Simplify lambda1 into lambda1 0.710 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 0.710 * [backup-simplify]: Simplify (- (/ 1 lambda1)) into (- (/ 1 lambda1)) 0.710 * [backup-simplify]: Simplify (+ (/ 1 lambda2) (- (/ 1 lambda1))) into (- (/ 1 lambda2) (/ 1 lambda1)) 0.710 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0.710 * [backup-simplify]: Simplify (sin (- (/ 1 lambda2) (/ 1 lambda1))) into (sin (- (/ 1 lambda2) (/ 1 lambda1))) 0.710 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in phi1 0.710 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi1 0.710 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.710 * [taylor]: Taking taylor expansion of -1 in phi1 0.710 * [backup-simplify]: Simplify -1 into -1 0.710 * [taylor]: Taking taylor expansion of phi1 in phi1 0.710 * [backup-simplify]: Simplify 0 into 0 0.710 * [backup-simplify]: Simplify 1 into 1 0.710 * [backup-simplify]: Simplify (/ -1 1) into -1 0.710 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 0.710 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in phi1 0.710 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi1 0.711 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.711 * [taylor]: Taking taylor expansion of -1 in phi1 0.711 * [backup-simplify]: Simplify -1 into -1 0.711 * [taylor]: Taking taylor expansion of phi2 in phi1 0.711 * [backup-simplify]: Simplify phi2 into phi2 0.711 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 0.711 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 0.711 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 0.711 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in phi1 0.711 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in phi1 0.711 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 0.711 * [taylor]: Taking taylor expansion of lambda2 in phi1 0.711 * [backup-simplify]: Simplify lambda2 into lambda2 0.711 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 0.711 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 0.711 * [taylor]: Taking taylor expansion of lambda1 in phi1 0.711 * [backup-simplify]: Simplify lambda1 into lambda1 0.711 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 0.711 * [backup-simplify]: Simplify (- (/ 1 lambda1)) into (- (/ 1 lambda1)) 0.711 * [backup-simplify]: Simplify (+ (/ 1 lambda2) (- (/ 1 lambda1))) into (- (/ 1 lambda2) (/ 1 lambda1)) 0.711 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0.711 * [backup-simplify]: Simplify (sin (- (/ 1 lambda2) (/ 1 lambda1))) into (sin (- (/ 1 lambda2) (/ 1 lambda1))) 0.711 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 1) into (cos (/ -1 phi2)) 0.711 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 0) into 0 0.712 * [backup-simplify]: Simplify (- 0) into 0 0.712 * [backup-simplify]: Simplify (+ (cos (/ -1 phi2)) 0) into (cos (/ -1 phi2)) 0.712 * [backup-simplify]: Simplify (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0.712 * [backup-simplify]: Simplify (* (sin (- (/ 1 lambda2) (/ 1 lambda1))) 0) into 0 0.712 * [backup-simplify]: Simplify (- 0) into 0 0.712 * [backup-simplify]: Simplify (+ (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0.712 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) into (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) 0.713 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) into (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) 0.713 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in phi2 0.713 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi2 0.713 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.713 * [taylor]: Taking taylor expansion of -1 in phi2 0.713 * [backup-simplify]: Simplify -1 into -1 0.713 * [taylor]: Taking taylor expansion of phi1 in phi2 0.713 * [backup-simplify]: Simplify phi1 into phi1 0.713 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 0.713 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 0.713 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 0.713 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in phi2 0.713 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi2 0.713 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.713 * [taylor]: Taking taylor expansion of -1 in phi2 0.713 * [backup-simplify]: Simplify -1 into -1 0.713 * [taylor]: Taking taylor expansion of phi2 in phi2 0.713 * [backup-simplify]: Simplify 0 into 0 0.713 * [backup-simplify]: Simplify 1 into 1 0.713 * [backup-simplify]: Simplify (/ -1 1) into -1 0.713 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 0.713 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in phi2 0.713 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in phi2 0.713 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 0.713 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.713 * [backup-simplify]: Simplify lambda2 into lambda2 0.713 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 0.713 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 0.713 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.713 * [backup-simplify]: Simplify lambda1 into lambda1 0.713 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 0.714 * [backup-simplify]: Simplify (- (/ 1 lambda1)) into (- (/ 1 lambda1)) 0.714 * [backup-simplify]: Simplify (+ (/ 1 lambda2) (- (/ 1 lambda1))) into (- (/ 1 lambda2) (/ 1 lambda1)) 0.714 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0.714 * [backup-simplify]: Simplify (sin (- (/ 1 lambda2) (/ 1 lambda1))) into (sin (- (/ 1 lambda2) (/ 1 lambda1))) 0.714 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 1) into (cos (/ -1 phi1)) 0.714 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 0) into 0 0.714 * [backup-simplify]: Simplify (- 0) into 0 0.714 * [backup-simplify]: Simplify (+ (cos (/ -1 phi1)) 0) into (cos (/ -1 phi1)) 0.714 * [backup-simplify]: Simplify (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0.714 * [backup-simplify]: Simplify (* (sin (- (/ 1 lambda2) (/ 1 lambda1))) 0) into 0 0.715 * [backup-simplify]: Simplify (- 0) into 0 0.715 * [backup-simplify]: Simplify (+ (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0.715 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) into (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) 0.715 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) into (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) 0.715 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda1 0.715 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda1 0.715 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda1 0.715 * [taylor]: Taking taylor expansion of -1 in lambda1 0.715 * [backup-simplify]: Simplify -1 into -1 0.715 * [taylor]: Taking taylor expansion of phi1 in lambda1 0.715 * [backup-simplify]: Simplify phi1 into phi1 0.715 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 0.716 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 0.716 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 0.716 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in lambda1 0.716 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda1 0.716 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda1 0.716 * [taylor]: Taking taylor expansion of -1 in lambda1 0.716 * [backup-simplify]: Simplify -1 into -1 0.716 * [taylor]: Taking taylor expansion of phi2 in lambda1 0.716 * [backup-simplify]: Simplify phi2 into phi2 0.716 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 0.716 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 0.716 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 0.716 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.716 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.716 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.716 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.716 * [backup-simplify]: Simplify lambda2 into lambda2 0.716 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 0.716 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.716 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.716 * [backup-simplify]: Simplify 0 into 0 0.716 * [backup-simplify]: Simplify 1 into 1 0.716 * [backup-simplify]: Simplify (/ 1 1) into 1 0.717 * [backup-simplify]: Simplify (- 1) into -1 0.717 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.717 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0.717 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 1) into (cos (/ -1 phi1)) 0.717 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 0) into 0 0.717 * [backup-simplify]: Simplify (- 0) into 0 0.717 * [backup-simplify]: Simplify (+ (cos (/ -1 phi1)) 0) into (cos (/ -1 phi1)) 0.717 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 1) into (cos (/ -1 phi2)) 0.717 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 0) into 0 0.718 * [backup-simplify]: Simplify (- 0) into 0 0.718 * [backup-simplify]: Simplify (+ (cos (/ -1 phi2)) 0) into (cos (/ -1 phi2)) 0.718 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) into (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) 0.718 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) into (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) 0.718 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda2 0.718 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda2 0.718 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda2 0.718 * [taylor]: Taking taylor expansion of -1 in lambda2 0.718 * [backup-simplify]: Simplify -1 into -1 0.718 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.718 * [backup-simplify]: Simplify phi1 into phi1 0.718 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 0.718 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 0.718 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 0.718 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in lambda2 0.718 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda2 0.718 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda2 0.718 * [taylor]: Taking taylor expansion of -1 in lambda2 0.718 * [backup-simplify]: Simplify -1 into -1 0.718 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.718 * [backup-simplify]: Simplify phi2 into phi2 0.718 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 0.719 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 0.719 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 0.719 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.719 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.719 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.719 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.719 * [backup-simplify]: Simplify 0 into 0 0.719 * [backup-simplify]: Simplify 1 into 1 0.719 * [backup-simplify]: Simplify (/ 1 1) into 1 0.719 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.719 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.719 * [backup-simplify]: Simplify lambda1 into lambda1 0.719 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 0.719 * [backup-simplify]: Simplify (+ 1 0) into 1 0.719 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0.719 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 1) into (cos (/ -1 phi1)) 0.720 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 0) into 0 0.720 * [backup-simplify]: Simplify (- 0) into 0 0.720 * [backup-simplify]: Simplify (+ (cos (/ -1 phi1)) 0) into (cos (/ -1 phi1)) 0.720 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 1) into (cos (/ -1 phi2)) 0.720 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 0) into 0 0.720 * [backup-simplify]: Simplify (- 0) into 0 0.720 * [backup-simplify]: Simplify (+ (cos (/ -1 phi2)) 0) into (cos (/ -1 phi2)) 0.720 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) into (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) 0.721 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) into (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) 0.721 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) into (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) 0.721 * [backup-simplify]: Simplify (+ 0) into 0 0.721 * [backup-simplify]: Simplify (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0) (* 0 1)) into 0 0.722 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 0.722 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0 0.722 * [backup-simplify]: Simplify (- 0) into 0 0.722 * [backup-simplify]: Simplify (+ 0 0) into 0 0.723 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.723 * [backup-simplify]: Simplify (+ (* (sin (- (/ 1 lambda2) (/ 1 lambda1))) 0) (* 0 0)) into 0 0.723 * [backup-simplify]: Simplify (- 0) into 0 0.724 * [backup-simplify]: Simplify (+ 0 0) into 0 0.724 * [backup-simplify]: Simplify (+ 0) into 0 0.724 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 1)) into 0 0.724 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0 0.725 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.725 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 0)) into 0 0.725 * [backup-simplify]: Simplify (- 0) into 0 0.725 * [backup-simplify]: Simplify (+ 0 0) into 0 0.726 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 (cos (- (/ 1 lambda2) (/ 1 lambda1))))) into 0 0.726 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))) into 0 0.726 * [taylor]: Taking taylor expansion of 0 in phi2 0.726 * [backup-simplify]: Simplify 0 into 0 0.726 * [taylor]: Taking taylor expansion of 0 in lambda1 0.726 * [backup-simplify]: Simplify 0 into 0 0.726 * [taylor]: Taking taylor expansion of 0 in lambda2 0.726 * [backup-simplify]: Simplify 0 into 0 0.726 * [backup-simplify]: Simplify 0 into 0 0.726 * [backup-simplify]: Simplify (+ 0) into 0 0.726 * [backup-simplify]: Simplify (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0) (* 0 1)) into 0 0.727 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 0.727 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0 0.727 * [backup-simplify]: Simplify (- 0) into 0 0.727 * [backup-simplify]: Simplify (+ 0 0) into 0 0.728 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.728 * [backup-simplify]: Simplify (+ (* (sin (- (/ 1 lambda2) (/ 1 lambda1))) 0) (* 0 0)) into 0 0.728 * [backup-simplify]: Simplify (- 0) into 0 0.728 * [backup-simplify]: Simplify (+ 0 0) into 0 0.729 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 (cos (- (/ 1 lambda2) (/ 1 lambda1))))) into 0 0.729 * [backup-simplify]: Simplify (+ 0) into 0 0.729 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 1)) into 0 0.729 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0 0.730 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.730 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 0)) into 0 0.730 * [backup-simplify]: Simplify (- 0) into 0 0.730 * [backup-simplify]: Simplify (+ 0 0) into 0 0.731 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))) into 0 0.731 * [taylor]: Taking taylor expansion of 0 in lambda1 0.731 * [backup-simplify]: Simplify 0 into 0 0.731 * [taylor]: Taking taylor expansion of 0 in lambda2 0.731 * [backup-simplify]: Simplify 0 into 0 0.731 * [backup-simplify]: Simplify 0 into 0 0.731 * [backup-simplify]: Simplify (+ 0) into 0 0.731 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 1)) into 0 0.731 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0 0.732 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.732 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 0)) into 0 0.732 * [backup-simplify]: Simplify (- 0) into 0 0.733 * [backup-simplify]: Simplify (+ 0 0) into 0 0.733 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 (cos (- (/ 1 lambda2) (/ 1 lambda1))))) into 0 0.733 * [backup-simplify]: Simplify (+ 0) into 0 0.733 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 1)) into 0 0.733 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0 0.734 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.734 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 0)) into 0 0.734 * [backup-simplify]: Simplify (- 0) into 0 0.735 * [backup-simplify]: Simplify (+ 0 0) into 0 0.735 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))) into 0 0.735 * [taylor]: Taking taylor expansion of 0 in lambda2 0.735 * [backup-simplify]: Simplify 0 into 0 0.735 * [backup-simplify]: Simplify 0 into 0 0.735 * [backup-simplify]: Simplify (+ 0) into 0 0.735 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 1)) into 0 0.736 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0 0.736 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.736 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 0)) into 0 0.737 * [backup-simplify]: Simplify (- 0) into 0 0.737 * [backup-simplify]: Simplify (+ 0 0) into 0 0.737 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 (cos (- (/ 1 lambda2) (/ 1 lambda1))))) into 0 0.737 * [backup-simplify]: Simplify (+ 0) into 0 0.737 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 1)) into 0 0.738 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0 0.738 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.738 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 0)) into 0 0.739 * [backup-simplify]: Simplify (- 0) into 0 0.739 * [backup-simplify]: Simplify (+ 0 0) into 0 0.739 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))) into 0 0.739 * [backup-simplify]: Simplify 0 into 0 0.740 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.740 * [backup-simplify]: Simplify (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0) (+ (* 0 0) (* 0 1))) into 0 0.740 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 0.740 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 0.740 * [backup-simplify]: Simplify (- 0) into 0 0.741 * [backup-simplify]: Simplify (+ 0 0) into 0 0.741 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.742 * [backup-simplify]: Simplify (+ (* (sin (- (/ 1 lambda2) (/ 1 lambda1))) 0) (+ (* 0 0) (* 0 0))) into 0 0.742 * [backup-simplify]: Simplify (- 0) into 0 0.742 * [backup-simplify]: Simplify (+ 0 0) into 0 0.742 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.743 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 0.743 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 0.743 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.744 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 0.744 * [backup-simplify]: Simplify (- 0) into 0 0.744 * [backup-simplify]: Simplify (+ 0 0) into 0 0.745 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 (cos (- (/ 1 lambda2) (/ 1 lambda1)))))) into 0 0.745 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into 0 0.745 * [taylor]: Taking taylor expansion of 0 in phi2 0.745 * [backup-simplify]: Simplify 0 into 0 0.745 * [taylor]: Taking taylor expansion of 0 in lambda1 0.745 * [backup-simplify]: Simplify 0 into 0 0.745 * [taylor]: Taking taylor expansion of 0 in lambda2 0.745 * [backup-simplify]: Simplify 0 into 0 0.745 * [backup-simplify]: Simplify 0 into 0 0.745 * [taylor]: Taking taylor expansion of 0 in lambda1 0.745 * [backup-simplify]: Simplify 0 into 0 0.745 * [taylor]: Taking taylor expansion of 0 in lambda2 0.745 * [backup-simplify]: Simplify 0 into 0 0.745 * [backup-simplify]: Simplify 0 into 0 0.746 * [backup-simplify]: Simplify (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (- (/ 1 (/ 1 (- lambda2))) (/ 1 (/ 1 (- lambda1))))))) into (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 0.746 * * * [progress]: simplifying candidates 0.747 * [simplify]: Simplifying: (* (cos lambda1) (cos (- lambda2))) (* (sin lambda1) (sin (- lambda2))) (* (cos lambda1) (cos (- lambda2))) (* (sin lambda1) (sin (- lambda2))) (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)) (log (cos (- lambda1 lambda2))) (exp (cos (- lambda1 lambda2))) (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2)))) (cbrt (cos (- lambda1 lambda2))) (* (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (log R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (* R R) R)) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) 1) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))) (+ (+ (log (cos phi1)) (log (cos phi2))) (log (cos (- lambda1 lambda2)))) (+ (log (* (cos phi1) (cos phi2))) (log (cos (- lambda1 lambda2)))) (log (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (exp (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (* (* (* (* (cos phi1) (cos phi1)) (cos phi1)) (* (* (cos phi2) (cos phi2)) (cos phi2))) (* (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2)))) (* (* (* (* (cos phi1) (cos phi2)) (* (cos phi1) (cos phi2))) (* (cos phi1) (cos phi2))) (* (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2)))) (* (cbrt (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (cbrt (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (cbrt (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (* (* (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (sqrt (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (sqrt (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))) (* (* (cos phi1) (cos phi2)) (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2))))) (* (* (cos phi1) (cos phi2)) (sqrt (cos (- lambda1 lambda2)))) (* (* (cos phi1) (cos phi2)) 1) (* (cos phi2) (cos (- lambda1 lambda2))) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (cos (- lambda1 lambda2))) (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2))) (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2)) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (- 1 (+ (* 1/2 (pow phi1 2)) (* 1/2 (pow phi2 2)))) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 0.747 * [simplify]: Sending expressions to egg_math: (* (cos h1) (cos (- h0))) (* (sin h1) (sin (- h0))) (* (cos h1) (cos (- h0))) (* (sin h1) (sin (- h0))) (* (cos h1) (cos h0)) (* (sin h1) (sin h0)) (log (cos (- h1 h0))) (exp (cos (- h1 h0))) (* (cbrt (cos (- h1 h0))) (cbrt (cos (- h1 h0)))) (cbrt (cos (- h1 h0))) (* (* (cos (- h1 h0)) (cos (- h1 h0))) (cos (- h1 h0))) (sqrt (cos (- h1 h0))) (sqrt (cos (- h1 h0))) (/ h2 2) (asin (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (cos (- h1 h0))))) (log (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (cos (- h1 h0)))))) (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (cos (- h1 h0)))))) (* (cbrt (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (cos (- h1 h0)))))) (cbrt (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (cos (- h1 h0))))))) (cbrt (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (cos (- h1 h0)))))) (* (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (cos (- h1 h0))))) (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (cos (- h1 h0)))))) (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (cos (- h1 h0)))))) (sqrt (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (cos (- h1 h0)))))) (sqrt (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (cos (- h1 h0)))))) (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (cos (- h1 h0))))) h5) (+ (log (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (cos (- h1 h0)))))) (log h5)) (log (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (cos (- h1 h0))))) h5)) (exp (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (cos (- h1 h0))))) h5)) (* (* (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (cos (- h1 h0))))) (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (cos (- h1 h0)))))) (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (cos (- h1 h0)))))) (* (* h5 h5) h5)) (* (cbrt (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (cos (- h1 h0))))) h5)) (cbrt (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (cos (- h1 h0))))) h5))) (cbrt (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (cos (- h1 h0))))) h5)) (* (* (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (cos (- h1 h0))))) h5) (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (cos (- h1 h0))))) h5)) (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (cos (- h1 h0))))) h5)) (sqrt (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (cos (- h1 h0))))) h5)) (sqrt (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (cos (- h1 h0))))) h5)) (* (sqrt (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (cos (- h1 h0)))))) (sqrt h5)) (* (sqrt (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (cos (- h1 h0)))))) (sqrt h5)) (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (cos (- h1 h0))))) (* (cbrt h5) (cbrt h5))) (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (cos (- h1 h0))))) (sqrt h5)) (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (cos (- h1 h0))))) 1) (* (cbrt (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (cos (- h1 h0)))))) h5) (* (sqrt (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (cos (- h1 h0)))))) h5) (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (cos (- h1 h0))))) h5) (* (* (cos h4) (cos h3)) (cos (- h1 h0))) (* (* (cos h4) (cos h3)) (cos (- h1 h0))) (+ (+ (log (cos h4)) (log (cos h3))) (log (cos (- h1 h0)))) (+ (log (* (cos h4) (cos h3))) (log (cos (- h1 h0)))) (log (* (* (cos h4) (cos h3)) (cos (- h1 h0)))) (exp (* (* (cos h4) (cos h3)) (cos (- h1 h0)))) (* (* (* (* (cos h4) (cos h4)) (cos h4)) (* (* (cos h3) (cos h3)) (cos h3))) (* (* (cos (- h1 h0)) (cos (- h1 h0))) (cos (- h1 h0)))) (* (* (* (* (cos h4) (cos h3)) (* (cos h4) (cos h3))) (* (cos h4) (cos h3))) (* (* (cos (- h1 h0)) (cos (- h1 h0))) (cos (- h1 h0)))) (* (cbrt (* (* (cos h4) (cos h3)) (cos (- h1 h0)))) (cbrt (* (* (cos h4) (cos h3)) (cos (- h1 h0))))) (cbrt (* (* (cos h4) (cos h3)) (cos (- h1 h0)))) (* (* (* (* (cos h4) (cos h3)) (cos (- h1 h0))) (* (* (cos h4) (cos h3)) (cos (- h1 h0)))) (* (* (cos h4) (cos h3)) (cos (- h1 h0)))) (sqrt (* (* (cos h4) (cos h3)) (cos (- h1 h0)))) (sqrt (* (* (cos h4) (cos h3)) (cos (- h1 h0)))) (* (* (cos h4) (cos h3)) (* (cos h1) (cos h0))) (* (* (cos h4) (cos h3)) (* (sin h1) (sin h0))) (* (* (cos h1) (cos h0)) (* (cos h4) (cos h3))) (* (* (sin h1) (sin h0)) (* (cos h4) (cos h3))) (* (* (cos h4) (cos h3)) (* (cbrt (cos (- h1 h0))) (cbrt (cos (- h1 h0))))) (* (* (cos h4) (cos h3)) (sqrt (cos (- h1 h0)))) (* (* (cos h4) (cos h3)) 1) (* (cos h3) (cos (- h1 h0))) (* (+ (cos (+ h4 h3)) (cos (- h4 h3))) (cos (- h1 h0))) (- (+ 1 (* h0 h1)) (* 1/2 (pow h1 2))) (cos (- h1 h0)) (cos (- h1 h0)) (acos (+ (* (sin h4) (sin h3)) (* (cos h4) (* (cos (- h1 h0)) (cos h3))))) (acos (+ (* (sin h4) (sin h3)) (* (cos h4) (* (cos (- h1 h0)) (cos h3))))) (acos (+ (* (sin h4) (sin h3)) (* (cos h4) (* (cos (- h1 h0)) (cos h3))))) (* (acos (+ (* (sin h4) (sin h3)) (* (cos h4) (* (cos (- h1 h0)) (cos h3))))) h5) (* (acos (+ (* (sin h4) (sin h3)) (* (cos h4) (* (cos (- h1 h0)) (cos h3))))) h5) (* (acos (+ (* (sin h4) (sin h3)) (* (cos h4) (* (cos (- h1 h0)) (cos h3))))) h5) (- 1 (+ (* 1/2 (pow h4 2)) (* 1/2 (pow h3 2)))) (* (cos h4) (* (cos (- h1 h0)) (cos h3))) (* (cos h4) (* (cos (- h1 h0)) (cos h3))) 0.845 * * * [progress]: adding candidates to table 1.094 * * [progress]: iteration 2 / 4 1.095 * * * [progress]: picking best candidate 1.158 * * * * [pick]: Picked # 1.158 * * * [progress]: localizing error 1.195 * * * [progress]: generating rewritten candidates 1.195 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.197 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 1.212 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 2 2) 1.229 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 1.244 * * * [progress]: generating series expansions 1.244 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.244 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 1.244 * [approximate]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.244 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda2 1.245 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 1.245 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda1 1.245 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 1.245 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi2 1.246 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 1.246 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi1 1.246 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 1.246 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi1 1.246 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 1.247 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi2 1.247 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 1.247 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda1 1.247 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 1.247 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda2 1.248 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 1.248 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 1.248 * [taylor]: Taking taylor expansion of 0 in phi2 1.248 * [backup-simplify]: Simplify 0 into 0 1.248 * [taylor]: Taking taylor expansion of 0 in lambda1 1.248 * [backup-simplify]: Simplify 0 into 0 1.248 * [taylor]: Taking taylor expansion of 0 in lambda2 1.248 * [backup-simplify]: Simplify 0 into 0 1.248 * [backup-simplify]: Simplify 0 into 0 1.248 * [taylor]: Taking taylor expansion of 0 in lambda1 1.248 * [backup-simplify]: Simplify 0 into 0 1.248 * [taylor]: Taking taylor expansion of 0 in lambda2 1.248 * [backup-simplify]: Simplify 0 into 0 1.248 * [backup-simplify]: Simplify 0 into 0 1.248 * [taylor]: Taking taylor expansion of 0 in lambda2 1.248 * [backup-simplify]: Simplify 0 into 0 1.248 * [backup-simplify]: Simplify 0 into 0 1.248 * [backup-simplify]: Simplify 0 into 0 1.248 * [taylor]: Taking taylor expansion of 0 in phi2 1.248 * [backup-simplify]: Simplify 0 into 0 1.249 * [taylor]: Taking taylor expansion of 0 in lambda1 1.249 * [backup-simplify]: Simplify 0 into 0 1.249 * [taylor]: Taking taylor expansion of 0 in lambda2 1.249 * [backup-simplify]: Simplify 0 into 0 1.249 * [backup-simplify]: Simplify 0 into 0 1.249 * [taylor]: Taking taylor expansion of 0 in lambda1 1.249 * [backup-simplify]: Simplify 0 into 0 1.249 * [taylor]: Taking taylor expansion of 0 in lambda2 1.249 * [backup-simplify]: Simplify 0 into 0 1.249 * [backup-simplify]: Simplify 0 into 0 1.249 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 1.249 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.250 * [approximate]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.250 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 1.250 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.250 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 1.251 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.251 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 1.251 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.251 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 1.252 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.252 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 1.252 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.252 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 1.253 * [backup-simplify]: Simplify (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.253 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 1.253 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.253 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 1.254 * [backup-simplify]: Simplify (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.255 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.255 * [taylor]: Taking taylor expansion of 0 in phi2 1.255 * [backup-simplify]: Simplify 0 into 0 1.255 * [taylor]: Taking taylor expansion of 0 in lambda1 1.255 * [backup-simplify]: Simplify 0 into 0 1.255 * [taylor]: Taking taylor expansion of 0 in lambda2 1.255 * [backup-simplify]: Simplify 0 into 0 1.255 * [backup-simplify]: Simplify 0 into 0 1.255 * [taylor]: Taking taylor expansion of 0 in lambda1 1.255 * [backup-simplify]: Simplify 0 into 0 1.255 * [taylor]: Taking taylor expansion of 0 in lambda2 1.255 * [backup-simplify]: Simplify 0 into 0 1.255 * [backup-simplify]: Simplify 0 into 0 1.255 * [taylor]: Taking taylor expansion of 0 in lambda2 1.255 * [backup-simplify]: Simplify 0 into 0 1.255 * [backup-simplify]: Simplify 0 into 0 1.255 * [backup-simplify]: Simplify 0 into 0 1.255 * [taylor]: Taking taylor expansion of 0 in phi2 1.255 * [backup-simplify]: Simplify 0 into 0 1.255 * [taylor]: Taking taylor expansion of 0 in lambda1 1.255 * [backup-simplify]: Simplify 0 into 0 1.255 * [taylor]: Taking taylor expansion of 0 in lambda2 1.255 * [backup-simplify]: Simplify 0 into 0 1.255 * [backup-simplify]: Simplify 0 into 0 1.255 * [taylor]: Taking taylor expansion of 0 in lambda1 1.255 * [backup-simplify]: Simplify 0 into 0 1.255 * [taylor]: Taking taylor expansion of 0 in lambda2 1.255 * [backup-simplify]: Simplify 0 into 0 1.255 * [backup-simplify]: Simplify 0 into 0 1.256 * [backup-simplify]: Simplify (acos (- (+ (* (sin (/ 1 (/ 1 phi1))) (sin (/ 1 (/ 1 phi2)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi1))) (cos (/ 1 (/ 1 lambda1))))))) (* (sin (/ 1 (/ 1 lambda1))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 phi1))) (sin (- (/ 1 (/ 1 lambda2))))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 1.256 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.256 * [approximate]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.256 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 1.257 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.257 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 1.257 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.258 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 1.258 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.258 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 1.259 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.259 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 1.259 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.259 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 1.260 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.260 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 1.260 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.260 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 1.261 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.261 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.261 * [taylor]: Taking taylor expansion of 0 in phi2 1.261 * [backup-simplify]: Simplify 0 into 0 1.261 * [taylor]: Taking taylor expansion of 0 in lambda1 1.261 * [backup-simplify]: Simplify 0 into 0 1.261 * [taylor]: Taking taylor expansion of 0 in lambda2 1.261 * [backup-simplify]: Simplify 0 into 0 1.262 * [backup-simplify]: Simplify 0 into 0 1.262 * [taylor]: Taking taylor expansion of 0 in lambda1 1.262 * [backup-simplify]: Simplify 0 into 0 1.262 * [taylor]: Taking taylor expansion of 0 in lambda2 1.262 * [backup-simplify]: Simplify 0 into 0 1.262 * [backup-simplify]: Simplify 0 into 0 1.262 * [taylor]: Taking taylor expansion of 0 in lambda2 1.262 * [backup-simplify]: Simplify 0 into 0 1.262 * [backup-simplify]: Simplify 0 into 0 1.262 * [backup-simplify]: Simplify 0 into 0 1.262 * [taylor]: Taking taylor expansion of 0 in phi2 1.262 * [backup-simplify]: Simplify 0 into 0 1.262 * [taylor]: Taking taylor expansion of 0 in lambda1 1.262 * [backup-simplify]: Simplify 0 into 0 1.262 * [taylor]: Taking taylor expansion of 0 in lambda2 1.262 * [backup-simplify]: Simplify 0 into 0 1.262 * [backup-simplify]: Simplify 0 into 0 1.262 * [taylor]: Taking taylor expansion of 0 in lambda1 1.262 * [backup-simplify]: Simplify 0 into 0 1.262 * [taylor]: Taking taylor expansion of 0 in lambda2 1.262 * [backup-simplify]: Simplify 0 into 0 1.262 * [backup-simplify]: Simplify 0 into 0 1.263 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2))))))) (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2)))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (sin (/ 1 (/ 1 (- lambda2)))) (cos (/ -1 (/ 1 (- phi2))))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) 1.263 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.263 * [backup-simplify]: Simplify (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) into (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) 1.263 * [approximate]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 1.263 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in R 1.263 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in R 1.263 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 1.264 * [taylor]: Taking taylor expansion of R in R 1.264 * [backup-simplify]: Simplify 0 into 0 1.264 * [backup-simplify]: Simplify 1 into 1 1.264 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in lambda2 1.264 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda2 1.264 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 1.264 * [taylor]: Taking taylor expansion of R in lambda2 1.264 * [backup-simplify]: Simplify R into R 1.264 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in lambda1 1.264 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda1 1.264 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 1.264 * [taylor]: Taking taylor expansion of R in lambda1 1.264 * [backup-simplify]: Simplify R into R 1.264 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in phi2 1.265 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi2 1.265 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 1.265 * [taylor]: Taking taylor expansion of R in phi2 1.265 * [backup-simplify]: Simplify R into R 1.265 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in phi1 1.265 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi1 1.265 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 1.265 * [taylor]: Taking taylor expansion of R in phi1 1.265 * [backup-simplify]: Simplify R into R 1.265 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in phi1 1.265 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi1 1.266 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 1.266 * [taylor]: Taking taylor expansion of R in phi1 1.266 * [backup-simplify]: Simplify R into R 1.266 * [backup-simplify]: Simplify (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) into (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) 1.266 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in phi2 1.266 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi2 1.267 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 1.267 * [taylor]: Taking taylor expansion of R in phi2 1.267 * [backup-simplify]: Simplify R into R 1.267 * [backup-simplify]: Simplify (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) into (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) 1.267 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in lambda1 1.267 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda1 1.268 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 1.268 * [taylor]: Taking taylor expansion of R in lambda1 1.268 * [backup-simplify]: Simplify R into R 1.268 * [backup-simplify]: Simplify (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) into (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) 1.268 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in lambda2 1.268 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda2 1.268 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 1.268 * [taylor]: Taking taylor expansion of R in lambda2 1.268 * [backup-simplify]: Simplify R into R 1.269 * [backup-simplify]: Simplify (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) into (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) 1.269 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in R 1.269 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in R 1.269 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 1.269 * [taylor]: Taking taylor expansion of R in R 1.269 * [backup-simplify]: Simplify 0 into 0 1.269 * [backup-simplify]: Simplify 1 into 1 1.270 * [backup-simplify]: Simplify (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 0) into 0 1.270 * [backup-simplify]: Simplify 0 into 0 1.270 * [backup-simplify]: Simplify (+ (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 0) (* 0 R)) into 0 1.270 * [taylor]: Taking taylor expansion of 0 in phi2 1.270 * [backup-simplify]: Simplify 0 into 0 1.270 * [taylor]: Taking taylor expansion of 0 in lambda1 1.270 * [backup-simplify]: Simplify 0 into 0 1.270 * [taylor]: Taking taylor expansion of 0 in lambda2 1.270 * [backup-simplify]: Simplify 0 into 0 1.270 * [taylor]: Taking taylor expansion of 0 in R 1.270 * [backup-simplify]: Simplify 0 into 0 1.270 * [backup-simplify]: Simplify 0 into 0 1.271 * [backup-simplify]: Simplify (+ (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 0) (* 0 R)) into 0 1.271 * [taylor]: Taking taylor expansion of 0 in lambda1 1.271 * [backup-simplify]: Simplify 0 into 0 1.271 * [taylor]: Taking taylor expansion of 0 in lambda2 1.271 * [backup-simplify]: Simplify 0 into 0 1.271 * [taylor]: Taking taylor expansion of 0 in R 1.271 * [backup-simplify]: Simplify 0 into 0 1.271 * [backup-simplify]: Simplify 0 into 0 1.271 * [backup-simplify]: Simplify (+ (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 0) (* 0 R)) into 0 1.271 * [taylor]: Taking taylor expansion of 0 in lambda2 1.271 * [backup-simplify]: Simplify 0 into 0 1.271 * [taylor]: Taking taylor expansion of 0 in R 1.271 * [backup-simplify]: Simplify 0 into 0 1.271 * [backup-simplify]: Simplify 0 into 0 1.272 * [backup-simplify]: Simplify (+ (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 0) (* 0 R)) into 0 1.272 * [taylor]: Taking taylor expansion of 0 in R 1.272 * [backup-simplify]: Simplify 0 into 0 1.272 * [backup-simplify]: Simplify 0 into 0 1.273 * [backup-simplify]: Simplify (+ (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 1) (* 0 0)) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 1.273 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 1.274 * [backup-simplify]: Simplify (+ (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 0) (+ (* 0 0) (* 0 R))) into 0 1.274 * [taylor]: Taking taylor expansion of 0 in phi2 1.274 * [backup-simplify]: Simplify 0 into 0 1.274 * [taylor]: Taking taylor expansion of 0 in lambda1 1.274 * [backup-simplify]: Simplify 0 into 0 1.274 * [taylor]: Taking taylor expansion of 0 in lambda2 1.274 * [backup-simplify]: Simplify 0 into 0 1.274 * [taylor]: Taking taylor expansion of 0 in R 1.274 * [backup-simplify]: Simplify 0 into 0 1.274 * [backup-simplify]: Simplify 0 into 0 1.274 * [taylor]: Taking taylor expansion of 0 in lambda1 1.274 * [backup-simplify]: Simplify 0 into 0 1.274 * [taylor]: Taking taylor expansion of 0 in lambda2 1.274 * [backup-simplify]: Simplify 0 into 0 1.274 * [taylor]: Taking taylor expansion of 0 in R 1.274 * [backup-simplify]: Simplify 0 into 0 1.274 * [backup-simplify]: Simplify 0 into 0 1.275 * [backup-simplify]: Simplify (+ (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 0) (+ (* 0 0) (* 0 R))) into 0 1.275 * [taylor]: Taking taylor expansion of 0 in lambda1 1.275 * [backup-simplify]: Simplify 0 into 0 1.275 * [taylor]: Taking taylor expansion of 0 in lambda2 1.275 * [backup-simplify]: Simplify 0 into 0 1.275 * [taylor]: Taking taylor expansion of 0 in R 1.275 * [backup-simplify]: Simplify 0 into 0 1.275 * [backup-simplify]: Simplify 0 into 0 1.275 * [taylor]: Taking taylor expansion of 0 in lambda2 1.275 * [backup-simplify]: Simplify 0 into 0 1.275 * [taylor]: Taking taylor expansion of 0 in R 1.275 * [backup-simplify]: Simplify 0 into 0 1.275 * [backup-simplify]: Simplify 0 into 0 1.275 * [taylor]: Taking taylor expansion of 0 in lambda2 1.275 * [backup-simplify]: Simplify 0 into 0 1.275 * [taylor]: Taking taylor expansion of 0 in R 1.275 * [backup-simplify]: Simplify 0 into 0 1.275 * [backup-simplify]: Simplify 0 into 0 1.276 * [backup-simplify]: Simplify (+ (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 0) (+ (* 0 0) (* 0 R))) into 0 1.276 * [taylor]: Taking taylor expansion of 0 in lambda2 1.276 * [backup-simplify]: Simplify 0 into 0 1.276 * [taylor]: Taking taylor expansion of 0 in R 1.276 * [backup-simplify]: Simplify 0 into 0 1.276 * [backup-simplify]: Simplify 0 into 0 1.277 * [backup-simplify]: Simplify (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) (* R (* 1 (* 1 (* 1 1))))) into (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) 1.277 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))) (/ 1 R)) into (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) 1.277 * [approximate]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 1.277 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in R 1.277 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in R 1.278 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.278 * [taylor]: Taking taylor expansion of R in R 1.278 * [backup-simplify]: Simplify 0 into 0 1.278 * [backup-simplify]: Simplify 1 into 1 1.279 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1) into (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.279 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in lambda2 1.281 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 1.282 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.282 * [taylor]: Taking taylor expansion of R in lambda2 1.282 * [backup-simplify]: Simplify R into R 1.282 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) into (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) 1.282 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in lambda1 1.283 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 1.283 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.283 * [taylor]: Taking taylor expansion of R in lambda1 1.283 * [backup-simplify]: Simplify R into R 1.284 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) into (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) 1.284 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in phi2 1.284 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 1.284 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.284 * [taylor]: Taking taylor expansion of R in phi2 1.284 * [backup-simplify]: Simplify R into R 1.285 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) into (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) 1.285 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in phi1 1.285 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 1.285 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.285 * [taylor]: Taking taylor expansion of R in phi1 1.285 * [backup-simplify]: Simplify R into R 1.286 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) into (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) 1.286 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in phi1 1.286 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 1.287 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.287 * [taylor]: Taking taylor expansion of R in phi1 1.287 * [backup-simplify]: Simplify R into R 1.287 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) into (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) 1.287 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in phi2 1.287 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 1.288 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.288 * [taylor]: Taking taylor expansion of R in phi2 1.288 * [backup-simplify]: Simplify R into R 1.288 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) into (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) 1.288 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in lambda1 1.288 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 1.289 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.289 * [taylor]: Taking taylor expansion of R in lambda1 1.289 * [backup-simplify]: Simplify R into R 1.290 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) into (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) 1.290 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in lambda2 1.290 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 1.290 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.290 * [taylor]: Taking taylor expansion of R in lambda2 1.290 * [backup-simplify]: Simplify R into R 1.291 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) into (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) 1.291 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in R 1.291 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in R 1.291 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.291 * [taylor]: Taking taylor expansion of R in R 1.291 * [backup-simplify]: Simplify 0 into 0 1.291 * [backup-simplify]: Simplify 1 into 1 1.292 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1) into (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.292 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.293 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) (/ 0 R)))) into 0 1.293 * [taylor]: Taking taylor expansion of 0 in phi2 1.293 * [backup-simplify]: Simplify 0 into 0 1.293 * [taylor]: Taking taylor expansion of 0 in lambda1 1.293 * [backup-simplify]: Simplify 0 into 0 1.293 * [taylor]: Taking taylor expansion of 0 in lambda2 1.293 * [backup-simplify]: Simplify 0 into 0 1.293 * [taylor]: Taking taylor expansion of 0 in R 1.293 * [backup-simplify]: Simplify 0 into 0 1.294 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) (/ 0 R)))) into 0 1.294 * [taylor]: Taking taylor expansion of 0 in lambda1 1.294 * [backup-simplify]: Simplify 0 into 0 1.294 * [taylor]: Taking taylor expansion of 0 in lambda2 1.294 * [backup-simplify]: Simplify 0 into 0 1.294 * [taylor]: Taking taylor expansion of 0 in R 1.294 * [backup-simplify]: Simplify 0 into 0 1.295 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) (/ 0 R)))) into 0 1.295 * [taylor]: Taking taylor expansion of 0 in lambda2 1.295 * [backup-simplify]: Simplify 0 into 0 1.295 * [taylor]: Taking taylor expansion of 0 in R 1.295 * [backup-simplify]: Simplify 0 into 0 1.296 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) (/ 0 R)))) into 0 1.296 * [taylor]: Taking taylor expansion of 0 in R 1.296 * [backup-simplify]: Simplify 0 into 0 1.297 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) (/ 0 1)))) into 0 1.297 * [backup-simplify]: Simplify 0 into 0 1.298 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 1.298 * [taylor]: Taking taylor expansion of 0 in phi2 1.298 * [backup-simplify]: Simplify 0 into 0 1.298 * [taylor]: Taking taylor expansion of 0 in lambda1 1.298 * [backup-simplify]: Simplify 0 into 0 1.298 * [taylor]: Taking taylor expansion of 0 in lambda2 1.298 * [backup-simplify]: Simplify 0 into 0 1.298 * [taylor]: Taking taylor expansion of 0 in R 1.298 * [backup-simplify]: Simplify 0 into 0 1.298 * [taylor]: Taking taylor expansion of 0 in lambda1 1.298 * [backup-simplify]: Simplify 0 into 0 1.298 * [taylor]: Taking taylor expansion of 0 in lambda2 1.298 * [backup-simplify]: Simplify 0 into 0 1.298 * [taylor]: Taking taylor expansion of 0 in R 1.298 * [backup-simplify]: Simplify 0 into 0 1.299 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 1.299 * [taylor]: Taking taylor expansion of 0 in lambda1 1.299 * [backup-simplify]: Simplify 0 into 0 1.299 * [taylor]: Taking taylor expansion of 0 in lambda2 1.299 * [backup-simplify]: Simplify 0 into 0 1.299 * [taylor]: Taking taylor expansion of 0 in R 1.299 * [backup-simplify]: Simplify 0 into 0 1.299 * [taylor]: Taking taylor expansion of 0 in lambda2 1.299 * [backup-simplify]: Simplify 0 into 0 1.299 * [taylor]: Taking taylor expansion of 0 in R 1.299 * [backup-simplify]: Simplify 0 into 0 1.299 * [taylor]: Taking taylor expansion of 0 in lambda2 1.299 * [backup-simplify]: Simplify 0 into 0 1.299 * [taylor]: Taking taylor expansion of 0 in R 1.299 * [backup-simplify]: Simplify 0 into 0 1.300 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 1.300 * [taylor]: Taking taylor expansion of 0 in lambda2 1.300 * [backup-simplify]: Simplify 0 into 0 1.300 * [taylor]: Taking taylor expansion of 0 in R 1.300 * [backup-simplify]: Simplify 0 into 0 1.300 * [taylor]: Taking taylor expansion of 0 in R 1.300 * [backup-simplify]: Simplify 0 into 0 1.300 * [taylor]: Taking taylor expansion of 0 in R 1.300 * [backup-simplify]: Simplify 0 into 0 1.300 * [taylor]: Taking taylor expansion of 0 in R 1.300 * [backup-simplify]: Simplify 0 into 0 1.301 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 1.301 * [taylor]: Taking taylor expansion of 0 in R 1.301 * [backup-simplify]: Simplify 0 into 0 1.301 * [backup-simplify]: Simplify 0 into 0 1.301 * [backup-simplify]: Simplify 0 into 0 1.301 * [backup-simplify]: Simplify 0 into 0 1.301 * [backup-simplify]: Simplify 0 into 0 1.302 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.302 * [backup-simplify]: Simplify 0 into 0 1.303 * [backup-simplify]: Simplify (* (acos (- (+ (* (sin (/ 1 (/ 1 phi1))) (sin (/ 1 (/ 1 phi2)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi1))) (cos (/ 1 (/ 1 lambda1))))))) (* (sin (/ 1 (/ 1 lambda1))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 phi1))) (sin (- (/ 1 (/ 1 lambda2))))))))) (* (/ 1 (/ 1 R)) (* 1 (* 1 (* 1 1))))) into (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) 1.304 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))) (/ 1 (- R))) into (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) 1.304 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 1.304 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in R 1.304 * [taylor]: Taking taylor expansion of -1 in R 1.304 * [backup-simplify]: Simplify -1 into -1 1.304 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in R 1.304 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in R 1.305 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.305 * [taylor]: Taking taylor expansion of R in R 1.305 * [backup-simplify]: Simplify 0 into 0 1.305 * [backup-simplify]: Simplify 1 into 1 1.305 * [backup-simplify]: Simplify (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.305 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda2 1.305 * [taylor]: Taking taylor expansion of -1 in lambda2 1.305 * [backup-simplify]: Simplify -1 into -1 1.305 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda2 1.305 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 1.306 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.306 * [taylor]: Taking taylor expansion of R in lambda2 1.306 * [backup-simplify]: Simplify R into R 1.306 * [backup-simplify]: Simplify (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) into (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) 1.306 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda1 1.306 * [taylor]: Taking taylor expansion of -1 in lambda1 1.306 * [backup-simplify]: Simplify -1 into -1 1.306 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda1 1.307 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 1.307 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.307 * [taylor]: Taking taylor expansion of R in lambda1 1.307 * [backup-simplify]: Simplify R into R 1.308 * [backup-simplify]: Simplify (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) into (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) 1.308 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi2 1.308 * [taylor]: Taking taylor expansion of -1 in phi2 1.308 * [backup-simplify]: Simplify -1 into -1 1.308 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi2 1.308 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 1.308 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.308 * [taylor]: Taking taylor expansion of R in phi2 1.308 * [backup-simplify]: Simplify R into R 1.309 * [backup-simplify]: Simplify (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) into (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) 1.309 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi1 1.309 * [taylor]: Taking taylor expansion of -1 in phi1 1.309 * [backup-simplify]: Simplify -1 into -1 1.309 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi1 1.309 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 1.309 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.309 * [taylor]: Taking taylor expansion of R in phi1 1.309 * [backup-simplify]: Simplify R into R 1.310 * [backup-simplify]: Simplify (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) into (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) 1.310 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi1 1.310 * [taylor]: Taking taylor expansion of -1 in phi1 1.310 * [backup-simplify]: Simplify -1 into -1 1.310 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi1 1.310 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 1.311 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.311 * [taylor]: Taking taylor expansion of R in phi1 1.311 * [backup-simplify]: Simplify R into R 1.311 * [backup-simplify]: Simplify (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) into (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) 1.312 * [backup-simplify]: Simplify (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) into (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) 1.312 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi2 1.312 * [taylor]: Taking taylor expansion of -1 in phi2 1.312 * [backup-simplify]: Simplify -1 into -1 1.312 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi2 1.312 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 1.312 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.312 * [taylor]: Taking taylor expansion of R in phi2 1.312 * [backup-simplify]: Simplify R into R 1.313 * [backup-simplify]: Simplify (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) into (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) 1.314 * [backup-simplify]: Simplify (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) into (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) 1.314 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda1 1.314 * [taylor]: Taking taylor expansion of -1 in lambda1 1.314 * [backup-simplify]: Simplify -1 into -1 1.314 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda1 1.314 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 1.314 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.314 * [taylor]: Taking taylor expansion of R in lambda1 1.314 * [backup-simplify]: Simplify R into R 1.315 * [backup-simplify]: Simplify (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) into (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) 1.315 * [backup-simplify]: Simplify (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) into (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) 1.315 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda2 1.315 * [taylor]: Taking taylor expansion of -1 in lambda2 1.315 * [backup-simplify]: Simplify -1 into -1 1.315 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda2 1.315 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 1.316 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.316 * [taylor]: Taking taylor expansion of R in lambda2 1.316 * [backup-simplify]: Simplify R into R 1.317 * [backup-simplify]: Simplify (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) into (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) 1.317 * [backup-simplify]: Simplify (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) into (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) 1.317 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in R 1.317 * [taylor]: Taking taylor expansion of -1 in R 1.317 * [backup-simplify]: Simplify -1 into -1 1.317 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in R 1.317 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in R 1.318 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.318 * [taylor]: Taking taylor expansion of R in R 1.318 * [backup-simplify]: Simplify 0 into 0 1.318 * [backup-simplify]: Simplify 1 into 1 1.318 * [backup-simplify]: Simplify (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.319 * [backup-simplify]: Simplify (* -1 (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) into (* -1 (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) 1.319 * [backup-simplify]: Simplify (* -1 (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) into (* -1 (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) 1.320 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) (/ 0 R)))) into 0 1.321 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R))) into 0 1.321 * [taylor]: Taking taylor expansion of 0 in phi2 1.321 * [backup-simplify]: Simplify 0 into 0 1.321 * [taylor]: Taking taylor expansion of 0 in lambda1 1.321 * [backup-simplify]: Simplify 0 into 0 1.321 * [taylor]: Taking taylor expansion of 0 in lambda2 1.321 * [backup-simplify]: Simplify 0 into 0 1.321 * [taylor]: Taking taylor expansion of 0 in R 1.321 * [backup-simplify]: Simplify 0 into 0 1.322 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) (/ 0 R)))) into 0 1.323 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R))) into 0 1.323 * [taylor]: Taking taylor expansion of 0 in lambda1 1.323 * [backup-simplify]: Simplify 0 into 0 1.323 * [taylor]: Taking taylor expansion of 0 in lambda2 1.323 * [backup-simplify]: Simplify 0 into 0 1.323 * [taylor]: Taking taylor expansion of 0 in R 1.323 * [backup-simplify]: Simplify 0 into 0 1.324 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) (/ 0 R)))) into 0 1.324 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R))) into 0 1.325 * [taylor]: Taking taylor expansion of 0 in lambda2 1.325 * [backup-simplify]: Simplify 0 into 0 1.325 * [taylor]: Taking taylor expansion of 0 in R 1.325 * [backup-simplify]: Simplify 0 into 0 1.325 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) (/ 0 R)))) into 0 1.326 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R))) into 0 1.326 * [taylor]: Taking taylor expansion of 0 in R 1.326 * [backup-simplify]: Simplify 0 into 0 1.327 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) (/ 0 1)))) into 0 1.328 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))))) into 0 1.328 * [backup-simplify]: Simplify 0 into 0 1.329 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 1.330 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)))) into 0 1.330 * [taylor]: Taking taylor expansion of 0 in phi2 1.330 * [backup-simplify]: Simplify 0 into 0 1.330 * [taylor]: Taking taylor expansion of 0 in lambda1 1.330 * [backup-simplify]: Simplify 0 into 0 1.330 * [taylor]: Taking taylor expansion of 0 in lambda2 1.330 * [backup-simplify]: Simplify 0 into 0 1.330 * [taylor]: Taking taylor expansion of 0 in R 1.330 * [backup-simplify]: Simplify 0 into 0 1.330 * [taylor]: Taking taylor expansion of 0 in lambda1 1.330 * [backup-simplify]: Simplify 0 into 0 1.330 * [taylor]: Taking taylor expansion of 0 in lambda2 1.330 * [backup-simplify]: Simplify 0 into 0 1.330 * [taylor]: Taking taylor expansion of 0 in R 1.330 * [backup-simplify]: Simplify 0 into 0 1.331 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 1.332 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)))) into 0 1.332 * [taylor]: Taking taylor expansion of 0 in lambda1 1.332 * [backup-simplify]: Simplify 0 into 0 1.332 * [taylor]: Taking taylor expansion of 0 in lambda2 1.332 * [backup-simplify]: Simplify 0 into 0 1.332 * [taylor]: Taking taylor expansion of 0 in R 1.332 * [backup-simplify]: Simplify 0 into 0 1.332 * [taylor]: Taking taylor expansion of 0 in lambda2 1.332 * [backup-simplify]: Simplify 0 into 0 1.332 * [taylor]: Taking taylor expansion of 0 in R 1.332 * [backup-simplify]: Simplify 0 into 0 1.332 * [taylor]: Taking taylor expansion of 0 in lambda2 1.332 * [backup-simplify]: Simplify 0 into 0 1.332 * [taylor]: Taking taylor expansion of 0 in R 1.332 * [backup-simplify]: Simplify 0 into 0 1.333 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 1.334 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)))) into 0 1.334 * [taylor]: Taking taylor expansion of 0 in lambda2 1.334 * [backup-simplify]: Simplify 0 into 0 1.334 * [taylor]: Taking taylor expansion of 0 in R 1.334 * [backup-simplify]: Simplify 0 into 0 1.334 * [taylor]: Taking taylor expansion of 0 in R 1.334 * [backup-simplify]: Simplify 0 into 0 1.334 * [taylor]: Taking taylor expansion of 0 in R 1.334 * [backup-simplify]: Simplify 0 into 0 1.334 * [taylor]: Taking taylor expansion of 0 in R 1.334 * [backup-simplify]: Simplify 0 into 0 1.335 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 1.336 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)))) into 0 1.336 * [taylor]: Taking taylor expansion of 0 in R 1.336 * [backup-simplify]: Simplify 0 into 0 1.336 * [backup-simplify]: Simplify 0 into 0 1.336 * [backup-simplify]: Simplify 0 into 0 1.336 * [backup-simplify]: Simplify 0 into 0 1.336 * [backup-simplify]: Simplify 0 into 0 1.337 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.338 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))))) into 0 1.338 * [backup-simplify]: Simplify 0 into 0 1.339 * [backup-simplify]: Simplify (* (* -1 (acos (- (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2))))))) (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2)))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (sin (/ 1 (/ 1 (- lambda2)))) (cos (/ -1 (/ 1 (- phi2)))))))))) (* (/ 1 (/ 1 (- R))) (* 1 (* 1 (* 1 1))))) into (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) R) 1.340 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 2 2) 1.340 * [backup-simplify]: Simplify (* (sin lambda1) (sin (- lambda2))) into (* (sin lambda1) (sin (- lambda2))) 1.340 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in (lambda1 lambda2) around 0 1.340 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda2 1.340 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 1.340 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.340 * [backup-simplify]: Simplify lambda1 into lambda1 1.340 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 1.340 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 1.340 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 1.340 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 1.340 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.340 * [backup-simplify]: Simplify 0 into 0 1.340 * [backup-simplify]: Simplify 1 into 1 1.340 * [backup-simplify]: Simplify (- 0) into 0 1.340 * [backup-simplify]: Simplify (- 1) into -1 1.340 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda1 1.340 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.340 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.340 * [backup-simplify]: Simplify 0 into 0 1.341 * [backup-simplify]: Simplify 1 into 1 1.341 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda1 1.341 * [taylor]: Taking taylor expansion of (- lambda2) in lambda1 1.341 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.341 * [backup-simplify]: Simplify lambda2 into lambda2 1.341 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 1.341 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 1.341 * [backup-simplify]: Simplify (sin (- lambda2)) into (sin (- lambda2)) 1.341 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 1.341 * [backup-simplify]: Simplify (cos (- lambda2)) into (cos (- lambda2)) 1.341 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda1 1.341 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.341 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.341 * [backup-simplify]: Simplify 0 into 0 1.341 * [backup-simplify]: Simplify 1 into 1 1.341 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda1 1.341 * [taylor]: Taking taylor expansion of (- lambda2) in lambda1 1.341 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.341 * [backup-simplify]: Simplify lambda2 into lambda2 1.341 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 1.341 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 1.341 * [backup-simplify]: Simplify (sin (- lambda2)) into (sin (- lambda2)) 1.341 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 1.341 * [backup-simplify]: Simplify (cos (- lambda2)) into (cos (- lambda2)) 1.341 * [backup-simplify]: Simplify (* (sin (- lambda2)) 1) into (sin (- lambda2)) 1.342 * [backup-simplify]: Simplify (* (cos (- lambda2)) 0) into 0 1.342 * [backup-simplify]: Simplify (+ (sin (- lambda2)) 0) into (sin (- lambda2)) 1.342 * [backup-simplify]: Simplify (* 0 (sin (- lambda2))) into 0 1.342 * [taylor]: Taking taylor expansion of 0 in lambda2 1.342 * [backup-simplify]: Simplify 0 into 0 1.342 * [backup-simplify]: Simplify 0 into 0 1.342 * [backup-simplify]: Simplify (+ 0) into 0 1.342 * [backup-simplify]: Simplify (+ (* (sin (- lambda2)) 0) (* 0 1)) into 0 1.342 * [backup-simplify]: Simplify (- 0) into 0 1.343 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.343 * [backup-simplify]: Simplify (+ (* (cos (- lambda2)) 0) (* 0 0)) into 0 1.343 * [backup-simplify]: Simplify (+ 0 0) into 0 1.344 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.344 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (- lambda2)))) into (sin (- lambda2)) 1.344 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 1.344 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 1.344 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.344 * [backup-simplify]: Simplify 0 into 0 1.344 * [backup-simplify]: Simplify 1 into 1 1.344 * [backup-simplify]: Simplify (- 0) into 0 1.345 * [backup-simplify]: Simplify (- 1) into -1 1.345 * [backup-simplify]: Simplify 0 into 0 1.345 * [backup-simplify]: Simplify 0 into 0 1.345 * [backup-simplify]: Simplify (- 0) into 0 1.346 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.346 * [backup-simplify]: Simplify (+ (* (sin (- lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 1.346 * [backup-simplify]: Simplify (- 0) into 0 1.347 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.347 * [backup-simplify]: Simplify (+ (* (cos (- lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 1.347 * [backup-simplify]: Simplify (+ 0 0) into 0 1.348 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.348 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin (- lambda2))))) into 0 1.348 * [taylor]: Taking taylor expansion of 0 in lambda2 1.348 * [backup-simplify]: Simplify 0 into 0 1.348 * [backup-simplify]: Simplify 0 into 0 1.349 * [backup-simplify]: Simplify (- 1) into -1 1.349 * [backup-simplify]: Simplify (+ (* 1 (/ (pow -1 1) 1))) into -1 1.349 * [backup-simplify]: Simplify -1 into -1 1.349 * [backup-simplify]: Simplify 0 into 0 1.350 * [backup-simplify]: Simplify (- 0) into 0 1.350 * [backup-simplify]: Simplify (- 0) into 0 1.350 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.351 * [backup-simplify]: Simplify (+ (* (sin (- lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.351 * [backup-simplify]: Simplify (- 0) into 0 1.351 * [backup-simplify]: Simplify (- 0) into 0 1.352 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.353 * [backup-simplify]: Simplify (+ (* (cos (- lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.353 * [backup-simplify]: Simplify (+ 0 0) into 0 1.354 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 1.354 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin (- lambda2)))))) into (- (* 1/6 (sin (- lambda2)))) 1.354 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin (- lambda2)))) in lambda2 1.354 * [taylor]: Taking taylor expansion of (* 1/6 (sin (- lambda2))) in lambda2 1.354 * [taylor]: Taking taylor expansion of 1/6 in lambda2 1.354 * [backup-simplify]: Simplify 1/6 into 1/6 1.354 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 1.354 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 1.355 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.355 * [backup-simplify]: Simplify 0 into 0 1.355 * [backup-simplify]: Simplify 1 into 1 1.355 * [backup-simplify]: Simplify (- 0) into 0 1.355 * [backup-simplify]: Simplify (- 1) into -1 1.355 * [backup-simplify]: Simplify (* 1/6 0) into 0 1.355 * [backup-simplify]: Simplify (- 0) into 0 1.356 * [backup-simplify]: Simplify 0 into 0 1.356 * [backup-simplify]: Simplify 0 into 0 1.356 * [backup-simplify]: Simplify (- 0) into 0 1.356 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.356 * [backup-simplify]: Simplify 0 into 0 1.356 * [backup-simplify]: Simplify 0 into 0 1.357 * [backup-simplify]: Simplify (- 0) into 0 1.357 * [backup-simplify]: Simplify (- 0) into 0 1.357 * [backup-simplify]: Simplify (- 0) into 0 1.357 * [backup-simplify]: Simplify (- 0) into 0 1.358 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 1.359 * [backup-simplify]: Simplify (+ (* (sin (- lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.359 * [backup-simplify]: Simplify (- 0) into 0 1.359 * [backup-simplify]: Simplify (- 0) into 0 1.360 * [backup-simplify]: Simplify (- 0) into 0 1.360 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.361 * [backup-simplify]: Simplify (+ (* (cos (- lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 1.361 * [backup-simplify]: Simplify (+ 0 0) into 0 1.362 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.363 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin (- lambda2))))))) into 0 1.363 * [taylor]: Taking taylor expansion of 0 in lambda2 1.363 * [backup-simplify]: Simplify 0 into 0 1.363 * [backup-simplify]: Simplify 0 into 0 1.363 * [backup-simplify]: Simplify (* -1 (* lambda2 lambda1)) into (* -1 (* lambda2 lambda1)) 1.363 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) into (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) 1.363 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in (lambda1 lambda2) around 0 1.363 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda2 1.363 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.363 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.363 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.363 * [backup-simplify]: Simplify lambda1 into lambda1 1.363 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.363 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 1.363 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 1.363 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda2 1.363 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda2 1.363 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.364 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.364 * [backup-simplify]: Simplify 0 into 0 1.364 * [backup-simplify]: Simplify 1 into 1 1.364 * [backup-simplify]: Simplify (/ 1 1) into 1 1.364 * [backup-simplify]: Simplify (- 1) into -1 1.364 * [backup-simplify]: Simplify (sin (- (/ 1 lambda2))) into (sin (- (/ 1 lambda2))) 1.364 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda1 1.364 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.364 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.364 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.364 * [backup-simplify]: Simplify 0 into 0 1.364 * [backup-simplify]: Simplify 1 into 1 1.364 * [backup-simplify]: Simplify (/ 1 1) into 1 1.364 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 1.365 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda1 1.365 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda1 1.365 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.365 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.365 * [backup-simplify]: Simplify lambda2 into lambda2 1.365 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.365 * [backup-simplify]: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) 1.365 * [backup-simplify]: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) 1.365 * [backup-simplify]: Simplify (sin (- (/ 1 lambda2))) into (sin (- (/ 1 lambda2))) 1.365 * [backup-simplify]: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) 1.365 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2))) into (cos (- (/ 1 lambda2))) 1.365 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda1 1.365 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.365 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.365 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.365 * [backup-simplify]: Simplify 0 into 0 1.365 * [backup-simplify]: Simplify 1 into 1 1.365 * [backup-simplify]: Simplify (/ 1 1) into 1 1.365 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 1.365 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda1 1.365 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda1 1.365 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.365 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.365 * [backup-simplify]: Simplify lambda2 into lambda2 1.365 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.365 * [backup-simplify]: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) 1.365 * [backup-simplify]: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) 1.366 * [backup-simplify]: Simplify (sin (- (/ 1 lambda2))) into (sin (- (/ 1 lambda2))) 1.366 * [backup-simplify]: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) 1.366 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2))) into (cos (- (/ 1 lambda2))) 1.368 * [backup-simplify]: Simplify (* (sin (- (/ 1 lambda2))) 1) into (sin (- (/ 1 lambda2))) 1.368 * [backup-simplify]: Simplify (* (cos (- (/ 1 lambda2))) 0) into 0 1.368 * [backup-simplify]: Simplify (+ (sin (- (/ 1 lambda2))) 0) into (sin (- (/ 1 lambda2))) 1.368 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) into (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) 1.368 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda2 1.368 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.368 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.368 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.368 * [backup-simplify]: Simplify lambda1 into lambda1 1.369 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.369 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 1.369 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 1.369 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda2 1.369 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda2 1.369 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.369 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.369 * [backup-simplify]: Simplify 0 into 0 1.369 * [backup-simplify]: Simplify 1 into 1 1.369 * [backup-simplify]: Simplify (/ 1 1) into 1 1.369 * [backup-simplify]: Simplify (- 1) into -1 1.369 * [backup-simplify]: Simplify (sin (- (/ 1 lambda2))) into (sin (- (/ 1 lambda2))) 1.369 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) 1) into (sin (/ 1 lambda1)) 1.369 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) 0) into 0 1.370 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda1)) 0) into (sin (/ 1 lambda1)) 1.370 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) into (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) 1.370 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) into (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) 1.370 * [backup-simplify]: Simplify (+ 0) into 0 1.370 * [backup-simplify]: Simplify (+ (* (sin (- (/ 1 lambda2))) 0) (* 0 1)) into 0 1.370 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 1.371 * [backup-simplify]: Simplify (- 0) into 0 1.371 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.371 * [backup-simplify]: Simplify (+ (* (cos (- (/ 1 lambda2))) 0) (* 0 0)) into 0 1.372 * [backup-simplify]: Simplify (+ 0 0) into 0 1.372 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 (sin (- (/ 1 lambda2))))) into 0 1.372 * [taylor]: Taking taylor expansion of 0 in lambda2 1.372 * [backup-simplify]: Simplify 0 into 0 1.372 * [backup-simplify]: Simplify 0 into 0 1.372 * [backup-simplify]: Simplify (+ 0) into 0 1.372 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 1)) into 0 1.372 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0 1.373 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.373 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 0)) into 0 1.373 * [backup-simplify]: Simplify (+ 0 0) into 0 1.374 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 (sin (- (/ 1 lambda2))))) into 0 1.374 * [backup-simplify]: Simplify 0 into 0 1.374 * [backup-simplify]: Simplify (- 0) into 0 1.374 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.375 * [backup-simplify]: Simplify (+ (* (sin (- (/ 1 lambda2))) 0) (+ (* 0 0) (* 0 1))) into 0 1.375 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 1.375 * [backup-simplify]: Simplify (- 0) into 0 1.376 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.376 * [backup-simplify]: Simplify (+ (* (cos (- (/ 1 lambda2))) 0) (+ (* 0 0) (* 0 0))) into 0 1.376 * [backup-simplify]: Simplify (+ 0 0) into 0 1.377 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (- (/ 1 lambda2)))))) into 0 1.377 * [taylor]: Taking taylor expansion of 0 in lambda2 1.377 * [backup-simplify]: Simplify 0 into 0 1.377 * [backup-simplify]: Simplify 0 into 0 1.377 * [backup-simplify]: Simplify 0 into 0 1.377 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.378 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 1.378 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 1.378 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.378 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 1.379 * [backup-simplify]: Simplify (+ 0 0) into 0 1.379 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (- (/ 1 lambda2)))))) into 0 1.379 * [backup-simplify]: Simplify 0 into 0 1.379 * [backup-simplify]: Simplify (- 0) into 0 1.380 * [backup-simplify]: Simplify (- 0) into 0 1.380 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.381 * [backup-simplify]: Simplify (+ (* (sin (- (/ 1 lambda2))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.381 * [backup-simplify]: Simplify (- 0) into 0 1.381 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 1.381 * [backup-simplify]: Simplify (- 0) into 0 1.382 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.382 * [backup-simplify]: Simplify (+ (* (cos (- (/ 1 lambda2))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.383 * [backup-simplify]: Simplify (+ 0 0) into 0 1.383 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (- (/ 1 lambda2))))))) into 0 1.383 * [taylor]: Taking taylor expansion of 0 in lambda2 1.383 * [backup-simplify]: Simplify 0 into 0 1.383 * [backup-simplify]: Simplify 0 into 0 1.383 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 lambda1))) (sin (- (/ 1 (/ 1 lambda2))))) into (* (sin lambda1) (sin (- lambda2))) 1.384 * [backup-simplify]: Simplify (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))) into (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) 1.384 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in (lambda1 lambda2) around 0 1.384 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.384 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.384 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.384 * [taylor]: Taking taylor expansion of -1 in lambda2 1.384 * [backup-simplify]: Simplify -1 into -1 1.384 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.384 * [backup-simplify]: Simplify lambda1 into lambda1 1.384 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 1.384 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 1.384 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 1.384 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.384 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.384 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.384 * [backup-simplify]: Simplify 0 into 0 1.384 * [backup-simplify]: Simplify 1 into 1 1.384 * [backup-simplify]: Simplify (/ 1 1) into 1 1.384 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 1.384 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.384 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.384 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.384 * [taylor]: Taking taylor expansion of -1 in lambda1 1.384 * [backup-simplify]: Simplify -1 into -1 1.384 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.384 * [backup-simplify]: Simplify 0 into 0 1.384 * [backup-simplify]: Simplify 1 into 1 1.385 * [backup-simplify]: Simplify (/ -1 1) into -1 1.385 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 1.385 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.385 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.385 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.385 * [backup-simplify]: Simplify lambda2 into lambda2 1.385 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.385 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 1.385 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 1.385 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.385 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.385 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.385 * [taylor]: Taking taylor expansion of -1 in lambda1 1.385 * [backup-simplify]: Simplify -1 into -1 1.385 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.385 * [backup-simplify]: Simplify 0 into 0 1.385 * [backup-simplify]: Simplify 1 into 1 1.385 * [backup-simplify]: Simplify (/ -1 1) into -1 1.385 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 1.385 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.385 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.385 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.385 * [backup-simplify]: Simplify lambda2 into lambda2 1.385 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.386 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 1.386 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 1.386 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) 1) into (sin (/ 1 lambda2)) 1.386 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) 0) into 0 1.386 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda2)) 0) into (sin (/ 1 lambda2)) 1.386 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) 1.386 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.386 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.386 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.386 * [taylor]: Taking taylor expansion of -1 in lambda2 1.386 * [backup-simplify]: Simplify -1 into -1 1.386 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.386 * [backup-simplify]: Simplify lambda1 into lambda1 1.386 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 1.386 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 1.386 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 1.386 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.386 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.386 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.386 * [backup-simplify]: Simplify 0 into 0 1.386 * [backup-simplify]: Simplify 1 into 1 1.386 * [backup-simplify]: Simplify (/ 1 1) into 1 1.386 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 1.387 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) 1) into (sin (/ -1 lambda1)) 1.387 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) 0) into 0 1.387 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda1)) 0) into (sin (/ -1 lambda1)) 1.387 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) 1.387 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) 1.387 * [backup-simplify]: Simplify (+ 0) into 0 1.387 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 1)) into 0 1.388 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 1.388 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.388 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 0)) into 0 1.388 * [backup-simplify]: Simplify (+ 0 0) into 0 1.389 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ 1 lambda2)))) into 0 1.389 * [taylor]: Taking taylor expansion of 0 in lambda2 1.389 * [backup-simplify]: Simplify 0 into 0 1.389 * [backup-simplify]: Simplify 0 into 0 1.389 * [backup-simplify]: Simplify (+ 0) into 0 1.389 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 1)) into 0 1.389 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)))) into 0 1.390 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.390 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 0)) into 0 1.390 * [backup-simplify]: Simplify (+ 0 0) into 0 1.390 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ 1 lambda2)))) into 0 1.390 * [backup-simplify]: Simplify 0 into 0 1.391 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.391 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 1.392 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 1.392 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.392 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 1.393 * [backup-simplify]: Simplify (+ 0 0) into 0 1.393 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda2))))) into 0 1.393 * [taylor]: Taking taylor expansion of 0 in lambda2 1.393 * [backup-simplify]: Simplify 0 into 0 1.393 * [backup-simplify]: Simplify 0 into 0 1.393 * [backup-simplify]: Simplify 0 into 0 1.394 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.394 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 1.394 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 1.395 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.395 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 1.395 * [backup-simplify]: Simplify (+ 0 0) into 0 1.396 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda2))))) into 0 1.396 * [backup-simplify]: Simplify 0 into 0 1.396 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.397 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.397 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 1.398 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.398 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.398 * [backup-simplify]: Simplify (+ 0 0) into 0 1.399 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda2)))))) into 0 1.399 * [taylor]: Taking taylor expansion of 0 in lambda2 1.399 * [backup-simplify]: Simplify 0 into 0 1.399 * [backup-simplify]: Simplify 0 into 0 1.399 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- lambda1)))) (sin (/ 1 (/ 1 (- lambda2))))) into (* (sin lambda1) (sin (* -1 lambda2))) 1.399 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 1.399 * [backup-simplify]: Simplify (* (sin phi1) (sin phi2)) into (* (sin phi1) (sin phi2)) 1.399 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 1.399 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 1.399 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 1.399 * [taylor]: Taking taylor expansion of phi1 in phi2 1.399 * [backup-simplify]: Simplify phi1 into phi1 1.399 * [backup-simplify]: Simplify (sin phi1) into (sin phi1) 1.399 * [backup-simplify]: Simplify (cos phi1) into (cos phi1) 1.399 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.399 * [taylor]: Taking taylor expansion of phi2 in phi2 1.399 * [backup-simplify]: Simplify 0 into 0 1.399 * [backup-simplify]: Simplify 1 into 1 1.400 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 1.400 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 1.400 * [taylor]: Taking taylor expansion of phi1 in phi1 1.400 * [backup-simplify]: Simplify 0 into 0 1.400 * [backup-simplify]: Simplify 1 into 1 1.400 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 1.400 * [taylor]: Taking taylor expansion of phi2 in phi1 1.400 * [backup-simplify]: Simplify phi2 into phi2 1.400 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 1.400 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 1.400 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 1.400 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 1.400 * [taylor]: Taking taylor expansion of phi1 in phi1 1.400 * [backup-simplify]: Simplify 0 into 0 1.400 * [backup-simplify]: Simplify 1 into 1 1.400 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 1.400 * [taylor]: Taking taylor expansion of phi2 in phi1 1.400 * [backup-simplify]: Simplify phi2 into phi2 1.400 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 1.400 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 1.400 * [backup-simplify]: Simplify (* (sin phi2) 1) into (sin phi2) 1.400 * [backup-simplify]: Simplify (* (cos phi2) 0) into 0 1.400 * [backup-simplify]: Simplify (+ (sin phi2) 0) into (sin phi2) 1.400 * [backup-simplify]: Simplify (* 0 (sin phi2)) into 0 1.400 * [taylor]: Taking taylor expansion of 0 in phi2 1.400 * [backup-simplify]: Simplify 0 into 0 1.400 * [backup-simplify]: Simplify 0 into 0 1.400 * [backup-simplify]: Simplify (+ 0) into 0 1.401 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (* 0 1)) into 0 1.401 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.401 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (* 0 0)) into 0 1.402 * [backup-simplify]: Simplify (+ 0 0) into 0 1.402 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.402 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin phi2))) into (sin phi2) 1.402 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.402 * [taylor]: Taking taylor expansion of phi2 in phi2 1.402 * [backup-simplify]: Simplify 0 into 0 1.402 * [backup-simplify]: Simplify 1 into 1 1.402 * [backup-simplify]: Simplify 0 into 0 1.402 * [backup-simplify]: Simplify 0 into 0 1.403 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.403 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (* 0 1))) into 0 1.404 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.404 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* 0 0))) into 0 1.404 * [backup-simplify]: Simplify (+ 0 0) into 0 1.405 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.405 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin phi2)))) into 0 1.405 * [taylor]: Taking taylor expansion of 0 in phi2 1.405 * [backup-simplify]: Simplify 0 into 0 1.405 * [backup-simplify]: Simplify 0 into 0 1.406 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.406 * [backup-simplify]: Simplify 1 into 1 1.406 * [backup-simplify]: Simplify 0 into 0 1.406 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.407 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.408 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.408 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.408 * [backup-simplify]: Simplify (+ 0 0) into 0 1.409 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 1.410 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin phi2))))) into (- (* 1/6 (sin phi2))) 1.410 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 1.410 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 1.410 * [taylor]: Taking taylor expansion of 1/6 in phi2 1.410 * [backup-simplify]: Simplify 1/6 into 1/6 1.410 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.410 * [taylor]: Taking taylor expansion of phi2 in phi2 1.410 * [backup-simplify]: Simplify 0 into 0 1.410 * [backup-simplify]: Simplify 1 into 1 1.411 * [backup-simplify]: Simplify (* 1/6 0) into 0 1.411 * [backup-simplify]: Simplify (- 0) into 0 1.411 * [backup-simplify]: Simplify 0 into 0 1.411 * [backup-simplify]: Simplify 0 into 0 1.411 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.411 * [backup-simplify]: Simplify 0 into 0 1.411 * [backup-simplify]: Simplify 0 into 0 1.413 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 1.413 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.414 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.414 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 1.415 * [backup-simplify]: Simplify (+ 0 0) into 0 1.416 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.416 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin phi2)))))) into 0 1.417 * [taylor]: Taking taylor expansion of 0 in phi2 1.417 * [backup-simplify]: Simplify 0 into 0 1.417 * [backup-simplify]: Simplify 0 into 0 1.417 * [backup-simplify]: Simplify (* 1 (* phi2 phi1)) into (* phi2 phi1) 1.417 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 1.417 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 1.417 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 1.417 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 1.417 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.417 * [taylor]: Taking taylor expansion of phi1 in phi2 1.417 * [backup-simplify]: Simplify phi1 into phi1 1.417 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.417 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 1.417 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 1.417 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 1.417 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.417 * [taylor]: Taking taylor expansion of phi2 in phi2 1.417 * [backup-simplify]: Simplify 0 into 0 1.417 * [backup-simplify]: Simplify 1 into 1 1.417 * [backup-simplify]: Simplify (/ 1 1) into 1 1.417 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 1.417 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 1.417 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 1.417 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.417 * [taylor]: Taking taylor expansion of phi1 in phi1 1.417 * [backup-simplify]: Simplify 0 into 0 1.417 * [backup-simplify]: Simplify 1 into 1 1.418 * [backup-simplify]: Simplify (/ 1 1) into 1 1.418 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 1.418 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 1.418 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.418 * [taylor]: Taking taylor expansion of phi2 in phi1 1.418 * [backup-simplify]: Simplify phi2 into phi2 1.418 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.418 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 1.418 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 1.418 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 1.418 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 1.418 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.418 * [taylor]: Taking taylor expansion of phi1 in phi1 1.418 * [backup-simplify]: Simplify 0 into 0 1.418 * [backup-simplify]: Simplify 1 into 1 1.418 * [backup-simplify]: Simplify (/ 1 1) into 1 1.418 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 1.418 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 1.418 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.418 * [taylor]: Taking taylor expansion of phi2 in phi1 1.418 * [backup-simplify]: Simplify phi2 into phi2 1.418 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.418 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 1.419 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 1.419 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 1) into (sin (/ 1 phi2)) 1.419 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 0) into 0 1.419 * [backup-simplify]: Simplify (+ (sin (/ 1 phi2)) 0) into (sin (/ 1 phi2)) 1.419 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 1.419 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 1.419 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 1.419 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.419 * [taylor]: Taking taylor expansion of phi1 in phi2 1.419 * [backup-simplify]: Simplify phi1 into phi1 1.419 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.419 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 1.419 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 1.419 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 1.419 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.419 * [taylor]: Taking taylor expansion of phi2 in phi2 1.419 * [backup-simplify]: Simplify 0 into 0 1.419 * [backup-simplify]: Simplify 1 into 1 1.419 * [backup-simplify]: Simplify (/ 1 1) into 1 1.419 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 1.420 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 1) into (sin (/ 1 phi1)) 1.420 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 0) into 0 1.420 * [backup-simplify]: Simplify (+ (sin (/ 1 phi1)) 0) into (sin (/ 1 phi1)) 1.420 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 1.420 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 1.420 * [backup-simplify]: Simplify (+ 0) into 0 1.420 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 1)) into 0 1.421 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1.421 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.421 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 0)) into 0 1.421 * [backup-simplify]: Simplify (+ 0 0) into 0 1.422 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 (sin (/ 1 phi2)))) into 0 1.422 * [taylor]: Taking taylor expansion of 0 in phi2 1.422 * [backup-simplify]: Simplify 0 into 0 1.422 * [backup-simplify]: Simplify 0 into 0 1.422 * [backup-simplify]: Simplify (+ 0) into 0 1.422 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 1)) into 0 1.422 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1.423 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.423 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 0)) into 0 1.423 * [backup-simplify]: Simplify (+ 0 0) into 0 1.423 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 (sin (/ 1 phi2)))) into 0 1.423 * [backup-simplify]: Simplify 0 into 0 1.424 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.424 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 1.424 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.425 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.425 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 1.425 * [backup-simplify]: Simplify (+ 0 0) into 0 1.426 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi2))))) into 0 1.426 * [taylor]: Taking taylor expansion of 0 in phi2 1.426 * [backup-simplify]: Simplify 0 into 0 1.426 * [backup-simplify]: Simplify 0 into 0 1.426 * [backup-simplify]: Simplify 0 into 0 1.426 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.427 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 1.427 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1.427 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.428 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 1.428 * [backup-simplify]: Simplify (+ 0 0) into 0 1.428 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi2))))) into 0 1.428 * [backup-simplify]: Simplify 0 into 0 1.429 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.429 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.430 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.431 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.431 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.432 * [backup-simplify]: Simplify (+ 0 0) into 0 1.432 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 phi2)))))) into 0 1.432 * [taylor]: Taking taylor expansion of 0 in phi2 1.432 * [backup-simplify]: Simplify 0 into 0 1.432 * [backup-simplify]: Simplify 0 into 0 1.433 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 phi1))) (sin (/ 1 (/ 1 phi2)))) into (* (sin phi1) (sin phi2)) 1.433 * [backup-simplify]: Simplify (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 1.433 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 1.433 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.433 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 1.433 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.433 * [taylor]: Taking taylor expansion of -1 in phi2 1.433 * [backup-simplify]: Simplify -1 into -1 1.433 * [taylor]: Taking taylor expansion of phi1 in phi2 1.433 * [backup-simplify]: Simplify phi1 into phi1 1.433 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 1.433 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 1.433 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 1.433 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 1.433 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.433 * [taylor]: Taking taylor expansion of -1 in phi2 1.433 * [backup-simplify]: Simplify -1 into -1 1.433 * [taylor]: Taking taylor expansion of phi2 in phi2 1.434 * [backup-simplify]: Simplify 0 into 0 1.434 * [backup-simplify]: Simplify 1 into 1 1.434 * [backup-simplify]: Simplify (/ -1 1) into -1 1.434 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 1.434 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 1.434 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 1.434 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.434 * [taylor]: Taking taylor expansion of -1 in phi1 1.434 * [backup-simplify]: Simplify -1 into -1 1.434 * [taylor]: Taking taylor expansion of phi1 in phi1 1.434 * [backup-simplify]: Simplify 0 into 0 1.434 * [backup-simplify]: Simplify 1 into 1 1.435 * [backup-simplify]: Simplify (/ -1 1) into -1 1.435 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 1.435 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 1.435 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.435 * [taylor]: Taking taylor expansion of -1 in phi1 1.435 * [backup-simplify]: Simplify -1 into -1 1.435 * [taylor]: Taking taylor expansion of phi2 in phi1 1.435 * [backup-simplify]: Simplify phi2 into phi2 1.435 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 1.435 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 1.435 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 1.435 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 1.435 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 1.435 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.435 * [taylor]: Taking taylor expansion of -1 in phi1 1.435 * [backup-simplify]: Simplify -1 into -1 1.435 * [taylor]: Taking taylor expansion of phi1 in phi1 1.435 * [backup-simplify]: Simplify 0 into 0 1.435 * [backup-simplify]: Simplify 1 into 1 1.436 * [backup-simplify]: Simplify (/ -1 1) into -1 1.436 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 1.436 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 1.436 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.436 * [taylor]: Taking taylor expansion of -1 in phi1 1.436 * [backup-simplify]: Simplify -1 into -1 1.436 * [taylor]: Taking taylor expansion of phi2 in phi1 1.436 * [backup-simplify]: Simplify phi2 into phi2 1.436 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 1.436 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 1.436 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 1.436 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 1) into (sin (/ -1 phi2)) 1.436 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 0) into 0 1.437 * [backup-simplify]: Simplify (+ (sin (/ -1 phi2)) 0) into (sin (/ -1 phi2)) 1.437 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 1.437 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.437 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 1.437 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.437 * [taylor]: Taking taylor expansion of -1 in phi2 1.437 * [backup-simplify]: Simplify -1 into -1 1.437 * [taylor]: Taking taylor expansion of phi1 in phi2 1.437 * [backup-simplify]: Simplify phi1 into phi1 1.437 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 1.437 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 1.437 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 1.437 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 1.437 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.437 * [taylor]: Taking taylor expansion of -1 in phi2 1.437 * [backup-simplify]: Simplify -1 into -1 1.437 * [taylor]: Taking taylor expansion of phi2 in phi2 1.437 * [backup-simplify]: Simplify 0 into 0 1.437 * [backup-simplify]: Simplify 1 into 1 1.438 * [backup-simplify]: Simplify (/ -1 1) into -1 1.438 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 1.438 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 1) into (sin (/ -1 phi1)) 1.438 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 0) into 0 1.438 * [backup-simplify]: Simplify (+ (sin (/ -1 phi1)) 0) into (sin (/ -1 phi1)) 1.438 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 1.438 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 1.439 * [backup-simplify]: Simplify (+ 0) into 0 1.439 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 1)) into 0 1.439 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0 1.440 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.441 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 0)) into 0 1.441 * [backup-simplify]: Simplify (+ 0 0) into 0 1.441 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 1.441 * [taylor]: Taking taylor expansion of 0 in phi2 1.441 * [backup-simplify]: Simplify 0 into 0 1.441 * [backup-simplify]: Simplify 0 into 0 1.441 * [backup-simplify]: Simplify (+ 0) into 0 1.442 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 1)) into 0 1.442 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0 1.443 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.443 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 0)) into 0 1.444 * [backup-simplify]: Simplify (+ 0 0) into 0 1.444 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 1.444 * [backup-simplify]: Simplify 0 into 0 1.445 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.445 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 1.445 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.446 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.447 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 1.447 * [backup-simplify]: Simplify (+ 0 0) into 0 1.448 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 1.448 * [taylor]: Taking taylor expansion of 0 in phi2 1.448 * [backup-simplify]: Simplify 0 into 0 1.448 * [backup-simplify]: Simplify 0 into 0 1.448 * [backup-simplify]: Simplify 0 into 0 1.449 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.450 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 1.450 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1.450 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.451 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 1.451 * [backup-simplify]: Simplify (+ 0 0) into 0 1.452 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 1.452 * [backup-simplify]: Simplify 0 into 0 1.453 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.454 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.454 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.455 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.456 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.456 * [backup-simplify]: Simplify (+ 0 0) into 0 1.457 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2)))))) into 0 1.457 * [taylor]: Taking taylor expansion of 0 in phi2 1.457 * [backup-simplify]: Simplify 0 into 0 1.457 * [backup-simplify]: Simplify 0 into 0 1.457 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) into (* (sin phi1) (sin phi2)) 1.458 * * * [progress]: simplifying candidates 1.459 * [simplify]: Simplifying: (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (log R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (* (* R R) R)) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) 1) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) (- (cos (- lambda1 (- lambda2))) (cos (+ lambda1 (- lambda2)))) (* (sin lambda1) (sin (- lambda2))) (+ (log (sin lambda1)) (log (sin (- lambda2)))) (log (* (sin lambda1) (sin (- lambda2)))) (exp (* (sin lambda1) (sin (- lambda2)))) (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin (- lambda2)) (sin (- lambda2))) (sin (- lambda2)))) (* (cbrt (* (sin lambda1) (sin (- lambda2)))) (cbrt (* (sin lambda1) (sin (- lambda2))))) (cbrt (* (sin lambda1) (sin (- lambda2)))) (* (* (* (sin lambda1) (sin (- lambda2))) (* (sin lambda1) (sin (- lambda2)))) (* (sin lambda1) (sin (- lambda2)))) (sqrt (* (sin lambda1) (sin (- lambda2)))) (sqrt (* (sin lambda1) (sin (- lambda2)))) (* (sqrt (sin lambda1)) (sqrt (sin (- lambda2)))) (* (sqrt (sin lambda1)) (sqrt (sin (- lambda2)))) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (* (cbrt (sin (- lambda2))) (cbrt (sin (- lambda2))))) (* (sin lambda1) (sqrt (sin (- lambda2)))) (* (sin lambda1) 1) (* (cbrt (sin lambda1)) (sin (- lambda2))) (* (sqrt (sin lambda1)) (sin (- lambda2))) (* (sin lambda1) (sin (- lambda2))) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (+ (log (sin phi1)) (log (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (* (sin phi1) 1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) R) (* -1 (* lambda2 lambda1)) (* (sin lambda1) (sin (- lambda2))) (* (sin lambda1) (sin (* -1 lambda2))) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 1.460 * [simplify]: Sending expressions to egg_math: (/ h0 2) (asin (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (- (* (cos h2) (cos h1)) (* (sin h2) (sin (- h1))))))) (log (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (- (* (cos h2) (cos h1)) (* (sin h2) (sin (- h1)))))))) (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (- (* (cos h2) (cos h1)) (* (sin h2) (sin (- h1)))))))) (* (cbrt (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (- (* (cos h2) (cos h1)) (* (sin h2) (sin (- h1)))))))) (cbrt (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (- (* (cos h2) (cos h1)) (* (sin h2) (sin (- h1))))))))) (cbrt (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (- (* (cos h2) (cos h1)) (* (sin h2) (sin (- h1)))))))) (* (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (- (* (cos h2) (cos h1)) (* (sin h2) (sin (- h1))))))) (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (- (* (cos h2) (cos h1)) (* (sin h2) (sin (- h1)))))))) (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (- (* (cos h2) (cos h1)) (* (sin h2) (sin (- h1)))))))) (sqrt (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (- (* (cos h2) (cos h1)) (* (sin h2) (sin (- h1)))))))) (sqrt (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (- (* (cos h2) (cos h1)) (* (sin h2) (sin (- h1)))))))) (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (- (* (cos h2) (cos h1)) (* (sin h2) (sin (- h1))))))) h5) (+ (log (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (- (* (cos h2) (cos h1)) (* (sin h2) (sin (- h1)))))))) (log h5)) (log (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (- (* (cos h2) (cos h1)) (* (sin h2) (sin (- h1))))))) h5)) (exp (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (- (* (cos h2) (cos h1)) (* (sin h2) (sin (- h1))))))) h5)) (* (* (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (- (* (cos h2) (cos h1)) (* (sin h2) (sin (- h1))))))) (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (- (* (cos h2) (cos h1)) (* (sin h2) (sin (- h1)))))))) (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (- (* (cos h2) (cos h1)) (* (sin h2) (sin (- h1)))))))) (* (* h5 h5) h5)) (* (cbrt (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (- (* (cos h2) (cos h1)) (* (sin h2) (sin (- h1))))))) h5)) (cbrt (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (- (* (cos h2) (cos h1)) (* (sin h2) (sin (- h1))))))) h5))) (cbrt (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (- (* (cos h2) (cos h1)) (* (sin h2) (sin (- h1))))))) h5)) (* (* (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (- (* (cos h2) (cos h1)) (* (sin h2) (sin (- h1))))))) h5) (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (- (* (cos h2) (cos h1)) (* (sin h2) (sin (- h1))))))) h5)) (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (- (* (cos h2) (cos h1)) (* (sin h2) (sin (- h1))))))) h5)) (sqrt (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (- (* (cos h2) (cos h1)) (* (sin h2) (sin (- h1))))))) h5)) (sqrt (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (- (* (cos h2) (cos h1)) (* (sin h2) (sin (- h1))))))) h5)) (* (sqrt (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (- (* (cos h2) (cos h1)) (* (sin h2) (sin (- h1)))))))) (sqrt h5)) (* (sqrt (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (- (* (cos h2) (cos h1)) (* (sin h2) (sin (- h1)))))))) (sqrt h5)) (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (- (* (cos h2) (cos h1)) (* (sin h2) (sin (- h1))))))) (* (cbrt h5) (cbrt h5))) (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (- (* (cos h2) (cos h1)) (* (sin h2) (sin (- h1))))))) (sqrt h5)) (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (- (* (cos h2) (cos h1)) (* (sin h2) (sin (- h1))))))) 1) (* (cbrt (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (- (* (cos h2) (cos h1)) (* (sin h2) (sin (- h1)))))))) h5) (* (sqrt (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (- (* (cos h2) (cos h1)) (* (sin h2) (sin (- h1)))))))) h5) (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (- (* (cos h2) (cos h1)) (* (sin h2) (sin (- h1))))))) h5) (- (cos (- h2 (- h1))) (cos (+ h2 (- h1)))) (* (sin h2) (sin (- h1))) (+ (log (sin h2)) (log (sin (- h1)))) (log (* (sin h2) (sin (- h1)))) (exp (* (sin h2) (sin (- h1)))) (* (* (* (sin h2) (sin h2)) (sin h2)) (* (* (sin (- h1)) (sin (- h1))) (sin (- h1)))) (* (cbrt (* (sin h2) (sin (- h1)))) (cbrt (* (sin h2) (sin (- h1))))) (cbrt (* (sin h2) (sin (- h1)))) (* (* (* (sin h2) (sin (- h1))) (* (sin h2) (sin (- h1)))) (* (sin h2) (sin (- h1)))) (sqrt (* (sin h2) (sin (- h1)))) (sqrt (* (sin h2) (sin (- h1)))) (* (sqrt (sin h2)) (sqrt (sin (- h1)))) (* (sqrt (sin h2)) (sqrt (sin (- h1)))) (* (sin h2) (sin h1)) (* (sin h2) (* (cbrt (sin (- h1))) (cbrt (sin (- h1))))) (* (sin h2) (sqrt (sin (- h1)))) (* (sin h2) 1) (* (cbrt (sin h2)) (sin (- h1))) (* (sqrt (sin h2)) (sin (- h1))) (* (sin h2) (sin (- h1))) (- (cos (- h4 h3)) (cos (+ h4 h3))) (* (sin h4) (sin h3)) (+ (log (sin h4)) (log (sin h3))) (log (* (sin h4) (sin h3))) (exp (* (sin h4) (sin h3))) (* (* (* (sin h4) (sin h4)) (sin h4)) (* (* (sin h3) (sin h3)) (sin h3))) (* (cbrt (* (sin h4) (sin h3))) (cbrt (* (sin h4) (sin h3)))) (cbrt (* (sin h4) (sin h3))) (* (* (* (sin h4) (sin h3)) (* (sin h4) (sin h3))) (* (sin h4) (sin h3))) (sqrt (* (sin h4) (sin h3))) (sqrt (* (sin h4) (sin h3))) (* (sqrt (sin h4)) (sqrt (sin h3))) (* (sqrt (sin h4)) (sqrt (sin h3))) (* (sin h4) (* (cbrt (sin h3)) (cbrt (sin h3)))) (* (sin h4) (sqrt (sin h3))) (* (sin h4) 1) (* (cbrt (sin h4)) (sin h3)) (* (sqrt (sin h4)) (sin h3)) (* (sin h4) (sin h3)) (acos (- (+ (* (sin h4) (sin h3)) (* (cos h2) (* (cos h4) (* (cos h3) (cos h1))))) (* (sin h2) (* (cos h4) (* (cos h3) (sin (- h1))))))) (acos (- (+ (* (sin h4) (sin h3)) (* (cos h2) (* (cos h4) (* (cos h3) (cos h1))))) (* (sin h2) (* (cos h4) (* (cos h3) (sin (- h1))))))) (acos (- (+ (* (sin h4) (sin h3)) (* (cos h2) (* (cos h4) (* (cos h3) (cos h1))))) (* (sin h2) (* (cos h4) (* (cos h3) (sin (* -1 h1))))))) (* (acos (- (+ (* (sin h4) (sin h3)) (* (cos h2) (* (cos h4) (* (cos h3) (cos h1))))) (* (sin h2) (* (cos h4) (* (cos h3) (sin (- h1))))))) h5) (* (acos (- (+ (* (sin h4) (sin h3)) (* (cos h2) (* (cos h4) (* (cos h3) (cos h1))))) (* (sin h2) (* (cos h4) (* (cos h3) (sin (- h1))))))) h5) (* (acos (- (+ (* (sin h4) (sin h3)) (* (cos h2) (* (cos h4) (* (cos h3) (cos h1))))) (* (sin h2) (* (cos h4) (* (cos h3) (sin (* -1 h1))))))) h5) (* -1 (* h1 h2)) (* (sin h2) (sin (- h1))) (* (sin h2) (sin (* -1 h1))) (* h3 h4) (* (sin h4) (sin h3)) (* (sin h4) (sin h3)) 1.543 * * * [progress]: adding candidates to table 1.920 * * [progress]: iteration 3 / 4 1.920 * * * [progress]: picking best candidate 2.012 * * * * [pick]: Picked # 2.013 * * * [progress]: localizing error 2.056 * * * [progress]: generating rewritten candidates 2.057 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 2.062 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 2.064 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 2.072 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1) 2.083 * * * [progress]: generating series expansions 2.083 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 2.084 * [backup-simplify]: Simplify (cbrt (pow (* (sin phi1) (sin phi2)) 3)) into (* (sin phi1) (sin phi2)) 2.084 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 2.084 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 2.084 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 2.084 * [taylor]: Taking taylor expansion of phi1 in phi2 2.084 * [backup-simplify]: Simplify phi1 into phi1 2.084 * [backup-simplify]: Simplify (sin phi1) into (sin phi1) 2.084 * [backup-simplify]: Simplify (cos phi1) into (cos phi1) 2.084 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 2.084 * [taylor]: Taking taylor expansion of phi2 in phi2 2.084 * [backup-simplify]: Simplify 0 into 0 2.084 * [backup-simplify]: Simplify 1 into 1 2.084 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 2.084 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 2.084 * [taylor]: Taking taylor expansion of phi1 in phi1 2.084 * [backup-simplify]: Simplify 0 into 0 2.084 * [backup-simplify]: Simplify 1 into 1 2.084 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 2.084 * [taylor]: Taking taylor expansion of phi2 in phi1 2.084 * [backup-simplify]: Simplify phi2 into phi2 2.084 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 2.084 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 2.084 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 2.084 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 2.084 * [taylor]: Taking taylor expansion of phi1 in phi1 2.084 * [backup-simplify]: Simplify 0 into 0 2.084 * [backup-simplify]: Simplify 1 into 1 2.084 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 2.084 * [taylor]: Taking taylor expansion of phi2 in phi1 2.084 * [backup-simplify]: Simplify phi2 into phi2 2.084 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 2.084 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 2.084 * [backup-simplify]: Simplify (* (sin phi2) 1) into (sin phi2) 2.084 * [backup-simplify]: Simplify (* (cos phi2) 0) into 0 2.084 * [backup-simplify]: Simplify (+ (sin phi2) 0) into (sin phi2) 2.084 * [backup-simplify]: Simplify (* 0 (sin phi2)) into 0 2.084 * [taylor]: Taking taylor expansion of 0 in phi2 2.085 * [backup-simplify]: Simplify 0 into 0 2.085 * [backup-simplify]: Simplify 0 into 0 2.085 * [backup-simplify]: Simplify (+ 0) into 0 2.085 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (* 0 1)) into 0 2.086 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.086 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (* 0 0)) into 0 2.086 * [backup-simplify]: Simplify (+ 0 0) into 0 2.087 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 2.087 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin phi2))) into (sin phi2) 2.087 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 2.087 * [taylor]: Taking taylor expansion of phi2 in phi2 2.087 * [backup-simplify]: Simplify 0 into 0 2.087 * [backup-simplify]: Simplify 1 into 1 2.087 * [backup-simplify]: Simplify 0 into 0 2.087 * [backup-simplify]: Simplify 0 into 0 2.088 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.088 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (* 0 1))) into 0 2.089 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.089 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* 0 0))) into 0 2.089 * [backup-simplify]: Simplify (+ 0 0) into 0 2.089 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.090 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin phi2)))) into 0 2.090 * [taylor]: Taking taylor expansion of 0 in phi2 2.090 * [backup-simplify]: Simplify 0 into 0 2.090 * [backup-simplify]: Simplify 0 into 0 2.090 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 2.091 * [backup-simplify]: Simplify 1 into 1 2.091 * [backup-simplify]: Simplify 0 into 0 2.091 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.092 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.093 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.093 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.093 * [backup-simplify]: Simplify (+ 0 0) into 0 2.094 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 2.095 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin phi2))))) into (- (* 1/6 (sin phi2))) 2.095 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 2.095 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 2.095 * [taylor]: Taking taylor expansion of 1/6 in phi2 2.095 * [backup-simplify]: Simplify 1/6 into 1/6 2.095 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 2.095 * [taylor]: Taking taylor expansion of phi2 in phi2 2.095 * [backup-simplify]: Simplify 0 into 0 2.095 * [backup-simplify]: Simplify 1 into 1 2.095 * [backup-simplify]: Simplify (* 1/6 0) into 0 2.095 * [backup-simplify]: Simplify (- 0) into 0 2.096 * [backup-simplify]: Simplify 0 into 0 2.096 * [backup-simplify]: Simplify 0 into 0 2.096 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.096 * [backup-simplify]: Simplify 0 into 0 2.096 * [backup-simplify]: Simplify 0 into 0 2.097 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 2.098 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.099 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 2.099 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 2.099 * [backup-simplify]: Simplify (+ 0 0) into 0 2.100 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 2.101 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin phi2)))))) into 0 2.101 * [taylor]: Taking taylor expansion of 0 in phi2 2.101 * [backup-simplify]: Simplify 0 into 0 2.101 * [backup-simplify]: Simplify 0 into 0 2.101 * [backup-simplify]: Simplify (* 1 (* phi2 phi1)) into (* phi2 phi1) 2.101 * [backup-simplify]: Simplify (cbrt (pow (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 3)) into (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 2.101 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 2.101 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 2.102 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 2.102 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 2.102 * [taylor]: Taking taylor expansion of phi1 in phi2 2.102 * [backup-simplify]: Simplify phi1 into phi1 2.102 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 2.102 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 2.102 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 2.102 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 2.102 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 2.102 * [taylor]: Taking taylor expansion of phi2 in phi2 2.102 * [backup-simplify]: Simplify 0 into 0 2.102 * [backup-simplify]: Simplify 1 into 1 2.102 * [backup-simplify]: Simplify (/ 1 1) into 1 2.102 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 2.102 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 2.102 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 2.102 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 2.102 * [taylor]: Taking taylor expansion of phi1 in phi1 2.102 * [backup-simplify]: Simplify 0 into 0 2.102 * [backup-simplify]: Simplify 1 into 1 2.102 * [backup-simplify]: Simplify (/ 1 1) into 1 2.102 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 2.102 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 2.103 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 2.103 * [taylor]: Taking taylor expansion of phi2 in phi1 2.103 * [backup-simplify]: Simplify phi2 into phi2 2.103 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 2.103 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 2.103 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 2.103 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 2.103 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 2.103 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 2.103 * [taylor]: Taking taylor expansion of phi1 in phi1 2.103 * [backup-simplify]: Simplify 0 into 0 2.103 * [backup-simplify]: Simplify 1 into 1 2.103 * [backup-simplify]: Simplify (/ 1 1) into 1 2.103 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 2.103 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 2.103 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 2.103 * [taylor]: Taking taylor expansion of phi2 in phi1 2.103 * [backup-simplify]: Simplify phi2 into phi2 2.103 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 2.103 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 2.103 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 2.103 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 1) into (sin (/ 1 phi2)) 2.103 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 0) into 0 2.103 * [backup-simplify]: Simplify (+ (sin (/ 1 phi2)) 0) into (sin (/ 1 phi2)) 2.104 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 2.104 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 2.104 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 2.104 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 2.104 * [taylor]: Taking taylor expansion of phi1 in phi2 2.104 * [backup-simplify]: Simplify phi1 into phi1 2.104 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 2.104 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 2.104 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 2.104 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 2.104 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 2.104 * [taylor]: Taking taylor expansion of phi2 in phi2 2.104 * [backup-simplify]: Simplify 0 into 0 2.104 * [backup-simplify]: Simplify 1 into 1 2.104 * [backup-simplify]: Simplify (/ 1 1) into 1 2.104 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 2.111 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 1) into (sin (/ 1 phi1)) 2.111 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 0) into 0 2.111 * [backup-simplify]: Simplify (+ (sin (/ 1 phi1)) 0) into (sin (/ 1 phi1)) 2.111 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 2.111 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 2.112 * [backup-simplify]: Simplify (+ 0) into 0 2.112 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 1)) into 0 2.112 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 2.113 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.113 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 0)) into 0 2.113 * [backup-simplify]: Simplify (+ 0 0) into 0 2.113 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 (sin (/ 1 phi2)))) into 0 2.113 * [taylor]: Taking taylor expansion of 0 in phi2 2.113 * [backup-simplify]: Simplify 0 into 0 2.113 * [backup-simplify]: Simplify 0 into 0 2.114 * [backup-simplify]: Simplify (+ 0) into 0 2.114 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 1)) into 0 2.114 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 2.114 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.115 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 0)) into 0 2.115 * [backup-simplify]: Simplify (+ 0 0) into 0 2.115 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 (sin (/ 1 phi2)))) into 0 2.115 * [backup-simplify]: Simplify 0 into 0 2.116 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.116 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 2.116 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 2.117 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.117 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 2.117 * [backup-simplify]: Simplify (+ 0 0) into 0 2.117 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi2))))) into 0 2.117 * [taylor]: Taking taylor expansion of 0 in phi2 2.117 * [backup-simplify]: Simplify 0 into 0 2.117 * [backup-simplify]: Simplify 0 into 0 2.118 * [backup-simplify]: Simplify 0 into 0 2.118 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.118 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 2.119 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 2.119 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.119 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 2.120 * [backup-simplify]: Simplify (+ 0 0) into 0 2.120 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi2))))) into 0 2.120 * [backup-simplify]: Simplify 0 into 0 2.121 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.121 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.121 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 2.122 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.122 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.123 * [backup-simplify]: Simplify (+ 0 0) into 0 2.123 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 phi2)))))) into 0 2.123 * [taylor]: Taking taylor expansion of 0 in phi2 2.123 * [backup-simplify]: Simplify 0 into 0 2.123 * [backup-simplify]: Simplify 0 into 0 2.123 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 phi1))) (sin (/ 1 (/ 1 phi2)))) into (* (sin phi1) (sin phi2)) 2.124 * [backup-simplify]: Simplify (cbrt (pow (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) 3)) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 2.124 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 2.124 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 2.124 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 2.124 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 2.124 * [taylor]: Taking taylor expansion of -1 in phi2 2.124 * [backup-simplify]: Simplify -1 into -1 2.124 * [taylor]: Taking taylor expansion of phi1 in phi2 2.124 * [backup-simplify]: Simplify phi1 into phi1 2.124 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 2.124 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 2.124 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 2.124 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 2.124 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 2.124 * [taylor]: Taking taylor expansion of -1 in phi2 2.124 * [backup-simplify]: Simplify -1 into -1 2.124 * [taylor]: Taking taylor expansion of phi2 in phi2 2.124 * [backup-simplify]: Simplify 0 into 0 2.124 * [backup-simplify]: Simplify 1 into 1 2.124 * [backup-simplify]: Simplify (/ -1 1) into -1 2.124 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 2.124 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 2.124 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 2.124 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 2.124 * [taylor]: Taking taylor expansion of -1 in phi1 2.124 * [backup-simplify]: Simplify -1 into -1 2.124 * [taylor]: Taking taylor expansion of phi1 in phi1 2.124 * [backup-simplify]: Simplify 0 into 0 2.124 * [backup-simplify]: Simplify 1 into 1 2.125 * [backup-simplify]: Simplify (/ -1 1) into -1 2.125 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 2.125 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 2.125 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 2.125 * [taylor]: Taking taylor expansion of -1 in phi1 2.125 * [backup-simplify]: Simplify -1 into -1 2.125 * [taylor]: Taking taylor expansion of phi2 in phi1 2.125 * [backup-simplify]: Simplify phi2 into phi2 2.125 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 2.125 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 2.125 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 2.125 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 2.125 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 2.125 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 2.125 * [taylor]: Taking taylor expansion of -1 in phi1 2.125 * [backup-simplify]: Simplify -1 into -1 2.125 * [taylor]: Taking taylor expansion of phi1 in phi1 2.125 * [backup-simplify]: Simplify 0 into 0 2.125 * [backup-simplify]: Simplify 1 into 1 2.125 * [backup-simplify]: Simplify (/ -1 1) into -1 2.125 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 2.125 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 2.125 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 2.125 * [taylor]: Taking taylor expansion of -1 in phi1 2.125 * [backup-simplify]: Simplify -1 into -1 2.126 * [taylor]: Taking taylor expansion of phi2 in phi1 2.126 * [backup-simplify]: Simplify phi2 into phi2 2.126 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 2.126 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 2.126 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 2.126 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 1) into (sin (/ -1 phi2)) 2.126 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 0) into 0 2.126 * [backup-simplify]: Simplify (+ (sin (/ -1 phi2)) 0) into (sin (/ -1 phi2)) 2.126 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 2.126 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 2.126 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 2.126 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 2.126 * [taylor]: Taking taylor expansion of -1 in phi2 2.126 * [backup-simplify]: Simplify -1 into -1 2.126 * [taylor]: Taking taylor expansion of phi1 in phi2 2.126 * [backup-simplify]: Simplify phi1 into phi1 2.126 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 2.126 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 2.126 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 2.126 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 2.126 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 2.126 * [taylor]: Taking taylor expansion of -1 in phi2 2.126 * [backup-simplify]: Simplify -1 into -1 2.126 * [taylor]: Taking taylor expansion of phi2 in phi2 2.126 * [backup-simplify]: Simplify 0 into 0 2.126 * [backup-simplify]: Simplify 1 into 1 2.127 * [backup-simplify]: Simplify (/ -1 1) into -1 2.127 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 2.127 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 1) into (sin (/ -1 phi1)) 2.127 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 0) into 0 2.127 * [backup-simplify]: Simplify (+ (sin (/ -1 phi1)) 0) into (sin (/ -1 phi1)) 2.127 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 2.127 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 2.127 * [backup-simplify]: Simplify (+ 0) into 0 2.128 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 1)) into 0 2.128 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0 2.128 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.128 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 0)) into 0 2.129 * [backup-simplify]: Simplify (+ 0 0) into 0 2.129 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 2.129 * [taylor]: Taking taylor expansion of 0 in phi2 2.129 * [backup-simplify]: Simplify 0 into 0 2.129 * [backup-simplify]: Simplify 0 into 0 2.129 * [backup-simplify]: Simplify (+ 0) into 0 2.129 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 1)) into 0 2.129 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0 2.130 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.130 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 0)) into 0 2.130 * [backup-simplify]: Simplify (+ 0 0) into 0 2.131 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 2.131 * [backup-simplify]: Simplify 0 into 0 2.131 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.132 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 2.132 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 2.132 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.132 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 2.133 * [backup-simplify]: Simplify (+ 0 0) into 0 2.133 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 2.133 * [taylor]: Taking taylor expansion of 0 in phi2 2.133 * [backup-simplify]: Simplify 0 into 0 2.133 * [backup-simplify]: Simplify 0 into 0 2.133 * [backup-simplify]: Simplify 0 into 0 2.134 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.134 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 2.134 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 2.135 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.135 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 2.135 * [backup-simplify]: Simplify (+ 0 0) into 0 2.136 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 2.136 * [backup-simplify]: Simplify 0 into 0 2.136 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.137 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.137 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 2.138 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.138 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.138 * [backup-simplify]: Simplify (+ 0 0) into 0 2.139 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2)))))) into 0 2.139 * [taylor]: Taking taylor expansion of 0 in phi2 2.139 * [backup-simplify]: Simplify 0 into 0 2.139 * [backup-simplify]: Simplify 0 into 0 2.139 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) into (* (sin phi1) (sin phi2)) 2.139 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 2.140 * [backup-simplify]: Simplify (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2.140 * [approximate]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.140 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda2 2.140 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2.140 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda1 2.140 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2.140 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi2 2.141 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2.141 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi1 2.141 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2.141 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi1 2.142 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2.142 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi2 2.142 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2.142 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda1 2.143 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2.143 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda2 2.143 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2.143 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2.144 * [taylor]: Taking taylor expansion of 0 in phi2 2.144 * [backup-simplify]: Simplify 0 into 0 2.144 * [taylor]: Taking taylor expansion of 0 in lambda1 2.144 * [backup-simplify]: Simplify 0 into 0 2.144 * [taylor]: Taking taylor expansion of 0 in lambda2 2.144 * [backup-simplify]: Simplify 0 into 0 2.144 * [backup-simplify]: Simplify 0 into 0 2.144 * [taylor]: Taking taylor expansion of 0 in lambda1 2.144 * [backup-simplify]: Simplify 0 into 0 2.144 * [taylor]: Taking taylor expansion of 0 in lambda2 2.144 * [backup-simplify]: Simplify 0 into 0 2.144 * [backup-simplify]: Simplify 0 into 0 2.144 * [taylor]: Taking taylor expansion of 0 in lambda2 2.144 * [backup-simplify]: Simplify 0 into 0 2.144 * [backup-simplify]: Simplify 0 into 0 2.144 * [backup-simplify]: Simplify 0 into 0 2.144 * [taylor]: Taking taylor expansion of 0 in phi2 2.144 * [backup-simplify]: Simplify 0 into 0 2.144 * [taylor]: Taking taylor expansion of 0 in lambda1 2.144 * [backup-simplify]: Simplify 0 into 0 2.144 * [taylor]: Taking taylor expansion of 0 in lambda2 2.144 * [backup-simplify]: Simplify 0 into 0 2.144 * [backup-simplify]: Simplify 0 into 0 2.144 * [taylor]: Taking taylor expansion of 0 in lambda1 2.144 * [backup-simplify]: Simplify 0 into 0 2.144 * [taylor]: Taking taylor expansion of 0 in lambda2 2.144 * [backup-simplify]: Simplify 0 into 0 2.144 * [backup-simplify]: Simplify 0 into 0 2.144 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2.145 * [backup-simplify]: Simplify (acos (+ (cbrt (pow (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 3)) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2.145 * [approximate]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.145 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 2.146 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2.146 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 2.146 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2.146 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 2.147 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2.147 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 2.148 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2.148 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 2.148 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2.148 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 2.149 * [backup-simplify]: Simplify (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2.149 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 2.149 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2.149 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 2.150 * [backup-simplify]: Simplify (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2.150 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2.150 * [taylor]: Taking taylor expansion of 0 in phi2 2.151 * [backup-simplify]: Simplify 0 into 0 2.151 * [taylor]: Taking taylor expansion of 0 in lambda1 2.151 * [backup-simplify]: Simplify 0 into 0 2.151 * [taylor]: Taking taylor expansion of 0 in lambda2 2.151 * [backup-simplify]: Simplify 0 into 0 2.151 * [backup-simplify]: Simplify 0 into 0 2.151 * [taylor]: Taking taylor expansion of 0 in lambda1 2.151 * [backup-simplify]: Simplify 0 into 0 2.151 * [taylor]: Taking taylor expansion of 0 in lambda2 2.151 * [backup-simplify]: Simplify 0 into 0 2.151 * [backup-simplify]: Simplify 0 into 0 2.151 * [taylor]: Taking taylor expansion of 0 in lambda2 2.151 * [backup-simplify]: Simplify 0 into 0 2.151 * [backup-simplify]: Simplify 0 into 0 2.151 * [backup-simplify]: Simplify 0 into 0 2.151 * [taylor]: Taking taylor expansion of 0 in phi2 2.151 * [backup-simplify]: Simplify 0 into 0 2.151 * [taylor]: Taking taylor expansion of 0 in lambda1 2.151 * [backup-simplify]: Simplify 0 into 0 2.151 * [taylor]: Taking taylor expansion of 0 in lambda2 2.151 * [backup-simplify]: Simplify 0 into 0 2.151 * [backup-simplify]: Simplify 0 into 0 2.151 * [taylor]: Taking taylor expansion of 0 in lambda1 2.151 * [backup-simplify]: Simplify 0 into 0 2.151 * [taylor]: Taking taylor expansion of 0 in lambda2 2.151 * [backup-simplify]: Simplify 0 into 0 2.151 * [backup-simplify]: Simplify 0 into 0 2.152 * [backup-simplify]: Simplify (acos (- (+ (* (sin (/ 1 (/ 1 phi1))) (sin (/ 1 (/ 1 phi2)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi1))) (cos (/ 1 (/ 1 lambda1))))))) (* (sin (/ 1 (/ 1 lambda1))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 phi1))) (sin (- (/ 1 (/ 1 lambda2))))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2.152 * [backup-simplify]: Simplify (acos (+ (cbrt (pow (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) 3)) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2.152 * [approximate]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.152 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 2.153 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2.153 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 2.153 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2.153 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 2.154 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2.154 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 2.154 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2.154 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 2.155 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2.155 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 2.156 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2.156 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 2.156 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2.156 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 2.157 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2.157 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2.157 * [taylor]: Taking taylor expansion of 0 in phi2 2.157 * [backup-simplify]: Simplify 0 into 0 2.157 * [taylor]: Taking taylor expansion of 0 in lambda1 2.157 * [backup-simplify]: Simplify 0 into 0 2.157 * [taylor]: Taking taylor expansion of 0 in lambda2 2.157 * [backup-simplify]: Simplify 0 into 0 2.157 * [backup-simplify]: Simplify 0 into 0 2.157 * [taylor]: Taking taylor expansion of 0 in lambda1 2.157 * [backup-simplify]: Simplify 0 into 0 2.157 * [taylor]: Taking taylor expansion of 0 in lambda2 2.158 * [backup-simplify]: Simplify 0 into 0 2.158 * [backup-simplify]: Simplify 0 into 0 2.158 * [taylor]: Taking taylor expansion of 0 in lambda2 2.158 * [backup-simplify]: Simplify 0 into 0 2.158 * [backup-simplify]: Simplify 0 into 0 2.158 * [backup-simplify]: Simplify 0 into 0 2.158 * [taylor]: Taking taylor expansion of 0 in phi2 2.158 * [backup-simplify]: Simplify 0 into 0 2.158 * [taylor]: Taking taylor expansion of 0 in lambda1 2.158 * [backup-simplify]: Simplify 0 into 0 2.158 * [taylor]: Taking taylor expansion of 0 in lambda2 2.158 * [backup-simplify]: Simplify 0 into 0 2.158 * [backup-simplify]: Simplify 0 into 0 2.158 * [taylor]: Taking taylor expansion of 0 in lambda1 2.158 * [backup-simplify]: Simplify 0 into 0 2.158 * [taylor]: Taking taylor expansion of 0 in lambda2 2.158 * [backup-simplify]: Simplify 0 into 0 2.158 * [backup-simplify]: Simplify 0 into 0 2.158 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2))))))) (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2)))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (sin (/ 1 (/ 1 (- lambda2)))) (cos (/ -1 (/ 1 (- phi2))))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) 2.159 * * * * [progress]: [ 3 / 4 ] generating series at (2) 2.159 * [backup-simplify]: Simplify (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) into (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) 2.159 * [approximate]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 2.159 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in R 2.159 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in R 2.160 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2.160 * [taylor]: Taking taylor expansion of R in R 2.160 * [backup-simplify]: Simplify 0 into 0 2.160 * [backup-simplify]: Simplify 1 into 1 2.160 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in lambda2 2.160 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda2 2.160 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2.160 * [taylor]: Taking taylor expansion of R in lambda2 2.160 * [backup-simplify]: Simplify R into R 2.160 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in lambda1 2.160 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda1 2.160 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2.160 * [taylor]: Taking taylor expansion of R in lambda1 2.160 * [backup-simplify]: Simplify R into R 2.161 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in phi2 2.161 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi2 2.161 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2.161 * [taylor]: Taking taylor expansion of R in phi2 2.161 * [backup-simplify]: Simplify R into R 2.161 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in phi1 2.161 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi1 2.161 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2.161 * [taylor]: Taking taylor expansion of R in phi1 2.161 * [backup-simplify]: Simplify R into R 2.161 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in phi1 2.161 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi1 2.162 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2.162 * [taylor]: Taking taylor expansion of R in phi1 2.162 * [backup-simplify]: Simplify R into R 2.162 * [backup-simplify]: Simplify (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) into (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) 2.162 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in phi2 2.162 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi2 2.163 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2.163 * [taylor]: Taking taylor expansion of R in phi2 2.163 * [backup-simplify]: Simplify R into R 2.163 * [backup-simplify]: Simplify (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) into (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) 2.163 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in lambda1 2.163 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda1 2.164 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2.164 * [taylor]: Taking taylor expansion of R in lambda1 2.164 * [backup-simplify]: Simplify R into R 2.164 * [backup-simplify]: Simplify (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) into (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) 2.164 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in lambda2 2.164 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda2 2.164 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2.164 * [taylor]: Taking taylor expansion of R in lambda2 2.164 * [backup-simplify]: Simplify R into R 2.165 * [backup-simplify]: Simplify (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) into (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) 2.165 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in R 2.165 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in R 2.165 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2.165 * [taylor]: Taking taylor expansion of R in R 2.165 * [backup-simplify]: Simplify 0 into 0 2.165 * [backup-simplify]: Simplify 1 into 1 2.166 * [backup-simplify]: Simplify (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 0) into 0 2.166 * [backup-simplify]: Simplify 0 into 0 2.166 * [backup-simplify]: Simplify (+ (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 0) (* 0 R)) into 0 2.166 * [taylor]: Taking taylor expansion of 0 in phi2 2.166 * [backup-simplify]: Simplify 0 into 0 2.166 * [taylor]: Taking taylor expansion of 0 in lambda1 2.166 * [backup-simplify]: Simplify 0 into 0 2.166 * [taylor]: Taking taylor expansion of 0 in lambda2 2.166 * [backup-simplify]: Simplify 0 into 0 2.166 * [taylor]: Taking taylor expansion of 0 in R 2.166 * [backup-simplify]: Simplify 0 into 0 2.166 * [backup-simplify]: Simplify 0 into 0 2.167 * [backup-simplify]: Simplify (+ (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 0) (* 0 R)) into 0 2.167 * [taylor]: Taking taylor expansion of 0 in lambda1 2.167 * [backup-simplify]: Simplify 0 into 0 2.167 * [taylor]: Taking taylor expansion of 0 in lambda2 2.167 * [backup-simplify]: Simplify 0 into 0 2.167 * [taylor]: Taking taylor expansion of 0 in R 2.167 * [backup-simplify]: Simplify 0 into 0 2.167 * [backup-simplify]: Simplify 0 into 0 2.167 * [backup-simplify]: Simplify (+ (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 0) (* 0 R)) into 0 2.167 * [taylor]: Taking taylor expansion of 0 in lambda2 2.167 * [backup-simplify]: Simplify 0 into 0 2.167 * [taylor]: Taking taylor expansion of 0 in R 2.167 * [backup-simplify]: Simplify 0 into 0 2.167 * [backup-simplify]: Simplify 0 into 0 2.168 * [backup-simplify]: Simplify (+ (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 0) (* 0 R)) into 0 2.168 * [taylor]: Taking taylor expansion of 0 in R 2.168 * [backup-simplify]: Simplify 0 into 0 2.168 * [backup-simplify]: Simplify 0 into 0 2.169 * [backup-simplify]: Simplify (+ (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 1) (* 0 0)) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2.169 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2.170 * [backup-simplify]: Simplify (+ (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 0) (+ (* 0 0) (* 0 R))) into 0 2.170 * [taylor]: Taking taylor expansion of 0 in phi2 2.170 * [backup-simplify]: Simplify 0 into 0 2.170 * [taylor]: Taking taylor expansion of 0 in lambda1 2.170 * [backup-simplify]: Simplify 0 into 0 2.170 * [taylor]: Taking taylor expansion of 0 in lambda2 2.170 * [backup-simplify]: Simplify 0 into 0 2.170 * [taylor]: Taking taylor expansion of 0 in R 2.170 * [backup-simplify]: Simplify 0 into 0 2.170 * [backup-simplify]: Simplify 0 into 0 2.170 * [taylor]: Taking taylor expansion of 0 in lambda1 2.170 * [backup-simplify]: Simplify 0 into 0 2.170 * [taylor]: Taking taylor expansion of 0 in lambda2 2.170 * [backup-simplify]: Simplify 0 into 0 2.170 * [taylor]: Taking taylor expansion of 0 in R 2.170 * [backup-simplify]: Simplify 0 into 0 2.170 * [backup-simplify]: Simplify 0 into 0 2.171 * [backup-simplify]: Simplify (+ (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 0) (+ (* 0 0) (* 0 R))) into 0 2.171 * [taylor]: Taking taylor expansion of 0 in lambda1 2.171 * [backup-simplify]: Simplify 0 into 0 2.171 * [taylor]: Taking taylor expansion of 0 in lambda2 2.171 * [backup-simplify]: Simplify 0 into 0 2.171 * [taylor]: Taking taylor expansion of 0 in R 2.171 * [backup-simplify]: Simplify 0 into 0 2.171 * [backup-simplify]: Simplify 0 into 0 2.171 * [taylor]: Taking taylor expansion of 0 in lambda2 2.171 * [backup-simplify]: Simplify 0 into 0 2.171 * [taylor]: Taking taylor expansion of 0 in R 2.171 * [backup-simplify]: Simplify 0 into 0 2.171 * [backup-simplify]: Simplify 0 into 0 2.171 * [taylor]: Taking taylor expansion of 0 in lambda2 2.171 * [backup-simplify]: Simplify 0 into 0 2.171 * [taylor]: Taking taylor expansion of 0 in R 2.171 * [backup-simplify]: Simplify 0 into 0 2.171 * [backup-simplify]: Simplify 0 into 0 2.172 * [backup-simplify]: Simplify (+ (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 0) (+ (* 0 0) (* 0 R))) into 0 2.172 * [taylor]: Taking taylor expansion of 0 in lambda2 2.172 * [backup-simplify]: Simplify 0 into 0 2.172 * [taylor]: Taking taylor expansion of 0 in R 2.172 * [backup-simplify]: Simplify 0 into 0 2.172 * [backup-simplify]: Simplify 0 into 0 2.173 * [backup-simplify]: Simplify (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) (* R (* 1 (* 1 (* 1 1))))) into (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) 2.173 * [backup-simplify]: Simplify (* (acos (+ (cbrt (pow (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 3)) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))) (/ 1 R)) into (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) 2.173 * [approximate]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 2.173 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in R 2.173 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in R 2.174 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2.174 * [taylor]: Taking taylor expansion of R in R 2.174 * [backup-simplify]: Simplify 0 into 0 2.174 * [backup-simplify]: Simplify 1 into 1 2.175 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1) into (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2.175 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in lambda2 2.175 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 2.175 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2.175 * [taylor]: Taking taylor expansion of R in lambda2 2.175 * [backup-simplify]: Simplify R into R 2.176 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) into (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) 2.176 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in lambda1 2.176 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 2.176 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2.176 * [taylor]: Taking taylor expansion of R in lambda1 2.176 * [backup-simplify]: Simplify R into R 2.177 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) into (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) 2.177 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in phi2 2.177 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 2.177 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2.178 * [taylor]: Taking taylor expansion of R in phi2 2.178 * [backup-simplify]: Simplify R into R 2.178 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) into (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) 2.178 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in phi1 2.178 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 2.179 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2.179 * [taylor]: Taking taylor expansion of R in phi1 2.179 * [backup-simplify]: Simplify R into R 2.179 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) into (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) 2.179 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in phi1 2.179 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 2.180 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2.180 * [taylor]: Taking taylor expansion of R in phi1 2.180 * [backup-simplify]: Simplify R into R 2.180 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) into (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) 2.181 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in phi2 2.181 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 2.181 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2.181 * [taylor]: Taking taylor expansion of R in phi2 2.181 * [backup-simplify]: Simplify R into R 2.182 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) into (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) 2.182 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in lambda1 2.182 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 2.182 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2.182 * [taylor]: Taking taylor expansion of R in lambda1 2.182 * [backup-simplify]: Simplify R into R 2.183 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) into (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) 2.183 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in lambda2 2.183 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 2.183 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2.183 * [taylor]: Taking taylor expansion of R in lambda2 2.183 * [backup-simplify]: Simplify R into R 2.184 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) into (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) 2.184 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in R 2.184 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in R 2.185 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2.185 * [taylor]: Taking taylor expansion of R in R 2.185 * [backup-simplify]: Simplify 0 into 0 2.185 * [backup-simplify]: Simplify 1 into 1 2.185 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1) into (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2.186 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2.187 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) (/ 0 R)))) into 0 2.187 * [taylor]: Taking taylor expansion of 0 in phi2 2.187 * [backup-simplify]: Simplify 0 into 0 2.187 * [taylor]: Taking taylor expansion of 0 in lambda1 2.187 * [backup-simplify]: Simplify 0 into 0 2.187 * [taylor]: Taking taylor expansion of 0 in lambda2 2.187 * [backup-simplify]: Simplify 0 into 0 2.187 * [taylor]: Taking taylor expansion of 0 in R 2.187 * [backup-simplify]: Simplify 0 into 0 2.187 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) (/ 0 R)))) into 0 2.187 * [taylor]: Taking taylor expansion of 0 in lambda1 2.187 * [backup-simplify]: Simplify 0 into 0 2.187 * [taylor]: Taking taylor expansion of 0 in lambda2 2.187 * [backup-simplify]: Simplify 0 into 0 2.187 * [taylor]: Taking taylor expansion of 0 in R 2.188 * [backup-simplify]: Simplify 0 into 0 2.188 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) (/ 0 R)))) into 0 2.188 * [taylor]: Taking taylor expansion of 0 in lambda2 2.188 * [backup-simplify]: Simplify 0 into 0 2.188 * [taylor]: Taking taylor expansion of 0 in R 2.188 * [backup-simplify]: Simplify 0 into 0 2.189 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) (/ 0 R)))) into 0 2.189 * [taylor]: Taking taylor expansion of 0 in R 2.189 * [backup-simplify]: Simplify 0 into 0 2.190 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) (/ 0 1)))) into 0 2.190 * [backup-simplify]: Simplify 0 into 0 2.191 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 2.191 * [taylor]: Taking taylor expansion of 0 in phi2 2.191 * [backup-simplify]: Simplify 0 into 0 2.191 * [taylor]: Taking taylor expansion of 0 in lambda1 2.191 * [backup-simplify]: Simplify 0 into 0 2.191 * [taylor]: Taking taylor expansion of 0 in lambda2 2.191 * [backup-simplify]: Simplify 0 into 0 2.191 * [taylor]: Taking taylor expansion of 0 in R 2.191 * [backup-simplify]: Simplify 0 into 0 2.191 * [taylor]: Taking taylor expansion of 0 in lambda1 2.191 * [backup-simplify]: Simplify 0 into 0 2.191 * [taylor]: Taking taylor expansion of 0 in lambda2 2.191 * [backup-simplify]: Simplify 0 into 0 2.191 * [taylor]: Taking taylor expansion of 0 in R 2.191 * [backup-simplify]: Simplify 0 into 0 2.192 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 2.192 * [taylor]: Taking taylor expansion of 0 in lambda1 2.192 * [backup-simplify]: Simplify 0 into 0 2.192 * [taylor]: Taking taylor expansion of 0 in lambda2 2.192 * [backup-simplify]: Simplify 0 into 0 2.192 * [taylor]: Taking taylor expansion of 0 in R 2.192 * [backup-simplify]: Simplify 0 into 0 2.192 * [taylor]: Taking taylor expansion of 0 in lambda2 2.192 * [backup-simplify]: Simplify 0 into 0 2.192 * [taylor]: Taking taylor expansion of 0 in R 2.192 * [backup-simplify]: Simplify 0 into 0 2.192 * [taylor]: Taking taylor expansion of 0 in lambda2 2.192 * [backup-simplify]: Simplify 0 into 0 2.192 * [taylor]: Taking taylor expansion of 0 in R 2.192 * [backup-simplify]: Simplify 0 into 0 2.193 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 2.193 * [taylor]: Taking taylor expansion of 0 in lambda2 2.193 * [backup-simplify]: Simplify 0 into 0 2.193 * [taylor]: Taking taylor expansion of 0 in R 2.193 * [backup-simplify]: Simplify 0 into 0 2.193 * [taylor]: Taking taylor expansion of 0 in R 2.193 * [backup-simplify]: Simplify 0 into 0 2.193 * [taylor]: Taking taylor expansion of 0 in R 2.193 * [backup-simplify]: Simplify 0 into 0 2.193 * [taylor]: Taking taylor expansion of 0 in R 2.193 * [backup-simplify]: Simplify 0 into 0 2.194 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 2.194 * [taylor]: Taking taylor expansion of 0 in R 2.194 * [backup-simplify]: Simplify 0 into 0 2.194 * [backup-simplify]: Simplify 0 into 0 2.194 * [backup-simplify]: Simplify 0 into 0 2.194 * [backup-simplify]: Simplify 0 into 0 2.194 * [backup-simplify]: Simplify 0 into 0 2.195 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.195 * [backup-simplify]: Simplify 0 into 0 2.196 * [backup-simplify]: Simplify (* (acos (- (+ (* (sin (/ 1 (/ 1 phi1))) (sin (/ 1 (/ 1 phi2)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi1))) (cos (/ 1 (/ 1 lambda1))))))) (* (sin (/ 1 (/ 1 lambda1))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 phi1))) (sin (- (/ 1 (/ 1 lambda2))))))))) (* (/ 1 (/ 1 R)) (* 1 (* 1 (* 1 1))))) into (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) 2.197 * [backup-simplify]: Simplify (* (acos (+ (cbrt (pow (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) 3)) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))) (/ 1 (- R))) into (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) 2.197 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 2.197 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in R 2.197 * [taylor]: Taking taylor expansion of -1 in R 2.197 * [backup-simplify]: Simplify -1 into -1 2.197 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in R 2.197 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in R 2.198 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2.198 * [taylor]: Taking taylor expansion of R in R 2.198 * [backup-simplify]: Simplify 0 into 0 2.198 * [backup-simplify]: Simplify 1 into 1 2.198 * [backup-simplify]: Simplify (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2.199 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda2 2.199 * [taylor]: Taking taylor expansion of -1 in lambda2 2.199 * [backup-simplify]: Simplify -1 into -1 2.199 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda2 2.199 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 2.199 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2.199 * [taylor]: Taking taylor expansion of R in lambda2 2.199 * [backup-simplify]: Simplify R into R 2.202 * [backup-simplify]: Simplify (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) into (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) 2.202 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda1 2.202 * [taylor]: Taking taylor expansion of -1 in lambda1 2.202 * [backup-simplify]: Simplify -1 into -1 2.202 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda1 2.202 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 2.203 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2.203 * [taylor]: Taking taylor expansion of R in lambda1 2.203 * [backup-simplify]: Simplify R into R 2.203 * [backup-simplify]: Simplify (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) into (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) 2.203 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi2 2.203 * [taylor]: Taking taylor expansion of -1 in phi2 2.203 * [backup-simplify]: Simplify -1 into -1 2.203 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi2 2.203 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 2.204 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2.204 * [taylor]: Taking taylor expansion of R in phi2 2.204 * [backup-simplify]: Simplify R into R 2.204 * [backup-simplify]: Simplify (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) into (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) 2.204 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi1 2.204 * [taylor]: Taking taylor expansion of -1 in phi1 2.204 * [backup-simplify]: Simplify -1 into -1 2.205 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi1 2.205 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 2.205 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2.205 * [taylor]: Taking taylor expansion of R in phi1 2.205 * [backup-simplify]: Simplify R into R 2.206 * [backup-simplify]: Simplify (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) into (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) 2.206 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi1 2.206 * [taylor]: Taking taylor expansion of -1 in phi1 2.206 * [backup-simplify]: Simplify -1 into -1 2.206 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi1 2.206 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 2.206 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2.206 * [taylor]: Taking taylor expansion of R in phi1 2.206 * [backup-simplify]: Simplify R into R 2.207 * [backup-simplify]: Simplify (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) into (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) 2.208 * [backup-simplify]: Simplify (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) into (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) 2.208 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi2 2.208 * [taylor]: Taking taylor expansion of -1 in phi2 2.208 * [backup-simplify]: Simplify -1 into -1 2.208 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi2 2.208 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 2.208 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2.208 * [taylor]: Taking taylor expansion of R in phi2 2.208 * [backup-simplify]: Simplify R into R 2.209 * [backup-simplify]: Simplify (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) into (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) 2.210 * [backup-simplify]: Simplify (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) into (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) 2.210 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda1 2.210 * [taylor]: Taking taylor expansion of -1 in lambda1 2.210 * [backup-simplify]: Simplify -1 into -1 2.210 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda1 2.210 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 2.210 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2.210 * [taylor]: Taking taylor expansion of R in lambda1 2.210 * [backup-simplify]: Simplify R into R 2.211 * [backup-simplify]: Simplify (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) into (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) 2.211 * [backup-simplify]: Simplify (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) into (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) 2.211 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda2 2.211 * [taylor]: Taking taylor expansion of -1 in lambda2 2.211 * [backup-simplify]: Simplify -1 into -1 2.211 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda2 2.211 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 2.212 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2.212 * [taylor]: Taking taylor expansion of R in lambda2 2.212 * [backup-simplify]: Simplify R into R 2.212 * [backup-simplify]: Simplify (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) into (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) 2.213 * [backup-simplify]: Simplify (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) into (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) 2.213 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in R 2.213 * [taylor]: Taking taylor expansion of -1 in R 2.213 * [backup-simplify]: Simplify -1 into -1 2.213 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in R 2.213 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in R 2.214 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2.214 * [taylor]: Taking taylor expansion of R in R 2.214 * [backup-simplify]: Simplify 0 into 0 2.214 * [backup-simplify]: Simplify 1 into 1 2.214 * [backup-simplify]: Simplify (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2.215 * [backup-simplify]: Simplify (* -1 (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) into (* -1 (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) 2.215 * [backup-simplify]: Simplify (* -1 (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) into (* -1 (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) 2.216 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) (/ 0 R)))) into 0 2.217 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R))) into 0 2.217 * [taylor]: Taking taylor expansion of 0 in phi2 2.217 * [backup-simplify]: Simplify 0 into 0 2.217 * [taylor]: Taking taylor expansion of 0 in lambda1 2.217 * [backup-simplify]: Simplify 0 into 0 2.217 * [taylor]: Taking taylor expansion of 0 in lambda2 2.217 * [backup-simplify]: Simplify 0 into 0 2.217 * [taylor]: Taking taylor expansion of 0 in R 2.217 * [backup-simplify]: Simplify 0 into 0 2.218 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) (/ 0 R)))) into 0 2.219 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R))) into 0 2.219 * [taylor]: Taking taylor expansion of 0 in lambda1 2.219 * [backup-simplify]: Simplify 0 into 0 2.219 * [taylor]: Taking taylor expansion of 0 in lambda2 2.219 * [backup-simplify]: Simplify 0 into 0 2.219 * [taylor]: Taking taylor expansion of 0 in R 2.219 * [backup-simplify]: Simplify 0 into 0 2.220 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) (/ 0 R)))) into 0 2.221 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R))) into 0 2.221 * [taylor]: Taking taylor expansion of 0 in lambda2 2.221 * [backup-simplify]: Simplify 0 into 0 2.221 * [taylor]: Taking taylor expansion of 0 in R 2.221 * [backup-simplify]: Simplify 0 into 0 2.221 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) (/ 0 R)))) into 0 2.222 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R))) into 0 2.222 * [taylor]: Taking taylor expansion of 0 in R 2.222 * [backup-simplify]: Simplify 0 into 0 2.223 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) (/ 0 1)))) into 0 2.224 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))))) into 0 2.224 * [backup-simplify]: Simplify 0 into 0 2.225 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 2.226 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)))) into 0 2.226 * [taylor]: Taking taylor expansion of 0 in phi2 2.226 * [backup-simplify]: Simplify 0 into 0 2.226 * [taylor]: Taking taylor expansion of 0 in lambda1 2.226 * [backup-simplify]: Simplify 0 into 0 2.226 * [taylor]: Taking taylor expansion of 0 in lambda2 2.226 * [backup-simplify]: Simplify 0 into 0 2.226 * [taylor]: Taking taylor expansion of 0 in R 2.226 * [backup-simplify]: Simplify 0 into 0 2.226 * [taylor]: Taking taylor expansion of 0 in lambda1 2.226 * [backup-simplify]: Simplify 0 into 0 2.226 * [taylor]: Taking taylor expansion of 0 in lambda2 2.226 * [backup-simplify]: Simplify 0 into 0 2.226 * [taylor]: Taking taylor expansion of 0 in R 2.226 * [backup-simplify]: Simplify 0 into 0 2.227 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 2.228 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)))) into 0 2.228 * [taylor]: Taking taylor expansion of 0 in lambda1 2.228 * [backup-simplify]: Simplify 0 into 0 2.228 * [taylor]: Taking taylor expansion of 0 in lambda2 2.228 * [backup-simplify]: Simplify 0 into 0 2.228 * [taylor]: Taking taylor expansion of 0 in R 2.228 * [backup-simplify]: Simplify 0 into 0 2.228 * [taylor]: Taking taylor expansion of 0 in lambda2 2.228 * [backup-simplify]: Simplify 0 into 0 2.228 * [taylor]: Taking taylor expansion of 0 in R 2.228 * [backup-simplify]: Simplify 0 into 0 2.228 * [taylor]: Taking taylor expansion of 0 in lambda2 2.228 * [backup-simplify]: Simplify 0 into 0 2.228 * [taylor]: Taking taylor expansion of 0 in R 2.228 * [backup-simplify]: Simplify 0 into 0 2.229 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 2.230 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)))) into 0 2.230 * [taylor]: Taking taylor expansion of 0 in lambda2 2.230 * [backup-simplify]: Simplify 0 into 0 2.230 * [taylor]: Taking taylor expansion of 0 in R 2.230 * [backup-simplify]: Simplify 0 into 0 2.230 * [taylor]: Taking taylor expansion of 0 in R 2.230 * [backup-simplify]: Simplify 0 into 0 2.230 * [taylor]: Taking taylor expansion of 0 in R 2.230 * [backup-simplify]: Simplify 0 into 0 2.230 * [taylor]: Taking taylor expansion of 0 in R 2.230 * [backup-simplify]: Simplify 0 into 0 2.231 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 2.232 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)))) into 0 2.232 * [taylor]: Taking taylor expansion of 0 in R 2.232 * [backup-simplify]: Simplify 0 into 0 2.232 * [backup-simplify]: Simplify 0 into 0 2.232 * [backup-simplify]: Simplify 0 into 0 2.232 * [backup-simplify]: Simplify 0 into 0 2.232 * [backup-simplify]: Simplify 0 into 0 2.233 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.234 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))))) into 0 2.235 * [backup-simplify]: Simplify 0 into 0 2.236 * [backup-simplify]: Simplify (* (* -1 (acos (- (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2))))))) (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2)))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (sin (/ 1 (/ 1 (- lambda2)))) (cos (/ -1 (/ 1 (- phi2)))))))))) (* (/ 1 (/ 1 (- R))) (* 1 (* 1 (* 1 1))))) into (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) R) 2.236 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1) 2.236 * [backup-simplify]: Simplify (pow (* (sin phi1) (sin phi2)) 3) into (pow (* (sin phi1) (sin phi2)) 3) 2.236 * [approximate]: Taking taylor expansion of (pow (* (sin phi1) (sin phi2)) 3) in (phi1 phi2) around 0 2.236 * [taylor]: Taking taylor expansion of (pow (* (sin phi1) (sin phi2)) 3) in phi2 2.236 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 2.236 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 2.236 * [taylor]: Taking taylor expansion of phi1 in phi2 2.236 * [backup-simplify]: Simplify phi1 into phi1 2.236 * [backup-simplify]: Simplify (sin phi1) into (sin phi1) 2.236 * [backup-simplify]: Simplify (cos phi1) into (cos phi1) 2.236 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 2.236 * [taylor]: Taking taylor expansion of phi2 in phi2 2.236 * [backup-simplify]: Simplify 0 into 0 2.236 * [backup-simplify]: Simplify 1 into 1 2.236 * [backup-simplify]: Simplify (* (sin phi1) 1) into (sin phi1) 2.236 * [backup-simplify]: Simplify (* (cos phi1) 0) into 0 2.236 * [backup-simplify]: Simplify (+ (sin phi1) 0) into (sin phi1) 2.236 * [backup-simplify]: Simplify (* (sin phi1) 0) into 0 2.237 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 2.237 * [backup-simplify]: Simplify (+ 0) into 0 2.237 * [backup-simplify]: Simplify (+ (* (sin phi1) 0) (* 0 1)) into 0 2.238 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.238 * [backup-simplify]: Simplify (+ (* (cos phi1) 0) (* 0 0)) into 0 2.238 * [backup-simplify]: Simplify (+ 0 0) into 0 2.238 * [backup-simplify]: Simplify (+ (* (sin phi1) 1) (* 0 0)) into (sin phi1) 2.239 * [taylor]: Taking taylor expansion of (pow (* (sin phi1) (sin phi2)) 3) in phi1 2.239 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 2.239 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 2.239 * [taylor]: Taking taylor expansion of phi1 in phi1 2.239 * [backup-simplify]: Simplify 0 into 0 2.239 * [backup-simplify]: Simplify 1 into 1 2.239 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 2.239 * [taylor]: Taking taylor expansion of phi2 in phi1 2.239 * [backup-simplify]: Simplify phi2 into phi2 2.239 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 2.239 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 2.239 * [backup-simplify]: Simplify (* (sin phi2) 1) into (sin phi2) 2.239 * [backup-simplify]: Simplify (* (cos phi2) 0) into 0 2.239 * [backup-simplify]: Simplify (+ (sin phi2) 0) into (sin phi2) 2.239 * [backup-simplify]: Simplify (* 0 (sin phi2)) into 0 2.239 * [backup-simplify]: Simplify (+ 0) into 0 2.239 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (* 0 1)) into 0 2.240 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.240 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (* 0 0)) into 0 2.240 * [backup-simplify]: Simplify (+ 0 0) into 0 2.241 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 2.241 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin phi2))) into (sin phi2) 2.241 * [taylor]: Taking taylor expansion of (pow (* (sin phi1) (sin phi2)) 3) in phi1 2.241 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 2.241 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 2.241 * [taylor]: Taking taylor expansion of phi1 in phi1 2.241 * [backup-simplify]: Simplify 0 into 0 2.241 * [backup-simplify]: Simplify 1 into 1 2.241 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 2.241 * [taylor]: Taking taylor expansion of phi2 in phi1 2.241 * [backup-simplify]: Simplify phi2 into phi2 2.241 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 2.241 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 2.241 * [backup-simplify]: Simplify (* (sin phi2) 1) into (sin phi2) 2.241 * [backup-simplify]: Simplify (* (cos phi2) 0) into 0 2.241 * [backup-simplify]: Simplify (+ (sin phi2) 0) into (sin phi2) 2.241 * [backup-simplify]: Simplify (* 0 (sin phi2)) into 0 2.242 * [backup-simplify]: Simplify (+ 0) into 0 2.242 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (* 0 1)) into 0 2.243 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.243 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (* 0 0)) into 0 2.243 * [backup-simplify]: Simplify (+ 0 0) into 0 2.244 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 2.244 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin phi2))) into (sin phi2) 2.244 * [backup-simplify]: Simplify (* (sin phi2) (sin phi2)) into (pow (sin phi2) 2) 2.244 * [backup-simplify]: Simplify (* (sin phi2) (pow (sin phi2) 2)) into (pow (sin phi2) 3) 2.244 * [taylor]: Taking taylor expansion of (pow (sin phi2) 3) in phi2 2.244 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 2.244 * [taylor]: Taking taylor expansion of phi2 in phi2 2.244 * [backup-simplify]: Simplify 0 into 0 2.244 * [backup-simplify]: Simplify 1 into 1 2.245 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 2.245 * [backup-simplify]: Simplify (* 1 1) into 1 2.245 * [backup-simplify]: Simplify (* 1 1) into 1 2.245 * [backup-simplify]: Simplify 1 into 1 2.246 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.246 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (* 0 1))) into 0 2.247 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.247 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* 0 0))) into 0 2.247 * [backup-simplify]: Simplify (+ 0 0) into 0 2.248 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.248 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin phi2)))) into 0 2.248 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (* 0 (sin phi2))) into 0 2.248 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (* 0 (pow (sin phi2) 2))) into 0 2.248 * [taylor]: Taking taylor expansion of 0 in phi2 2.248 * [backup-simplify]: Simplify 0 into 0 2.248 * [backup-simplify]: Simplify 0 into 0 2.249 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.249 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.250 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.250 * [backup-simplify]: Simplify 0 into 0 2.250 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.251 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.251 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.252 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.252 * [backup-simplify]: Simplify (+ 0 0) into 0 2.253 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 2.254 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin phi2))))) into (- (* 1/6 (sin phi2))) 2.254 * [backup-simplify]: Simplify (+ (* (sin phi2) (- (* 1/6 (sin phi2)))) (+ (* 0 0) (* (- (* 1/6 (sin phi2))) (sin phi2)))) into (- (* 1/3 (pow (sin phi2) 2))) 2.255 * [backup-simplify]: Simplify (+ (* (sin phi2) (- (* 1/3 (pow (sin phi2) 2)))) (+ (* 0 0) (* (- (* 1/6 (sin phi2))) (pow (sin phi2) 2)))) into (- (* 1/2 (pow (sin phi2) 3))) 2.255 * [taylor]: Taking taylor expansion of (- (* 1/2 (pow (sin phi2) 3))) in phi2 2.255 * [taylor]: Taking taylor expansion of (* 1/2 (pow (sin phi2) 3)) in phi2 2.255 * [taylor]: Taking taylor expansion of 1/2 in phi2 2.255 * [backup-simplify]: Simplify 1/2 into 1/2 2.255 * [taylor]: Taking taylor expansion of (pow (sin phi2) 3) in phi2 2.255 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 2.255 * [taylor]: Taking taylor expansion of phi2 in phi2 2.255 * [backup-simplify]: Simplify 0 into 0 2.255 * [backup-simplify]: Simplify 1 into 1 2.255 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 2.256 * [backup-simplify]: Simplify (* 1 1) into 1 2.256 * [backup-simplify]: Simplify (* 1 1) into 1 2.256 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 2.256 * [backup-simplify]: Simplify (- 1/2) into -1/2 2.256 * [backup-simplify]: Simplify -1/2 into -1/2 2.256 * [backup-simplify]: Simplify 0 into 0 2.257 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 2.258 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3 2.258 * [backup-simplify]: Simplify (+ (* 1 -1/3) (+ (* 0 0) (* -1/6 1))) into -1/2 2.258 * [backup-simplify]: Simplify -1/2 into -1/2 2.259 * [backup-simplify]: Simplify (+ (* -1/2 (* (pow phi2 5) (pow phi1 3))) (+ (* -1/2 (* (pow phi2 3) (pow phi1 5))) (* 1 (pow (* phi2 phi1) 3)))) into (- (* (pow phi2 3) (pow phi1 3)) (+ (* 1/2 (* (pow phi2 5) (pow phi1 3))) (* 1/2 (* (pow phi2 3) (pow phi1 5))))) 2.259 * [backup-simplify]: Simplify (pow (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 3) into (pow (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 3) 2.259 * [approximate]: Taking taylor expansion of (pow (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 3) in (phi1 phi2) around 0 2.259 * [taylor]: Taking taylor expansion of (pow (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 3) in phi2 2.259 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 2.259 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 2.259 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 2.259 * [taylor]: Taking taylor expansion of phi1 in phi2 2.259 * [backup-simplify]: Simplify phi1 into phi1 2.259 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 2.259 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 2.259 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 2.259 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 2.259 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 2.259 * [taylor]: Taking taylor expansion of phi2 in phi2 2.259 * [backup-simplify]: Simplify 0 into 0 2.259 * [backup-simplify]: Simplify 1 into 1 2.260 * [backup-simplify]: Simplify (/ 1 1) into 1 2.260 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 2.260 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 1) into (sin (/ 1 phi1)) 2.260 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 0) into 0 2.260 * [backup-simplify]: Simplify (+ (sin (/ 1 phi1)) 0) into (sin (/ 1 phi1)) 2.260 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 2.260 * [taylor]: Taking taylor expansion of (pow (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 3) in phi1 2.260 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 2.260 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 2.260 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 2.260 * [taylor]: Taking taylor expansion of phi1 in phi1 2.260 * [backup-simplify]: Simplify 0 into 0 2.260 * [backup-simplify]: Simplify 1 into 1 2.260 * [backup-simplify]: Simplify (/ 1 1) into 1 2.260 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 2.260 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 2.260 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 2.260 * [taylor]: Taking taylor expansion of phi2 in phi1 2.261 * [backup-simplify]: Simplify phi2 into phi2 2.261 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 2.261 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 2.261 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 2.261 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 1) into (sin (/ 1 phi2)) 2.261 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 0) into 0 2.261 * [backup-simplify]: Simplify (+ (sin (/ 1 phi2)) 0) into (sin (/ 1 phi2)) 2.261 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 2.261 * [taylor]: Taking taylor expansion of (pow (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 3) in phi1 2.261 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 2.261 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 2.261 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 2.261 * [taylor]: Taking taylor expansion of phi1 in phi1 2.261 * [backup-simplify]: Simplify 0 into 0 2.261 * [backup-simplify]: Simplify 1 into 1 2.261 * [backup-simplify]: Simplify (/ 1 1) into 1 2.261 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 2.261 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 2.261 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 2.261 * [taylor]: Taking taylor expansion of phi2 in phi1 2.261 * [backup-simplify]: Simplify phi2 into phi2 2.261 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 2.261 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 2.262 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 2.262 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 1) into (sin (/ 1 phi2)) 2.262 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 0) into 0 2.262 * [backup-simplify]: Simplify (+ (sin (/ 1 phi2)) 0) into (sin (/ 1 phi2)) 2.262 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 2.262 * [backup-simplify]: Simplify (* (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) into (* (pow (sin (/ 1 phi1)) 2) (pow (sin (/ 1 phi2)) 2)) 2.262 * [backup-simplify]: Simplify (* (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (pow (sin (/ 1 phi1)) 2) (pow (sin (/ 1 phi2)) 2))) into (* (pow (sin (/ 1 phi1)) 3) (pow (sin (/ 1 phi2)) 3)) 2.262 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 phi1)) 3) (pow (sin (/ 1 phi2)) 3)) in phi2 2.262 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 phi1)) 3) in phi2 2.262 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 2.262 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 2.262 * [taylor]: Taking taylor expansion of phi1 in phi2 2.262 * [backup-simplify]: Simplify phi1 into phi1 2.262 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 2.262 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 2.263 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 2.263 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 1) into (sin (/ 1 phi1)) 2.263 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 0) into 0 2.263 * [backup-simplify]: Simplify (+ (sin (/ 1 phi1)) 0) into (sin (/ 1 phi1)) 2.263 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 phi2)) 3) in phi2 2.263 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 2.263 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 2.263 * [taylor]: Taking taylor expansion of phi2 in phi2 2.263 * [backup-simplify]: Simplify 0 into 0 2.263 * [backup-simplify]: Simplify 1 into 1 2.263 * [backup-simplify]: Simplify (/ 1 1) into 1 2.263 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 2.263 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi1))) into (pow (sin (/ 1 phi1)) 2) 2.263 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (pow (sin (/ 1 phi1)) 2)) into (pow (sin (/ 1 phi1)) 3) 2.263 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi2))) into (pow (sin (/ 1 phi2)) 2) 2.264 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (pow (sin (/ 1 phi2)) 2)) into (pow (sin (/ 1 phi2)) 3) 2.264 * [backup-simplify]: Simplify (* (pow (sin (/ 1 phi1)) 3) (pow (sin (/ 1 phi2)) 3)) into (* (pow (sin (/ 1 phi1)) 3) (pow (sin (/ 1 phi2)) 3)) 2.264 * [backup-simplify]: Simplify (* (pow (sin (/ 1 phi1)) 3) (pow (sin (/ 1 phi2)) 3)) into (* (pow (sin (/ 1 phi1)) 3) (pow (sin (/ 1 phi2)) 3)) 2.264 * [backup-simplify]: Simplify (+ 0) into 0 2.265 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 1)) into 0 2.265 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 2.265 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.265 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 0)) into 0 2.266 * [backup-simplify]: Simplify (+ 0 0) into 0 2.266 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 (sin (/ 1 phi2)))) into 0 2.266 * [backup-simplify]: Simplify (+ (* (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 0) (* 0 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) into 0 2.266 * [backup-simplify]: Simplify (+ (* (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 0) (* 0 (* (pow (sin (/ 1 phi1)) 2) (pow (sin (/ 1 phi2)) 2)))) into 0 2.266 * [taylor]: Taking taylor expansion of 0 in phi2 2.266 * [backup-simplify]: Simplify 0 into 0 2.266 * [backup-simplify]: Simplify 0 into 0 2.266 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi2)))) into 0 2.267 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (pow (sin (/ 1 phi2)) 2))) into 0 2.267 * [backup-simplify]: Simplify (+ 0) into 0 2.267 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 1)) into 0 2.267 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 2.268 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.268 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 0)) into 0 2.268 * [backup-simplify]: Simplify (+ 0 0) into 0 2.268 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 (sin (/ 1 phi1)))) into 0 2.268 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 (pow (sin (/ 1 phi1)) 2))) into 0 2.269 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 phi1)) 3) 0) (* 0 (pow (sin (/ 1 phi2)) 3))) into 0 2.269 * [backup-simplify]: Simplify 0 into 0 2.269 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.270 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 2.270 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 2.270 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.271 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 2.271 * [backup-simplify]: Simplify (+ 0 0) into 0 2.271 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi2))))) into 0 2.272 * [backup-simplify]: Simplify (+ (* (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 0) (+ (* 0 0) (* 0 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) into 0 2.272 * [backup-simplify]: Simplify (+ (* (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 0) (+ (* 0 0) (* 0 (* (pow (sin (/ 1 phi1)) 2) (pow (sin (/ 1 phi2)) 2))))) into 0 2.272 * [taylor]: Taking taylor expansion of 0 in phi2 2.272 * [backup-simplify]: Simplify 0 into 0 2.272 * [backup-simplify]: Simplify 0 into 0 2.272 * [backup-simplify]: Simplify 0 into 0 2.273 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi2))))) into 0 2.273 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (pow (sin (/ 1 phi2)) 2)))) into 0 2.274 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.274 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 2.274 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 2.275 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.275 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 2.275 * [backup-simplify]: Simplify (+ 0 0) into 0 2.276 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0 2.276 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 (pow (sin (/ 1 phi1)) 2)))) into 0 2.276 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 phi1)) 3) 0) (+ (* 0 0) (* 0 (pow (sin (/ 1 phi2)) 3)))) into 0 2.277 * [backup-simplify]: Simplify 0 into 0 2.277 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.278 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.278 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 2.279 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.279 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.279 * [backup-simplify]: Simplify (+ 0 0) into 0 2.280 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 phi2)))))) into 0 2.280 * [backup-simplify]: Simplify (+ (* (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))))) into 0 2.281 * [backup-simplify]: Simplify (+ (* (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow (sin (/ 1 phi1)) 2) (pow (sin (/ 1 phi2)) 2)))))) into 0 2.281 * [taylor]: Taking taylor expansion of 0 in phi2 2.281 * [backup-simplify]: Simplify 0 into 0 2.281 * [backup-simplify]: Simplify 0 into 0 2.281 * [backup-simplify]: Simplify (* (pow (sin (/ 1 (/ 1 phi1))) 3) (pow (sin (/ 1 (/ 1 phi2))) 3)) into (* (pow (sin phi1) 3) (pow (sin phi2) 3)) 2.282 * [backup-simplify]: Simplify (pow (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) 3) into (pow (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 3) 2.282 * [approximate]: Taking taylor expansion of (pow (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 3) in (phi1 phi2) around 0 2.282 * [taylor]: Taking taylor expansion of (pow (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 3) in phi2 2.282 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 2.282 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 2.282 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 2.282 * [taylor]: Taking taylor expansion of -1 in phi2 2.282 * [backup-simplify]: Simplify -1 into -1 2.282 * [taylor]: Taking taylor expansion of phi1 in phi2 2.282 * [backup-simplify]: Simplify phi1 into phi1 2.282 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 2.282 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 2.282 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 2.282 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 2.282 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 2.282 * [taylor]: Taking taylor expansion of -1 in phi2 2.282 * [backup-simplify]: Simplify -1 into -1 2.282 * [taylor]: Taking taylor expansion of phi2 in phi2 2.282 * [backup-simplify]: Simplify 0 into 0 2.282 * [backup-simplify]: Simplify 1 into 1 2.282 * [backup-simplify]: Simplify (/ -1 1) into -1 2.282 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 2.282 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 1) into (sin (/ -1 phi1)) 2.282 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 0) into 0 2.282 * [backup-simplify]: Simplify (+ (sin (/ -1 phi1)) 0) into (sin (/ -1 phi1)) 2.283 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 2.283 * [taylor]: Taking taylor expansion of (pow (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 3) in phi1 2.283 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 2.283 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 2.283 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 2.283 * [taylor]: Taking taylor expansion of -1 in phi1 2.283 * [backup-simplify]: Simplify -1 into -1 2.283 * [taylor]: Taking taylor expansion of phi1 in phi1 2.283 * [backup-simplify]: Simplify 0 into 0 2.283 * [backup-simplify]: Simplify 1 into 1 2.283 * [backup-simplify]: Simplify (/ -1 1) into -1 2.283 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 2.283 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 2.283 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 2.283 * [taylor]: Taking taylor expansion of -1 in phi1 2.283 * [backup-simplify]: Simplify -1 into -1 2.283 * [taylor]: Taking taylor expansion of phi2 in phi1 2.283 * [backup-simplify]: Simplify phi2 into phi2 2.283 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 2.283 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 2.283 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 2.283 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 1) into (sin (/ -1 phi2)) 2.283 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 0) into 0 2.283 * [backup-simplify]: Simplify (+ (sin (/ -1 phi2)) 0) into (sin (/ -1 phi2)) 2.284 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 2.284 * [taylor]: Taking taylor expansion of (pow (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 3) in phi1 2.284 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 2.284 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 2.284 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 2.284 * [taylor]: Taking taylor expansion of -1 in phi1 2.284 * [backup-simplify]: Simplify -1 into -1 2.284 * [taylor]: Taking taylor expansion of phi1 in phi1 2.284 * [backup-simplify]: Simplify 0 into 0 2.284 * [backup-simplify]: Simplify 1 into 1 2.284 * [backup-simplify]: Simplify (/ -1 1) into -1 2.284 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 2.284 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 2.284 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 2.284 * [taylor]: Taking taylor expansion of -1 in phi1 2.284 * [backup-simplify]: Simplify -1 into -1 2.284 * [taylor]: Taking taylor expansion of phi2 in phi1 2.284 * [backup-simplify]: Simplify phi2 into phi2 2.284 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 2.284 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 2.284 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 2.284 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 1) into (sin (/ -1 phi2)) 2.284 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 0) into 0 2.284 * [backup-simplify]: Simplify (+ (sin (/ -1 phi2)) 0) into (sin (/ -1 phi2)) 2.285 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 2.285 * [backup-simplify]: Simplify (* (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) into (* (pow (sin (/ -1 phi1)) 2) (pow (sin (/ -1 phi2)) 2)) 2.285 * [backup-simplify]: Simplify (* (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (pow (sin (/ -1 phi1)) 2) (pow (sin (/ -1 phi2)) 2))) into (* (pow (sin (/ -1 phi1)) 3) (pow (sin (/ -1 phi2)) 3)) 2.285 * [taylor]: Taking taylor expansion of (* (pow (sin (/ -1 phi1)) 3) (pow (sin (/ -1 phi2)) 3)) in phi2 2.285 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 phi1)) 3) in phi2 2.285 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 2.285 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 2.285 * [taylor]: Taking taylor expansion of -1 in phi2 2.285 * [backup-simplify]: Simplify -1 into -1 2.285 * [taylor]: Taking taylor expansion of phi1 in phi2 2.285 * [backup-simplify]: Simplify phi1 into phi1 2.285 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 2.285 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 2.285 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 2.285 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 1) into (sin (/ -1 phi1)) 2.285 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 0) into 0 2.285 * [backup-simplify]: Simplify (+ (sin (/ -1 phi1)) 0) into (sin (/ -1 phi1)) 2.286 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 phi2)) 3) in phi2 2.286 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 2.286 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 2.286 * [taylor]: Taking taylor expansion of -1 in phi2 2.286 * [backup-simplify]: Simplify -1 into -1 2.286 * [taylor]: Taking taylor expansion of phi2 in phi2 2.286 * [backup-simplify]: Simplify 0 into 0 2.286 * [backup-simplify]: Simplify 1 into 1 2.286 * [backup-simplify]: Simplify (/ -1 1) into -1 2.286 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 2.286 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi1))) into (pow (sin (/ -1 phi1)) 2) 2.286 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (pow (sin (/ -1 phi1)) 2)) into (pow (sin (/ -1 phi1)) 3) 2.286 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) (sin (/ -1 phi2))) into (pow (sin (/ -1 phi2)) 2) 2.286 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) (pow (sin (/ -1 phi2)) 2)) into (pow (sin (/ -1 phi2)) 3) 2.287 * [backup-simplify]: Simplify (* (pow (sin (/ -1 phi1)) 3) (pow (sin (/ -1 phi2)) 3)) into (* (pow (sin (/ -1 phi1)) 3) (pow (sin (/ -1 phi2)) 3)) 2.287 * [backup-simplify]: Simplify (* (pow (sin (/ -1 phi1)) 3) (pow (sin (/ -1 phi2)) 3)) into (* (pow (sin (/ -1 phi1)) 3) (pow (sin (/ -1 phi2)) 3)) 2.287 * [backup-simplify]: Simplify (+ 0) into 0 2.287 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 1)) into 0 2.288 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0 2.288 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.288 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 0)) into 0 2.288 * [backup-simplify]: Simplify (+ 0 0) into 0 2.289 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 2.289 * [backup-simplify]: Simplify (+ (* (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 0) (* 0 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) into 0 2.289 * [backup-simplify]: Simplify (+ (* (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 0) (* 0 (* (pow (sin (/ -1 phi1)) 2) (pow (sin (/ -1 phi2)) 2)))) into 0 2.289 * [taylor]: Taking taylor expansion of 0 in phi2 2.289 * [backup-simplify]: Simplify 0 into 0 2.289 * [backup-simplify]: Simplify 0 into 0 2.289 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 (sin (/ -1 phi2)))) into 0 2.289 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 (pow (sin (/ -1 phi2)) 2))) into 0 2.290 * [backup-simplify]: Simplify (+ 0) into 0 2.290 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 1)) into 0 2.290 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0 2.293 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.294 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 0)) into 0 2.294 * [backup-simplify]: Simplify (+ 0 0) into 0 2.294 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi1)))) into 0 2.294 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (pow (sin (/ -1 phi1)) 2))) into 0 2.294 * [backup-simplify]: Simplify (+ (* (pow (sin (/ -1 phi1)) 3) 0) (* 0 (pow (sin (/ -1 phi2)) 3))) into 0 2.294 * [backup-simplify]: Simplify 0 into 0 2.295 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.295 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 2.295 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 2.296 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.296 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 2.296 * [backup-simplify]: Simplify (+ 0 0) into 0 2.297 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 2.297 * [backup-simplify]: Simplify (+ (* (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 0) (+ (* 0 0) (* 0 (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into 0 2.298 * [backup-simplify]: Simplify (+ (* (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 0) (+ (* 0 0) (* 0 (* (pow (sin (/ -1 phi1)) 2) (pow (sin (/ -1 phi2)) 2))))) into 0 2.298 * [taylor]: Taking taylor expansion of 0 in phi2 2.298 * [backup-simplify]: Simplify 0 into 0 2.298 * [backup-simplify]: Simplify 0 into 0 2.298 * [backup-simplify]: Simplify 0 into 0 2.298 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 2.298 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 phi2)) 2)))) into 0 2.299 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.299 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 2.300 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 2.300 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.300 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 2.301 * [backup-simplify]: Simplify (+ 0 0) into 0 2.301 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi1))))) into 0 2.301 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 phi1)) 2)))) into 0 2.302 * [backup-simplify]: Simplify (+ (* (pow (sin (/ -1 phi1)) 3) 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 phi2)) 3)))) into 0 2.302 * [backup-simplify]: Simplify 0 into 0 2.302 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.303 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.303 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 2.304 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.304 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.304 * [backup-simplify]: Simplify (+ 0 0) into 0 2.305 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2)))))) into 0 2.306 * [backup-simplify]: Simplify (+ (* (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) into 0 2.306 * [backup-simplify]: Simplify (+ (* (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow (sin (/ -1 phi1)) 2) (pow (sin (/ -1 phi2)) 2)))))) into 0 2.306 * [taylor]: Taking taylor expansion of 0 in phi2 2.306 * [backup-simplify]: Simplify 0 into 0 2.306 * [backup-simplify]: Simplify 0 into 0 2.307 * [backup-simplify]: Simplify (* (pow (sin (/ -1 (/ 1 (- phi1)))) 3) (pow (sin (/ -1 (/ 1 (- phi2)))) 3)) into (* (pow (sin phi1) 3) (pow (sin phi2) 3)) 2.307 * * * [progress]: simplifying candidates 2.308 * [simplify]: Simplifying: (log (cbrt (pow (* (sin phi1) (sin phi2)) 3))) (exp (cbrt (pow (* (sin phi1) (sin phi2)) 3))) (cbrt (pow (sin phi1) 3)) (cbrt (pow (sin phi2) 3)) (cbrt (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (cbrt (cbrt (pow (* (sin phi1) (sin phi2)) 3))) (cbrt (pow (sin phi1) 3)) (cbrt (pow (sin phi2) 3)) (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)))) (cbrt (sqrt (pow (* (sin phi1) (sin phi2)) 3))) (cbrt (sqrt (pow (* (sin phi1) (sin phi2)) 3))) (cbrt 1) (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (cbrt (pow (* (sin phi1) (sin phi2)) (/ 3 2))) (cbrt (pow (* (sin phi1) (sin phi2)) (/ 3 2))) (cbrt (pow (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) 3)) (cbrt (pow 2 3)) (* (cbrt (cbrt (pow (* (sin phi1) (sin phi2)) 3))) (cbrt (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (cbrt (cbrt (pow (* (sin phi1) (sin phi2)) 3))) (* (* (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (cbrt (pow (* (sin phi1) (sin phi2)) 3))) (cbrt (pow (* (sin phi1) (sin phi2)) 3))) (sqrt (cbrt (pow (* (sin phi1) (sin phi2)) 3))) (sqrt (cbrt (pow (* (sin phi1) (sin phi2)) 3))) (/ PI 2) (asin (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (log (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (exp (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (* (cbrt (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (cbrt (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (cbrt (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (* (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) (+ (log (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (log R)) (log (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (exp (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (* (* (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (* (* R R) R)) (* (cbrt (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (cbrt (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R))) (cbrt (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (* (* (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (sqrt (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (sqrt (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (* (sqrt (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt R)) (* (sqrt (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt R)) (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (* (cbrt R) (cbrt R))) (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (sqrt R)) (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) 1) (* (cbrt (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) R) (* (sqrt (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) R) (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) (* (+ (log (sin phi1)) (log (sin phi2))) 3) (* (log (* (sin phi1) (sin phi2))) 3) (* (log (* (sin phi1) (sin phi2))) 3) (* 1 3) (* 1 3) (pow (* (sin phi1) (sin phi2)) (* (cbrt 3) (cbrt 3))) (pow (* (sin phi1) (sin phi2)) (sqrt 3)) (pow (* (sin phi1) (sin phi2)) 1) (pow (sin phi1) 3) (pow (sin phi2) 3) (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (log (pow (* (sin phi1) (sin phi2)) 3)) (exp (pow (* (sin phi1) (sin phi2)) 3)) (* (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (cbrt (pow (* (sin phi1) (sin phi2)) 3))) (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (pow (* (sin phi1) (sin phi2)) 3) (pow (* (sin phi1) (sin phi2)) 3)) (pow (* (sin phi1) (sin phi2)) 3)) (pow (sin phi1) 3) (pow (sin phi2) 3) (pow (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) 3) (pow 2 3) (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (sqrt (pow (* (sin phi1) (sin phi2)) 3)) (sqrt (pow (* (sin phi1) (sin phi2)) 3)) (pow (* (sin phi1) (sin phi2)) (/ 3 2)) (pow (* (sin phi1) (sin phi2)) (/ 3 2)) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) R) (- (* (pow phi2 3) (pow phi1 3)) (+ (* 1/2 (* (pow phi2 5) (pow phi1 3))) (* 1/2 (* (pow phi2 3) (pow phi1 5))))) (* (pow (sin phi1) 3) (pow (sin phi2) 3)) (* (pow (sin phi1) 3) (pow (sin phi2) 3)) 2.308 * [simplify]: Sending expressions to egg_math: (log (cbrt (pow (* (sin h1) (sin h0)) 3))) (exp (cbrt (pow (* (sin h1) (sin h0)) 3))) (cbrt (pow (sin h1) 3)) (cbrt (pow (sin h0) 3)) (cbrt (* (* (sin h1) (sin h0)) (* (sin h1) (sin h0)))) (cbrt (* (sin h1) (sin h0))) (cbrt (* (cbrt (pow (* (sin h1) (sin h0)) 3)) (cbrt (pow (* (sin h1) (sin h0)) 3)))) (cbrt (cbrt (pow (* (sin h1) (sin h0)) 3))) (cbrt (pow (sin h1) 3)) (cbrt (pow (sin h0) 3)) (cbrt (* (sin h1) (sin h0))) (cbrt (* (* (sin h1) (sin h0)) (* (sin h1) (sin h0)))) (cbrt (sqrt (pow (* (sin h1) (sin h0)) 3))) (cbrt (sqrt (pow (* (sin h1) (sin h0)) 3))) (cbrt 1) (cbrt (pow (* (sin h1) (sin h0)) 3)) (cbrt (pow (* (sin h1) (sin h0)) (/ 3 2))) (cbrt (pow (* (sin h1) (sin h0)) (/ 3 2))) (cbrt (pow (- (cos (- h1 h0)) (cos (+ h1 h0))) 3)) (cbrt (pow 2 3)) (* (cbrt (cbrt (pow (* (sin h1) (sin h0)) 3))) (cbrt (cbrt (pow (* (sin h1) (sin h0)) 3)))) (cbrt (cbrt (pow (* (sin h1) (sin h0)) 3))) (* (* (cbrt (pow (* (sin h1) (sin h0)) 3)) (cbrt (pow (* (sin h1) (sin h0)) 3))) (cbrt (pow (* (sin h1) (sin h0)) 3))) (sqrt (cbrt (pow (* (sin h1) (sin h0)) 3))) (sqrt (cbrt (pow (* (sin h1) (sin h0)) 3))) (/ h2 2) (asin (+ (cbrt (pow (* (sin h1) (sin h0)) 3)) (* (* (cos h1) (cos h0)) (- (* (cos h4) (cos h3)) (* (sin h4) (sin (- h3))))))) (log (acos (+ (cbrt (pow (* (sin h1) (sin h0)) 3)) (* (* (cos h1) (cos h0)) (- (* (cos h4) (cos h3)) (* (sin h4) (sin (- h3)))))))) (exp (acos (+ (cbrt (pow (* (sin h1) (sin h0)) 3)) (* (* (cos h1) (cos h0)) (- (* (cos h4) (cos h3)) (* (sin h4) (sin (- h3)))))))) (* (cbrt (acos (+ (cbrt (pow (* (sin h1) (sin h0)) 3)) (* (* (cos h1) (cos h0)) (- (* (cos h4) (cos h3)) (* (sin h4) (sin (- h3)))))))) (cbrt (acos (+ (cbrt (pow (* (sin h1) (sin h0)) 3)) (* (* (cos h1) (cos h0)) (- (* (cos h4) (cos h3)) (* (sin h4) (sin (- h3))))))))) (cbrt (acos (+ (cbrt (pow (* (sin h1) (sin h0)) 3)) (* (* (cos h1) (cos h0)) (- (* (cos h4) (cos h3)) (* (sin h4) (sin (- h3)))))))) (* (* (acos (+ (cbrt (pow (* (sin h1) (sin h0)) 3)) (* (* (cos h1) (cos h0)) (- (* (cos h4) (cos h3)) (* (sin h4) (sin (- h3))))))) (acos (+ (cbrt (pow (* (sin h1) (sin h0)) 3)) (* (* (cos h1) (cos h0)) (- (* (cos h4) (cos h3)) (* (sin h4) (sin (- h3)))))))) (acos (+ (cbrt (pow (* (sin h1) (sin h0)) 3)) (* (* (cos h1) (cos h0)) (- (* (cos h4) (cos h3)) (* (sin h4) (sin (- h3)))))))) (sqrt (acos (+ (cbrt (pow (* (sin h1) (sin h0)) 3)) (* (* (cos h1) (cos h0)) (- (* (cos h4) (cos h3)) (* (sin h4) (sin (- h3)))))))) (sqrt (acos (+ (cbrt (pow (* (sin h1) (sin h0)) 3)) (* (* (cos h1) (cos h0)) (- (* (cos h4) (cos h3)) (* (sin h4) (sin (- h3)))))))) (* (acos (+ (cbrt (pow (* (sin h1) (sin h0)) 3)) (* (* (cos h1) (cos h0)) (- (* (cos h4) (cos h3)) (* (sin h4) (sin (- h3))))))) h5) (+ (log (acos (+ (cbrt (pow (* (sin h1) (sin h0)) 3)) (* (* (cos h1) (cos h0)) (- (* (cos h4) (cos h3)) (* (sin h4) (sin (- h3)))))))) (log h5)) (log (* (acos (+ (cbrt (pow (* (sin h1) (sin h0)) 3)) (* (* (cos h1) (cos h0)) (- (* (cos h4) (cos h3)) (* (sin h4) (sin (- h3))))))) h5)) (exp (* (acos (+ (cbrt (pow (* (sin h1) (sin h0)) 3)) (* (* (cos h1) (cos h0)) (- (* (cos h4) (cos h3)) (* (sin h4) (sin (- h3))))))) h5)) (* (* (* (acos (+ (cbrt (pow (* (sin h1) (sin h0)) 3)) (* (* (cos h1) (cos h0)) (- (* (cos h4) (cos h3)) (* (sin h4) (sin (- h3))))))) (acos (+ (cbrt (pow (* (sin h1) (sin h0)) 3)) (* (* (cos h1) (cos h0)) (- (* (cos h4) (cos h3)) (* (sin h4) (sin (- h3)))))))) (acos (+ (cbrt (pow (* (sin h1) (sin h0)) 3)) (* (* (cos h1) (cos h0)) (- (* (cos h4) (cos h3)) (* (sin h4) (sin (- h3)))))))) (* (* h5 h5) h5)) (* (cbrt (* (acos (+ (cbrt (pow (* (sin h1) (sin h0)) 3)) (* (* (cos h1) (cos h0)) (- (* (cos h4) (cos h3)) (* (sin h4) (sin (- h3))))))) h5)) (cbrt (* (acos (+ (cbrt (pow (* (sin h1) (sin h0)) 3)) (* (* (cos h1) (cos h0)) (- (* (cos h4) (cos h3)) (* (sin h4) (sin (- h3))))))) h5))) (cbrt (* (acos (+ (cbrt (pow (* (sin h1) (sin h0)) 3)) (* (* (cos h1) (cos h0)) (- (* (cos h4) (cos h3)) (* (sin h4) (sin (- h3))))))) h5)) (* (* (* (acos (+ (cbrt (pow (* (sin h1) (sin h0)) 3)) (* (* (cos h1) (cos h0)) (- (* (cos h4) (cos h3)) (* (sin h4) (sin (- h3))))))) h5) (* (acos (+ (cbrt (pow (* (sin h1) (sin h0)) 3)) (* (* (cos h1) (cos h0)) (- (* (cos h4) (cos h3)) (* (sin h4) (sin (- h3))))))) h5)) (* (acos (+ (cbrt (pow (* (sin h1) (sin h0)) 3)) (* (* (cos h1) (cos h0)) (- (* (cos h4) (cos h3)) (* (sin h4) (sin (- h3))))))) h5)) (sqrt (* (acos (+ (cbrt (pow (* (sin h1) (sin h0)) 3)) (* (* (cos h1) (cos h0)) (- (* (cos h4) (cos h3)) (* (sin h4) (sin (- h3))))))) h5)) (sqrt (* (acos (+ (cbrt (pow (* (sin h1) (sin h0)) 3)) (* (* (cos h1) (cos h0)) (- (* (cos h4) (cos h3)) (* (sin h4) (sin (- h3))))))) h5)) (* (sqrt (acos (+ (cbrt (pow (* (sin h1) (sin h0)) 3)) (* (* (cos h1) (cos h0)) (- (* (cos h4) (cos h3)) (* (sin h4) (sin (- h3)))))))) (sqrt h5)) (* (sqrt (acos (+ (cbrt (pow (* (sin h1) (sin h0)) 3)) (* (* (cos h1) (cos h0)) (- (* (cos h4) (cos h3)) (* (sin h4) (sin (- h3)))))))) (sqrt h5)) (* (acos (+ (cbrt (pow (* (sin h1) (sin h0)) 3)) (* (* (cos h1) (cos h0)) (- (* (cos h4) (cos h3)) (* (sin h4) (sin (- h3))))))) (* (cbrt h5) (cbrt h5))) (* (acos (+ (cbrt (pow (* (sin h1) (sin h0)) 3)) (* (* (cos h1) (cos h0)) (- (* (cos h4) (cos h3)) (* (sin h4) (sin (- h3))))))) (sqrt h5)) (* (acos (+ (cbrt (pow (* (sin h1) (sin h0)) 3)) (* (* (cos h1) (cos h0)) (- (* (cos h4) (cos h3)) (* (sin h4) (sin (- h3))))))) 1) (* (cbrt (acos (+ (cbrt (pow (* (sin h1) (sin h0)) 3)) (* (* (cos h1) (cos h0)) (- (* (cos h4) (cos h3)) (* (sin h4) (sin (- h3)))))))) h5) (* (sqrt (acos (+ (cbrt (pow (* (sin h1) (sin h0)) 3)) (* (* (cos h1) (cos h0)) (- (* (cos h4) (cos h3)) (* (sin h4) (sin (- h3)))))))) h5) (* (acos (+ (cbrt (pow (* (sin h1) (sin h0)) 3)) (* (* (cos h1) (cos h0)) (- (* (cos h4) (cos h3)) (* (sin h4) (sin (- h3))))))) h5) (* (+ (log (sin h1)) (log (sin h0))) 3) (* (log (* (sin h1) (sin h0))) 3) (* (log (* (sin h1) (sin h0))) 3) (* 1 3) (* 1 3) (pow (* (sin h1) (sin h0)) (* (cbrt 3) (cbrt 3))) (pow (* (sin h1) (sin h0)) (sqrt 3)) (pow (* (sin h1) (sin h0)) 1) (pow (sin h1) 3) (pow (sin h0) 3) (* (* (sin h1) (sin h0)) (* (sin h1) (sin h0))) (log (pow (* (sin h1) (sin h0)) 3)) (exp (pow (* (sin h1) (sin h0)) 3)) (* (cbrt (pow (* (sin h1) (sin h0)) 3)) (cbrt (pow (* (sin h1) (sin h0)) 3))) (cbrt (pow (* (sin h1) (sin h0)) 3)) (* (* (pow (* (sin h1) (sin h0)) 3) (pow (* (sin h1) (sin h0)) 3)) (pow (* (sin h1) (sin h0)) 3)) (pow (sin h1) 3) (pow (sin h0) 3) (pow (- (cos (- h1 h0)) (cos (+ h1 h0))) 3) (pow 2 3) (* (* (sin h1) (sin h0)) (* (sin h1) (sin h0))) (sqrt (pow (* (sin h1) (sin h0)) 3)) (sqrt (pow (* (sin h1) (sin h0)) 3)) (pow (* (sin h1) (sin h0)) (/ 3 2)) (pow (* (sin h1) (sin h0)) (/ 3 2)) (* h0 h1) (* (sin h1) (sin h0)) (* (sin h1) (sin h0)) (acos (- (+ (* (sin h1) (sin h0)) (* (cos h4) (* (cos h1) (* (cos h0) (cos h3))))) (* (sin h4) (* (cos h1) (* (cos h0) (sin (- h3))))))) (acos (- (+ (* (sin h1) (sin h0)) (* (cos h4) (* (cos h1) (* (cos h0) (cos h3))))) (* (sin h4) (* (cos h1) (* (cos h0) (sin (- h3))))))) (acos (- (+ (* (sin h1) (sin h0)) (* (cos h4) (* (cos h1) (* (cos h0) (cos h3))))) (* (sin h4) (* (cos h1) (* (cos h0) (sin (* -1 h3))))))) (* (acos (- (+ (* (sin h1) (sin h0)) (* (cos h4) (* (cos h1) (* (cos h0) (cos h3))))) (* (sin h4) (* (cos h1) (* (cos h0) (sin (- h3))))))) h5) (* (acos (- (+ (* (sin h1) (sin h0)) (* (cos h4) (* (cos h1) (* (cos h0) (cos h3))))) (* (sin h4) (* (cos h1) (* (cos h0) (sin (- h3))))))) h5) (* (acos (- (+ (* (sin h1) (sin h0)) (* (cos h4) (* (cos h1) (* (cos h0) (cos h3))))) (* (sin h4) (* (cos h1) (* (cos h0) (sin (* -1 h3))))))) h5) (- (* (pow h0 3) (pow h1 3)) (+ (* 1/2 (* (pow h0 5) (pow h1 3))) (* 1/2 (* (pow h0 3) (pow h1 5))))) (* (pow (sin h1) 3) (pow (sin h0) 3)) (* (pow (sin h1) 3) (pow (sin h0) 3)) 2.482 * * * [progress]: adding candidates to table 2.944 * * [progress]: iteration 4 / 4 2.944 * * * [progress]: picking best candidate 3.038 * * * * [pick]: Picked # 3.038 * * * [progress]: localizing error 3.093 * * * [progress]: generating rewritten candidates 3.093 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 3.243 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 3.245 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1 2 1) 3.258 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 3.268 * * * [progress]: generating series expansions 3.268 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 3.268 * [backup-simplify]: Simplify (cbrt (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2)))) into (* (sin phi1) (sin phi2)) 3.268 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 3.268 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 3.268 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 3.268 * [taylor]: Taking taylor expansion of phi1 in phi2 3.268 * [backup-simplify]: Simplify phi1 into phi1 3.268 * [backup-simplify]: Simplify (sin phi1) into (sin phi1) 3.268 * [backup-simplify]: Simplify (cos phi1) into (cos phi1) 3.268 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 3.268 * [taylor]: Taking taylor expansion of phi2 in phi2 3.268 * [backup-simplify]: Simplify 0 into 0 3.268 * [backup-simplify]: Simplify 1 into 1 3.268 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 3.268 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 3.268 * [taylor]: Taking taylor expansion of phi1 in phi1 3.268 * [backup-simplify]: Simplify 0 into 0 3.268 * [backup-simplify]: Simplify 1 into 1 3.268 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 3.268 * [taylor]: Taking taylor expansion of phi2 in phi1 3.268 * [backup-simplify]: Simplify phi2 into phi2 3.268 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 3.268 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 3.268 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 3.268 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 3.268 * [taylor]: Taking taylor expansion of phi1 in phi1 3.268 * [backup-simplify]: Simplify 0 into 0 3.268 * [backup-simplify]: Simplify 1 into 1 3.268 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 3.268 * [taylor]: Taking taylor expansion of phi2 in phi1 3.268 * [backup-simplify]: Simplify phi2 into phi2 3.269 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 3.269 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 3.269 * [backup-simplify]: Simplify (* (sin phi2) 1) into (sin phi2) 3.269 * [backup-simplify]: Simplify (* (cos phi2) 0) into 0 3.269 * [backup-simplify]: Simplify (+ (sin phi2) 0) into (sin phi2) 3.269 * [backup-simplify]: Simplify (* 0 (sin phi2)) into 0 3.269 * [taylor]: Taking taylor expansion of 0 in phi2 3.269 * [backup-simplify]: Simplify 0 into 0 3.269 * [backup-simplify]: Simplify 0 into 0 3.269 * [backup-simplify]: Simplify (+ 0) into 0 3.270 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (* 0 1)) into 0 3.270 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.270 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (* 0 0)) into 0 3.271 * [backup-simplify]: Simplify (+ 0 0) into 0 3.271 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 3.271 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin phi2))) into (sin phi2) 3.271 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 3.271 * [taylor]: Taking taylor expansion of phi2 in phi2 3.271 * [backup-simplify]: Simplify 0 into 0 3.271 * [backup-simplify]: Simplify 1 into 1 3.271 * [backup-simplify]: Simplify 0 into 0 3.272 * [backup-simplify]: Simplify 0 into 0 3.272 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.272 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (* 0 1))) into 0 3.273 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.273 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* 0 0))) into 0 3.273 * [backup-simplify]: Simplify (+ 0 0) into 0 3.274 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.274 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin phi2)))) into 0 3.274 * [taylor]: Taking taylor expansion of 0 in phi2 3.274 * [backup-simplify]: Simplify 0 into 0 3.275 * [backup-simplify]: Simplify 0 into 0 3.275 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 3.275 * [backup-simplify]: Simplify 1 into 1 3.275 * [backup-simplify]: Simplify 0 into 0 3.276 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.276 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.277 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 3.277 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 3.277 * [backup-simplify]: Simplify (+ 0 0) into 0 3.278 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 3.279 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin phi2))))) into (- (* 1/6 (sin phi2))) 3.279 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 3.279 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 3.279 * [taylor]: Taking taylor expansion of 1/6 in phi2 3.279 * [backup-simplify]: Simplify 1/6 into 1/6 3.279 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 3.279 * [taylor]: Taking taylor expansion of phi2 in phi2 3.279 * [backup-simplify]: Simplify 0 into 0 3.279 * [backup-simplify]: Simplify 1 into 1 3.279 * [backup-simplify]: Simplify (* 1/6 0) into 0 3.280 * [backup-simplify]: Simplify (- 0) into 0 3.280 * [backup-simplify]: Simplify 0 into 0 3.280 * [backup-simplify]: Simplify 0 into 0 3.280 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.280 * [backup-simplify]: Simplify 0 into 0 3.280 * [backup-simplify]: Simplify 0 into 0 3.282 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 3.282 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.283 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 3.283 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 3.284 * [backup-simplify]: Simplify (+ 0 0) into 0 3.284 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 3.285 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin phi2)))))) into 0 3.285 * [taylor]: Taking taylor expansion of 0 in phi2 3.286 * [backup-simplify]: Simplify 0 into 0 3.286 * [backup-simplify]: Simplify 0 into 0 3.286 * [backup-simplify]: Simplify (* 1 (* phi2 phi1)) into (* phi2 phi1) 3.286 * [backup-simplify]: Simplify (cbrt (* (* (* (sin (/ 1 phi1)) (sin (/ 1 phi1))) (sin (/ 1 phi1))) (* (* (sin (/ 1 phi2)) (sin (/ 1 phi2))) (sin (/ 1 phi2))))) into (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 3.286 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 3.286 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 3.286 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 3.286 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 3.286 * [taylor]: Taking taylor expansion of phi1 in phi2 3.286 * [backup-simplify]: Simplify phi1 into phi1 3.286 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 3.286 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 3.286 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 3.286 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 3.286 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 3.286 * [taylor]: Taking taylor expansion of phi2 in phi2 3.286 * [backup-simplify]: Simplify 0 into 0 3.286 * [backup-simplify]: Simplify 1 into 1 3.287 * [backup-simplify]: Simplify (/ 1 1) into 1 3.287 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 3.287 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 3.287 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 3.287 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 3.287 * [taylor]: Taking taylor expansion of phi1 in phi1 3.287 * [backup-simplify]: Simplify 0 into 0 3.287 * [backup-simplify]: Simplify 1 into 1 3.287 * [backup-simplify]: Simplify (/ 1 1) into 1 3.287 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 3.287 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 3.287 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 3.287 * [taylor]: Taking taylor expansion of phi2 in phi1 3.287 * [backup-simplify]: Simplify phi2 into phi2 3.287 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 3.287 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 3.287 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 3.287 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 3.287 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 3.287 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 3.287 * [taylor]: Taking taylor expansion of phi1 in phi1 3.287 * [backup-simplify]: Simplify 0 into 0 3.287 * [backup-simplify]: Simplify 1 into 1 3.288 * [backup-simplify]: Simplify (/ 1 1) into 1 3.288 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 3.288 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 3.288 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 3.288 * [taylor]: Taking taylor expansion of phi2 in phi1 3.288 * [backup-simplify]: Simplify phi2 into phi2 3.288 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 3.288 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 3.288 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 3.288 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 1) into (sin (/ 1 phi2)) 3.288 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 0) into 0 3.288 * [backup-simplify]: Simplify (+ (sin (/ 1 phi2)) 0) into (sin (/ 1 phi2)) 3.288 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 3.288 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 3.288 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 3.288 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 3.288 * [taylor]: Taking taylor expansion of phi1 in phi2 3.288 * [backup-simplify]: Simplify phi1 into phi1 3.288 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 3.288 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 3.289 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 3.289 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 3.289 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 3.289 * [taylor]: Taking taylor expansion of phi2 in phi2 3.289 * [backup-simplify]: Simplify 0 into 0 3.289 * [backup-simplify]: Simplify 1 into 1 3.289 * [backup-simplify]: Simplify (/ 1 1) into 1 3.289 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 3.289 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 1) into (sin (/ 1 phi1)) 3.289 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 0) into 0 3.289 * [backup-simplify]: Simplify (+ (sin (/ 1 phi1)) 0) into (sin (/ 1 phi1)) 3.289 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 3.289 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 3.290 * [backup-simplify]: Simplify (+ 0) into 0 3.290 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 1)) into 0 3.290 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 3.291 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.291 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 0)) into 0 3.291 * [backup-simplify]: Simplify (+ 0 0) into 0 3.291 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 (sin (/ 1 phi2)))) into 0 3.291 * [taylor]: Taking taylor expansion of 0 in phi2 3.291 * [backup-simplify]: Simplify 0 into 0 3.291 * [backup-simplify]: Simplify 0 into 0 3.292 * [backup-simplify]: Simplify (+ 0) into 0 3.292 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 1)) into 0 3.292 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 3.293 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.293 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 0)) into 0 3.293 * [backup-simplify]: Simplify (+ 0 0) into 0 3.293 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 (sin (/ 1 phi2)))) into 0 3.293 * [backup-simplify]: Simplify 0 into 0 3.294 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.295 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 3.295 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 3.295 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.296 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 3.296 * [backup-simplify]: Simplify (+ 0 0) into 0 3.296 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi2))))) into 0 3.296 * [taylor]: Taking taylor expansion of 0 in phi2 3.296 * [backup-simplify]: Simplify 0 into 0 3.296 * [backup-simplify]: Simplify 0 into 0 3.296 * [backup-simplify]: Simplify 0 into 0 3.297 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.297 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 3.297 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 3.298 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.298 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 3.301 * [backup-simplify]: Simplify (+ 0 0) into 0 3.302 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi2))))) into 0 3.302 * [backup-simplify]: Simplify 0 into 0 3.302 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.303 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.303 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 3.304 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 3.305 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 3.305 * [backup-simplify]: Simplify (+ 0 0) into 0 3.306 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 phi2)))))) into 0 3.306 * [taylor]: Taking taylor expansion of 0 in phi2 3.306 * [backup-simplify]: Simplify 0 into 0 3.306 * [backup-simplify]: Simplify 0 into 0 3.306 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 phi1))) (sin (/ 1 (/ 1 phi2)))) into (* (sin phi1) (sin phi2)) 3.306 * [backup-simplify]: Simplify (cbrt (* (* (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi1)))) (sin (/ 1 (- phi1)))) (* (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi2)))) (sin (/ 1 (- phi2)))))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 3.306 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 3.306 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 3.306 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 3.306 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 3.306 * [taylor]: Taking taylor expansion of -1 in phi2 3.306 * [backup-simplify]: Simplify -1 into -1 3.306 * [taylor]: Taking taylor expansion of phi1 in phi2 3.306 * [backup-simplify]: Simplify phi1 into phi1 3.306 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 3.306 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 3.306 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 3.306 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 3.306 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 3.306 * [taylor]: Taking taylor expansion of -1 in phi2 3.306 * [backup-simplify]: Simplify -1 into -1 3.306 * [taylor]: Taking taylor expansion of phi2 in phi2 3.306 * [backup-simplify]: Simplify 0 into 0 3.306 * [backup-simplify]: Simplify 1 into 1 3.307 * [backup-simplify]: Simplify (/ -1 1) into -1 3.307 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 3.307 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 3.307 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 3.307 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 3.307 * [taylor]: Taking taylor expansion of -1 in phi1 3.307 * [backup-simplify]: Simplify -1 into -1 3.307 * [taylor]: Taking taylor expansion of phi1 in phi1 3.307 * [backup-simplify]: Simplify 0 into 0 3.307 * [backup-simplify]: Simplify 1 into 1 3.307 * [backup-simplify]: Simplify (/ -1 1) into -1 3.307 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 3.307 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 3.307 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 3.307 * [taylor]: Taking taylor expansion of -1 in phi1 3.307 * [backup-simplify]: Simplify -1 into -1 3.307 * [taylor]: Taking taylor expansion of phi2 in phi1 3.307 * [backup-simplify]: Simplify phi2 into phi2 3.307 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 3.308 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 3.308 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 3.308 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 3.308 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 3.308 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 3.308 * [taylor]: Taking taylor expansion of -1 in phi1 3.308 * [backup-simplify]: Simplify -1 into -1 3.308 * [taylor]: Taking taylor expansion of phi1 in phi1 3.308 * [backup-simplify]: Simplify 0 into 0 3.308 * [backup-simplify]: Simplify 1 into 1 3.308 * [backup-simplify]: Simplify (/ -1 1) into -1 3.308 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 3.308 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 3.308 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 3.308 * [taylor]: Taking taylor expansion of -1 in phi1 3.308 * [backup-simplify]: Simplify -1 into -1 3.308 * [taylor]: Taking taylor expansion of phi2 in phi1 3.308 * [backup-simplify]: Simplify phi2 into phi2 3.308 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 3.308 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 3.308 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 3.308 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 1) into (sin (/ -1 phi2)) 3.308 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 0) into 0 3.308 * [backup-simplify]: Simplify (+ (sin (/ -1 phi2)) 0) into (sin (/ -1 phi2)) 3.309 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 3.309 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 3.309 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 3.309 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 3.309 * [taylor]: Taking taylor expansion of -1 in phi2 3.309 * [backup-simplify]: Simplify -1 into -1 3.309 * [taylor]: Taking taylor expansion of phi1 in phi2 3.309 * [backup-simplify]: Simplify phi1 into phi1 3.309 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 3.309 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 3.309 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 3.309 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 3.309 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 3.309 * [taylor]: Taking taylor expansion of -1 in phi2 3.309 * [backup-simplify]: Simplify -1 into -1 3.309 * [taylor]: Taking taylor expansion of phi2 in phi2 3.309 * [backup-simplify]: Simplify 0 into 0 3.309 * [backup-simplify]: Simplify 1 into 1 3.309 * [backup-simplify]: Simplify (/ -1 1) into -1 3.309 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 3.309 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 1) into (sin (/ -1 phi1)) 3.309 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 0) into 0 3.309 * [backup-simplify]: Simplify (+ (sin (/ -1 phi1)) 0) into (sin (/ -1 phi1)) 3.310 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 3.310 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 3.310 * [backup-simplify]: Simplify (+ 0) into 0 3.310 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 1)) into 0 3.310 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0 3.311 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.311 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 0)) into 0 3.311 * [backup-simplify]: Simplify (+ 0 0) into 0 3.311 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 3.311 * [taylor]: Taking taylor expansion of 0 in phi2 3.311 * [backup-simplify]: Simplify 0 into 0 3.311 * [backup-simplify]: Simplify 0 into 0 3.312 * [backup-simplify]: Simplify (+ 0) into 0 3.312 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 1)) into 0 3.312 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0 3.313 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.313 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 0)) into 0 3.313 * [backup-simplify]: Simplify (+ 0 0) into 0 3.313 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 3.313 * [backup-simplify]: Simplify 0 into 0 3.314 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.314 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 3.314 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 3.315 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.315 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 3.315 * [backup-simplify]: Simplify (+ 0 0) into 0 3.316 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 3.316 * [taylor]: Taking taylor expansion of 0 in phi2 3.316 * [backup-simplify]: Simplify 0 into 0 3.316 * [backup-simplify]: Simplify 0 into 0 3.316 * [backup-simplify]: Simplify 0 into 0 3.316 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.317 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 3.317 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 3.317 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.318 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 3.318 * [backup-simplify]: Simplify (+ 0 0) into 0 3.318 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 3.318 * [backup-simplify]: Simplify 0 into 0 3.319 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.319 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.319 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 3.320 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 3.321 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 3.321 * [backup-simplify]: Simplify (+ 0 0) into 0 3.321 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2)))))) into 0 3.321 * [taylor]: Taking taylor expansion of 0 in phi2 3.321 * [backup-simplify]: Simplify 0 into 0 3.322 * [backup-simplify]: Simplify 0 into 0 3.322 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) into (* (sin phi1) (sin phi2)) 3.322 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 3.322 * [backup-simplify]: Simplify (acos (+ (cbrt (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 3.322 * [approximate]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0 3.322 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda2 3.323 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 3.323 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda1 3.323 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 3.323 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi2 3.324 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 3.324 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi1 3.324 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 3.324 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi1 3.324 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 3.324 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi2 3.325 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 3.325 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda1 3.325 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 3.325 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda2 3.326 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 3.326 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 3.326 * [taylor]: Taking taylor expansion of 0 in phi2 3.326 * [backup-simplify]: Simplify 0 into 0 3.326 * [taylor]: Taking taylor expansion of 0 in lambda1 3.326 * [backup-simplify]: Simplify 0 into 0 3.326 * [taylor]: Taking taylor expansion of 0 in lambda2 3.326 * [backup-simplify]: Simplify 0 into 0 3.326 * [backup-simplify]: Simplify 0 into 0 3.326 * [taylor]: Taking taylor expansion of 0 in lambda1 3.326 * [backup-simplify]: Simplify 0 into 0 3.326 * [taylor]: Taking taylor expansion of 0 in lambda2 3.326 * [backup-simplify]: Simplify 0 into 0 3.326 * [backup-simplify]: Simplify 0 into 0 3.326 * [taylor]: Taking taylor expansion of 0 in lambda2 3.326 * [backup-simplify]: Simplify 0 into 0 3.326 * [backup-simplify]: Simplify 0 into 0 3.326 * [backup-simplify]: Simplify 0 into 0 3.326 * [taylor]: Taking taylor expansion of 0 in phi2 3.326 * [backup-simplify]: Simplify 0 into 0 3.326 * [taylor]: Taking taylor expansion of 0 in lambda1 3.326 * [backup-simplify]: Simplify 0 into 0 3.326 * [taylor]: Taking taylor expansion of 0 in lambda2 3.326 * [backup-simplify]: Simplify 0 into 0 3.327 * [backup-simplify]: Simplify 0 into 0 3.327 * [taylor]: Taking taylor expansion of 0 in lambda1 3.327 * [backup-simplify]: Simplify 0 into 0 3.327 * [taylor]: Taking taylor expansion of 0 in lambda2 3.327 * [backup-simplify]: Simplify 0 into 0 3.327 * [backup-simplify]: Simplify 0 into 0 3.327 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 3.328 * [backup-simplify]: Simplify (acos (+ (cbrt (* (* (* (sin (/ 1 phi1)) (sin (/ 1 phi1))) (sin (/ 1 phi1))) (* (* (sin (/ 1 phi2)) (sin (/ 1 phi2))) (sin (/ 1 phi2))))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 3.328 * [approximate]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 3.328 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 3.328 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 3.328 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 3.329 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 3.329 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 3.329 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 3.329 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 3.330 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 3.330 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 3.331 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 3.331 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 3.331 * [backup-simplify]: Simplify (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 3.331 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 3.332 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 3.332 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 3.332 * [backup-simplify]: Simplify (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 3.333 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 3.333 * [taylor]: Taking taylor expansion of 0 in phi2 3.333 * [backup-simplify]: Simplify 0 into 0 3.333 * [taylor]: Taking taylor expansion of 0 in lambda1 3.333 * [backup-simplify]: Simplify 0 into 0 3.333 * [taylor]: Taking taylor expansion of 0 in lambda2 3.333 * [backup-simplify]: Simplify 0 into 0 3.333 * [backup-simplify]: Simplify 0 into 0 3.333 * [taylor]: Taking taylor expansion of 0 in lambda1 3.333 * [backup-simplify]: Simplify 0 into 0 3.333 * [taylor]: Taking taylor expansion of 0 in lambda2 3.333 * [backup-simplify]: Simplify 0 into 0 3.333 * [backup-simplify]: Simplify 0 into 0 3.333 * [taylor]: Taking taylor expansion of 0 in lambda2 3.333 * [backup-simplify]: Simplify 0 into 0 3.333 * [backup-simplify]: Simplify 0 into 0 3.333 * [backup-simplify]: Simplify 0 into 0 3.333 * [taylor]: Taking taylor expansion of 0 in phi2 3.333 * [backup-simplify]: Simplify 0 into 0 3.333 * [taylor]: Taking taylor expansion of 0 in lambda1 3.333 * [backup-simplify]: Simplify 0 into 0 3.333 * [taylor]: Taking taylor expansion of 0 in lambda2 3.333 * [backup-simplify]: Simplify 0 into 0 3.333 * [backup-simplify]: Simplify 0 into 0 3.333 * [taylor]: Taking taylor expansion of 0 in lambda1 3.333 * [backup-simplify]: Simplify 0 into 0 3.333 * [taylor]: Taking taylor expansion of 0 in lambda2 3.333 * [backup-simplify]: Simplify 0 into 0 3.333 * [backup-simplify]: Simplify 0 into 0 3.334 * [backup-simplify]: Simplify (acos (- (+ (* (sin (/ 1 (/ 1 phi1))) (sin (/ 1 (/ 1 phi2)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi1))) (cos (/ 1 (/ 1 lambda1))))))) (* (sin (/ 1 (/ 1 lambda1))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 phi1))) (sin (- (/ 1 (/ 1 lambda2))))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 3.335 * [backup-simplify]: Simplify (acos (+ (cbrt (* (* (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi1)))) (sin (/ 1 (- phi1)))) (* (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi2)))) (sin (/ 1 (- phi2)))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 3.335 * [approximate]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in (phi1 phi2 lambda1 lambda2) around 0 3.335 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 3.336 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 3.336 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 3.336 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 3.336 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 3.337 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 3.337 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 3.337 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 3.337 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 3.338 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 3.338 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 3.338 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 3.338 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 3.339 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 3.339 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 3.339 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 3.340 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 3.340 * [taylor]: Taking taylor expansion of 0 in phi2 3.340 * [backup-simplify]: Simplify 0 into 0 3.340 * [taylor]: Taking taylor expansion of 0 in lambda1 3.340 * [backup-simplify]: Simplify 0 into 0 3.340 * [taylor]: Taking taylor expansion of 0 in lambda2 3.340 * [backup-simplify]: Simplify 0 into 0 3.340 * [backup-simplify]: Simplify 0 into 0 3.340 * [taylor]: Taking taylor expansion of 0 in lambda1 3.340 * [backup-simplify]: Simplify 0 into 0 3.340 * [taylor]: Taking taylor expansion of 0 in lambda2 3.340 * [backup-simplify]: Simplify 0 into 0 3.340 * [backup-simplify]: Simplify 0 into 0 3.340 * [taylor]: Taking taylor expansion of 0 in lambda2 3.340 * [backup-simplify]: Simplify 0 into 0 3.340 * [backup-simplify]: Simplify 0 into 0 3.340 * [backup-simplify]: Simplify 0 into 0 3.340 * [taylor]: Taking taylor expansion of 0 in phi2 3.340 * [backup-simplify]: Simplify 0 into 0 3.340 * [taylor]: Taking taylor expansion of 0 in lambda1 3.340 * [backup-simplify]: Simplify 0 into 0 3.340 * [taylor]: Taking taylor expansion of 0 in lambda2 3.340 * [backup-simplify]: Simplify 0 into 0 3.340 * [backup-simplify]: Simplify 0 into 0 3.340 * [taylor]: Taking taylor expansion of 0 in lambda1 3.340 * [backup-simplify]: Simplify 0 into 0 3.340 * [taylor]: Taking taylor expansion of 0 in lambda2 3.341 * [backup-simplify]: Simplify 0 into 0 3.341 * [backup-simplify]: Simplify 0 into 0 3.341 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2))))))) (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2)))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (sin (/ 1 (/ 1 (- lambda2)))) (cos (/ -1 (/ 1 (- phi2))))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) 3.341 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1 2 1) 3.341 * [backup-simplify]: Simplify (* (sin phi2) (sin phi2)) into (pow (sin phi2) 2) 3.341 * [approximate]: Taking taylor expansion of (pow (sin phi2) 2) in (phi2) around 0 3.341 * [taylor]: Taking taylor expansion of (pow (sin phi2) 2) in phi2 3.341 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 3.341 * [taylor]: Taking taylor expansion of phi2 in phi2 3.341 * [backup-simplify]: Simplify 0 into 0 3.341 * [backup-simplify]: Simplify 1 into 1 3.342 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 3.342 * [taylor]: Taking taylor expansion of (pow (sin phi2) 2) in phi2 3.342 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 3.342 * [taylor]: Taking taylor expansion of phi2 in phi2 3.342 * [backup-simplify]: Simplify 0 into 0 3.342 * [backup-simplify]: Simplify 1 into 1 3.343 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 3.343 * [backup-simplify]: Simplify (* 1 1) into 1 3.343 * [backup-simplify]: Simplify 1 into 1 3.343 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.344 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.344 * [backup-simplify]: Simplify 0 into 0 3.345 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 3.345 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3 3.345 * [backup-simplify]: Simplify -1/3 into -1/3 3.346 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 3.347 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0 3.347 * [backup-simplify]: Simplify 0 into 0 3.349 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 3.350 * [backup-simplify]: Simplify (+ (* 1 1/120) (+ (* 0 0) (+ (* -1/6 -1/6) (+ (* 0 0) (* 1/120 1))))) into 2/45 3.350 * [backup-simplify]: Simplify 2/45 into 2/45 3.350 * [backup-simplify]: Simplify (+ (* 2/45 (pow phi2 6)) (+ (* -1/3 (pow phi2 4)) (* 1 (pow phi2 2)))) into (- (+ (pow phi2 2) (* 2/45 (pow phi2 6))) (* 1/3 (pow phi2 4))) 3.350 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi2))) into (pow (sin (/ 1 phi2)) 2) 3.350 * [approximate]: Taking taylor expansion of (pow (sin (/ 1 phi2)) 2) in (phi2) around 0 3.350 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 phi2)) 2) in phi2 3.350 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 3.350 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 3.350 * [taylor]: Taking taylor expansion of phi2 in phi2 3.350 * [backup-simplify]: Simplify 0 into 0 3.350 * [backup-simplify]: Simplify 1 into 1 3.350 * [backup-simplify]: Simplify (/ 1 1) into 1 3.351 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 3.351 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 phi2)) 2) in phi2 3.351 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 3.351 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 3.351 * [taylor]: Taking taylor expansion of phi2 in phi2 3.351 * [backup-simplify]: Simplify 0 into 0 3.351 * [backup-simplify]: Simplify 1 into 1 3.351 * [backup-simplify]: Simplify (/ 1 1) into 1 3.351 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 3.351 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi2))) into (pow (sin (/ 1 phi2)) 2) 3.351 * [backup-simplify]: Simplify (pow (sin (/ 1 phi2)) 2) into (pow (sin (/ 1 phi2)) 2) 3.351 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi2)))) into 0 3.351 * [backup-simplify]: Simplify 0 into 0 3.352 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi2))))) into 0 3.352 * [backup-simplify]: Simplify 0 into 0 3.352 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 phi2)))))) into 0 3.352 * [backup-simplify]: Simplify 0 into 0 3.353 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 phi2))))))) into 0 3.353 * [backup-simplify]: Simplify 0 into 0 3.354 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 phi2)))))))) into 0 3.354 * [backup-simplify]: Simplify 0 into 0 3.355 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 phi2))))))))) into 0 3.355 * [backup-simplify]: Simplify 0 into 0 3.355 * [backup-simplify]: Simplify (pow (sin (/ 1 (/ 1 phi2))) 2) into (pow (sin phi2) 2) 3.356 * [backup-simplify]: Simplify (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi2)))) into (pow (sin (/ -1 phi2)) 2) 3.356 * [approximate]: Taking taylor expansion of (pow (sin (/ -1 phi2)) 2) in (phi2) around 0 3.356 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 phi2)) 2) in phi2 3.356 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 3.356 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 3.356 * [taylor]: Taking taylor expansion of -1 in phi2 3.356 * [backup-simplify]: Simplify -1 into -1 3.356 * [taylor]: Taking taylor expansion of phi2 in phi2 3.356 * [backup-simplify]: Simplify 0 into 0 3.356 * [backup-simplify]: Simplify 1 into 1 3.356 * [backup-simplify]: Simplify (/ -1 1) into -1 3.356 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 3.356 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 phi2)) 2) in phi2 3.356 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 3.356 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 3.356 * [taylor]: Taking taylor expansion of -1 in phi2 3.356 * [backup-simplify]: Simplify -1 into -1 3.356 * [taylor]: Taking taylor expansion of phi2 in phi2 3.356 * [backup-simplify]: Simplify 0 into 0 3.356 * [backup-simplify]: Simplify 1 into 1 3.356 * [backup-simplify]: Simplify (/ -1 1) into -1 3.356 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 3.357 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) (sin (/ -1 phi2))) into (pow (sin (/ -1 phi2)) 2) 3.357 * [backup-simplify]: Simplify (pow (sin (/ -1 phi2)) 2) into (pow (sin (/ -1 phi2)) 2) 3.357 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 (sin (/ -1 phi2)))) into 0 3.357 * [backup-simplify]: Simplify 0 into 0 3.357 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 3.357 * [backup-simplify]: Simplify 0 into 0 3.358 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2)))))) into 0 3.358 * [backup-simplify]: Simplify 0 into 0 3.359 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))))) into 0 3.359 * [backup-simplify]: Simplify 0 into 0 3.360 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2)))))))) into 0 3.360 * [backup-simplify]: Simplify 0 into 0 3.361 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))))))) into 0 3.361 * [backup-simplify]: Simplify 0 into 0 3.361 * [backup-simplify]: Simplify (pow (sin (/ -1 (/ 1 (- phi2)))) 2) into (pow (sin phi2) 2) 3.361 * * * * [progress]: [ 4 / 4 ] generating series at (2) 3.362 * [backup-simplify]: Simplify (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) into (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) 3.362 * [approximate]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 3.362 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in R 3.362 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in R 3.362 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 3.362 * [taylor]: Taking taylor expansion of R in R 3.362 * [backup-simplify]: Simplify 0 into 0 3.362 * [backup-simplify]: Simplify 1 into 1 3.362 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in lambda2 3.362 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda2 3.363 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 3.363 * [taylor]: Taking taylor expansion of R in lambda2 3.363 * [backup-simplify]: Simplify R into R 3.363 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in lambda1 3.363 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda1 3.363 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 3.363 * [taylor]: Taking taylor expansion of R in lambda1 3.363 * [backup-simplify]: Simplify R into R 3.363 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in phi2 3.363 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi2 3.364 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 3.364 * [taylor]: Taking taylor expansion of R in phi2 3.364 * [backup-simplify]: Simplify R into R 3.364 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in phi1 3.364 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi1 3.364 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 3.364 * [taylor]: Taking taylor expansion of R in phi1 3.364 * [backup-simplify]: Simplify R into R 3.364 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in phi1 3.364 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi1 3.365 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 3.365 * [taylor]: Taking taylor expansion of R in phi1 3.365 * [backup-simplify]: Simplify R into R 3.365 * [backup-simplify]: Simplify (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) into (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) 3.365 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in phi2 3.365 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi2 3.366 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 3.366 * [taylor]: Taking taylor expansion of R in phi2 3.366 * [backup-simplify]: Simplify R into R 3.366 * [backup-simplify]: Simplify (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) into (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) 3.366 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in lambda1 3.366 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda1 3.367 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 3.367 * [taylor]: Taking taylor expansion of R in lambda1 3.367 * [backup-simplify]: Simplify R into R 3.367 * [backup-simplify]: Simplify (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) into (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) 3.367 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in lambda2 3.367 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda2 3.367 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 3.367 * [taylor]: Taking taylor expansion of R in lambda2 3.367 * [backup-simplify]: Simplify R into R 3.368 * [backup-simplify]: Simplify (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) into (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) 3.368 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in R 3.368 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in R 3.368 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 3.368 * [taylor]: Taking taylor expansion of R in R 3.368 * [backup-simplify]: Simplify 0 into 0 3.368 * [backup-simplify]: Simplify 1 into 1 3.369 * [backup-simplify]: Simplify (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 0) into 0 3.369 * [backup-simplify]: Simplify 0 into 0 3.369 * [backup-simplify]: Simplify (+ (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 0) (* 0 R)) into 0 3.369 * [taylor]: Taking taylor expansion of 0 in phi2 3.369 * [backup-simplify]: Simplify 0 into 0 3.369 * [taylor]: Taking taylor expansion of 0 in lambda1 3.369 * [backup-simplify]: Simplify 0 into 0 3.369 * [taylor]: Taking taylor expansion of 0 in lambda2 3.369 * [backup-simplify]: Simplify 0 into 0 3.369 * [taylor]: Taking taylor expansion of 0 in R 3.369 * [backup-simplify]: Simplify 0 into 0 3.369 * [backup-simplify]: Simplify 0 into 0 3.370 * [backup-simplify]: Simplify (+ (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 0) (* 0 R)) into 0 3.370 * [taylor]: Taking taylor expansion of 0 in lambda1 3.370 * [backup-simplify]: Simplify 0 into 0 3.370 * [taylor]: Taking taylor expansion of 0 in lambda2 3.370 * [backup-simplify]: Simplify 0 into 0 3.370 * [taylor]: Taking taylor expansion of 0 in R 3.370 * [backup-simplify]: Simplify 0 into 0 3.370 * [backup-simplify]: Simplify 0 into 0 3.370 * [backup-simplify]: Simplify (+ (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 0) (* 0 R)) into 0 3.370 * [taylor]: Taking taylor expansion of 0 in lambda2 3.370 * [backup-simplify]: Simplify 0 into 0 3.370 * [taylor]: Taking taylor expansion of 0 in R 3.370 * [backup-simplify]: Simplify 0 into 0 3.370 * [backup-simplify]: Simplify 0 into 0 3.371 * [backup-simplify]: Simplify (+ (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 0) (* 0 R)) into 0 3.371 * [taylor]: Taking taylor expansion of 0 in R 3.371 * [backup-simplify]: Simplify 0 into 0 3.371 * [backup-simplify]: Simplify 0 into 0 3.372 * [backup-simplify]: Simplify (+ (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 1) (* 0 0)) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 3.372 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 3.373 * [backup-simplify]: Simplify (+ (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 0) (+ (* 0 0) (* 0 R))) into 0 3.373 * [taylor]: Taking taylor expansion of 0 in phi2 3.373 * [backup-simplify]: Simplify 0 into 0 3.373 * [taylor]: Taking taylor expansion of 0 in lambda1 3.373 * [backup-simplify]: Simplify 0 into 0 3.373 * [taylor]: Taking taylor expansion of 0 in lambda2 3.373 * [backup-simplify]: Simplify 0 into 0 3.373 * [taylor]: Taking taylor expansion of 0 in R 3.373 * [backup-simplify]: Simplify 0 into 0 3.373 * [backup-simplify]: Simplify 0 into 0 3.373 * [taylor]: Taking taylor expansion of 0 in lambda1 3.373 * [backup-simplify]: Simplify 0 into 0 3.373 * [taylor]: Taking taylor expansion of 0 in lambda2 3.373 * [backup-simplify]: Simplify 0 into 0 3.373 * [taylor]: Taking taylor expansion of 0 in R 3.373 * [backup-simplify]: Simplify 0 into 0 3.373 * [backup-simplify]: Simplify 0 into 0 3.374 * [backup-simplify]: Simplify (+ (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 0) (+ (* 0 0) (* 0 R))) into 0 3.374 * [taylor]: Taking taylor expansion of 0 in lambda1 3.374 * [backup-simplify]: Simplify 0 into 0 3.374 * [taylor]: Taking taylor expansion of 0 in lambda2 3.374 * [backup-simplify]: Simplify 0 into 0 3.374 * [taylor]: Taking taylor expansion of 0 in R 3.374 * [backup-simplify]: Simplify 0 into 0 3.374 * [backup-simplify]: Simplify 0 into 0 3.374 * [taylor]: Taking taylor expansion of 0 in lambda2 3.374 * [backup-simplify]: Simplify 0 into 0 3.374 * [taylor]: Taking taylor expansion of 0 in R 3.374 * [backup-simplify]: Simplify 0 into 0 3.374 * [backup-simplify]: Simplify 0 into 0 3.374 * [taylor]: Taking taylor expansion of 0 in lambda2 3.374 * [backup-simplify]: Simplify 0 into 0 3.374 * [taylor]: Taking taylor expansion of 0 in R 3.374 * [backup-simplify]: Simplify 0 into 0 3.374 * [backup-simplify]: Simplify 0 into 0 3.375 * [backup-simplify]: Simplify (+ (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 0) (+ (* 0 0) (* 0 R))) into 0 3.375 * [taylor]: Taking taylor expansion of 0 in lambda2 3.375 * [backup-simplify]: Simplify 0 into 0 3.375 * [taylor]: Taking taylor expansion of 0 in R 3.375 * [backup-simplify]: Simplify 0 into 0 3.375 * [backup-simplify]: Simplify 0 into 0 3.376 * [backup-simplify]: Simplify (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) (* R (* 1 (* 1 (* 1 1))))) into (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) 3.377 * [backup-simplify]: Simplify (* (acos (+ (cbrt (* (* (* (sin (/ 1 phi1)) (sin (/ 1 phi1))) (sin (/ 1 phi1))) (* (* (sin (/ 1 phi2)) (sin (/ 1 phi2))) (sin (/ 1 phi2))))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))) (/ 1 R)) into (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) 3.377 * [approximate]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 3.377 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in R 3.377 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in R 3.377 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 3.377 * [taylor]: Taking taylor expansion of R in R 3.377 * [backup-simplify]: Simplify 0 into 0 3.377 * [backup-simplify]: Simplify 1 into 1 3.378 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1) into (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 3.378 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in lambda2 3.378 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 3.378 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 3.378 * [taylor]: Taking taylor expansion of R in lambda2 3.378 * [backup-simplify]: Simplify R into R 3.379 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) into (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) 3.379 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in lambda1 3.379 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 3.380 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 3.380 * [taylor]: Taking taylor expansion of R in lambda1 3.380 * [backup-simplify]: Simplify R into R 3.380 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) into (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) 3.380 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in phi2 3.380 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 3.381 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 3.381 * [taylor]: Taking taylor expansion of R in phi2 3.381 * [backup-simplify]: Simplify R into R 3.381 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) into (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) 3.381 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in phi1 3.381 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 3.382 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 3.382 * [taylor]: Taking taylor expansion of R in phi1 3.382 * [backup-simplify]: Simplify R into R 3.383 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) into (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) 3.383 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in phi1 3.383 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 3.383 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 3.383 * [taylor]: Taking taylor expansion of R in phi1 3.383 * [backup-simplify]: Simplify R into R 3.384 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) into (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) 3.384 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in phi2 3.384 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 3.384 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 3.384 * [taylor]: Taking taylor expansion of R in phi2 3.384 * [backup-simplify]: Simplify R into R 3.385 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) into (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) 3.385 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in lambda1 3.385 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 3.386 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 3.386 * [taylor]: Taking taylor expansion of R in lambda1 3.386 * [backup-simplify]: Simplify R into R 3.386 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) into (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) 3.386 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in lambda2 3.386 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 3.387 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 3.387 * [taylor]: Taking taylor expansion of R in lambda2 3.387 * [backup-simplify]: Simplify R into R 3.387 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) into (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) 3.387 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in R 3.387 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in R 3.388 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 3.388 * [taylor]: Taking taylor expansion of R in R 3.388 * [backup-simplify]: Simplify 0 into 0 3.388 * [backup-simplify]: Simplify 1 into 1 3.389 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1) into (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 3.389 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 3.390 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) (/ 0 R)))) into 0 3.390 * [taylor]: Taking taylor expansion of 0 in phi2 3.390 * [backup-simplify]: Simplify 0 into 0 3.390 * [taylor]: Taking taylor expansion of 0 in lambda1 3.390 * [backup-simplify]: Simplify 0 into 0 3.390 * [taylor]: Taking taylor expansion of 0 in lambda2 3.390 * [backup-simplify]: Simplify 0 into 0 3.390 * [taylor]: Taking taylor expansion of 0 in R 3.390 * [backup-simplify]: Simplify 0 into 0 3.391 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) (/ 0 R)))) into 0 3.391 * [taylor]: Taking taylor expansion of 0 in lambda1 3.391 * [backup-simplify]: Simplify 0 into 0 3.391 * [taylor]: Taking taylor expansion of 0 in lambda2 3.391 * [backup-simplify]: Simplify 0 into 0 3.391 * [taylor]: Taking taylor expansion of 0 in R 3.391 * [backup-simplify]: Simplify 0 into 0 3.394 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) (/ 0 R)))) into 0 3.394 * [taylor]: Taking taylor expansion of 0 in lambda2 3.394 * [backup-simplify]: Simplify 0 into 0 3.394 * [taylor]: Taking taylor expansion of 0 in R 3.395 * [backup-simplify]: Simplify 0 into 0 3.395 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) (/ 0 R)))) into 0 3.395 * [taylor]: Taking taylor expansion of 0 in R 3.395 * [backup-simplify]: Simplify 0 into 0 3.397 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) (/ 0 1)))) into 0 3.397 * [backup-simplify]: Simplify 0 into 0 3.397 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 3.397 * [taylor]: Taking taylor expansion of 0 in phi2 3.397 * [backup-simplify]: Simplify 0 into 0 3.397 * [taylor]: Taking taylor expansion of 0 in lambda1 3.397 * [backup-simplify]: Simplify 0 into 0 3.397 * [taylor]: Taking taylor expansion of 0 in lambda2 3.397 * [backup-simplify]: Simplify 0 into 0 3.397 * [taylor]: Taking taylor expansion of 0 in R 3.397 * [backup-simplify]: Simplify 0 into 0 3.397 * [taylor]: Taking taylor expansion of 0 in lambda1 3.397 * [backup-simplify]: Simplify 0 into 0 3.397 * [taylor]: Taking taylor expansion of 0 in lambda2 3.398 * [backup-simplify]: Simplify 0 into 0 3.398 * [taylor]: Taking taylor expansion of 0 in R 3.398 * [backup-simplify]: Simplify 0 into 0 3.398 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 3.398 * [taylor]: Taking taylor expansion of 0 in lambda1 3.398 * [backup-simplify]: Simplify 0 into 0 3.398 * [taylor]: Taking taylor expansion of 0 in lambda2 3.398 * [backup-simplify]: Simplify 0 into 0 3.398 * [taylor]: Taking taylor expansion of 0 in R 3.398 * [backup-simplify]: Simplify 0 into 0 3.398 * [taylor]: Taking taylor expansion of 0 in lambda2 3.398 * [backup-simplify]: Simplify 0 into 0 3.398 * [taylor]: Taking taylor expansion of 0 in R 3.398 * [backup-simplify]: Simplify 0 into 0 3.398 * [taylor]: Taking taylor expansion of 0 in lambda2 3.398 * [backup-simplify]: Simplify 0 into 0 3.398 * [taylor]: Taking taylor expansion of 0 in R 3.399 * [backup-simplify]: Simplify 0 into 0 3.399 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 3.399 * [taylor]: Taking taylor expansion of 0 in lambda2 3.399 * [backup-simplify]: Simplify 0 into 0 3.399 * [taylor]: Taking taylor expansion of 0 in R 3.399 * [backup-simplify]: Simplify 0 into 0 3.399 * [taylor]: Taking taylor expansion of 0 in R 3.399 * [backup-simplify]: Simplify 0 into 0 3.399 * [taylor]: Taking taylor expansion of 0 in R 3.399 * [backup-simplify]: Simplify 0 into 0 3.399 * [taylor]: Taking taylor expansion of 0 in R 3.399 * [backup-simplify]: Simplify 0 into 0 3.400 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 3.400 * [taylor]: Taking taylor expansion of 0 in R 3.400 * [backup-simplify]: Simplify 0 into 0 3.400 * [backup-simplify]: Simplify 0 into 0 3.400 * [backup-simplify]: Simplify 0 into 0 3.400 * [backup-simplify]: Simplify 0 into 0 3.400 * [backup-simplify]: Simplify 0 into 0 3.402 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.402 * [backup-simplify]: Simplify 0 into 0 3.403 * [backup-simplify]: Simplify (* (acos (- (+ (* (sin (/ 1 (/ 1 phi1))) (sin (/ 1 (/ 1 phi2)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi1))) (cos (/ 1 (/ 1 lambda1))))))) (* (sin (/ 1 (/ 1 lambda1))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 phi1))) (sin (- (/ 1 (/ 1 lambda2))))))))) (* (/ 1 (/ 1 R)) (* 1 (* 1 (* 1 1))))) into (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) 3.404 * [backup-simplify]: Simplify (* (acos (+ (cbrt (* (* (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi1)))) (sin (/ 1 (- phi1)))) (* (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi2)))) (sin (/ 1 (- phi2)))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))) (/ 1 (- R))) into (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) 3.404 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 3.404 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in R 3.404 * [taylor]: Taking taylor expansion of -1 in R 3.404 * [backup-simplify]: Simplify -1 into -1 3.404 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in R 3.404 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in R 3.405 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 3.405 * [taylor]: Taking taylor expansion of R in R 3.405 * [backup-simplify]: Simplify 0 into 0 3.405 * [backup-simplify]: Simplify 1 into 1 3.406 * [backup-simplify]: Simplify (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 3.406 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda2 3.406 * [taylor]: Taking taylor expansion of -1 in lambda2 3.406 * [backup-simplify]: Simplify -1 into -1 3.406 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda2 3.406 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 3.406 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 3.406 * [taylor]: Taking taylor expansion of R in lambda2 3.406 * [backup-simplify]: Simplify R into R 3.407 * [backup-simplify]: Simplify (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) into (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) 3.407 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda1 3.407 * [taylor]: Taking taylor expansion of -1 in lambda1 3.407 * [backup-simplify]: Simplify -1 into -1 3.407 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda1 3.407 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 3.407 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 3.407 * [taylor]: Taking taylor expansion of R in lambda1 3.407 * [backup-simplify]: Simplify R into R 3.408 * [backup-simplify]: Simplify (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) into (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) 3.408 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi2 3.408 * [taylor]: Taking taylor expansion of -1 in phi2 3.408 * [backup-simplify]: Simplify -1 into -1 3.408 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi2 3.408 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 3.409 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 3.409 * [taylor]: Taking taylor expansion of R in phi2 3.409 * [backup-simplify]: Simplify R into R 3.409 * [backup-simplify]: Simplify (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) into (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) 3.409 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi1 3.409 * [taylor]: Taking taylor expansion of -1 in phi1 3.409 * [backup-simplify]: Simplify -1 into -1 3.409 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi1 3.409 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 3.410 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 3.410 * [taylor]: Taking taylor expansion of R in phi1 3.410 * [backup-simplify]: Simplify R into R 3.411 * [backup-simplify]: Simplify (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) into (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) 3.411 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi1 3.411 * [taylor]: Taking taylor expansion of -1 in phi1 3.411 * [backup-simplify]: Simplify -1 into -1 3.411 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi1 3.411 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 3.411 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 3.411 * [taylor]: Taking taylor expansion of R in phi1 3.411 * [backup-simplify]: Simplify R into R 3.412 * [backup-simplify]: Simplify (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) into (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) 3.412 * [backup-simplify]: Simplify (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) into (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) 3.412 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi2 3.412 * [taylor]: Taking taylor expansion of -1 in phi2 3.413 * [backup-simplify]: Simplify -1 into -1 3.413 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi2 3.413 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 3.413 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 3.413 * [taylor]: Taking taylor expansion of R in phi2 3.413 * [backup-simplify]: Simplify R into R 3.414 * [backup-simplify]: Simplify (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) into (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) 3.414 * [backup-simplify]: Simplify (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) into (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) 3.415 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda1 3.415 * [taylor]: Taking taylor expansion of -1 in lambda1 3.415 * [backup-simplify]: Simplify -1 into -1 3.415 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda1 3.415 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 3.415 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 3.415 * [taylor]: Taking taylor expansion of R in lambda1 3.415 * [backup-simplify]: Simplify R into R 3.416 * [backup-simplify]: Simplify (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) into (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) 3.417 * [backup-simplify]: Simplify (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) into (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) 3.417 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda2 3.417 * [taylor]: Taking taylor expansion of -1 in lambda2 3.417 * [backup-simplify]: Simplify -1 into -1 3.417 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda2 3.417 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 3.418 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 3.418 * [taylor]: Taking taylor expansion of R in lambda2 3.418 * [backup-simplify]: Simplify R into R 3.418 * [backup-simplify]: Simplify (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) into (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) 3.419 * [backup-simplify]: Simplify (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) into (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) 3.419 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in R 3.419 * [taylor]: Taking taylor expansion of -1 in R 3.419 * [backup-simplify]: Simplify -1 into -1 3.419 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in R 3.419 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in R 3.420 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 3.420 * [taylor]: Taking taylor expansion of R in R 3.420 * [backup-simplify]: Simplify 0 into 0 3.420 * [backup-simplify]: Simplify 1 into 1 3.420 * [backup-simplify]: Simplify (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 3.421 * [backup-simplify]: Simplify (* -1 (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) into (* -1 (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) 3.421 * [backup-simplify]: Simplify (* -1 (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) into (* -1 (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) 3.422 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) (/ 0 R)))) into 0 3.423 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R))) into 0 3.423 * [taylor]: Taking taylor expansion of 0 in phi2 3.423 * [backup-simplify]: Simplify 0 into 0 3.423 * [taylor]: Taking taylor expansion of 0 in lambda1 3.423 * [backup-simplify]: Simplify 0 into 0 3.423 * [taylor]: Taking taylor expansion of 0 in lambda2 3.423 * [backup-simplify]: Simplify 0 into 0 3.423 * [taylor]: Taking taylor expansion of 0 in R 3.423 * [backup-simplify]: Simplify 0 into 0 3.424 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) (/ 0 R)))) into 0 3.425 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R))) into 0 3.425 * [taylor]: Taking taylor expansion of 0 in lambda1 3.425 * [backup-simplify]: Simplify 0 into 0 3.425 * [taylor]: Taking taylor expansion of 0 in lambda2 3.425 * [backup-simplify]: Simplify 0 into 0 3.425 * [taylor]: Taking taylor expansion of 0 in R 3.425 * [backup-simplify]: Simplify 0 into 0 3.426 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) (/ 0 R)))) into 0 3.427 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R))) into 0 3.427 * [taylor]: Taking taylor expansion of 0 in lambda2 3.427 * [backup-simplify]: Simplify 0 into 0 3.427 * [taylor]: Taking taylor expansion of 0 in R 3.427 * [backup-simplify]: Simplify 0 into 0 3.427 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) (/ 0 R)))) into 0 3.428 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R))) into 0 3.428 * [taylor]: Taking taylor expansion of 0 in R 3.428 * [backup-simplify]: Simplify 0 into 0 3.430 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) (/ 0 1)))) into 0 3.430 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))))) into 0 3.430 * [backup-simplify]: Simplify 0 into 0 3.431 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 3.432 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)))) into 0 3.432 * [taylor]: Taking taylor expansion of 0 in phi2 3.432 * [backup-simplify]: Simplify 0 into 0 3.432 * [taylor]: Taking taylor expansion of 0 in lambda1 3.432 * [backup-simplify]: Simplify 0 into 0 3.432 * [taylor]: Taking taylor expansion of 0 in lambda2 3.432 * [backup-simplify]: Simplify 0 into 0 3.432 * [taylor]: Taking taylor expansion of 0 in R 3.432 * [backup-simplify]: Simplify 0 into 0 3.432 * [taylor]: Taking taylor expansion of 0 in lambda1 3.432 * [backup-simplify]: Simplify 0 into 0 3.432 * [taylor]: Taking taylor expansion of 0 in lambda2 3.432 * [backup-simplify]: Simplify 0 into 0 3.433 * [taylor]: Taking taylor expansion of 0 in R 3.433 * [backup-simplify]: Simplify 0 into 0 3.433 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 3.434 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)))) into 0 3.434 * [taylor]: Taking taylor expansion of 0 in lambda1 3.434 * [backup-simplify]: Simplify 0 into 0 3.434 * [taylor]: Taking taylor expansion of 0 in lambda2 3.434 * [backup-simplify]: Simplify 0 into 0 3.434 * [taylor]: Taking taylor expansion of 0 in R 3.434 * [backup-simplify]: Simplify 0 into 0 3.434 * [taylor]: Taking taylor expansion of 0 in lambda2 3.434 * [backup-simplify]: Simplify 0 into 0 3.434 * [taylor]: Taking taylor expansion of 0 in R 3.435 * [backup-simplify]: Simplify 0 into 0 3.435 * [taylor]: Taking taylor expansion of 0 in lambda2 3.435 * [backup-simplify]: Simplify 0 into 0 3.435 * [taylor]: Taking taylor expansion of 0 in R 3.435 * [backup-simplify]: Simplify 0 into 0 3.435 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 3.436 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)))) into 0 3.436 * [taylor]: Taking taylor expansion of 0 in lambda2 3.436 * [backup-simplify]: Simplify 0 into 0 3.436 * [taylor]: Taking taylor expansion of 0 in R 3.436 * [backup-simplify]: Simplify 0 into 0 3.436 * [taylor]: Taking taylor expansion of 0 in R 3.437 * [backup-simplify]: Simplify 0 into 0 3.437 * [taylor]: Taking taylor expansion of 0 in R 3.437 * [backup-simplify]: Simplify 0 into 0 3.437 * [taylor]: Taking taylor expansion of 0 in R 3.437 * [backup-simplify]: Simplify 0 into 0 3.437 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 3.438 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)))) into 0 3.438 * [taylor]: Taking taylor expansion of 0 in R 3.438 * [backup-simplify]: Simplify 0 into 0 3.438 * [backup-simplify]: Simplify 0 into 0 3.438 * [backup-simplify]: Simplify 0 into 0 3.438 * [backup-simplify]: Simplify 0 into 0 3.439 * [backup-simplify]: Simplify 0 into 0 3.440 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.441 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))))) into 0 3.441 * [backup-simplify]: Simplify 0 into 0 3.442 * [backup-simplify]: Simplify (* (* -1 (acos (- (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2))))))) (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2)))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (sin (/ 1 (/ 1 (- lambda2)))) (cos (/ -1 (/ 1 (- phi2)))))))))) (* (/ 1 (/ 1 (- R))) (* 1 (* 1 (* 1 1))))) into (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) R) 3.442 * * * [progress]: simplifying candidates 3.443 * [simplify]: Simplifying: (log (cbrt (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))))) (exp (cbrt (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))))) (cbrt (* (* (sin phi1) (sin phi1)) (sin phi1))) (cbrt (* (* (sin phi2) (sin phi2)) (sin phi2))) (cbrt (* (* (- (cos (- phi1 phi1)) (cos (+ phi1 phi1))) (sin phi1)) (* (- (cos (- phi2 phi2)) (cos (+ phi2 phi2))) (sin phi2)))) (cbrt (* 2 2)) (cbrt (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (- (cos (- phi2 phi2)) (cos (+ phi2 phi2))) (sin phi2)))) (cbrt 2) (cbrt (* (* (- (cos (- phi1 phi1)) (cos (+ phi1 phi1))) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2)))) (cbrt 2) (* (cbrt (cbrt (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))))) (cbrt (cbrt (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2)))))) (cbrt (cbrt (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))))) (* (* (cbrt (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2)))) (cbrt (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))))) (cbrt (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))))) (sqrt (cbrt (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))))) (sqrt (cbrt (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))))) (/ PI 2) (asin (+ (cbrt (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (log (acos (+ (cbrt (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (exp (acos (+ (cbrt (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (* (cbrt (acos (+ (cbrt (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (cbrt (acos (+ (cbrt (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (cbrt (acos (+ (cbrt (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (* (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (acos (+ (cbrt (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (acos (+ (cbrt (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt (acos (+ (cbrt (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt (acos (+ (cbrt (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (* 1/2 (cos (* 2 phi2))) (- (cos (- phi2 phi2)) (cos (+ phi2 phi2))) (+ 1 1) (* (sin phi2) (sin phi2)) (+ 1 1) (+ (log (sin phi2)) (log (sin phi2))) (log (* (sin phi2) (sin phi2))) (exp (* (sin phi2) (sin phi2))) (* (* (* (sin phi2) (sin phi2)) (sin phi2)) (* (* (sin phi2) (sin phi2)) (sin phi2))) (* (cbrt (* (sin phi2) (sin phi2))) (cbrt (* (sin phi2) (sin phi2)))) (cbrt (* (sin phi2) (sin phi2))) (* (* (* (sin phi2) (sin phi2)) (* (sin phi2) (sin phi2))) (* (sin phi2) (sin phi2))) (sqrt (* (sin phi2) (sin phi2))) (sqrt (* (sin phi2) (sin phi2))) (* (* (cbrt (sin phi2)) (cbrt (sin phi2))) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (cbrt (sin phi2)) (cbrt (sin phi2))) (* (sqrt (sin phi2)) (sqrt (sin phi2))) (* (sqrt (sin phi2)) (sqrt (sin phi2))) (* 1 1) (* (sin phi2) (sin phi2)) (* (sqrt (sin phi2)) (sqrt (sin phi2))) (* (sqrt (sin phi2)) (sqrt (sin phi2))) (* 2 1) (* (sin phi2) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi2) (sqrt (sin phi2))) (* (sin phi2) 1) (* (cbrt (sin phi2)) (sin phi2)) (* (sqrt (sin phi2)) (sin phi2)) (* (sin phi2) (sin phi2)) (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) (+ (log (acos (+ (cbrt (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (log R)) (log (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (exp (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (* (* (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (acos (+ (cbrt (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (acos (+ (cbrt (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (* (* R R) R)) (* (cbrt (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (cbrt (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R))) (cbrt (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (* (* (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (sqrt (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (sqrt (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (* (sqrt (acos (+ (cbrt (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt R)) (* (sqrt (acos (+ (cbrt (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt R)) (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (* (cbrt R) (cbrt R))) (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (sqrt R)) (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) 1) (* (cbrt (acos (+ (cbrt (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) R) (* (sqrt (acos (+ (cbrt (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) R) (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) (- (+ (pow phi2 2) (* 2/45 (pow phi2 6))) (* 1/3 (pow phi2 4))) (pow (sin phi2) 2) (pow (sin phi2) 2) (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) R) 3.444 * [simplify]: Sending expressions to egg_math: (log (cbrt (* (* (* (sin h1) (sin h1)) (sin h1)) (* (* (sin h0) (sin h0)) (sin h0))))) (exp (cbrt (* (* (* (sin h1) (sin h1)) (sin h1)) (* (* (sin h0) (sin h0)) (sin h0))))) (cbrt (* (* (sin h1) (sin h1)) (sin h1))) (cbrt (* (* (sin h0) (sin h0)) (sin h0))) (cbrt (* (* (- (cos (- h1 h1)) (cos (+ h1 h1))) (sin h1)) (* (- (cos (- h0 h0)) (cos (+ h0 h0))) (sin h0)))) (cbrt (* 2 2)) (cbrt (* (* (* (sin h1) (sin h1)) (sin h1)) (* (- (cos (- h0 h0)) (cos (+ h0 h0))) (sin h0)))) (cbrt 2) (cbrt (* (* (- (cos (- h1 h1)) (cos (+ h1 h1))) (sin h1)) (* (* (sin h0) (sin h0)) (sin h0)))) (cbrt 2) (* (cbrt (cbrt (* (* (* (sin h1) (sin h1)) (sin h1)) (* (* (sin h0) (sin h0)) (sin h0))))) (cbrt (cbrt (* (* (* (sin h1) (sin h1)) (sin h1)) (* (* (sin h0) (sin h0)) (sin h0)))))) (cbrt (cbrt (* (* (* (sin h1) (sin h1)) (sin h1)) (* (* (sin h0) (sin h0)) (sin h0))))) (* (* (cbrt (* (* (* (sin h1) (sin h1)) (sin h1)) (* (* (sin h0) (sin h0)) (sin h0)))) (cbrt (* (* (* (sin h1) (sin h1)) (sin h1)) (* (* (sin h0) (sin h0)) (sin h0))))) (cbrt (* (* (* (sin h1) (sin h1)) (sin h1)) (* (* (sin h0) (sin h0)) (sin h0))))) (sqrt (cbrt (* (* (* (sin h1) (sin h1)) (sin h1)) (* (* (sin h0) (sin h0)) (sin h0))))) (sqrt (cbrt (* (* (* (sin h1) (sin h1)) (sin h1)) (* (* (sin h0) (sin h0)) (sin h0))))) (/ h2 2) (asin (+ (cbrt (* (* (* (sin h1) (sin h1)) (sin h1)) (* (* (sin h0) (sin h0)) (sin h0)))) (* (* (cos h1) (cos h0)) (- (* (cos h4) (cos h3)) (* (sin h4) (sin (- h3))))))) (log (acos (+ (cbrt (* (* (* (sin h1) (sin h1)) (sin h1)) (* (* (sin h0) (sin h0)) (sin h0)))) (* (* (cos h1) (cos h0)) (- (* (cos h4) (cos h3)) (* (sin h4) (sin (- h3)))))))) (exp (acos (+ (cbrt (* (* (* (sin h1) (sin h1)) (sin h1)) (* (* (sin h0) (sin h0)) (sin h0)))) (* (* (cos h1) (cos h0)) (- (* (cos h4) (cos h3)) (* (sin h4) (sin (- h3)))))))) (* (cbrt (acos (+ (cbrt (* (* (* (sin h1) (sin h1)) (sin h1)) (* (* (sin h0) (sin h0)) (sin h0)))) (* (* (cos h1) (cos h0)) (- (* (cos h4) (cos h3)) (* (sin h4) (sin (- h3)))))))) (cbrt (acos (+ (cbrt (* (* (* (sin h1) (sin h1)) (sin h1)) (* (* (sin h0) (sin h0)) (sin h0)))) (* (* (cos h1) (cos h0)) (- (* (cos h4) (cos h3)) (* (sin h4) (sin (- h3))))))))) (cbrt (acos (+ (cbrt (* (* (* (sin h1) (sin h1)) (sin h1)) (* (* (sin h0) (sin h0)) (sin h0)))) (* (* (cos h1) (cos h0)) (- (* (cos h4) (cos h3)) (* (sin h4) (sin (- h3)))))))) (* (* (acos (+ (cbrt (* (* (* (sin h1) (sin h1)) (sin h1)) (* (* (sin h0) (sin h0)) (sin h0)))) (* (* (cos h1) (cos h0)) (- (* (cos h4) (cos h3)) (* (sin h4) (sin (- h3))))))) (acos (+ (cbrt (* (* (* (sin h1) (sin h1)) (sin h1)) (* (* (sin h0) (sin h0)) (sin h0)))) (* (* (cos h1) (cos h0)) (- (* (cos h4) (cos h3)) (* (sin h4) (sin (- h3)))))))) (acos (+ (cbrt (* (* (* (sin h1) (sin h1)) (sin h1)) (* (* (sin h0) (sin h0)) (sin h0)))) (* (* (cos h1) (cos h0)) (- (* (cos h4) (cos h3)) (* (sin h4) (sin (- h3)))))))) (sqrt (acos (+ (cbrt (* (* (* (sin h1) (sin h1)) (sin h1)) (* (* (sin h0) (sin h0)) (sin h0)))) (* (* (cos h1) (cos h0)) (- (* (cos h4) (cos h3)) (* (sin h4) (sin (- h3)))))))) (sqrt (acos (+ (cbrt (* (* (* (sin h1) (sin h1)) (sin h1)) (* (* (sin h0) (sin h0)) (sin h0)))) (* (* (cos h1) (cos h0)) (- (* (cos h4) (cos h3)) (* (sin h4) (sin (- h3)))))))) (* 1/2 (cos (* 2 h0))) (- (cos (- h0 h0)) (cos (+ h0 h0))) (+ 1 1) (* (sin h0) (sin h0)) (+ 1 1) (+ (log (sin h0)) (log (sin h0))) (log (* (sin h0) (sin h0))) (exp (* (sin h0) (sin h0))) (* (* (* (sin h0) (sin h0)) (sin h0)) (* (* (sin h0) (sin h0)) (sin h0))) (* (cbrt (* (sin h0) (sin h0))) (cbrt (* (sin h0) (sin h0)))) (cbrt (* (sin h0) (sin h0))) (* (* (* (sin h0) (sin h0)) (* (sin h0) (sin h0))) (* (sin h0) (sin h0))) (sqrt (* (sin h0) (sin h0))) (sqrt (* (sin h0) (sin h0))) (* (* (cbrt (sin h0)) (cbrt (sin h0))) (* (cbrt (sin h0)) (cbrt (sin h0)))) (* (cbrt (sin h0)) (cbrt (sin h0))) (* (sqrt (sin h0)) (sqrt (sin h0))) (* (sqrt (sin h0)) (sqrt (sin h0))) (* 1 1) (* (sin h0) (sin h0)) (* (sqrt (sin h0)) (sqrt (sin h0))) (* (sqrt (sin h0)) (sqrt (sin h0))) (* 2 1) (* (sin h0) (* (cbrt (sin h0)) (cbrt (sin h0)))) (* (sin h0) (sqrt (sin h0))) (* (sin h0) 1) (* (cbrt (sin h0)) (sin h0)) (* (sqrt (sin h0)) (sin h0)) (* (sin h0) (sin h0)) (* (acos (+ (cbrt (* (* (* (sin h1) (sin h1)) (sin h1)) (* (* (sin h0) (sin h0)) (sin h0)))) (* (* (cos h1) (cos h0)) (- (* (cos h4) (cos h3)) (* (sin h4) (sin (- h3))))))) h5) (+ (log (acos (+ (cbrt (* (* (* (sin h1) (sin h1)) (sin h1)) (* (* (sin h0) (sin h0)) (sin h0)))) (* (* (cos h1) (cos h0)) (- (* (cos h4) (cos h3)) (* (sin h4) (sin (- h3)))))))) (log h5)) (log (* (acos (+ (cbrt (* (* (* (sin h1) (sin h1)) (sin h1)) (* (* (sin h0) (sin h0)) (sin h0)))) (* (* (cos h1) (cos h0)) (- (* (cos h4) (cos h3)) (* (sin h4) (sin (- h3))))))) h5)) (exp (* (acos (+ (cbrt (* (* (* (sin h1) (sin h1)) (sin h1)) (* (* (sin h0) (sin h0)) (sin h0)))) (* (* (cos h1) (cos h0)) (- (* (cos h4) (cos h3)) (* (sin h4) (sin (- h3))))))) h5)) (* (* (* (acos (+ (cbrt (* (* (* (sin h1) (sin h1)) (sin h1)) (* (* (sin h0) (sin h0)) (sin h0)))) (* (* (cos h1) (cos h0)) (- (* (cos h4) (cos h3)) (* (sin h4) (sin (- h3))))))) (acos (+ (cbrt (* (* (* (sin h1) (sin h1)) (sin h1)) (* (* (sin h0) (sin h0)) (sin h0)))) (* (* (cos h1) (cos h0)) (- (* (cos h4) (cos h3)) (* (sin h4) (sin (- h3)))))))) (acos (+ (cbrt (* (* (* (sin h1) (sin h1)) (sin h1)) (* (* (sin h0) (sin h0)) (sin h0)))) (* (* (cos h1) (cos h0)) (- (* (cos h4) (cos h3)) (* (sin h4) (sin (- h3)))))))) (* (* h5 h5) h5)) (* (cbrt (* (acos (+ (cbrt (* (* (* (sin h1) (sin h1)) (sin h1)) (* (* (sin h0) (sin h0)) (sin h0)))) (* (* (cos h1) (cos h0)) (- (* (cos h4) (cos h3)) (* (sin h4) (sin (- h3))))))) h5)) (cbrt (* (acos (+ (cbrt (* (* (* (sin h1) (sin h1)) (sin h1)) (* (* (sin h0) (sin h0)) (sin h0)))) (* (* (cos h1) (cos h0)) (- (* (cos h4) (cos h3)) (* (sin h4) (sin (- h3))))))) h5))) (cbrt (* (acos (+ (cbrt (* (* (* (sin h1) (sin h1)) (sin h1)) (* (* (sin h0) (sin h0)) (sin h0)))) (* (* (cos h1) (cos h0)) (- (* (cos h4) (cos h3)) (* (sin h4) (sin (- h3))))))) h5)) (* (* (* (acos (+ (cbrt (* (* (* (sin h1) (sin h1)) (sin h1)) (* (* (sin h0) (sin h0)) (sin h0)))) (* (* (cos h1) (cos h0)) (- (* (cos h4) (cos h3)) (* (sin h4) (sin (- h3))))))) h5) (* (acos (+ (cbrt (* (* (* (sin h1) (sin h1)) (sin h1)) (* (* (sin h0) (sin h0)) (sin h0)))) (* (* (cos h1) (cos h0)) (- (* (cos h4) (cos h3)) (* (sin h4) (sin (- h3))))))) h5)) (* (acos (+ (cbrt (* (* (* (sin h1) (sin h1)) (sin h1)) (* (* (sin h0) (sin h0)) (sin h0)))) (* (* (cos h1) (cos h0)) (- (* (cos h4) (cos h3)) (* (sin h4) (sin (- h3))))))) h5)) (sqrt (* (acos (+ (cbrt (* (* (* (sin h1) (sin h1)) (sin h1)) (* (* (sin h0) (sin h0)) (sin h0)))) (* (* (cos h1) (cos h0)) (- (* (cos h4) (cos h3)) (* (sin h4) (sin (- h3))))))) h5)) (sqrt (* (acos (+ (cbrt (* (* (* (sin h1) (sin h1)) (sin h1)) (* (* (sin h0) (sin h0)) (sin h0)))) (* (* (cos h1) (cos h0)) (- (* (cos h4) (cos h3)) (* (sin h4) (sin (- h3))))))) h5)) (* (sqrt (acos (+ (cbrt (* (* (* (sin h1) (sin h1)) (sin h1)) (* (* (sin h0) (sin h0)) (sin h0)))) (* (* (cos h1) (cos h0)) (- (* (cos h4) (cos h3)) (* (sin h4) (sin (- h3)))))))) (sqrt h5)) (* (sqrt (acos (+ (cbrt (* (* (* (sin h1) (sin h1)) (sin h1)) (* (* (sin h0) (sin h0)) (sin h0)))) (* (* (cos h1) (cos h0)) (- (* (cos h4) (cos h3)) (* (sin h4) (sin (- h3)))))))) (sqrt h5)) (* (acos (+ (cbrt (* (* (* (sin h1) (sin h1)) (sin h1)) (* (* (sin h0) (sin h0)) (sin h0)))) (* (* (cos h1) (cos h0)) (- (* (cos h4) (cos h3)) (* (sin h4) (sin (- h3))))))) (* (cbrt h5) (cbrt h5))) (* (acos (+ (cbrt (* (* (* (sin h1) (sin h1)) (sin h1)) (* (* (sin h0) (sin h0)) (sin h0)))) (* (* (cos h1) (cos h0)) (- (* (cos h4) (cos h3)) (* (sin h4) (sin (- h3))))))) (sqrt h5)) (* (acos (+ (cbrt (* (* (* (sin h1) (sin h1)) (sin h1)) (* (* (sin h0) (sin h0)) (sin h0)))) (* (* (cos h1) (cos h0)) (- (* (cos h4) (cos h3)) (* (sin h4) (sin (- h3))))))) 1) (* (cbrt (acos (+ (cbrt (* (* (* (sin h1) (sin h1)) (sin h1)) (* (* (sin h0) (sin h0)) (sin h0)))) (* (* (cos h1) (cos h0)) (- (* (cos h4) (cos h3)) (* (sin h4) (sin (- h3)))))))) h5) (* (sqrt (acos (+ (cbrt (* (* (* (sin h1) (sin h1)) (sin h1)) (* (* (sin h0) (sin h0)) (sin h0)))) (* (* (cos h1) (cos h0)) (- (* (cos h4) (cos h3)) (* (sin h4) (sin (- h3)))))))) h5) (* (acos (+ (cbrt (* (* (* (sin h1) (sin h1)) (sin h1)) (* (* (sin h0) (sin h0)) (sin h0)))) (* (* (cos h1) (cos h0)) (- (* (cos h4) (cos h3)) (* (sin h4) (sin (- h3))))))) h5) (* h0 h1) (* (sin h1) (sin h0)) (* (sin h1) (sin h0)) (acos (- (+ (* (sin h1) (sin h0)) (* (cos h4) (* (cos h1) (* (cos h0) (cos h3))))) (* (sin h4) (* (cos h1) (* (cos h0) (sin (- h3))))))) (acos (- (+ (* (sin h1) (sin h0)) (* (cos h4) (* (cos h1) (* (cos h0) (cos h3))))) (* (sin h4) (* (cos h1) (* (cos h0) (sin (- h3))))))) (acos (- (+ (* (sin h1) (sin h0)) (* (cos h4) (* (cos h1) (* (cos h0) (cos h3))))) (* (sin h4) (* (cos h1) (* (cos h0) (sin (* -1 h3))))))) (- (+ (pow h0 2) (* 2/45 (pow h0 6))) (* 1/3 (pow h0 4))) (pow (sin h0) 2) (pow (sin h0) 2) (* (acos (- (+ (* (sin h1) (sin h0)) (* (cos h4) (* (cos h1) (* (cos h0) (cos h3))))) (* (sin h4) (* (cos h1) (* (cos h0) (sin (- h3))))))) h5) (* (acos (- (+ (* (sin h1) (sin h0)) (* (cos h4) (* (cos h1) (* (cos h0) (cos h3))))) (* (sin h4) (* (cos h1) (* (cos h0) (sin (- h3))))))) h5) (* (acos (- (+ (* (sin h1) (sin h0)) (* (cos h4) (* (cos h1) (* (cos h0) (cos h3))))) (* (sin h4) (* (cos h1) (* (cos h0) (sin (* -1 h3))))))) h5) 3.478 * * * [progress]: adding candidates to table 3.912 * [progress]: [Phase 3 of 3] Extracting. 3.912 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # #) 3.929 * * * [regime-changes]: Trying 7 branch expressions: ((- lambda1 lambda2) (cos (- lambda1 lambda2)) phi2 phi1 lambda2 lambda1 R) 3.930 * * * * [regimes]: Trying to branch on (- lambda1 lambda2) from (# # # # # # # # # # # # # #) 4.041 * * * * [regimes]: Trying to branch on (cos (- lambda1 lambda2)) from (# # # # # # # # # # # # # #) 4.155 * * * * [regimes]: Trying to branch on phi2 from (# # # # # # # # # # # # # #) 4.267 * * * * [regimes]: Trying to branch on phi1 from (# # # # # # # # # # # # # #) 4.379 * * * * [regimes]: Trying to branch on lambda2 from (# # # # # # # # # # # # # #) 4.492 * * * * [regimes]: Trying to branch on lambda1 from (# # # # # # # # # # # # # #) 4.604 * * * * [regimes]: Trying to branch on R from (# # # # # # # # # # # # # #) 4.715 * * * [regime]: Found split indices: #