8.083 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.284 * * * [progress]: [2/2] Setting up program. 0.289 * [progress]: [Phase 2 of 3] Improving. 0.289 * [simplify]: Simplifying: (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 0.289 * [simplify]: Sending expressions to egg_math: (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (cos (- h2 h1))))) h0) 0.291 * * [simplify]: iteration 0 : 26 enodes (cost 12 ) 0.292 * * [simplify]: iteration 1 : 34 enodes (cost 12 ) 0.293 * * [simplify]: iteration 2 : 36 enodes (cost 12 ) 0.295 * * [simplify]: iteration 3 : 36 enodes (cost 12 ) 0.295 * * [progress]: iteration 1 / 4 0.295 * * * [progress]: picking best candidate 0.299 * * * * [pick]: Picked # 0.299 * * * [progress]: localizing error 0.333 * * * [progress]: generating rewritten candidates 0.333 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2) 0.344 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.346 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.352 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 0.365 * * * [progress]: generating series expansions 0.365 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2) 0.365 * [backup-simplify]: Simplify (cos (- lambda1 lambda2)) into (cos (- lambda1 lambda2)) 0.365 * [approximate]: Taking taylor expansion of (cos (- lambda1 lambda2)) in (lambda1 lambda2) around 0 0.365 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2 0.365 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2 0.365 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.365 * [backup-simplify]: Simplify lambda1 into lambda1 0.365 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.365 * [backup-simplify]: Simplify 0 into 0 0.365 * [backup-simplify]: Simplify 1 into 1 0.366 * [backup-simplify]: Simplify (- 0) into 0 0.366 * [backup-simplify]: Simplify (+ lambda1 0) into lambda1 0.366 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 0.366 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 0.366 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.366 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.366 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.366 * [backup-simplify]: Simplify 0 into 0 0.366 * [backup-simplify]: Simplify 1 into 1 0.366 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.366 * [backup-simplify]: Simplify lambda2 into lambda2 0.366 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 0.366 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2) 0.366 * [backup-simplify]: Simplify (cos (- lambda2)) into (cos (- lambda2)) 0.366 * [backup-simplify]: Simplify (sin (- lambda2)) into (sin (- lambda2)) 0.366 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.366 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.366 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.366 * [backup-simplify]: Simplify 0 into 0 0.366 * [backup-simplify]: Simplify 1 into 1 0.366 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.366 * [backup-simplify]: Simplify lambda2 into lambda2 0.366 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 0.366 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2) 0.366 * [backup-simplify]: Simplify (cos (- lambda2)) into (cos (- lambda2)) 0.366 * [backup-simplify]: Simplify (sin (- lambda2)) into (sin (- lambda2)) 0.367 * [backup-simplify]: Simplify (* (cos (- lambda2)) 1) into (cos (- lambda2)) 0.367 * [backup-simplify]: Simplify (* (sin (- lambda2)) 0) into 0 0.367 * [backup-simplify]: Simplify (- 0) into 0 0.367 * [backup-simplify]: Simplify (+ (cos (- lambda2)) 0) into (cos (- lambda2)) 0.367 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.367 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.367 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.367 * [backup-simplify]: Simplify 0 into 0 0.367 * [backup-simplify]: Simplify 1 into 1 0.368 * [backup-simplify]: Simplify (- 0) into 0 0.368 * [backup-simplify]: Simplify (- 1) into -1 0.368 * [backup-simplify]: Simplify 1 into 1 0.369 * [backup-simplify]: Simplify (+ 0) into 0 0.369 * [backup-simplify]: Simplify (+ (* (cos (- lambda2)) 0) (* 0 1)) into 0 0.369 * [backup-simplify]: Simplify (- 0) into 0 0.370 * [backup-simplify]: Simplify (+ 1 0) into 1 0.370 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 0.370 * [backup-simplify]: Simplify (+ (* (sin (- lambda2)) 1) (* 0 0)) into (sin (- lambda2)) 0.370 * [backup-simplify]: Simplify (- (sin (- lambda2))) into (- (sin (- lambda2))) 0.371 * [backup-simplify]: Simplify (+ 0 (- (sin (- lambda2)))) into (- (sin (- lambda2))) 0.371 * [taylor]: Taking taylor expansion of (- (sin (- lambda2))) in lambda2 0.371 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 0.371 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.371 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.371 * [backup-simplify]: Simplify 0 into 0 0.371 * [backup-simplify]: Simplify 1 into 1 0.371 * [backup-simplify]: Simplify (- 0) into 0 0.371 * [backup-simplify]: Simplify (- 1) into -1 0.371 * [backup-simplify]: Simplify (- 0) into 0 0.371 * [backup-simplify]: Simplify 0 into 0 0.372 * [backup-simplify]: Simplify (+ 0) into 0 0.372 * [backup-simplify]: Simplify 0 into 0 0.372 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.373 * [backup-simplify]: Simplify (+ (* (cos (- lambda2)) -1/2) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (cos (- lambda2)))) 0.373 * [backup-simplify]: Simplify (- 0) into 0 0.373 * [backup-simplify]: Simplify (+ 0 0) into 0 0.373 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.374 * [backup-simplify]: Simplify (+ (* (sin (- lambda2)) 0) (+ (* 0 1) (* 0 0))) into 0 0.374 * [backup-simplify]: Simplify (- 0) into 0 0.374 * [backup-simplify]: Simplify (+ (- (* 1/2 (cos (- lambda2)))) 0) into (- (* 1/2 (cos (- lambda2)))) 0.374 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda2)))) in lambda2 0.374 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda2))) in lambda2 0.374 * [taylor]: Taking taylor expansion of 1/2 in lambda2 0.374 * [backup-simplify]: Simplify 1/2 into 1/2 0.374 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.374 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.374 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.374 * [backup-simplify]: Simplify 0 into 0 0.374 * [backup-simplify]: Simplify 1 into 1 0.375 * [backup-simplify]: Simplify (- 0) into 0 0.375 * [backup-simplify]: Simplify (- 1) into -1 0.375 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.375 * [backup-simplify]: Simplify (- 1/2) into -1/2 0.375 * [backup-simplify]: Simplify -1/2 into -1/2 0.376 * [backup-simplify]: Simplify (- 1) into -1 0.376 * [backup-simplify]: Simplify (+ (* 1 (/ (pow -1 1) 1))) into -1 0.376 * [backup-simplify]: Simplify (- -1) into 1 0.376 * [backup-simplify]: Simplify 1 into 1 0.376 * [backup-simplify]: Simplify (+ (* 1 (* lambda2 lambda1)) (+ (* -1/2 (pow (* 1 lambda1) 2)) 1)) into (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2))) 0.377 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0.377 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in (lambda1 lambda2) around 0 0.377 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.377 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.377 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.377 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.377 * [backup-simplify]: Simplify lambda1 into lambda1 0.377 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 0.377 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.377 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.377 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify 1 into 1 0.377 * [backup-simplify]: Simplify (/ 1 1) into 1 0.377 * [backup-simplify]: Simplify (- 1) into -1 0.377 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.378 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0.378 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.378 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.378 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.378 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.378 * [backup-simplify]: Simplify 0 into 0 0.378 * [backup-simplify]: Simplify 1 into 1 0.378 * [backup-simplify]: Simplify (/ 1 1) into 1 0.378 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.378 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.378 * [backup-simplify]: Simplify lambda2 into lambda2 0.378 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 0.378 * [backup-simplify]: Simplify (+ 1 0) into 1 0.378 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0.378 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.378 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.378 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.378 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.379 * [backup-simplify]: Simplify 0 into 0 0.379 * [backup-simplify]: Simplify 1 into 1 0.379 * [backup-simplify]: Simplify (/ 1 1) into 1 0.379 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.379 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.379 * [backup-simplify]: Simplify lambda2 into lambda2 0.379 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 0.379 * [backup-simplify]: Simplify (+ 1 0) into 1 0.379 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0.379 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.379 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.379 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.379 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.379 * [backup-simplify]: Simplify lambda1 into lambda1 0.379 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 0.379 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.379 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.379 * [backup-simplify]: Simplify 0 into 0 0.379 * [backup-simplify]: Simplify 1 into 1 0.380 * [backup-simplify]: Simplify (/ 1 1) into 1 0.380 * [backup-simplify]: Simplify (- 1) into -1 0.380 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.380 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0.380 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0.380 * [taylor]: Taking taylor expansion of 0 in lambda2 0.380 * [backup-simplify]: Simplify 0 into 0 0.380 * [backup-simplify]: Simplify 0 into 0 0.380 * [backup-simplify]: Simplify 0 into 0 0.380 * [taylor]: Taking taylor expansion of 0 in lambda2 0.380 * [backup-simplify]: Simplify 0 into 0 0.380 * [backup-simplify]: Simplify 0 into 0 0.380 * [backup-simplify]: Simplify 0 into 0 0.380 * [backup-simplify]: Simplify 0 into 0 0.381 * [taylor]: Taking taylor expansion of 0 in lambda2 0.381 * [backup-simplify]: Simplify 0 into 0 0.381 * [backup-simplify]: Simplify 0 into 0 0.381 * [backup-simplify]: Simplify (cos (- (/ 1 (/ 1 lambda1)) (/ 1 (/ 1 lambda2)))) into (cos (- lambda1 lambda2)) 0.381 * [backup-simplify]: Simplify (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0.381 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in (lambda1 lambda2) around 0 0.381 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.381 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.381 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.381 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.381 * [backup-simplify]: Simplify 0 into 0 0.381 * [backup-simplify]: Simplify 1 into 1 0.381 * [backup-simplify]: Simplify (/ 1 1) into 1 0.381 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.381 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.381 * [backup-simplify]: Simplify lambda1 into lambda1 0.381 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 0.381 * [backup-simplify]: Simplify (+ 1 0) into 1 0.382 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0.382 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.382 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.382 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.382 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.382 * [backup-simplify]: Simplify lambda2 into lambda2 0.382 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 0.382 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.382 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.382 * [backup-simplify]: Simplify 0 into 0 0.382 * [backup-simplify]: Simplify 1 into 1 0.382 * [backup-simplify]: Simplify (/ 1 1) into 1 0.382 * [backup-simplify]: Simplify (- 1) into -1 0.382 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.382 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0.383 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.383 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.383 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.383 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.383 * [backup-simplify]: Simplify lambda2 into lambda2 0.383 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 0.383 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.383 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.383 * [backup-simplify]: Simplify 0 into 0 0.383 * [backup-simplify]: Simplify 1 into 1 0.383 * [backup-simplify]: Simplify (/ 1 1) into 1 0.383 * [backup-simplify]: Simplify (- 1) into -1 0.383 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.383 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0.383 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.384 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.384 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.384 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.384 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify 1 into 1 0.384 * [backup-simplify]: Simplify (/ 1 1) into 1 0.384 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.384 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.384 * [backup-simplify]: Simplify lambda1 into lambda1 0.384 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 0.384 * [backup-simplify]: Simplify (+ 1 0) into 1 0.384 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0.384 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0.384 * [taylor]: Taking taylor expansion of 0 in lambda2 0.384 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify 0 into 0 0.384 * [taylor]: Taking taylor expansion of 0 in lambda2 0.384 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify 0 into 0 0.385 * [backup-simplify]: Simplify 0 into 0 0.385 * [taylor]: Taking taylor expansion of 0 in lambda2 0.385 * [backup-simplify]: Simplify 0 into 0 0.385 * [backup-simplify]: Simplify 0 into 0 0.385 * [backup-simplify]: Simplify (cos (- (/ 1 (/ 1 (- lambda2))) (/ 1 (/ 1 (- lambda1))))) into (cos (- lambda1 lambda2)) 0.385 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.385 * [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))))) 0.385 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 0.385 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.386 * [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))))) 0.386 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.386 * [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))))) 0.386 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.387 * [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))))) 0.387 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.387 * [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))))) 0.387 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.387 * [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))))) 0.387 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.387 * [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))))) 0.387 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.387 * [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))))) 0.387 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.388 * [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))))) 0.388 * [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))))) 0.388 * [taylor]: Taking taylor expansion of 0 in phi2 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [taylor]: Taking taylor expansion of 0 in lambda1 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [taylor]: Taking taylor expansion of 0 in lambda2 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [taylor]: Taking taylor expansion of 0 in lambda1 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [taylor]: Taking taylor expansion of 0 in lambda2 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [taylor]: Taking taylor expansion of 0 in lambda2 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [taylor]: Taking taylor expansion of 0 in phi2 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [taylor]: Taking taylor expansion of 0 in lambda1 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [taylor]: Taking taylor expansion of 0 in lambda2 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [taylor]: Taking taylor expansion of 0 in lambda1 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [taylor]: Taking taylor expansion of 0 in lambda2 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [backup-simplify]: Simplify 0 into 0 0.389 * [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))))) 0.389 * [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))))))) 0.389 * [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 0.389 * [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 0.389 * [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))))))) 0.389 * [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 0.389 * [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))))))) 0.389 * [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 0.390 * [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))))))) 0.390 * [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 0.390 * [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))))))) 0.390 * [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 0.390 * [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))))))) 0.390 * [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 0.391 * [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))))))) 0.391 * [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 0.391 * [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))))))) 0.391 * [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 0.391 * [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))))))) 0.392 * [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))))))) 0.392 * [taylor]: Taking taylor expansion of 0 in phi2 0.392 * [backup-simplify]: Simplify 0 into 0 0.392 * [taylor]: Taking taylor expansion of 0 in lambda1 0.392 * [backup-simplify]: Simplify 0 into 0 0.392 * [taylor]: Taking taylor expansion of 0 in lambda2 0.392 * [backup-simplify]: Simplify 0 into 0 0.392 * [backup-simplify]: Simplify 0 into 0 0.392 * [taylor]: Taking taylor expansion of 0 in lambda1 0.392 * [backup-simplify]: Simplify 0 into 0 0.392 * [taylor]: Taking taylor expansion of 0 in lambda2 0.392 * [backup-simplify]: Simplify 0 into 0 0.392 * [backup-simplify]: Simplify 0 into 0 0.392 * [taylor]: Taking taylor expansion of 0 in lambda2 0.392 * [backup-simplify]: Simplify 0 into 0 0.392 * [backup-simplify]: Simplify 0 into 0 0.392 * [backup-simplify]: Simplify 0 into 0 0.392 * [taylor]: Taking taylor expansion of 0 in phi2 0.392 * [backup-simplify]: Simplify 0 into 0 0.392 * [taylor]: Taking taylor expansion of 0 in lambda1 0.392 * [backup-simplify]: Simplify 0 into 0 0.392 * [taylor]: Taking taylor expansion of 0 in lambda2 0.392 * [backup-simplify]: Simplify 0 into 0 0.392 * [backup-simplify]: Simplify 0 into 0 0.392 * [taylor]: Taking taylor expansion of 0 in lambda1 0.392 * [backup-simplify]: Simplify 0 into 0 0.392 * [taylor]: Taking taylor expansion of 0 in lambda2 0.392 * [backup-simplify]: Simplify 0 into 0 0.392 * [backup-simplify]: Simplify 0 into 0 0.393 * [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))))) 0.393 * [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))))) 0.393 * [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 0.393 * [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 0.393 * [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))))) 0.393 * [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 0.394 * [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))))) 0.394 * [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 0.394 * [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))))) 0.394 * [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 0.394 * [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))))) 0.394 * [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 0.395 * [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))))) 0.395 * [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 0.395 * [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))))) 0.395 * [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 0.395 * [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))))) 0.395 * [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 0.396 * [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))))) 0.396 * [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))))) 0.396 * [taylor]: Taking taylor expansion of 0 in phi2 0.396 * [backup-simplify]: Simplify 0 into 0 0.396 * [taylor]: Taking taylor expansion of 0 in lambda1 0.396 * [backup-simplify]: Simplify 0 into 0 0.396 * [taylor]: Taking taylor expansion of 0 in lambda2 0.396 * [backup-simplify]: Simplify 0 into 0 0.396 * [backup-simplify]: Simplify 0 into 0 0.396 * [taylor]: Taking taylor expansion of 0 in lambda1 0.396 * [backup-simplify]: Simplify 0 into 0 0.396 * [taylor]: Taking taylor expansion of 0 in lambda2 0.396 * [backup-simplify]: Simplify 0 into 0 0.396 * [backup-simplify]: Simplify 0 into 0 0.396 * [taylor]: Taking taylor expansion of 0 in lambda2 0.396 * [backup-simplify]: Simplify 0 into 0 0.396 * [backup-simplify]: Simplify 0 into 0 0.396 * [backup-simplify]: Simplify 0 into 0 0.396 * [taylor]: Taking taylor expansion of 0 in phi2 0.396 * [backup-simplify]: Simplify 0 into 0 0.396 * [taylor]: Taking taylor expansion of 0 in lambda1 0.396 * [backup-simplify]: Simplify 0 into 0 0.396 * [taylor]: Taking taylor expansion of 0 in lambda2 0.396 * [backup-simplify]: Simplify 0 into 0 0.396 * [backup-simplify]: Simplify 0 into 0 0.396 * [taylor]: Taking taylor expansion of 0 in lambda1 0.396 * [backup-simplify]: Simplify 0 into 0 0.396 * [taylor]: Taking taylor expansion of 0 in lambda2 0.396 * [backup-simplify]: Simplify 0 into 0 0.396 * [backup-simplify]: Simplify 0 into 0 0.397 * [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))))) 0.397 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.397 * [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) 0.401 * [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 0.401 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R 0.401 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R 0.402 * [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))))) 0.402 * [taylor]: Taking taylor expansion of R in R 0.402 * [backup-simplify]: Simplify 0 into 0 0.402 * [backup-simplify]: Simplify 1 into 1 0.402 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2 0.402 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.402 * [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))))) 0.402 * [taylor]: Taking taylor expansion of R in lambda2 0.402 * [backup-simplify]: Simplify R into R 0.402 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1 0.402 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.402 * [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))))) 0.402 * [taylor]: Taking taylor expansion of R in lambda1 0.402 * [backup-simplify]: Simplify R into R 0.402 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2 0.402 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.402 * [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))))) 0.402 * [taylor]: Taking taylor expansion of R in phi2 0.402 * [backup-simplify]: Simplify R into R 0.402 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1 0.403 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.403 * [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))))) 0.403 * [taylor]: Taking taylor expansion of R in phi1 0.403 * [backup-simplify]: Simplify R into R 0.403 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1 0.403 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.403 * [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))))) 0.403 * [taylor]: Taking taylor expansion of R in phi1 0.403 * [backup-simplify]: Simplify R into R 0.403 * [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) 0.403 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2 0.403 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.403 * [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))))) 0.403 * [taylor]: Taking taylor expansion of R in phi2 0.403 * [backup-simplify]: Simplify R into R 0.404 * [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) 0.404 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1 0.404 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.404 * [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))))) 0.404 * [taylor]: Taking taylor expansion of R in lambda1 0.404 * [backup-simplify]: Simplify R into R 0.404 * [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) 0.404 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2 0.404 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.404 * [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))))) 0.404 * [taylor]: Taking taylor expansion of R in lambda2 0.404 * [backup-simplify]: Simplify R into R 0.405 * [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) 0.405 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R 0.405 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R 0.405 * [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))))) 0.405 * [taylor]: Taking taylor expansion of R in R 0.405 * [backup-simplify]: Simplify 0 into 0 0.405 * [backup-simplify]: Simplify 1 into 1 0.405 * [backup-simplify]: Simplify (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) 0) into 0 0.405 * [backup-simplify]: Simplify 0 into 0 0.405 * [backup-simplify]: Simplify (+ (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) 0) (* 0 R)) into 0 0.405 * [taylor]: Taking taylor expansion of 0 in phi2 0.405 * [backup-simplify]: Simplify 0 into 0 0.405 * [taylor]: Taking taylor expansion of 0 in lambda1 0.405 * [backup-simplify]: Simplify 0 into 0 0.405 * [taylor]: Taking taylor expansion of 0 in lambda2 0.405 * [backup-simplify]: Simplify 0 into 0 0.405 * [taylor]: Taking taylor expansion of 0 in R 0.405 * [backup-simplify]: Simplify 0 into 0 0.405 * [backup-simplify]: Simplify 0 into 0 0.406 * [backup-simplify]: Simplify (+ (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) 0) (* 0 R)) into 0 0.406 * [taylor]: Taking taylor expansion of 0 in lambda1 0.406 * [backup-simplify]: Simplify 0 into 0 0.406 * [taylor]: Taking taylor expansion of 0 in lambda2 0.406 * [backup-simplify]: Simplify 0 into 0 0.406 * [taylor]: Taking taylor expansion of 0 in R 0.406 * [backup-simplify]: Simplify 0 into 0 0.406 * [backup-simplify]: Simplify 0 into 0 0.406 * [backup-simplify]: Simplify (+ (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) 0) (* 0 R)) into 0 0.406 * [taylor]: Taking taylor expansion of 0 in lambda2 0.406 * [backup-simplify]: Simplify 0 into 0 0.406 * [taylor]: Taking taylor expansion of 0 in R 0.406 * [backup-simplify]: Simplify 0 into 0 0.406 * [backup-simplify]: Simplify 0 into 0 0.406 * [backup-simplify]: Simplify (+ (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) 0) (* 0 R)) into 0 0.406 * [taylor]: Taking taylor expansion of 0 in R 0.406 * [backup-simplify]: Simplify 0 into 0 0.406 * [backup-simplify]: Simplify 0 into 0 0.407 * [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))))) 0.407 * [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))))) 0.408 * [backup-simplify]: Simplify (+ (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) 0) (+ (* 0 0) (* 0 R))) into 0 0.408 * [taylor]: Taking taylor expansion of 0 in phi2 0.408 * [backup-simplify]: Simplify 0 into 0 0.408 * [taylor]: Taking taylor expansion of 0 in lambda1 0.408 * [backup-simplify]: Simplify 0 into 0 0.408 * [taylor]: Taking taylor expansion of 0 in lambda2 0.408 * [backup-simplify]: Simplify 0 into 0 0.408 * [taylor]: Taking taylor expansion of 0 in R 0.408 * [backup-simplify]: Simplify 0 into 0 0.408 * [backup-simplify]: Simplify 0 into 0 0.408 * [taylor]: Taking taylor expansion of 0 in lambda1 0.408 * [backup-simplify]: Simplify 0 into 0 0.408 * [taylor]: Taking taylor expansion of 0 in lambda2 0.408 * [backup-simplify]: Simplify 0 into 0 0.408 * [taylor]: Taking taylor expansion of 0 in R 0.408 * [backup-simplify]: Simplify 0 into 0 0.408 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify (+ (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) 0) (+ (* 0 0) (* 0 R))) into 0 0.409 * [taylor]: Taking taylor expansion of 0 in lambda1 0.409 * [backup-simplify]: Simplify 0 into 0 0.409 * [taylor]: Taking taylor expansion of 0 in lambda2 0.409 * [backup-simplify]: Simplify 0 into 0 0.409 * [taylor]: Taking taylor expansion of 0 in R 0.409 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify 0 into 0 0.409 * [taylor]: Taking taylor expansion of 0 in lambda2 0.409 * [backup-simplify]: Simplify 0 into 0 0.409 * [taylor]: Taking taylor expansion of 0 in R 0.409 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify 0 into 0 0.409 * [taylor]: Taking taylor expansion of 0 in lambda2 0.409 * [backup-simplify]: Simplify 0 into 0 0.409 * [taylor]: Taking taylor expansion of 0 in R 0.409 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify 0 into 0 0.410 * [backup-simplify]: Simplify (+ (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) 0) (+ (* 0 0) (* 0 R))) into 0 0.410 * [taylor]: Taking taylor expansion of 0 in lambda2 0.410 * [backup-simplify]: Simplify 0 into 0 0.410 * [taylor]: Taking taylor expansion of 0 in R 0.410 * [backup-simplify]: Simplify 0 into 0 0.410 * [backup-simplify]: Simplify 0 into 0 0.410 * [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) 0.411 * [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) 0.411 * [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 0.411 * [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 0.411 * [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 0.411 * [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))))))) 0.411 * [taylor]: Taking taylor expansion of R in R 0.411 * [backup-simplify]: Simplify 0 into 0 0.411 * [backup-simplify]: Simplify 1 into 1 0.411 * [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))))))) 0.411 * [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 0.411 * [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 0.412 * [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))))))) 0.412 * [taylor]: Taking taylor expansion of R in lambda2 0.412 * [backup-simplify]: Simplify R into R 0.412 * [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) 0.412 * [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 0.412 * [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 0.412 * [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))))))) 0.412 * [taylor]: Taking taylor expansion of R in lambda1 0.412 * [backup-simplify]: Simplify R into R 0.413 * [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) 0.413 * [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 0.413 * [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 0.413 * [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))))))) 0.413 * [taylor]: Taking taylor expansion of R in phi2 0.413 * [backup-simplify]: Simplify R into R 0.413 * [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) 0.413 * [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 0.413 * [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 0.414 * [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))))))) 0.414 * [taylor]: Taking taylor expansion of R in phi1 0.414 * [backup-simplify]: Simplify R into R 0.414 * [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) 0.414 * [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 0.414 * [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 0.414 * [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))))))) 0.414 * [taylor]: Taking taylor expansion of R in phi1 0.414 * [backup-simplify]: Simplify R into R 0.415 * [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) 0.415 * [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 0.415 * [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 0.415 * [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))))))) 0.415 * [taylor]: Taking taylor expansion of R in phi2 0.415 * [backup-simplify]: Simplify R into R 0.415 * [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) 0.415 * [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 0.415 * [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 0.416 * [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))))))) 0.416 * [taylor]: Taking taylor expansion of R in lambda1 0.416 * [backup-simplify]: Simplify R into R 0.416 * [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) 0.416 * [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 0.416 * [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 0.416 * [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))))))) 0.416 * [taylor]: Taking taylor expansion of R in lambda2 0.416 * [backup-simplify]: Simplify R into R 0.417 * [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) 0.417 * [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 0.417 * [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 0.417 * [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))))))) 0.417 * [taylor]: Taking taylor expansion of R in R 0.417 * [backup-simplify]: Simplify 0 into 0 0.417 * [backup-simplify]: Simplify 1 into 1 0.417 * [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))))))) 0.418 * [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))))))) 0.418 * [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 0.418 * [taylor]: Taking taylor expansion of 0 in phi2 0.418 * [backup-simplify]: Simplify 0 into 0 0.418 * [taylor]: Taking taylor expansion of 0 in lambda1 0.418 * [backup-simplify]: Simplify 0 into 0 0.418 * [taylor]: Taking taylor expansion of 0 in lambda2 0.418 * [backup-simplify]: Simplify 0 into 0 0.418 * [taylor]: Taking taylor expansion of 0 in R 0.418 * [backup-simplify]: Simplify 0 into 0 0.419 * [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 0.419 * [taylor]: Taking taylor expansion of 0 in lambda1 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [taylor]: Taking taylor expansion of 0 in lambda2 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [taylor]: Taking taylor expansion of 0 in R 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [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 0.419 * [taylor]: Taking taylor expansion of 0 in lambda2 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [taylor]: Taking taylor expansion of 0 in R 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [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 0.419 * [taylor]: Taking taylor expansion of 0 in R 0.419 * [backup-simplify]: Simplify 0 into 0 0.420 * [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 0.420 * [backup-simplify]: Simplify 0 into 0 0.421 * [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 0.421 * [taylor]: Taking taylor expansion of 0 in phi2 0.421 * [backup-simplify]: Simplify 0 into 0 0.421 * [taylor]: Taking taylor expansion of 0 in lambda1 0.421 * [backup-simplify]: Simplify 0 into 0 0.421 * [taylor]: Taking taylor expansion of 0 in lambda2 0.421 * [backup-simplify]: Simplify 0 into 0 0.421 * [taylor]: Taking taylor expansion of 0 in R 0.421 * [backup-simplify]: Simplify 0 into 0 0.421 * [taylor]: Taking taylor expansion of 0 in lambda1 0.421 * [backup-simplify]: Simplify 0 into 0 0.421 * [taylor]: Taking taylor expansion of 0 in lambda2 0.421 * [backup-simplify]: Simplify 0 into 0 0.421 * [taylor]: Taking taylor expansion of 0 in R 0.421 * [backup-simplify]: Simplify 0 into 0 0.421 * [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 0.421 * [taylor]: Taking taylor expansion of 0 in lambda1 0.421 * [backup-simplify]: Simplify 0 into 0 0.421 * [taylor]: Taking taylor expansion of 0 in lambda2 0.421 * [backup-simplify]: Simplify 0 into 0 0.421 * [taylor]: Taking taylor expansion of 0 in R 0.421 * [backup-simplify]: Simplify 0 into 0 0.422 * [taylor]: Taking taylor expansion of 0 in lambda2 0.422 * [backup-simplify]: Simplify 0 into 0 0.422 * [taylor]: Taking taylor expansion of 0 in R 0.422 * [backup-simplify]: Simplify 0 into 0 0.422 * [taylor]: Taking taylor expansion of 0 in lambda2 0.422 * [backup-simplify]: Simplify 0 into 0 0.422 * [taylor]: Taking taylor expansion of 0 in R 0.422 * [backup-simplify]: Simplify 0 into 0 0.422 * [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 0.422 * [taylor]: Taking taylor expansion of 0 in lambda2 0.422 * [backup-simplify]: Simplify 0 into 0 0.422 * [taylor]: Taking taylor expansion of 0 in R 0.422 * [backup-simplify]: Simplify 0 into 0 0.422 * [taylor]: Taking taylor expansion of 0 in R 0.422 * [backup-simplify]: Simplify 0 into 0 0.422 * [taylor]: Taking taylor expansion of 0 in R 0.422 * [backup-simplify]: Simplify 0 into 0 0.422 * [taylor]: Taking taylor expansion of 0 in R 0.422 * [backup-simplify]: Simplify 0 into 0 0.423 * [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 0.423 * [taylor]: Taking taylor expansion of 0 in R 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify 0 into 0 0.424 * [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 0.424 * [backup-simplify]: Simplify 0 into 0 0.425 * [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) 0.425 * [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)) 0.425 * [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 0.425 * [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 0.425 * [taylor]: Taking taylor expansion of -1 in R 0.425 * [backup-simplify]: Simplify -1 into -1 0.425 * [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 0.425 * [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 0.425 * [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))))) 0.425 * [taylor]: Taking taylor expansion of R in R 0.425 * [backup-simplify]: Simplify 0 into 0 0.425 * [backup-simplify]: Simplify 1 into 1 0.426 * [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))))) 0.426 * [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 0.426 * [taylor]: Taking taylor expansion of -1 in lambda2 0.426 * [backup-simplify]: Simplify -1 into -1 0.426 * [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 0.426 * [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 0.426 * [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))))) 0.426 * [taylor]: Taking taylor expansion of R in lambda2 0.426 * [backup-simplify]: Simplify R into R 0.426 * [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) 0.426 * [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 0.426 * [taylor]: Taking taylor expansion of -1 in lambda1 0.427 * [backup-simplify]: Simplify -1 into -1 0.427 * [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 0.427 * [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 0.427 * [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))))) 0.427 * [taylor]: Taking taylor expansion of R in lambda1 0.427 * [backup-simplify]: Simplify R into R 0.427 * [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) 0.427 * [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 0.427 * [taylor]: Taking taylor expansion of -1 in phi2 0.427 * [backup-simplify]: Simplify -1 into -1 0.427 * [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 0.427 * [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 0.427 * [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))))) 0.428 * [taylor]: Taking taylor expansion of R in phi2 0.428 * [backup-simplify]: Simplify R into R 0.428 * [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) 0.428 * [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 0.428 * [taylor]: Taking taylor expansion of -1 in phi1 0.428 * [backup-simplify]: Simplify -1 into -1 0.428 * [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 0.428 * [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 0.428 * [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))))) 0.428 * [taylor]: Taking taylor expansion of R in phi1 0.428 * [backup-simplify]: Simplify R into R 0.429 * [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) 0.429 * [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 0.429 * [taylor]: Taking taylor expansion of -1 in phi1 0.429 * [backup-simplify]: Simplify -1 into -1 0.429 * [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 0.429 * [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 0.429 * [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))))) 0.429 * [taylor]: Taking taylor expansion of R in phi1 0.429 * [backup-simplify]: Simplify R into R 0.429 * [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) 0.430 * [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)) 0.430 * [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 0.430 * [taylor]: Taking taylor expansion of -1 in phi2 0.430 * [backup-simplify]: Simplify -1 into -1 0.430 * [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 0.430 * [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 0.430 * [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))))) 0.430 * [taylor]: Taking taylor expansion of R in phi2 0.430 * [backup-simplify]: Simplify R into R 0.430 * [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) 0.431 * [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)) 0.431 * [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 0.431 * [taylor]: Taking taylor expansion of -1 in lambda1 0.431 * [backup-simplify]: Simplify -1 into -1 0.431 * [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 0.431 * [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 0.431 * [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))))) 0.431 * [taylor]: Taking taylor expansion of R in lambda1 0.431 * [backup-simplify]: Simplify R into R 0.431 * [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) 0.432 * [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)) 0.432 * [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 0.432 * [taylor]: Taking taylor expansion of -1 in lambda2 0.432 * [backup-simplify]: Simplify -1 into -1 0.432 * [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 0.432 * [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 0.432 * [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))))) 0.432 * [taylor]: Taking taylor expansion of R in lambda2 0.432 * [backup-simplify]: Simplify R into R 0.432 * [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) 0.433 * [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)) 0.433 * [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 0.433 * [taylor]: Taking taylor expansion of -1 in R 0.433 * [backup-simplify]: Simplify -1 into -1 0.433 * [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 0.433 * [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 0.433 * [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))))) 0.433 * [taylor]: Taking taylor expansion of R in R 0.433 * [backup-simplify]: Simplify 0 into 0 0.433 * [backup-simplify]: Simplify 1 into 1 0.433 * [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))))) 0.434 * [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)))))) 0.434 * [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)))))) 0.434 * [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 0.435 * [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 0.435 * [taylor]: Taking taylor expansion of 0 in phi2 0.435 * [backup-simplify]: Simplify 0 into 0 0.435 * [taylor]: Taking taylor expansion of 0 in lambda1 0.435 * [backup-simplify]: Simplify 0 into 0 0.435 * [taylor]: Taking taylor expansion of 0 in lambda2 0.435 * [backup-simplify]: Simplify 0 into 0 0.435 * [taylor]: Taking taylor expansion of 0 in R 0.435 * [backup-simplify]: Simplify 0 into 0 0.435 * [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 0.436 * [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 0.436 * [taylor]: Taking taylor expansion of 0 in lambda1 0.436 * [backup-simplify]: Simplify 0 into 0 0.436 * [taylor]: Taking taylor expansion of 0 in lambda2 0.436 * [backup-simplify]: Simplify 0 into 0 0.436 * [taylor]: Taking taylor expansion of 0 in R 0.436 * [backup-simplify]: Simplify 0 into 0 0.437 * [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 0.437 * [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 0.437 * [taylor]: Taking taylor expansion of 0 in lambda2 0.437 * [backup-simplify]: Simplify 0 into 0 0.437 * [taylor]: Taking taylor expansion of 0 in R 0.437 * [backup-simplify]: Simplify 0 into 0 0.438 * [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 0.438 * [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 0.438 * [taylor]: Taking taylor expansion of 0 in R 0.438 * [backup-simplify]: Simplify 0 into 0 0.439 * [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 0.440 * [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 0.440 * [backup-simplify]: Simplify 0 into 0 0.440 * [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 0.441 * [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 0.441 * [taylor]: Taking taylor expansion of 0 in phi2 0.441 * [backup-simplify]: Simplify 0 into 0 0.441 * [taylor]: Taking taylor expansion of 0 in lambda1 0.441 * [backup-simplify]: Simplify 0 into 0 0.441 * [taylor]: Taking taylor expansion of 0 in lambda2 0.441 * [backup-simplify]: Simplify 0 into 0 0.441 * [taylor]: Taking taylor expansion of 0 in R 0.441 * [backup-simplify]: Simplify 0 into 0 0.441 * [taylor]: Taking taylor expansion of 0 in lambda1 0.441 * [backup-simplify]: Simplify 0 into 0 0.441 * [taylor]: Taking taylor expansion of 0 in lambda2 0.441 * [backup-simplify]: Simplify 0 into 0 0.441 * [taylor]: Taking taylor expansion of 0 in R 0.441 * [backup-simplify]: Simplify 0 into 0 0.441 * [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 0.442 * [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 0.442 * [taylor]: Taking taylor expansion of 0 in lambda1 0.442 * [backup-simplify]: Simplify 0 into 0 0.442 * [taylor]: Taking taylor expansion of 0 in lambda2 0.442 * [backup-simplify]: Simplify 0 into 0 0.442 * [taylor]: Taking taylor expansion of 0 in R 0.443 * [backup-simplify]: Simplify 0 into 0 0.443 * [taylor]: Taking taylor expansion of 0 in lambda2 0.443 * [backup-simplify]: Simplify 0 into 0 0.443 * [taylor]: Taking taylor expansion of 0 in R 0.443 * [backup-simplify]: Simplify 0 into 0 0.443 * [taylor]: Taking taylor expansion of 0 in lambda2 0.443 * [backup-simplify]: Simplify 0 into 0 0.443 * [taylor]: Taking taylor expansion of 0 in R 0.443 * [backup-simplify]: Simplify 0 into 0 0.443 * [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 0.444 * [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 0.444 * [taylor]: Taking taylor expansion of 0 in lambda2 0.444 * [backup-simplify]: Simplify 0 into 0 0.444 * [taylor]: Taking taylor expansion of 0 in R 0.444 * [backup-simplify]: Simplify 0 into 0 0.444 * [taylor]: Taking taylor expansion of 0 in R 0.444 * [backup-simplify]: Simplify 0 into 0 0.444 * [taylor]: Taking taylor expansion of 0 in R 0.444 * [backup-simplify]: Simplify 0 into 0 0.444 * [taylor]: Taking taylor expansion of 0 in R 0.444 * [backup-simplify]: Simplify 0 into 0 0.444 * [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 0.445 * [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 0.445 * [taylor]: Taking taylor expansion of 0 in R 0.445 * [backup-simplify]: Simplify 0 into 0 0.445 * [backup-simplify]: Simplify 0 into 0 0.445 * [backup-simplify]: Simplify 0 into 0 0.445 * [backup-simplify]: Simplify 0 into 0 0.445 * [backup-simplify]: Simplify 0 into 0 0.446 * [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 0.447 * [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 0.447 * [backup-simplify]: Simplify 0 into 0 0.448 * [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) 0.448 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 0.448 * [backup-simplify]: Simplify (* (sin phi1) (sin phi2)) into (* (sin phi1) (sin phi2)) 0.448 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 0.448 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 0.448 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 0.448 * [taylor]: Taking taylor expansion of phi1 in phi2 0.448 * [backup-simplify]: Simplify phi1 into phi1 0.448 * [backup-simplify]: Simplify (sin phi1) into (sin phi1) 0.448 * [backup-simplify]: Simplify (cos phi1) into (cos phi1) 0.448 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.448 * [taylor]: Taking taylor expansion of phi2 in phi2 0.448 * [backup-simplify]: Simplify 0 into 0 0.448 * [backup-simplify]: Simplify 1 into 1 0.448 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.448 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.448 * [taylor]: Taking taylor expansion of phi1 in phi1 0.448 * [backup-simplify]: Simplify 0 into 0 0.448 * [backup-simplify]: Simplify 1 into 1 0.448 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.448 * [taylor]: Taking taylor expansion of phi2 in phi1 0.448 * [backup-simplify]: Simplify phi2 into phi2 0.448 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 0.449 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 0.449 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.449 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.449 * [taylor]: Taking taylor expansion of phi1 in phi1 0.449 * [backup-simplify]: Simplify 0 into 0 0.449 * [backup-simplify]: Simplify 1 into 1 0.449 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.449 * [taylor]: Taking taylor expansion of phi2 in phi1 0.449 * [backup-simplify]: Simplify phi2 into phi2 0.449 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 0.449 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 0.449 * [backup-simplify]: Simplify (* (sin phi2) 1) into (sin phi2) 0.449 * [backup-simplify]: Simplify (* (cos phi2) 0) into 0 0.449 * [backup-simplify]: Simplify (+ (sin phi2) 0) into (sin phi2) 0.449 * [backup-simplify]: Simplify (* 0 (sin phi2)) into 0 0.449 * [taylor]: Taking taylor expansion of 0 in phi2 0.449 * [backup-simplify]: Simplify 0 into 0 0.449 * [backup-simplify]: Simplify 0 into 0 0.449 * [backup-simplify]: Simplify (+ 0) into 0 0.450 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (* 0 1)) into 0 0.450 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.450 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (* 0 0)) into 0 0.451 * [backup-simplify]: Simplify (+ 0 0) into 0 0.451 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 0.451 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin phi2))) into (sin phi2) 0.451 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.451 * [taylor]: Taking taylor expansion of phi2 in phi2 0.451 * [backup-simplify]: Simplify 0 into 0 0.451 * [backup-simplify]: Simplify 1 into 1 0.451 * [backup-simplify]: Simplify 0 into 0 0.451 * [backup-simplify]: Simplify 0 into 0 0.452 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.452 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (* 0 1))) into 0 0.453 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.453 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* 0 0))) into 0 0.453 * [backup-simplify]: Simplify (+ 0 0) into 0 0.454 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.454 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin phi2)))) into 0 0.454 * [taylor]: Taking taylor expansion of 0 in phi2 0.454 * [backup-simplify]: Simplify 0 into 0 0.454 * [backup-simplify]: Simplify 0 into 0 0.455 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 0.455 * [backup-simplify]: Simplify 1 into 1 0.455 * [backup-simplify]: Simplify 0 into 0 0.455 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.456 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.457 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 0.457 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 0.457 * [backup-simplify]: Simplify (+ 0 0) into 0 0.458 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 0.459 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin phi2))))) into (- (* 1/6 (sin phi2))) 0.459 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 0.459 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 0.459 * [taylor]: Taking taylor expansion of 1/6 in phi2 0.459 * [backup-simplify]: Simplify 1/6 into 1/6 0.459 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.459 * [taylor]: Taking taylor expansion of phi2 in phi2 0.459 * [backup-simplify]: Simplify 0 into 0 0.459 * [backup-simplify]: Simplify 1 into 1 0.459 * [backup-simplify]: Simplify (* 1/6 0) into 0 0.459 * [backup-simplify]: Simplify (- 0) into 0 0.459 * [backup-simplify]: Simplify 0 into 0 0.459 * [backup-simplify]: Simplify 0 into 0 0.460 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.460 * [backup-simplify]: Simplify 0 into 0 0.460 * [backup-simplify]: Simplify 0 into 0 0.461 * [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 0.461 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.462 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 0.463 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 0.463 * [backup-simplify]: Simplify (+ 0 0) into 0 0.463 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 0.464 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin phi2)))))) into 0 0.464 * [taylor]: Taking taylor expansion of 0 in phi2 0.464 * [backup-simplify]: Simplify 0 into 0 0.464 * [backup-simplify]: Simplify 0 into 0 0.464 * [backup-simplify]: Simplify (* 1 (* phi2 phi1)) into (* phi2 phi1) 0.465 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 0.465 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 0.465 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.465 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.465 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.465 * [taylor]: Taking taylor expansion of phi1 in phi2 0.465 * [backup-simplify]: Simplify phi1 into phi1 0.465 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 0.465 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 0.465 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 0.465 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.465 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.465 * [taylor]: Taking taylor expansion of phi2 in phi2 0.465 * [backup-simplify]: Simplify 0 into 0 0.465 * [backup-simplify]: Simplify 1 into 1 0.465 * [backup-simplify]: Simplify (/ 1 1) into 1 0.465 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 0.465 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.465 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.465 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.465 * [taylor]: Taking taylor expansion of phi1 in phi1 0.465 * [backup-simplify]: Simplify 0 into 0 0.465 * [backup-simplify]: Simplify 1 into 1 0.466 * [backup-simplify]: Simplify (/ 1 1) into 1 0.466 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 0.466 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.466 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.466 * [taylor]: Taking taylor expansion of phi2 in phi1 0.466 * [backup-simplify]: Simplify phi2 into phi2 0.466 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 0.466 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 0.466 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 0.466 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.466 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.466 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.466 * [taylor]: Taking taylor expansion of phi1 in phi1 0.466 * [backup-simplify]: Simplify 0 into 0 0.466 * [backup-simplify]: Simplify 1 into 1 0.466 * [backup-simplify]: Simplify (/ 1 1) into 1 0.466 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 0.466 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.466 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.466 * [taylor]: Taking taylor expansion of phi2 in phi1 0.466 * [backup-simplify]: Simplify phi2 into phi2 0.466 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 0.466 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 0.466 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 0.466 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 1) into (sin (/ 1 phi2)) 0.467 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 0) into 0 0.467 * [backup-simplify]: Simplify (+ (sin (/ 1 phi2)) 0) into (sin (/ 1 phi2)) 0.467 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 0.467 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.467 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.467 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.467 * [taylor]: Taking taylor expansion of phi1 in phi2 0.467 * [backup-simplify]: Simplify phi1 into phi1 0.467 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 0.467 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 0.467 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 0.467 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.467 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.467 * [taylor]: Taking taylor expansion of phi2 in phi2 0.467 * [backup-simplify]: Simplify 0 into 0 0.467 * [backup-simplify]: Simplify 1 into 1 0.467 * [backup-simplify]: Simplify (/ 1 1) into 1 0.467 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 0.467 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 1) into (sin (/ 1 phi1)) 0.467 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 0) into 0 0.467 * [backup-simplify]: Simplify (+ (sin (/ 1 phi1)) 0) into (sin (/ 1 phi1)) 0.467 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 0.468 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 0.468 * [backup-simplify]: Simplify (+ 0) into 0 0.468 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 1)) into 0 0.468 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 0.469 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.469 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 0)) into 0 0.469 * [backup-simplify]: Simplify (+ 0 0) into 0 0.469 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 (sin (/ 1 phi2)))) into 0 0.469 * [taylor]: Taking taylor expansion of 0 in phi2 0.469 * [backup-simplify]: Simplify 0 into 0 0.469 * [backup-simplify]: Simplify 0 into 0 0.469 * [backup-simplify]: Simplify (+ 0) into 0 0.470 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 1)) into 0 0.470 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 0.470 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.471 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 0)) into 0 0.471 * [backup-simplify]: Simplify (+ 0 0) into 0 0.471 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 (sin (/ 1 phi2)))) into 0 0.471 * [backup-simplify]: Simplify 0 into 0 0.471 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.472 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 0.472 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 0.472 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.473 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 0.473 * [backup-simplify]: Simplify (+ 0 0) into 0 0.473 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi2))))) into 0 0.473 * [taylor]: Taking taylor expansion of 0 in phi2 0.473 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify 0 into 0 0.474 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.474 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 0.474 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 0.475 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.475 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 0.475 * [backup-simplify]: Simplify (+ 0 0) into 0 0.476 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi2))))) into 0 0.476 * [backup-simplify]: Simplify 0 into 0 0.476 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.477 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.477 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 0.477 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 0.478 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 0.478 * [backup-simplify]: Simplify (+ 0 0) into 0 0.479 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 phi2)))))) into 0 0.479 * [taylor]: Taking taylor expansion of 0 in phi2 0.479 * [backup-simplify]: Simplify 0 into 0 0.479 * [backup-simplify]: Simplify 0 into 0 0.479 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 phi1))) (sin (/ 1 (/ 1 phi2)))) into (* (sin phi1) (sin phi2)) 0.479 * [backup-simplify]: Simplify (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 0.479 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 0.479 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.479 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.479 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.479 * [taylor]: Taking taylor expansion of -1 in phi2 0.479 * [backup-simplify]: Simplify -1 into -1 0.479 * [taylor]: Taking taylor expansion of phi1 in phi2 0.479 * [backup-simplify]: Simplify phi1 into phi1 0.479 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 0.479 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 0.479 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 0.479 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.479 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.479 * [taylor]: Taking taylor expansion of -1 in phi2 0.479 * [backup-simplify]: Simplify -1 into -1 0.479 * [taylor]: Taking taylor expansion of phi2 in phi2 0.479 * [backup-simplify]: Simplify 0 into 0 0.479 * [backup-simplify]: Simplify 1 into 1 0.479 * [backup-simplify]: Simplify (/ -1 1) into -1 0.479 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 0.480 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.480 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.480 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.480 * [taylor]: Taking taylor expansion of -1 in phi1 0.480 * [backup-simplify]: Simplify -1 into -1 0.480 * [taylor]: Taking taylor expansion of phi1 in phi1 0.480 * [backup-simplify]: Simplify 0 into 0 0.480 * [backup-simplify]: Simplify 1 into 1 0.480 * [backup-simplify]: Simplify (/ -1 1) into -1 0.480 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 0.480 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.480 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.480 * [taylor]: Taking taylor expansion of -1 in phi1 0.480 * [backup-simplify]: Simplify -1 into -1 0.480 * [taylor]: Taking taylor expansion of phi2 in phi1 0.480 * [backup-simplify]: Simplify phi2 into phi2 0.480 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 0.480 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 0.480 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 0.480 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.480 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.480 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.480 * [taylor]: Taking taylor expansion of -1 in phi1 0.480 * [backup-simplify]: Simplify -1 into -1 0.480 * [taylor]: Taking taylor expansion of phi1 in phi1 0.480 * [backup-simplify]: Simplify 0 into 0 0.480 * [backup-simplify]: Simplify 1 into 1 0.481 * [backup-simplify]: Simplify (/ -1 1) into -1 0.481 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 0.481 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.481 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.481 * [taylor]: Taking taylor expansion of -1 in phi1 0.481 * [backup-simplify]: Simplify -1 into -1 0.481 * [taylor]: Taking taylor expansion of phi2 in phi1 0.481 * [backup-simplify]: Simplify phi2 into phi2 0.481 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 0.481 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 0.481 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 0.481 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 1) into (sin (/ -1 phi2)) 0.481 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 0) into 0 0.481 * [backup-simplify]: Simplify (+ (sin (/ -1 phi2)) 0) into (sin (/ -1 phi2)) 0.481 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 0.481 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.481 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.481 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.481 * [taylor]: Taking taylor expansion of -1 in phi2 0.481 * [backup-simplify]: Simplify -1 into -1 0.481 * [taylor]: Taking taylor expansion of phi1 in phi2 0.481 * [backup-simplify]: Simplify phi1 into phi1 0.481 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 0.481 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 0.481 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 0.481 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.481 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.481 * [taylor]: Taking taylor expansion of -1 in phi2 0.481 * [backup-simplify]: Simplify -1 into -1 0.481 * [taylor]: Taking taylor expansion of phi2 in phi2 0.481 * [backup-simplify]: Simplify 0 into 0 0.481 * [backup-simplify]: Simplify 1 into 1 0.482 * [backup-simplify]: Simplify (/ -1 1) into -1 0.482 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 0.482 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 1) into (sin (/ -1 phi1)) 0.482 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 0) into 0 0.482 * [backup-simplify]: Simplify (+ (sin (/ -1 phi1)) 0) into (sin (/ -1 phi1)) 0.482 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 0.482 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 0.482 * [backup-simplify]: Simplify (+ 0) into 0 0.483 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 1)) into 0 0.483 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0 0.483 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.483 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 0)) into 0 0.484 * [backup-simplify]: Simplify (+ 0 0) into 0 0.484 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 0.484 * [taylor]: Taking taylor expansion of 0 in phi2 0.484 * [backup-simplify]: Simplify 0 into 0 0.484 * [backup-simplify]: Simplify 0 into 0 0.484 * [backup-simplify]: Simplify (+ 0) into 0 0.484 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 1)) into 0 0.484 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0 0.485 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.485 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 0)) into 0 0.485 * [backup-simplify]: Simplify (+ 0 0) into 0 0.485 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 0.485 * [backup-simplify]: Simplify 0 into 0 0.486 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.486 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 0.486 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 0.487 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.487 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 0.487 * [backup-simplify]: Simplify (+ 0 0) into 0 0.488 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 0.488 * [taylor]: Taking taylor expansion of 0 in phi2 0.488 * [backup-simplify]: Simplify 0 into 0 0.488 * [backup-simplify]: Simplify 0 into 0 0.488 * [backup-simplify]: Simplify 0 into 0 0.488 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.489 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 0.489 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 0.489 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.490 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 0.490 * [backup-simplify]: Simplify (+ 0 0) into 0 0.490 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 0.490 * [backup-simplify]: Simplify 0 into 0 0.491 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.491 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.491 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 0.492 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 0.492 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 0.496 * [backup-simplify]: Simplify (+ 0 0) into 0 0.497 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2)))))) into 0 0.497 * [taylor]: Taking taylor expansion of 0 in phi2 0.497 * [backup-simplify]: Simplify 0 into 0 0.497 * [backup-simplify]: Simplify 0 into 0 0.497 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) into (* (sin phi1) (sin phi2)) 0.497 * * * [progress]: simplifying candidates 0.498 * [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 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)) (- (+ 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) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 0.498 * [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 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)) (- (+ 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) (* h3 h4) (* (sin h4) (sin h3)) (* (sin h4) (sin h3)) 0.502 * * [simplify]: iteration 0 : 200 enodes (cost 661 ) 0.505 * * [simplify]: iteration 1 : 565 enodes (cost 569 ) 0.514 * * [simplify]: iteration 2 : 1790 enodes (cost 569 ) 0.538 * * [simplify]: iteration 3 : 5001 enodes (cost 569 ) 0.541 * * * [progress]: adding candidates to table 0.789 * * [progress]: iteration 2 / 4 0.789 * * * [progress]: picking best candidate 0.844 * * * * [pick]: Picked # 0.844 * * * [progress]: localizing error 0.875 * * * [progress]: generating rewritten candidates 0.875 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.877 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.884 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 2 2) 0.895 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 0.907 * * * [progress]: generating series expansions 0.907 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.908 * [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))))))) 0.908 * [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 0.908 * [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 0.909 * [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))))))) 0.909 * [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 0.909 * [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))))))) 0.909 * [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 0.909 * [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))))))) 0.909 * [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 0.910 * [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))))))) 0.910 * [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 0.910 * [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))))))) 0.910 * [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 0.911 * [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))))))) 0.911 * [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 0.911 * [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))))))) 0.911 * [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 0.911 * [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))))))) 0.912 * [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))))))) 0.912 * [taylor]: Taking taylor expansion of 0 in phi2 0.912 * [backup-simplify]: Simplify 0 into 0 0.912 * [taylor]: Taking taylor expansion of 0 in lambda1 0.912 * [backup-simplify]: Simplify 0 into 0 0.912 * [taylor]: Taking taylor expansion of 0 in lambda2 0.912 * [backup-simplify]: Simplify 0 into 0 0.912 * [backup-simplify]: Simplify 0 into 0 0.912 * [taylor]: Taking taylor expansion of 0 in lambda1 0.912 * [backup-simplify]: Simplify 0 into 0 0.912 * [taylor]: Taking taylor expansion of 0 in lambda2 0.912 * [backup-simplify]: Simplify 0 into 0 0.912 * [backup-simplify]: Simplify 0 into 0 0.912 * [taylor]: Taking taylor expansion of 0 in lambda2 0.912 * [backup-simplify]: Simplify 0 into 0 0.912 * [backup-simplify]: Simplify 0 into 0 0.912 * [backup-simplify]: Simplify 0 into 0 0.912 * [taylor]: Taking taylor expansion of 0 in phi2 0.912 * [backup-simplify]: Simplify 0 into 0 0.912 * [taylor]: Taking taylor expansion of 0 in lambda1 0.912 * [backup-simplify]: Simplify 0 into 0 0.912 * [taylor]: Taking taylor expansion of 0 in lambda2 0.912 * [backup-simplify]: Simplify 0 into 0 0.912 * [backup-simplify]: Simplify 0 into 0 0.912 * [taylor]: Taking taylor expansion of 0 in lambda1 0.912 * [backup-simplify]: Simplify 0 into 0 0.912 * [taylor]: Taking taylor expansion of 0 in lambda2 0.912 * [backup-simplify]: Simplify 0 into 0 0.912 * [backup-simplify]: Simplify 0 into 0 0.915 * [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))))))) 0.915 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 0.915 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0 0.915 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 0.916 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 0.916 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 0.916 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 0.916 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 0.917 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 0.917 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 0.917 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 0.917 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 0.918 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 0.918 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 0.918 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 0.918 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 0.919 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 0.919 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 0.919 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 0.920 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 0.920 * [taylor]: Taking taylor expansion of 0 in phi2 0.920 * [backup-simplify]: Simplify 0 into 0 0.920 * [taylor]: Taking taylor expansion of 0 in lambda1 0.920 * [backup-simplify]: Simplify 0 into 0 0.920 * [taylor]: Taking taylor expansion of 0 in lambda2 0.920 * [backup-simplify]: Simplify 0 into 0 0.920 * [backup-simplify]: Simplify 0 into 0 0.920 * [taylor]: Taking taylor expansion of 0 in lambda1 0.920 * [backup-simplify]: Simplify 0 into 0 0.920 * [taylor]: Taking taylor expansion of 0 in lambda2 0.920 * [backup-simplify]: Simplify 0 into 0 0.920 * [backup-simplify]: Simplify 0 into 0 0.920 * [taylor]: Taking taylor expansion of 0 in lambda2 0.920 * [backup-simplify]: Simplify 0 into 0 0.920 * [backup-simplify]: Simplify 0 into 0 0.920 * [backup-simplify]: Simplify 0 into 0 0.920 * [taylor]: Taking taylor expansion of 0 in phi2 0.920 * [backup-simplify]: Simplify 0 into 0 0.920 * [taylor]: Taking taylor expansion of 0 in lambda1 0.920 * [backup-simplify]: Simplify 0 into 0 0.920 * [taylor]: Taking taylor expansion of 0 in lambda2 0.920 * [backup-simplify]: Simplify 0 into 0 0.920 * [backup-simplify]: Simplify 0 into 0 0.920 * [taylor]: Taking taylor expansion of 0 in lambda1 0.920 * [backup-simplify]: Simplify 0 into 0 0.920 * [taylor]: Taking taylor expansion of 0 in lambda2 0.920 * [backup-simplify]: Simplify 0 into 0 0.920 * [backup-simplify]: Simplify 0 into 0 0.921 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 phi1))) (cos (/ 1 (/ 1 lambda1)))))) (+ (* (sin (/ 1 (/ 1 phi1))) (sin (/ 1 (/ 1 phi2)))) (* (sin (/ 1 (/ 1 lambda1))) (* (sin (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi2))) (cos (/ 1 (/ 1 phi1))))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) 0.922 * [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))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 0.922 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0 0.922 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 0.922 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 0.922 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 0.923 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 0.923 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 0.923 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 0.923 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 0.924 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 0.924 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 0.924 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 0.924 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 0.925 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 0.925 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 0.925 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 0.925 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 0.926 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 0.926 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 0.926 * [taylor]: Taking taylor expansion of 0 in phi2 0.926 * [backup-simplify]: Simplify 0 into 0 0.926 * [taylor]: Taking taylor expansion of 0 in lambda1 0.926 * [backup-simplify]: Simplify 0 into 0 0.927 * [taylor]: Taking taylor expansion of 0 in lambda2 0.927 * [backup-simplify]: Simplify 0 into 0 0.927 * [backup-simplify]: Simplify 0 into 0 0.927 * [taylor]: Taking taylor expansion of 0 in lambda1 0.927 * [backup-simplify]: Simplify 0 into 0 0.927 * [taylor]: Taking taylor expansion of 0 in lambda2 0.927 * [backup-simplify]: Simplify 0 into 0 0.927 * [backup-simplify]: Simplify 0 into 0 0.927 * [taylor]: Taking taylor expansion of 0 in lambda2 0.927 * [backup-simplify]: Simplify 0 into 0 0.927 * [backup-simplify]: Simplify 0 into 0 0.927 * [backup-simplify]: Simplify 0 into 0 0.927 * [taylor]: Taking taylor expansion of 0 in phi2 0.927 * [backup-simplify]: Simplify 0 into 0 0.927 * [taylor]: Taking taylor expansion of 0 in lambda1 0.927 * [backup-simplify]: Simplify 0 into 0 0.927 * [taylor]: Taking taylor expansion of 0 in lambda2 0.927 * [backup-simplify]: Simplify 0 into 0 0.927 * [backup-simplify]: Simplify 0 into 0 0.927 * [taylor]: Taking taylor expansion of 0 in lambda1 0.927 * [backup-simplify]: Simplify 0 into 0 0.927 * [taylor]: Taking taylor expansion of 0 in lambda2 0.927 * [backup-simplify]: Simplify 0 into 0 0.927 * [backup-simplify]: Simplify 0 into 0 0.928 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2))))))) (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2)))))))) into (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 0.928 * * * * [progress]: [ 2 / 4 ] generating series at (2) 0.928 * [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) 0.928 * [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 0.928 * [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 0.928 * [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 0.928 * [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))))))) 0.928 * [taylor]: Taking taylor expansion of R in R 0.928 * [backup-simplify]: Simplify 0 into 0 0.929 * [backup-simplify]: Simplify 1 into 1 0.929 * [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 0.929 * [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 0.929 * [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))))))) 0.929 * [taylor]: Taking taylor expansion of R in lambda2 0.929 * [backup-simplify]: Simplify R into R 0.929 * [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 0.929 * [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 0.929 * [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))))))) 0.929 * [taylor]: Taking taylor expansion of R in lambda1 0.929 * [backup-simplify]: Simplify R into R 0.929 * [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 0.929 * [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 0.930 * [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))))))) 0.930 * [taylor]: Taking taylor expansion of R in phi2 0.930 * [backup-simplify]: Simplify R into R 0.930 * [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 0.930 * [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 0.930 * [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))))))) 0.930 * [taylor]: Taking taylor expansion of R in phi1 0.930 * [backup-simplify]: Simplify R into R 0.930 * [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 0.930 * [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 0.931 * [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))))))) 0.931 * [taylor]: Taking taylor expansion of R in phi1 0.931 * [backup-simplify]: Simplify R into R 0.931 * [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) 0.931 * [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 0.931 * [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 0.931 * [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))))))) 0.931 * [taylor]: Taking taylor expansion of R in phi2 0.932 * [backup-simplify]: Simplify R into R 0.932 * [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) 0.932 * [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 0.932 * [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 0.932 * [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))))))) 0.932 * [taylor]: Taking taylor expansion of R in lambda1 0.932 * [backup-simplify]: Simplify R into R 0.933 * [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) 0.933 * [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 0.933 * [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 0.933 * [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))))))) 0.933 * [taylor]: Taking taylor expansion of R in lambda2 0.933 * [backup-simplify]: Simplify R into R 0.934 * [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) 0.934 * [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 0.934 * [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 0.934 * [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))))))) 0.934 * [taylor]: Taking taylor expansion of R in R 0.934 * [backup-simplify]: Simplify 0 into 0 0.934 * [backup-simplify]: Simplify 1 into 1 0.934 * [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 0.934 * [backup-simplify]: Simplify 0 into 0 0.935 * [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 0.935 * [taylor]: Taking taylor expansion of 0 in phi2 0.935 * [backup-simplify]: Simplify 0 into 0 0.935 * [taylor]: Taking taylor expansion of 0 in lambda1 0.935 * [backup-simplify]: Simplify 0 into 0 0.935 * [taylor]: Taking taylor expansion of 0 in lambda2 0.935 * [backup-simplify]: Simplify 0 into 0 0.935 * [taylor]: Taking taylor expansion of 0 in R 0.935 * [backup-simplify]: Simplify 0 into 0 0.935 * [backup-simplify]: Simplify 0 into 0 0.935 * [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 0.935 * [taylor]: Taking taylor expansion of 0 in lambda1 0.935 * [backup-simplify]: Simplify 0 into 0 0.936 * [taylor]: Taking taylor expansion of 0 in lambda2 0.936 * [backup-simplify]: Simplify 0 into 0 0.936 * [taylor]: Taking taylor expansion of 0 in R 0.936 * [backup-simplify]: Simplify 0 into 0 0.936 * [backup-simplify]: Simplify 0 into 0 0.936 * [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 0.936 * [taylor]: Taking taylor expansion of 0 in lambda2 0.936 * [backup-simplify]: Simplify 0 into 0 0.936 * [taylor]: Taking taylor expansion of 0 in R 0.936 * [backup-simplify]: Simplify 0 into 0 0.936 * [backup-simplify]: Simplify 0 into 0 0.936 * [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 0.936 * [taylor]: Taking taylor expansion of 0 in R 0.936 * [backup-simplify]: Simplify 0 into 0 0.937 * [backup-simplify]: Simplify 0 into 0 0.937 * [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))))))) 0.938 * [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))))))) 0.939 * [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 0.939 * [taylor]: Taking taylor expansion of 0 in phi2 0.939 * [backup-simplify]: Simplify 0 into 0 0.939 * [taylor]: Taking taylor expansion of 0 in lambda1 0.939 * [backup-simplify]: Simplify 0 into 0 0.939 * [taylor]: Taking taylor expansion of 0 in lambda2 0.939 * [backup-simplify]: Simplify 0 into 0 0.939 * [taylor]: Taking taylor expansion of 0 in R 0.939 * [backup-simplify]: Simplify 0 into 0 0.939 * [backup-simplify]: Simplify 0 into 0 0.939 * [taylor]: Taking taylor expansion of 0 in lambda1 0.939 * [backup-simplify]: Simplify 0 into 0 0.939 * [taylor]: Taking taylor expansion of 0 in lambda2 0.939 * [backup-simplify]: Simplify 0 into 0 0.939 * [taylor]: Taking taylor expansion of 0 in R 0.939 * [backup-simplify]: Simplify 0 into 0 0.939 * [backup-simplify]: Simplify 0 into 0 0.939 * [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 0.940 * [taylor]: Taking taylor expansion of 0 in lambda1 0.940 * [backup-simplify]: Simplify 0 into 0 0.940 * [taylor]: Taking taylor expansion of 0 in lambda2 0.940 * [backup-simplify]: Simplify 0 into 0 0.940 * [taylor]: Taking taylor expansion of 0 in R 0.940 * [backup-simplify]: Simplify 0 into 0 0.940 * [backup-simplify]: Simplify 0 into 0 0.940 * [taylor]: Taking taylor expansion of 0 in lambda2 0.940 * [backup-simplify]: Simplify 0 into 0 0.940 * [taylor]: Taking taylor expansion of 0 in R 0.940 * [backup-simplify]: Simplify 0 into 0 0.940 * [backup-simplify]: Simplify 0 into 0 0.940 * [taylor]: Taking taylor expansion of 0 in lambda2 0.940 * [backup-simplify]: Simplify 0 into 0 0.940 * [taylor]: Taking taylor expansion of 0 in R 0.940 * [backup-simplify]: Simplify 0 into 0 0.940 * [backup-simplify]: Simplify 0 into 0 0.940 * [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 0.940 * [taylor]: Taking taylor expansion of 0 in lambda2 0.940 * [backup-simplify]: Simplify 0 into 0 0.941 * [taylor]: Taking taylor expansion of 0 in R 0.941 * [backup-simplify]: Simplify 0 into 0 0.941 * [backup-simplify]: Simplify 0 into 0 0.941 * [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) 0.942 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) 0.942 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 0.942 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in R 0.942 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R 0.942 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 0.942 * [taylor]: Taking taylor expansion of R in R 0.942 * [backup-simplify]: Simplify 0 into 0 0.942 * [backup-simplify]: Simplify 1 into 1 0.943 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 1) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 0.943 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda2 0.943 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 0.943 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 0.944 * [taylor]: Taking taylor expansion of R in lambda2 0.944 * [backup-simplify]: Simplify R into R 0.944 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) 0.944 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda1 0.944 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 0.945 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 0.945 * [taylor]: Taking taylor expansion of R in lambda1 0.945 * [backup-simplify]: Simplify R into R 0.945 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) 0.945 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi2 0.945 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 0.946 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 0.946 * [taylor]: Taking taylor expansion of R in phi2 0.946 * [backup-simplify]: Simplify R into R 0.946 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) 0.946 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi1 0.946 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 0.947 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 0.947 * [taylor]: Taking taylor expansion of R in phi1 0.947 * [backup-simplify]: Simplify R into R 0.947 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) 0.947 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi1 0.947 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 0.948 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 0.948 * [taylor]: Taking taylor expansion of R in phi1 0.948 * [backup-simplify]: Simplify R into R 0.948 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) 0.948 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi2 0.949 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 0.949 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 0.949 * [taylor]: Taking taylor expansion of R in phi2 0.949 * [backup-simplify]: Simplify R into R 0.950 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) 0.950 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda1 0.950 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 0.950 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 0.950 * [taylor]: Taking taylor expansion of R in lambda1 0.950 * [backup-simplify]: Simplify R into R 0.951 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) 0.951 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda2 0.951 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 0.951 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 0.951 * [taylor]: Taking taylor expansion of R in lambda2 0.952 * [backup-simplify]: Simplify R into R 0.952 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) 0.952 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in R 0.952 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R 0.953 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 0.953 * [taylor]: Taking taylor expansion of R in R 0.953 * [backup-simplify]: Simplify 0 into 0 0.953 * [backup-simplify]: Simplify 1 into 1 0.953 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 1) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 0.954 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 0.954 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0 0.954 * [taylor]: Taking taylor expansion of 0 in phi2 0.954 * [backup-simplify]: Simplify 0 into 0 0.954 * [taylor]: Taking taylor expansion of 0 in lambda1 0.955 * [backup-simplify]: Simplify 0 into 0 0.955 * [taylor]: Taking taylor expansion of 0 in lambda2 0.955 * [backup-simplify]: Simplify 0 into 0 0.955 * [taylor]: Taking taylor expansion of 0 in R 0.955 * [backup-simplify]: Simplify 0 into 0 0.955 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0 0.955 * [taylor]: Taking taylor expansion of 0 in lambda1 0.955 * [backup-simplify]: Simplify 0 into 0 0.955 * [taylor]: Taking taylor expansion of 0 in lambda2 0.955 * [backup-simplify]: Simplify 0 into 0 0.955 * [taylor]: Taking taylor expansion of 0 in R 0.955 * [backup-simplify]: Simplify 0 into 0 0.956 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0 0.956 * [taylor]: Taking taylor expansion of 0 in lambda2 0.956 * [backup-simplify]: Simplify 0 into 0 0.956 * [taylor]: Taking taylor expansion of 0 in R 0.956 * [backup-simplify]: Simplify 0 into 0 0.957 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0 0.957 * [taylor]: Taking taylor expansion of 0 in R 0.957 * [backup-simplify]: Simplify 0 into 0 0.958 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) (/ 0 1)))) into 0 0.958 * [backup-simplify]: Simplify 0 into 0 0.958 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 0.958 * [taylor]: Taking taylor expansion of 0 in phi2 0.958 * [backup-simplify]: Simplify 0 into 0 0.959 * [taylor]: Taking taylor expansion of 0 in lambda1 0.959 * [backup-simplify]: Simplify 0 into 0 0.959 * [taylor]: Taking taylor expansion of 0 in lambda2 0.959 * [backup-simplify]: Simplify 0 into 0 0.959 * [taylor]: Taking taylor expansion of 0 in R 0.959 * [backup-simplify]: Simplify 0 into 0 0.959 * [taylor]: Taking taylor expansion of 0 in lambda1 0.959 * [backup-simplify]: Simplify 0 into 0 0.959 * [taylor]: Taking taylor expansion of 0 in lambda2 0.959 * [backup-simplify]: Simplify 0 into 0 0.959 * [taylor]: Taking taylor expansion of 0 in R 0.959 * [backup-simplify]: Simplify 0 into 0 0.959 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 0.959 * [taylor]: Taking taylor expansion of 0 in lambda1 0.959 * [backup-simplify]: Simplify 0 into 0 0.959 * [taylor]: Taking taylor expansion of 0 in lambda2 0.959 * [backup-simplify]: Simplify 0 into 0 0.959 * [taylor]: Taking taylor expansion of 0 in R 0.959 * [backup-simplify]: Simplify 0 into 0 0.959 * [taylor]: Taking taylor expansion of 0 in lambda2 0.959 * [backup-simplify]: Simplify 0 into 0 0.959 * [taylor]: Taking taylor expansion of 0 in R 0.960 * [backup-simplify]: Simplify 0 into 0 0.960 * [taylor]: Taking taylor expansion of 0 in lambda2 0.960 * [backup-simplify]: Simplify 0 into 0 0.960 * [taylor]: Taking taylor expansion of 0 in R 0.960 * [backup-simplify]: Simplify 0 into 0 0.960 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 0.960 * [taylor]: Taking taylor expansion of 0 in lambda2 0.960 * [backup-simplify]: Simplify 0 into 0 0.960 * [taylor]: Taking taylor expansion of 0 in R 0.960 * [backup-simplify]: Simplify 0 into 0 0.960 * [taylor]: Taking taylor expansion of 0 in R 0.960 * [backup-simplify]: Simplify 0 into 0 0.960 * [taylor]: Taking taylor expansion of 0 in R 0.960 * [backup-simplify]: Simplify 0 into 0 0.960 * [taylor]: Taking taylor expansion of 0 in R 0.960 * [backup-simplify]: Simplify 0 into 0 0.961 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 0.961 * [taylor]: Taking taylor expansion of 0 in R 0.961 * [backup-simplify]: Simplify 0 into 0 0.961 * [backup-simplify]: Simplify 0 into 0 0.961 * [backup-simplify]: Simplify 0 into 0 0.961 * [backup-simplify]: Simplify 0 into 0 0.961 * [backup-simplify]: Simplify 0 into 0 0.962 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.963 * [backup-simplify]: Simplify 0 into 0 0.963 * [backup-simplify]: Simplify (* (acos (+ (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 phi1))) (cos (/ 1 (/ 1 lambda1)))))) (+ (* (sin (/ 1 (/ 1 phi1))) (sin (/ 1 (/ 1 phi2)))) (* (sin (/ 1 (/ 1 lambda1))) (* (sin (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi2))) (cos (/ 1 (/ 1 phi1))))))))) (* (/ 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) 0.964 * [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))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) 0.964 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 0.964 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R 0.964 * [taylor]: Taking taylor expansion of -1 in R 0.964 * [backup-simplify]: Simplify -1 into -1 0.964 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R 0.964 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R 0.965 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 0.965 * [taylor]: Taking taylor expansion of R in R 0.965 * [backup-simplify]: Simplify 0 into 0 0.965 * [backup-simplify]: Simplify 1 into 1 0.965 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 0.965 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2 0.965 * [taylor]: Taking taylor expansion of -1 in lambda2 0.965 * [backup-simplify]: Simplify -1 into -1 0.965 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2 0.965 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 0.966 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 0.966 * [taylor]: Taking taylor expansion of R in lambda2 0.966 * [backup-simplify]: Simplify R into R 0.966 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) 0.967 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda1 0.967 * [taylor]: Taking taylor expansion of -1 in lambda1 0.967 * [backup-simplify]: Simplify -1 into -1 0.967 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1 0.967 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 0.967 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 0.967 * [taylor]: Taking taylor expansion of R in lambda1 0.967 * [backup-simplify]: Simplify R into R 0.968 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) 0.968 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2 0.968 * [taylor]: Taking taylor expansion of -1 in phi2 0.968 * [backup-simplify]: Simplify -1 into -1 0.968 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2 0.968 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 0.968 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 0.968 * [taylor]: Taking taylor expansion of R in phi2 0.968 * [backup-simplify]: Simplify R into R 0.969 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) 0.969 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi1 0.969 * [taylor]: Taking taylor expansion of -1 in phi1 0.969 * [backup-simplify]: Simplify -1 into -1 0.969 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1 0.969 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 0.969 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 0.969 * [taylor]: Taking taylor expansion of R in phi1 0.969 * [backup-simplify]: Simplify R into R 0.970 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) 0.970 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi1 0.970 * [taylor]: Taking taylor expansion of -1 in phi1 0.970 * [backup-simplify]: Simplify -1 into -1 0.970 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1 0.970 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 0.971 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 0.971 * [taylor]: Taking taylor expansion of R in phi1 0.971 * [backup-simplify]: Simplify R into R 0.971 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) 0.972 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) 0.972 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2 0.972 * [taylor]: Taking taylor expansion of -1 in phi2 0.972 * [backup-simplify]: Simplify -1 into -1 0.972 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2 0.972 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 0.972 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 0.972 * [taylor]: Taking taylor expansion of R in phi2 0.972 * [backup-simplify]: Simplify R into R 0.973 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) 0.973 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) 0.973 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda1 0.973 * [taylor]: Taking taylor expansion of -1 in lambda1 0.974 * [backup-simplify]: Simplify -1 into -1 0.974 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1 0.974 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 0.974 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 0.974 * [taylor]: Taking taylor expansion of R in lambda1 0.974 * [backup-simplify]: Simplify R into R 0.975 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) 0.975 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) 0.975 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2 0.975 * [taylor]: Taking taylor expansion of -1 in lambda2 0.975 * [backup-simplify]: Simplify -1 into -1 0.975 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2 0.975 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 0.976 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 0.976 * [taylor]: Taking taylor expansion of R in lambda2 0.976 * [backup-simplify]: Simplify R into R 0.976 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) 0.977 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) 0.977 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R 0.977 * [taylor]: Taking taylor expansion of -1 in R 0.977 * [backup-simplify]: Simplify -1 into -1 0.977 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R 0.977 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R 0.977 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 0.977 * [taylor]: Taking taylor expansion of R in R 0.978 * [backup-simplify]: Simplify 0 into 0 0.978 * [backup-simplify]: Simplify 1 into 1 0.978 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 0.979 * [backup-simplify]: Simplify (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) into (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) 0.979 * [backup-simplify]: Simplify (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) into (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) 0.980 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) (/ 0 R)))) into 0 0.981 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R))) into 0 0.981 * [taylor]: Taking taylor expansion of 0 in phi2 0.981 * [backup-simplify]: Simplify 0 into 0 0.981 * [taylor]: Taking taylor expansion of 0 in lambda1 0.981 * [backup-simplify]: Simplify 0 into 0 0.981 * [taylor]: Taking taylor expansion of 0 in lambda2 0.981 * [backup-simplify]: Simplify 0 into 0 0.981 * [taylor]: Taking taylor expansion of 0 in R 0.981 * [backup-simplify]: Simplify 0 into 0 0.982 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) (/ 0 R)))) into 0 0.982 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R))) into 0 0.982 * [taylor]: Taking taylor expansion of 0 in lambda1 0.982 * [backup-simplify]: Simplify 0 into 0 0.982 * [taylor]: Taking taylor expansion of 0 in lambda2 0.982 * [backup-simplify]: Simplify 0 into 0 0.982 * [taylor]: Taking taylor expansion of 0 in R 0.982 * [backup-simplify]: Simplify 0 into 0 0.983 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) (/ 0 R)))) into 0 0.984 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R))) into 0 0.984 * [taylor]: Taking taylor expansion of 0 in lambda2 0.984 * [backup-simplify]: Simplify 0 into 0 0.984 * [taylor]: Taking taylor expansion of 0 in R 0.984 * [backup-simplify]: Simplify 0 into 0 0.985 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) (/ 0 R)))) into 0 0.985 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R))) into 0 0.985 * [taylor]: Taking taylor expansion of 0 in R 0.985 * [backup-simplify]: Simplify 0 into 0 0.987 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) (/ 0 1)))) into 0 0.987 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))))) into 0 0.987 * [backup-simplify]: Simplify 0 into 0 0.988 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 0.989 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)))) into 0 0.989 * [taylor]: Taking taylor expansion of 0 in phi2 0.989 * [backup-simplify]: Simplify 0 into 0 0.989 * [taylor]: Taking taylor expansion of 0 in lambda1 0.989 * [backup-simplify]: Simplify 0 into 0 0.989 * [taylor]: Taking taylor expansion of 0 in lambda2 0.989 * [backup-simplify]: Simplify 0 into 0 0.989 * [taylor]: Taking taylor expansion of 0 in R 0.989 * [backup-simplify]: Simplify 0 into 0 0.989 * [taylor]: Taking taylor expansion of 0 in lambda1 0.989 * [backup-simplify]: Simplify 0 into 0 0.989 * [taylor]: Taking taylor expansion of 0 in lambda2 0.989 * [backup-simplify]: Simplify 0 into 0 0.989 * [taylor]: Taking taylor expansion of 0 in R 0.989 * [backup-simplify]: Simplify 0 into 0 0.990 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 0.991 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)))) into 0 0.991 * [taylor]: Taking taylor expansion of 0 in lambda1 0.991 * [backup-simplify]: Simplify 0 into 0 0.991 * [taylor]: Taking taylor expansion of 0 in lambda2 0.991 * [backup-simplify]: Simplify 0 into 0 0.991 * [taylor]: Taking taylor expansion of 0 in R 0.991 * [backup-simplify]: Simplify 0 into 0 0.991 * [taylor]: Taking taylor expansion of 0 in lambda2 0.991 * [backup-simplify]: Simplify 0 into 0 0.991 * [taylor]: Taking taylor expansion of 0 in R 0.991 * [backup-simplify]: Simplify 0 into 0 0.991 * [taylor]: Taking taylor expansion of 0 in lambda2 0.991 * [backup-simplify]: Simplify 0 into 0 0.991 * [taylor]: Taking taylor expansion of 0 in R 0.991 * [backup-simplify]: Simplify 0 into 0 0.992 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 0.993 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)))) into 0 0.993 * [taylor]: Taking taylor expansion of 0 in lambda2 0.993 * [backup-simplify]: Simplify 0 into 0 0.993 * [taylor]: Taking taylor expansion of 0 in R 0.993 * [backup-simplify]: Simplify 0 into 0 0.993 * [taylor]: Taking taylor expansion of 0 in R 0.993 * [backup-simplify]: Simplify 0 into 0 0.993 * [taylor]: Taking taylor expansion of 0 in R 0.993 * [backup-simplify]: Simplify 0 into 0 0.993 * [taylor]: Taking taylor expansion of 0 in R 0.993 * [backup-simplify]: Simplify 0 into 0 0.994 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 0.997 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)))) into 0 0.997 * [taylor]: Taking taylor expansion of 0 in R 0.997 * [backup-simplify]: Simplify 0 into 0 0.997 * [backup-simplify]: Simplify 0 into 0 0.997 * [backup-simplify]: Simplify 0 into 0 0.997 * [backup-simplify]: Simplify 0 into 0 0.997 * [backup-simplify]: Simplify 0 into 0 0.998 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.999 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))))) into 0 0.999 * [backup-simplify]: Simplify 0 into 0 1.000 * [backup-simplify]: Simplify (* (* -1 (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2))))))) (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))))))) (* (/ 1 (/ 1 (- R))) (* 1 (* 1 (* 1 1))))) into (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R) 1.000 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 2 2) 1.001 * [backup-simplify]: Simplify (* (sin lambda1) (sin lambda2)) into (* (sin lambda1) (sin lambda2)) 1.001 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0 1.001 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 1.001 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 1.001 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.001 * [backup-simplify]: Simplify lambda1 into lambda1 1.001 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 1.001 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 1.001 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.001 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.001 * [backup-simplify]: Simplify 0 into 0 1.001 * [backup-simplify]: Simplify 1 into 1 1.001 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 1.001 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.001 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.001 * [backup-simplify]: Simplify 0 into 0 1.001 * [backup-simplify]: Simplify 1 into 1 1.001 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 1.001 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.001 * [backup-simplify]: Simplify lambda2 into lambda2 1.001 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 1.001 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 1.001 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 1.001 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.001 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.001 * [backup-simplify]: Simplify 0 into 0 1.001 * [backup-simplify]: Simplify 1 into 1 1.001 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 1.001 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.001 * [backup-simplify]: Simplify lambda2 into lambda2 1.001 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 1.001 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 1.001 * [backup-simplify]: Simplify (* (sin lambda2) 1) into (sin lambda2) 1.001 * [backup-simplify]: Simplify (* (cos lambda2) 0) into 0 1.002 * [backup-simplify]: Simplify (+ (sin lambda2) 0) into (sin lambda2) 1.002 * [backup-simplify]: Simplify (* 0 (sin lambda2)) into 0 1.002 * [taylor]: Taking taylor expansion of 0 in lambda2 1.002 * [backup-simplify]: Simplify 0 into 0 1.002 * [backup-simplify]: Simplify 0 into 0 1.002 * [backup-simplify]: Simplify (+ 0) into 0 1.002 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (* 0 1)) into 0 1.003 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.003 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (* 0 0)) into 0 1.003 * [backup-simplify]: Simplify (+ 0 0) into 0 1.003 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.004 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin lambda2))) into (sin lambda2) 1.004 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.004 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.004 * [backup-simplify]: Simplify 0 into 0 1.004 * [backup-simplify]: Simplify 1 into 1 1.004 * [backup-simplify]: Simplify 0 into 0 1.004 * [backup-simplify]: Simplify 0 into 0 1.004 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.005 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (* 0 1))) into 0 1.005 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.005 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (* 0 0))) into 0 1.006 * [backup-simplify]: Simplify (+ 0 0) into 0 1.006 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.007 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin lambda2)))) into 0 1.007 * [taylor]: Taking taylor expansion of 0 in lambda2 1.007 * [backup-simplify]: Simplify 0 into 0 1.007 * [backup-simplify]: Simplify 0 into 0 1.007 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.007 * [backup-simplify]: Simplify 1 into 1 1.007 * [backup-simplify]: Simplify 0 into 0 1.008 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.008 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.009 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.009 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.009 * [backup-simplify]: Simplify (+ 0 0) into 0 1.011 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 1.011 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin lambda2))))) into (- (* 1/6 (sin lambda2))) 1.011 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin lambda2))) in lambda2 1.011 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2 1.011 * [taylor]: Taking taylor expansion of 1/6 in lambda2 1.011 * [backup-simplify]: Simplify 1/6 into 1/6 1.011 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.011 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.011 * [backup-simplify]: Simplify 0 into 0 1.011 * [backup-simplify]: Simplify 1 into 1 1.012 * [backup-simplify]: Simplify (* 1/6 0) into 0 1.012 * [backup-simplify]: Simplify (- 0) into 0 1.012 * [backup-simplify]: Simplify 0 into 0 1.012 * [backup-simplify]: Simplify 0 into 0 1.012 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.012 * [backup-simplify]: Simplify 0 into 0 1.012 * [backup-simplify]: Simplify 0 into 0 1.013 * [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 1.014 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.015 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.015 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 1.015 * [backup-simplify]: Simplify (+ 0 0) into 0 1.016 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.017 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin lambda2)))))) into 0 1.017 * [taylor]: Taking taylor expansion of 0 in lambda2 1.017 * [backup-simplify]: Simplify 0 into 0 1.017 * [backup-simplify]: Simplify 0 into 0 1.017 * [backup-simplify]: Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1) 1.017 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) into (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) 1.017 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in (lambda1 lambda2) around 0 1.017 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.017 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.017 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.017 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.017 * [backup-simplify]: Simplify lambda1 into lambda1 1.017 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.017 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 1.017 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 1.017 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.017 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.017 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.018 * [backup-simplify]: Simplify 0 into 0 1.018 * [backup-simplify]: Simplify 1 into 1 1.018 * [backup-simplify]: Simplify (/ 1 1) into 1 1.018 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 1.018 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.018 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.018 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.018 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.018 * [backup-simplify]: Simplify 0 into 0 1.018 * [backup-simplify]: Simplify 1 into 1 1.018 * [backup-simplify]: Simplify (/ 1 1) into 1 1.018 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 1.018 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.018 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.018 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.018 * [backup-simplify]: Simplify lambda2 into lambda2 1.018 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.018 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 1.018 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 1.018 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.018 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.018 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.018 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.018 * [backup-simplify]: Simplify 0 into 0 1.018 * [backup-simplify]: Simplify 1 into 1 1.019 * [backup-simplify]: Simplify (/ 1 1) into 1 1.019 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 1.019 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.019 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.019 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.019 * [backup-simplify]: Simplify lambda2 into lambda2 1.019 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.019 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 1.019 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 1.019 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) 1) into (sin (/ 1 lambda2)) 1.019 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) 0) into 0 1.019 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda2)) 0) into (sin (/ 1 lambda2)) 1.019 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) into (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) 1.019 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.019 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.019 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.019 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.019 * [backup-simplify]: Simplify lambda1 into lambda1 1.019 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.019 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 1.019 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 1.019 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.019 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.019 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.019 * [backup-simplify]: Simplify 0 into 0 1.020 * [backup-simplify]: Simplify 1 into 1 1.020 * [backup-simplify]: Simplify (/ 1 1) into 1 1.020 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 1.020 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) 1) into (sin (/ 1 lambda1)) 1.020 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) 0) into 0 1.020 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda1)) 0) into (sin (/ 1 lambda1)) 1.020 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) into (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) 1.020 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) into (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) 1.020 * [backup-simplify]: Simplify (+ 0) into 0 1.021 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 1)) into 0 1.021 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 1.021 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.021 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 0)) into 0 1.022 * [backup-simplify]: Simplify (+ 0 0) into 0 1.022 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 (sin (/ 1 lambda2)))) into 0 1.022 * [taylor]: Taking taylor expansion of 0 in lambda2 1.022 * [backup-simplify]: Simplify 0 into 0 1.022 * [backup-simplify]: Simplify 0 into 0 1.022 * [backup-simplify]: Simplify (+ 0) into 0 1.022 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 1)) into 0 1.022 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0 1.023 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.023 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 0)) into 0 1.023 * [backup-simplify]: Simplify (+ 0 0) into 0 1.023 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 (sin (/ 1 lambda2)))) into 0 1.023 * [backup-simplify]: Simplify 0 into 0 1.024 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.024 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 1.024 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 1.025 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.025 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 1.025 * [backup-simplify]: Simplify (+ 0 0) into 0 1.026 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda2))))) into 0 1.026 * [taylor]: Taking taylor expansion of 0 in lambda2 1.026 * [backup-simplify]: Simplify 0 into 0 1.026 * [backup-simplify]: Simplify 0 into 0 1.026 * [backup-simplify]: Simplify 0 into 0 1.026 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.027 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 1.027 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 1.027 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.028 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 1.028 * [backup-simplify]: Simplify (+ 0 0) into 0 1.028 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda2))))) into 0 1.028 * [backup-simplify]: Simplify 0 into 0 1.029 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.029 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.029 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 1.030 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.030 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.031 * [backup-simplify]: Simplify (+ 0 0) into 0 1.031 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda2)))))) into 0 1.031 * [taylor]: Taking taylor expansion of 0 in lambda2 1.031 * [backup-simplify]: Simplify 0 into 0 1.031 * [backup-simplify]: Simplify 0 into 0 1.031 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 lambda1))) (sin (/ 1 (/ 1 lambda2)))) into (* (sin lambda1) (sin lambda2)) 1.031 * [backup-simplify]: Simplify (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 1.031 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0 1.031 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 1.031 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.031 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.031 * [taylor]: Taking taylor expansion of -1 in lambda2 1.031 * [backup-simplify]: Simplify -1 into -1 1.031 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.032 * [backup-simplify]: Simplify lambda1 into lambda1 1.032 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 1.032 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 1.032 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 1.032 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 1.032 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.032 * [taylor]: Taking taylor expansion of -1 in lambda2 1.032 * [backup-simplify]: Simplify -1 into -1 1.032 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.032 * [backup-simplify]: Simplify 0 into 0 1.032 * [backup-simplify]: Simplify 1 into 1 1.032 * [backup-simplify]: Simplify (/ -1 1) into -1 1.032 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 1.032 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 1.032 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.032 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.032 * [taylor]: Taking taylor expansion of -1 in lambda1 1.032 * [backup-simplify]: Simplify -1 into -1 1.032 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.032 * [backup-simplify]: Simplify 0 into 0 1.032 * [backup-simplify]: Simplify 1 into 1 1.032 * [backup-simplify]: Simplify (/ -1 1) into -1 1.033 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 1.033 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 1.033 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.033 * [taylor]: Taking taylor expansion of -1 in lambda1 1.033 * [backup-simplify]: Simplify -1 into -1 1.033 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.033 * [backup-simplify]: Simplify lambda2 into lambda2 1.033 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 1.033 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 1.033 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 1.033 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 1.033 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.033 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.033 * [taylor]: Taking taylor expansion of -1 in lambda1 1.033 * [backup-simplify]: Simplify -1 into -1 1.033 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.033 * [backup-simplify]: Simplify 0 into 0 1.033 * [backup-simplify]: Simplify 1 into 1 1.033 * [backup-simplify]: Simplify (/ -1 1) into -1 1.033 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 1.033 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 1.033 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.033 * [taylor]: Taking taylor expansion of -1 in lambda1 1.033 * [backup-simplify]: Simplify -1 into -1 1.033 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.033 * [backup-simplify]: Simplify lambda2 into lambda2 1.033 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 1.033 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 1.033 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 1.033 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) 1) into (sin (/ -1 lambda2)) 1.034 * [backup-simplify]: Simplify (* (cos (/ -1 lambda2)) 0) into 0 1.034 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda2)) 0) into (sin (/ -1 lambda2)) 1.034 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 1.034 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 1.034 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.034 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.034 * [taylor]: Taking taylor expansion of -1 in lambda2 1.034 * [backup-simplify]: Simplify -1 into -1 1.034 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.034 * [backup-simplify]: Simplify lambda1 into lambda1 1.034 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 1.034 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 1.034 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 1.034 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 1.034 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.034 * [taylor]: Taking taylor expansion of -1 in lambda2 1.034 * [backup-simplify]: Simplify -1 into -1 1.034 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.034 * [backup-simplify]: Simplify 0 into 0 1.034 * [backup-simplify]: Simplify 1 into 1 1.034 * [backup-simplify]: Simplify (/ -1 1) into -1 1.034 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 1.034 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) 1) into (sin (/ -1 lambda1)) 1.034 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) 0) into 0 1.035 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda1)) 0) into (sin (/ -1 lambda1)) 1.035 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 1.035 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 1.035 * [backup-simplify]: Simplify (+ 0) into 0 1.035 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 1)) into 0 1.035 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)))) into 0 1.036 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.036 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 0)) into 0 1.036 * [backup-simplify]: Simplify (+ 0 0) into 0 1.036 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 1.036 * [taylor]: Taking taylor expansion of 0 in lambda2 1.036 * [backup-simplify]: Simplify 0 into 0 1.036 * [backup-simplify]: Simplify 0 into 0 1.037 * [backup-simplify]: Simplify (+ 0) into 0 1.037 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 1)) into 0 1.037 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)))) into 0 1.037 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.038 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 0)) into 0 1.038 * [backup-simplify]: Simplify (+ 0 0) into 0 1.038 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 1.038 * [backup-simplify]: Simplify 0 into 0 1.039 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.039 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 1.039 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 1.040 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.040 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 1.040 * [backup-simplify]: Simplify (+ 0 0) into 0 1.040 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 1.040 * [taylor]: Taking taylor expansion of 0 in lambda2 1.040 * [backup-simplify]: Simplify 0 into 0 1.040 * [backup-simplify]: Simplify 0 into 0 1.040 * [backup-simplify]: Simplify 0 into 0 1.041 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.041 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 1.041 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 1.042 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.042 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 1.042 * [backup-simplify]: Simplify (+ 0 0) into 0 1.043 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 1.043 * [backup-simplify]: Simplify 0 into 0 1.043 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.044 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.044 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 1.045 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.045 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.045 * [backup-simplify]: Simplify (+ 0 0) into 0 1.046 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2)))))) into 0 1.046 * [taylor]: Taking taylor expansion of 0 in lambda2 1.046 * [backup-simplify]: Simplify 0 into 0 1.046 * [backup-simplify]: Simplify 0 into 0 1.046 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- lambda1)))) (sin (/ -1 (/ 1 (- lambda2))))) into (* (sin lambda1) (sin lambda2)) 1.046 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 1.046 * [backup-simplify]: Simplify (* (sin phi1) (sin phi2)) into (* (sin phi1) (sin phi2)) 1.046 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 1.046 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 1.046 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 1.046 * [taylor]: Taking taylor expansion of phi1 in phi2 1.046 * [backup-simplify]: Simplify phi1 into phi1 1.046 * [backup-simplify]: Simplify (sin phi1) into (sin phi1) 1.046 * [backup-simplify]: Simplify (cos phi1) into (cos phi1) 1.046 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.046 * [taylor]: Taking taylor expansion of phi2 in phi2 1.046 * [backup-simplify]: Simplify 0 into 0 1.046 * [backup-simplify]: Simplify 1 into 1 1.046 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 1.046 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 1.046 * [taylor]: Taking taylor expansion of phi1 in phi1 1.046 * [backup-simplify]: Simplify 0 into 0 1.046 * [backup-simplify]: Simplify 1 into 1 1.046 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 1.046 * [taylor]: Taking taylor expansion of phi2 in phi1 1.046 * [backup-simplify]: Simplify phi2 into phi2 1.046 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 1.046 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 1.046 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 1.046 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 1.046 * [taylor]: Taking taylor expansion of phi1 in phi1 1.046 * [backup-simplify]: Simplify 0 into 0 1.047 * [backup-simplify]: Simplify 1 into 1 1.047 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 1.047 * [taylor]: Taking taylor expansion of phi2 in phi1 1.047 * [backup-simplify]: Simplify phi2 into phi2 1.047 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 1.047 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 1.047 * [backup-simplify]: Simplify (* (sin phi2) 1) into (sin phi2) 1.047 * [backup-simplify]: Simplify (* (cos phi2) 0) into 0 1.047 * [backup-simplify]: Simplify (+ (sin phi2) 0) into (sin phi2) 1.047 * [backup-simplify]: Simplify (* 0 (sin phi2)) into 0 1.047 * [taylor]: Taking taylor expansion of 0 in phi2 1.047 * [backup-simplify]: Simplify 0 into 0 1.047 * [backup-simplify]: Simplify 0 into 0 1.047 * [backup-simplify]: Simplify (+ 0) into 0 1.047 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (* 0 1)) into 0 1.048 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.048 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (* 0 0)) into 0 1.048 * [backup-simplify]: Simplify (+ 0 0) into 0 1.049 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.049 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin phi2))) into (sin phi2) 1.049 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.049 * [taylor]: Taking taylor expansion of phi2 in phi2 1.049 * [backup-simplify]: Simplify 0 into 0 1.049 * [backup-simplify]: Simplify 1 into 1 1.049 * [backup-simplify]: Simplify 0 into 0 1.049 * [backup-simplify]: Simplify 0 into 0 1.049 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.050 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (* 0 1))) into 0 1.050 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.051 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* 0 0))) into 0 1.051 * [backup-simplify]: Simplify (+ 0 0) into 0 1.051 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.052 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin phi2)))) into 0 1.052 * [taylor]: Taking taylor expansion of 0 in phi2 1.052 * [backup-simplify]: Simplify 0 into 0 1.052 * [backup-simplify]: Simplify 0 into 0 1.052 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.052 * [backup-simplify]: Simplify 1 into 1 1.052 * [backup-simplify]: Simplify 0 into 0 1.053 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.053 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.054 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.054 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.055 * [backup-simplify]: Simplify (+ 0 0) into 0 1.055 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 1.056 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin phi2))))) into (- (* 1/6 (sin phi2))) 1.056 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 1.056 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 1.056 * [taylor]: Taking taylor expansion of 1/6 in phi2 1.056 * [backup-simplify]: Simplify 1/6 into 1/6 1.056 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.056 * [taylor]: Taking taylor expansion of phi2 in phi2 1.056 * [backup-simplify]: Simplify 0 into 0 1.056 * [backup-simplify]: Simplify 1 into 1 1.057 * [backup-simplify]: Simplify (* 1/6 0) into 0 1.057 * [backup-simplify]: Simplify (- 0) into 0 1.057 * [backup-simplify]: Simplify 0 into 0 1.057 * [backup-simplify]: Simplify 0 into 0 1.057 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.057 * [backup-simplify]: Simplify 0 into 0 1.057 * [backup-simplify]: Simplify 0 into 0 1.058 * [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 1.059 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.060 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.060 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 1.060 * [backup-simplify]: Simplify (+ 0 0) into 0 1.061 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.062 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin phi2)))))) into 0 1.062 * [taylor]: Taking taylor expansion of 0 in phi2 1.062 * [backup-simplify]: Simplify 0 into 0 1.062 * [backup-simplify]: Simplify 0 into 0 1.062 * [backup-simplify]: Simplify (* 1 (* phi2 phi1)) into (* phi2 phi1) 1.062 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 1.062 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 1.062 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 1.062 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 1.062 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.062 * [taylor]: Taking taylor expansion of phi1 in phi2 1.062 * [backup-simplify]: Simplify phi1 into phi1 1.062 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.062 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 1.062 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 1.062 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 1.062 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.062 * [taylor]: Taking taylor expansion of phi2 in phi2 1.062 * [backup-simplify]: Simplify 0 into 0 1.062 * [backup-simplify]: Simplify 1 into 1 1.063 * [backup-simplify]: Simplify (/ 1 1) into 1 1.063 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 1.063 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 1.063 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 1.063 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.063 * [taylor]: Taking taylor expansion of phi1 in phi1 1.063 * [backup-simplify]: Simplify 0 into 0 1.063 * [backup-simplify]: Simplify 1 into 1 1.063 * [backup-simplify]: Simplify (/ 1 1) into 1 1.063 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 1.063 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 1.063 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.063 * [taylor]: Taking taylor expansion of phi2 in phi1 1.063 * [backup-simplify]: Simplify phi2 into phi2 1.063 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.063 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 1.063 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 1.063 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 1.063 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 1.063 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.063 * [taylor]: Taking taylor expansion of phi1 in phi1 1.063 * [backup-simplify]: Simplify 0 into 0 1.063 * [backup-simplify]: Simplify 1 into 1 1.064 * [backup-simplify]: Simplify (/ 1 1) into 1 1.064 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 1.064 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 1.064 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.064 * [taylor]: Taking taylor expansion of phi2 in phi1 1.064 * [backup-simplify]: Simplify phi2 into phi2 1.064 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.064 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 1.064 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 1.064 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 1) into (sin (/ 1 phi2)) 1.064 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 0) into 0 1.064 * [backup-simplify]: Simplify (+ (sin (/ 1 phi2)) 0) into (sin (/ 1 phi2)) 1.064 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 1.064 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 1.064 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 1.064 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.064 * [taylor]: Taking taylor expansion of phi1 in phi2 1.064 * [backup-simplify]: Simplify phi1 into phi1 1.064 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.064 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 1.064 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 1.064 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 1.064 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.064 * [taylor]: Taking taylor expansion of phi2 in phi2 1.064 * [backup-simplify]: Simplify 0 into 0 1.064 * [backup-simplify]: Simplify 1 into 1 1.065 * [backup-simplify]: Simplify (/ 1 1) into 1 1.065 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 1.065 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 1) into (sin (/ 1 phi1)) 1.065 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 0) into 0 1.065 * [backup-simplify]: Simplify (+ (sin (/ 1 phi1)) 0) into (sin (/ 1 phi1)) 1.065 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 1.065 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 1.065 * [backup-simplify]: Simplify (+ 0) into 0 1.066 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 1)) into 0 1.066 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1.066 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.066 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 0)) into 0 1.067 * [backup-simplify]: Simplify (+ 0 0) into 0 1.067 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 (sin (/ 1 phi2)))) into 0 1.067 * [taylor]: Taking taylor expansion of 0 in phi2 1.067 * [backup-simplify]: Simplify 0 into 0 1.067 * [backup-simplify]: Simplify 0 into 0 1.067 * [backup-simplify]: Simplify (+ 0) into 0 1.067 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 1)) into 0 1.067 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1.068 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.068 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 0)) into 0 1.068 * [backup-simplify]: Simplify (+ 0 0) into 0 1.068 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 (sin (/ 1 phi2)))) into 0 1.068 * [backup-simplify]: Simplify 0 into 0 1.069 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.069 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 1.069 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.070 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.070 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 1.070 * [backup-simplify]: Simplify (+ 0 0) into 0 1.071 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi2))))) into 0 1.071 * [taylor]: Taking taylor expansion of 0 in phi2 1.071 * [backup-simplify]: Simplify 0 into 0 1.071 * [backup-simplify]: Simplify 0 into 0 1.071 * [backup-simplify]: Simplify 0 into 0 1.071 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.072 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 1.072 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1.072 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.072 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 1.073 * [backup-simplify]: Simplify (+ 0 0) into 0 1.073 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi2))))) into 0 1.073 * [backup-simplify]: Simplify 0 into 0 1.074 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.074 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.074 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.075 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.075 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.075 * [backup-simplify]: Simplify (+ 0 0) into 0 1.076 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 phi2)))))) into 0 1.076 * [taylor]: Taking taylor expansion of 0 in phi2 1.076 * [backup-simplify]: Simplify 0 into 0 1.076 * [backup-simplify]: Simplify 0 into 0 1.076 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 phi1))) (sin (/ 1 (/ 1 phi2)))) into (* (sin phi1) (sin phi2)) 1.076 * [backup-simplify]: Simplify (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 1.076 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 1.076 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.076 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 1.076 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.076 * [taylor]: Taking taylor expansion of -1 in phi2 1.076 * [backup-simplify]: Simplify -1 into -1 1.076 * [taylor]: Taking taylor expansion of phi1 in phi2 1.076 * [backup-simplify]: Simplify phi1 into phi1 1.076 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 1.076 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 1.077 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 1.077 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 1.077 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.077 * [taylor]: Taking taylor expansion of -1 in phi2 1.077 * [backup-simplify]: Simplify -1 into -1 1.077 * [taylor]: Taking taylor expansion of phi2 in phi2 1.077 * [backup-simplify]: Simplify 0 into 0 1.077 * [backup-simplify]: Simplify 1 into 1 1.077 * [backup-simplify]: Simplify (/ -1 1) into -1 1.077 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 1.077 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 1.077 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 1.077 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.077 * [taylor]: Taking taylor expansion of -1 in phi1 1.077 * [backup-simplify]: Simplify -1 into -1 1.077 * [taylor]: Taking taylor expansion of phi1 in phi1 1.077 * [backup-simplify]: Simplify 0 into 0 1.077 * [backup-simplify]: Simplify 1 into 1 1.077 * [backup-simplify]: Simplify (/ -1 1) into -1 1.077 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 1.077 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 1.077 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.077 * [taylor]: Taking taylor expansion of -1 in phi1 1.077 * [backup-simplify]: Simplify -1 into -1 1.077 * [taylor]: Taking taylor expansion of phi2 in phi1 1.077 * [backup-simplify]: Simplify phi2 into phi2 1.078 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 1.078 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 1.078 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 1.078 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 1.078 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 1.078 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.078 * [taylor]: Taking taylor expansion of -1 in phi1 1.078 * [backup-simplify]: Simplify -1 into -1 1.078 * [taylor]: Taking taylor expansion of phi1 in phi1 1.078 * [backup-simplify]: Simplify 0 into 0 1.078 * [backup-simplify]: Simplify 1 into 1 1.078 * [backup-simplify]: Simplify (/ -1 1) into -1 1.078 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 1.078 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 1.078 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.078 * [taylor]: Taking taylor expansion of -1 in phi1 1.078 * [backup-simplify]: Simplify -1 into -1 1.078 * [taylor]: Taking taylor expansion of phi2 in phi1 1.078 * [backup-simplify]: Simplify phi2 into phi2 1.078 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 1.078 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 1.078 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 1.078 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 1) into (sin (/ -1 phi2)) 1.078 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 0) into 0 1.078 * [backup-simplify]: Simplify (+ (sin (/ -1 phi2)) 0) into (sin (/ -1 phi2)) 1.079 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 1.079 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.079 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 1.079 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.079 * [taylor]: Taking taylor expansion of -1 in phi2 1.079 * [backup-simplify]: Simplify -1 into -1 1.079 * [taylor]: Taking taylor expansion of phi1 in phi2 1.079 * [backup-simplify]: Simplify phi1 into phi1 1.079 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 1.079 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 1.079 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 1.079 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 1.079 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.079 * [taylor]: Taking taylor expansion of -1 in phi2 1.079 * [backup-simplify]: Simplify -1 into -1 1.079 * [taylor]: Taking taylor expansion of phi2 in phi2 1.079 * [backup-simplify]: Simplify 0 into 0 1.079 * [backup-simplify]: Simplify 1 into 1 1.079 * [backup-simplify]: Simplify (/ -1 1) into -1 1.079 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 1.079 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 1) into (sin (/ -1 phi1)) 1.079 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 0) into 0 1.079 * [backup-simplify]: Simplify (+ (sin (/ -1 phi1)) 0) into (sin (/ -1 phi1)) 1.079 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 1.080 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 1.080 * [backup-simplify]: Simplify (+ 0) into 0 1.080 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 1)) into 0 1.080 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0 1.081 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.081 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 0)) into 0 1.081 * [backup-simplify]: Simplify (+ 0 0) into 0 1.081 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 1.081 * [taylor]: Taking taylor expansion of 0 in phi2 1.081 * [backup-simplify]: Simplify 0 into 0 1.081 * [backup-simplify]: Simplify 0 into 0 1.081 * [backup-simplify]: Simplify (+ 0) into 0 1.082 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 1)) into 0 1.082 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0 1.082 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.083 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 0)) into 0 1.083 * [backup-simplify]: Simplify (+ 0 0) into 0 1.083 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 1.083 * [backup-simplify]: Simplify 0 into 0 1.083 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.084 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 1.084 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.084 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.085 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 1.085 * [backup-simplify]: Simplify (+ 0 0) into 0 1.085 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 1.085 * [taylor]: Taking taylor expansion of 0 in phi2 1.085 * [backup-simplify]: Simplify 0 into 0 1.085 * [backup-simplify]: Simplify 0 into 0 1.085 * [backup-simplify]: Simplify 0 into 0 1.086 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.086 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 1.086 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1.091 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.091 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 1.091 * [backup-simplify]: Simplify (+ 0 0) into 0 1.092 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 1.092 * [backup-simplify]: Simplify 0 into 0 1.092 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.093 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.093 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.094 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.094 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.094 * [backup-simplify]: Simplify (+ 0 0) into 0 1.095 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2)))))) into 0 1.095 * [taylor]: Taking taylor expansion of 0 in phi2 1.095 * [backup-simplify]: Simplify 0 into 0 1.095 * [backup-simplify]: Simplify 0 into 0 1.095 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) into (* (sin phi1) (sin phi2)) 1.095 * * * [progress]: simplifying candidates 1.096 * [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) (* (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 lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (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))))))) 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 lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R) (* lambda2 lambda1) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 1.096 * [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) (* (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 h2) (* (cos h4) (* (cos h3) (sin h1)))) (+ (* (cos h2) (* (cos h4) (* (cos h3) (cos h1)))) (* (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))))))) 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 h2) (* (cos h4) (* (cos h3) (sin h1)))) (+ (* (cos h2) (* (cos h4) (* (cos h3) (cos h1)))) (* (sin h4) (sin h3))))) h5) (* h1 h2) (* (sin h2) (sin h1)) (* (sin h2) (sin h1)) (* h3 h4) (* (sin h4) (sin h3)) (* (sin h4) (sin h3)) 1.101 * * [simplify]: iteration 0 : 260 enodes (cost 929 ) 1.105 * * [simplify]: iteration 1 : 831 enodes (cost 774 ) 1.118 * * [simplify]: iteration 2 : 1930 enodes (cost 774 ) 1.138 * * [simplify]: iteration 3 : 3056 enodes (cost 774 ) 1.166 * * [simplify]: iteration 4 : 5001 enodes (cost 774 ) 1.169 * * * [progress]: adding candidates to table 1.473 * * [progress]: iteration 3 / 4 1.473 * * * [progress]: picking best candidate 1.556 * * * * [pick]: Picked # 1.556 * * * [progress]: localizing error 1.598 * * * [progress]: generating rewritten candidates 1.598 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 1.600 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 1.601 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.619 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.623 * * * [progress]: generating series expansions 1.623 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 1.623 * [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))))))) 1.623 * [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 1.623 * [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 1.624 * [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))))))) 1.624 * [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 1.624 * [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))))))) 1.624 * [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 1.625 * [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))))))) 1.625 * [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 1.625 * [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))))))) 1.625 * [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 1.625 * [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))))))) 1.625 * [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 1.626 * [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))))))) 1.626 * [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 1.626 * [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))))))) 1.626 * [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 1.627 * [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))))))) 1.627 * [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))))))) 1.627 * [taylor]: Taking taylor expansion of 0 in phi2 1.627 * [backup-simplify]: Simplify 0 into 0 1.627 * [taylor]: Taking taylor expansion of 0 in lambda1 1.627 * [backup-simplify]: Simplify 0 into 0 1.627 * [taylor]: Taking taylor expansion of 0 in lambda2 1.627 * [backup-simplify]: Simplify 0 into 0 1.627 * [backup-simplify]: Simplify 0 into 0 1.627 * [taylor]: Taking taylor expansion of 0 in lambda1 1.627 * [backup-simplify]: Simplify 0 into 0 1.627 * [taylor]: Taking taylor expansion of 0 in lambda2 1.627 * [backup-simplify]: Simplify 0 into 0 1.627 * [backup-simplify]: Simplify 0 into 0 1.627 * [taylor]: Taking taylor expansion of 0 in lambda2 1.627 * [backup-simplify]: Simplify 0 into 0 1.627 * [backup-simplify]: Simplify 0 into 0 1.627 * [backup-simplify]: Simplify 0 into 0 1.627 * [taylor]: Taking taylor expansion of 0 in phi2 1.627 * [backup-simplify]: Simplify 0 into 0 1.627 * [taylor]: Taking taylor expansion of 0 in lambda1 1.627 * [backup-simplify]: Simplify 0 into 0 1.627 * [taylor]: Taking taylor expansion of 0 in lambda2 1.627 * [backup-simplify]: Simplify 0 into 0 1.627 * [backup-simplify]: Simplify 0 into 0 1.627 * [taylor]: Taking taylor expansion of 0 in lambda1 1.627 * [backup-simplify]: Simplify 0 into 0 1.627 * [taylor]: Taking taylor expansion of 0 in lambda2 1.627 * [backup-simplify]: Simplify 0 into 0 1.627 * [backup-simplify]: Simplify 0 into 0 1.628 * [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))))))) 1.628 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 1.628 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.628 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 1.629 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 1.629 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 1.629 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 1.629 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 1.630 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 1.630 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 1.630 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 1.630 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 1.631 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 1.631 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 1.632 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 1.632 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 1.632 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 1.632 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 1.633 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 1.633 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 1.633 * [taylor]: Taking taylor expansion of 0 in phi2 1.633 * [backup-simplify]: Simplify 0 into 0 1.633 * [taylor]: Taking taylor expansion of 0 in lambda1 1.633 * [backup-simplify]: Simplify 0 into 0 1.633 * [taylor]: Taking taylor expansion of 0 in lambda2 1.633 * [backup-simplify]: Simplify 0 into 0 1.633 * [backup-simplify]: Simplify 0 into 0 1.633 * [taylor]: Taking taylor expansion of 0 in lambda1 1.633 * [backup-simplify]: Simplify 0 into 0 1.633 * [taylor]: Taking taylor expansion of 0 in lambda2 1.633 * [backup-simplify]: Simplify 0 into 0 1.633 * [backup-simplify]: Simplify 0 into 0 1.633 * [taylor]: Taking taylor expansion of 0 in lambda2 1.633 * [backup-simplify]: Simplify 0 into 0 1.633 * [backup-simplify]: Simplify 0 into 0 1.634 * [backup-simplify]: Simplify 0 into 0 1.634 * [taylor]: Taking taylor expansion of 0 in phi2 1.634 * [backup-simplify]: Simplify 0 into 0 1.634 * [taylor]: Taking taylor expansion of 0 in lambda1 1.634 * [backup-simplify]: Simplify 0 into 0 1.634 * [taylor]: Taking taylor expansion of 0 in lambda2 1.634 * [backup-simplify]: Simplify 0 into 0 1.634 * [backup-simplify]: Simplify 0 into 0 1.634 * [taylor]: Taking taylor expansion of 0 in lambda1 1.634 * [backup-simplify]: Simplify 0 into 0 1.634 * [taylor]: Taking taylor expansion of 0 in lambda2 1.634 * [backup-simplify]: Simplify 0 into 0 1.634 * [backup-simplify]: Simplify 0 into 0 1.634 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 phi1))) (cos (/ 1 (/ 1 lambda1)))))) (+ (* (sin (/ 1 (/ 1 phi1))) (sin (/ 1 (/ 1 phi2)))) (* (sin (/ 1 (/ 1 lambda1))) (* (sin (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi2))) (cos (/ 1 (/ 1 phi1))))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) 1.635 * [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))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1.635 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0 1.635 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 1.635 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1.635 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 1.636 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1.636 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 1.636 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1.636 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 1.637 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1.637 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 1.638 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1.638 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 1.638 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1.638 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 1.639 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1.639 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 1.639 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1.640 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1.640 * [taylor]: Taking taylor expansion of 0 in phi2 1.640 * [backup-simplify]: Simplify 0 into 0 1.640 * [taylor]: Taking taylor expansion of 0 in lambda1 1.640 * [backup-simplify]: Simplify 0 into 0 1.640 * [taylor]: Taking taylor expansion of 0 in lambda2 1.640 * [backup-simplify]: Simplify 0 into 0 1.640 * [backup-simplify]: Simplify 0 into 0 1.640 * [taylor]: Taking taylor expansion of 0 in lambda1 1.640 * [backup-simplify]: Simplify 0 into 0 1.640 * [taylor]: Taking taylor expansion of 0 in lambda2 1.640 * [backup-simplify]: Simplify 0 into 0 1.640 * [backup-simplify]: Simplify 0 into 0 1.640 * [taylor]: Taking taylor expansion of 0 in lambda2 1.640 * [backup-simplify]: Simplify 0 into 0 1.640 * [backup-simplify]: Simplify 0 into 0 1.640 * [backup-simplify]: Simplify 0 into 0 1.640 * [taylor]: Taking taylor expansion of 0 in phi2 1.640 * [backup-simplify]: Simplify 0 into 0 1.640 * [taylor]: Taking taylor expansion of 0 in lambda1 1.641 * [backup-simplify]: Simplify 0 into 0 1.641 * [taylor]: Taking taylor expansion of 0 in lambda2 1.641 * [backup-simplify]: Simplify 0 into 0 1.641 * [backup-simplify]: Simplify 0 into 0 1.641 * [taylor]: Taking taylor expansion of 0 in lambda1 1.641 * [backup-simplify]: Simplify 0 into 0 1.641 * [taylor]: Taking taylor expansion of 0 in lambda2 1.641 * [backup-simplify]: Simplify 0 into 0 1.641 * [backup-simplify]: Simplify 0 into 0 1.641 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2))))))) (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2)))))))) into (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 1.641 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 1.642 * [backup-simplify]: Simplify (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) into (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) 1.642 * [approximate]: Taking taylor expansion of (log (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 1.642 * [taylor]: Taking taylor expansion of (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda2 1.642 * [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 1.642 * [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))))))) 1.643 * [backup-simplify]: Simplify (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) into (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) 1.643 * [taylor]: Taking taylor expansion of (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda1 1.643 * [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 1.643 * [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))))))) 1.643 * [backup-simplify]: Simplify (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) into (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) 1.644 * [taylor]: Taking taylor expansion of (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi2 1.644 * [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 1.644 * [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))))))) 1.644 * [backup-simplify]: Simplify (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) into (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) 1.644 * [taylor]: Taking taylor expansion of (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi1 1.644 * [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 1.645 * [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))))))) 1.645 * [backup-simplify]: Simplify (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) into (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) 1.645 * [taylor]: Taking taylor expansion of (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi1 1.645 * [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 1.645 * [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))))))) 1.646 * [backup-simplify]: Simplify (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) into (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) 1.646 * [taylor]: Taking taylor expansion of (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi2 1.646 * [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 1.646 * [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))))))) 1.647 * [backup-simplify]: Simplify (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) into (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) 1.647 * [taylor]: Taking taylor expansion of (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda1 1.647 * [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 1.647 * [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))))))) 1.648 * [backup-simplify]: Simplify (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) into (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) 1.648 * [taylor]: Taking taylor expansion of (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda2 1.648 * [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 1.648 * [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))))))) 1.648 * [backup-simplify]: Simplify (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) into (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) 1.649 * [backup-simplify]: Simplify (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) into (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) 1.650 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) 1)))) 1) into 0 1.651 * [taylor]: Taking taylor expansion of 0 in phi2 1.651 * [backup-simplify]: Simplify 0 into 0 1.651 * [taylor]: Taking taylor expansion of 0 in lambda1 1.651 * [backup-simplify]: Simplify 0 into 0 1.651 * [taylor]: Taking taylor expansion of 0 in lambda2 1.651 * [backup-simplify]: Simplify 0 into 0 1.651 * [backup-simplify]: Simplify 0 into 0 1.652 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) 1)))) 1) into 0 1.652 * [taylor]: Taking taylor expansion of 0 in lambda1 1.652 * [backup-simplify]: Simplify 0 into 0 1.652 * [taylor]: Taking taylor expansion of 0 in lambda2 1.652 * [backup-simplify]: Simplify 0 into 0 1.652 * [backup-simplify]: Simplify 0 into 0 1.653 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) 1)))) 1) into 0 1.653 * [taylor]: Taking taylor expansion of 0 in lambda2 1.653 * [backup-simplify]: Simplify 0 into 0 1.653 * [backup-simplify]: Simplify 0 into 0 1.654 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) 1)))) 1) into 0 1.654 * [backup-simplify]: Simplify 0 into 0 1.656 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) 1)))) 2) into 0 1.656 * [taylor]: Taking taylor expansion of 0 in phi2 1.656 * [backup-simplify]: Simplify 0 into 0 1.656 * [taylor]: Taking taylor expansion of 0 in lambda1 1.656 * [backup-simplify]: Simplify 0 into 0 1.656 * [taylor]: Taking taylor expansion of 0 in lambda2 1.656 * [backup-simplify]: Simplify 0 into 0 1.656 * [backup-simplify]: Simplify 0 into 0 1.656 * [taylor]: Taking taylor expansion of 0 in lambda1 1.656 * [backup-simplify]: Simplify 0 into 0 1.656 * [taylor]: Taking taylor expansion of 0 in lambda2 1.656 * [backup-simplify]: Simplify 0 into 0 1.656 * [backup-simplify]: Simplify 0 into 0 1.657 * [backup-simplify]: Simplify (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) into (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) 1.657 * [backup-simplify]: Simplify (log (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 (log (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) 1.657 * [approximate]: Taking taylor expansion of (log (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.657 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda2 1.657 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 1.658 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 1.658 * [backup-simplify]: Simplify (log (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) into (log (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) 1.658 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda1 1.658 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 1.659 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 1.659 * [backup-simplify]: Simplify (log (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) into (log (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) 1.659 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi2 1.659 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 1.660 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 1.660 * [backup-simplify]: Simplify (log (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) into (log (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) 1.660 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi1 1.660 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 1.661 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 1.661 * [backup-simplify]: Simplify (log (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) into (log (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) 1.662 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi1 1.662 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 1.662 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 1.663 * [backup-simplify]: Simplify (log (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) into (log (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) 1.663 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi2 1.663 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 1.663 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 1.664 * [backup-simplify]: Simplify (log (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) into (log (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) 1.664 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda1 1.664 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 1.664 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 1.665 * [backup-simplify]: Simplify (log (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) into (log (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) 1.665 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda2 1.665 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 1.665 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 1.666 * [backup-simplify]: Simplify (log (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) into (log (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) 1.666 * [backup-simplify]: Simplify (log (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) into (log (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) 1.671 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 1)))) 1) into 0 1.671 * [taylor]: Taking taylor expansion of 0 in phi2 1.671 * [backup-simplify]: Simplify 0 into 0 1.671 * [taylor]: Taking taylor expansion of 0 in lambda1 1.671 * [backup-simplify]: Simplify 0 into 0 1.671 * [taylor]: Taking taylor expansion of 0 in lambda2 1.671 * [backup-simplify]: Simplify 0 into 0 1.671 * [backup-simplify]: Simplify 0 into 0 1.672 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 1)))) 1) into 0 1.672 * [taylor]: Taking taylor expansion of 0 in lambda1 1.672 * [backup-simplify]: Simplify 0 into 0 1.672 * [taylor]: Taking taylor expansion of 0 in lambda2 1.673 * [backup-simplify]: Simplify 0 into 0 1.673 * [backup-simplify]: Simplify 0 into 0 1.674 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 1)))) 1) into 0 1.674 * [taylor]: Taking taylor expansion of 0 in lambda2 1.674 * [backup-simplify]: Simplify 0 into 0 1.674 * [backup-simplify]: Simplify 0 into 0 1.675 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 1)))) 1) into 0 1.675 * [backup-simplify]: Simplify 0 into 0 1.677 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 1)))) 2) into 0 1.677 * [taylor]: Taking taylor expansion of 0 in phi2 1.677 * [backup-simplify]: Simplify 0 into 0 1.677 * [taylor]: Taking taylor expansion of 0 in lambda1 1.677 * [backup-simplify]: Simplify 0 into 0 1.677 * [taylor]: Taking taylor expansion of 0 in lambda2 1.677 * [backup-simplify]: Simplify 0 into 0 1.677 * [backup-simplify]: Simplify 0 into 0 1.677 * [taylor]: Taking taylor expansion of 0 in lambda1 1.677 * [backup-simplify]: Simplify 0 into 0 1.677 * [taylor]: Taking taylor expansion of 0 in lambda2 1.677 * [backup-simplify]: Simplify 0 into 0 1.677 * [backup-simplify]: Simplify 0 into 0 1.678 * [backup-simplify]: Simplify (log (acos (+ (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 phi1))) (cos (/ 1 (/ 1 lambda1)))))) (+ (* (sin (/ 1 (/ 1 phi1))) (sin (/ 1 (/ 1 phi2)))) (* (sin (/ 1 (/ 1 lambda1))) (* (sin (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi2))) (cos (/ 1 (/ 1 phi1)))))))))) into (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) 1.679 * [backup-simplify]: Simplify (log (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 (log (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) 1.679 * [approximate]: Taking taylor expansion of (log (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.679 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda2 1.679 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 1.679 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1.680 * [backup-simplify]: Simplify (log (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) into (log (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) 1.680 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda1 1.680 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 1.680 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1.681 * [backup-simplify]: Simplify (log (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) into (log (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) 1.681 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi2 1.681 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 1.681 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1.682 * [backup-simplify]: Simplify (log (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) into (log (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) 1.682 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi1 1.682 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 1.682 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1.683 * [backup-simplify]: Simplify (log (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) into (log (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) 1.683 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi1 1.683 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 1.684 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1.684 * [backup-simplify]: Simplify (log (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) into (log (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) 1.684 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi2 1.684 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 1.685 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1.685 * [backup-simplify]: Simplify (log (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) into (log (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) 1.685 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda1 1.685 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 1.686 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1.686 * [backup-simplify]: Simplify (log (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) into (log (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) 1.686 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda2 1.686 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 1.687 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1.687 * [backup-simplify]: Simplify (log (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) into (log (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) 1.688 * [backup-simplify]: Simplify (log (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) into (log (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) 1.690 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1)))) 1) into 0 1.690 * [taylor]: Taking taylor expansion of 0 in phi2 1.690 * [backup-simplify]: Simplify 0 into 0 1.690 * [taylor]: Taking taylor expansion of 0 in lambda1 1.690 * [backup-simplify]: Simplify 0 into 0 1.690 * [taylor]: Taking taylor expansion of 0 in lambda2 1.690 * [backup-simplify]: Simplify 0 into 0 1.690 * [backup-simplify]: Simplify 0 into 0 1.691 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1)))) 1) into 0 1.691 * [taylor]: Taking taylor expansion of 0 in lambda1 1.691 * [backup-simplify]: Simplify 0 into 0 1.691 * [taylor]: Taking taylor expansion of 0 in lambda2 1.691 * [backup-simplify]: Simplify 0 into 0 1.691 * [backup-simplify]: Simplify 0 into 0 1.692 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1)))) 1) into 0 1.692 * [taylor]: Taking taylor expansion of 0 in lambda2 1.692 * [backup-simplify]: Simplify 0 into 0 1.692 * [backup-simplify]: Simplify 0 into 0 1.693 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1)))) 1) into 0 1.694 * [backup-simplify]: Simplify 0 into 0 1.696 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1)))) 2) into 0 1.696 * [taylor]: Taking taylor expansion of 0 in phi2 1.696 * [backup-simplify]: Simplify 0 into 0 1.696 * [taylor]: Taking taylor expansion of 0 in lambda1 1.696 * [backup-simplify]: Simplify 0 into 0 1.696 * [taylor]: Taking taylor expansion of 0 in lambda2 1.696 * [backup-simplify]: Simplify 0 into 0 1.696 * [backup-simplify]: Simplify 0 into 0 1.696 * [taylor]: Taking taylor expansion of 0 in lambda1 1.696 * [backup-simplify]: Simplify 0 into 0 1.696 * [taylor]: Taking taylor expansion of 0 in lambda2 1.696 * [backup-simplify]: Simplify 0 into 0 1.696 * [backup-simplify]: Simplify 0 into 0 1.697 * [backup-simplify]: Simplify (log (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2))))))) (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))))))) into (log (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 1.697 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.697 * [backup-simplify]: Simplify (* (exp (log (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) 1.697 * [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 1.697 * [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 1.697 * [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 1.698 * [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))))))) 1.698 * [taylor]: Taking taylor expansion of R in R 1.698 * [backup-simplify]: Simplify 0 into 0 1.698 * [backup-simplify]: Simplify 1 into 1 1.698 * [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 1.698 * [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 1.698 * [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))))))) 1.698 * [taylor]: Taking taylor expansion of R in lambda2 1.698 * [backup-simplify]: Simplify R into R 1.698 * [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 1.698 * [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 1.699 * [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))))))) 1.699 * [taylor]: Taking taylor expansion of R in lambda1 1.699 * [backup-simplify]: Simplify R into R 1.699 * [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 1.699 * [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 1.699 * [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))))))) 1.699 * [taylor]: Taking taylor expansion of R in phi2 1.699 * [backup-simplify]: Simplify R into R 1.699 * [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 1.699 * [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 1.700 * [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))))))) 1.700 * [taylor]: Taking taylor expansion of R in phi1 1.700 * [backup-simplify]: Simplify R into R 1.700 * [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 1.700 * [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 1.700 * [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))))))) 1.700 * [taylor]: Taking taylor expansion of R in phi1 1.700 * [backup-simplify]: Simplify R into R 1.700 * [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) 1.701 * [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 1.701 * [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 1.701 * [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))))))) 1.701 * [taylor]: Taking taylor expansion of R in phi2 1.701 * [backup-simplify]: Simplify R into R 1.701 * [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) 1.701 * [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 1.701 * [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 1.702 * [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))))))) 1.702 * [taylor]: Taking taylor expansion of R in lambda1 1.702 * [backup-simplify]: Simplify R into R 1.702 * [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) 1.702 * [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 1.702 * [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 1.703 * [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))))))) 1.703 * [taylor]: Taking taylor expansion of R in lambda2 1.703 * [backup-simplify]: Simplify R into R 1.703 * [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) 1.703 * [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 1.703 * [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 1.703 * [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))))))) 1.703 * [taylor]: Taking taylor expansion of R in R 1.703 * [backup-simplify]: Simplify 0 into 0 1.703 * [backup-simplify]: Simplify 1 into 1 1.704 * [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 1.704 * [backup-simplify]: Simplify 0 into 0 1.704 * [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 1.704 * [taylor]: Taking taylor expansion of 0 in phi2 1.704 * [backup-simplify]: Simplify 0 into 0 1.704 * [taylor]: Taking taylor expansion of 0 in lambda1 1.704 * [backup-simplify]: Simplify 0 into 0 1.704 * [taylor]: Taking taylor expansion of 0 in lambda2 1.704 * [backup-simplify]: Simplify 0 into 0 1.704 * [taylor]: Taking taylor expansion of 0 in R 1.704 * [backup-simplify]: Simplify 0 into 0 1.704 * [backup-simplify]: Simplify 0 into 0 1.705 * [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 1.705 * [taylor]: Taking taylor expansion of 0 in lambda1 1.705 * [backup-simplify]: Simplify 0 into 0 1.705 * [taylor]: Taking taylor expansion of 0 in lambda2 1.705 * [backup-simplify]: Simplify 0 into 0 1.705 * [taylor]: Taking taylor expansion of 0 in R 1.705 * [backup-simplify]: Simplify 0 into 0 1.705 * [backup-simplify]: Simplify 0 into 0 1.705 * [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 1.705 * [taylor]: Taking taylor expansion of 0 in lambda2 1.705 * [backup-simplify]: Simplify 0 into 0 1.706 * [taylor]: Taking taylor expansion of 0 in R 1.706 * [backup-simplify]: Simplify 0 into 0 1.706 * [backup-simplify]: Simplify 0 into 0 1.706 * [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 1.706 * [taylor]: Taking taylor expansion of 0 in R 1.706 * [backup-simplify]: Simplify 0 into 0 1.706 * [backup-simplify]: Simplify 0 into 0 1.707 * [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))))))) 1.707 * [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))))))) 1.708 * [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 1.708 * [taylor]: Taking taylor expansion of 0 in phi2 1.708 * [backup-simplify]: Simplify 0 into 0 1.708 * [taylor]: Taking taylor expansion of 0 in lambda1 1.708 * [backup-simplify]: Simplify 0 into 0 1.708 * [taylor]: Taking taylor expansion of 0 in lambda2 1.708 * [backup-simplify]: Simplify 0 into 0 1.708 * [taylor]: Taking taylor expansion of 0 in R 1.708 * [backup-simplify]: Simplify 0 into 0 1.708 * [backup-simplify]: Simplify 0 into 0 1.708 * [taylor]: Taking taylor expansion of 0 in lambda1 1.708 * [backup-simplify]: Simplify 0 into 0 1.708 * [taylor]: Taking taylor expansion of 0 in lambda2 1.708 * [backup-simplify]: Simplify 0 into 0 1.708 * [taylor]: Taking taylor expansion of 0 in R 1.708 * [backup-simplify]: Simplify 0 into 0 1.708 * [backup-simplify]: Simplify 0 into 0 1.709 * [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 1.709 * [taylor]: Taking taylor expansion of 0 in lambda1 1.709 * [backup-simplify]: Simplify 0 into 0 1.709 * [taylor]: Taking taylor expansion of 0 in lambda2 1.709 * [backup-simplify]: Simplify 0 into 0 1.709 * [taylor]: Taking taylor expansion of 0 in R 1.709 * [backup-simplify]: Simplify 0 into 0 1.709 * [backup-simplify]: Simplify 0 into 0 1.709 * [taylor]: Taking taylor expansion of 0 in lambda2 1.709 * [backup-simplify]: Simplify 0 into 0 1.709 * [taylor]: Taking taylor expansion of 0 in R 1.709 * [backup-simplify]: Simplify 0 into 0 1.709 * [backup-simplify]: Simplify 0 into 0 1.709 * [taylor]: Taking taylor expansion of 0 in lambda2 1.709 * [backup-simplify]: Simplify 0 into 0 1.709 * [taylor]: Taking taylor expansion of 0 in R 1.709 * [backup-simplify]: Simplify 0 into 0 1.709 * [backup-simplify]: Simplify 0 into 0 1.710 * [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 1.710 * [taylor]: Taking taylor expansion of 0 in lambda2 1.710 * [backup-simplify]: Simplify 0 into 0 1.710 * [taylor]: Taking taylor expansion of 0 in R 1.710 * [backup-simplify]: Simplify 0 into 0 1.710 * [backup-simplify]: Simplify 0 into 0 1.711 * [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) 1.712 * [backup-simplify]: Simplify (* (exp (log (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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) 1.712 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 1.712 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in R 1.712 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R 1.712 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 1.712 * [taylor]: Taking taylor expansion of R in R 1.712 * [backup-simplify]: Simplify 0 into 0 1.712 * [backup-simplify]: Simplify 1 into 1 1.713 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 1) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 1.713 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda2 1.713 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 1.713 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 1.713 * [taylor]: Taking taylor expansion of R in lambda2 1.713 * [backup-simplify]: Simplify R into R 1.714 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) 1.714 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda1 1.714 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 1.714 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 1.715 * [taylor]: Taking taylor expansion of R in lambda1 1.715 * [backup-simplify]: Simplify R into R 1.715 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) 1.715 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi2 1.715 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 1.716 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 1.716 * [taylor]: Taking taylor expansion of R in phi2 1.716 * [backup-simplify]: Simplify R into R 1.716 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) 1.716 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi1 1.716 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 1.717 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 1.717 * [taylor]: Taking taylor expansion of R in phi1 1.717 * [backup-simplify]: Simplify R into R 1.717 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) 1.717 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi1 1.717 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 1.718 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 1.718 * [taylor]: Taking taylor expansion of R in phi1 1.718 * [backup-simplify]: Simplify R into R 1.718 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) 1.718 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi2 1.719 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 1.719 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 1.719 * [taylor]: Taking taylor expansion of R in phi2 1.719 * [backup-simplify]: Simplify R into R 1.720 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) 1.720 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda1 1.720 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 1.720 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 1.720 * [taylor]: Taking taylor expansion of R in lambda1 1.720 * [backup-simplify]: Simplify R into R 1.721 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) 1.721 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda2 1.721 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 1.721 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 1.721 * [taylor]: Taking taylor expansion of R in lambda2 1.721 * [backup-simplify]: Simplify R into R 1.722 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) 1.722 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in R 1.722 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R 1.722 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 1.722 * [taylor]: Taking taylor expansion of R in R 1.722 * [backup-simplify]: Simplify 0 into 0 1.722 * [backup-simplify]: Simplify 1 into 1 1.723 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 1) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 1.723 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 1.724 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0 1.724 * [taylor]: Taking taylor expansion of 0 in phi2 1.724 * [backup-simplify]: Simplify 0 into 0 1.724 * [taylor]: Taking taylor expansion of 0 in lambda1 1.724 * [backup-simplify]: Simplify 0 into 0 1.724 * [taylor]: Taking taylor expansion of 0 in lambda2 1.724 * [backup-simplify]: Simplify 0 into 0 1.724 * [taylor]: Taking taylor expansion of 0 in R 1.724 * [backup-simplify]: Simplify 0 into 0 1.725 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0 1.725 * [taylor]: Taking taylor expansion of 0 in lambda1 1.725 * [backup-simplify]: Simplify 0 into 0 1.725 * [taylor]: Taking taylor expansion of 0 in lambda2 1.725 * [backup-simplify]: Simplify 0 into 0 1.725 * [taylor]: Taking taylor expansion of 0 in R 1.725 * [backup-simplify]: Simplify 0 into 0 1.726 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0 1.726 * [taylor]: Taking taylor expansion of 0 in lambda2 1.726 * [backup-simplify]: Simplify 0 into 0 1.726 * [taylor]: Taking taylor expansion of 0 in R 1.726 * [backup-simplify]: Simplify 0 into 0 1.727 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0 1.727 * [taylor]: Taking taylor expansion of 0 in R 1.727 * [backup-simplify]: Simplify 0 into 0 1.728 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) (/ 0 1)))) into 0 1.728 * [backup-simplify]: Simplify 0 into 0 1.729 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 1.729 * [taylor]: Taking taylor expansion of 0 in phi2 1.729 * [backup-simplify]: Simplify 0 into 0 1.729 * [taylor]: Taking taylor expansion of 0 in lambda1 1.729 * [backup-simplify]: Simplify 0 into 0 1.729 * [taylor]: Taking taylor expansion of 0 in lambda2 1.729 * [backup-simplify]: Simplify 0 into 0 1.729 * [taylor]: Taking taylor expansion of 0 in R 1.729 * [backup-simplify]: Simplify 0 into 0 1.729 * [taylor]: Taking taylor expansion of 0 in lambda1 1.729 * [backup-simplify]: Simplify 0 into 0 1.729 * [taylor]: Taking taylor expansion of 0 in lambda2 1.729 * [backup-simplify]: Simplify 0 into 0 1.729 * [taylor]: Taking taylor expansion of 0 in R 1.729 * [backup-simplify]: Simplify 0 into 0 1.730 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 1.730 * [taylor]: Taking taylor expansion of 0 in lambda1 1.730 * [backup-simplify]: Simplify 0 into 0 1.730 * [taylor]: Taking taylor expansion of 0 in lambda2 1.730 * [backup-simplify]: Simplify 0 into 0 1.730 * [taylor]: Taking taylor expansion of 0 in R 1.730 * [backup-simplify]: Simplify 0 into 0 1.730 * [taylor]: Taking taylor expansion of 0 in lambda2 1.730 * [backup-simplify]: Simplify 0 into 0 1.730 * [taylor]: Taking taylor expansion of 0 in R 1.730 * [backup-simplify]: Simplify 0 into 0 1.730 * [taylor]: Taking taylor expansion of 0 in lambda2 1.730 * [backup-simplify]: Simplify 0 into 0 1.730 * [taylor]: Taking taylor expansion of 0 in R 1.730 * [backup-simplify]: Simplify 0 into 0 1.731 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 1.731 * [taylor]: Taking taylor expansion of 0 in lambda2 1.731 * [backup-simplify]: Simplify 0 into 0 1.731 * [taylor]: Taking taylor expansion of 0 in R 1.731 * [backup-simplify]: Simplify 0 into 0 1.731 * [taylor]: Taking taylor expansion of 0 in R 1.731 * [backup-simplify]: Simplify 0 into 0 1.731 * [taylor]: Taking taylor expansion of 0 in R 1.731 * [backup-simplify]: Simplify 0 into 0 1.731 * [taylor]: Taking taylor expansion of 0 in R 1.731 * [backup-simplify]: Simplify 0 into 0 1.732 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 1.732 * [taylor]: Taking taylor expansion of 0 in R 1.732 * [backup-simplify]: Simplify 0 into 0 1.732 * [backup-simplify]: Simplify 0 into 0 1.732 * [backup-simplify]: Simplify 0 into 0 1.732 * [backup-simplify]: Simplify 0 into 0 1.732 * [backup-simplify]: Simplify 0 into 0 1.733 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.733 * [backup-simplify]: Simplify 0 into 0 1.734 * [backup-simplify]: Simplify (* (acos (+ (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 phi1))) (cos (/ 1 (/ 1 lambda1)))))) (+ (* (sin (/ 1 (/ 1 phi1))) (sin (/ 1 (/ 1 phi2)))) (* (sin (/ 1 (/ 1 lambda1))) (* (sin (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi2))) (cos (/ 1 (/ 1 phi1))))))))) (* (/ 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) 1.735 * [backup-simplify]: Simplify (* (exp (log (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))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) 1.735 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 1.735 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R 1.735 * [taylor]: Taking taylor expansion of -1 in R 1.735 * [backup-simplify]: Simplify -1 into -1 1.735 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R 1.735 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R 1.736 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1.736 * [taylor]: Taking taylor expansion of R in R 1.736 * [backup-simplify]: Simplify 0 into 0 1.736 * [backup-simplify]: Simplify 1 into 1 1.736 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1.736 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2 1.736 * [taylor]: Taking taylor expansion of -1 in lambda2 1.736 * [backup-simplify]: Simplify -1 into -1 1.736 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2 1.736 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 1.737 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1.737 * [taylor]: Taking taylor expansion of R in lambda2 1.737 * [backup-simplify]: Simplify R into R 1.738 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) 1.738 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda1 1.738 * [taylor]: Taking taylor expansion of -1 in lambda1 1.738 * [backup-simplify]: Simplify -1 into -1 1.738 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1 1.738 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 1.738 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1.738 * [taylor]: Taking taylor expansion of R in lambda1 1.738 * [backup-simplify]: Simplify R into R 1.739 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) 1.739 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2 1.739 * [taylor]: Taking taylor expansion of -1 in phi2 1.739 * [backup-simplify]: Simplify -1 into -1 1.739 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2 1.739 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 1.740 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1.740 * [taylor]: Taking taylor expansion of R in phi2 1.740 * [backup-simplify]: Simplify R into R 1.740 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) 1.740 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi1 1.740 * [taylor]: Taking taylor expansion of -1 in phi1 1.740 * [backup-simplify]: Simplify -1 into -1 1.740 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1 1.740 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 1.741 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1.741 * [taylor]: Taking taylor expansion of R in phi1 1.741 * [backup-simplify]: Simplify R into R 1.741 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) 1.741 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi1 1.741 * [taylor]: Taking taylor expansion of -1 in phi1 1.741 * [backup-simplify]: Simplify -1 into -1 1.741 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1 1.741 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 1.742 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1.742 * [taylor]: Taking taylor expansion of R in phi1 1.742 * [backup-simplify]: Simplify R into R 1.742 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) 1.743 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) 1.743 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2 1.743 * [taylor]: Taking taylor expansion of -1 in phi2 1.743 * [backup-simplify]: Simplify -1 into -1 1.743 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2 1.743 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 1.744 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1.744 * [taylor]: Taking taylor expansion of R in phi2 1.744 * [backup-simplify]: Simplify R into R 1.744 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) 1.745 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) 1.745 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda1 1.745 * [taylor]: Taking taylor expansion of -1 in lambda1 1.745 * [backup-simplify]: Simplify -1 into -1 1.745 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1 1.745 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 1.745 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1.746 * [taylor]: Taking taylor expansion of R in lambda1 1.746 * [backup-simplify]: Simplify R into R 1.746 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) 1.747 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) 1.747 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2 1.747 * [taylor]: Taking taylor expansion of -1 in lambda2 1.747 * [backup-simplify]: Simplify -1 into -1 1.747 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2 1.747 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 1.747 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1.747 * [taylor]: Taking taylor expansion of R in lambda2 1.747 * [backup-simplify]: Simplify R into R 1.748 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) 1.748 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) 1.748 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R 1.748 * [taylor]: Taking taylor expansion of -1 in R 1.748 * [backup-simplify]: Simplify -1 into -1 1.748 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R 1.748 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R 1.749 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1.749 * [taylor]: Taking taylor expansion of R in R 1.749 * [backup-simplify]: Simplify 0 into 0 1.749 * [backup-simplify]: Simplify 1 into 1 1.750 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1.750 * [backup-simplify]: Simplify (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) into (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) 1.751 * [backup-simplify]: Simplify (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) into (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) 1.751 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) (/ 0 R)))) into 0 1.752 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R))) into 0 1.753 * [taylor]: Taking taylor expansion of 0 in phi2 1.753 * [backup-simplify]: Simplify 0 into 0 1.753 * [taylor]: Taking taylor expansion of 0 in lambda1 1.753 * [backup-simplify]: Simplify 0 into 0 1.753 * [taylor]: Taking taylor expansion of 0 in lambda2 1.753 * [backup-simplify]: Simplify 0 into 0 1.753 * [taylor]: Taking taylor expansion of 0 in R 1.753 * [backup-simplify]: Simplify 0 into 0 1.753 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) (/ 0 R)))) into 0 1.757 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R))) into 0 1.757 * [taylor]: Taking taylor expansion of 0 in lambda1 1.757 * [backup-simplify]: Simplify 0 into 0 1.757 * [taylor]: Taking taylor expansion of 0 in lambda2 1.757 * [backup-simplify]: Simplify 0 into 0 1.757 * [taylor]: Taking taylor expansion of 0 in R 1.757 * [backup-simplify]: Simplify 0 into 0 1.758 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) (/ 0 R)))) into 0 1.759 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R))) into 0 1.759 * [taylor]: Taking taylor expansion of 0 in lambda2 1.759 * [backup-simplify]: Simplify 0 into 0 1.759 * [taylor]: Taking taylor expansion of 0 in R 1.759 * [backup-simplify]: Simplify 0 into 0 1.760 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) (/ 0 R)))) into 0 1.761 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R))) into 0 1.761 * [taylor]: Taking taylor expansion of 0 in R 1.761 * [backup-simplify]: Simplify 0 into 0 1.762 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) (/ 0 1)))) into 0 1.763 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))))) into 0 1.763 * [backup-simplify]: Simplify 0 into 0 1.763 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 1.764 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)))) into 0 1.764 * [taylor]: Taking taylor expansion of 0 in phi2 1.764 * [backup-simplify]: Simplify 0 into 0 1.764 * [taylor]: Taking taylor expansion of 0 in lambda1 1.764 * [backup-simplify]: Simplify 0 into 0 1.764 * [taylor]: Taking taylor expansion of 0 in lambda2 1.764 * [backup-simplify]: Simplify 0 into 0 1.765 * [taylor]: Taking taylor expansion of 0 in R 1.765 * [backup-simplify]: Simplify 0 into 0 1.765 * [taylor]: Taking taylor expansion of 0 in lambda1 1.765 * [backup-simplify]: Simplify 0 into 0 1.765 * [taylor]: Taking taylor expansion of 0 in lambda2 1.765 * [backup-simplify]: Simplify 0 into 0 1.765 * [taylor]: Taking taylor expansion of 0 in R 1.765 * [backup-simplify]: Simplify 0 into 0 1.765 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 1.766 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)))) into 0 1.766 * [taylor]: Taking taylor expansion of 0 in lambda1 1.766 * [backup-simplify]: Simplify 0 into 0 1.766 * [taylor]: Taking taylor expansion of 0 in lambda2 1.766 * [backup-simplify]: Simplify 0 into 0 1.767 * [taylor]: Taking taylor expansion of 0 in R 1.767 * [backup-simplify]: Simplify 0 into 0 1.767 * [taylor]: Taking taylor expansion of 0 in lambda2 1.767 * [backup-simplify]: Simplify 0 into 0 1.767 * [taylor]: Taking taylor expansion of 0 in R 1.767 * [backup-simplify]: Simplify 0 into 0 1.767 * [taylor]: Taking taylor expansion of 0 in lambda2 1.767 * [backup-simplify]: Simplify 0 into 0 1.767 * [taylor]: Taking taylor expansion of 0 in R 1.767 * [backup-simplify]: Simplify 0 into 0 1.767 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 1.768 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)))) into 0 1.768 * [taylor]: Taking taylor expansion of 0 in lambda2 1.768 * [backup-simplify]: Simplify 0 into 0 1.768 * [taylor]: Taking taylor expansion of 0 in R 1.769 * [backup-simplify]: Simplify 0 into 0 1.769 * [taylor]: Taking taylor expansion of 0 in R 1.769 * [backup-simplify]: Simplify 0 into 0 1.769 * [taylor]: Taking taylor expansion of 0 in R 1.769 * [backup-simplify]: Simplify 0 into 0 1.769 * [taylor]: Taking taylor expansion of 0 in R 1.769 * [backup-simplify]: Simplify 0 into 0 1.769 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 1.770 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)))) into 0 1.770 * [taylor]: Taking taylor expansion of 0 in R 1.770 * [backup-simplify]: Simplify 0 into 0 1.770 * [backup-simplify]: Simplify 0 into 0 1.771 * [backup-simplify]: Simplify 0 into 0 1.771 * [backup-simplify]: Simplify 0 into 0 1.771 * [backup-simplify]: Simplify 0 into 0 1.772 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.773 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))))) into 0 1.773 * [backup-simplify]: Simplify 0 into 0 1.774 * [backup-simplify]: Simplify (* (* -1 (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2))))))) (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))))))) (* (/ 1 (/ 1 (- R))) (* 1 (* 1 (* 1 1))))) into (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R) 1.774 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.775 * [backup-simplify]: Simplify (exp (log (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))))))) 1.775 * [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 1.775 * [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 1.775 * [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))))))) 1.775 * [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 1.776 * [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))))))) 1.776 * [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 1.776 * [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))))))) 1.776 * [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 1.776 * [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))))))) 1.776 * [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 1.777 * [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))))))) 1.777 * [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 1.777 * [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))))))) 1.777 * [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 1.778 * [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))))))) 1.778 * [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 1.778 * [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))))))) 1.778 * [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))))))) 1.778 * [taylor]: Taking taylor expansion of 0 in phi2 1.778 * [backup-simplify]: Simplify 0 into 0 1.779 * [taylor]: Taking taylor expansion of 0 in lambda1 1.779 * [backup-simplify]: Simplify 0 into 0 1.779 * [taylor]: Taking taylor expansion of 0 in lambda2 1.779 * [backup-simplify]: Simplify 0 into 0 1.779 * [backup-simplify]: Simplify 0 into 0 1.779 * [taylor]: Taking taylor expansion of 0 in lambda1 1.779 * [backup-simplify]: Simplify 0 into 0 1.779 * [taylor]: Taking taylor expansion of 0 in lambda2 1.779 * [backup-simplify]: Simplify 0 into 0 1.779 * [backup-simplify]: Simplify 0 into 0 1.779 * [taylor]: Taking taylor expansion of 0 in lambda2 1.779 * [backup-simplify]: Simplify 0 into 0 1.779 * [backup-simplify]: Simplify 0 into 0 1.779 * [backup-simplify]: Simplify 0 into 0 1.779 * [taylor]: Taking taylor expansion of 0 in phi2 1.779 * [backup-simplify]: Simplify 0 into 0 1.779 * [taylor]: Taking taylor expansion of 0 in lambda1 1.779 * [backup-simplify]: Simplify 0 into 0 1.779 * [taylor]: Taking taylor expansion of 0 in lambda2 1.779 * [backup-simplify]: Simplify 0 into 0 1.779 * [backup-simplify]: Simplify 0 into 0 1.779 * [taylor]: Taking taylor expansion of 0 in lambda1 1.779 * [backup-simplify]: Simplify 0 into 0 1.779 * [taylor]: Taking taylor expansion of 0 in lambda2 1.779 * [backup-simplify]: Simplify 0 into 0 1.779 * [backup-simplify]: Simplify 0 into 0 1.779 * [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))))))) 1.780 * [backup-simplify]: Simplify (exp (log (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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 1.780 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.780 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 1.780 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 1.780 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 1.781 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 1.781 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 1.781 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 1.782 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 1.782 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 1.782 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 1.783 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 1.783 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 1.783 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 1.783 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 1.784 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 1.784 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 1.784 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 1.785 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 1.785 * [taylor]: Taking taylor expansion of 0 in phi2 1.785 * [backup-simplify]: Simplify 0 into 0 1.785 * [taylor]: Taking taylor expansion of 0 in lambda1 1.785 * [backup-simplify]: Simplify 0 into 0 1.785 * [taylor]: Taking taylor expansion of 0 in lambda2 1.785 * [backup-simplify]: Simplify 0 into 0 1.785 * [backup-simplify]: Simplify 0 into 0 1.785 * [taylor]: Taking taylor expansion of 0 in lambda1 1.785 * [backup-simplify]: Simplify 0 into 0 1.785 * [taylor]: Taking taylor expansion of 0 in lambda2 1.785 * [backup-simplify]: Simplify 0 into 0 1.785 * [backup-simplify]: Simplify 0 into 0 1.785 * [taylor]: Taking taylor expansion of 0 in lambda2 1.785 * [backup-simplify]: Simplify 0 into 0 1.785 * [backup-simplify]: Simplify 0 into 0 1.785 * [backup-simplify]: Simplify 0 into 0 1.785 * [taylor]: Taking taylor expansion of 0 in phi2 1.785 * [backup-simplify]: Simplify 0 into 0 1.785 * [taylor]: Taking taylor expansion of 0 in lambda1 1.785 * [backup-simplify]: Simplify 0 into 0 1.785 * [taylor]: Taking taylor expansion of 0 in lambda2 1.785 * [backup-simplify]: Simplify 0 into 0 1.785 * [backup-simplify]: Simplify 0 into 0 1.785 * [taylor]: Taking taylor expansion of 0 in lambda1 1.785 * [backup-simplify]: Simplify 0 into 0 1.785 * [taylor]: Taking taylor expansion of 0 in lambda2 1.785 * [backup-simplify]: Simplify 0 into 0 1.785 * [backup-simplify]: Simplify 0 into 0 1.786 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 phi1))) (cos (/ 1 (/ 1 lambda1)))))) (+ (* (sin (/ 1 (/ 1 phi1))) (sin (/ 1 (/ 1 phi2)))) (* (sin (/ 1 (/ 1 lambda1))) (* (sin (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi2))) (cos (/ 1 (/ 1 phi1))))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) 1.787 * [backup-simplify]: Simplify (exp (log (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))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1.787 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0 1.787 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 1.787 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1.787 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 1.788 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1.788 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 1.788 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1.788 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 1.789 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1.789 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 1.789 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1.789 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 1.790 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1.790 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 1.791 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1.791 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 1.791 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1.792 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1.792 * [taylor]: Taking taylor expansion of 0 in phi2 1.792 * [backup-simplify]: Simplify 0 into 0 1.792 * [taylor]: Taking taylor expansion of 0 in lambda1 1.792 * [backup-simplify]: Simplify 0 into 0 1.792 * [taylor]: Taking taylor expansion of 0 in lambda2 1.792 * [backup-simplify]: Simplify 0 into 0 1.792 * [backup-simplify]: Simplify 0 into 0 1.792 * [taylor]: Taking taylor expansion of 0 in lambda1 1.792 * [backup-simplify]: Simplify 0 into 0 1.792 * [taylor]: Taking taylor expansion of 0 in lambda2 1.792 * [backup-simplify]: Simplify 0 into 0 1.792 * [backup-simplify]: Simplify 0 into 0 1.792 * [taylor]: Taking taylor expansion of 0 in lambda2 1.792 * [backup-simplify]: Simplify 0 into 0 1.792 * [backup-simplify]: Simplify 0 into 0 1.792 * [backup-simplify]: Simplify 0 into 0 1.792 * [taylor]: Taking taylor expansion of 0 in phi2 1.792 * [backup-simplify]: Simplify 0 into 0 1.792 * [taylor]: Taking taylor expansion of 0 in lambda1 1.792 * [backup-simplify]: Simplify 0 into 0 1.792 * [taylor]: Taking taylor expansion of 0 in lambda2 1.792 * [backup-simplify]: Simplify 0 into 0 1.792 * [backup-simplify]: Simplify 0 into 0 1.792 * [taylor]: Taking taylor expansion of 0 in lambda1 1.792 * [backup-simplify]: Simplify 0 into 0 1.792 * [taylor]: Taking taylor expansion of 0 in lambda2 1.792 * [backup-simplify]: Simplify 0 into 0 1.792 * [backup-simplify]: Simplify 0 into 0 1.793 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2))))))) (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2)))))))) into (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 1.793 * * * [progress]: simplifying candidates 1.794 * [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))))))) (log (* (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))))))))) (log (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (log (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (log (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (log 1) (log (acos (+ (* (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))))))) (log (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (cbrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (log (acos (+ (* (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))))))) (log (acos (+ (* (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)))))))) (sqrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (exp (log (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 (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (exp (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (* (* (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (* (* R R) R)) (* (cbrt (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (cbrt (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))) (cbrt (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (* (* (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (sqrt (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (sqrt (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (* (exp (log (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt R)) (* (exp (log (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt R)) (* (sqrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt R)) (* (sqrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt R)) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (cbrt R) (cbrt R))) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt R)) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) 1) (* (exp (log (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R) (* (exp (log (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R) (* (cbrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R) (* (sqrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R) (exp 1) (exp (* (cbrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (exp (sqrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (exp 1) (exp (log (* (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)))))))))) (exp (log (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (exp (log (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (exp (log (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (exp (log 1)) (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (log (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (exp (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (* (cbrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (cbrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (* (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (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 lambda2))))))) (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) (log (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (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))))))) 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 lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R) (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 lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 1.795 * [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))))))) (log (* (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))))))))) (log (cbrt (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))))) (log (sqrt (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))))) (log (sqrt (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))))) (log 1) (log (acos (+ (* (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))))))) (log (log (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))))) (exp (log (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))))) (* (cbrt (log (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))))) (cbrt (log (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1))))))))) (cbrt (log (acos (+ (* (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))))))) (log (acos (+ (* (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)))))))) (sqrt (log (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))))) (sqrt (log (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))))) (* (exp (log (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 (* (exp (log (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))))) h5)) (exp (* (exp (log (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))))) h5)) (* (* (* (exp (log (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))))) (exp (log (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1))))))))) (exp (log (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1))))))))) (* (* h5 h5) h5)) (* (cbrt (* (exp (log (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))))) h5)) (cbrt (* (exp (log (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))))) h5))) (cbrt (* (exp (log (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))))) h5)) (* (* (* (exp (log (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))))) h5) (* (exp (log (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))))) h5)) (* (exp (log (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))))) h5)) (sqrt (* (exp (log (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))))) h5)) (sqrt (* (exp (log (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))))) h5)) (* (exp (log (sqrt (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1))))))))) (sqrt h5)) (* (exp (log (sqrt (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1))))))))) (sqrt h5)) (* (sqrt (exp (log (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1))))))))) (sqrt h5)) (* (sqrt (exp (log (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1))))))))) (sqrt h5)) (* (exp (log (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))))) (* (cbrt h5) (cbrt h5))) (* (exp (log (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))))) (sqrt h5)) (* (exp (log (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))))) 1) (* (exp (log (cbrt (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1))))))))) h5) (* (exp (log (sqrt (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1))))))))) h5) (* (exp (log (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))))) h5) (* (cbrt (exp (log (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1))))))))) h5) (* (sqrt (exp (log (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1))))))))) h5) (* (exp (log (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))))) h5) (exp 1) (exp (* (cbrt (log (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))))) (cbrt (log (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))))))) (exp (sqrt (log (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1))))))))) (exp 1) (exp (log (* (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)))))))))) (exp (log (cbrt (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1))))))))) (exp (log (sqrt (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1))))))))) (exp (log (sqrt (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1))))))))) (exp (log 1)) (exp (log (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))))) (log (exp (log (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1))))))))) (exp (exp (log (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1))))))))) (* (cbrt (exp (log (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1))))))))) (cbrt (exp (log (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))))))) (cbrt (exp (log (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1))))))))) (* (* (exp (log (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))))) (exp (log (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1))))))))) (exp (log (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1))))))))) (sqrt (exp (log (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1))))))))) (sqrt (exp (log (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (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 h1))))))) (acos (+ (* (sin h2) (* (cos h4) (* (cos h3) (sin h1)))) (+ (* (cos h2) (* (cos h4) (* (cos h3) (cos h1)))) (* (sin h4) (sin h3))))) (log (acos (+ (* (sin h4) (sin h3)) (+ (* (cos h2) (* (cos h4) (* (cos h3) (cos h1)))) (* (sin h2) (* (cos h4) (* (cos h3) (sin h1)))))))) (log (acos (+ (* (sin h4) (sin h3)) (+ (* (cos h2) (* (cos h4) (* (cos h3) (cos h1)))) (* (sin h2) (* (cos h4) (* (cos h3) (sin h1)))))))) (log (acos (+ (* (sin h2) (* (cos h4) (* (cos h3) (sin h1)))) (+ (* (cos h2) (* (cos h4) (* (cos h3) (cos h1)))) (* (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))))))) 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 h2) (* (cos h4) (* (cos h3) (sin h1)))) (+ (* (cos h2) (* (cos h4) (* (cos h3) (cos h1)))) (* (sin h4) (sin h3))))) h5) (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 h2) (* (cos h4) (* (cos h3) (sin h1)))) (+ (* (cos h2) (* (cos h4) (* (cos h3) (cos h1)))) (* (sin h4) (sin h3))))) 1.800 * * [simplify]: iteration 0 : 174 enodes (cost 1588 ) 1.803 * * [simplify]: iteration 1 : 395 enodes (cost 1344 ) 1.810 * * [simplify]: iteration 2 : 818 enodes (cost 1299 ) 1.820 * * [simplify]: iteration 3 : 1216 enodes (cost 1293 ) 1.837 * * [simplify]: iteration 4 : 2853 enodes (cost 1293 ) 1.945 * * [simplify]: iteration 5 : 5001 enodes (cost 1293 ) 1.949 * * * [progress]: adding candidates to table 2.250 * * [progress]: iteration 4 / 4 2.250 * * * [progress]: picking best candidate 2.356 * * * * [pick]: Picked # 2.356 * * * [progress]: localizing error 2.392 * * * [progress]: generating rewritten candidates 2.392 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2 2) 2.396 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 2.398 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 2 2 1) 2.406 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 2.417 * * * [progress]: generating series expansions 2.417 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2 2) 2.417 * [backup-simplify]: Simplify (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)) into (* (sin lambda1) (sin lambda2)) 2.417 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0 2.417 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 2.417 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 2.417 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.417 * [backup-simplify]: Simplify lambda1 into lambda1 2.417 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 2.417 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 2.417 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 2.417 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.417 * [backup-simplify]: Simplify 0 into 0 2.417 * [backup-simplify]: Simplify 1 into 1 2.417 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 2.417 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 2.417 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.417 * [backup-simplify]: Simplify 0 into 0 2.417 * [backup-simplify]: Simplify 1 into 1 2.417 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 2.417 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.417 * [backup-simplify]: Simplify lambda2 into lambda2 2.417 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 2.417 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 2.418 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 2.418 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 2.418 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.418 * [backup-simplify]: Simplify 0 into 0 2.418 * [backup-simplify]: Simplify 1 into 1 2.418 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 2.418 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.418 * [backup-simplify]: Simplify lambda2 into lambda2 2.418 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 2.418 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 2.418 * [backup-simplify]: Simplify (* (sin lambda2) 1) into (sin lambda2) 2.418 * [backup-simplify]: Simplify (* (cos lambda2) 0) into 0 2.418 * [backup-simplify]: Simplify (+ (sin lambda2) 0) into (sin lambda2) 2.418 * [backup-simplify]: Simplify (* 0 (sin lambda2)) into 0 2.418 * [taylor]: Taking taylor expansion of 0 in lambda2 2.418 * [backup-simplify]: Simplify 0 into 0 2.418 * [backup-simplify]: Simplify 0 into 0 2.418 * [backup-simplify]: Simplify (+ 0) into 0 2.419 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (* 0 1)) into 0 2.419 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.420 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (* 0 0)) into 0 2.420 * [backup-simplify]: Simplify (+ 0 0) into 0 2.420 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 2.420 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin lambda2))) into (sin lambda2) 2.420 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 2.420 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.420 * [backup-simplify]: Simplify 0 into 0 2.420 * [backup-simplify]: Simplify 1 into 1 2.421 * [backup-simplify]: Simplify 0 into 0 2.421 * [backup-simplify]: Simplify 0 into 0 2.421 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.421 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (* 0 1))) into 0 2.422 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.422 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (* 0 0))) into 0 2.422 * [backup-simplify]: Simplify (+ 0 0) into 0 2.423 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.423 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin lambda2)))) into 0 2.423 * [taylor]: Taking taylor expansion of 0 in lambda2 2.423 * [backup-simplify]: Simplify 0 into 0 2.423 * [backup-simplify]: Simplify 0 into 0 2.424 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 2.424 * [backup-simplify]: Simplify 1 into 1 2.424 * [backup-simplify]: Simplify 0 into 0 2.424 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.425 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.426 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.426 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.426 * [backup-simplify]: Simplify (+ 0 0) into 0 2.427 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 2.428 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin lambda2))))) into (- (* 1/6 (sin lambda2))) 2.428 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin lambda2))) in lambda2 2.428 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2 2.428 * [taylor]: Taking taylor expansion of 1/6 in lambda2 2.428 * [backup-simplify]: Simplify 1/6 into 1/6 2.428 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 2.428 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.428 * [backup-simplify]: Simplify 0 into 0 2.428 * [backup-simplify]: Simplify 1 into 1 2.428 * [backup-simplify]: Simplify (* 1/6 0) into 0 2.428 * [backup-simplify]: Simplify (- 0) into 0 2.428 * [backup-simplify]: Simplify 0 into 0 2.428 * [backup-simplify]: Simplify 0 into 0 2.429 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.429 * [backup-simplify]: Simplify 0 into 0 2.429 * [backup-simplify]: Simplify 0 into 0 2.430 * [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 2.430 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.431 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 2.432 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 2.432 * [backup-simplify]: Simplify (+ 0 0) into 0 2.433 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 2.433 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin lambda2)))))) into 0 2.433 * [taylor]: Taking taylor expansion of 0 in lambda2 2.434 * [backup-simplify]: Simplify 0 into 0 2.434 * [backup-simplify]: Simplify 0 into 0 2.434 * [backup-simplify]: Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1) 2.434 * [backup-simplify]: Simplify (cbrt (pow (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) 3)) into (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) 2.434 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in (lambda1 lambda2) around 0 2.434 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 2.434 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 2.434 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 2.434 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.434 * [backup-simplify]: Simplify lambda1 into lambda1 2.434 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 2.434 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 2.434 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 2.434 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 2.434 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 2.434 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.434 * [backup-simplify]: Simplify 0 into 0 2.434 * [backup-simplify]: Simplify 1 into 1 2.434 * [backup-simplify]: Simplify (/ 1 1) into 1 2.434 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 2.434 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 2.434 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 2.434 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 2.434 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.434 * [backup-simplify]: Simplify 0 into 0 2.434 * [backup-simplify]: Simplify 1 into 1 2.435 * [backup-simplify]: Simplify (/ 1 1) into 1 2.435 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 2.435 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 2.435 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 2.435 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.435 * [backup-simplify]: Simplify lambda2 into lambda2 2.435 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 2.435 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 2.435 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 2.435 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 2.435 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 2.435 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 2.435 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.435 * [backup-simplify]: Simplify 0 into 0 2.435 * [backup-simplify]: Simplify 1 into 1 2.435 * [backup-simplify]: Simplify (/ 1 1) into 1 2.435 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 2.435 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 2.435 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 2.435 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.435 * [backup-simplify]: Simplify lambda2 into lambda2 2.435 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 2.435 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 2.436 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 2.436 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) 1) into (sin (/ 1 lambda2)) 2.436 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) 0) into 0 2.436 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda2)) 0) into (sin (/ 1 lambda2)) 2.436 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) into (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) 2.436 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 2.436 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 2.436 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 2.436 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.436 * [backup-simplify]: Simplify lambda1 into lambda1 2.436 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 2.436 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 2.436 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 2.436 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 2.436 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 2.436 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.436 * [backup-simplify]: Simplify 0 into 0 2.436 * [backup-simplify]: Simplify 1 into 1 2.436 * [backup-simplify]: Simplify (/ 1 1) into 1 2.436 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 2.436 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) 1) into (sin (/ 1 lambda1)) 2.436 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) 0) into 0 2.437 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda1)) 0) into (sin (/ 1 lambda1)) 2.437 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) into (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) 2.437 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) into (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) 2.437 * [backup-simplify]: Simplify (+ 0) into 0 2.437 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 1)) into 0 2.437 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 2.438 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.438 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 0)) into 0 2.438 * [backup-simplify]: Simplify (+ 0 0) into 0 2.438 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 (sin (/ 1 lambda2)))) into 0 2.438 * [taylor]: Taking taylor expansion of 0 in lambda2 2.438 * [backup-simplify]: Simplify 0 into 0 2.439 * [backup-simplify]: Simplify 0 into 0 2.439 * [backup-simplify]: Simplify (+ 0) into 0 2.439 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 1)) into 0 2.439 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0 2.440 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.440 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 0)) into 0 2.440 * [backup-simplify]: Simplify (+ 0 0) into 0 2.440 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 (sin (/ 1 lambda2)))) into 0 2.440 * [backup-simplify]: Simplify 0 into 0 2.441 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.441 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 2.441 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 2.442 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.442 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 2.442 * [backup-simplify]: Simplify (+ 0 0) into 0 2.442 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda2))))) into 0 2.442 * [taylor]: Taking taylor expansion of 0 in lambda2 2.442 * [backup-simplify]: Simplify 0 into 0 2.442 * [backup-simplify]: Simplify 0 into 0 2.443 * [backup-simplify]: Simplify 0 into 0 2.443 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.443 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 2.444 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 2.444 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.444 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 2.444 * [backup-simplify]: Simplify (+ 0 0) into 0 2.445 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda2))))) into 0 2.445 * [backup-simplify]: Simplify 0 into 0 2.445 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.446 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.446 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 2.447 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.447 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.447 * [backup-simplify]: Simplify (+ 0 0) into 0 2.448 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda2)))))) into 0 2.448 * [taylor]: Taking taylor expansion of 0 in lambda2 2.448 * [backup-simplify]: Simplify 0 into 0 2.448 * [backup-simplify]: Simplify 0 into 0 2.448 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 lambda1))) (sin (/ 1 (/ 1 lambda2)))) into (* (sin lambda1) (sin lambda2)) 2.448 * [backup-simplify]: Simplify (cbrt (pow (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) 3)) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 2.448 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0 2.449 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 2.449 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 2.449 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 2.449 * [taylor]: Taking taylor expansion of -1 in lambda2 2.449 * [backup-simplify]: Simplify -1 into -1 2.449 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.449 * [backup-simplify]: Simplify lambda1 into lambda1 2.449 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 2.449 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 2.449 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 2.449 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 2.449 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 2.449 * [taylor]: Taking taylor expansion of -1 in lambda2 2.449 * [backup-simplify]: Simplify -1 into -1 2.449 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.449 * [backup-simplify]: Simplify 0 into 0 2.449 * [backup-simplify]: Simplify 1 into 1 2.449 * [backup-simplify]: Simplify (/ -1 1) into -1 2.449 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 2.449 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 2.449 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 2.449 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 2.449 * [taylor]: Taking taylor expansion of -1 in lambda1 2.449 * [backup-simplify]: Simplify -1 into -1 2.449 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.449 * [backup-simplify]: Simplify 0 into 0 2.449 * [backup-simplify]: Simplify 1 into 1 2.450 * [backup-simplify]: Simplify (/ -1 1) into -1 2.450 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 2.450 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 2.450 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 2.450 * [taylor]: Taking taylor expansion of -1 in lambda1 2.450 * [backup-simplify]: Simplify -1 into -1 2.450 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.450 * [backup-simplify]: Simplify lambda2 into lambda2 2.450 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 2.450 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 2.450 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 2.450 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 2.450 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 2.450 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 2.450 * [taylor]: Taking taylor expansion of -1 in lambda1 2.450 * [backup-simplify]: Simplify -1 into -1 2.450 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.450 * [backup-simplify]: Simplify 0 into 0 2.450 * [backup-simplify]: Simplify 1 into 1 2.450 * [backup-simplify]: Simplify (/ -1 1) into -1 2.450 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 2.450 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 2.450 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 2.450 * [taylor]: Taking taylor expansion of -1 in lambda1 2.450 * [backup-simplify]: Simplify -1 into -1 2.450 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.450 * [backup-simplify]: Simplify lambda2 into lambda2 2.450 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 2.450 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 2.451 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 2.451 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) 1) into (sin (/ -1 lambda2)) 2.451 * [backup-simplify]: Simplify (* (cos (/ -1 lambda2)) 0) into 0 2.451 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda2)) 0) into (sin (/ -1 lambda2)) 2.451 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 2.451 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 2.451 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 2.451 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 2.451 * [taylor]: Taking taylor expansion of -1 in lambda2 2.451 * [backup-simplify]: Simplify -1 into -1 2.451 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.451 * [backup-simplify]: Simplify lambda1 into lambda1 2.451 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 2.451 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 2.451 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 2.451 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 2.451 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 2.451 * [taylor]: Taking taylor expansion of -1 in lambda2 2.451 * [backup-simplify]: Simplify -1 into -1 2.451 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.451 * [backup-simplify]: Simplify 0 into 0 2.451 * [backup-simplify]: Simplify 1 into 1 2.451 * [backup-simplify]: Simplify (/ -1 1) into -1 2.451 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 2.452 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) 1) into (sin (/ -1 lambda1)) 2.452 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) 0) into 0 2.452 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda1)) 0) into (sin (/ -1 lambda1)) 2.452 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 2.452 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 2.452 * [backup-simplify]: Simplify (+ 0) into 0 2.452 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 1)) into 0 2.452 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)))) into 0 2.453 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.453 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 0)) into 0 2.453 * [backup-simplify]: Simplify (+ 0 0) into 0 2.454 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 2.454 * [taylor]: Taking taylor expansion of 0 in lambda2 2.454 * [backup-simplify]: Simplify 0 into 0 2.454 * [backup-simplify]: Simplify 0 into 0 2.454 * [backup-simplify]: Simplify (+ 0) into 0 2.454 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 1)) into 0 2.454 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)))) into 0 2.455 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.455 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 0)) into 0 2.455 * [backup-simplify]: Simplify (+ 0 0) into 0 2.455 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 2.455 * [backup-simplify]: Simplify 0 into 0 2.456 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.456 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 2.456 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 2.457 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.457 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 2.457 * [backup-simplify]: Simplify (+ 0 0) into 0 2.458 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 2.458 * [taylor]: Taking taylor expansion of 0 in lambda2 2.458 * [backup-simplify]: Simplify 0 into 0 2.458 * [backup-simplify]: Simplify 0 into 0 2.458 * [backup-simplify]: Simplify 0 into 0 2.458 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.458 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 2.459 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 2.459 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.459 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 2.460 * [backup-simplify]: Simplify (+ 0 0) into 0 2.460 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 2.460 * [backup-simplify]: Simplify 0 into 0 2.460 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.461 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.461 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 2.462 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.462 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.462 * [backup-simplify]: Simplify (+ 0 0) into 0 2.463 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2)))))) into 0 2.463 * [taylor]: Taking taylor expansion of 0 in lambda2 2.463 * [backup-simplify]: Simplify 0 into 0 2.463 * [backup-simplify]: Simplify 0 into 0 2.463 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- lambda1)))) (sin (/ -1 (/ 1 (- lambda2))))) into (* (sin lambda1) (sin lambda2)) 2.463 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 2.464 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) 2.464 * [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 2.464 * [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 2.464 * [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))))))) 2.464 * [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 2.464 * [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))))))) 2.465 * [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 2.465 * [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))))))) 2.465 * [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 2.465 * [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))))))) 2.465 * [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 2.466 * [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))))))) 2.466 * [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 2.466 * [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))))))) 2.466 * [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 2.466 * [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))))))) 2.467 * [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 2.467 * [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))))))) 2.467 * [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))))))) 2.467 * [taylor]: Taking taylor expansion of 0 in phi2 2.467 * [backup-simplify]: Simplify 0 into 0 2.467 * [taylor]: Taking taylor expansion of 0 in lambda1 2.467 * [backup-simplify]: Simplify 0 into 0 2.467 * [taylor]: Taking taylor expansion of 0 in lambda2 2.467 * [backup-simplify]: Simplify 0 into 0 2.467 * [backup-simplify]: Simplify 0 into 0 2.467 * [taylor]: Taking taylor expansion of 0 in lambda1 2.467 * [backup-simplify]: Simplify 0 into 0 2.467 * [taylor]: Taking taylor expansion of 0 in lambda2 2.468 * [backup-simplify]: Simplify 0 into 0 2.468 * [backup-simplify]: Simplify 0 into 0 2.468 * [taylor]: Taking taylor expansion of 0 in lambda2 2.468 * [backup-simplify]: Simplify 0 into 0 2.468 * [backup-simplify]: Simplify 0 into 0 2.468 * [backup-simplify]: Simplify 0 into 0 2.468 * [taylor]: Taking taylor expansion of 0 in phi2 2.468 * [backup-simplify]: Simplify 0 into 0 2.468 * [taylor]: Taking taylor expansion of 0 in lambda1 2.468 * [backup-simplify]: Simplify 0 into 0 2.468 * [taylor]: Taking taylor expansion of 0 in lambda2 2.468 * [backup-simplify]: Simplify 0 into 0 2.468 * [backup-simplify]: Simplify 0 into 0 2.468 * [taylor]: Taking taylor expansion of 0 in lambda1 2.468 * [backup-simplify]: Simplify 0 into 0 2.468 * [taylor]: Taking taylor expansion of 0 in lambda2 2.468 * [backup-simplify]: Simplify 0 into 0 2.468 * [backup-simplify]: Simplify 0 into 0 2.468 * [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))))))) 2.469 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (cbrt (pow (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) 3)))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 2.469 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.469 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 2.469 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 2.469 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 2.470 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 2.470 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 2.470 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 2.470 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 2.471 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 2.471 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 2.471 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 2.471 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 2.472 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 2.472 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 2.472 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 2.472 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 2.473 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 2.473 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 2.474 * [taylor]: Taking taylor expansion of 0 in phi2 2.474 * [backup-simplify]: Simplify 0 into 0 2.474 * [taylor]: Taking taylor expansion of 0 in lambda1 2.474 * [backup-simplify]: Simplify 0 into 0 2.474 * [taylor]: Taking taylor expansion of 0 in lambda2 2.474 * [backup-simplify]: Simplify 0 into 0 2.474 * [backup-simplify]: Simplify 0 into 0 2.474 * [taylor]: Taking taylor expansion of 0 in lambda1 2.474 * [backup-simplify]: Simplify 0 into 0 2.474 * [taylor]: Taking taylor expansion of 0 in lambda2 2.474 * [backup-simplify]: Simplify 0 into 0 2.474 * [backup-simplify]: Simplify 0 into 0 2.474 * [taylor]: Taking taylor expansion of 0 in lambda2 2.474 * [backup-simplify]: Simplify 0 into 0 2.474 * [backup-simplify]: Simplify 0 into 0 2.474 * [backup-simplify]: Simplify 0 into 0 2.474 * [taylor]: Taking taylor expansion of 0 in phi2 2.474 * [backup-simplify]: Simplify 0 into 0 2.474 * [taylor]: Taking taylor expansion of 0 in lambda1 2.474 * [backup-simplify]: Simplify 0 into 0 2.474 * [taylor]: Taking taylor expansion of 0 in lambda2 2.474 * [backup-simplify]: Simplify 0 into 0 2.474 * [backup-simplify]: Simplify 0 into 0 2.474 * [taylor]: Taking taylor expansion of 0 in lambda1 2.474 * [backup-simplify]: Simplify 0 into 0 2.474 * [taylor]: Taking taylor expansion of 0 in lambda2 2.474 * [backup-simplify]: Simplify 0 into 0 2.474 * [backup-simplify]: Simplify 0 into 0 2.475 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 phi1))) (cos (/ 1 (/ 1 lambda1)))))) (+ (* (sin (/ 1 (/ 1 phi1))) (sin (/ 1 (/ 1 phi2)))) (* (sin (/ 1 (/ 1 lambda1))) (* (sin (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi2))) (cos (/ 1 (/ 1 phi1))))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) 2.475 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (cbrt (pow (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) 3)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 2.475 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0 2.475 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 2.476 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 2.476 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 2.476 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 2.476 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 2.477 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 2.477 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 2.477 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 2.477 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 2.478 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 2.478 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 2.479 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 2.479 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 2.479 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 2.479 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 2.480 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 2.480 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 2.480 * [taylor]: Taking taylor expansion of 0 in phi2 2.480 * [backup-simplify]: Simplify 0 into 0 2.480 * [taylor]: Taking taylor expansion of 0 in lambda1 2.480 * [backup-simplify]: Simplify 0 into 0 2.480 * [taylor]: Taking taylor expansion of 0 in lambda2 2.480 * [backup-simplify]: Simplify 0 into 0 2.480 * [backup-simplify]: Simplify 0 into 0 2.480 * [taylor]: Taking taylor expansion of 0 in lambda1 2.480 * [backup-simplify]: Simplify 0 into 0 2.480 * [taylor]: Taking taylor expansion of 0 in lambda2 2.480 * [backup-simplify]: Simplify 0 into 0 2.480 * [backup-simplify]: Simplify 0 into 0 2.480 * [taylor]: Taking taylor expansion of 0 in lambda2 2.480 * [backup-simplify]: Simplify 0 into 0 2.480 * [backup-simplify]: Simplify 0 into 0 2.480 * [backup-simplify]: Simplify 0 into 0 2.481 * [taylor]: Taking taylor expansion of 0 in phi2 2.481 * [backup-simplify]: Simplify 0 into 0 2.481 * [taylor]: Taking taylor expansion of 0 in lambda1 2.481 * [backup-simplify]: Simplify 0 into 0 2.481 * [taylor]: Taking taylor expansion of 0 in lambda2 2.481 * [backup-simplify]: Simplify 0 into 0 2.481 * [backup-simplify]: Simplify 0 into 0 2.481 * [taylor]: Taking taylor expansion of 0 in lambda1 2.481 * [backup-simplify]: Simplify 0 into 0 2.481 * [taylor]: Taking taylor expansion of 0 in lambda2 2.481 * [backup-simplify]: Simplify 0 into 0 2.481 * [backup-simplify]: Simplify 0 into 0 2.481 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2))))))) (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2)))))))) into (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 2.481 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 2 2 1) 2.482 * [backup-simplify]: Simplify (pow (* (sin lambda1) (sin lambda2)) 3) into (pow (* (sin lambda1) (sin lambda2)) 3) 2.482 * [approximate]: Taking taylor expansion of (pow (* (sin lambda1) (sin lambda2)) 3) in (lambda1 lambda2) around 0 2.482 * [taylor]: Taking taylor expansion of (pow (* (sin lambda1) (sin lambda2)) 3) in lambda2 2.482 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 2.482 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 2.482 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.482 * [backup-simplify]: Simplify lambda1 into lambda1 2.482 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 2.482 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 2.482 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 2.482 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.482 * [backup-simplify]: Simplify 0 into 0 2.482 * [backup-simplify]: Simplify 1 into 1 2.482 * [backup-simplify]: Simplify (* (sin lambda1) 1) into (sin lambda1) 2.482 * [backup-simplify]: Simplify (* (cos lambda1) 0) into 0 2.482 * [backup-simplify]: Simplify (+ (sin lambda1) 0) into (sin lambda1) 2.482 * [backup-simplify]: Simplify (* (sin lambda1) 0) into 0 2.482 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 2.483 * [backup-simplify]: Simplify (+ 0) into 0 2.483 * [backup-simplify]: Simplify (+ (* (sin lambda1) 0) (* 0 1)) into 0 2.483 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.484 * [backup-simplify]: Simplify (+ (* (cos lambda1) 0) (* 0 0)) into 0 2.484 * [backup-simplify]: Simplify (+ 0 0) into 0 2.484 * [backup-simplify]: Simplify (+ (* (sin lambda1) 1) (* 0 0)) into (sin lambda1) 2.484 * [taylor]: Taking taylor expansion of (pow (* (sin lambda1) (sin lambda2)) 3) in lambda1 2.484 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 2.484 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 2.484 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.484 * [backup-simplify]: Simplify 0 into 0 2.484 * [backup-simplify]: Simplify 1 into 1 2.484 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 2.484 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.484 * [backup-simplify]: Simplify lambda2 into lambda2 2.484 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 2.484 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 2.484 * [backup-simplify]: Simplify (* (sin lambda2) 1) into (sin lambda2) 2.485 * [backup-simplify]: Simplify (* (cos lambda2) 0) into 0 2.485 * [backup-simplify]: Simplify (+ (sin lambda2) 0) into (sin lambda2) 2.485 * [backup-simplify]: Simplify (* 0 (sin lambda2)) into 0 2.485 * [backup-simplify]: Simplify (+ 0) into 0 2.485 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (* 0 1)) into 0 2.486 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.486 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (* 0 0)) into 0 2.486 * [backup-simplify]: Simplify (+ 0 0) into 0 2.486 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 2.487 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin lambda2))) into (sin lambda2) 2.487 * [taylor]: Taking taylor expansion of (pow (* (sin lambda1) (sin lambda2)) 3) in lambda1 2.487 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 2.487 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 2.487 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.487 * [backup-simplify]: Simplify 0 into 0 2.487 * [backup-simplify]: Simplify 1 into 1 2.487 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 2.487 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.487 * [backup-simplify]: Simplify lambda2 into lambda2 2.487 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 2.487 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 2.487 * [backup-simplify]: Simplify (* (sin lambda2) 1) into (sin lambda2) 2.487 * [backup-simplify]: Simplify (* (cos lambda2) 0) into 0 2.487 * [backup-simplify]: Simplify (+ (sin lambda2) 0) into (sin lambda2) 2.487 * [backup-simplify]: Simplify (* 0 (sin lambda2)) into 0 2.487 * [backup-simplify]: Simplify (+ 0) into 0 2.488 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (* 0 1)) into 0 2.488 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.488 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (* 0 0)) into 0 2.488 * [backup-simplify]: Simplify (+ 0 0) into 0 2.489 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 2.489 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin lambda2))) into (sin lambda2) 2.489 * [backup-simplify]: Simplify (* (sin lambda2) (sin lambda2)) into (pow (sin lambda2) 2) 2.489 * [backup-simplify]: Simplify (* (sin lambda2) (pow (sin lambda2) 2)) into (pow (sin lambda2) 3) 2.489 * [taylor]: Taking taylor expansion of (pow (sin lambda2) 3) in lambda2 2.489 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 2.489 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.489 * [backup-simplify]: Simplify 0 into 0 2.489 * [backup-simplify]: Simplify 1 into 1 2.490 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 2.490 * [backup-simplify]: Simplify (* 1 1) into 1 2.490 * [backup-simplify]: Simplify (* 1 1) into 1 2.490 * [backup-simplify]: Simplify 1 into 1 2.491 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.491 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (* 0 1))) into 0 2.492 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.492 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (* 0 0))) into 0 2.492 * [backup-simplify]: Simplify (+ 0 0) into 0 2.492 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.493 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin lambda2)))) into 0 2.493 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (* 0 (sin lambda2))) into 0 2.493 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (* 0 (pow (sin lambda2) 2))) into 0 2.493 * [taylor]: Taking taylor expansion of 0 in lambda2 2.493 * [backup-simplify]: Simplify 0 into 0 2.493 * [backup-simplify]: Simplify 0 into 0 2.494 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.494 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.494 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.494 * [backup-simplify]: Simplify 0 into 0 2.495 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.495 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.496 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.497 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.497 * [backup-simplify]: Simplify (+ 0 0) into 0 2.498 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 2.498 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin lambda2))))) into (- (* 1/6 (sin lambda2))) 2.499 * [backup-simplify]: Simplify (+ (* (sin lambda2) (- (* 1/6 (sin lambda2)))) (+ (* 0 0) (* (- (* 1/6 (sin lambda2))) (sin lambda2)))) into (- (* 1/3 (pow (sin lambda2) 2))) 2.499 * [backup-simplify]: Simplify (+ (* (sin lambda2) (- (* 1/3 (pow (sin lambda2) 2)))) (+ (* 0 0) (* (- (* 1/6 (sin lambda2))) (pow (sin lambda2) 2)))) into (- (* 1/2 (pow (sin lambda2) 3))) 2.499 * [taylor]: Taking taylor expansion of (- (* 1/2 (pow (sin lambda2) 3))) in lambda2 2.499 * [taylor]: Taking taylor expansion of (* 1/2 (pow (sin lambda2) 3)) in lambda2 2.499 * [taylor]: Taking taylor expansion of 1/2 in lambda2 2.500 * [backup-simplify]: Simplify 1/2 into 1/2 2.500 * [taylor]: Taking taylor expansion of (pow (sin lambda2) 3) in lambda2 2.500 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 2.500 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.500 * [backup-simplify]: Simplify 0 into 0 2.500 * [backup-simplify]: Simplify 1 into 1 2.500 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 2.500 * [backup-simplify]: Simplify (* 1 1) into 1 2.500 * [backup-simplify]: Simplify (* 1 1) into 1 2.501 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 2.501 * [backup-simplify]: Simplify (- 1/2) into -1/2 2.501 * [backup-simplify]: Simplify -1/2 into -1/2 2.501 * [backup-simplify]: Simplify 0 into 0 2.502 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 2.502 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3 2.507 * [backup-simplify]: Simplify (+ (* 1 -1/3) (+ (* 0 0) (* -1/6 1))) into -1/2 2.507 * [backup-simplify]: Simplify -1/2 into -1/2 2.507 * [backup-simplify]: Simplify (+ (* -1/2 (* (pow lambda2 5) (pow lambda1 3))) (+ (* -1/2 (* (pow lambda2 3) (pow lambda1 5))) (* 1 (pow (* lambda2 lambda1) 3)))) into (- (* (pow lambda2 3) (pow lambda1 3)) (+ (* 1/2 (* (pow lambda2 5) (pow lambda1 3))) (* 1/2 (* (pow lambda2 3) (pow lambda1 5))))) 2.507 * [backup-simplify]: Simplify (pow (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) 3) into (pow (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) 3) 2.507 * [approximate]: Taking taylor expansion of (pow (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) 3) in (lambda1 lambda2) around 0 2.507 * [taylor]: Taking taylor expansion of (pow (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) 3) in lambda2 2.508 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 2.508 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 2.508 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 2.508 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.508 * [backup-simplify]: Simplify lambda1 into lambda1 2.508 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 2.508 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 2.508 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 2.508 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 2.508 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 2.508 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.508 * [backup-simplify]: Simplify 0 into 0 2.508 * [backup-simplify]: Simplify 1 into 1 2.508 * [backup-simplify]: Simplify (/ 1 1) into 1 2.508 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 2.508 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) 1) into (sin (/ 1 lambda1)) 2.508 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) 0) into 0 2.508 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda1)) 0) into (sin (/ 1 lambda1)) 2.508 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) into (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) 2.508 * [taylor]: Taking taylor expansion of (pow (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) 3) in lambda1 2.508 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 2.508 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 2.508 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 2.508 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.509 * [backup-simplify]: Simplify 0 into 0 2.509 * [backup-simplify]: Simplify 1 into 1 2.509 * [backup-simplify]: Simplify (/ 1 1) into 1 2.509 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 2.509 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 2.509 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 2.509 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.509 * [backup-simplify]: Simplify lambda2 into lambda2 2.509 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 2.509 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 2.509 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 2.509 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) 1) into (sin (/ 1 lambda2)) 2.509 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) 0) into 0 2.509 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda2)) 0) into (sin (/ 1 lambda2)) 2.509 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) into (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) 2.509 * [taylor]: Taking taylor expansion of (pow (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) 3) in lambda1 2.509 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 2.509 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 2.509 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 2.509 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.509 * [backup-simplify]: Simplify 0 into 0 2.509 * [backup-simplify]: Simplify 1 into 1 2.510 * [backup-simplify]: Simplify (/ 1 1) into 1 2.510 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 2.510 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 2.510 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 2.510 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.510 * [backup-simplify]: Simplify lambda2 into lambda2 2.510 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 2.510 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 2.510 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 2.510 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) 1) into (sin (/ 1 lambda2)) 2.510 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) 0) into 0 2.510 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda2)) 0) into (sin (/ 1 lambda2)) 2.510 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) into (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) 2.510 * [backup-simplify]: Simplify (* (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) into (* (pow (sin (/ 1 lambda1)) 2) (pow (sin (/ 1 lambda2)) 2)) 2.511 * [backup-simplify]: Simplify (* (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (pow (sin (/ 1 lambda1)) 2) (pow (sin (/ 1 lambda2)) 2))) into (* (pow (sin (/ 1 lambda1)) 3) (pow (sin (/ 1 lambda2)) 3)) 2.511 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 lambda1)) 3) (pow (sin (/ 1 lambda2)) 3)) in lambda2 2.511 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 lambda1)) 3) in lambda2 2.511 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 2.511 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 2.511 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.511 * [backup-simplify]: Simplify lambda1 into lambda1 2.511 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 2.511 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 2.511 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 2.511 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) 1) into (sin (/ 1 lambda1)) 2.511 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) 0) into 0 2.511 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda1)) 0) into (sin (/ 1 lambda1)) 2.511 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 lambda2)) 3) in lambda2 2.511 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 2.511 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 2.511 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.511 * [backup-simplify]: Simplify 0 into 0 2.511 * [backup-simplify]: Simplify 1 into 1 2.511 * [backup-simplify]: Simplify (/ 1 1) into 1 2.511 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 2.511 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) (sin (/ 1 lambda1))) into (pow (sin (/ 1 lambda1)) 2) 2.512 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) (pow (sin (/ 1 lambda1)) 2)) into (pow (sin (/ 1 lambda1)) 3) 2.512 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda2))) into (pow (sin (/ 1 lambda2)) 2) 2.512 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (pow (sin (/ 1 lambda2)) 2)) into (pow (sin (/ 1 lambda2)) 3) 2.512 * [backup-simplify]: Simplify (* (pow (sin (/ 1 lambda1)) 3) (pow (sin (/ 1 lambda2)) 3)) into (* (pow (sin (/ 1 lambda1)) 3) (pow (sin (/ 1 lambda2)) 3)) 2.512 * [backup-simplify]: Simplify (* (pow (sin (/ 1 lambda1)) 3) (pow (sin (/ 1 lambda2)) 3)) into (* (pow (sin (/ 1 lambda1)) 3) (pow (sin (/ 1 lambda2)) 3)) 2.512 * [backup-simplify]: Simplify (+ 0) into 0 2.513 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 1)) into 0 2.513 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 2.513 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.514 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 0)) into 0 2.514 * [backup-simplify]: Simplify (+ 0 0) into 0 2.514 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 (sin (/ 1 lambda2)))) into 0 2.514 * [backup-simplify]: Simplify (+ (* (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) 0) (* 0 (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))) into 0 2.514 * [backup-simplify]: Simplify (+ (* (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) 0) (* 0 (* (pow (sin (/ 1 lambda1)) 2) (pow (sin (/ 1 lambda2)) 2)))) into 0 2.514 * [taylor]: Taking taylor expansion of 0 in lambda2 2.514 * [backup-simplify]: Simplify 0 into 0 2.514 * [backup-simplify]: Simplify 0 into 0 2.515 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda2)))) into 0 2.515 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (pow (sin (/ 1 lambda2)) 2))) into 0 2.515 * [backup-simplify]: Simplify (+ 0) into 0 2.515 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 1)) into 0 2.515 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0 2.516 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.516 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 0)) into 0 2.516 * [backup-simplify]: Simplify (+ 0 0) into 0 2.516 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 (sin (/ 1 lambda1)))) into 0 2.516 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 (pow (sin (/ 1 lambda1)) 2))) into 0 2.517 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 lambda1)) 3) 0) (* 0 (pow (sin (/ 1 lambda2)) 3))) into 0 2.517 * [backup-simplify]: Simplify 0 into 0 2.517 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.518 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 2.518 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 2.518 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.518 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 2.519 * [backup-simplify]: Simplify (+ 0 0) into 0 2.519 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda2))))) into 0 2.519 * [backup-simplify]: Simplify (+ (* (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) 0) (+ (* 0 0) (* 0 (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))))) into 0 2.520 * [backup-simplify]: Simplify (+ (* (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) 0) (+ (* 0 0) (* 0 (* (pow (sin (/ 1 lambda1)) 2) (pow (sin (/ 1 lambda2)) 2))))) into 0 2.520 * [taylor]: Taking taylor expansion of 0 in lambda2 2.520 * [backup-simplify]: Simplify 0 into 0 2.520 * [backup-simplify]: Simplify 0 into 0 2.520 * [backup-simplify]: Simplify 0 into 0 2.520 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda2))))) into 0 2.521 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (pow (sin (/ 1 lambda2)) 2)))) into 0 2.521 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.522 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 2.522 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 2.522 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.523 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 2.523 * [backup-simplify]: Simplify (+ 0 0) into 0 2.523 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0 2.523 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 (pow (sin (/ 1 lambda1)) 2)))) into 0 2.524 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 lambda1)) 3) 0) (+ (* 0 0) (* 0 (pow (sin (/ 1 lambda2)) 3)))) into 0 2.524 * [backup-simplify]: Simplify 0 into 0 2.524 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.525 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.525 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 2.526 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.526 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.526 * [backup-simplify]: Simplify (+ 0 0) into 0 2.527 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda2)))))) into 0 2.527 * [backup-simplify]: Simplify (+ (* (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) into 0 2.528 * [backup-simplify]: Simplify (+ (* (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow (sin (/ 1 lambda1)) 2) (pow (sin (/ 1 lambda2)) 2)))))) into 0 2.528 * [taylor]: Taking taylor expansion of 0 in lambda2 2.528 * [backup-simplify]: Simplify 0 into 0 2.528 * [backup-simplify]: Simplify 0 into 0 2.528 * [backup-simplify]: Simplify (* (pow (sin (/ 1 (/ 1 lambda1))) 3) (pow (sin (/ 1 (/ 1 lambda2))) 3)) into (* (pow (sin lambda1) 3) (pow (sin lambda2) 3)) 2.529 * [backup-simplify]: Simplify (pow (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) 3) into (pow (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 3) 2.529 * [approximate]: Taking taylor expansion of (pow (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 3) in (lambda1 lambda2) around 0 2.529 * [taylor]: Taking taylor expansion of (pow (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 3) in lambda2 2.529 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 2.529 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 2.529 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 2.529 * [taylor]: Taking taylor expansion of -1 in lambda2 2.529 * [backup-simplify]: Simplify -1 into -1 2.529 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.529 * [backup-simplify]: Simplify lambda1 into lambda1 2.529 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 2.529 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 2.529 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 2.529 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 2.529 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 2.529 * [taylor]: Taking taylor expansion of -1 in lambda2 2.529 * [backup-simplify]: Simplify -1 into -1 2.529 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.529 * [backup-simplify]: Simplify 0 into 0 2.529 * [backup-simplify]: Simplify 1 into 1 2.529 * [backup-simplify]: Simplify (/ -1 1) into -1 2.529 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 2.529 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) 1) into (sin (/ -1 lambda1)) 2.530 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) 0) into 0 2.530 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda1)) 0) into (sin (/ -1 lambda1)) 2.530 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 2.530 * [taylor]: Taking taylor expansion of (pow (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 3) in lambda1 2.530 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 2.530 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 2.530 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 2.530 * [taylor]: Taking taylor expansion of -1 in lambda1 2.530 * [backup-simplify]: Simplify -1 into -1 2.530 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.530 * [backup-simplify]: Simplify 0 into 0 2.530 * [backup-simplify]: Simplify 1 into 1 2.530 * [backup-simplify]: Simplify (/ -1 1) into -1 2.530 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 2.530 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 2.530 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 2.530 * [taylor]: Taking taylor expansion of -1 in lambda1 2.530 * [backup-simplify]: Simplify -1 into -1 2.530 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.530 * [backup-simplify]: Simplify lambda2 into lambda2 2.530 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 2.530 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 2.530 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 2.530 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) 1) into (sin (/ -1 lambda2)) 2.530 * [backup-simplify]: Simplify (* (cos (/ -1 lambda2)) 0) into 0 2.531 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda2)) 0) into (sin (/ -1 lambda2)) 2.531 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 2.531 * [taylor]: Taking taylor expansion of (pow (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 3) in lambda1 2.531 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 2.531 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 2.531 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 2.531 * [taylor]: Taking taylor expansion of -1 in lambda1 2.531 * [backup-simplify]: Simplify -1 into -1 2.531 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.531 * [backup-simplify]: Simplify 0 into 0 2.531 * [backup-simplify]: Simplify 1 into 1 2.531 * [backup-simplify]: Simplify (/ -1 1) into -1 2.531 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 2.531 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 2.531 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 2.531 * [taylor]: Taking taylor expansion of -1 in lambda1 2.531 * [backup-simplify]: Simplify -1 into -1 2.531 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.531 * [backup-simplify]: Simplify lambda2 into lambda2 2.531 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 2.531 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 2.531 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 2.531 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) 1) into (sin (/ -1 lambda2)) 2.531 * [backup-simplify]: Simplify (* (cos (/ -1 lambda2)) 0) into 0 2.531 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda2)) 0) into (sin (/ -1 lambda2)) 2.532 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 2.532 * [backup-simplify]: Simplify (* (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) into (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2)) 2.532 * [backup-simplify]: Simplify (* (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2))) into (* (pow (sin (/ -1 lambda1)) 3) (pow (sin (/ -1 lambda2)) 3)) 2.532 * [taylor]: Taking taylor expansion of (* (pow (sin (/ -1 lambda1)) 3) (pow (sin (/ -1 lambda2)) 3)) in lambda2 2.532 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 lambda1)) 3) in lambda2 2.532 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 2.532 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 2.532 * [taylor]: Taking taylor expansion of -1 in lambda2 2.532 * [backup-simplify]: Simplify -1 into -1 2.532 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.532 * [backup-simplify]: Simplify lambda1 into lambda1 2.532 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 2.532 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 2.532 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 2.532 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) 1) into (sin (/ -1 lambda1)) 2.532 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) 0) into 0 2.532 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda1)) 0) into (sin (/ -1 lambda1)) 2.533 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 lambda2)) 3) in lambda2 2.533 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 2.533 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 2.533 * [taylor]: Taking taylor expansion of -1 in lambda2 2.533 * [backup-simplify]: Simplify -1 into -1 2.533 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.533 * [backup-simplify]: Simplify 0 into 0 2.533 * [backup-simplify]: Simplify 1 into 1 2.533 * [backup-simplify]: Simplify (/ -1 1) into -1 2.533 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 2.533 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda1))) into (pow (sin (/ -1 lambda1)) 2) 2.533 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (pow (sin (/ -1 lambda1)) 2)) into (pow (sin (/ -1 lambda1)) 3) 2.533 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) (sin (/ -1 lambda2))) into (pow (sin (/ -1 lambda2)) 2) 2.533 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) (pow (sin (/ -1 lambda2)) 2)) into (pow (sin (/ -1 lambda2)) 3) 2.534 * [backup-simplify]: Simplify (* (pow (sin (/ -1 lambda1)) 3) (pow (sin (/ -1 lambda2)) 3)) into (* (pow (sin (/ -1 lambda1)) 3) (pow (sin (/ -1 lambda2)) 3)) 2.534 * [backup-simplify]: Simplify (* (pow (sin (/ -1 lambda1)) 3) (pow (sin (/ -1 lambda2)) 3)) into (* (pow (sin (/ -1 lambda1)) 3) (pow (sin (/ -1 lambda2)) 3)) 2.534 * [backup-simplify]: Simplify (+ 0) into 0 2.534 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 1)) into 0 2.534 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)))) into 0 2.535 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.535 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 0)) into 0 2.535 * [backup-simplify]: Simplify (+ 0 0) into 0 2.536 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 2.536 * [backup-simplify]: Simplify (+ (* (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 0) (* 0 (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) into 0 2.536 * [backup-simplify]: Simplify (+ (* (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 0) (* 0 (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2)))) into 0 2.536 * [taylor]: Taking taylor expansion of 0 in lambda2 2.536 * [backup-simplify]: Simplify 0 into 0 2.536 * [backup-simplify]: Simplify 0 into 0 2.536 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 2.536 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 (pow (sin (/ -1 lambda2)) 2))) into 0 2.537 * [backup-simplify]: Simplify (+ 0) into 0 2.537 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 1)) into 0 2.537 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)))) into 0 2.537 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.538 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 0)) into 0 2.538 * [backup-simplify]: Simplify (+ 0 0) into 0 2.538 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda1)))) into 0 2.538 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (pow (sin (/ -1 lambda1)) 2))) into 0 2.538 * [backup-simplify]: Simplify (+ (* (pow (sin (/ -1 lambda1)) 3) 0) (* 0 (pow (sin (/ -1 lambda2)) 3))) into 0 2.538 * [backup-simplify]: Simplify 0 into 0 2.539 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.539 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 2.540 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 2.540 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.540 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 2.541 * [backup-simplify]: Simplify (+ 0 0) into 0 2.541 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 2.541 * [backup-simplify]: Simplify (+ (* (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 0) (+ (* 0 0) (* 0 (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) into 0 2.542 * [backup-simplify]: Simplify (+ (* (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 0) (+ (* 0 0) (* 0 (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2))))) into 0 2.542 * [taylor]: Taking taylor expansion of 0 in lambda2 2.542 * [backup-simplify]: Simplify 0 into 0 2.542 * [backup-simplify]: Simplify 0 into 0 2.542 * [backup-simplify]: Simplify 0 into 0 2.542 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 2.543 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 lambda2)) 2)))) into 0 2.543 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.544 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 2.544 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 2.544 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.544 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 2.545 * [backup-simplify]: Simplify (+ 0 0) into 0 2.545 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda1))))) into 0 2.545 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 lambda1)) 2)))) into 0 2.546 * [backup-simplify]: Simplify (+ (* (pow (sin (/ -1 lambda1)) 3) 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 lambda2)) 3)))) into 0 2.546 * [backup-simplify]: Simplify 0 into 0 2.546 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.547 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.547 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 2.548 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.549 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.549 * [backup-simplify]: Simplify (+ 0 0) into 0 2.549 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2)))))) into 0 2.550 * [backup-simplify]: Simplify (+ (* (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) into 0 2.551 * [backup-simplify]: Simplify (+ (* (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2)))))) into 0 2.551 * [taylor]: Taking taylor expansion of 0 in lambda2 2.551 * [backup-simplify]: Simplify 0 into 0 2.551 * [backup-simplify]: Simplify 0 into 0 2.551 * [backup-simplify]: Simplify (* (pow (sin (/ -1 (/ 1 (- lambda1)))) 3) (pow (sin (/ -1 (/ 1 (- lambda2)))) 3)) into (* (pow (sin lambda1) 3) (pow (sin lambda2) 3)) 2.551 * * * * [progress]: [ 4 / 4 ] generating series at (2) 2.552 * [backup-simplify]: Simplify (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) R) into (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) 2.552 * [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 2.552 * [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 2.552 * [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 2.552 * [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))))))) 2.552 * [taylor]: Taking taylor expansion of R in R 2.552 * [backup-simplify]: Simplify 0 into 0 2.552 * [backup-simplify]: Simplify 1 into 1 2.552 * [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 2.552 * [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 2.552 * [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))))))) 2.552 * [taylor]: Taking taylor expansion of R in lambda2 2.552 * [backup-simplify]: Simplify R into R 2.553 * [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 2.553 * [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 2.553 * [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))))))) 2.553 * [taylor]: Taking taylor expansion of R in lambda1 2.553 * [backup-simplify]: Simplify R into R 2.553 * [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 2.553 * [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 2.553 * [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))))))) 2.553 * [taylor]: Taking taylor expansion of R in phi2 2.553 * [backup-simplify]: Simplify R into R 2.553 * [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 2.553 * [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 2.554 * [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))))))) 2.554 * [taylor]: Taking taylor expansion of R in phi1 2.554 * [backup-simplify]: Simplify R into R 2.554 * [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 2.554 * [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 2.554 * [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))))))) 2.554 * [taylor]: Taking taylor expansion of R in phi1 2.554 * [backup-simplify]: Simplify R into R 2.555 * [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) 2.555 * [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 2.555 * [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 2.555 * [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))))))) 2.555 * [taylor]: Taking taylor expansion of R in phi2 2.555 * [backup-simplify]: Simplify R into R 2.556 * [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) 2.556 * [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 2.556 * [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 2.556 * [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))))))) 2.556 * [taylor]: Taking taylor expansion of R in lambda1 2.556 * [backup-simplify]: Simplify R into R 2.556 * [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) 2.556 * [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 2.556 * [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 2.557 * [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))))))) 2.557 * [taylor]: Taking taylor expansion of R in lambda2 2.557 * [backup-simplify]: Simplify R into R 2.557 * [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) 2.557 * [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 2.557 * [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 2.558 * [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))))))) 2.558 * [taylor]: Taking taylor expansion of R in R 2.558 * [backup-simplify]: Simplify 0 into 0 2.558 * [backup-simplify]: Simplify 1 into 1 2.558 * [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 2.558 * [backup-simplify]: Simplify 0 into 0 2.559 * [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 2.559 * [taylor]: Taking taylor expansion of 0 in phi2 2.559 * [backup-simplify]: Simplify 0 into 0 2.559 * [taylor]: Taking taylor expansion of 0 in lambda1 2.559 * [backup-simplify]: Simplify 0 into 0 2.559 * [taylor]: Taking taylor expansion of 0 in lambda2 2.559 * [backup-simplify]: Simplify 0 into 0 2.559 * [taylor]: Taking taylor expansion of 0 in R 2.559 * [backup-simplify]: Simplify 0 into 0 2.559 * [backup-simplify]: Simplify 0 into 0 2.559 * [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 2.559 * [taylor]: Taking taylor expansion of 0 in lambda1 2.559 * [backup-simplify]: Simplify 0 into 0 2.559 * [taylor]: Taking taylor expansion of 0 in lambda2 2.559 * [backup-simplify]: Simplify 0 into 0 2.559 * [taylor]: Taking taylor expansion of 0 in R 2.559 * [backup-simplify]: Simplify 0 into 0 2.559 * [backup-simplify]: Simplify 0 into 0 2.560 * [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 2.560 * [taylor]: Taking taylor expansion of 0 in lambda2 2.560 * [backup-simplify]: Simplify 0 into 0 2.560 * [taylor]: Taking taylor expansion of 0 in R 2.560 * [backup-simplify]: Simplify 0 into 0 2.560 * [backup-simplify]: Simplify 0 into 0 2.560 * [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 2.560 * [taylor]: Taking taylor expansion of 0 in R 2.560 * [backup-simplify]: Simplify 0 into 0 2.560 * [backup-simplify]: Simplify 0 into 0 2.561 * [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))))))) 2.561 * [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))))))) 2.562 * [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 2.562 * [taylor]: Taking taylor expansion of 0 in phi2 2.562 * [backup-simplify]: Simplify 0 into 0 2.562 * [taylor]: Taking taylor expansion of 0 in lambda1 2.562 * [backup-simplify]: Simplify 0 into 0 2.562 * [taylor]: Taking taylor expansion of 0 in lambda2 2.562 * [backup-simplify]: Simplify 0 into 0 2.562 * [taylor]: Taking taylor expansion of 0 in R 2.562 * [backup-simplify]: Simplify 0 into 0 2.562 * [backup-simplify]: Simplify 0 into 0 2.562 * [taylor]: Taking taylor expansion of 0 in lambda1 2.562 * [backup-simplify]: Simplify 0 into 0 2.562 * [taylor]: Taking taylor expansion of 0 in lambda2 2.562 * [backup-simplify]: Simplify 0 into 0 2.562 * [taylor]: Taking taylor expansion of 0 in R 2.562 * [backup-simplify]: Simplify 0 into 0 2.562 * [backup-simplify]: Simplify 0 into 0 2.563 * [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 2.563 * [taylor]: Taking taylor expansion of 0 in lambda1 2.563 * [backup-simplify]: Simplify 0 into 0 2.563 * [taylor]: Taking taylor expansion of 0 in lambda2 2.563 * [backup-simplify]: Simplify 0 into 0 2.563 * [taylor]: Taking taylor expansion of 0 in R 2.563 * [backup-simplify]: Simplify 0 into 0 2.563 * [backup-simplify]: Simplify 0 into 0 2.563 * [taylor]: Taking taylor expansion of 0 in lambda2 2.563 * [backup-simplify]: Simplify 0 into 0 2.563 * [taylor]: Taking taylor expansion of 0 in R 2.563 * [backup-simplify]: Simplify 0 into 0 2.563 * [backup-simplify]: Simplify 0 into 0 2.563 * [taylor]: Taking taylor expansion of 0 in lambda2 2.563 * [backup-simplify]: Simplify 0 into 0 2.563 * [taylor]: Taking taylor expansion of 0 in R 2.563 * [backup-simplify]: Simplify 0 into 0 2.563 * [backup-simplify]: Simplify 0 into 0 2.564 * [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 2.564 * [taylor]: Taking taylor expansion of 0 in lambda2 2.564 * [backup-simplify]: Simplify 0 into 0 2.564 * [taylor]: Taking taylor expansion of 0 in R 2.564 * [backup-simplify]: Simplify 0 into 0 2.564 * [backup-simplify]: Simplify 0 into 0 2.565 * [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) 2.566 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (cbrt (pow (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) 3)))))) (/ 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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) 2.566 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 2.566 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in R 2.566 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R 2.566 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 2.566 * [taylor]: Taking taylor expansion of R in R 2.566 * [backup-simplify]: Simplify 0 into 0 2.566 * [backup-simplify]: Simplify 1 into 1 2.567 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 1) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 2.567 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda2 2.567 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 2.567 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 2.567 * [taylor]: Taking taylor expansion of R in lambda2 2.567 * [backup-simplify]: Simplify R into R 2.568 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) 2.568 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda1 2.568 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 2.568 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 2.569 * [taylor]: Taking taylor expansion of R in lambda1 2.569 * [backup-simplify]: Simplify R into R 2.569 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) 2.569 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi2 2.569 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 2.570 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 2.570 * [taylor]: Taking taylor expansion of R in phi2 2.570 * [backup-simplify]: Simplify R into R 2.570 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) 2.570 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi1 2.570 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 2.571 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 2.571 * [taylor]: Taking taylor expansion of R in phi1 2.571 * [backup-simplify]: Simplify R into R 2.571 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) 2.571 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi1 2.571 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 2.572 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 2.572 * [taylor]: Taking taylor expansion of R in phi1 2.572 * [backup-simplify]: Simplify R into R 2.572 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) 2.572 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi2 2.572 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 2.573 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 2.573 * [taylor]: Taking taylor expansion of R in phi2 2.573 * [backup-simplify]: Simplify R into R 2.574 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) 2.574 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda1 2.574 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 2.574 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 2.574 * [taylor]: Taking taylor expansion of R in lambda1 2.574 * [backup-simplify]: Simplify R into R 2.575 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) 2.575 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda2 2.575 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 2.575 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 2.575 * [taylor]: Taking taylor expansion of R in lambda2 2.575 * [backup-simplify]: Simplify R into R 2.576 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) 2.576 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in R 2.576 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R 2.576 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 2.577 * [taylor]: Taking taylor expansion of R in R 2.577 * [backup-simplify]: Simplify 0 into 0 2.577 * [backup-simplify]: Simplify 1 into 1 2.577 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 1) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 2.578 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 2.578 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0 2.578 * [taylor]: Taking taylor expansion of 0 in phi2 2.578 * [backup-simplify]: Simplify 0 into 0 2.578 * [taylor]: Taking taylor expansion of 0 in lambda1 2.578 * [backup-simplify]: Simplify 0 into 0 2.579 * [taylor]: Taking taylor expansion of 0 in lambda2 2.579 * [backup-simplify]: Simplify 0 into 0 2.579 * [taylor]: Taking taylor expansion of 0 in R 2.579 * [backup-simplify]: Simplify 0 into 0 2.579 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0 2.579 * [taylor]: Taking taylor expansion of 0 in lambda1 2.579 * [backup-simplify]: Simplify 0 into 0 2.579 * [taylor]: Taking taylor expansion of 0 in lambda2 2.579 * [backup-simplify]: Simplify 0 into 0 2.579 * [taylor]: Taking taylor expansion of 0 in R 2.579 * [backup-simplify]: Simplify 0 into 0 2.580 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0 2.580 * [taylor]: Taking taylor expansion of 0 in lambda2 2.580 * [backup-simplify]: Simplify 0 into 0 2.580 * [taylor]: Taking taylor expansion of 0 in R 2.580 * [backup-simplify]: Simplify 0 into 0 2.581 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0 2.581 * [taylor]: Taking taylor expansion of 0 in R 2.581 * [backup-simplify]: Simplify 0 into 0 2.582 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) (/ 0 1)))) into 0 2.582 * [backup-simplify]: Simplify 0 into 0 2.583 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 2.583 * [taylor]: Taking taylor expansion of 0 in phi2 2.583 * [backup-simplify]: Simplify 0 into 0 2.583 * [taylor]: Taking taylor expansion of 0 in lambda1 2.583 * [backup-simplify]: Simplify 0 into 0 2.583 * [taylor]: Taking taylor expansion of 0 in lambda2 2.583 * [backup-simplify]: Simplify 0 into 0 2.583 * [taylor]: Taking taylor expansion of 0 in R 2.583 * [backup-simplify]: Simplify 0 into 0 2.583 * [taylor]: Taking taylor expansion of 0 in lambda1 2.583 * [backup-simplify]: Simplify 0 into 0 2.583 * [taylor]: Taking taylor expansion of 0 in lambda2 2.583 * [backup-simplify]: Simplify 0 into 0 2.583 * [taylor]: Taking taylor expansion of 0 in R 2.583 * [backup-simplify]: Simplify 0 into 0 2.584 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 2.584 * [taylor]: Taking taylor expansion of 0 in lambda1 2.584 * [backup-simplify]: Simplify 0 into 0 2.584 * [taylor]: Taking taylor expansion of 0 in lambda2 2.584 * [backup-simplify]: Simplify 0 into 0 2.584 * [taylor]: Taking taylor expansion of 0 in R 2.584 * [backup-simplify]: Simplify 0 into 0 2.584 * [taylor]: Taking taylor expansion of 0 in lambda2 2.584 * [backup-simplify]: Simplify 0 into 0 2.584 * [taylor]: Taking taylor expansion of 0 in R 2.584 * [backup-simplify]: Simplify 0 into 0 2.584 * [taylor]: Taking taylor expansion of 0 in lambda2 2.584 * [backup-simplify]: Simplify 0 into 0 2.584 * [taylor]: Taking taylor expansion of 0 in R 2.584 * [backup-simplify]: Simplify 0 into 0 2.585 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 2.585 * [taylor]: Taking taylor expansion of 0 in lambda2 2.585 * [backup-simplify]: Simplify 0 into 0 2.585 * [taylor]: Taking taylor expansion of 0 in R 2.585 * [backup-simplify]: Simplify 0 into 0 2.585 * [taylor]: Taking taylor expansion of 0 in R 2.585 * [backup-simplify]: Simplify 0 into 0 2.585 * [taylor]: Taking taylor expansion of 0 in R 2.585 * [backup-simplify]: Simplify 0 into 0 2.585 * [taylor]: Taking taylor expansion of 0 in R 2.585 * [backup-simplify]: Simplify 0 into 0 2.585 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 2.585 * [taylor]: Taking taylor expansion of 0 in R 2.585 * [backup-simplify]: Simplify 0 into 0 2.586 * [backup-simplify]: Simplify 0 into 0 2.586 * [backup-simplify]: Simplify 0 into 0 2.586 * [backup-simplify]: Simplify 0 into 0 2.586 * [backup-simplify]: Simplify 0 into 0 2.587 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.587 * [backup-simplify]: Simplify 0 into 0 2.588 * [backup-simplify]: Simplify (* (acos (+ (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 phi1))) (cos (/ 1 (/ 1 lambda1)))))) (+ (* (sin (/ 1 (/ 1 phi1))) (sin (/ 1 (/ 1 phi2)))) (* (sin (/ 1 (/ 1 lambda1))) (* (sin (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi2))) (cos (/ 1 (/ 1 phi1))))))))) (* (/ 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) 2.589 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (cbrt (pow (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) 3)))))) (/ 1 (- R))) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) 2.589 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 2.589 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R 2.589 * [taylor]: Taking taylor expansion of -1 in R 2.589 * [backup-simplify]: Simplify -1 into -1 2.589 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R 2.589 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R 2.590 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 2.590 * [taylor]: Taking taylor expansion of R in R 2.590 * [backup-simplify]: Simplify 0 into 0 2.590 * [backup-simplify]: Simplify 1 into 1 2.590 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 2.590 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2 2.590 * [taylor]: Taking taylor expansion of -1 in lambda2 2.590 * [backup-simplify]: Simplify -1 into -1 2.590 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2 2.590 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 2.591 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 2.591 * [taylor]: Taking taylor expansion of R in lambda2 2.591 * [backup-simplify]: Simplify R into R 2.591 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) 2.591 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda1 2.591 * [taylor]: Taking taylor expansion of -1 in lambda1 2.591 * [backup-simplify]: Simplify -1 into -1 2.591 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1 2.592 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 2.592 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 2.592 * [taylor]: Taking taylor expansion of R in lambda1 2.592 * [backup-simplify]: Simplify R into R 2.593 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) 2.593 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2 2.593 * [taylor]: Taking taylor expansion of -1 in phi2 2.593 * [backup-simplify]: Simplify -1 into -1 2.593 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2 2.593 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 2.593 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 2.593 * [taylor]: Taking taylor expansion of R in phi2 2.593 * [backup-simplify]: Simplify R into R 2.594 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) 2.594 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi1 2.594 * [taylor]: Taking taylor expansion of -1 in phi1 2.594 * [backup-simplify]: Simplify -1 into -1 2.594 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1 2.594 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 2.594 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 2.594 * [taylor]: Taking taylor expansion of R in phi1 2.594 * [backup-simplify]: Simplify R into R 2.595 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) 2.595 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi1 2.595 * [taylor]: Taking taylor expansion of -1 in phi1 2.595 * [backup-simplify]: Simplify -1 into -1 2.595 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1 2.595 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 2.596 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 2.596 * [taylor]: Taking taylor expansion of R in phi1 2.596 * [backup-simplify]: Simplify R into R 2.596 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) 2.597 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) 2.597 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2 2.597 * [taylor]: Taking taylor expansion of -1 in phi2 2.597 * [backup-simplify]: Simplify -1 into -1 2.597 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2 2.597 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 2.601 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 2.601 * [taylor]: Taking taylor expansion of R in phi2 2.601 * [backup-simplify]: Simplify R into R 2.602 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) 2.602 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) 2.603 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda1 2.603 * [taylor]: Taking taylor expansion of -1 in lambda1 2.603 * [backup-simplify]: Simplify -1 into -1 2.603 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1 2.603 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 2.603 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 2.603 * [taylor]: Taking taylor expansion of R in lambda1 2.603 * [backup-simplify]: Simplify R into R 2.604 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) 2.604 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) 2.604 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2 2.604 * [taylor]: Taking taylor expansion of -1 in lambda2 2.604 * [backup-simplify]: Simplify -1 into -1 2.604 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2 2.604 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 2.605 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 2.605 * [taylor]: Taking taylor expansion of R in lambda2 2.605 * [backup-simplify]: Simplify R into R 2.606 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) 2.606 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) 2.606 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R 2.606 * [taylor]: Taking taylor expansion of -1 in R 2.606 * [backup-simplify]: Simplify -1 into -1 2.606 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R 2.606 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R 2.607 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 2.607 * [taylor]: Taking taylor expansion of R in R 2.607 * [backup-simplify]: Simplify 0 into 0 2.607 * [backup-simplify]: Simplify 1 into 1 2.607 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 2.608 * [backup-simplify]: Simplify (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) into (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) 2.608 * [backup-simplify]: Simplify (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) into (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) 2.609 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) (/ 0 R)))) into 0 2.610 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R))) into 0 2.610 * [taylor]: Taking taylor expansion of 0 in phi2 2.611 * [backup-simplify]: Simplify 0 into 0 2.611 * [taylor]: Taking taylor expansion of 0 in lambda1 2.611 * [backup-simplify]: Simplify 0 into 0 2.611 * [taylor]: Taking taylor expansion of 0 in lambda2 2.611 * [backup-simplify]: Simplify 0 into 0 2.611 * [taylor]: Taking taylor expansion of 0 in R 2.611 * [backup-simplify]: Simplify 0 into 0 2.611 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) (/ 0 R)))) into 0 2.612 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R))) into 0 2.612 * [taylor]: Taking taylor expansion of 0 in lambda1 2.612 * [backup-simplify]: Simplify 0 into 0 2.612 * [taylor]: Taking taylor expansion of 0 in lambda2 2.612 * [backup-simplify]: Simplify 0 into 0 2.612 * [taylor]: Taking taylor expansion of 0 in R 2.612 * [backup-simplify]: Simplify 0 into 0 2.613 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) (/ 0 R)))) into 0 2.614 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R))) into 0 2.614 * [taylor]: Taking taylor expansion of 0 in lambda2 2.614 * [backup-simplify]: Simplify 0 into 0 2.614 * [taylor]: Taking taylor expansion of 0 in R 2.614 * [backup-simplify]: Simplify 0 into 0 2.615 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) (/ 0 R)))) into 0 2.616 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R))) into 0 2.616 * [taylor]: Taking taylor expansion of 0 in R 2.616 * [backup-simplify]: Simplify 0 into 0 2.617 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) (/ 0 1)))) into 0 2.618 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))))) into 0 2.618 * [backup-simplify]: Simplify 0 into 0 2.618 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 2.619 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)))) into 0 2.619 * [taylor]: Taking taylor expansion of 0 in phi2 2.619 * [backup-simplify]: Simplify 0 into 0 2.619 * [taylor]: Taking taylor expansion of 0 in lambda1 2.619 * [backup-simplify]: Simplify 0 into 0 2.619 * [taylor]: Taking taylor expansion of 0 in lambda2 2.619 * [backup-simplify]: Simplify 0 into 0 2.620 * [taylor]: Taking taylor expansion of 0 in R 2.620 * [backup-simplify]: Simplify 0 into 0 2.620 * [taylor]: Taking taylor expansion of 0 in lambda1 2.620 * [backup-simplify]: Simplify 0 into 0 2.620 * [taylor]: Taking taylor expansion of 0 in lambda2 2.620 * [backup-simplify]: Simplify 0 into 0 2.620 * [taylor]: Taking taylor expansion of 0 in R 2.620 * [backup-simplify]: Simplify 0 into 0 2.620 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 2.621 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)))) into 0 2.621 * [taylor]: Taking taylor expansion of 0 in lambda1 2.621 * [backup-simplify]: Simplify 0 into 0 2.621 * [taylor]: Taking taylor expansion of 0 in lambda2 2.621 * [backup-simplify]: Simplify 0 into 0 2.622 * [taylor]: Taking taylor expansion of 0 in R 2.622 * [backup-simplify]: Simplify 0 into 0 2.622 * [taylor]: Taking taylor expansion of 0 in lambda2 2.622 * [backup-simplify]: Simplify 0 into 0 2.622 * [taylor]: Taking taylor expansion of 0 in R 2.622 * [backup-simplify]: Simplify 0 into 0 2.622 * [taylor]: Taking taylor expansion of 0 in lambda2 2.622 * [backup-simplify]: Simplify 0 into 0 2.622 * [taylor]: Taking taylor expansion of 0 in R 2.622 * [backup-simplify]: Simplify 0 into 0 2.622 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 2.623 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)))) into 0 2.623 * [taylor]: Taking taylor expansion of 0 in lambda2 2.623 * [backup-simplify]: Simplify 0 into 0 2.623 * [taylor]: Taking taylor expansion of 0 in R 2.623 * [backup-simplify]: Simplify 0 into 0 2.624 * [taylor]: Taking taylor expansion of 0 in R 2.624 * [backup-simplify]: Simplify 0 into 0 2.624 * [taylor]: Taking taylor expansion of 0 in R 2.624 * [backup-simplify]: Simplify 0 into 0 2.624 * [taylor]: Taking taylor expansion of 0 in R 2.624 * [backup-simplify]: Simplify 0 into 0 2.624 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 2.625 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)))) into 0 2.625 * [taylor]: Taking taylor expansion of 0 in R 2.625 * [backup-simplify]: Simplify 0 into 0 2.625 * [backup-simplify]: Simplify 0 into 0 2.625 * [backup-simplify]: Simplify 0 into 0 2.626 * [backup-simplify]: Simplify 0 into 0 2.626 * [backup-simplify]: Simplify 0 into 0 2.627 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.628 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))))) into 0 2.628 * [backup-simplify]: Simplify 0 into 0 2.629 * [backup-simplify]: Simplify (* (* -1 (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2))))))) (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))))))) (* (/ 1 (/ 1 (- R))) (* 1 (* 1 (* 1 1))))) into (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R) 2.629 * * * [progress]: simplifying candidates 2.630 * [simplify]: Simplifying: (log (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))) (exp (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))) (cbrt (pow (sin lambda1) 3)) (cbrt (pow (sin lambda2) 3)) (cbrt (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)))) (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))) (cbrt (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))) (cbrt (pow (sin lambda1) 3)) (cbrt (pow (sin lambda2) 3)) (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)))) (cbrt (sqrt (pow (* (sin lambda1) (sin lambda2)) 3))) (cbrt (sqrt (pow (* (sin lambda1) (sin lambda2)) 3))) (cbrt 1) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)) (cbrt (pow (* (sin lambda1) (sin lambda2)) (/ 3 2))) (cbrt (pow (* (sin lambda1) (sin lambda2)) (/ 3 2))) (cbrt (pow (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) 3)) (cbrt (pow 2 3)) (* (cbrt (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))) (cbrt (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))) (cbrt (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))) (* (* (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))) (sqrt (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))) (sqrt (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (* (+ (log (sin lambda1)) (log (sin lambda2))) 3) (* (log (* (sin lambda1) (sin lambda2))) 3) (* (log (* (sin lambda1) (sin lambda2))) 3) (* 1 3) (* 1 3) (pow (* (sin lambda1) (sin lambda2)) (* (cbrt 3) (cbrt 3))) (pow (* (sin lambda1) (sin lambda2)) (sqrt 3)) (pow (* (sin lambda1) (sin lambda2)) 1) (pow (sin lambda1) 3) (pow (sin lambda2) 3) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (log (pow (* (sin lambda1) (sin lambda2)) 3)) (exp (pow (* (sin lambda1) (sin lambda2)) 3)) (* (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)) (* (* (pow (* (sin lambda1) (sin lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3)) (pow (* (sin lambda1) (sin lambda2)) 3)) (pow (sin lambda1) 3) (pow (sin lambda2) 3) (pow (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) 3) (pow 2 3) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (sqrt (pow (* (sin lambda1) (sin lambda2)) 3)) (sqrt (pow (* (sin lambda1) (sin lambda2)) 3)) (pow (* (sin lambda1) (sin lambda2)) (/ 3 2)) (pow (* (sin lambda1) (sin lambda2)) (/ 3 2)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) R) (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (log R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (* (* R R) R)) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) 1) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) R) (* lambda2 lambda1) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (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 lambda2))))))) (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (- (* (pow lambda2 3) (pow lambda1 3)) (+ (* 1/2 (* (pow lambda2 5) (pow lambda1 3))) (* 1/2 (* (pow lambda2 3) (pow lambda1 5))))) (* (pow (sin lambda1) 3) (pow (sin lambda2) 3)) (* (pow (sin lambda1) 3) (pow (sin lambda2) 3)) (* (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 lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R) 2.631 * [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 (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h1) (cos h0)) (cbrt (pow (* (sin h1) (sin h0)) 3)))))) (log (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h1) (cos h0)) (cbrt (pow (* (sin h1) (sin h0)) 3))))))) (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h1) (cos h0)) (cbrt (pow (* (sin h1) (sin h0)) 3))))))) (* (cbrt (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h1) (cos h0)) (cbrt (pow (* (sin h1) (sin h0)) 3))))))) (cbrt (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h1) (cos h0)) (cbrt (pow (* (sin h1) (sin h0)) 3)))))))) (cbrt (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h1) (cos h0)) (cbrt (pow (* (sin h1) (sin h0)) 3))))))) (* (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h1) (cos h0)) (cbrt (pow (* (sin h1) (sin h0)) 3)))))) (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h1) (cos h0)) (cbrt (pow (* (sin h1) (sin h0)) 3))))))) (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h1) (cos h0)) (cbrt (pow (* (sin h1) (sin h0)) 3))))))) (sqrt (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h1) (cos h0)) (cbrt (pow (* (sin h1) (sin h0)) 3))))))) (sqrt (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h1) (cos h0)) (cbrt (pow (* (sin h1) (sin h0)) 3))))))) (* (+ (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)) (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h1) (cos h0)) (cbrt (pow (* (sin h1) (sin h0)) 3)))))) h5) (+ (log (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h1) (cos h0)) (cbrt (pow (* (sin h1) (sin h0)) 3))))))) (log h5)) (log (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h1) (cos h0)) (cbrt (pow (* (sin h1) (sin h0)) 3)))))) h5)) (exp (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h1) (cos h0)) (cbrt (pow (* (sin h1) (sin h0)) 3)))))) h5)) (* (* (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h1) (cos h0)) (cbrt (pow (* (sin h1) (sin h0)) 3)))))) (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h1) (cos h0)) (cbrt (pow (* (sin h1) (sin h0)) 3))))))) (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h1) (cos h0)) (cbrt (pow (* (sin h1) (sin h0)) 3))))))) (* (* h5 h5) h5)) (* (cbrt (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h1) (cos h0)) (cbrt (pow (* (sin h1) (sin h0)) 3)))))) h5)) (cbrt (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h1) (cos h0)) (cbrt (pow (* (sin h1) (sin h0)) 3)))))) h5))) (cbrt (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h1) (cos h0)) (cbrt (pow (* (sin h1) (sin h0)) 3)))))) h5)) (* (* (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h1) (cos h0)) (cbrt (pow (* (sin h1) (sin h0)) 3)))))) h5) (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h1) (cos h0)) (cbrt (pow (* (sin h1) (sin h0)) 3)))))) h5)) (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h1) (cos h0)) (cbrt (pow (* (sin h1) (sin h0)) 3)))))) h5)) (sqrt (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h1) (cos h0)) (cbrt (pow (* (sin h1) (sin h0)) 3)))))) h5)) (sqrt (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h1) (cos h0)) (cbrt (pow (* (sin h1) (sin h0)) 3)))))) h5)) (* (sqrt (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h1) (cos h0)) (cbrt (pow (* (sin h1) (sin h0)) 3))))))) (sqrt h5)) (* (sqrt (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h1) (cos h0)) (cbrt (pow (* (sin h1) (sin h0)) 3))))))) (sqrt h5)) (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h1) (cos h0)) (cbrt (pow (* (sin h1) (sin h0)) 3)))))) (* (cbrt h5) (cbrt h5))) (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h1) (cos h0)) (cbrt (pow (* (sin h1) (sin h0)) 3)))))) (sqrt h5)) (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h1) (cos h0)) (cbrt (pow (* (sin h1) (sin h0)) 3)))))) 1) (* (cbrt (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h1) (cos h0)) (cbrt (pow (* (sin h1) (sin h0)) 3))))))) h5) (* (sqrt (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h1) (cos h0)) (cbrt (pow (* (sin h1) (sin h0)) 3))))))) h5) (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h1) (cos h0)) (cbrt (pow (* (sin h1) (sin h0)) 3)))))) h5) (* h0 h1) (* (sin h1) (sin h0)) (* (sin h1) (sin h0)) (acos (+ (* (sin h4) (sin h3)) (+ (* (cos h1) (* (cos h4) (* (cos h3) (cos h0)))) (* (sin h1) (* (cos h4) (* (cos h3) (sin h0))))))) (acos (+ (* (sin h4) (sin h3)) (+ (* (cos h1) (* (cos h4) (* (cos h3) (cos h0)))) (* (sin h1) (* (cos h4) (* (cos h3) (sin h0))))))) (acos (+ (* (sin h1) (* (cos h4) (* (cos h3) (sin h0)))) (+ (* (cos h1) (* (cos h4) (* (cos h3) (cos h0)))) (* (sin h4) (sin h3))))) (- (* (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)) (* (acos (+ (* (sin h4) (sin h3)) (+ (* (cos h1) (* (cos h4) (* (cos h3) (cos h0)))) (* (sin h1) (* (cos h4) (* (cos h3) (sin h0))))))) h5) (* (acos (+ (* (sin h4) (sin h3)) (+ (* (cos h1) (* (cos h4) (* (cos h3) (cos h0)))) (* (sin h1) (* (cos h4) (* (cos h3) (sin h0))))))) h5) (* (acos (+ (* (sin h1) (* (cos h4) (* (cos h3) (sin h0)))) (+ (* (cos h1) (* (cos h4) (* (cos h3) (cos h0)))) (* (sin h4) (sin h3))))) h5) 2.636 * * [simplify]: iteration 0 : 285 enodes (cost 1038 ) 2.641 * * [simplify]: iteration 1 : 1031 enodes (cost 891 ) 2.666 * * [simplify]: iteration 2 : 4820 enodes (cost 891 ) 2.809 * * [simplify]: iteration 3 : 5001 enodes (cost 891 ) 2.813 * * * [progress]: adding candidates to table 3.168 * [progress]: [Phase 3 of 3] Extracting. 3.169 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # # # # #) 3.189 * * * [regime-changes]: Trying 7 branch expressions: ((- lambda1 lambda2) (cos (- lambda1 lambda2)) phi2 phi1 lambda2 lambda1 R) 3.189 * * * * [regimes]: Trying to branch on (- lambda1 lambda2) from (# # # # # # # # # # # # # # # # # #) 3.315 * * * * [regimes]: Trying to branch on (cos (- lambda1 lambda2)) from (# # # # # # # # # # # # # # # # # #) 3.443 * * * * [regimes]: Trying to branch on phi2 from (# # # # # # # # # # # # # # # # # #) 3.570 * * * * [regimes]: Trying to branch on phi1 from (# # # # # # # # # # # # # # # # # #) 3.696 * * * * [regimes]: Trying to branch on lambda2 from (# # # # # # # # # # # # # # # # # #) 3.825 * * * * [regimes]: Trying to branch on lambda1 from (# # # # # # # # # # # # # # # # # #) 3.949 * * * * [regimes]: Trying to branch on R from (# # # # # # # # # # # # # # # # # #) 4.074 * * * [regime]: Found split indices: #