8.132 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.260 * * * [progress]: [2/2] Setting up program. 0.264 * [progress]: [Phase 2 of 3] Improving. 0.264 * [simplify]: Simplifying: (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 0.264 * [simplify]: Sending expressions to egg_math: (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (cos (- h2 h1))))) h0) 0.266 * * [simplify]: iteration 0 : 26 enodes (cost 12 ) 0.267 * * [simplify]: iteration 1 : 34 enodes (cost 12 ) 0.268 * * [simplify]: iteration 2 : 36 enodes (cost 12 ) 0.270 * * [simplify]: iteration 3 : 36 enodes (cost 12 ) 0.270 * * [progress]: iteration 1 / 4 0.270 * * * [progress]: picking best candidate 0.273 * * * * [pick]: Picked # 0.273 * * * [progress]: localizing error 0.303 * * * [progress]: generating rewritten candidates 0.303 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2) 0.312 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.314 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.321 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 0.333 * * * [progress]: generating series expansions 0.333 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2) 0.333 * [backup-simplify]: Simplify (cos (- lambda1 lambda2)) into (cos (- lambda1 lambda2)) 0.333 * [approximate]: Taking taylor expansion of (cos (- lambda1 lambda2)) in (lambda1 lambda2) around 0 0.333 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2 0.334 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2 0.334 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.334 * [backup-simplify]: Simplify lambda1 into lambda1 0.334 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.334 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify 1 into 1 0.334 * [backup-simplify]: Simplify (- 0) into 0 0.334 * [backup-simplify]: Simplify (+ lambda1 0) into lambda1 0.334 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 0.335 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 0.335 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.335 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.335 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.335 * [backup-simplify]: Simplify 0 into 0 0.335 * [backup-simplify]: Simplify 1 into 1 0.335 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.335 * [backup-simplify]: Simplify lambda2 into lambda2 0.335 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 0.335 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2) 0.335 * [backup-simplify]: Simplify (cos (- lambda2)) into (cos (- lambda2)) 0.335 * [backup-simplify]: Simplify (sin (- lambda2)) into (sin (- lambda2)) 0.335 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.335 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.335 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.335 * [backup-simplify]: Simplify 0 into 0 0.335 * [backup-simplify]: Simplify 1 into 1 0.335 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.335 * [backup-simplify]: Simplify lambda2 into lambda2 0.335 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 0.335 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2) 0.335 * [backup-simplify]: Simplify (cos (- lambda2)) into (cos (- lambda2)) 0.335 * [backup-simplify]: Simplify (sin (- lambda2)) into (sin (- lambda2)) 0.336 * [backup-simplify]: Simplify (* (cos (- lambda2)) 1) into (cos (- lambda2)) 0.336 * [backup-simplify]: Simplify (* (sin (- lambda2)) 0) into 0 0.336 * [backup-simplify]: Simplify (- 0) into 0 0.336 * [backup-simplify]: Simplify (+ (cos (- lambda2)) 0) into (cos (- lambda2)) 0.336 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.336 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.336 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.336 * [backup-simplify]: Simplify 0 into 0 0.336 * [backup-simplify]: Simplify 1 into 1 0.337 * [backup-simplify]: Simplify (- 0) into 0 0.337 * [backup-simplify]: Simplify (- 1) into -1 0.337 * [backup-simplify]: Simplify 1 into 1 0.338 * [backup-simplify]: Simplify (+ 0) into 0 0.339 * [backup-simplify]: Simplify (+ (* (cos (- lambda2)) 0) (* 0 1)) into 0 0.339 * [backup-simplify]: Simplify (- 0) into 0 0.340 * [backup-simplify]: Simplify (+ 1 0) into 1 0.340 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 0.341 * [backup-simplify]: Simplify (+ (* (sin (- lambda2)) 1) (* 0 0)) into (sin (- lambda2)) 0.341 * [backup-simplify]: Simplify (- (sin (- lambda2))) into (- (sin (- lambda2))) 0.341 * [backup-simplify]: Simplify (+ 0 (- (sin (- lambda2)))) into (- (sin (- lambda2))) 0.341 * [taylor]: Taking taylor expansion of (- (sin (- lambda2))) in lambda2 0.341 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 0.341 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.341 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.341 * [backup-simplify]: Simplify 0 into 0 0.341 * [backup-simplify]: Simplify 1 into 1 0.341 * [backup-simplify]: Simplify (- 0) into 0 0.342 * [backup-simplify]: Simplify (- 1) into -1 0.342 * [backup-simplify]: Simplify (- 0) into 0 0.342 * [backup-simplify]: Simplify 0 into 0 0.342 * [backup-simplify]: Simplify (+ 0) into 0 0.342 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.344 * [backup-simplify]: Simplify (+ (* (cos (- lambda2)) -1/2) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (cos (- lambda2)))) 0.344 * [backup-simplify]: Simplify (- 0) into 0 0.344 * [backup-simplify]: Simplify (+ 0 0) into 0 0.345 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.346 * [backup-simplify]: Simplify (+ (* (sin (- lambda2)) 0) (+ (* 0 1) (* 0 0))) into 0 0.346 * [backup-simplify]: Simplify (- 0) into 0 0.346 * [backup-simplify]: Simplify (+ (- (* 1/2 (cos (- lambda2)))) 0) into (- (* 1/2 (cos (- lambda2)))) 0.346 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda2)))) in lambda2 0.346 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda2))) in lambda2 0.346 * [taylor]: Taking taylor expansion of 1/2 in lambda2 0.346 * [backup-simplify]: Simplify 1/2 into 1/2 0.346 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.346 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.346 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.346 * [backup-simplify]: Simplify 0 into 0 0.347 * [backup-simplify]: Simplify 1 into 1 0.347 * [backup-simplify]: Simplify (- 0) into 0 0.347 * [backup-simplify]: Simplify (- 1) into -1 0.348 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.348 * [backup-simplify]: Simplify (- 1/2) into -1/2 0.348 * [backup-simplify]: Simplify -1/2 into -1/2 0.348 * [backup-simplify]: Simplify (- 1) into -1 0.349 * [backup-simplify]: Simplify (+ (* 1 (/ (pow -1 1) 1))) into -1 0.349 * [backup-simplify]: Simplify (- -1) into 1 0.349 * [backup-simplify]: Simplify 1 into 1 0.350 * [backup-simplify]: Simplify (+ (* 1 (* lambda2 lambda1)) (+ (* -1/2 (pow (* 1 lambda1) 2)) 1)) into (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2))) 0.350 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0.350 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in (lambda1 lambda2) around 0 0.350 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.350 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.350 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.350 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.350 * [backup-simplify]: Simplify lambda1 into lambda1 0.350 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 0.350 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.350 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.350 * [backup-simplify]: Simplify 0 into 0 0.350 * [backup-simplify]: Simplify 1 into 1 0.351 * [backup-simplify]: Simplify (/ 1 1) into 1 0.351 * [backup-simplify]: Simplify (- 1) into -1 0.351 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.352 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0.352 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.352 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.352 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.352 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.352 * [backup-simplify]: Simplify 0 into 0 0.352 * [backup-simplify]: Simplify 1 into 1 0.352 * [backup-simplify]: Simplify (/ 1 1) into 1 0.352 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.352 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.352 * [backup-simplify]: Simplify lambda2 into lambda2 0.352 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 0.353 * [backup-simplify]: Simplify (+ 1 0) into 1 0.353 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0.353 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.353 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.353 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.353 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.353 * [backup-simplify]: Simplify 0 into 0 0.353 * [backup-simplify]: Simplify 1 into 1 0.353 * [backup-simplify]: Simplify (/ 1 1) into 1 0.353 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.353 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.353 * [backup-simplify]: Simplify lambda2 into lambda2 0.353 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 0.354 * [backup-simplify]: Simplify (+ 1 0) into 1 0.354 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0.354 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.354 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.354 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.354 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.354 * [backup-simplify]: Simplify lambda1 into lambda1 0.354 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 0.354 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.354 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.354 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify 1 into 1 0.355 * [backup-simplify]: Simplify (/ 1 1) into 1 0.355 * [backup-simplify]: Simplify (- 1) into -1 0.355 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.355 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0.356 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0.356 * [taylor]: Taking taylor expansion of 0 in lambda2 0.356 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify 0 into 0 0.356 * [taylor]: Taking taylor expansion of 0 in lambda2 0.356 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify 0 into 0 0.356 * [taylor]: Taking taylor expansion of 0 in lambda2 0.356 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify (cos (- (/ 1 (/ 1 lambda1)) (/ 1 (/ 1 lambda2)))) into (cos (- lambda1 lambda2)) 0.356 * [backup-simplify]: Simplify (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0.356 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in (lambda1 lambda2) around 0 0.356 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.357 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.357 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.357 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.357 * [backup-simplify]: Simplify 0 into 0 0.357 * [backup-simplify]: Simplify 1 into 1 0.357 * [backup-simplify]: Simplify (/ 1 1) into 1 0.357 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.357 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.357 * [backup-simplify]: Simplify lambda1 into lambda1 0.357 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 0.357 * [backup-simplify]: Simplify (+ 1 0) into 1 0.358 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0.358 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.358 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.358 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.358 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.358 * [backup-simplify]: Simplify lambda2 into lambda2 0.358 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 0.358 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.358 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.358 * [backup-simplify]: Simplify 0 into 0 0.358 * [backup-simplify]: Simplify 1 into 1 0.358 * [backup-simplify]: Simplify (/ 1 1) into 1 0.358 * [backup-simplify]: Simplify (- 1) into -1 0.359 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.359 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0.359 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.359 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.359 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.359 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.359 * [backup-simplify]: Simplify lambda2 into lambda2 0.359 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 0.359 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.359 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.359 * [backup-simplify]: Simplify 0 into 0 0.359 * [backup-simplify]: Simplify 1 into 1 0.359 * [backup-simplify]: Simplify (/ 1 1) into 1 0.359 * [backup-simplify]: Simplify (- 1) into -1 0.360 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.360 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0.360 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.360 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.360 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.360 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.360 * [backup-simplify]: Simplify 0 into 0 0.360 * [backup-simplify]: Simplify 1 into 1 0.360 * [backup-simplify]: Simplify (/ 1 1) into 1 0.360 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.360 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.360 * [backup-simplify]: Simplify lambda1 into lambda1 0.360 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 0.361 * [backup-simplify]: Simplify (+ 1 0) into 1 0.361 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0.361 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0.361 * [taylor]: Taking taylor expansion of 0 in lambda2 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [taylor]: Taking taylor expansion of 0 in lambda2 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [taylor]: Taking taylor expansion of 0 in lambda2 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify (cos (- (/ 1 (/ 1 (- lambda2))) (/ 1 (/ 1 (- lambda1))))) into (cos (- lambda1 lambda2)) 0.361 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.361 * [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))))) 0.361 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 0.361 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.362 * [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))))) 0.362 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.363 * [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))))) 0.363 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.363 * [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))))) 0.363 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.363 * [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))))) 0.363 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.363 * [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))))) 0.363 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.363 * [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))))) 0.363 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.364 * [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))))) 0.364 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.364 * [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))))) 0.364 * [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))))) 0.364 * [taylor]: Taking taylor expansion of 0 in phi2 0.364 * [backup-simplify]: Simplify 0 into 0 0.364 * [taylor]: Taking taylor expansion of 0 in lambda1 0.364 * [backup-simplify]: Simplify 0 into 0 0.364 * [taylor]: Taking taylor expansion of 0 in lambda2 0.364 * [backup-simplify]: Simplify 0 into 0 0.364 * [backup-simplify]: Simplify 0 into 0 0.364 * [taylor]: Taking taylor expansion of 0 in lambda1 0.364 * [backup-simplify]: Simplify 0 into 0 0.364 * [taylor]: Taking taylor expansion of 0 in lambda2 0.364 * [backup-simplify]: Simplify 0 into 0 0.364 * [backup-simplify]: Simplify 0 into 0 0.364 * [taylor]: Taking taylor expansion of 0 in lambda2 0.364 * [backup-simplify]: Simplify 0 into 0 0.364 * [backup-simplify]: Simplify 0 into 0 0.364 * [backup-simplify]: Simplify 0 into 0 0.364 * [taylor]: Taking taylor expansion of 0 in phi2 0.364 * [backup-simplify]: Simplify 0 into 0 0.364 * [taylor]: Taking taylor expansion of 0 in lambda1 0.364 * [backup-simplify]: Simplify 0 into 0 0.364 * [taylor]: Taking taylor expansion of 0 in lambda2 0.364 * [backup-simplify]: Simplify 0 into 0 0.365 * [backup-simplify]: Simplify 0 into 0 0.365 * [taylor]: Taking taylor expansion of 0 in lambda1 0.365 * [backup-simplify]: Simplify 0 into 0 0.365 * [taylor]: Taking taylor expansion of 0 in lambda2 0.365 * [backup-simplify]: Simplify 0 into 0 0.365 * [backup-simplify]: Simplify 0 into 0 0.365 * [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))))) 0.365 * [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))))))) 0.365 * [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 0.365 * [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 0.365 * [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))))))) 0.365 * [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 0.366 * [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))))))) 0.366 * [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 0.366 * [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))))))) 0.366 * [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 0.366 * [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))))))) 0.366 * [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 0.367 * [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))))))) 0.367 * [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 0.367 * [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))))))) 0.367 * [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 0.371 * [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))))))) 0.371 * [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 0.372 * [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))))))) 0.372 * [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))))))) 0.372 * [taylor]: Taking taylor expansion of 0 in phi2 0.372 * [backup-simplify]: Simplify 0 into 0 0.372 * [taylor]: Taking taylor expansion of 0 in lambda1 0.372 * [backup-simplify]: Simplify 0 into 0 0.372 * [taylor]: Taking taylor expansion of 0 in lambda2 0.372 * [backup-simplify]: Simplify 0 into 0 0.372 * [backup-simplify]: Simplify 0 into 0 0.372 * [taylor]: Taking taylor expansion of 0 in lambda1 0.372 * [backup-simplify]: Simplify 0 into 0 0.372 * [taylor]: Taking taylor expansion of 0 in lambda2 0.372 * [backup-simplify]: Simplify 0 into 0 0.372 * [backup-simplify]: Simplify 0 into 0 0.372 * [taylor]: Taking taylor expansion of 0 in lambda2 0.372 * [backup-simplify]: Simplify 0 into 0 0.372 * [backup-simplify]: Simplify 0 into 0 0.372 * [backup-simplify]: Simplify 0 into 0 0.372 * [taylor]: Taking taylor expansion of 0 in phi2 0.372 * [backup-simplify]: Simplify 0 into 0 0.372 * [taylor]: Taking taylor expansion of 0 in lambda1 0.372 * [backup-simplify]: Simplify 0 into 0 0.372 * [taylor]: Taking taylor expansion of 0 in lambda2 0.372 * [backup-simplify]: Simplify 0 into 0 0.372 * [backup-simplify]: Simplify 0 into 0 0.372 * [taylor]: Taking taylor expansion of 0 in lambda1 0.372 * [backup-simplify]: Simplify 0 into 0 0.372 * [taylor]: Taking taylor expansion of 0 in lambda2 0.372 * [backup-simplify]: Simplify 0 into 0 0.372 * [backup-simplify]: Simplify 0 into 0 0.373 * [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))))) 0.373 * [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))))) 0.373 * [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 0.373 * [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 0.373 * [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))))) 0.373 * [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 0.374 * [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))))) 0.374 * [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 0.374 * [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))))) 0.374 * [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 0.374 * [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))))) 0.374 * [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 0.375 * [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))))) 0.375 * [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 0.375 * [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))))) 0.375 * [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 0.375 * [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))))) 0.375 * [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 0.375 * [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))))) 0.376 * [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))))) 0.376 * [taylor]: Taking taylor expansion of 0 in phi2 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [taylor]: Taking taylor expansion of 0 in lambda1 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [taylor]: Taking taylor expansion of 0 in lambda2 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [taylor]: Taking taylor expansion of 0 in lambda1 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [taylor]: Taking taylor expansion of 0 in lambda2 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [taylor]: Taking taylor expansion of 0 in lambda2 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [taylor]: Taking taylor expansion of 0 in phi2 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [taylor]: Taking taylor expansion of 0 in lambda1 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [taylor]: Taking taylor expansion of 0 in lambda2 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [taylor]: Taking taylor expansion of 0 in lambda1 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [taylor]: Taking taylor expansion of 0 in lambda2 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [backup-simplify]: Simplify 0 into 0 0.377 * [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))))) 0.377 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.377 * [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) 0.377 * [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 0.377 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R 0.377 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R 0.377 * [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))))) 0.377 * [taylor]: Taking taylor expansion of R in R 0.377 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify 1 into 1 0.377 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2 0.377 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.378 * [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))))) 0.378 * [taylor]: Taking taylor expansion of R in lambda2 0.378 * [backup-simplify]: Simplify R into R 0.378 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1 0.378 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.378 * [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))))) 0.378 * [taylor]: Taking taylor expansion of R in lambda1 0.378 * [backup-simplify]: Simplify R into R 0.378 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2 0.378 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.378 * [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))))) 0.378 * [taylor]: Taking taylor expansion of R in phi2 0.378 * [backup-simplify]: Simplify R into R 0.378 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1 0.378 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.378 * [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))))) 0.378 * [taylor]: Taking taylor expansion of R in phi1 0.378 * [backup-simplify]: Simplify R into R 0.378 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1 0.378 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.379 * [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))))) 0.379 * [taylor]: Taking taylor expansion of R in phi1 0.379 * [backup-simplify]: Simplify R into R 0.379 * [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) 0.379 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2 0.379 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.379 * [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))))) 0.379 * [taylor]: Taking taylor expansion of R in phi2 0.379 * [backup-simplify]: Simplify R into R 0.379 * [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) 0.379 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1 0.379 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.379 * [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))))) 0.379 * [taylor]: Taking taylor expansion of R in lambda1 0.380 * [backup-simplify]: Simplify R into R 0.380 * [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) 0.380 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2 0.380 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.380 * [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))))) 0.380 * [taylor]: Taking taylor expansion of R in lambda2 0.380 * [backup-simplify]: Simplify R into R 0.380 * [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) 0.380 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R 0.380 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R 0.380 * [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))))) 0.380 * [taylor]: Taking taylor expansion of R in R 0.380 * [backup-simplify]: Simplify 0 into 0 0.380 * [backup-simplify]: Simplify 1 into 1 0.381 * [backup-simplify]: Simplify (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) 0) into 0 0.381 * [backup-simplify]: Simplify 0 into 0 0.381 * [backup-simplify]: Simplify (+ (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) 0) (* 0 R)) into 0 0.381 * [taylor]: Taking taylor expansion of 0 in phi2 0.381 * [backup-simplify]: Simplify 0 into 0 0.381 * [taylor]: Taking taylor expansion of 0 in lambda1 0.381 * [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 * [taylor]: Taking taylor expansion of 0 in R 0.381 * [backup-simplify]: Simplify 0 into 0 0.381 * [backup-simplify]: Simplify 0 into 0 0.381 * [backup-simplify]: Simplify (+ (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) 0) (* 0 R)) into 0 0.381 * [taylor]: Taking taylor expansion of 0 in lambda1 0.381 * [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 * [taylor]: Taking taylor expansion of 0 in R 0.381 * [backup-simplify]: Simplify 0 into 0 0.381 * [backup-simplify]: Simplify 0 into 0 0.382 * [backup-simplify]: Simplify (+ (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) 0) (* 0 R)) into 0 0.382 * [taylor]: Taking taylor expansion of 0 in lambda2 0.382 * [backup-simplify]: Simplify 0 into 0 0.382 * [taylor]: Taking taylor expansion of 0 in R 0.382 * [backup-simplify]: Simplify 0 into 0 0.382 * [backup-simplify]: Simplify 0 into 0 0.382 * [backup-simplify]: Simplify (+ (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) 0) (* 0 R)) into 0 0.382 * [taylor]: Taking taylor expansion of 0 in R 0.382 * [backup-simplify]: Simplify 0 into 0 0.382 * [backup-simplify]: Simplify 0 into 0 0.383 * [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))))) 0.383 * [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))))) 0.384 * [backup-simplify]: Simplify (+ (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) 0) (+ (* 0 0) (* 0 R))) into 0 0.384 * [taylor]: Taking taylor expansion of 0 in phi2 0.384 * [backup-simplify]: Simplify 0 into 0 0.384 * [taylor]: Taking taylor expansion of 0 in lambda1 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 * [taylor]: Taking taylor expansion of 0 in R 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 lambda1 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 * [taylor]: Taking taylor expansion of 0 in R 0.384 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify (+ (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) 0) (+ (* 0 0) (* 0 R))) into 0 0.384 * [taylor]: Taking taylor expansion of 0 in lambda1 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 * [taylor]: Taking taylor expansion of 0 in R 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 * [taylor]: Taking taylor expansion of 0 in R 0.385 * [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 * [taylor]: Taking taylor expansion of 0 in R 0.385 * [backup-simplify]: Simplify 0 into 0 0.385 * [backup-simplify]: Simplify 0 into 0 0.385 * [backup-simplify]: Simplify (+ (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) 0) (+ (* 0 0) (* 0 R))) into 0 0.385 * [taylor]: Taking taylor expansion of 0 in lambda2 0.385 * [backup-simplify]: Simplify 0 into 0 0.385 * [taylor]: Taking taylor expansion of 0 in R 0.385 * [backup-simplify]: Simplify 0 into 0 0.385 * [backup-simplify]: Simplify 0 into 0 0.386 * [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) 0.386 * [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) 0.386 * [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 0.386 * [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 0.386 * [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 0.386 * [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))))))) 0.386 * [taylor]: Taking taylor expansion of R in R 0.386 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify 1 into 1 0.387 * [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))))))) 0.387 * [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 0.387 * [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 0.387 * [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))))))) 0.387 * [taylor]: Taking taylor expansion of R in lambda2 0.387 * [backup-simplify]: Simplify R into R 0.387 * [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) 0.387 * [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 0.387 * [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 0.388 * [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))))))) 0.388 * [taylor]: Taking taylor expansion of R in lambda1 0.388 * [backup-simplify]: Simplify R into R 0.388 * [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) 0.388 * [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 0.388 * [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 0.388 * [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))))))) 0.388 * [taylor]: Taking taylor expansion of R in phi2 0.388 * [backup-simplify]: Simplify R into R 0.389 * [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) 0.389 * [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 0.389 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi1 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 R in phi1 0.389 * [backup-simplify]: Simplify R into R 0.389 * [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) 0.389 * [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 0.389 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in 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 R in phi1 0.390 * [backup-simplify]: Simplify R into R 0.390 * [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) 0.390 * [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 0.390 * [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 0.390 * [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 R in phi2 0.390 * [backup-simplify]: Simplify R into R 0.391 * [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) 0.391 * [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 0.391 * [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 R in lambda1 0.391 * [backup-simplify]: Simplify R into R 0.391 * [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) 0.391 * [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 0.391 * [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))))))) 0.391 * [taylor]: Taking taylor expansion of R in lambda2 0.391 * [backup-simplify]: Simplify R into R 0.392 * [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) 0.392 * [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 0.392 * [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 0.392 * [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 R in R 0.392 * [backup-simplify]: Simplify 0 into 0 0.392 * [backup-simplify]: Simplify 1 into 1 0.392 * [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))))))) 0.393 * [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))))))) 0.393 * [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 0.393 * [taylor]: Taking taylor expansion of 0 in phi2 0.393 * [backup-simplify]: Simplify 0 into 0 0.393 * [taylor]: Taking taylor expansion of 0 in lambda1 0.393 * [backup-simplify]: Simplify 0 into 0 0.393 * [taylor]: Taking taylor expansion of 0 in lambda2 0.393 * [backup-simplify]: Simplify 0 into 0 0.393 * [taylor]: Taking taylor expansion of 0 in R 0.393 * [backup-simplify]: Simplify 0 into 0 0.394 * [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 0.394 * [taylor]: Taking taylor expansion of 0 in lambda1 0.394 * [backup-simplify]: Simplify 0 into 0 0.394 * [taylor]: Taking taylor expansion of 0 in lambda2 0.394 * [backup-simplify]: Simplify 0 into 0 0.394 * [taylor]: Taking taylor expansion of 0 in R 0.394 * [backup-simplify]: Simplify 0 into 0 0.394 * [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 0.394 * [taylor]: Taking taylor expansion of 0 in lambda2 0.394 * [backup-simplify]: Simplify 0 into 0 0.394 * [taylor]: Taking taylor expansion of 0 in R 0.394 * [backup-simplify]: Simplify 0 into 0 0.395 * [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 0.395 * [taylor]: Taking taylor expansion of 0 in R 0.395 * [backup-simplify]: Simplify 0 into 0 0.396 * [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 0.396 * [backup-simplify]: Simplify 0 into 0 0.396 * [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 0.396 * [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 * [taylor]: Taking taylor expansion of 0 in R 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 * [taylor]: Taking taylor expansion of 0 in R 0.396 * [backup-simplify]: Simplify 0 into 0 0.397 * [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 0.397 * [taylor]: Taking taylor expansion of 0 in lambda1 0.397 * [backup-simplify]: Simplify 0 into 0 0.397 * [taylor]: Taking taylor expansion of 0 in lambda2 0.397 * [backup-simplify]: Simplify 0 into 0 0.397 * [taylor]: Taking taylor expansion of 0 in R 0.397 * [backup-simplify]: Simplify 0 into 0 0.397 * [taylor]: Taking taylor expansion of 0 in lambda2 0.397 * [backup-simplify]: Simplify 0 into 0 0.397 * [taylor]: Taking taylor expansion of 0 in R 0.397 * [backup-simplify]: Simplify 0 into 0 0.397 * [taylor]: Taking taylor expansion of 0 in lambda2 0.397 * [backup-simplify]: Simplify 0 into 0 0.397 * [taylor]: Taking taylor expansion of 0 in R 0.397 * [backup-simplify]: Simplify 0 into 0 0.397 * [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 0.397 * [taylor]: Taking taylor expansion of 0 in lambda2 0.397 * [backup-simplify]: Simplify 0 into 0 0.397 * [taylor]: Taking taylor expansion of 0 in R 0.397 * [backup-simplify]: Simplify 0 into 0 0.397 * [taylor]: Taking taylor expansion of 0 in R 0.397 * [backup-simplify]: Simplify 0 into 0 0.398 * [taylor]: Taking taylor expansion of 0 in R 0.398 * [backup-simplify]: Simplify 0 into 0 0.398 * [taylor]: Taking taylor expansion of 0 in R 0.398 * [backup-simplify]: Simplify 0 into 0 0.398 * [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 0.398 * [taylor]: Taking taylor expansion of 0 in R 0.398 * [backup-simplify]: Simplify 0 into 0 0.398 * [backup-simplify]: Simplify 0 into 0 0.398 * [backup-simplify]: Simplify 0 into 0 0.398 * [backup-simplify]: Simplify 0 into 0 0.398 * [backup-simplify]: Simplify 0 into 0 0.399 * [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 0.399 * [backup-simplify]: Simplify 0 into 0 0.400 * [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) 0.400 * [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)) 0.400 * [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 0.400 * [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 0.400 * [taylor]: Taking taylor expansion of -1 in R 0.400 * [backup-simplify]: Simplify -1 into -1 0.400 * [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 0.401 * [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 0.401 * [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))))) 0.401 * [taylor]: Taking taylor expansion of R in R 0.401 * [backup-simplify]: Simplify 0 into 0 0.401 * [backup-simplify]: Simplify 1 into 1 0.401 * [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))))) 0.401 * [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 0.401 * [taylor]: Taking taylor expansion of -1 in lambda2 0.401 * [backup-simplify]: Simplify -1 into -1 0.401 * [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 0.401 * [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 0.401 * [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))))) 0.401 * [taylor]: Taking taylor expansion of R in lambda2 0.402 * [backup-simplify]: Simplify R into R 0.402 * [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) 0.402 * [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 0.402 * [taylor]: Taking taylor expansion of -1 in lambda1 0.402 * [backup-simplify]: Simplify -1 into -1 0.402 * [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 0.402 * [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 0.402 * [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))))) 0.402 * [taylor]: Taking taylor expansion of R in lambda1 0.402 * [backup-simplify]: Simplify R into R 0.403 * [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) 0.403 * [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 0.403 * [taylor]: Taking taylor expansion of -1 in phi2 0.403 * [backup-simplify]: Simplify -1 into -1 0.403 * [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 0.403 * [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 0.403 * [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))))) 0.403 * [taylor]: Taking taylor expansion of R in phi2 0.403 * [backup-simplify]: Simplify R into R 0.403 * [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) 0.403 * [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 0.403 * [taylor]: Taking taylor expansion of -1 in phi1 0.403 * [backup-simplify]: Simplify -1 into -1 0.403 * [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 0.403 * [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 0.404 * [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))))) 0.404 * [taylor]: Taking taylor expansion of R in phi1 0.404 * [backup-simplify]: Simplify R into R 0.404 * [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) 0.404 * [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 0.404 * [taylor]: Taking taylor expansion of -1 in phi1 0.404 * [backup-simplify]: Simplify -1 into -1 0.404 * [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 0.404 * [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 0.404 * [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))))) 0.404 * [taylor]: Taking taylor expansion of R in phi1 0.404 * [backup-simplify]: Simplify R into R 0.405 * [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) 0.405 * [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)) 0.405 * [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 0.405 * [taylor]: Taking taylor expansion of -1 in phi2 0.405 * [backup-simplify]: Simplify -1 into -1 0.405 * [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 0.405 * [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 0.405 * [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))))) 0.405 * [taylor]: Taking taylor expansion of R in phi2 0.405 * [backup-simplify]: Simplify R into R 0.406 * [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) 0.406 * [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)) 0.406 * [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 0.406 * [taylor]: Taking taylor expansion of -1 in lambda1 0.406 * [backup-simplify]: Simplify -1 into -1 0.406 * [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 0.406 * [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 0.406 * [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))))) 0.406 * [taylor]: Taking taylor expansion of R in lambda1 0.406 * [backup-simplify]: Simplify R into R 0.407 * [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) 0.407 * [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)) 0.407 * [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 0.407 * [taylor]: Taking taylor expansion of -1 in lambda2 0.407 * [backup-simplify]: Simplify -1 into -1 0.407 * [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 0.407 * [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 0.407 * [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))))) 0.407 * [taylor]: Taking taylor expansion of R in lambda2 0.407 * [backup-simplify]: Simplify R into R 0.408 * [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) 0.408 * [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)) 0.408 * [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 0.408 * [taylor]: Taking taylor expansion of -1 in R 0.408 * [backup-simplify]: Simplify -1 into -1 0.408 * [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 0.408 * [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 0.408 * [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))))) 0.408 * [taylor]: Taking taylor expansion of R in R 0.408 * [backup-simplify]: Simplify 0 into 0 0.408 * [backup-simplify]: Simplify 1 into 1 0.409 * [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))))) 0.409 * [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)))))) 0.409 * [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)))))) 0.410 * [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 0.410 * [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 0.410 * [taylor]: Taking taylor expansion of 0 in phi2 0.411 * [backup-simplify]: Simplify 0 into 0 0.411 * [taylor]: Taking taylor expansion of 0 in lambda1 0.411 * [backup-simplify]: Simplify 0 into 0 0.411 * [taylor]: Taking taylor expansion of 0 in lambda2 0.411 * [backup-simplify]: Simplify 0 into 0 0.411 * [taylor]: Taking taylor expansion of 0 in R 0.411 * [backup-simplify]: Simplify 0 into 0 0.411 * [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 0.412 * [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 0.412 * [taylor]: Taking taylor expansion of 0 in lambda1 0.412 * [backup-simplify]: Simplify 0 into 0 0.412 * [taylor]: Taking taylor expansion of 0 in lambda2 0.412 * [backup-simplify]: Simplify 0 into 0 0.412 * [taylor]: Taking taylor expansion of 0 in R 0.412 * [backup-simplify]: Simplify 0 into 0 0.412 * [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 0.413 * [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 0.413 * [taylor]: Taking taylor expansion of 0 in lambda2 0.413 * [backup-simplify]: Simplify 0 into 0 0.413 * [taylor]: Taking taylor expansion of 0 in R 0.413 * [backup-simplify]: Simplify 0 into 0 0.413 * [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 0.414 * [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 0.414 * [taylor]: Taking taylor expansion of 0 in R 0.414 * [backup-simplify]: Simplify 0 into 0 0.415 * [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 0.415 * [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 0.415 * [backup-simplify]: Simplify 0 into 0 0.416 * [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 0.416 * [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 0.416 * [taylor]: Taking taylor expansion of 0 in phi2 0.416 * [backup-simplify]: Simplify 0 into 0 0.416 * [taylor]: Taking taylor expansion of 0 in lambda1 0.417 * [backup-simplify]: Simplify 0 into 0 0.417 * [taylor]: Taking taylor expansion of 0 in lambda2 0.417 * [backup-simplify]: Simplify 0 into 0 0.417 * [taylor]: Taking taylor expansion of 0 in R 0.417 * [backup-simplify]: Simplify 0 into 0 0.417 * [taylor]: Taking taylor expansion of 0 in lambda1 0.417 * [backup-simplify]: Simplify 0 into 0 0.417 * [taylor]: Taking taylor expansion of 0 in lambda2 0.417 * [backup-simplify]: Simplify 0 into 0 0.417 * [taylor]: Taking taylor expansion of 0 in R 0.417 * [backup-simplify]: Simplify 0 into 0 0.417 * [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 0.418 * [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 0.418 * [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 0.418 * [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 0.418 * [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 (+ (* (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 0.419 * [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 0.419 * [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 * [taylor]: Taking taylor expansion of 0 in R 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 0.420 * [taylor]: Taking taylor expansion of 0 in R 0.420 * [backup-simplify]: Simplify 0 into 0 0.420 * [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 0.421 * [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 0.421 * [taylor]: Taking taylor expansion of 0 in R 0.421 * [backup-simplify]: Simplify 0 into 0 0.421 * [backup-simplify]: Simplify 0 into 0 0.421 * [backup-simplify]: Simplify 0 into 0 0.421 * [backup-simplify]: Simplify 0 into 0 0.421 * [backup-simplify]: Simplify 0 into 0 0.422 * [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 0.423 * [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 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [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) 0.424 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 0.424 * [backup-simplify]: Simplify (* (sin phi1) (sin phi2)) into (* (sin phi1) (sin phi2)) 0.424 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 0.424 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 0.424 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 0.424 * [taylor]: Taking taylor expansion of phi1 in phi2 0.424 * [backup-simplify]: Simplify phi1 into phi1 0.424 * [backup-simplify]: Simplify (sin phi1) into (sin phi1) 0.424 * [backup-simplify]: Simplify (cos phi1) into (cos phi1) 0.424 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.424 * [taylor]: Taking taylor expansion of phi2 in phi2 0.424 * [backup-simplify]: Simplify 0 into 0 0.424 * [backup-simplify]: Simplify 1 into 1 0.424 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.424 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.424 * [taylor]: Taking taylor expansion of phi1 in phi1 0.424 * [backup-simplify]: Simplify 0 into 0 0.424 * [backup-simplify]: Simplify 1 into 1 0.424 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.424 * [taylor]: Taking taylor expansion of phi2 in phi1 0.424 * [backup-simplify]: Simplify phi2 into phi2 0.424 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 0.424 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 0.424 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.424 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.424 * [taylor]: Taking taylor expansion of phi1 in phi1 0.424 * [backup-simplify]: Simplify 0 into 0 0.424 * [backup-simplify]: Simplify 1 into 1 0.424 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.424 * [taylor]: Taking taylor expansion of phi2 in phi1 0.424 * [backup-simplify]: Simplify phi2 into phi2 0.424 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 0.424 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 0.425 * [backup-simplify]: Simplify (* (sin phi2) 1) into (sin phi2) 0.425 * [backup-simplify]: Simplify (* (cos phi2) 0) into 0 0.425 * [backup-simplify]: Simplify (+ (sin phi2) 0) into (sin phi2) 0.425 * [backup-simplify]: Simplify (* 0 (sin phi2)) into 0 0.425 * [taylor]: Taking taylor expansion of 0 in phi2 0.425 * [backup-simplify]: Simplify 0 into 0 0.425 * [backup-simplify]: Simplify 0 into 0 0.425 * [backup-simplify]: Simplify (+ 0) into 0 0.425 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (* 0 1)) into 0 0.426 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.426 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (* 0 0)) into 0 0.426 * [backup-simplify]: Simplify (+ 0 0) into 0 0.427 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 0.427 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin phi2))) into (sin phi2) 0.427 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.427 * [taylor]: Taking taylor expansion of phi2 in phi2 0.427 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify 1 into 1 0.427 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify 0 into 0 0.428 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.428 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (* 0 1))) into 0 0.429 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.429 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* 0 0))) into 0 0.429 * [backup-simplify]: Simplify (+ 0 0) into 0 0.430 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.430 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin phi2)))) into 0 0.430 * [taylor]: Taking taylor expansion of 0 in phi2 0.430 * [backup-simplify]: Simplify 0 into 0 0.430 * [backup-simplify]: Simplify 0 into 0 0.431 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 0.431 * [backup-simplify]: Simplify 1 into 1 0.431 * [backup-simplify]: Simplify 0 into 0 0.431 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.432 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.433 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 0.433 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 0.433 * [backup-simplify]: Simplify (+ 0 0) into 0 0.434 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 0.435 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin phi2))))) into (- (* 1/6 (sin phi2))) 0.435 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 0.435 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 0.435 * [taylor]: Taking taylor expansion of 1/6 in phi2 0.435 * [backup-simplify]: Simplify 1/6 into 1/6 0.435 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.435 * [taylor]: Taking taylor expansion of phi2 in phi2 0.435 * [backup-simplify]: Simplify 0 into 0 0.435 * [backup-simplify]: Simplify 1 into 1 0.435 * [backup-simplify]: Simplify (* 1/6 0) into 0 0.435 * [backup-simplify]: Simplify (- 0) into 0 0.435 * [backup-simplify]: Simplify 0 into 0 0.435 * [backup-simplify]: Simplify 0 into 0 0.436 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.436 * [backup-simplify]: Simplify 0 into 0 0.436 * [backup-simplify]: Simplify 0 into 0 0.437 * [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 0.437 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.438 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 0.439 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 0.439 * [backup-simplify]: Simplify (+ 0 0) into 0 0.440 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 0.441 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin phi2)))))) into 0 0.441 * [taylor]: Taking taylor expansion of 0 in phi2 0.441 * [backup-simplify]: Simplify 0 into 0 0.441 * [backup-simplify]: Simplify 0 into 0 0.441 * [backup-simplify]: Simplify (* 1 (* phi2 phi1)) into (* phi2 phi1) 0.441 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 0.441 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 0.441 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.441 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.441 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.441 * [taylor]: Taking taylor expansion of phi1 in phi2 0.441 * [backup-simplify]: Simplify phi1 into phi1 0.441 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 0.441 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 0.441 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 0.441 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.441 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.441 * [taylor]: Taking taylor expansion of phi2 in phi2 0.441 * [backup-simplify]: Simplify 0 into 0 0.441 * [backup-simplify]: Simplify 1 into 1 0.441 * [backup-simplify]: Simplify (/ 1 1) into 1 0.442 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 0.442 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.442 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.442 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.442 * [taylor]: Taking taylor expansion of phi1 in phi1 0.442 * [backup-simplify]: Simplify 0 into 0 0.442 * [backup-simplify]: Simplify 1 into 1 0.442 * [backup-simplify]: Simplify (/ 1 1) into 1 0.442 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 0.442 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.442 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.442 * [taylor]: Taking taylor expansion of phi2 in phi1 0.442 * [backup-simplify]: Simplify phi2 into phi2 0.442 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 0.442 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 0.442 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 0.442 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.442 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.442 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.442 * [taylor]: Taking taylor expansion of phi1 in phi1 0.442 * [backup-simplify]: Simplify 0 into 0 0.442 * [backup-simplify]: Simplify 1 into 1 0.442 * [backup-simplify]: Simplify (/ 1 1) into 1 0.442 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 0.442 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.442 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.443 * [taylor]: Taking taylor expansion of phi2 in phi1 0.443 * [backup-simplify]: Simplify phi2 into phi2 0.443 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 0.443 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 0.443 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 0.443 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 1) into (sin (/ 1 phi2)) 0.443 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 0) into 0 0.443 * [backup-simplify]: Simplify (+ (sin (/ 1 phi2)) 0) into (sin (/ 1 phi2)) 0.443 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 0.443 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.443 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.443 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.443 * [taylor]: Taking taylor expansion of phi1 in phi2 0.443 * [backup-simplify]: Simplify phi1 into phi1 0.443 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 0.443 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 0.443 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 0.443 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.443 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.443 * [taylor]: Taking taylor expansion of phi2 in phi2 0.443 * [backup-simplify]: Simplify 0 into 0 0.443 * [backup-simplify]: Simplify 1 into 1 0.444 * [backup-simplify]: Simplify (/ 1 1) into 1 0.444 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 0.444 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 1) into (sin (/ 1 phi1)) 0.444 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 0) into 0 0.444 * [backup-simplify]: Simplify (+ (sin (/ 1 phi1)) 0) into (sin (/ 1 phi1)) 0.444 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 0.444 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 0.444 * [backup-simplify]: Simplify (+ 0) into 0 0.445 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 1)) into 0 0.445 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 0.445 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.445 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 0)) into 0 0.446 * [backup-simplify]: Simplify (+ 0 0) into 0 0.446 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 (sin (/ 1 phi2)))) into 0 0.446 * [taylor]: Taking taylor expansion of 0 in phi2 0.446 * [backup-simplify]: Simplify 0 into 0 0.446 * [backup-simplify]: Simplify 0 into 0 0.446 * [backup-simplify]: Simplify (+ 0) into 0 0.446 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 1)) into 0 0.446 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 0.447 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.447 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 0)) into 0 0.447 * [backup-simplify]: Simplify (+ 0 0) into 0 0.447 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 (sin (/ 1 phi2)))) into 0 0.448 * [backup-simplify]: Simplify 0 into 0 0.448 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.448 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 0.449 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 0.449 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.449 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 0.449 * [backup-simplify]: Simplify (+ 0 0) into 0 0.450 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi2))))) into 0 0.450 * [taylor]: Taking taylor expansion of 0 in phi2 0.450 * [backup-simplify]: Simplify 0 into 0 0.450 * [backup-simplify]: Simplify 0 into 0 0.450 * [backup-simplify]: Simplify 0 into 0 0.450 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.451 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 0.451 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 0.451 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.452 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 0.452 * [backup-simplify]: Simplify (+ 0 0) into 0 0.452 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi2))))) into 0 0.452 * [backup-simplify]: Simplify 0 into 0 0.453 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.453 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.454 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 0.454 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 0.455 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 0.455 * [backup-simplify]: Simplify (+ 0 0) into 0 0.456 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 phi2)))))) into 0 0.456 * [taylor]: Taking taylor expansion of 0 in phi2 0.456 * [backup-simplify]: Simplify 0 into 0 0.456 * [backup-simplify]: Simplify 0 into 0 0.456 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 phi1))) (sin (/ 1 (/ 1 phi2)))) into (* (sin phi1) (sin phi2)) 0.456 * [backup-simplify]: Simplify (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 0.456 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 0.456 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.456 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.456 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.456 * [taylor]: Taking taylor expansion of -1 in phi2 0.456 * [backup-simplify]: Simplify -1 into -1 0.456 * [taylor]: Taking taylor expansion of phi1 in phi2 0.456 * [backup-simplify]: Simplify phi1 into phi1 0.456 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 0.456 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 0.456 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 0.456 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.456 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.456 * [taylor]: Taking taylor expansion of -1 in phi2 0.456 * [backup-simplify]: Simplify -1 into -1 0.456 * [taylor]: Taking taylor expansion of phi2 in phi2 0.456 * [backup-simplify]: Simplify 0 into 0 0.456 * [backup-simplify]: Simplify 1 into 1 0.457 * [backup-simplify]: Simplify (/ -1 1) into -1 0.457 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 0.457 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.457 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.457 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.457 * [taylor]: Taking taylor expansion of -1 in phi1 0.457 * [backup-simplify]: Simplify -1 into -1 0.457 * [taylor]: Taking taylor expansion of phi1 in phi1 0.457 * [backup-simplify]: Simplify 0 into 0 0.457 * [backup-simplify]: Simplify 1 into 1 0.457 * [backup-simplify]: Simplify (/ -1 1) into -1 0.457 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 0.457 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.457 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.457 * [taylor]: Taking taylor expansion of -1 in phi1 0.457 * [backup-simplify]: Simplify -1 into -1 0.457 * [taylor]: Taking taylor expansion of phi2 in phi1 0.457 * [backup-simplify]: Simplify phi2 into phi2 0.457 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 0.457 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 0.457 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 0.457 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.457 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.457 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.457 * [taylor]: Taking taylor expansion of -1 in phi1 0.457 * [backup-simplify]: Simplify -1 into -1 0.457 * [taylor]: Taking taylor expansion of phi1 in phi1 0.457 * [backup-simplify]: Simplify 0 into 0 0.457 * [backup-simplify]: Simplify 1 into 1 0.458 * [backup-simplify]: Simplify (/ -1 1) into -1 0.458 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 0.458 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.458 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.458 * [taylor]: Taking taylor expansion of -1 in phi1 0.458 * [backup-simplify]: Simplify -1 into -1 0.458 * [taylor]: Taking taylor expansion of phi2 in phi1 0.458 * [backup-simplify]: Simplify phi2 into phi2 0.458 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 0.458 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 0.458 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 0.458 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 1) into (sin (/ -1 phi2)) 0.458 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 0) into 0 0.458 * [backup-simplify]: Simplify (+ (sin (/ -1 phi2)) 0) into (sin (/ -1 phi2)) 0.458 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 0.458 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.458 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.458 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.458 * [taylor]: Taking taylor expansion of -1 in phi2 0.458 * [backup-simplify]: Simplify -1 into -1 0.458 * [taylor]: Taking taylor expansion of phi1 in phi2 0.458 * [backup-simplify]: Simplify phi1 into phi1 0.458 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 0.458 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 0.459 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 0.459 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.459 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.459 * [taylor]: Taking taylor expansion of -1 in phi2 0.459 * [backup-simplify]: Simplify -1 into -1 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 1) into -1 0.459 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 0.459 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 1) into (sin (/ -1 phi1)) 0.459 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 0) into 0 0.459 * [backup-simplify]: Simplify (+ (sin (/ -1 phi1)) 0) into (sin (/ -1 phi1)) 0.459 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 0.459 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 0.460 * [backup-simplify]: Simplify (+ 0) into 0 0.460 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 1)) into 0 0.460 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0 0.460 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.461 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 0)) into 0 0.461 * [backup-simplify]: Simplify (+ 0 0) into 0 0.461 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 0.461 * [taylor]: Taking taylor expansion of 0 in phi2 0.461 * [backup-simplify]: Simplify 0 into 0 0.461 * [backup-simplify]: Simplify 0 into 0 0.461 * [backup-simplify]: Simplify (+ 0) into 0 0.462 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 1)) into 0 0.462 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0 0.462 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.462 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 0)) into 0 0.463 * [backup-simplify]: Simplify (+ 0 0) into 0 0.463 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 0.463 * [backup-simplify]: Simplify 0 into 0 0.463 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.464 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 0.464 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 0.464 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.467 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 0.468 * [backup-simplify]: Simplify (+ 0 0) into 0 0.468 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 0.468 * [taylor]: Taking taylor expansion of 0 in phi2 0.468 * [backup-simplify]: Simplify 0 into 0 0.468 * [backup-simplify]: Simplify 0 into 0 0.468 * [backup-simplify]: Simplify 0 into 0 0.468 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.469 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 0.469 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 0.469 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.470 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 0.470 * [backup-simplify]: Simplify (+ 0 0) into 0 0.470 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 0.470 * [backup-simplify]: Simplify 0 into 0 0.471 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.471 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.471 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 0.472 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 0.473 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 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 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 0.474 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) into (* (sin phi1) (sin phi2)) 0.474 * * * [progress]: simplifying candidates 0.475 * [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)) 0.475 * [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)) 0.479 * * [simplify]: iteration 0 : 200 enodes (cost 661 ) 0.482 * * [simplify]: iteration 1 : 565 enodes (cost 569 ) 0.491 * * [simplify]: iteration 2 : 1790 enodes (cost 569 ) 0.516 * * [simplify]: iteration 3 : 5001 enodes (cost 569 ) 0.518 * * * [progress]: adding candidates to table 0.750 * * [progress]: iteration 2 / 4 0.750 * * * [progress]: picking best candidate 0.807 * * * * [pick]: Picked # 0.807 * * * [progress]: localizing error 0.839 * * * [progress]: generating rewritten candidates 0.839 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.841 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.847 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 0.858 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 2 2) 0.876 * * * [progress]: generating series expansions 0.876 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.877 * [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))))))) 0.877 * [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 0.877 * [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 0.877 * [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))))))) 0.877 * [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 0.877 * [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))))))) 0.878 * [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 0.878 * [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))))))) 0.878 * [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 0.878 * [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))))))) 0.878 * [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 0.879 * [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))))))) 0.879 * [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 0.879 * [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))))))) 0.879 * [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 0.879 * [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))))))) 0.879 * [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 0.880 * [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))))))) 0.880 * [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))))))) 0.880 * [taylor]: Taking taylor expansion of 0 in phi2 0.880 * [backup-simplify]: Simplify 0 into 0 0.880 * [taylor]: Taking taylor expansion of 0 in lambda1 0.880 * [backup-simplify]: Simplify 0 into 0 0.880 * [taylor]: Taking taylor expansion of 0 in lambda2 0.880 * [backup-simplify]: Simplify 0 into 0 0.880 * [backup-simplify]: Simplify 0 into 0 0.880 * [taylor]: Taking taylor expansion of 0 in lambda1 0.880 * [backup-simplify]: Simplify 0 into 0 0.880 * [taylor]: Taking taylor expansion of 0 in lambda2 0.880 * [backup-simplify]: Simplify 0 into 0 0.880 * [backup-simplify]: Simplify 0 into 0 0.880 * [taylor]: Taking taylor expansion of 0 in lambda2 0.881 * [backup-simplify]: Simplify 0 into 0 0.881 * [backup-simplify]: Simplify 0 into 0 0.881 * [backup-simplify]: Simplify 0 into 0 0.881 * [taylor]: Taking taylor expansion of 0 in phi2 0.881 * [backup-simplify]: Simplify 0 into 0 0.881 * [taylor]: Taking taylor expansion of 0 in lambda1 0.881 * [backup-simplify]: Simplify 0 into 0 0.881 * [taylor]: Taking taylor expansion of 0 in lambda2 0.881 * [backup-simplify]: Simplify 0 into 0 0.881 * [backup-simplify]: Simplify 0 into 0 0.881 * [taylor]: Taking taylor expansion of 0 in lambda1 0.881 * [backup-simplify]: Simplify 0 into 0 0.881 * [taylor]: Taking taylor expansion of 0 in lambda2 0.881 * [backup-simplify]: Simplify 0 into 0 0.881 * [backup-simplify]: Simplify 0 into 0 0.881 * [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))))))) 0.882 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 0.882 * [approximate]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 0.882 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 0.882 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 0.882 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 0.883 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 0.883 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 0.883 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 0.883 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 0.884 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 0.884 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 0.884 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 0.884 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 0.885 * [backup-simplify]: Simplify (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 0.885 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 0.885 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 0.885 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 0.886 * [backup-simplify]: Simplify (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 0.886 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 0.886 * [taylor]: Taking taylor expansion of 0 in phi2 0.886 * [backup-simplify]: Simplify 0 into 0 0.886 * [taylor]: Taking taylor expansion of 0 in lambda1 0.886 * [backup-simplify]: Simplify 0 into 0 0.886 * [taylor]: Taking taylor expansion of 0 in lambda2 0.886 * [backup-simplify]: Simplify 0 into 0 0.886 * [backup-simplify]: Simplify 0 into 0 0.886 * [taylor]: Taking taylor expansion of 0 in lambda1 0.886 * [backup-simplify]: Simplify 0 into 0 0.887 * [taylor]: Taking taylor expansion of 0 in lambda2 0.887 * [backup-simplify]: Simplify 0 into 0 0.887 * [backup-simplify]: Simplify 0 into 0 0.887 * [taylor]: Taking taylor expansion of 0 in lambda2 0.887 * [backup-simplify]: Simplify 0 into 0 0.887 * [backup-simplify]: Simplify 0 into 0 0.887 * [backup-simplify]: Simplify 0 into 0 0.887 * [taylor]: Taking taylor expansion of 0 in phi2 0.887 * [backup-simplify]: Simplify 0 into 0 0.887 * [taylor]: Taking taylor expansion of 0 in lambda1 0.887 * [backup-simplify]: Simplify 0 into 0 0.887 * [taylor]: Taking taylor expansion of 0 in lambda2 0.887 * [backup-simplify]: Simplify 0 into 0 0.887 * [backup-simplify]: Simplify 0 into 0 0.887 * [taylor]: Taking taylor expansion of 0 in lambda1 0.887 * [backup-simplify]: Simplify 0 into 0 0.887 * [taylor]: Taking taylor expansion of 0 in lambda2 0.887 * [backup-simplify]: Simplify 0 into 0 0.887 * [backup-simplify]: Simplify 0 into 0 0.887 * [backup-simplify]: Simplify (acos (- (+ (* (sin (/ 1 (/ 1 phi1))) (sin (/ 1 (/ 1 phi2)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi1))) (cos (/ 1 (/ 1 lambda1))))))) (* (sin (/ 1 (/ 1 lambda1))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 phi1))) (sin (- (/ 1 (/ 1 lambda2))))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 0.888 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 0.888 * [approximate]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in (phi1 phi2 lambda1 lambda2) around 0 0.888 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 0.889 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 0.889 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 0.889 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 0.889 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 0.890 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 0.890 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 0.890 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 0.890 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 0.891 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 0.891 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 0.891 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 0.891 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 0.892 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 0.892 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 0.892 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 0.893 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 0.893 * [taylor]: Taking taylor expansion of 0 in phi2 0.893 * [backup-simplify]: Simplify 0 into 0 0.893 * [taylor]: Taking taylor expansion of 0 in lambda1 0.893 * [backup-simplify]: Simplify 0 into 0 0.893 * [taylor]: Taking taylor expansion of 0 in lambda2 0.893 * [backup-simplify]: Simplify 0 into 0 0.893 * [backup-simplify]: Simplify 0 into 0 0.893 * [taylor]: Taking taylor expansion of 0 in lambda1 0.893 * [backup-simplify]: Simplify 0 into 0 0.893 * [taylor]: Taking taylor expansion of 0 in lambda2 0.893 * [backup-simplify]: Simplify 0 into 0 0.893 * [backup-simplify]: Simplify 0 into 0 0.893 * [taylor]: Taking taylor expansion of 0 in lambda2 0.893 * [backup-simplify]: Simplify 0 into 0 0.893 * [backup-simplify]: Simplify 0 into 0 0.893 * [backup-simplify]: Simplify 0 into 0 0.893 * [taylor]: Taking taylor expansion of 0 in phi2 0.893 * [backup-simplify]: Simplify 0 into 0 0.893 * [taylor]: Taking taylor expansion of 0 in lambda1 0.893 * [backup-simplify]: Simplify 0 into 0 0.893 * [taylor]: Taking taylor expansion of 0 in lambda2 0.893 * [backup-simplify]: Simplify 0 into 0 0.893 * [backup-simplify]: Simplify 0 into 0 0.893 * [taylor]: Taking taylor expansion of 0 in lambda1 0.893 * [backup-simplify]: Simplify 0 into 0 0.893 * [taylor]: Taking taylor expansion of 0 in lambda2 0.893 * [backup-simplify]: Simplify 0 into 0 0.893 * [backup-simplify]: Simplify 0 into 0 0.894 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2))))))) (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2)))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (sin (/ 1 (/ 1 (- lambda2)))) (cos (/ -1 (/ 1 (- phi2))))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) 0.894 * * * * [progress]: [ 2 / 4 ] generating series at (2) 0.894 * [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) 0.894 * [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 0.894 * [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 0.894 * [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 0.895 * [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))))))) 0.895 * [taylor]: Taking taylor expansion of R in R 0.895 * [backup-simplify]: Simplify 0 into 0 0.895 * [backup-simplify]: Simplify 1 into 1 0.895 * [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 0.895 * [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 0.895 * [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))))))) 0.895 * [taylor]: Taking taylor expansion of R in lambda2 0.895 * [backup-simplify]: Simplify R into R 0.895 * [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 0.895 * [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 0.896 * [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))))))) 0.896 * [taylor]: Taking taylor expansion of R in lambda1 0.896 * [backup-simplify]: Simplify R into R 0.896 * [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 0.896 * [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 0.896 * [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))))))) 0.896 * [taylor]: Taking taylor expansion of R in phi2 0.896 * [backup-simplify]: Simplify R into R 0.896 * [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 0.896 * [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 0.896 * [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))))))) 0.897 * [taylor]: Taking taylor expansion of R in phi1 0.897 * [backup-simplify]: Simplify R into R 0.897 * [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 0.897 * [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 0.897 * [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))))))) 0.897 * [taylor]: Taking taylor expansion of R in phi1 0.897 * [backup-simplify]: Simplify R into R 0.897 * [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) 0.897 * [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 0.897 * [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 0.898 * [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))))))) 0.898 * [taylor]: Taking taylor expansion of R in phi2 0.898 * [backup-simplify]: Simplify R into R 0.898 * [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) 0.898 * [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 0.898 * [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 0.899 * [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))))))) 0.899 * [taylor]: Taking taylor expansion of R in lambda1 0.899 * [backup-simplify]: Simplify R into R 0.899 * [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) 0.899 * [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 0.899 * [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 0.899 * [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))))))) 0.899 * [taylor]: Taking taylor expansion of R in lambda2 0.899 * [backup-simplify]: Simplify R into R 0.900 * [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) 0.900 * [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 0.900 * [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 0.900 * [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))))))) 0.900 * [taylor]: Taking taylor expansion of R in R 0.900 * [backup-simplify]: Simplify 0 into 0 0.900 * [backup-simplify]: Simplify 1 into 1 0.901 * [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 0.901 * [backup-simplify]: Simplify 0 into 0 0.901 * [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 0.901 * [taylor]: Taking taylor expansion of 0 in phi2 0.901 * [backup-simplify]: Simplify 0 into 0 0.901 * [taylor]: Taking taylor expansion of 0 in lambda1 0.901 * [backup-simplify]: Simplify 0 into 0 0.901 * [taylor]: Taking taylor expansion of 0 in lambda2 0.901 * [backup-simplify]: Simplify 0 into 0 0.901 * [taylor]: Taking taylor expansion of 0 in R 0.901 * [backup-simplify]: Simplify 0 into 0 0.901 * [backup-simplify]: Simplify 0 into 0 0.902 * [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 0.902 * [taylor]: Taking taylor expansion of 0 in lambda1 0.902 * [backup-simplify]: Simplify 0 into 0 0.902 * [taylor]: Taking taylor expansion of 0 in lambda2 0.902 * [backup-simplify]: Simplify 0 into 0 0.902 * [taylor]: Taking taylor expansion of 0 in R 0.902 * [backup-simplify]: Simplify 0 into 0 0.902 * [backup-simplify]: Simplify 0 into 0 0.902 * [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 0.902 * [taylor]: Taking taylor expansion of 0 in lambda2 0.902 * [backup-simplify]: Simplify 0 into 0 0.902 * [taylor]: Taking taylor expansion of 0 in R 0.902 * [backup-simplify]: Simplify 0 into 0 0.902 * [backup-simplify]: Simplify 0 into 0 0.903 * [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 0.903 * [taylor]: Taking taylor expansion of 0 in R 0.903 * [backup-simplify]: Simplify 0 into 0 0.903 * [backup-simplify]: Simplify 0 into 0 0.903 * [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))))))) 0.904 * [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))))))) 0.905 * [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 0.905 * [taylor]: Taking taylor expansion of 0 in phi2 0.905 * [backup-simplify]: Simplify 0 into 0 0.905 * [taylor]: Taking taylor expansion of 0 in lambda1 0.905 * [backup-simplify]: Simplify 0 into 0 0.905 * [taylor]: Taking taylor expansion of 0 in lambda2 0.905 * [backup-simplify]: Simplify 0 into 0 0.905 * [taylor]: Taking taylor expansion of 0 in R 0.905 * [backup-simplify]: Simplify 0 into 0 0.905 * [backup-simplify]: Simplify 0 into 0 0.905 * [taylor]: Taking taylor expansion of 0 in lambda1 0.905 * [backup-simplify]: Simplify 0 into 0 0.905 * [taylor]: Taking taylor expansion of 0 in lambda2 0.905 * [backup-simplify]: Simplify 0 into 0 0.905 * [taylor]: Taking taylor expansion of 0 in R 0.905 * [backup-simplify]: Simplify 0 into 0 0.905 * [backup-simplify]: Simplify 0 into 0 0.905 * [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 0.905 * [taylor]: Taking taylor expansion of 0 in lambda1 0.906 * [backup-simplify]: Simplify 0 into 0 0.906 * [taylor]: Taking taylor expansion of 0 in lambda2 0.906 * [backup-simplify]: Simplify 0 into 0 0.906 * [taylor]: Taking taylor expansion of 0 in R 0.906 * [backup-simplify]: Simplify 0 into 0 0.906 * [backup-simplify]: Simplify 0 into 0 0.906 * [taylor]: Taking taylor expansion of 0 in lambda2 0.906 * [backup-simplify]: Simplify 0 into 0 0.906 * [taylor]: Taking taylor expansion of 0 in R 0.906 * [backup-simplify]: Simplify 0 into 0 0.906 * [backup-simplify]: Simplify 0 into 0 0.906 * [taylor]: Taking taylor expansion of 0 in lambda2 0.906 * [backup-simplify]: Simplify 0 into 0 0.906 * [taylor]: Taking taylor expansion of 0 in R 0.906 * [backup-simplify]: Simplify 0 into 0 0.906 * [backup-simplify]: Simplify 0 into 0 0.906 * [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 0.906 * [taylor]: Taking taylor expansion of 0 in lambda2 0.906 * [backup-simplify]: Simplify 0 into 0 0.906 * [taylor]: Taking taylor expansion of 0 in R 0.906 * [backup-simplify]: Simplify 0 into 0 0.907 * [backup-simplify]: Simplify 0 into 0 0.907 * [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) 0.908 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))) (/ 1 R)) into (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) 0.908 * [approximate]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 0.908 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in R 0.908 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in R 0.908 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 0.908 * [taylor]: Taking taylor expansion of R in R 0.908 * [backup-simplify]: Simplify 0 into 0 0.908 * [backup-simplify]: Simplify 1 into 1 0.909 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1) into (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 0.909 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in lambda2 0.909 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 0.909 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 0.909 * [taylor]: Taking taylor expansion of R in lambda2 0.909 * [backup-simplify]: Simplify R into R 0.910 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) into (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) 0.910 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in lambda1 0.910 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 0.910 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 0.910 * [taylor]: Taking taylor expansion of R in lambda1 0.910 * [backup-simplify]: Simplify R into R 0.911 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) into (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) 0.911 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in phi2 0.911 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 0.912 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 0.912 * [taylor]: Taking taylor expansion of R in phi2 0.912 * [backup-simplify]: Simplify R into R 0.912 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) into (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) 0.912 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in phi1 0.912 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 0.913 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 0.913 * [taylor]: Taking taylor expansion of R in phi1 0.913 * [backup-simplify]: Simplify R into R 0.913 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) into (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) 0.913 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in phi1 0.913 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 0.914 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 0.914 * [taylor]: Taking taylor expansion of R in phi1 0.914 * [backup-simplify]: Simplify R into R 0.914 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) into (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) 0.914 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in phi2 0.914 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 0.915 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 0.915 * [taylor]: Taking taylor expansion of R in phi2 0.915 * [backup-simplify]: Simplify R into R 0.915 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) into (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) 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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in lambda1 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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 0.916 * [taylor]: Taking taylor expansion of R in lambda1 0.916 * [backup-simplify]: Simplify R into R 0.916 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) into (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) 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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in lambda2 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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 0.917 * [taylor]: Taking taylor expansion of R in lambda2 0.917 * [backup-simplify]: Simplify R into R 0.917 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) into (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) 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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in R 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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in R 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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 0.918 * [taylor]: Taking taylor expansion of R in R 0.918 * [backup-simplify]: Simplify 0 into 0 0.918 * [backup-simplify]: Simplify 1 into 1 0.919 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1) into (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 0.920 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) (/ 0 R)))) into 0 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 * [taylor]: Taking taylor expansion of 0 in R 0.920 * [backup-simplify]: Simplify 0 into 0 0.921 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) (/ 0 R)))) into 0 0.921 * [taylor]: Taking taylor expansion of 0 in lambda1 0.921 * [backup-simplify]: Simplify 0 into 0 0.921 * [taylor]: Taking taylor expansion of 0 in lambda2 0.921 * [backup-simplify]: Simplify 0 into 0 0.921 * [taylor]: Taking taylor expansion of 0 in R 0.921 * [backup-simplify]: Simplify 0 into 0 0.921 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) (/ 0 R)))) into 0 0.921 * [taylor]: Taking taylor expansion of 0 in lambda2 0.921 * [backup-simplify]: Simplify 0 into 0 0.921 * [taylor]: Taking taylor expansion of 0 in R 0.921 * [backup-simplify]: Simplify 0 into 0 0.922 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) (/ 0 R)))) into 0 0.922 * [taylor]: Taking taylor expansion of 0 in R 0.922 * [backup-simplify]: Simplify 0 into 0 0.923 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) (/ 0 1)))) into 0 0.923 * [backup-simplify]: Simplify 0 into 0 0.924 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 0.924 * [taylor]: Taking taylor expansion of 0 in phi2 0.924 * [backup-simplify]: Simplify 0 into 0 0.924 * [taylor]: Taking taylor expansion of 0 in lambda1 0.924 * [backup-simplify]: Simplify 0 into 0 0.924 * [taylor]: Taking taylor expansion of 0 in lambda2 0.924 * [backup-simplify]: Simplify 0 into 0 0.924 * [taylor]: Taking taylor expansion of 0 in R 0.924 * [backup-simplify]: Simplify 0 into 0 0.924 * [taylor]: Taking taylor expansion of 0 in lambda1 0.924 * [backup-simplify]: Simplify 0 into 0 0.924 * [taylor]: Taking taylor expansion of 0 in lambda2 0.924 * [backup-simplify]: Simplify 0 into 0 0.924 * [taylor]: Taking taylor expansion of 0 in R 0.924 * [backup-simplify]: Simplify 0 into 0 0.925 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 0.925 * [taylor]: Taking taylor expansion of 0 in lambda1 0.925 * [backup-simplify]: Simplify 0 into 0 0.925 * [taylor]: Taking taylor expansion of 0 in lambda2 0.925 * [backup-simplify]: Simplify 0 into 0 0.925 * [taylor]: Taking taylor expansion of 0 in R 0.925 * [backup-simplify]: Simplify 0 into 0 0.925 * [taylor]: Taking taylor expansion of 0 in lambda2 0.925 * [backup-simplify]: Simplify 0 into 0 0.925 * [taylor]: Taking taylor expansion of 0 in R 0.925 * [backup-simplify]: Simplify 0 into 0 0.925 * [taylor]: Taking taylor expansion of 0 in lambda2 0.925 * [backup-simplify]: Simplify 0 into 0 0.925 * [taylor]: Taking taylor expansion of 0 in R 0.925 * [backup-simplify]: Simplify 0 into 0 0.926 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 0.926 * [taylor]: Taking taylor expansion of 0 in lambda2 0.926 * [backup-simplify]: Simplify 0 into 0 0.926 * [taylor]: Taking taylor expansion of 0 in R 0.926 * [backup-simplify]: Simplify 0 into 0 0.926 * [taylor]: Taking taylor expansion of 0 in R 0.926 * [backup-simplify]: Simplify 0 into 0 0.926 * [taylor]: Taking taylor expansion of 0 in R 0.926 * [backup-simplify]: Simplify 0 into 0 0.926 * [taylor]: Taking taylor expansion of 0 in R 0.926 * [backup-simplify]: Simplify 0 into 0 0.926 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 0.926 * [taylor]: Taking taylor expansion of 0 in R 0.926 * [backup-simplify]: Simplify 0 into 0 0.926 * [backup-simplify]: Simplify 0 into 0 0.926 * [backup-simplify]: Simplify 0 into 0 0.927 * [backup-simplify]: Simplify 0 into 0 0.927 * [backup-simplify]: Simplify 0 into 0 0.928 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.928 * [backup-simplify]: Simplify 0 into 0 0.929 * [backup-simplify]: Simplify (* (acos (- (+ (* (sin (/ 1 (/ 1 phi1))) (sin (/ 1 (/ 1 phi2)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi1))) (cos (/ 1 (/ 1 lambda1))))))) (* (sin (/ 1 (/ 1 lambda1))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 phi1))) (sin (- (/ 1 (/ 1 lambda2))))))))) (* (/ 1 (/ 1 R)) (* 1 (* 1 (* 1 1))))) into (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) 0.929 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))) (/ 1 (- R))) into (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) 0.929 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 0.929 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in R 0.929 * [taylor]: Taking taylor expansion of -1 in R 0.929 * [backup-simplify]: Simplify -1 into -1 0.930 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in R 0.930 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in R 0.930 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 0.930 * [taylor]: Taking taylor expansion of R in R 0.930 * [backup-simplify]: Simplify 0 into 0 0.930 * [backup-simplify]: Simplify 1 into 1 0.931 * [backup-simplify]: Simplify (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 0.931 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda2 0.931 * [taylor]: Taking taylor expansion of -1 in lambda2 0.931 * [backup-simplify]: Simplify -1 into -1 0.931 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda2 0.931 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 0.931 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 0.931 * [taylor]: Taking taylor expansion of R in lambda2 0.931 * [backup-simplify]: Simplify R into R 0.932 * [backup-simplify]: Simplify (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) into (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) 0.932 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda1 0.932 * [taylor]: Taking taylor expansion of -1 in lambda1 0.932 * [backup-simplify]: Simplify -1 into -1 0.932 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda1 0.932 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 0.932 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 0.932 * [taylor]: Taking taylor expansion of R in lambda1 0.932 * [backup-simplify]: Simplify R into R 0.933 * [backup-simplify]: Simplify (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) into (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) 0.933 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi2 0.933 * [taylor]: Taking taylor expansion of -1 in phi2 0.933 * [backup-simplify]: Simplify -1 into -1 0.933 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi2 0.933 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 0.933 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 0.933 * [taylor]: Taking taylor expansion of R in phi2 0.933 * [backup-simplify]: Simplify R into R 0.934 * [backup-simplify]: Simplify (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) into (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) 0.934 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi1 0.934 * [taylor]: Taking taylor expansion of -1 in phi1 0.934 * [backup-simplify]: Simplify -1 into -1 0.934 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi1 0.934 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 0.934 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 0.934 * [taylor]: Taking taylor expansion of R in phi1 0.934 * [backup-simplify]: Simplify R into R 0.935 * [backup-simplify]: Simplify (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) into (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) 0.935 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi1 0.935 * [taylor]: Taking taylor expansion of -1 in phi1 0.935 * [backup-simplify]: Simplify -1 into -1 0.935 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi1 0.935 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 0.935 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 0.936 * [taylor]: Taking taylor expansion of R in phi1 0.936 * [backup-simplify]: Simplify R into R 0.936 * [backup-simplify]: Simplify (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) into (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) 0.937 * [backup-simplify]: Simplify (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) into (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) 0.937 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi2 0.937 * [taylor]: Taking taylor expansion of -1 in phi2 0.937 * [backup-simplify]: Simplify -1 into -1 0.937 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi2 0.937 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 0.937 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 0.937 * [taylor]: Taking taylor expansion of R in phi2 0.937 * [backup-simplify]: Simplify R into R 0.938 * [backup-simplify]: Simplify (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) into (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) 0.938 * [backup-simplify]: Simplify (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) into (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) 0.938 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda1 0.938 * [taylor]: Taking taylor expansion of -1 in lambda1 0.938 * [backup-simplify]: Simplify -1 into -1 0.938 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda1 0.938 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 0.939 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 0.939 * [taylor]: Taking taylor expansion of R in lambda1 0.939 * [backup-simplify]: Simplify R into R 0.939 * [backup-simplify]: Simplify (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) into (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) 0.940 * [backup-simplify]: Simplify (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) into (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) 0.940 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda2 0.940 * [taylor]: Taking taylor expansion of -1 in lambda2 0.940 * [backup-simplify]: Simplify -1 into -1 0.940 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda2 0.940 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 0.941 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 0.941 * [taylor]: Taking taylor expansion of R in lambda2 0.941 * [backup-simplify]: Simplify R into R 0.941 * [backup-simplify]: Simplify (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) into (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) 0.942 * [backup-simplify]: Simplify (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) into (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) 0.942 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in R 0.942 * [taylor]: Taking taylor expansion of -1 in R 0.942 * [backup-simplify]: Simplify -1 into -1 0.942 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in R 0.942 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in R 0.942 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 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 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 0.943 * [backup-simplify]: Simplify (* -1 (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) into (* -1 (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) 0.944 * [backup-simplify]: Simplify (* -1 (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) into (* -1 (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) 0.945 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) (/ 0 R)))) into 0 0.945 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R))) into 0 0.945 * [taylor]: Taking taylor expansion of 0 in phi2 0.946 * [backup-simplify]: Simplify 0 into 0 0.946 * [taylor]: Taking taylor expansion of 0 in lambda1 0.946 * [backup-simplify]: Simplify 0 into 0 0.946 * [taylor]: Taking taylor expansion of 0 in lambda2 0.946 * [backup-simplify]: Simplify 0 into 0 0.946 * [taylor]: Taking taylor expansion of 0 in R 0.946 * [backup-simplify]: Simplify 0 into 0 0.946 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) (/ 0 R)))) into 0 0.947 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R))) into 0 0.947 * [taylor]: Taking taylor expansion of 0 in lambda1 0.947 * [backup-simplify]: Simplify 0 into 0 0.947 * [taylor]: Taking taylor expansion of 0 in lambda2 0.947 * [backup-simplify]: Simplify 0 into 0 0.947 * [taylor]: Taking taylor expansion of 0 in R 0.947 * [backup-simplify]: Simplify 0 into 0 0.948 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) (/ 0 R)))) into 0 0.950 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R))) into 0 0.950 * [taylor]: Taking taylor expansion of 0 in lambda2 0.950 * [backup-simplify]: Simplify 0 into 0 0.950 * [taylor]: Taking taylor expansion of 0 in R 0.950 * [backup-simplify]: Simplify 0 into 0 0.951 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) (/ 0 R)))) into 0 0.952 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R))) into 0 0.952 * [taylor]: Taking taylor expansion of 0 in R 0.952 * [backup-simplify]: Simplify 0 into 0 0.953 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) (/ 0 1)))) into 0 0.954 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))))) into 0 0.954 * [backup-simplify]: Simplify 0 into 0 0.954 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 0.955 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)))) into 0 0.955 * [taylor]: Taking taylor expansion of 0 in phi2 0.955 * [backup-simplify]: Simplify 0 into 0 0.955 * [taylor]: Taking taylor expansion of 0 in lambda1 0.956 * [backup-simplify]: Simplify 0 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 0.956 * [taylor]: Taking taylor expansion of 0 in lambda1 0.956 * [backup-simplify]: Simplify 0 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 0.956 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 0.957 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)))) into 0 0.957 * [taylor]: Taking taylor expansion of 0 in lambda1 0.957 * [backup-simplify]: Simplify 0 into 0 0.957 * [taylor]: Taking taylor expansion of 0 in lambda2 0.957 * [backup-simplify]: Simplify 0 into 0 0.957 * [taylor]: Taking taylor expansion of 0 in R 0.957 * [backup-simplify]: Simplify 0 into 0 0.957 * [taylor]: Taking taylor expansion of 0 in lambda2 0.957 * [backup-simplify]: Simplify 0 into 0 0.957 * [taylor]: Taking taylor expansion of 0 in R 0.957 * [backup-simplify]: Simplify 0 into 0 0.957 * [taylor]: Taking taylor expansion of 0 in lambda2 0.957 * [backup-simplify]: Simplify 0 into 0 0.958 * [taylor]: Taking taylor expansion of 0 in R 0.958 * [backup-simplify]: Simplify 0 into 0 0.958 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 0.959 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)))) into 0 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 R 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 R 0.959 * [backup-simplify]: Simplify 0 into 0 0.960 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 0.961 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)))) into 0 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 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.963 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))))) into 0 0.963 * [backup-simplify]: Simplify 0 into 0 0.964 * [backup-simplify]: Simplify (* (* -1 (acos (- (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2))))))) (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2)))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (sin (/ 1 (/ 1 (- lambda2)))) (cos (/ -1 (/ 1 (- phi2)))))))))) (* (/ 1 (/ 1 (- R))) (* 1 (* 1 (* 1 1))))) into (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) R) 0.965 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 0.965 * [backup-simplify]: Simplify (* (sin phi1) (sin phi2)) into (* (sin phi1) (sin phi2)) 0.965 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 0.965 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 0.965 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 0.965 * [taylor]: Taking taylor expansion of phi1 in phi2 0.965 * [backup-simplify]: Simplify phi1 into phi1 0.965 * [backup-simplify]: Simplify (sin phi1) into (sin phi1) 0.965 * [backup-simplify]: Simplify (cos phi1) into (cos phi1) 0.965 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.965 * [taylor]: Taking taylor expansion of phi2 in phi2 0.965 * [backup-simplify]: Simplify 0 into 0 0.965 * [backup-simplify]: Simplify 1 into 1 0.965 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.965 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.965 * [taylor]: Taking taylor expansion of phi1 in phi1 0.965 * [backup-simplify]: Simplify 0 into 0 0.965 * [backup-simplify]: Simplify 1 into 1 0.965 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.965 * [taylor]: Taking taylor expansion of phi2 in phi1 0.965 * [backup-simplify]: Simplify phi2 into phi2 0.965 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 0.965 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 0.965 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.965 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.965 * [taylor]: Taking taylor expansion of phi1 in phi1 0.965 * [backup-simplify]: Simplify 0 into 0 0.965 * [backup-simplify]: Simplify 1 into 1 0.965 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.965 * [taylor]: Taking taylor expansion of phi2 in phi1 0.965 * [backup-simplify]: Simplify phi2 into phi2 0.965 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 0.965 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 0.965 * [backup-simplify]: Simplify (* (sin phi2) 1) into (sin phi2) 0.965 * [backup-simplify]: Simplify (* (cos phi2) 0) into 0 0.965 * [backup-simplify]: Simplify (+ (sin phi2) 0) into (sin phi2) 0.965 * [backup-simplify]: Simplify (* 0 (sin phi2)) into 0 0.965 * [taylor]: Taking taylor expansion of 0 in phi2 0.965 * [backup-simplify]: Simplify 0 into 0 0.965 * [backup-simplify]: Simplify 0 into 0 0.966 * [backup-simplify]: Simplify (+ 0) into 0 0.966 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (* 0 1)) into 0 0.966 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.967 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (* 0 0)) into 0 0.967 * [backup-simplify]: Simplify (+ 0 0) into 0 0.967 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 0.968 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin phi2))) into (sin phi2) 0.968 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.968 * [taylor]: Taking taylor expansion of phi2 in phi2 0.968 * [backup-simplify]: Simplify 0 into 0 0.968 * [backup-simplify]: Simplify 1 into 1 0.968 * [backup-simplify]: Simplify 0 into 0 0.968 * [backup-simplify]: Simplify 0 into 0 0.968 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.969 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (* 0 1))) into 0 0.969 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.969 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* 0 0))) into 0 0.969 * [backup-simplify]: Simplify (+ 0 0) into 0 0.970 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.970 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin phi2)))) into 0 0.970 * [taylor]: Taking taylor expansion of 0 in phi2 0.970 * [backup-simplify]: Simplify 0 into 0 0.970 * [backup-simplify]: Simplify 0 into 0 0.971 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 0.971 * [backup-simplify]: Simplify 1 into 1 0.971 * [backup-simplify]: Simplify 0 into 0 0.971 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.972 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.973 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 0.973 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 0.973 * [backup-simplify]: Simplify (+ 0 0) into 0 0.974 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 0.975 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin phi2))))) into (- (* 1/6 (sin phi2))) 0.975 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 0.975 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 0.975 * [taylor]: Taking taylor expansion of 1/6 in phi2 0.975 * [backup-simplify]: Simplify 1/6 into 1/6 0.975 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.975 * [taylor]: Taking taylor expansion of phi2 in phi2 0.975 * [backup-simplify]: Simplify 0 into 0 0.975 * [backup-simplify]: Simplify 1 into 1 0.975 * [backup-simplify]: Simplify (* 1/6 0) into 0 0.975 * [backup-simplify]: Simplify (- 0) into 0 0.975 * [backup-simplify]: Simplify 0 into 0 0.975 * [backup-simplify]: Simplify 0 into 0 0.976 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.976 * [backup-simplify]: Simplify 0 into 0 0.976 * [backup-simplify]: Simplify 0 into 0 0.977 * [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 0.977 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.978 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 0.979 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 0.979 * [backup-simplify]: Simplify (+ 0 0) into 0 0.980 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 0.981 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin phi2)))))) into 0 0.981 * [taylor]: Taking taylor expansion of 0 in phi2 0.981 * [backup-simplify]: Simplify 0 into 0 0.981 * [backup-simplify]: Simplify 0 into 0 0.981 * [backup-simplify]: Simplify (* 1 (* phi2 phi1)) into (* phi2 phi1) 0.981 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 0.981 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 0.981 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.981 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.981 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.981 * [taylor]: Taking taylor expansion of phi1 in phi2 0.981 * [backup-simplify]: Simplify phi1 into phi1 0.981 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 0.981 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 0.981 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 0.981 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.981 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.981 * [taylor]: Taking taylor expansion of phi2 in phi2 0.981 * [backup-simplify]: Simplify 0 into 0 0.981 * [backup-simplify]: Simplify 1 into 1 0.981 * [backup-simplify]: Simplify (/ 1 1) into 1 0.981 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 0.981 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.981 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.981 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.981 * [taylor]: Taking taylor expansion of phi1 in phi1 0.981 * [backup-simplify]: Simplify 0 into 0 0.981 * [backup-simplify]: Simplify 1 into 1 0.982 * [backup-simplify]: Simplify (/ 1 1) into 1 0.982 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 0.982 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.982 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.982 * [taylor]: Taking taylor expansion of phi2 in phi1 0.982 * [backup-simplify]: Simplify phi2 into phi2 0.982 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 0.982 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 0.982 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 0.982 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.982 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.982 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.982 * [taylor]: Taking taylor expansion of phi1 in phi1 0.982 * [backup-simplify]: Simplify 0 into 0 0.982 * [backup-simplify]: Simplify 1 into 1 0.982 * [backup-simplify]: Simplify (/ 1 1) into 1 0.982 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 0.982 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.982 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.982 * [taylor]: Taking taylor expansion of phi2 in phi1 0.982 * [backup-simplify]: Simplify phi2 into phi2 0.982 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 0.982 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 0.982 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 0.983 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 1) into (sin (/ 1 phi2)) 0.983 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 0) into 0 0.983 * [backup-simplify]: Simplify (+ (sin (/ 1 phi2)) 0) into (sin (/ 1 phi2)) 0.983 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 0.983 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.983 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.983 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.983 * [taylor]: Taking taylor expansion of phi1 in phi2 0.983 * [backup-simplify]: Simplify phi1 into phi1 0.983 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 0.983 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 0.983 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 0.983 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.983 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.983 * [taylor]: Taking taylor expansion of phi2 in phi2 0.983 * [backup-simplify]: Simplify 0 into 0 0.983 * [backup-simplify]: Simplify 1 into 1 0.983 * [backup-simplify]: Simplify (/ 1 1) into 1 0.983 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 0.983 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 1) into (sin (/ 1 phi1)) 0.983 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 0) into 0 0.983 * [backup-simplify]: Simplify (+ (sin (/ 1 phi1)) 0) into (sin (/ 1 phi1)) 0.984 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 0.984 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 0.984 * [backup-simplify]: Simplify (+ 0) into 0 0.984 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 1)) into 0 0.984 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 0.985 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.985 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 0)) into 0 0.985 * [backup-simplify]: Simplify (+ 0 0) into 0 0.985 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 (sin (/ 1 phi2)))) into 0 0.985 * [taylor]: Taking taylor expansion of 0 in phi2 0.985 * [backup-simplify]: Simplify 0 into 0 0.985 * [backup-simplify]: Simplify 0 into 0 0.986 * [backup-simplify]: Simplify (+ 0) into 0 0.986 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 1)) into 0 0.986 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 0.986 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.987 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 0)) into 0 0.987 * [backup-simplify]: Simplify (+ 0 0) into 0 0.987 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 (sin (/ 1 phi2)))) into 0 0.987 * [backup-simplify]: Simplify 0 into 0 0.987 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.988 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 0.988 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 0.988 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.989 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 0.989 * [backup-simplify]: Simplify (+ 0 0) into 0 0.989 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi2))))) into 0 0.989 * [taylor]: Taking taylor expansion of 0 in phi2 0.989 * [backup-simplify]: Simplify 0 into 0 0.989 * [backup-simplify]: Simplify 0 into 0 0.989 * [backup-simplify]: Simplify 0 into 0 0.990 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.990 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 0.990 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 0.991 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.991 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 0.991 * [backup-simplify]: Simplify (+ 0 0) into 0 0.992 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi2))))) into 0 0.992 * [backup-simplify]: Simplify 0 into 0 0.992 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.993 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.993 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 0.994 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 0.994 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 0.994 * [backup-simplify]: Simplify (+ 0 0) into 0 0.995 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 phi2)))))) into 0 0.995 * [taylor]: Taking taylor expansion of 0 in phi2 0.995 * [backup-simplify]: Simplify 0 into 0 0.995 * [backup-simplify]: Simplify 0 into 0 0.995 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 phi1))) (sin (/ 1 (/ 1 phi2)))) into (* (sin phi1) (sin phi2)) 0.995 * [backup-simplify]: Simplify (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 0.995 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 0.995 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.995 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.995 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.995 * [taylor]: Taking taylor expansion of -1 in phi2 0.995 * [backup-simplify]: Simplify -1 into -1 0.995 * [taylor]: Taking taylor expansion of phi1 in phi2 0.995 * [backup-simplify]: Simplify phi1 into phi1 0.995 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 0.995 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 0.995 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 0.995 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.995 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.995 * [taylor]: Taking taylor expansion of -1 in phi2 0.995 * [backup-simplify]: Simplify -1 into -1 0.995 * [taylor]: Taking taylor expansion of phi2 in phi2 0.995 * [backup-simplify]: Simplify 0 into 0 0.995 * [backup-simplify]: Simplify 1 into 1 0.996 * [backup-simplify]: Simplify (/ -1 1) into -1 0.996 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 0.996 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.996 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.996 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.996 * [taylor]: Taking taylor expansion of -1 in phi1 0.996 * [backup-simplify]: Simplify -1 into -1 0.996 * [taylor]: Taking taylor expansion of phi1 in phi1 0.996 * [backup-simplify]: Simplify 0 into 0 0.996 * [backup-simplify]: Simplify 1 into 1 0.996 * [backup-simplify]: Simplify (/ -1 1) into -1 0.996 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 0.996 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.996 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.996 * [taylor]: Taking taylor expansion of -1 in phi1 0.996 * [backup-simplify]: Simplify -1 into -1 0.996 * [taylor]: Taking taylor expansion of phi2 in phi1 0.996 * [backup-simplify]: Simplify phi2 into phi2 0.996 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 0.996 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 0.996 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 0.996 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.996 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.996 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.996 * [taylor]: Taking taylor expansion of -1 in phi1 0.996 * [backup-simplify]: Simplify -1 into -1 0.997 * [taylor]: Taking taylor expansion of phi1 in phi1 0.997 * [backup-simplify]: Simplify 0 into 0 0.997 * [backup-simplify]: Simplify 1 into 1 0.997 * [backup-simplify]: Simplify (/ -1 1) into -1 0.997 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 0.997 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.997 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.997 * [taylor]: Taking taylor expansion of -1 in phi1 0.997 * [backup-simplify]: Simplify -1 into -1 0.997 * [taylor]: Taking taylor expansion of phi2 in phi1 0.997 * [backup-simplify]: Simplify phi2 into phi2 0.997 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 0.997 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 0.997 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 0.997 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 1) into (sin (/ -1 phi2)) 0.997 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 0) into 0 0.997 * [backup-simplify]: Simplify (+ (sin (/ -1 phi2)) 0) into (sin (/ -1 phi2)) 0.997 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 0.997 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.997 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.997 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.997 * [taylor]: Taking taylor expansion of -1 in phi2 0.997 * [backup-simplify]: Simplify -1 into -1 0.997 * [taylor]: Taking taylor expansion of phi1 in phi2 0.997 * [backup-simplify]: Simplify phi1 into phi1 0.998 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 0.998 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 0.998 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 0.998 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.998 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.998 * [taylor]: Taking taylor expansion of -1 in phi2 0.998 * [backup-simplify]: Simplify -1 into -1 0.998 * [taylor]: Taking taylor expansion of phi2 in phi2 0.998 * [backup-simplify]: Simplify 0 into 0 0.998 * [backup-simplify]: Simplify 1 into 1 0.998 * [backup-simplify]: Simplify (/ -1 1) into -1 0.998 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 0.998 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 1) into (sin (/ -1 phi1)) 0.998 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 0) into 0 0.998 * [backup-simplify]: Simplify (+ (sin (/ -1 phi1)) 0) into (sin (/ -1 phi1)) 0.998 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 0.998 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 0.999 * [backup-simplify]: Simplify (+ 0) into 0 0.999 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 1)) into 0 0.999 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0 0.999 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.000 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 0)) into 0 1.000 * [backup-simplify]: Simplify (+ 0 0) into 0 1.000 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 1.000 * [taylor]: Taking taylor expansion of 0 in phi2 1.000 * [backup-simplify]: Simplify 0 into 0 1.000 * [backup-simplify]: Simplify 0 into 0 1.000 * [backup-simplify]: Simplify (+ 0) into 0 1.001 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 1)) into 0 1.001 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0 1.001 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.001 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 0)) into 0 1.002 * [backup-simplify]: Simplify (+ 0 0) into 0 1.002 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 1.002 * [backup-simplify]: Simplify 0 into 0 1.002 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.003 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 1.003 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.003 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.003 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 1.004 * [backup-simplify]: Simplify (+ 0 0) into 0 1.004 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 1.004 * [taylor]: Taking taylor expansion of 0 in phi2 1.004 * [backup-simplify]: Simplify 0 into 0 1.004 * [backup-simplify]: Simplify 0 into 0 1.004 * [backup-simplify]: Simplify 0 into 0 1.005 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.005 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 1.005 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1.005 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.006 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 1.006 * [backup-simplify]: Simplify (+ 0 0) into 0 1.006 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 1.006 * [backup-simplify]: Simplify 0 into 0 1.007 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.007 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.008 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.008 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.009 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.009 * [backup-simplify]: Simplify (+ 0 0) into 0 1.009 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2)))))) into 0 1.009 * [taylor]: Taking taylor expansion of 0 in phi2 1.009 * [backup-simplify]: Simplify 0 into 0 1.009 * [backup-simplify]: Simplify 0 into 0 1.010 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) into (* (sin phi1) (sin phi2)) 1.010 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 2 2) 1.010 * [backup-simplify]: Simplify (* (sin lambda1) (sin (- lambda2))) into (* (sin lambda1) (sin (- lambda2))) 1.010 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in (lambda1 lambda2) around 0 1.010 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda2 1.010 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 1.010 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.010 * [backup-simplify]: Simplify lambda1 into lambda1 1.010 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 1.010 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 1.010 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 1.010 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 1.010 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.010 * [backup-simplify]: Simplify 0 into 0 1.010 * [backup-simplify]: Simplify 1 into 1 1.010 * [backup-simplify]: Simplify (- 0) into 0 1.010 * [backup-simplify]: Simplify (- 1) into -1 1.010 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda1 1.010 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.010 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.010 * [backup-simplify]: Simplify 0 into 0 1.011 * [backup-simplify]: Simplify 1 into 1 1.011 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda1 1.011 * [taylor]: Taking taylor expansion of (- lambda2) in lambda1 1.011 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.011 * [backup-simplify]: Simplify lambda2 into lambda2 1.011 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 1.011 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 1.011 * [backup-simplify]: Simplify (sin (- lambda2)) into (sin (- lambda2)) 1.011 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 1.011 * [backup-simplify]: Simplify (cos (- lambda2)) into (cos (- lambda2)) 1.011 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda1 1.011 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.011 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.011 * [backup-simplify]: Simplify 0 into 0 1.011 * [backup-simplify]: Simplify 1 into 1 1.011 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda1 1.011 * [taylor]: Taking taylor expansion of (- lambda2) in lambda1 1.011 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.011 * [backup-simplify]: Simplify lambda2 into lambda2 1.011 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 1.011 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 1.011 * [backup-simplify]: Simplify (sin (- lambda2)) into (sin (- lambda2)) 1.011 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 1.011 * [backup-simplify]: Simplify (cos (- lambda2)) into (cos (- lambda2)) 1.011 * [backup-simplify]: Simplify (* (sin (- lambda2)) 1) into (sin (- lambda2)) 1.011 * [backup-simplify]: Simplify (* (cos (- lambda2)) 0) into 0 1.011 * [backup-simplify]: Simplify (+ (sin (- lambda2)) 0) into (sin (- lambda2)) 1.011 * [backup-simplify]: Simplify (* 0 (sin (- lambda2))) into 0 1.011 * [taylor]: Taking taylor expansion of 0 in lambda2 1.011 * [backup-simplify]: Simplify 0 into 0 1.011 * [backup-simplify]: Simplify 0 into 0 1.012 * [backup-simplify]: Simplify (+ 0) into 0 1.012 * [backup-simplify]: Simplify (+ (* (sin (- lambda2)) 0) (* 0 1)) into 0 1.012 * [backup-simplify]: Simplify (- 0) into 0 1.012 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.013 * [backup-simplify]: Simplify (+ (* (cos (- lambda2)) 0) (* 0 0)) into 0 1.013 * [backup-simplify]: Simplify (+ 0 0) into 0 1.013 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.014 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (- lambda2)))) into (sin (- lambda2)) 1.014 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 1.014 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 1.014 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.014 * [backup-simplify]: Simplify 0 into 0 1.014 * [backup-simplify]: Simplify 1 into 1 1.014 * [backup-simplify]: Simplify (- 0) into 0 1.014 * [backup-simplify]: Simplify (- 1) into -1 1.014 * [backup-simplify]: Simplify 0 into 0 1.014 * [backup-simplify]: Simplify 0 into 0 1.014 * [backup-simplify]: Simplify (- 0) into 0 1.015 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.015 * [backup-simplify]: Simplify (+ (* (sin (- lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 1.015 * [backup-simplify]: Simplify (- 0) into 0 1.016 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.016 * [backup-simplify]: Simplify (+ (* (cos (- lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 1.016 * [backup-simplify]: Simplify (+ 0 0) into 0 1.017 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.017 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 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 1.018 * [backup-simplify]: Simplify (- 1) into -1 1.018 * [backup-simplify]: Simplify (+ (* 1 (/ (pow -1 1) 1))) into -1 1.018 * [backup-simplify]: Simplify -1 into -1 1.018 * [backup-simplify]: Simplify 0 into 0 1.018 * [backup-simplify]: Simplify (- 0) into 0 1.018 * [backup-simplify]: Simplify (- 0) into 0 1.019 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.019 * [backup-simplify]: Simplify (+ (* (sin (- lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.020 * [backup-simplify]: Simplify (- 0) into 0 1.020 * [backup-simplify]: Simplify (- 0) into 0 1.021 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.021 * [backup-simplify]: Simplify (+ (* (cos (- lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.021 * [backup-simplify]: Simplify (+ 0 0) into 0 1.022 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 1.023 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin (- lambda2)))))) into (- (* 1/6 (sin (- lambda2)))) 1.023 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin (- lambda2)))) in lambda2 1.023 * [taylor]: Taking taylor expansion of (* 1/6 (sin (- lambda2))) in lambda2 1.023 * [taylor]: Taking taylor expansion of 1/6 in lambda2 1.023 * [backup-simplify]: Simplify 1/6 into 1/6 1.023 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 1.023 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 1.023 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.023 * [backup-simplify]: Simplify 0 into 0 1.023 * [backup-simplify]: Simplify 1 into 1 1.023 * [backup-simplify]: Simplify (- 0) into 0 1.023 * [backup-simplify]: Simplify (- 1) into -1 1.024 * [backup-simplify]: Simplify (* 1/6 0) into 0 1.024 * [backup-simplify]: Simplify (- 0) into 0 1.024 * [backup-simplify]: Simplify 0 into 0 1.024 * [backup-simplify]: Simplify 0 into 0 1.024 * [backup-simplify]: Simplify (- 0) into 0 1.024 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.024 * [backup-simplify]: Simplify 0 into 0 1.024 * [backup-simplify]: Simplify 0 into 0 1.025 * [backup-simplify]: Simplify (- 0) into 0 1.025 * [backup-simplify]: Simplify (- 0) into 0 1.025 * [backup-simplify]: Simplify (- 0) into 0 1.025 * [backup-simplify]: Simplify (- 0) into 0 1.026 * [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 1.027 * [backup-simplify]: Simplify (+ (* (sin (- lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.027 * [backup-simplify]: Simplify (- 0) into 0 1.027 * [backup-simplify]: Simplify (- 0) into 0 1.028 * [backup-simplify]: Simplify (- 0) into 0 1.028 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.029 * [backup-simplify]: Simplify (+ (* (cos (- lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 1.029 * [backup-simplify]: Simplify (+ 0 0) into 0 1.030 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.031 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin (- 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 (* -1 (* lambda2 lambda1)) into (* -1 (* lambda2 lambda1)) 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 lambda1 in lambda2 1.031 * [backup-simplify]: Simplify lambda1 into lambda1 1.031 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.031 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 1.031 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 1.031 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda2 1.031 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda2 1.031 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.031 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.031 * [backup-simplify]: Simplify 0 into 0 1.031 * [backup-simplify]: Simplify 1 into 1 1.031 * [backup-simplify]: Simplify (/ 1 1) into 1 1.032 * [backup-simplify]: Simplify (- 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 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 1.032 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 1.032 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda1 1.032 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda1 1.032 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.032 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.032 * [backup-simplify]: Simplify lambda2 into lambda2 1.032 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.032 * [backup-simplify]: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) 1.032 * [backup-simplify]: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) 1.032 * [backup-simplify]: Simplify (sin (- (/ 1 lambda2))) into (sin (- (/ 1 lambda2))) 1.032 * [backup-simplify]: Simplify (- (/ 1 lambda2)) into (- (/ 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 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 lambda2) in lambda1 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 (- (/ 1 lambda2)) into (- (/ 1 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 (- (/ 1 lambda2)) into (- (/ 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))) 1.033 * [backup-simplify]: Simplify (* (cos (- (/ 1 lambda2))) 0) into 0 1.033 * [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 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 lambda2) in lambda2 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 (- 1) into -1 1.034 * [backup-simplify]: Simplify (sin (- (/ 1 lambda2))) into (sin (- (/ 1 lambda2))) 1.035 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) 1) into (sin (/ 1 lambda1)) 1.035 * [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 (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 1.036 * [backup-simplify]: Simplify (- 0) 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 1.037 * [backup-simplify]: Simplify (+ 0 0) into 0 1.037 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 (sin (- (/ 1 lambda2))))) into 0 1.037 * [taylor]: Taking taylor expansion of 0 in lambda2 1.037 * [backup-simplify]: Simplify 0 into 0 1.037 * [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 (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0 1.038 * [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 (- 0) into 0 1.039 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.042 * [backup-simplify]: Simplify (+ (* (sin (- (/ 1 lambda2))) 0) (+ (* 0 0) (* 0 1))) into 0 1.042 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 1.042 * [backup-simplify]: Simplify (- 0) into 0 1.043 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.043 * [backup-simplify]: Simplify (+ (* (cos (- (/ 1 lambda2))) 0) (+ (* 0 0) (* 0 0))) into 0 1.043 * [backup-simplify]: Simplify (+ 0 0) into 0 1.044 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (- (/ 1 lambda2)))))) into 0 1.044 * [taylor]: Taking taylor expansion of 0 in lambda2 1.044 * [backup-simplify]: Simplify 0 into 0 1.044 * [backup-simplify]: Simplify 0 into 0 1.044 * [backup-simplify]: Simplify 0 into 0 1.044 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.045 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 1.045 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 1.045 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.046 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 1.046 * [backup-simplify]: Simplify (+ 0 0) into 0 1.046 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (- (/ 1 lambda2)))))) into 0 1.046 * [backup-simplify]: Simplify 0 into 0 1.046 * [backup-simplify]: Simplify (- 0) into 0 1.047 * [backup-simplify]: Simplify (- 0) into 0 1.047 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.048 * [backup-simplify]: Simplify (+ (* (sin (- (/ 1 lambda2))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.048 * [backup-simplify]: Simplify (- 0) into 0 1.048 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 1.048 * [backup-simplify]: Simplify (- 0) into 0 1.049 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.049 * [backup-simplify]: Simplify (+ (* (cos (- (/ 1 lambda2))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.049 * [backup-simplify]: Simplify (+ 0 0) into 0 1.050 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (- (/ 1 lambda2))))))) into 0 1.050 * [taylor]: Taking taylor expansion of 0 in lambda2 1.050 * [backup-simplify]: Simplify 0 into 0 1.050 * [backup-simplify]: Simplify 0 into 0 1.050 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 lambda1))) (sin (- (/ 1 (/ 1 lambda2))))) into (* (sin lambda1) (sin (- lambda2))) 1.050 * [backup-simplify]: Simplify (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))) into (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) 1.050 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in (lambda1 lambda2) around 0 1.050 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.050 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.050 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.050 * [taylor]: Taking taylor expansion of -1 in lambda2 1.050 * [backup-simplify]: Simplify -1 into -1 1.050 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.050 * [backup-simplify]: Simplify lambda1 into lambda1 1.051 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 1.051 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 1.051 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 1.051 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.051 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.051 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.051 * [backup-simplify]: Simplify 0 into 0 1.051 * [backup-simplify]: Simplify 1 into 1 1.051 * [backup-simplify]: Simplify (/ 1 1) into 1 1.051 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 1.051 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.051 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.051 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.051 * [taylor]: Taking taylor expansion of -1 in lambda1 1.051 * [backup-simplify]: Simplify -1 into -1 1.051 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.051 * [backup-simplify]: Simplify 0 into 0 1.051 * [backup-simplify]: Simplify 1 into 1 1.051 * [backup-simplify]: Simplify (/ -1 1) into -1 1.051 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 1.051 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.051 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.051 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.051 * [backup-simplify]: Simplify lambda2 into lambda2 1.051 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.052 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 1.052 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 1.052 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.052 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.052 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.052 * [taylor]: Taking taylor expansion of -1 in lambda1 1.052 * [backup-simplify]: Simplify -1 into -1 1.052 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.052 * [backup-simplify]: Simplify 0 into 0 1.052 * [backup-simplify]: Simplify 1 into 1 1.052 * [backup-simplify]: Simplify (/ -1 1) into -1 1.052 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 1.052 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.052 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.052 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.052 * [backup-simplify]: Simplify lambda2 into lambda2 1.052 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.052 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 1.052 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 1.052 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) 1) into (sin (/ 1 lambda2)) 1.052 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) 0) into 0 1.052 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda2)) 0) into (sin (/ 1 lambda2)) 1.052 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) 1.053 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.053 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.053 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.053 * [taylor]: Taking taylor expansion of -1 in lambda2 1.053 * [backup-simplify]: Simplify -1 into -1 1.053 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.053 * [backup-simplify]: Simplify lambda1 into lambda1 1.053 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 1.053 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 1.053 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 1.053 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.053 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.053 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.053 * [backup-simplify]: Simplify 0 into 0 1.053 * [backup-simplify]: Simplify 1 into 1 1.053 * [backup-simplify]: Simplify (/ 1 1) into 1 1.053 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 1.053 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) 1) into (sin (/ -1 lambda1)) 1.053 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) 0) into 0 1.053 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda1)) 0) into (sin (/ -1 lambda1)) 1.053 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) 1.053 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) 1.054 * [backup-simplify]: Simplify (+ 0) into 0 1.054 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 1)) into 0 1.054 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 1.054 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.055 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 0)) into 0 1.055 * [backup-simplify]: Simplify (+ 0 0) into 0 1.055 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ 1 lambda2)))) into 0 1.055 * [taylor]: Taking taylor expansion of 0 in lambda2 1.055 * [backup-simplify]: Simplify 0 into 0 1.055 * [backup-simplify]: Simplify 0 into 0 1.055 * [backup-simplify]: Simplify (+ 0) into 0 1.056 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 1)) into 0 1.056 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)))) into 0 1.056 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.056 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 0)) into 0 1.057 * [backup-simplify]: Simplify (+ 0 0) into 0 1.057 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ 1 lambda2)))) into 0 1.057 * [backup-simplify]: Simplify 0 into 0 1.057 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.058 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 1.058 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 1.058 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.059 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 1.059 * [backup-simplify]: Simplify (+ 0 0) into 0 1.059 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda2))))) into 0 1.059 * [taylor]: Taking taylor expansion of 0 in lambda2 1.059 * [backup-simplify]: Simplify 0 into 0 1.059 * [backup-simplify]: Simplify 0 into 0 1.059 * [backup-simplify]: Simplify 0 into 0 1.060 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.060 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 1.060 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 1.061 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.061 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 1.061 * [backup-simplify]: Simplify (+ 0 0) into 0 1.061 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda2))))) into 0 1.061 * [backup-simplify]: Simplify 0 into 0 1.062 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.062 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.063 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 1.063 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.064 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.064 * [backup-simplify]: Simplify (+ 0 0) into 0 1.064 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda2)))))) into 0 1.065 * [taylor]: Taking taylor expansion of 0 in lambda2 1.065 * [backup-simplify]: Simplify 0 into 0 1.065 * [backup-simplify]: Simplify 0 into 0 1.065 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- lambda1)))) (sin (/ 1 (/ 1 (- lambda2))))) into (* (sin lambda1) (sin (* -1 lambda2))) 1.065 * * * [progress]: simplifying candidates 1.066 * [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 (- 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)) (- (cos (- lambda1 (- lambda2))) (cos (+ lambda1 (- lambda2)))) (* (sin lambda1) (sin (- lambda2))) (+ (log (sin lambda1)) (log (sin (- lambda2)))) (log (* (sin lambda1) (sin (- lambda2)))) (exp (* (sin lambda1) (sin (- lambda2)))) (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin (- lambda2)) (sin (- lambda2))) (sin (- lambda2)))) (* (cbrt (* (sin lambda1) (sin (- lambda2)))) (cbrt (* (sin lambda1) (sin (- lambda2))))) (cbrt (* (sin lambda1) (sin (- lambda2)))) (* (* (* (sin lambda1) (sin (- lambda2))) (* (sin lambda1) (sin (- lambda2)))) (* (sin lambda1) (sin (- lambda2)))) (sqrt (* (sin lambda1) (sin (- lambda2)))) (sqrt (* (sin lambda1) (sin (- lambda2)))) (* (sqrt (sin lambda1)) (sqrt (sin (- lambda2)))) (* (sqrt (sin lambda1)) (sqrt (sin (- lambda2)))) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (* (cbrt (sin (- lambda2))) (cbrt (sin (- lambda2))))) (* (sin lambda1) (sqrt (sin (- lambda2)))) (* (sin lambda1) 1) (* (cbrt (sin lambda1)) (sin (- lambda2))) (* (sqrt (sin lambda1)) (sin (- lambda2))) (* (sin lambda1) (sin (- lambda2))) (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) R) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (* -1 (* lambda2 lambda1)) (* (sin lambda1) (sin (- lambda2))) (* (sin lambda1) (sin (* -1 lambda2))) 1.066 * [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 (- 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)) (- (cos (- h2 (- h1))) (cos (+ h2 (- h1)))) (* (sin h2) (sin (- h1))) (+ (log (sin h2)) (log (sin (- h1)))) (log (* (sin h2) (sin (- h1)))) (exp (* (sin h2) (sin (- h1)))) (* (* (* (sin h2) (sin h2)) (sin h2)) (* (* (sin (- h1)) (sin (- h1))) (sin (- h1)))) (* (cbrt (* (sin h2) (sin (- h1)))) (cbrt (* (sin h2) (sin (- h1))))) (cbrt (* (sin h2) (sin (- h1)))) (* (* (* (sin h2) (sin (- h1))) (* (sin h2) (sin (- h1)))) (* (sin h2) (sin (- h1)))) (sqrt (* (sin h2) (sin (- h1)))) (sqrt (* (sin h2) (sin (- h1)))) (* (sqrt (sin h2)) (sqrt (sin (- h1)))) (* (sqrt (sin h2)) (sqrt (sin (- h1)))) (* (sin h2) (sin h1)) (* (sin h2) (* (cbrt (sin (- h1))) (cbrt (sin (- h1))))) (* (sin h2) (sqrt (sin (- h1)))) (* (sin h2) 1) (* (cbrt (sin h2)) (sin (- h1))) (* (sqrt (sin h2)) (sin (- h1))) (* (sin h2) (sin (- h1))) (acos (- (+ (* (sin h4) (sin h3)) (* (cos h2) (* (cos h4) (* (cos h3) (cos h1))))) (* (sin h2) (* (cos h4) (* (cos h3) (sin (- h1))))))) (acos (- (+ (* (sin h4) (sin h3)) (* (cos h2) (* (cos h4) (* (cos h3) (cos h1))))) (* (sin h2) (* (cos h4) (* (cos h3) (sin (- h1))))))) (acos (- (+ (* (sin h4) (sin h3)) (* (cos h2) (* (cos h4) (* (cos h3) (cos h1))))) (* (sin h2) (* (cos h4) (* (cos h3) (sin (* -1 h1))))))) (* (acos (- (+ (* (sin h4) (sin h3)) (* (cos h2) (* (cos h4) (* (cos h3) (cos h1))))) (* (sin h2) (* (cos h4) (* (cos h3) (sin (- h1))))))) h5) (* (acos (- (+ (* (sin h4) (sin h3)) (* (cos h2) (* (cos h4) (* (cos h3) (cos h1))))) (* (sin h2) (* (cos h4) (* (cos h3) (sin (- h1))))))) h5) (* (acos (- (+ (* (sin h4) (sin h3)) (* (cos h2) (* (cos h4) (* (cos h3) (cos h1))))) (* (sin h2) (* (cos h4) (* (cos h3) (sin (* -1 h1))))))) h5) (* h3 h4) (* (sin h4) (sin h3)) (* (sin h4) (sin h3)) (* -1 (* h1 h2)) (* (sin h2) (sin (- h1))) (* (sin h2) (sin (* -1 h1))) 1.071 * * [simplify]: iteration 0 : 281 enodes (cost 1000 ) 1.075 * * [simplify]: iteration 1 : 916 enodes (cost 859 ) 1.088 * * [simplify]: iteration 2 : 2499 enodes (cost 835 ) 1.119 * * [simplify]: iteration 3 : 5001 enodes (cost 835 ) 1.122 * * * [progress]: adding candidates to table 1.449 * * [progress]: iteration 3 / 4 1.449 * * * [progress]: picking best candidate 1.539 * * * * [pick]: Picked # 1.539 * * * [progress]: localizing error 1.574 * * * [progress]: generating rewritten candidates 1.574 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 1.576 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.581 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 1.587 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.605 * * * [progress]: generating series expansions 1.605 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 1.606 * [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))))))) 1.606 * [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 1.606 * [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 1.606 * [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))))))) 1.606 * [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 1.607 * [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))))))) 1.607 * [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 1.608 * [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))))))) 1.608 * [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 1.608 * [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))))))) 1.608 * [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 1.609 * [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))))))) 1.609 * [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 1.610 * [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))))))) 1.610 * [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 1.610 * [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))))))) 1.611 * [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 1.611 * [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))))))) 1.612 * [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))))))) 1.612 * [taylor]: Taking taylor expansion of 0 in phi2 1.612 * [backup-simplify]: Simplify 0 into 0 1.612 * [taylor]: Taking taylor expansion of 0 in lambda1 1.612 * [backup-simplify]: Simplify 0 into 0 1.612 * [taylor]: Taking taylor expansion of 0 in lambda2 1.612 * [backup-simplify]: Simplify 0 into 0 1.612 * [backup-simplify]: Simplify 0 into 0 1.612 * [taylor]: Taking taylor expansion of 0 in lambda1 1.612 * [backup-simplify]: Simplify 0 into 0 1.612 * [taylor]: Taking taylor expansion of 0 in lambda2 1.612 * [backup-simplify]: Simplify 0 into 0 1.612 * [backup-simplify]: Simplify 0 into 0 1.612 * [taylor]: Taking taylor expansion of 0 in lambda2 1.612 * [backup-simplify]: Simplify 0 into 0 1.612 * [backup-simplify]: Simplify 0 into 0 1.612 * [backup-simplify]: Simplify 0 into 0 1.612 * [taylor]: Taking taylor expansion of 0 in phi2 1.613 * [backup-simplify]: Simplify 0 into 0 1.613 * [taylor]: Taking taylor expansion of 0 in lambda1 1.613 * [backup-simplify]: Simplify 0 into 0 1.613 * [taylor]: Taking taylor expansion of 0 in lambda2 1.613 * [backup-simplify]: Simplify 0 into 0 1.613 * [backup-simplify]: Simplify 0 into 0 1.613 * [taylor]: Taking taylor expansion of 0 in lambda1 1.613 * [backup-simplify]: Simplify 0 into 0 1.613 * [taylor]: Taking taylor expansion of 0 in lambda2 1.613 * [backup-simplify]: Simplify 0 into 0 1.613 * [backup-simplify]: Simplify 0 into 0 1.613 * [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))))))) 1.614 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.614 * [approximate]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.614 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 1.615 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.615 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 1.616 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.616 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 1.617 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.617 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 1.618 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.618 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 1.619 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.619 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 1.620 * [backup-simplify]: Simplify (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.620 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 1.621 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.621 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 1.622 * [backup-simplify]: Simplify (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.623 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.623 * [taylor]: Taking taylor expansion of 0 in phi2 1.623 * [backup-simplify]: Simplify 0 into 0 1.623 * [taylor]: Taking taylor expansion of 0 in lambda1 1.623 * [backup-simplify]: Simplify 0 into 0 1.623 * [taylor]: Taking taylor expansion of 0 in lambda2 1.623 * [backup-simplify]: Simplify 0 into 0 1.623 * [backup-simplify]: Simplify 0 into 0 1.623 * [taylor]: Taking taylor expansion of 0 in lambda1 1.623 * [backup-simplify]: Simplify 0 into 0 1.624 * [taylor]: Taking taylor expansion of 0 in lambda2 1.624 * [backup-simplify]: Simplify 0 into 0 1.624 * [backup-simplify]: Simplify 0 into 0 1.624 * [taylor]: Taking taylor expansion of 0 in lambda2 1.624 * [backup-simplify]: Simplify 0 into 0 1.624 * [backup-simplify]: Simplify 0 into 0 1.624 * [backup-simplify]: Simplify 0 into 0 1.624 * [taylor]: Taking taylor expansion of 0 in phi2 1.624 * [backup-simplify]: Simplify 0 into 0 1.624 * [taylor]: Taking taylor expansion of 0 in lambda1 1.624 * [backup-simplify]: Simplify 0 into 0 1.624 * [taylor]: Taking taylor expansion of 0 in lambda2 1.624 * [backup-simplify]: Simplify 0 into 0 1.624 * [backup-simplify]: Simplify 0 into 0 1.624 * [taylor]: Taking taylor expansion of 0 in lambda1 1.624 * [backup-simplify]: Simplify 0 into 0 1.624 * [taylor]: Taking taylor expansion of 0 in lambda2 1.624 * [backup-simplify]: Simplify 0 into 0 1.624 * [backup-simplify]: Simplify 0 into 0 1.625 * [backup-simplify]: Simplify (acos (- (+ (* (sin (/ 1 (/ 1 phi1))) (sin (/ 1 (/ 1 phi2)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi1))) (cos (/ 1 (/ 1 lambda1))))))) (* (sin (/ 1 (/ 1 lambda1))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 phi1))) (sin (- (/ 1 (/ 1 lambda2))))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 1.626 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.626 * [approximate]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.626 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 1.627 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.627 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 1.628 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.628 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 1.629 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.629 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 1.630 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.630 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 1.631 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.631 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 1.632 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.632 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 1.632 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.633 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 1.633 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.634 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.635 * [taylor]: Taking taylor expansion of 0 in phi2 1.635 * [backup-simplify]: Simplify 0 into 0 1.635 * [taylor]: Taking taylor expansion of 0 in lambda1 1.635 * [backup-simplify]: Simplify 0 into 0 1.635 * [taylor]: Taking taylor expansion of 0 in lambda2 1.635 * [backup-simplify]: Simplify 0 into 0 1.635 * [backup-simplify]: Simplify 0 into 0 1.635 * [taylor]: Taking taylor expansion of 0 in lambda1 1.635 * [backup-simplify]: Simplify 0 into 0 1.635 * [taylor]: Taking taylor expansion of 0 in lambda2 1.635 * [backup-simplify]: Simplify 0 into 0 1.635 * [backup-simplify]: Simplify 0 into 0 1.635 * [taylor]: Taking taylor expansion of 0 in lambda2 1.635 * [backup-simplify]: Simplify 0 into 0 1.635 * [backup-simplify]: Simplify 0 into 0 1.635 * [backup-simplify]: Simplify 0 into 0 1.635 * [taylor]: Taking taylor expansion of 0 in phi2 1.635 * [backup-simplify]: Simplify 0 into 0 1.635 * [taylor]: Taking taylor expansion of 0 in lambda1 1.635 * [backup-simplify]: Simplify 0 into 0 1.635 * [taylor]: Taking taylor expansion of 0 in lambda2 1.635 * [backup-simplify]: Simplify 0 into 0 1.635 * [backup-simplify]: Simplify 0 into 0 1.635 * [taylor]: Taking taylor expansion of 0 in lambda1 1.635 * [backup-simplify]: Simplify 0 into 0 1.635 * [taylor]: Taking taylor expansion of 0 in lambda2 1.635 * [backup-simplify]: Simplify 0 into 0 1.635 * [backup-simplify]: Simplify 0 into 0 1.636 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2))))))) (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2)))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (sin (/ 1 (/ 1 (- lambda2)))) (cos (/ -1 (/ 1 (- phi2))))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) 1.637 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.637 * [backup-simplify]: Simplify (log (exp (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))))))) 1.637 * [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 1.637 * [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 1.638 * [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))))))) 1.638 * [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 1.639 * [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))))))) 1.639 * [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 1.639 * [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))))))) 1.639 * [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 1.640 * [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))))))) 1.640 * [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 1.641 * [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))))))) 1.641 * [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 1.641 * [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))))))) 1.642 * [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 lambda1 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))))))) 1.642 * [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 1.643 * [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 (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 * [taylor]: Taking taylor expansion of 0 in phi2 1.644 * [backup-simplify]: Simplify 0 into 0 1.644 * [taylor]: Taking taylor expansion of 0 in lambda1 1.644 * [backup-simplify]: Simplify 0 into 0 1.644 * [taylor]: Taking taylor expansion of 0 in lambda2 1.644 * [backup-simplify]: Simplify 0 into 0 1.644 * [backup-simplify]: Simplify 0 into 0 1.644 * [taylor]: Taking taylor expansion of 0 in lambda1 1.644 * [backup-simplify]: Simplify 0 into 0 1.644 * [taylor]: Taking taylor expansion of 0 in lambda2 1.644 * [backup-simplify]: Simplify 0 into 0 1.644 * [backup-simplify]: Simplify 0 into 0 1.644 * [taylor]: Taking taylor expansion of 0 in lambda2 1.644 * [backup-simplify]: Simplify 0 into 0 1.644 * [backup-simplify]: Simplify 0 into 0 1.644 * [backup-simplify]: Simplify 0 into 0 1.644 * [taylor]: Taking taylor expansion of 0 in phi2 1.644 * [backup-simplify]: Simplify 0 into 0 1.644 * [taylor]: Taking taylor expansion of 0 in lambda1 1.644 * [backup-simplify]: Simplify 0 into 0 1.644 * [taylor]: Taking taylor expansion of 0 in lambda2 1.644 * [backup-simplify]: Simplify 0 into 0 1.644 * [backup-simplify]: Simplify 0 into 0 1.644 * [taylor]: Taking taylor expansion of 0 in lambda1 1.644 * [backup-simplify]: Simplify 0 into 0 1.644 * [taylor]: Taking taylor expansion of 0 in lambda2 1.644 * [backup-simplify]: Simplify 0 into 0 1.644 * [backup-simplify]: Simplify 0 into 0 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 (exp (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) into (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.646 * [approximate]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.646 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 1.647 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.647 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 1.648 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.648 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 1.649 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.649 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 1.650 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.650 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 1.651 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.651 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 1.652 * [backup-simplify]: Simplify (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.652 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 1.653 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.653 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 1.653 * [backup-simplify]: Simplify (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.654 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.655 * [taylor]: Taking taylor expansion of 0 in phi2 1.655 * [backup-simplify]: Simplify 0 into 0 1.655 * [taylor]: Taking taylor expansion of 0 in lambda1 1.655 * [backup-simplify]: Simplify 0 into 0 1.655 * [taylor]: Taking taylor expansion of 0 in lambda2 1.655 * [backup-simplify]: Simplify 0 into 0 1.655 * [backup-simplify]: Simplify 0 into 0 1.655 * [taylor]: Taking taylor expansion of 0 in lambda1 1.655 * [backup-simplify]: Simplify 0 into 0 1.655 * [taylor]: Taking taylor expansion of 0 in lambda2 1.655 * [backup-simplify]: Simplify 0 into 0 1.655 * [backup-simplify]: Simplify 0 into 0 1.655 * [taylor]: Taking taylor expansion of 0 in lambda2 1.655 * [backup-simplify]: Simplify 0 into 0 1.655 * [backup-simplify]: Simplify 0 into 0 1.655 * [backup-simplify]: Simplify 0 into 0 1.655 * [taylor]: Taking taylor expansion of 0 in phi2 1.655 * [backup-simplify]: Simplify 0 into 0 1.655 * [taylor]: Taking taylor expansion of 0 in lambda1 1.655 * [backup-simplify]: Simplify 0 into 0 1.655 * [taylor]: Taking taylor expansion of 0 in lambda2 1.655 * [backup-simplify]: Simplify 0 into 0 1.655 * [backup-simplify]: Simplify 0 into 0 1.655 * [taylor]: Taking taylor expansion of 0 in lambda1 1.655 * [backup-simplify]: Simplify 0 into 0 1.655 * [taylor]: Taking taylor expansion of 0 in lambda2 1.655 * [backup-simplify]: Simplify 0 into 0 1.655 * [backup-simplify]: Simplify 0 into 0 1.656 * [backup-simplify]: Simplify (acos (- (+ (* (sin (/ 1 (/ 1 phi1))) (sin (/ 1 (/ 1 phi2)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi1))) (cos (/ 1 (/ 1 lambda1))))))) (* (sin (/ 1 (/ 1 lambda1))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 phi1))) (sin (- (/ 1 (/ 1 lambda2))))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 1.658 * [backup-simplify]: Simplify (log (exp (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.658 * [approximate]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.658 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 1.659 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.659 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 1.659 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.660 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 1.660 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.660 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 1.661 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.661 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 1.662 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.662 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 1.663 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.663 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 1.664 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.664 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 1.665 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.666 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.666 * [taylor]: Taking taylor expansion of 0 in phi2 1.666 * [backup-simplify]: Simplify 0 into 0 1.666 * [taylor]: Taking taylor expansion of 0 in lambda1 1.666 * [backup-simplify]: Simplify 0 into 0 1.666 * [taylor]: Taking taylor expansion of 0 in lambda2 1.666 * [backup-simplify]: Simplify 0 into 0 1.666 * [backup-simplify]: Simplify 0 into 0 1.666 * [taylor]: Taking taylor expansion of 0 in lambda1 1.666 * [backup-simplify]: Simplify 0 into 0 1.666 * [taylor]: Taking taylor expansion of 0 in lambda2 1.666 * [backup-simplify]: Simplify 0 into 0 1.666 * [backup-simplify]: Simplify 0 into 0 1.666 * [taylor]: Taking taylor expansion of 0 in lambda2 1.666 * [backup-simplify]: Simplify 0 into 0 1.666 * [backup-simplify]: Simplify 0 into 0 1.666 * [backup-simplify]: Simplify 0 into 0 1.666 * [taylor]: Taking taylor expansion of 0 in phi2 1.666 * [backup-simplify]: Simplify 0 into 0 1.666 * [taylor]: Taking taylor expansion of 0 in lambda1 1.666 * [backup-simplify]: Simplify 0 into 0 1.667 * [taylor]: Taking taylor expansion of 0 in lambda2 1.667 * [backup-simplify]: Simplify 0 into 0 1.667 * [backup-simplify]: Simplify 0 into 0 1.667 * [taylor]: Taking taylor expansion of 0 in lambda1 1.667 * [backup-simplify]: Simplify 0 into 0 1.667 * [taylor]: Taking taylor expansion of 0 in lambda2 1.667 * [backup-simplify]: Simplify 0 into 0 1.667 * [backup-simplify]: Simplify 0 into 0 1.667 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2))))))) (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2)))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (sin (/ 1 (/ 1 (- lambda2)))) (cos (/ -1 (/ 1 (- phi2))))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) 1.667 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 1.668 * [backup-simplify]: Simplify (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) into (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) 1.668 * [approximate]: Taking taylor expansion of (exp (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 1.668 * [taylor]: Taking taylor expansion of (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in lambda2 1.668 * [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 1.668 * [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))))))) 1.669 * [backup-simplify]: Simplify (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) into (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) 1.669 * [taylor]: Taking taylor expansion of (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in lambda1 1.669 * [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 1.669 * [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))))))) 1.669 * [backup-simplify]: Simplify (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) into (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) 1.669 * [taylor]: Taking taylor expansion of (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in phi2 1.669 * [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 1.670 * [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))))))) 1.670 * [backup-simplify]: Simplify (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) into (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) 1.670 * [taylor]: Taking taylor expansion of (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in phi1 1.670 * [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 1.671 * [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))))))) 1.671 * [backup-simplify]: Simplify (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) into (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) 1.671 * [taylor]: Taking taylor expansion of (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in phi1 1.671 * [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 1.671 * [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))))))) 1.672 * [backup-simplify]: Simplify (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) into (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) 1.672 * [taylor]: Taking taylor expansion of (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in phi2 1.672 * [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 1.672 * [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))))))) 1.673 * [backup-simplify]: Simplify (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) into (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) 1.673 * [taylor]: Taking taylor expansion of (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in lambda1 1.673 * [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 1.673 * [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))))))) 1.674 * [backup-simplify]: Simplify (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) into (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) 1.674 * [taylor]: Taking taylor expansion of (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in lambda2 1.674 * [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 1.674 * [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))))))) 1.674 * [backup-simplify]: Simplify (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) into (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) 1.675 * [backup-simplify]: Simplify (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) into (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) 1.676 * [backup-simplify]: Simplify (* (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.676 * [taylor]: Taking taylor expansion of 0 in phi2 1.676 * [backup-simplify]: Simplify 0 into 0 1.676 * [taylor]: Taking taylor expansion of 0 in lambda1 1.676 * [backup-simplify]: Simplify 0 into 0 1.676 * [taylor]: Taking taylor expansion of 0 in lambda2 1.676 * [backup-simplify]: Simplify 0 into 0 1.676 * [backup-simplify]: Simplify 0 into 0 1.677 * [backup-simplify]: Simplify (* (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) (+ (* (/ (pow 0 1) 1)))) 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 (* (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.678 * [taylor]: Taking taylor expansion of 0 in lambda2 1.678 * [backup-simplify]: Simplify 0 into 0 1.678 * [backup-simplify]: Simplify 0 into 0 1.679 * [backup-simplify]: Simplify (* (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.679 * [backup-simplify]: Simplify 0 into 0 1.680 * [backup-simplify]: Simplify (* (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.680 * [taylor]: Taking taylor expansion of 0 in phi2 1.680 * [backup-simplify]: Simplify 0 into 0 1.680 * [taylor]: Taking taylor expansion of 0 in lambda1 1.680 * [backup-simplify]: Simplify 0 into 0 1.680 * [taylor]: Taking taylor expansion of 0 in lambda2 1.680 * [backup-simplify]: Simplify 0 into 0 1.680 * [backup-simplify]: Simplify 0 into 0 1.680 * [taylor]: Taking taylor expansion of 0 in lambda1 1.680 * [backup-simplify]: Simplify 0 into 0 1.680 * [taylor]: Taking taylor expansion of 0 in lambda2 1.680 * [backup-simplify]: Simplify 0 into 0 1.680 * [backup-simplify]: Simplify 0 into 0 1.681 * [backup-simplify]: Simplify (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) into (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) 1.681 * [backup-simplify]: Simplify (exp (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))))))) into (exp (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) 1.681 * [approximate]: Taking taylor expansion of (exp (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.681 * [taylor]: Taking taylor expansion of (exp (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in lambda2 1.681 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 1.682 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.682 * [backup-simplify]: Simplify (exp (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) into (exp (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) 1.682 * [taylor]: Taking taylor expansion of (exp (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in lambda1 1.682 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 1.683 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.683 * [backup-simplify]: Simplify (exp (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) into (exp (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) 1.683 * [taylor]: Taking taylor expansion of (exp (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in phi2 1.683 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 1.684 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.684 * [backup-simplify]: Simplify (exp (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) into (exp (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) 1.684 * [taylor]: Taking taylor expansion of (exp (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in phi1 1.684 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 1.685 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.685 * [backup-simplify]: Simplify (exp (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) into (exp (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) 1.685 * [taylor]: Taking taylor expansion of (exp (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in phi1 1.685 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 1.688 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.688 * [backup-simplify]: Simplify (exp (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) into (exp (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) 1.689 * [taylor]: Taking taylor expansion of (exp (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in phi2 1.689 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 1.689 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.690 * [backup-simplify]: Simplify (exp (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) into (exp (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) 1.690 * [taylor]: Taking taylor expansion of (exp (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in lambda1 1.690 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 1.690 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.691 * [backup-simplify]: Simplify (exp (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) into (exp (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) 1.691 * [taylor]: Taking taylor expansion of (exp (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in lambda2 1.691 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 1.691 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.692 * [backup-simplify]: Simplify (exp (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) into (exp (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) 1.692 * [backup-simplify]: Simplify (exp (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) into (exp (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) 1.694 * [backup-simplify]: Simplify (* (exp (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.694 * [taylor]: Taking taylor expansion of 0 in phi2 1.694 * [backup-simplify]: Simplify 0 into 0 1.694 * [taylor]: Taking taylor expansion of 0 in lambda1 1.694 * [backup-simplify]: Simplify 0 into 0 1.694 * [taylor]: Taking taylor expansion of 0 in lambda2 1.694 * [backup-simplify]: Simplify 0 into 0 1.694 * [backup-simplify]: Simplify 0 into 0 1.695 * [backup-simplify]: Simplify (* (exp (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.695 * [taylor]: Taking taylor expansion of 0 in lambda1 1.695 * [backup-simplify]: Simplify 0 into 0 1.695 * [taylor]: Taking taylor expansion of 0 in lambda2 1.695 * [backup-simplify]: Simplify 0 into 0 1.695 * [backup-simplify]: Simplify 0 into 0 1.696 * [backup-simplify]: Simplify (* (exp (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) (+ (* (/ (pow 0 1) 1)))) 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 (* (exp (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.697 * [backup-simplify]: Simplify 0 into 0 1.698 * [backup-simplify]: Simplify (* (exp (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.698 * [taylor]: Taking taylor expansion of 0 in phi2 1.698 * [backup-simplify]: Simplify 0 into 0 1.698 * [taylor]: Taking taylor expansion of 0 in lambda1 1.698 * [backup-simplify]: Simplify 0 into 0 1.698 * [taylor]: Taking taylor expansion of 0 in lambda2 1.698 * [backup-simplify]: Simplify 0 into 0 1.698 * [backup-simplify]: Simplify 0 into 0 1.698 * [taylor]: Taking taylor expansion of 0 in lambda1 1.698 * [backup-simplify]: Simplify 0 into 0 1.698 * [taylor]: Taking taylor expansion of 0 in lambda2 1.698 * [backup-simplify]: Simplify 0 into 0 1.698 * [backup-simplify]: Simplify 0 into 0 1.699 * [backup-simplify]: Simplify (exp (acos (- (+ (* (sin (/ 1 (/ 1 phi1))) (sin (/ 1 (/ 1 phi2)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi1))) (cos (/ 1 (/ 1 lambda1))))))) (* (sin (/ 1 (/ 1 lambda1))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 phi1))) (sin (- (/ 1 (/ 1 lambda2)))))))))) into (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) 1.699 * [backup-simplify]: Simplify (exp (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2)))))))))) into (exp (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) 1.699 * [approximate]: Taking taylor expansion of (exp (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.699 * [taylor]: Taking taylor expansion of (exp (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in lambda2 1.699 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 1.700 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.700 * [backup-simplify]: Simplify (exp (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) into (exp (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) 1.700 * [taylor]: Taking taylor expansion of (exp (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in lambda1 1.701 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 1.701 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.701 * [backup-simplify]: Simplify (exp (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) into (exp (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) 1.702 * [taylor]: Taking taylor expansion of (exp (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in phi2 1.702 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 1.702 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.703 * [backup-simplify]: Simplify (exp (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) into (exp (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) 1.703 * [taylor]: Taking taylor expansion of (exp (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in phi1 1.703 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 1.703 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.704 * [backup-simplify]: Simplify (exp (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) into (exp (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) 1.704 * [taylor]: Taking taylor expansion of (exp (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in phi1 1.704 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 1.704 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.705 * [backup-simplify]: Simplify (exp (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) into (exp (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) 1.705 * [taylor]: Taking taylor expansion of (exp (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in phi2 1.705 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 1.705 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.706 * [backup-simplify]: Simplify (exp (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) into (exp (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) 1.706 * [taylor]: Taking taylor expansion of (exp (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in lambda1 1.706 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 1.706 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.707 * [backup-simplify]: Simplify (exp (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) into (exp (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) 1.707 * [taylor]: Taking taylor expansion of (exp (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in lambda2 1.707 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 1.707 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.708 * [backup-simplify]: Simplify (exp (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) into (exp (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) 1.708 * [backup-simplify]: Simplify (exp (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) into (exp (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) 1.709 * [backup-simplify]: Simplify (* (exp (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.709 * [taylor]: Taking taylor expansion of 0 in phi2 1.709 * [backup-simplify]: Simplify 0 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 * [backup-simplify]: Simplify 0 into 0 1.710 * [backup-simplify]: Simplify (* (exp (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.710 * [taylor]: Taking taylor expansion of 0 in lambda1 1.710 * [backup-simplify]: Simplify 0 into 0 1.710 * [taylor]: Taking taylor expansion of 0 in lambda2 1.710 * [backup-simplify]: Simplify 0 into 0 1.711 * [backup-simplify]: Simplify 0 into 0 1.711 * [backup-simplify]: Simplify (* (exp (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.711 * [taylor]: Taking taylor expansion of 0 in lambda2 1.712 * [backup-simplify]: Simplify 0 into 0 1.712 * [backup-simplify]: Simplify 0 into 0 1.712 * [backup-simplify]: Simplify (* (exp (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.712 * [backup-simplify]: Simplify 0 into 0 1.714 * [backup-simplify]: Simplify (* (exp (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.714 * [taylor]: Taking taylor expansion of 0 in phi2 1.714 * [backup-simplify]: Simplify 0 into 0 1.714 * [taylor]: Taking taylor expansion of 0 in lambda1 1.714 * [backup-simplify]: Simplify 0 into 0 1.714 * [taylor]: Taking taylor expansion of 0 in lambda2 1.714 * [backup-simplify]: Simplify 0 into 0 1.714 * [backup-simplify]: Simplify 0 into 0 1.714 * [taylor]: Taking taylor expansion of 0 in lambda1 1.714 * [backup-simplify]: Simplify 0 into 0 1.714 * [taylor]: Taking taylor expansion of 0 in lambda2 1.714 * [backup-simplify]: Simplify 0 into 0 1.714 * [backup-simplify]: Simplify 0 into 0 1.715 * [backup-simplify]: Simplify (exp (acos (- (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2))))))) (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2)))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (sin (/ 1 (/ 1 (- lambda2)))) (cos (/ -1 (/ 1 (- phi2)))))))))) into (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2)))))))) 1.715 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.715 * [backup-simplify]: Simplify (* (log (exp (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) 1.715 * [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 1.715 * [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 1.715 * [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 1.716 * [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))))))) 1.716 * [taylor]: Taking taylor expansion of R in R 1.716 * [backup-simplify]: Simplify 0 into 0 1.716 * [backup-simplify]: Simplify 1 into 1 1.716 * [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 1.716 * [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 1.716 * [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))))))) 1.716 * [taylor]: Taking taylor expansion of R in lambda2 1.716 * [backup-simplify]: Simplify R into R 1.716 * [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 1.716 * [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 1.716 * [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))))))) 1.717 * [taylor]: Taking taylor expansion of R in lambda1 1.717 * [backup-simplify]: Simplify R into R 1.717 * [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 1.717 * [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 1.717 * [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))))))) 1.717 * [taylor]: Taking taylor expansion of R in phi2 1.717 * [backup-simplify]: Simplify R into R 1.717 * [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 1.717 * [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 1.717 * [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))))))) 1.717 * [taylor]: Taking taylor expansion of R in phi1 1.717 * [backup-simplify]: Simplify R into R 1.717 * [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 1.717 * [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 1.718 * [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))))))) 1.718 * [taylor]: Taking taylor expansion of R in phi1 1.718 * [backup-simplify]: Simplify R into R 1.718 * [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) 1.718 * [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 1.718 * [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 1.719 * [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))))))) 1.719 * [taylor]: Taking taylor expansion of R in phi2 1.719 * [backup-simplify]: Simplify R into R 1.719 * [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) 1.719 * [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 1.719 * [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 1.719 * [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))))))) 1.719 * [taylor]: Taking taylor expansion of R in lambda1 1.719 * [backup-simplify]: Simplify R into R 1.720 * [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) 1.720 * [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 1.720 * [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 1.720 * [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))))))) 1.720 * [taylor]: Taking taylor expansion of R in lambda2 1.720 * [backup-simplify]: Simplify R into R 1.721 * [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) 1.721 * [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 1.721 * [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 1.721 * [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))))))) 1.721 * [taylor]: Taking taylor expansion of R in R 1.721 * [backup-simplify]: Simplify 0 into 0 1.721 * [backup-simplify]: Simplify 1 into 1 1.721 * [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 1.721 * [backup-simplify]: Simplify 0 into 0 1.722 * [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 1.722 * [taylor]: Taking taylor expansion of 0 in phi2 1.722 * [backup-simplify]: Simplify 0 into 0 1.722 * [taylor]: Taking taylor expansion of 0 in lambda1 1.722 * [backup-simplify]: Simplify 0 into 0 1.722 * [taylor]: Taking taylor expansion of 0 in lambda2 1.722 * [backup-simplify]: Simplify 0 into 0 1.722 * [taylor]: Taking taylor expansion of 0 in R 1.722 * [backup-simplify]: Simplify 0 into 0 1.722 * [backup-simplify]: Simplify 0 into 0 1.722 * [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 1.722 * [taylor]: Taking taylor expansion of 0 in lambda1 1.723 * [backup-simplify]: Simplify 0 into 0 1.723 * [taylor]: Taking taylor expansion of 0 in lambda2 1.723 * [backup-simplify]: Simplify 0 into 0 1.723 * [taylor]: Taking taylor expansion of 0 in R 1.723 * [backup-simplify]: Simplify 0 into 0 1.723 * [backup-simplify]: Simplify 0 into 0 1.723 * [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 1.723 * [taylor]: Taking taylor expansion of 0 in lambda2 1.723 * [backup-simplify]: Simplify 0 into 0 1.723 * [taylor]: Taking taylor expansion of 0 in R 1.723 * [backup-simplify]: Simplify 0 into 0 1.723 * [backup-simplify]: Simplify 0 into 0 1.724 * [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 1.724 * [taylor]: Taking taylor expansion of 0 in R 1.724 * [backup-simplify]: Simplify 0 into 0 1.724 * [backup-simplify]: Simplify 0 into 0 1.724 * [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))))))) 1.725 * [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))))))) 1.725 * [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 1.726 * [taylor]: Taking taylor expansion of 0 in phi2 1.726 * [backup-simplify]: Simplify 0 into 0 1.726 * [taylor]: Taking taylor expansion of 0 in lambda1 1.726 * [backup-simplify]: Simplify 0 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 1.726 * [backup-simplify]: Simplify 0 into 0 1.726 * [taylor]: Taking taylor expansion of 0 in lambda1 1.726 * [backup-simplify]: Simplify 0 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 1.726 * [backup-simplify]: Simplify 0 into 0 1.726 * [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 1.726 * [taylor]: Taking taylor expansion of 0 in lambda1 1.726 * [backup-simplify]: Simplify 0 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 1.727 * [backup-simplify]: Simplify 0 into 0 1.727 * [backup-simplify]: Simplify 0 into 0 1.727 * [taylor]: Taking taylor expansion of 0 in lambda2 1.727 * [backup-simplify]: Simplify 0 into 0 1.727 * [taylor]: Taking taylor expansion of 0 in R 1.727 * [backup-simplify]: Simplify 0 into 0 1.727 * [backup-simplify]: Simplify 0 into 0 1.727 * [taylor]: Taking taylor expansion of 0 in lambda2 1.727 * [backup-simplify]: Simplify 0 into 0 1.727 * [taylor]: Taking taylor expansion of 0 in R 1.727 * [backup-simplify]: Simplify 0 into 0 1.727 * [backup-simplify]: Simplify 0 into 0 1.727 * [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 1.727 * [taylor]: Taking taylor expansion of 0 in lambda2 1.727 * [backup-simplify]: Simplify 0 into 0 1.727 * [taylor]: Taking taylor expansion of 0 in R 1.727 * [backup-simplify]: Simplify 0 into 0 1.727 * [backup-simplify]: Simplify 0 into 0 1.728 * [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) 1.729 * [backup-simplify]: Simplify (* (log (exp (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) (/ 1 R)) into (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) 1.729 * [approximate]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 1.729 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in R 1.729 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in R 1.729 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.729 * [taylor]: Taking taylor expansion of R in R 1.729 * [backup-simplify]: Simplify 0 into 0 1.729 * [backup-simplify]: Simplify 1 into 1 1.730 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1) into (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.730 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in lambda2 1.730 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 1.730 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.731 * [taylor]: Taking taylor expansion of R in lambda2 1.731 * [backup-simplify]: Simplify R into R 1.731 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) into (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) 1.731 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in lambda1 1.731 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 1.732 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.732 * [taylor]: Taking taylor expansion of R in lambda1 1.732 * [backup-simplify]: Simplify R into R 1.732 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) into (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) 1.732 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in phi2 1.732 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 1.733 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.733 * [taylor]: Taking taylor expansion of R in phi2 1.733 * [backup-simplify]: Simplify R into R 1.733 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) into (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) 1.733 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in phi1 1.733 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 1.734 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.734 * [taylor]: Taking taylor expansion of R in phi1 1.734 * [backup-simplify]: Simplify R into R 1.734 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) into (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) 1.734 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in phi1 1.734 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 1.735 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.735 * [taylor]: Taking taylor expansion of R in phi1 1.735 * [backup-simplify]: Simplify R into R 1.735 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) into (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) 1.735 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in phi2 1.735 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 1.736 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.736 * [taylor]: Taking taylor expansion of R in phi2 1.736 * [backup-simplify]: Simplify R into R 1.736 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) into (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) 1.737 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in lambda1 1.737 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 1.737 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.737 * [taylor]: Taking taylor expansion of R in lambda1 1.737 * [backup-simplify]: Simplify R into R 1.738 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) into (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) 1.738 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in lambda2 1.738 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 1.738 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.738 * [taylor]: Taking taylor expansion of R in lambda2 1.738 * [backup-simplify]: Simplify R into R 1.739 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) into (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) 1.739 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in R 1.739 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in R 1.739 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.739 * [taylor]: Taking taylor expansion of R in R 1.739 * [backup-simplify]: Simplify 0 into 0 1.739 * [backup-simplify]: Simplify 1 into 1 1.740 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1) into (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.740 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.741 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) (/ 0 R)))) into 0 1.741 * [taylor]: Taking taylor expansion of 0 in phi2 1.741 * [backup-simplify]: Simplify 0 into 0 1.741 * [taylor]: Taking taylor expansion of 0 in lambda1 1.741 * [backup-simplify]: Simplify 0 into 0 1.741 * [taylor]: Taking taylor expansion of 0 in lambda2 1.741 * [backup-simplify]: Simplify 0 into 0 1.741 * [taylor]: Taking taylor expansion of 0 in R 1.741 * [backup-simplify]: Simplify 0 into 0 1.742 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) (/ 0 R)))) into 0 1.742 * [taylor]: Taking taylor expansion of 0 in lambda1 1.742 * [backup-simplify]: Simplify 0 into 0 1.742 * [taylor]: Taking taylor expansion of 0 in lambda2 1.742 * [backup-simplify]: Simplify 0 into 0 1.742 * [taylor]: Taking taylor expansion of 0 in R 1.742 * [backup-simplify]: Simplify 0 into 0 1.743 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) (/ 0 R)))) into 0 1.743 * [taylor]: Taking taylor expansion of 0 in lambda2 1.743 * [backup-simplify]: Simplify 0 into 0 1.743 * [taylor]: Taking taylor expansion of 0 in R 1.743 * [backup-simplify]: Simplify 0 into 0 1.743 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) (/ 0 R)))) into 0 1.743 * [taylor]: Taking taylor expansion of 0 in R 1.743 * [backup-simplify]: Simplify 0 into 0 1.744 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) (/ 0 1)))) into 0 1.744 * [backup-simplify]: Simplify 0 into 0 1.745 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 1.745 * [taylor]: Taking taylor expansion of 0 in phi2 1.745 * [backup-simplify]: Simplify 0 into 0 1.745 * [taylor]: Taking taylor expansion of 0 in lambda1 1.745 * [backup-simplify]: Simplify 0 into 0 1.745 * [taylor]: Taking taylor expansion of 0 in lambda2 1.745 * [backup-simplify]: Simplify 0 into 0 1.745 * [taylor]: Taking taylor expansion of 0 in R 1.745 * [backup-simplify]: Simplify 0 into 0 1.745 * [taylor]: Taking taylor expansion of 0 in lambda1 1.745 * [backup-simplify]: Simplify 0 into 0 1.745 * [taylor]: Taking taylor expansion of 0 in lambda2 1.745 * [backup-simplify]: Simplify 0 into 0 1.745 * [taylor]: Taking taylor expansion of 0 in R 1.745 * [backup-simplify]: Simplify 0 into 0 1.746 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 1.746 * [taylor]: Taking taylor expansion of 0 in lambda1 1.746 * [backup-simplify]: Simplify 0 into 0 1.746 * [taylor]: Taking taylor expansion of 0 in lambda2 1.746 * [backup-simplify]: Simplify 0 into 0 1.746 * [taylor]: Taking taylor expansion of 0 in R 1.746 * [backup-simplify]: Simplify 0 into 0 1.746 * [taylor]: Taking taylor expansion of 0 in lambda2 1.746 * [backup-simplify]: Simplify 0 into 0 1.746 * [taylor]: Taking taylor expansion of 0 in R 1.746 * [backup-simplify]: Simplify 0 into 0 1.746 * [taylor]: Taking taylor expansion of 0 in lambda2 1.746 * [backup-simplify]: Simplify 0 into 0 1.746 * [taylor]: Taking taylor expansion of 0 in R 1.746 * [backup-simplify]: Simplify 0 into 0 1.747 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 1.747 * [taylor]: Taking taylor expansion of 0 in lambda2 1.747 * [backup-simplify]: Simplify 0 into 0 1.747 * [taylor]: Taking taylor expansion of 0 in R 1.747 * [backup-simplify]: Simplify 0 into 0 1.747 * [taylor]: Taking taylor expansion of 0 in R 1.747 * [backup-simplify]: Simplify 0 into 0 1.747 * [taylor]: Taking taylor expansion of 0 in R 1.747 * [backup-simplify]: Simplify 0 into 0 1.747 * [taylor]: Taking taylor expansion of 0 in R 1.747 * [backup-simplify]: Simplify 0 into 0 1.748 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 1.748 * [taylor]: Taking taylor expansion of 0 in R 1.748 * [backup-simplify]: Simplify 0 into 0 1.748 * [backup-simplify]: Simplify 0 into 0 1.748 * [backup-simplify]: Simplify 0 into 0 1.748 * [backup-simplify]: Simplify 0 into 0 1.748 * [backup-simplify]: Simplify 0 into 0 1.749 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.749 * [backup-simplify]: Simplify 0 into 0 1.750 * [backup-simplify]: Simplify (* (acos (- (+ (* (sin (/ 1 (/ 1 phi1))) (sin (/ 1 (/ 1 phi2)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi1))) (cos (/ 1 (/ 1 lambda1))))))) (* (sin (/ 1 (/ 1 lambda1))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 phi1))) (sin (- (/ 1 (/ 1 lambda2))))))))) (* (/ 1 (/ 1 R)) (* 1 (* 1 (* 1 1))))) into (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) 1.751 * [backup-simplify]: Simplify (* (log (exp (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))))) (/ 1 (- R))) into (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) 1.751 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 1.751 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in R 1.751 * [taylor]: Taking taylor expansion of -1 in R 1.751 * [backup-simplify]: Simplify -1 into -1 1.751 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in R 1.751 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in R 1.751 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.751 * [taylor]: Taking taylor expansion of R in R 1.752 * [backup-simplify]: Simplify 0 into 0 1.752 * [backup-simplify]: Simplify 1 into 1 1.752 * [backup-simplify]: Simplify (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.752 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda2 1.752 * [taylor]: Taking taylor expansion of -1 in lambda2 1.752 * [backup-simplify]: Simplify -1 into -1 1.752 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda2 1.752 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 1.753 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.753 * [taylor]: Taking taylor expansion of R in lambda2 1.753 * [backup-simplify]: Simplify R into R 1.753 * [backup-simplify]: Simplify (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) into (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) 1.753 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda1 1.753 * [taylor]: Taking taylor expansion of -1 in lambda1 1.753 * [backup-simplify]: Simplify -1 into -1 1.753 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda1 1.753 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 1.754 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.754 * [taylor]: Taking taylor expansion of R in lambda1 1.754 * [backup-simplify]: Simplify R into R 1.754 * [backup-simplify]: Simplify (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) into (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) 1.754 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi2 1.754 * [taylor]: Taking taylor expansion of -1 in phi2 1.754 * [backup-simplify]: Simplify -1 into -1 1.754 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi2 1.754 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 1.755 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.755 * [taylor]: Taking taylor expansion of R in phi2 1.755 * [backup-simplify]: Simplify R into R 1.755 * [backup-simplify]: Simplify (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) into (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) 1.755 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi1 1.755 * [taylor]: Taking taylor expansion of -1 in phi1 1.755 * [backup-simplify]: Simplify -1 into -1 1.755 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi1 1.755 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 1.756 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.756 * [taylor]: Taking taylor expansion of R in phi1 1.756 * [backup-simplify]: Simplify R into R 1.756 * [backup-simplify]: Simplify (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) into (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) 1.756 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi1 1.757 * [taylor]: Taking taylor expansion of -1 in phi1 1.757 * [backup-simplify]: Simplify -1 into -1 1.757 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi1 1.757 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 1.757 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.757 * [taylor]: Taking taylor expansion of R in phi1 1.757 * [backup-simplify]: Simplify R into R 1.758 * [backup-simplify]: Simplify (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) into (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) 1.758 * [backup-simplify]: Simplify (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) into (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) 1.758 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi2 1.758 * [taylor]: Taking taylor expansion of -1 in phi2 1.758 * [backup-simplify]: Simplify -1 into -1 1.758 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi2 1.758 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 1.759 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.759 * [taylor]: Taking taylor expansion of R in phi2 1.759 * [backup-simplify]: Simplify R into R 1.759 * [backup-simplify]: Simplify (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) into (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) 1.760 * [backup-simplify]: Simplify (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) into (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) 1.760 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda1 1.760 * [taylor]: Taking taylor expansion of -1 in lambda1 1.760 * [backup-simplify]: Simplify -1 into -1 1.760 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda1 1.760 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 1.760 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.760 * [taylor]: Taking taylor expansion of R in lambda1 1.760 * [backup-simplify]: Simplify R into R 1.761 * [backup-simplify]: Simplify (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) into (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) 1.761 * [backup-simplify]: Simplify (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) into (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) 1.761 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda2 1.761 * [taylor]: Taking taylor expansion of -1 in lambda2 1.762 * [backup-simplify]: Simplify -1 into -1 1.762 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda2 1.762 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 1.762 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.762 * [taylor]: Taking taylor expansion of R in lambda2 1.762 * [backup-simplify]: Simplify R into R 1.763 * [backup-simplify]: Simplify (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) into (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) 1.763 * [backup-simplify]: Simplify (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) into (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) 1.763 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in R 1.763 * [taylor]: Taking taylor expansion of -1 in R 1.763 * [backup-simplify]: Simplify -1 into -1 1.763 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in R 1.763 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in R 1.764 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.764 * [taylor]: Taking taylor expansion of R in R 1.764 * [backup-simplify]: Simplify 0 into 0 1.764 * [backup-simplify]: Simplify 1 into 1 1.764 * [backup-simplify]: Simplify (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.765 * [backup-simplify]: Simplify (* -1 (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) into (* -1 (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) 1.765 * [backup-simplify]: Simplify (* -1 (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) into (* -1 (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) 1.768 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) (/ 0 R)))) into 0 1.769 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R))) into 0 1.769 * [taylor]: Taking taylor expansion of 0 in phi2 1.769 * [backup-simplify]: Simplify 0 into 0 1.769 * [taylor]: Taking taylor expansion of 0 in lambda1 1.769 * [backup-simplify]: Simplify 0 into 0 1.769 * [taylor]: Taking taylor expansion of 0 in lambda2 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 1.770 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) (/ 0 R)))) into 0 1.771 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R))) into 0 1.771 * [taylor]: Taking taylor expansion of 0 in lambda1 1.771 * [backup-simplify]: Simplify 0 into 0 1.771 * [taylor]: Taking taylor expansion of 0 in lambda2 1.771 * [backup-simplify]: Simplify 0 into 0 1.771 * [taylor]: Taking taylor expansion of 0 in R 1.771 * [backup-simplify]: Simplify 0 into 0 1.771 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) (/ 0 R)))) into 0 1.772 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R))) into 0 1.772 * [taylor]: Taking taylor expansion of 0 in lambda2 1.772 * [backup-simplify]: Simplify 0 into 0 1.772 * [taylor]: Taking taylor expansion of 0 in R 1.772 * [backup-simplify]: Simplify 0 into 0 1.773 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) (/ 0 R)))) into 0 1.774 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R))) into 0 1.774 * [taylor]: Taking taylor expansion of 0 in R 1.774 * [backup-simplify]: Simplify 0 into 0 1.775 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) (/ 0 1)))) into 0 1.776 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))))) into 0 1.776 * [backup-simplify]: Simplify 0 into 0 1.776 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 1.777 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)))) into 0 1.777 * [taylor]: Taking taylor expansion of 0 in phi2 1.777 * [backup-simplify]: Simplify 0 into 0 1.777 * [taylor]: Taking taylor expansion of 0 in lambda1 1.777 * [backup-simplify]: Simplify 0 into 0 1.777 * [taylor]: Taking taylor expansion of 0 in lambda2 1.777 * [backup-simplify]: Simplify 0 into 0 1.777 * [taylor]: Taking taylor expansion of 0 in R 1.778 * [backup-simplify]: Simplify 0 into 0 1.778 * [taylor]: Taking taylor expansion of 0 in lambda1 1.778 * [backup-simplify]: Simplify 0 into 0 1.778 * [taylor]: Taking taylor expansion of 0 in lambda2 1.778 * [backup-simplify]: Simplify 0 into 0 1.778 * [taylor]: Taking taylor expansion of 0 in R 1.778 * [backup-simplify]: Simplify 0 into 0 1.778 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 1.779 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)))) into 0 1.779 * [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 * [taylor]: Taking taylor expansion of 0 in R 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 * [taylor]: Taking taylor expansion of 0 in R 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 * [taylor]: Taking taylor expansion of 0 in R 1.780 * [backup-simplify]: Simplify 0 into 0 1.780 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 1.781 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)))) into 0 1.781 * [taylor]: Taking taylor expansion of 0 in lambda2 1.781 * [backup-simplify]: Simplify 0 into 0 1.781 * [taylor]: Taking taylor expansion of 0 in R 1.781 * [backup-simplify]: Simplify 0 into 0 1.781 * [taylor]: Taking taylor expansion of 0 in R 1.781 * [backup-simplify]: Simplify 0 into 0 1.781 * [taylor]: Taking taylor expansion of 0 in R 1.781 * [backup-simplify]: Simplify 0 into 0 1.781 * [taylor]: Taking taylor expansion of 0 in R 1.781 * [backup-simplify]: Simplify 0 into 0 1.782 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 1.783 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)))) into 0 1.783 * [taylor]: Taking taylor expansion of 0 in R 1.783 * [backup-simplify]: Simplify 0 into 0 1.783 * [backup-simplify]: Simplify 0 into 0 1.783 * [backup-simplify]: Simplify 0 into 0 1.783 * [backup-simplify]: Simplify 0 into 0 1.783 * [backup-simplify]: Simplify 0 into 0 1.784 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.785 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))))) into 0 1.785 * [backup-simplify]: Simplify 0 into 0 1.786 * [backup-simplify]: Simplify (* (* -1 (acos (- (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2))))))) (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2)))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (sin (/ 1 (/ 1 (- lambda2)))) (cos (/ -1 (/ 1 (- phi2)))))))))) (* (/ 1 (/ 1 (- R))) (* 1 (* 1 (* 1 1))))) into (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) R) 1.787 * * * [progress]: simplifying candidates 1.788 * [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 (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))))) (log (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (log (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (log (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (log 1) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (log (exp (/ PI 2))) (log (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (log (exp (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))))) (log (exp (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (log (exp 1)) (log (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (exp (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (* (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))))) (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (* (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (exp (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (exp (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (exp 1) (exp (/ PI 2)) (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (exp (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (* (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (* (* (exp (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))))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) R) (+ (log (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (log R)) (log (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) R)) (exp (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) R)) (* (* (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (* (* R R) R)) (* (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) R)) (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) R))) (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) R)) (* (* (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) R) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) R)) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) R)) (sqrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) R)) (sqrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) R)) (* (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (sqrt R)) (* (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (sqrt R)) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (* (cbrt R) (cbrt R))) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (sqrt R)) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) 1) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) R) (* (log (exp (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))))) R) (* (log (exp (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) R) (* (log (exp 1)) R) (* (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) R) (* (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) R) (* (log (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 lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2)))))))) (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) R) 1.788 * [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 (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (- (* (cos h2) (cos h1)) (* (sin h2) (sin (- h1))))))))) (cbrt (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (- (* (cos h2) (cos h1)) (* (sin h2) (sin (- h1))))))))))) (log (cbrt (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (- (* (cos h2) (cos h1)) (* (sin h2) (sin (- h1)))))))))) (log (sqrt (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (- (* (cos h2) (cos h1)) (* (sin h2) (sin (- h1)))))))))) (log (sqrt (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (- (* (cos h2) (cos h1)) (* (sin h2) (sin (- h1)))))))))) (log 1) (log (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (- (* (cos h2) (cos h1)) (* (sin h2) (sin (- h1))))))))) (log (exp (/ h0 2))) (log (exp (asin (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (- (* (cos h2) (cos h1)) (* (sin h2) (sin (- h1))))))))) (log (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (- (* (cos h2) (cos h1)) (* (sin h2) (sin (- h1))))))))) (log (exp (* (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 (exp (sqrt (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (- (* (cos h2) (cos h1)) (* (sin h2) (sin (- h1)))))))))) (log (exp 1)) (log (log (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (- (* (cos h2) (cos h1)) (* (sin h2) (sin (- h1)))))))))) (exp (log (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (- (* (cos h2) (cos h1)) (* (sin h2) (sin (- h1)))))))))) (* (cbrt (log (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (- (* (cos h2) (cos h1)) (* (sin h2) (sin (- h1)))))))))) (cbrt (log (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (- (* (cos h2) (cos h1)) (* (sin h2) (sin (- h1))))))))))) (cbrt (log (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (- (* (cos h2) (cos h1)) (* (sin h2) (sin (- h1)))))))))) (* (* (log (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (- (* (cos h2) (cos h1)) (* (sin h2) (sin (- h1))))))))) (log (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (- (* (cos h2) (cos h1)) (* (sin h2) (sin (- h1)))))))))) (log (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (- (* (cos h2) (cos h1)) (* (sin h2) (sin (- h1)))))))))) (sqrt (log (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (- (* (cos h2) (cos h1)) (* (sin h2) (sin (- h1)))))))))) (sqrt (log (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (- (* (cos h2) (cos h1)) (* (sin h2) (sin (- h1)))))))))) (exp (* (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 (sqrt (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (- (* (cos h2) (cos h1)) (* (sin h2) (sin (- h1))))))))) (exp 1) (exp (/ h0 2)) (exp (asin (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (- (* (cos h2) (cos h1)) (* (sin h2) (sin (- h1)))))))) (log (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (- (* (cos h2) (cos h1)) (* (sin h2) (sin (- h1))))))))) (exp (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (- (* (cos h2) (cos h1)) (* (sin h2) (sin (- h1))))))))) (* (cbrt (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (- (* (cos h2) (cos h1)) (* (sin h2) (sin (- h1))))))))) (cbrt (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (- (* (cos h2) (cos h1)) (* (sin h2) (sin (- h1)))))))))) (cbrt (exp (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)))))))) (exp (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))))))))) (sqrt (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (- (* (cos h2) (cos h1)) (* (sin h2) (sin (- h1))))))))) (sqrt (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (- (* (cos h2) (cos h1)) (* (sin h2) (sin (- h1))))))))) (* (log (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (- (* (cos h2) (cos h1)) (* (sin h2) (sin (- h1))))))))) h5) (+ (log (log (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (- (* (cos h2) (cos h1)) (* (sin h2) (sin (- h1)))))))))) (log h5)) (log (* (log (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (- (* (cos h2) (cos h1)) (* (sin h2) (sin (- h1))))))))) h5)) (exp (* (log (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (- (* (cos h2) (cos h1)) (* (sin h2) (sin (- h1))))))))) h5)) (* (* (* (log (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (- (* (cos h2) (cos h1)) (* (sin h2) (sin (- h1))))))))) (log (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (- (* (cos h2) (cos h1)) (* (sin h2) (sin (- h1)))))))))) (log (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (- (* (cos h2) (cos h1)) (* (sin h2) (sin (- h1)))))))))) (* (* h5 h5) h5)) (* (cbrt (* (log (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (- (* (cos h2) (cos h1)) (* (sin h2) (sin (- h1))))))))) h5)) (cbrt (* (log (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (- (* (cos h2) (cos h1)) (* (sin h2) (sin (- h1))))))))) h5))) (cbrt (* (log (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (- (* (cos h2) (cos h1)) (* (sin h2) (sin (- h1))))))))) h5)) (* (* (* (log (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (- (* (cos h2) (cos h1)) (* (sin h2) (sin (- h1))))))))) h5) (* (log (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (- (* (cos h2) (cos h1)) (* (sin h2) (sin (- h1))))))))) h5)) (* (log (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (- (* (cos h2) (cos h1)) (* (sin h2) (sin (- h1))))))))) h5)) (sqrt (* (log (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (- (* (cos h2) (cos h1)) (* (sin h2) (sin (- h1))))))))) h5)) (sqrt (* (log (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (- (* (cos h2) (cos h1)) (* (sin h2) (sin (- h1))))))))) h5)) (* (sqrt (log (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (- (* (cos h2) (cos h1)) (* (sin h2) (sin (- h1)))))))))) (sqrt h5)) (* (sqrt (log (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (- (* (cos h2) (cos h1)) (* (sin h2) (sin (- h1)))))))))) (sqrt h5)) (* (log (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (- (* (cos h2) (cos h1)) (* (sin h2) (sin (- h1))))))))) (* (cbrt h5) (cbrt h5))) (* (log (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (- (* (cos h2) (cos h1)) (* (sin h2) (sin (- h1))))))))) (sqrt h5)) (* (log (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (- (* (cos h2) (cos h1)) (* (sin h2) (sin (- h1))))))))) 1) (* (log (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (- (* (cos h2) (cos h1)) (* (sin h2) (sin (- h1))))))))) h5) (* (log (exp (* (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))))))))))) h5) (* (log (exp (sqrt (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (- (* (cos h2) (cos h1)) (* (sin h2) (sin (- h1)))))))))) h5) (* (log (exp 1)) h5) (* (cbrt (log (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (- (* (cos h2) (cos h1)) (* (sin h2) (sin (- h1)))))))))) h5) (* (sqrt (log (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (- (* (cos h2) (cos h1)) (* (sin h2) (sin (- h1)))))))))) h5) (* (log (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 h2) (* (cos h4) (* (cos h3) (cos h1))))) (* (sin h2) (* (cos h4) (* (cos h3) (sin (- h1))))))) (acos (- (+ (* (sin h4) (sin h3)) (* (cos h2) (* (cos h4) (* (cos h3) (cos h1))))) (* (sin h2) (* (cos h4) (* (cos h3) (sin (- h1))))))) (acos (- (+ (* (sin h4) (sin h3)) (* (cos h2) (* (cos h4) (* (cos h3) (cos h1))))) (* (sin h2) (* (cos h4) (* (cos h3) (sin (* -1 h1))))))) (acos (- (+ (* (sin h4) (sin h3)) (* (cos h2) (* (cos h4) (* (cos h3) (cos h1))))) (* (sin h2) (* (cos h4) (* (cos h3) (sin (- h1))))))) (acos (- (+ (* (sin h4) (sin h3)) (* (cos h2) (* (cos h4) (* (cos h3) (cos h1))))) (* (sin h2) (* (cos h4) (* (cos h3) (sin (- h1))))))) (acos (- (+ (* (sin h4) (sin h3)) (* (cos h2) (* (cos h4) (* (cos h3) (cos h1))))) (* (sin h2) (* (cos h4) (* (cos h3) (sin (* -1 h1))))))) (exp (acos (- (+ (* (sin h4) (sin h3)) (* (cos h2) (* (cos h4) (* (cos h3) (cos h1))))) (* (sin h2) (* (cos h4) (* (cos h3) (sin (- h1)))))))) (exp (acos (- (+ (* (sin h4) (sin h3)) (* (cos h2) (* (cos h4) (* (cos h3) (cos h1))))) (* (sin h2) (* (cos h4) (* (cos h3) (sin (- h1)))))))) (exp (acos (- (+ (* (sin h4) (sin h3)) (* (cos h2) (* (cos h4) (* (cos h3) (cos h1))))) (* (sin h2) (* (cos h4) (* (cos h3) (sin (* -1 h1)))))))) (* (acos (- (+ (* (sin h4) (sin h3)) (* (cos h2) (* (cos h4) (* (cos h3) (cos h1))))) (* (sin h2) (* (cos h4) (* (cos h3) (sin (- h1))))))) h5) (* (acos (- (+ (* (sin h4) (sin h3)) (* (cos h2) (* (cos h4) (* (cos h3) (cos h1))))) (* (sin h2) (* (cos h4) (* (cos h3) (sin (- h1))))))) h5) (* (acos (- (+ (* (sin h4) (sin h3)) (* (cos h2) (* (cos h4) (* (cos h3) (cos h1))))) (* (sin h2) (* (cos h4) (* (cos h3) (sin (* -1 h1))))))) h5) 1.794 * * [simplify]: iteration 0 : 191 enodes (cost 1646 ) 1.796 * * [simplify]: iteration 1 : 418 enodes (cost 1435 ) 1.803 * * [simplify]: iteration 2 : 1067 enodes (cost 1383 ) 1.816 * * [simplify]: iteration 3 : 1785 enodes (cost 1383 ) 1.842 * * [simplify]: iteration 4 : 4492 enodes (cost 1379 ) 1.921 * * [simplify]: iteration 5 : 5002 enodes (cost 1379 ) 1.926 * * * [progress]: adding candidates to table 2.245 * * [progress]: iteration 4 / 4 2.245 * * * [progress]: picking best candidate 2.356 * * * * [pick]: Picked # 2.357 * * * [progress]: localizing error 2.396 * * * [progress]: generating rewritten candidates 2.396 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 2.413 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 2.457 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 2) 2.459 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 2.502 * * * [progress]: generating series expansions 2.502 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 2.503 * [backup-simplify]: Simplify (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) into (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) 2.503 * [approximate]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (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 2.503 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in lambda2 2.503 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 2.503 * [taylor]: Taking taylor expansion of 1/2 in lambda2 2.503 * [backup-simplify]: Simplify 1/2 into 1/2 2.503 * [taylor]: Taking taylor expansion of PI in lambda2 2.503 * [backup-simplify]: Simplify PI into PI 2.503 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda2 2.503 * [backup-simplify]: Simplify (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2.504 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in lambda1 2.504 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 2.504 * [taylor]: Taking taylor expansion of 1/2 in lambda1 2.504 * [backup-simplify]: Simplify 1/2 into 1/2 2.504 * [taylor]: Taking taylor expansion of PI in lambda1 2.504 * [backup-simplify]: Simplify PI into PI 2.504 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda1 2.504 * [backup-simplify]: Simplify (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2.504 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in phi2 2.504 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 2.504 * [taylor]: Taking taylor expansion of 1/2 in phi2 2.504 * [backup-simplify]: Simplify 1/2 into 1/2 2.504 * [taylor]: Taking taylor expansion of PI in phi2 2.504 * [backup-simplify]: Simplify PI into PI 2.504 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi2 2.504 * [backup-simplify]: Simplify (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2.504 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in phi1 2.505 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 2.505 * [taylor]: Taking taylor expansion of 1/2 in phi1 2.505 * [backup-simplify]: Simplify 1/2 into 1/2 2.505 * [taylor]: Taking taylor expansion of PI in phi1 2.505 * [backup-simplify]: Simplify PI into PI 2.505 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi1 2.505 * [backup-simplify]: Simplify (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2.505 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in phi1 2.505 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 2.505 * [taylor]: Taking taylor expansion of 1/2 in phi1 2.505 * [backup-simplify]: Simplify 1/2 into 1/2 2.505 * [taylor]: Taking taylor expansion of PI in phi1 2.505 * [backup-simplify]: Simplify PI into PI 2.505 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi1 2.505 * [backup-simplify]: Simplify (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2.506 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.506 * [backup-simplify]: Simplify (- (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) into (- (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) 2.507 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))))) into (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) 2.507 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in phi2 2.507 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 2.507 * [taylor]: Taking taylor expansion of 1/2 in phi2 2.507 * [backup-simplify]: Simplify 1/2 into 1/2 2.507 * [taylor]: Taking taylor expansion of PI in phi2 2.507 * [backup-simplify]: Simplify PI into PI 2.507 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi2 2.507 * [backup-simplify]: Simplify (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2.508 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.508 * [backup-simplify]: Simplify (- (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) into (- (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) 2.509 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))))) into (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) 2.509 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in lambda1 2.509 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 2.509 * [taylor]: Taking taylor expansion of 1/2 in lambda1 2.509 * [backup-simplify]: Simplify 1/2 into 1/2 2.509 * [taylor]: Taking taylor expansion of PI in lambda1 2.509 * [backup-simplify]: Simplify PI into PI 2.509 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda1 2.509 * [backup-simplify]: Simplify (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2.510 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.510 * [backup-simplify]: Simplify (- (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) into (- (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) 2.511 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))))) into (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) 2.511 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in lambda2 2.511 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 2.511 * [taylor]: Taking taylor expansion of 1/2 in lambda2 2.511 * [backup-simplify]: Simplify 1/2 into 1/2 2.511 * [taylor]: Taking taylor expansion of PI in lambda2 2.511 * [backup-simplify]: Simplify PI into PI 2.511 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda2 2.511 * [backup-simplify]: Simplify (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2.512 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.512 * [backup-simplify]: Simplify (- (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) into (- (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) 2.513 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))))) into (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) 2.513 * [backup-simplify]: Simplify (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) into (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) 2.514 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.514 * [backup-simplify]: Simplify (- 0) into 0 2.514 * [backup-simplify]: Simplify (+ 0 0) into 0 2.515 * [taylor]: Taking taylor expansion of 0 in phi2 2.515 * [backup-simplify]: Simplify 0 into 0 2.515 * [taylor]: Taking taylor expansion of 0 in lambda1 2.515 * [backup-simplify]: Simplify 0 into 0 2.515 * [taylor]: Taking taylor expansion of 0 in lambda2 2.515 * [backup-simplify]: Simplify 0 into 0 2.515 * [backup-simplify]: Simplify 0 into 0 2.515 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.515 * [backup-simplify]: Simplify (- 0) into 0 2.515 * [backup-simplify]: Simplify (+ 0 0) into 0 2.516 * [taylor]: Taking taylor expansion of 0 in lambda1 2.516 * [backup-simplify]: Simplify 0 into 0 2.516 * [taylor]: Taking taylor expansion of 0 in lambda2 2.516 * [backup-simplify]: Simplify 0 into 0 2.516 * [backup-simplify]: Simplify 0 into 0 2.516 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.516 * [backup-simplify]: Simplify (- 0) into 0 2.516 * [backup-simplify]: Simplify (+ 0 0) into 0 2.516 * [taylor]: Taking taylor expansion of 0 in lambda2 2.516 * [backup-simplify]: Simplify 0 into 0 2.517 * [backup-simplify]: Simplify 0 into 0 2.517 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.517 * [backup-simplify]: Simplify (- 0) into 0 2.517 * [backup-simplify]: Simplify (+ 0 0) into 0 2.517 * [backup-simplify]: Simplify 0 into 0 2.518 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.518 * [backup-simplify]: Simplify (- 0) into 0 2.518 * [backup-simplify]: Simplify (+ 0 0) into 0 2.518 * [taylor]: Taking taylor expansion of 0 in phi2 2.518 * [backup-simplify]: Simplify 0 into 0 2.519 * [taylor]: Taking taylor expansion of 0 in lambda1 2.519 * [backup-simplify]: Simplify 0 into 0 2.519 * [taylor]: Taking taylor expansion of 0 in lambda2 2.519 * [backup-simplify]: Simplify 0 into 0 2.519 * [backup-simplify]: Simplify 0 into 0 2.519 * [taylor]: Taking taylor expansion of 0 in lambda1 2.519 * [backup-simplify]: Simplify 0 into 0 2.519 * [taylor]: Taking taylor expansion of 0 in lambda2 2.519 * [backup-simplify]: Simplify 0 into 0 2.519 * [backup-simplify]: Simplify 0 into 0 2.519 * [backup-simplify]: Simplify (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) into (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) 2.520 * [backup-simplify]: Simplify (- (/ PI 2) (asin (+ (* (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 (- (* 1/2 PI) (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) 2.520 * [approximate]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.520 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in lambda2 2.520 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 2.520 * [taylor]: Taking taylor expansion of 1/2 in lambda2 2.520 * [backup-simplify]: Simplify 1/2 into 1/2 2.520 * [taylor]: Taking taylor expansion of PI in lambda2 2.520 * [backup-simplify]: Simplify PI into PI 2.520 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 2.521 * [backup-simplify]: Simplify (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2.521 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in lambda1 2.521 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 2.521 * [taylor]: Taking taylor expansion of 1/2 in lambda1 2.521 * [backup-simplify]: Simplify 1/2 into 1/2 2.521 * [taylor]: Taking taylor expansion of PI in lambda1 2.521 * [backup-simplify]: Simplify PI into PI 2.521 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 2.522 * [backup-simplify]: Simplify (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2.522 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in phi2 2.522 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 2.522 * [taylor]: Taking taylor expansion of 1/2 in phi2 2.522 * [backup-simplify]: Simplify 1/2 into 1/2 2.522 * [taylor]: Taking taylor expansion of PI in phi2 2.522 * [backup-simplify]: Simplify PI into PI 2.522 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 2.522 * [backup-simplify]: Simplify (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2.522 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in phi1 2.522 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 2.522 * [taylor]: Taking taylor expansion of 1/2 in phi1 2.522 * [backup-simplify]: Simplify 1/2 into 1/2 2.522 * [taylor]: Taking taylor expansion of PI in phi1 2.522 * [backup-simplify]: Simplify PI into PI 2.522 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 2.523 * [backup-simplify]: Simplify (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2.523 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in phi1 2.523 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 2.523 * [taylor]: Taking taylor expansion of 1/2 in phi1 2.523 * [backup-simplify]: Simplify 1/2 into 1/2 2.523 * [taylor]: Taking taylor expansion of PI in phi1 2.523 * [backup-simplify]: Simplify PI into PI 2.523 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 2.524 * [backup-simplify]: Simplify (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2.524 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.525 * [backup-simplify]: Simplify (- (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) into (- (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) 2.526 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))))) into (- (* 1/2 PI) (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) 2.526 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in phi2 2.526 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 2.526 * [taylor]: Taking taylor expansion of 1/2 in phi2 2.526 * [backup-simplify]: Simplify 1/2 into 1/2 2.526 * [taylor]: Taking taylor expansion of PI in phi2 2.526 * [backup-simplify]: Simplify PI into PI 2.526 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 2.526 * [backup-simplify]: Simplify (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2.527 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.527 * [backup-simplify]: Simplify (- (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) into (- (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) 2.528 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))))) into (- (* 1/2 PI) (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) 2.528 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in lambda1 2.528 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 2.528 * [taylor]: Taking taylor expansion of 1/2 in lambda1 2.528 * [backup-simplify]: Simplify 1/2 into 1/2 2.528 * [taylor]: Taking taylor expansion of PI in lambda1 2.528 * [backup-simplify]: Simplify PI into PI 2.528 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 2.529 * [backup-simplify]: Simplify (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2.529 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.530 * [backup-simplify]: Simplify (- (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) into (- (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) 2.530 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))))) into (- (* 1/2 PI) (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) 2.531 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in lambda2 2.531 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 2.531 * [taylor]: Taking taylor expansion of 1/2 in lambda2 2.531 * [backup-simplify]: Simplify 1/2 into 1/2 2.531 * [taylor]: Taking taylor expansion of PI in lambda2 2.531 * [backup-simplify]: Simplify PI into PI 2.531 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 2.531 * [backup-simplify]: Simplify (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2.531 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.532 * [backup-simplify]: Simplify (- (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) into (- (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) 2.533 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))))) into (- (* 1/2 PI) (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) 2.534 * [backup-simplify]: Simplify (- (* 1/2 PI) (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) into (- (* 1/2 PI) (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) 2.534 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.535 * [backup-simplify]: Simplify (- 0) into 0 2.535 * [backup-simplify]: Simplify (+ 0 0) into 0 2.535 * [taylor]: Taking taylor expansion of 0 in phi2 2.535 * [backup-simplify]: Simplify 0 into 0 2.535 * [taylor]: Taking taylor expansion of 0 in lambda1 2.535 * [backup-simplify]: Simplify 0 into 0 2.535 * [taylor]: Taking taylor expansion of 0 in lambda2 2.535 * [backup-simplify]: Simplify 0 into 0 2.535 * [backup-simplify]: Simplify 0 into 0 2.535 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.536 * [backup-simplify]: Simplify (- 0) into 0 2.536 * [backup-simplify]: Simplify (+ 0 0) into 0 2.536 * [taylor]: Taking taylor expansion of 0 in lambda1 2.536 * [backup-simplify]: Simplify 0 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 (+ (* 1/2 0) (* 0 PI)) into 0 2.537 * [backup-simplify]: Simplify (- 0) into 0 2.537 * [backup-simplify]: Simplify (+ 0 0) into 0 2.537 * [taylor]: Taking taylor expansion of 0 in lambda2 2.537 * [backup-simplify]: Simplify 0 into 0 2.537 * [backup-simplify]: Simplify 0 into 0 2.537 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.537 * [backup-simplify]: Simplify (- 0) into 0 2.538 * [backup-simplify]: Simplify (+ 0 0) into 0 2.538 * [backup-simplify]: Simplify 0 into 0 2.538 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.538 * [backup-simplify]: Simplify (- 0) into 0 2.539 * [backup-simplify]: Simplify (+ 0 0) into 0 2.539 * [taylor]: Taking taylor expansion of 0 in phi2 2.539 * [backup-simplify]: Simplify 0 into 0 2.539 * [taylor]: Taking taylor expansion of 0 in lambda1 2.539 * [backup-simplify]: Simplify 0 into 0 2.539 * [taylor]: Taking taylor expansion of 0 in lambda2 2.539 * [backup-simplify]: Simplify 0 into 0 2.539 * [backup-simplify]: Simplify 0 into 0 2.539 * [taylor]: Taking taylor expansion of 0 in lambda1 2.539 * [backup-simplify]: Simplify 0 into 0 2.539 * [taylor]: Taking taylor expansion of 0 in lambda2 2.539 * [backup-simplify]: Simplify 0 into 0 2.539 * [backup-simplify]: Simplify 0 into 0 2.540 * [backup-simplify]: Simplify (- (* 1/2 PI) (asin (- (+ (* (sin (/ 1 (/ 1 phi1))) (sin (/ 1 (/ 1 phi2)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi1))) (cos (/ 1 (/ 1 lambda1))))))) (* (sin (/ 1 (/ 1 lambda1))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 phi1))) (sin (- (/ 1 (/ 1 lambda2)))))))))) into (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) 2.541 * [backup-simplify]: Simplify (- (/ PI 2) (asin (+ (* (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 (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) 2.541 * [approximate]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.541 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in lambda2 2.541 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 2.541 * [taylor]: Taking taylor expansion of 1/2 in lambda2 2.541 * [backup-simplify]: Simplify 1/2 into 1/2 2.541 * [taylor]: Taking taylor expansion of PI in lambda2 2.541 * [backup-simplify]: Simplify PI into PI 2.541 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 2.541 * [backup-simplify]: Simplify (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2.541 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in lambda1 2.541 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 2.542 * [taylor]: Taking taylor expansion of 1/2 in lambda1 2.542 * [backup-simplify]: Simplify 1/2 into 1/2 2.542 * [taylor]: Taking taylor expansion of PI in lambda1 2.542 * [backup-simplify]: Simplify PI into PI 2.542 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 2.542 * [backup-simplify]: Simplify (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2.542 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in phi2 2.542 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 2.542 * [taylor]: Taking taylor expansion of 1/2 in phi2 2.542 * [backup-simplify]: Simplify 1/2 into 1/2 2.542 * [taylor]: Taking taylor expansion of PI in phi2 2.542 * [backup-simplify]: Simplify PI into PI 2.542 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 2.543 * [backup-simplify]: Simplify (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2.543 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in phi1 2.543 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 2.543 * [taylor]: Taking taylor expansion of 1/2 in phi1 2.543 * [backup-simplify]: Simplify 1/2 into 1/2 2.543 * [taylor]: Taking taylor expansion of PI in phi1 2.543 * [backup-simplify]: Simplify PI into PI 2.543 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 2.543 * [backup-simplify]: Simplify (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2.543 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in phi1 2.543 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 2.543 * [taylor]: Taking taylor expansion of 1/2 in phi1 2.543 * [backup-simplify]: Simplify 1/2 into 1/2 2.543 * [taylor]: Taking taylor expansion of PI in phi1 2.543 * [backup-simplify]: Simplify PI into PI 2.543 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 2.544 * [backup-simplify]: Simplify (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2.544 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.545 * [backup-simplify]: Simplify (- (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) into (- (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) 2.546 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))))) into (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) 2.546 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in phi2 2.546 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 2.546 * [taylor]: Taking taylor expansion of 1/2 in phi2 2.546 * [backup-simplify]: Simplify 1/2 into 1/2 2.546 * [taylor]: Taking taylor expansion of PI in phi2 2.546 * [backup-simplify]: Simplify PI into PI 2.546 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 2.546 * [backup-simplify]: Simplify (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2.547 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.547 * [backup-simplify]: Simplify (- (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) into (- (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) 2.548 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))))) into (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) 2.548 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in lambda1 2.548 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 2.548 * [taylor]: Taking taylor expansion of 1/2 in lambda1 2.548 * [backup-simplify]: Simplify 1/2 into 1/2 2.548 * [taylor]: Taking taylor expansion of PI in lambda1 2.548 * [backup-simplify]: Simplify PI into PI 2.548 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 2.549 * [backup-simplify]: Simplify (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2.549 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.549 * [backup-simplify]: Simplify (- (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) into (- (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) 2.550 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))))) into (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) 2.550 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in lambda2 2.550 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 2.550 * [taylor]: Taking taylor expansion of 1/2 in lambda2 2.550 * [backup-simplify]: Simplify 1/2 into 1/2 2.550 * [taylor]: Taking taylor expansion of PI in lambda2 2.550 * [backup-simplify]: Simplify PI into PI 2.550 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 2.551 * [backup-simplify]: Simplify (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2.551 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.552 * [backup-simplify]: Simplify (- (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) into (- (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) 2.553 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))))) into (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) 2.553 * [backup-simplify]: Simplify (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) into (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) 2.554 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.554 * [backup-simplify]: Simplify (- 0) into 0 2.554 * [backup-simplify]: Simplify (+ 0 0) into 0 2.554 * [taylor]: Taking taylor expansion of 0 in phi2 2.554 * [backup-simplify]: Simplify 0 into 0 2.555 * [taylor]: Taking taylor expansion of 0 in lambda1 2.555 * [backup-simplify]: Simplify 0 into 0 2.555 * [taylor]: Taking taylor expansion of 0 in lambda2 2.555 * [backup-simplify]: Simplify 0 into 0 2.555 * [backup-simplify]: Simplify 0 into 0 2.555 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.555 * [backup-simplify]: Simplify (- 0) into 0 2.555 * [backup-simplify]: Simplify (+ 0 0) into 0 2.555 * [taylor]: Taking taylor expansion of 0 in lambda1 2.555 * [backup-simplify]: Simplify 0 into 0 2.555 * [taylor]: Taking taylor expansion of 0 in lambda2 2.556 * [backup-simplify]: Simplify 0 into 0 2.556 * [backup-simplify]: Simplify 0 into 0 2.556 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.556 * [backup-simplify]: Simplify (- 0) into 0 2.556 * [backup-simplify]: Simplify (+ 0 0) into 0 2.556 * [taylor]: Taking taylor expansion of 0 in lambda2 2.556 * [backup-simplify]: Simplify 0 into 0 2.556 * [backup-simplify]: Simplify 0 into 0 2.557 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.557 * [backup-simplify]: Simplify (- 0) into 0 2.557 * [backup-simplify]: Simplify (+ 0 0) into 0 2.557 * [backup-simplify]: Simplify 0 into 0 2.558 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.558 * [backup-simplify]: Simplify (- 0) into 0 2.558 * [backup-simplify]: Simplify (+ 0 0) into 0 2.558 * [taylor]: Taking taylor expansion of 0 in phi2 2.558 * [backup-simplify]: Simplify 0 into 0 2.558 * [taylor]: Taking taylor expansion of 0 in lambda1 2.558 * [backup-simplify]: Simplify 0 into 0 2.558 * [taylor]: Taking taylor expansion of 0 in lambda2 2.558 * [backup-simplify]: Simplify 0 into 0 2.558 * [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 * [backup-simplify]: Simplify 0 into 0 2.560 * [backup-simplify]: Simplify (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2))))))) (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2)))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (sin (/ 1 (/ 1 (- lambda2)))) (cos (/ -1 (/ 1 (- phi2)))))))))) into (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2)))))))) 2.560 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 2.560 * [backup-simplify]: Simplify (log (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) into (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) 2.560 * [approximate]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (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 2.560 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in lambda2 2.561 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 2.561 * [taylor]: Taking taylor expansion of 1/2 in lambda2 2.561 * [backup-simplify]: Simplify 1/2 into 1/2 2.561 * [taylor]: Taking taylor expansion of PI in lambda2 2.561 * [backup-simplify]: Simplify PI into PI 2.561 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda2 2.561 * [backup-simplify]: Simplify (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2.561 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in lambda1 2.561 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 2.561 * [taylor]: Taking taylor expansion of 1/2 in lambda1 2.561 * [backup-simplify]: Simplify 1/2 into 1/2 2.561 * [taylor]: Taking taylor expansion of PI in lambda1 2.561 * [backup-simplify]: Simplify PI into PI 2.561 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda1 2.561 * [backup-simplify]: Simplify (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2.561 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in phi2 2.561 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 2.562 * [taylor]: Taking taylor expansion of 1/2 in phi2 2.562 * [backup-simplify]: Simplify 1/2 into 1/2 2.562 * [taylor]: Taking taylor expansion of PI in phi2 2.562 * [backup-simplify]: Simplify PI into PI 2.562 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi2 2.562 * [backup-simplify]: Simplify (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2.562 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in phi1 2.562 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 2.562 * [taylor]: Taking taylor expansion of 1/2 in phi1 2.562 * [backup-simplify]: Simplify 1/2 into 1/2 2.562 * [taylor]: Taking taylor expansion of PI in phi1 2.562 * [backup-simplify]: Simplify PI into PI 2.562 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi1 2.562 * [backup-simplify]: Simplify (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2.562 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in phi1 2.562 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 2.562 * [taylor]: Taking taylor expansion of 1/2 in phi1 2.563 * [backup-simplify]: Simplify 1/2 into 1/2 2.563 * [taylor]: Taking taylor expansion of PI in phi1 2.563 * [backup-simplify]: Simplify PI into PI 2.563 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi1 2.563 * [backup-simplify]: Simplify (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2.563 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.567 * [backup-simplify]: Simplify (- (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) into (- (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) 2.568 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))))) into (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) 2.568 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in phi2 2.568 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 2.568 * [taylor]: Taking taylor expansion of 1/2 in phi2 2.568 * [backup-simplify]: Simplify 1/2 into 1/2 2.568 * [taylor]: Taking taylor expansion of PI in phi2 2.568 * [backup-simplify]: Simplify PI into PI 2.568 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi2 2.568 * [backup-simplify]: Simplify (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2.569 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.569 * [backup-simplify]: Simplify (- (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) into (- (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) 2.570 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))))) into (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) 2.570 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in lambda1 2.570 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 2.570 * [taylor]: Taking taylor expansion of 1/2 in lambda1 2.570 * [backup-simplify]: Simplify 1/2 into 1/2 2.570 * [taylor]: Taking taylor expansion of PI in lambda1 2.570 * [backup-simplify]: Simplify PI into PI 2.570 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda1 2.570 * [backup-simplify]: Simplify (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2.571 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.571 * [backup-simplify]: Simplify (- (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) into (- (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) 2.572 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))))) into (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) 2.572 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in lambda2 2.572 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 2.572 * [taylor]: Taking taylor expansion of 1/2 in lambda2 2.572 * [backup-simplify]: Simplify 1/2 into 1/2 2.572 * [taylor]: Taking taylor expansion of PI in lambda2 2.572 * [backup-simplify]: Simplify PI into PI 2.572 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda2 2.572 * [backup-simplify]: Simplify (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2.573 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.573 * [backup-simplify]: Simplify (- (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) into (- (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) 2.574 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))))) into (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) 2.574 * [backup-simplify]: Simplify (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) into (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) 2.575 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.575 * [backup-simplify]: Simplify (- 0) into 0 2.576 * [backup-simplify]: Simplify (+ 0 0) into 0 2.576 * [taylor]: Taking taylor expansion of 0 in phi2 2.576 * [backup-simplify]: Simplify 0 into 0 2.576 * [taylor]: Taking taylor expansion of 0 in lambda1 2.576 * [backup-simplify]: Simplify 0 into 0 2.576 * [taylor]: Taking taylor expansion of 0 in lambda2 2.576 * [backup-simplify]: Simplify 0 into 0 2.576 * [backup-simplify]: Simplify 0 into 0 2.576 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.577 * [backup-simplify]: Simplify (- 0) into 0 2.577 * [backup-simplify]: Simplify (+ 0 0) into 0 2.577 * [taylor]: Taking taylor expansion of 0 in lambda1 2.577 * [backup-simplify]: Simplify 0 into 0 2.577 * [taylor]: Taking taylor expansion of 0 in lambda2 2.577 * [backup-simplify]: Simplify 0 into 0 2.577 * [backup-simplify]: Simplify 0 into 0 2.577 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.578 * [backup-simplify]: Simplify (- 0) into 0 2.578 * [backup-simplify]: Simplify (+ 0 0) into 0 2.578 * [taylor]: Taking taylor expansion of 0 in lambda2 2.578 * [backup-simplify]: Simplify 0 into 0 2.578 * [backup-simplify]: Simplify 0 into 0 2.578 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.579 * [backup-simplify]: Simplify (- 0) into 0 2.579 * [backup-simplify]: Simplify (+ 0 0) into 0 2.579 * [backup-simplify]: Simplify 0 into 0 2.580 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.580 * [backup-simplify]: Simplify (- 0) into 0 2.580 * [backup-simplify]: Simplify (+ 0 0) into 0 2.580 * [taylor]: Taking taylor expansion of 0 in phi2 2.580 * [backup-simplify]: Simplify 0 into 0 2.580 * [taylor]: Taking taylor expansion of 0 in lambda1 2.580 * [backup-simplify]: Simplify 0 into 0 2.580 * [taylor]: Taking taylor expansion of 0 in lambda2 2.580 * [backup-simplify]: Simplify 0 into 0 2.580 * [backup-simplify]: Simplify 0 into 0 2.580 * [taylor]: Taking taylor expansion of 0 in lambda1 2.580 * [backup-simplify]: Simplify 0 into 0 2.580 * [taylor]: Taking taylor expansion of 0 in lambda2 2.580 * [backup-simplify]: Simplify 0 into 0 2.580 * [backup-simplify]: Simplify 0 into 0 2.581 * [backup-simplify]: Simplify (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) into (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) 2.582 * [backup-simplify]: Simplify (log (exp (- (/ PI 2) (asin (+ (* (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 (- (* 1/2 PI) (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) 2.582 * [approximate]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.582 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in lambda2 2.582 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 2.582 * [taylor]: Taking taylor expansion of 1/2 in lambda2 2.582 * [backup-simplify]: Simplify 1/2 into 1/2 2.582 * [taylor]: Taking taylor expansion of PI in lambda2 2.582 * [backup-simplify]: Simplify PI into PI 2.582 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 2.583 * [backup-simplify]: Simplify (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2.583 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in lambda1 2.583 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 2.583 * [taylor]: Taking taylor expansion of 1/2 in lambda1 2.583 * [backup-simplify]: Simplify 1/2 into 1/2 2.583 * [taylor]: Taking taylor expansion of PI in lambda1 2.583 * [backup-simplify]: Simplify PI into PI 2.583 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 2.583 * [backup-simplify]: Simplify (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2.583 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in phi2 2.584 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 2.584 * [taylor]: Taking taylor expansion of 1/2 in phi2 2.584 * [backup-simplify]: Simplify 1/2 into 1/2 2.584 * [taylor]: Taking taylor expansion of PI in phi2 2.584 * [backup-simplify]: Simplify PI into PI 2.584 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 2.584 * [backup-simplify]: Simplify (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2.584 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in phi1 2.584 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 2.584 * [taylor]: Taking taylor expansion of 1/2 in phi1 2.584 * [backup-simplify]: Simplify 1/2 into 1/2 2.584 * [taylor]: Taking taylor expansion of PI in phi1 2.584 * [backup-simplify]: Simplify PI into PI 2.584 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 2.585 * [backup-simplify]: Simplify (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2.585 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in phi1 2.585 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 2.585 * [taylor]: Taking taylor expansion of 1/2 in phi1 2.585 * [backup-simplify]: Simplify 1/2 into 1/2 2.585 * [taylor]: Taking taylor expansion of PI in phi1 2.585 * [backup-simplify]: Simplify PI into PI 2.585 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 2.585 * [backup-simplify]: Simplify (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2.586 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.586 * [backup-simplify]: Simplify (- (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) into (- (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) 2.587 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))))) into (- (* 1/2 PI) (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) 2.587 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in phi2 2.587 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 2.587 * [taylor]: Taking taylor expansion of 1/2 in phi2 2.587 * [backup-simplify]: Simplify 1/2 into 1/2 2.587 * [taylor]: Taking taylor expansion of PI in phi2 2.587 * [backup-simplify]: Simplify PI into PI 2.587 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 2.588 * [backup-simplify]: Simplify (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2.588 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.589 * [backup-simplify]: Simplify (- (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) into (- (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) 2.590 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))))) into (- (* 1/2 PI) (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) 2.590 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in lambda1 2.590 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 2.590 * [taylor]: Taking taylor expansion of 1/2 in lambda1 2.590 * [backup-simplify]: Simplify 1/2 into 1/2 2.590 * [taylor]: Taking taylor expansion of PI in lambda1 2.590 * [backup-simplify]: Simplify PI into PI 2.590 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 2.590 * [backup-simplify]: Simplify (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2.591 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.591 * [backup-simplify]: Simplify (- (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) into (- (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) 2.592 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))))) into (- (* 1/2 PI) (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) 2.592 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in lambda2 2.592 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 2.592 * [taylor]: Taking taylor expansion of 1/2 in lambda2 2.592 * [backup-simplify]: Simplify 1/2 into 1/2 2.592 * [taylor]: Taking taylor expansion of PI in lambda2 2.592 * [backup-simplify]: Simplify PI into PI 2.592 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 2.593 * [backup-simplify]: Simplify (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2.593 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.594 * [backup-simplify]: Simplify (- (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) into (- (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) 2.595 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))))) into (- (* 1/2 PI) (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) 2.595 * [backup-simplify]: Simplify (- (* 1/2 PI) (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) into (- (* 1/2 PI) (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) 2.596 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.596 * [backup-simplify]: Simplify (- 0) into 0 2.597 * [backup-simplify]: Simplify (+ 0 0) into 0 2.597 * [taylor]: Taking taylor expansion of 0 in phi2 2.597 * [backup-simplify]: Simplify 0 into 0 2.597 * [taylor]: Taking taylor expansion of 0 in lambda1 2.597 * [backup-simplify]: Simplify 0 into 0 2.597 * [taylor]: Taking taylor expansion of 0 in lambda2 2.597 * [backup-simplify]: Simplify 0 into 0 2.597 * [backup-simplify]: Simplify 0 into 0 2.597 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.597 * [backup-simplify]: Simplify (- 0) into 0 2.598 * [backup-simplify]: Simplify (+ 0 0) into 0 2.598 * [taylor]: Taking taylor expansion of 0 in lambda1 2.598 * [backup-simplify]: Simplify 0 into 0 2.598 * [taylor]: Taking taylor expansion of 0 in lambda2 2.598 * [backup-simplify]: Simplify 0 into 0 2.598 * [backup-simplify]: Simplify 0 into 0 2.598 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.598 * [backup-simplify]: Simplify (- 0) into 0 2.599 * [backup-simplify]: Simplify (+ 0 0) into 0 2.599 * [taylor]: Taking taylor expansion of 0 in lambda2 2.599 * [backup-simplify]: Simplify 0 into 0 2.599 * [backup-simplify]: Simplify 0 into 0 2.599 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.599 * [backup-simplify]: Simplify (- 0) into 0 2.599 * [backup-simplify]: Simplify (+ 0 0) into 0 2.599 * [backup-simplify]: Simplify 0 into 0 2.600 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.600 * [backup-simplify]: Simplify (- 0) into 0 2.600 * [backup-simplify]: Simplify (+ 0 0) into 0 2.600 * [taylor]: Taking taylor expansion of 0 in phi2 2.600 * [backup-simplify]: Simplify 0 into 0 2.601 * [taylor]: Taking taylor expansion of 0 in lambda1 2.601 * [backup-simplify]: Simplify 0 into 0 2.601 * [taylor]: Taking taylor expansion of 0 in lambda2 2.601 * [backup-simplify]: Simplify 0 into 0 2.601 * [backup-simplify]: Simplify 0 into 0 2.601 * [taylor]: Taking taylor expansion of 0 in lambda1 2.601 * [backup-simplify]: Simplify 0 into 0 2.601 * [taylor]: Taking taylor expansion of 0 in lambda2 2.601 * [backup-simplify]: Simplify 0 into 0 2.601 * [backup-simplify]: Simplify 0 into 0 2.602 * [backup-simplify]: Simplify (- (* 1/2 PI) (asin (- (+ (* (sin (/ 1 (/ 1 phi1))) (sin (/ 1 (/ 1 phi2)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi1))) (cos (/ 1 (/ 1 lambda1))))))) (* (sin (/ 1 (/ 1 lambda1))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 phi1))) (sin (- (/ 1 (/ 1 lambda2)))))))))) into (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) 2.603 * [backup-simplify]: Simplify (log (exp (- (/ PI 2) (asin (+ (* (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 (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) 2.603 * [approximate]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.603 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in lambda2 2.603 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 2.603 * [taylor]: Taking taylor expansion of 1/2 in lambda2 2.603 * [backup-simplify]: Simplify 1/2 into 1/2 2.603 * [taylor]: Taking taylor expansion of PI in lambda2 2.603 * [backup-simplify]: Simplify PI into PI 2.603 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 2.603 * [backup-simplify]: Simplify (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2.603 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in lambda1 2.603 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 2.603 * [taylor]: Taking taylor expansion of 1/2 in lambda1 2.603 * [backup-simplify]: Simplify 1/2 into 1/2 2.603 * [taylor]: Taking taylor expansion of PI in lambda1 2.603 * [backup-simplify]: Simplify PI into PI 2.603 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 2.604 * [backup-simplify]: Simplify (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2.604 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in phi2 2.604 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 2.604 * [taylor]: Taking taylor expansion of 1/2 in phi2 2.604 * [backup-simplify]: Simplify 1/2 into 1/2 2.604 * [taylor]: Taking taylor expansion of PI in phi2 2.604 * [backup-simplify]: Simplify PI into PI 2.604 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 2.605 * [backup-simplify]: Simplify (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2.605 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in phi1 2.605 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 2.605 * [taylor]: Taking taylor expansion of 1/2 in phi1 2.605 * [backup-simplify]: Simplify 1/2 into 1/2 2.605 * [taylor]: Taking taylor expansion of PI in phi1 2.605 * [backup-simplify]: Simplify PI into PI 2.605 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 2.605 * [backup-simplify]: Simplify (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2.605 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in phi1 2.605 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 2.605 * [taylor]: Taking taylor expansion of 1/2 in phi1 2.605 * [backup-simplify]: Simplify 1/2 into 1/2 2.605 * [taylor]: Taking taylor expansion of PI in phi1 2.605 * [backup-simplify]: Simplify PI into PI 2.605 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 2.606 * [backup-simplify]: Simplify (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2.606 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.607 * [backup-simplify]: Simplify (- (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) into (- (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) 2.608 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))))) into (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) 2.608 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in phi2 2.608 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 2.608 * [taylor]: Taking taylor expansion of 1/2 in phi2 2.608 * [backup-simplify]: Simplify 1/2 into 1/2 2.608 * [taylor]: Taking taylor expansion of PI in phi2 2.608 * [backup-simplify]: Simplify PI into PI 2.608 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 2.608 * [backup-simplify]: Simplify (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2.609 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.609 * [backup-simplify]: Simplify (- (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) into (- (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) 2.610 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))))) into (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) 2.610 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in lambda1 2.610 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 2.610 * [taylor]: Taking taylor expansion of 1/2 in lambda1 2.610 * [backup-simplify]: Simplify 1/2 into 1/2 2.610 * [taylor]: Taking taylor expansion of PI in lambda1 2.610 * [backup-simplify]: Simplify PI into PI 2.610 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 2.611 * [backup-simplify]: Simplify (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2.611 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.611 * [backup-simplify]: Simplify (- (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) into (- (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) 2.612 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))))) into (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) 2.612 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in lambda2 2.612 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 2.612 * [taylor]: Taking taylor expansion of 1/2 in lambda2 2.612 * [backup-simplify]: Simplify 1/2 into 1/2 2.612 * [taylor]: Taking taylor expansion of PI in lambda2 2.612 * [backup-simplify]: Simplify PI into PI 2.612 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 2.613 * [backup-simplify]: Simplify (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2.613 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.614 * [backup-simplify]: Simplify (- (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) into (- (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) 2.615 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))))) into (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) 2.615 * [backup-simplify]: Simplify (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) into (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) 2.616 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.616 * [backup-simplify]: Simplify (- 0) into 0 2.616 * [backup-simplify]: Simplify (+ 0 0) into 0 2.616 * [taylor]: Taking taylor expansion of 0 in phi2 2.617 * [backup-simplify]: Simplify 0 into 0 2.617 * [taylor]: Taking taylor expansion of 0 in lambda1 2.617 * [backup-simplify]: Simplify 0 into 0 2.617 * [taylor]: Taking taylor expansion of 0 in lambda2 2.617 * [backup-simplify]: Simplify 0 into 0 2.617 * [backup-simplify]: Simplify 0 into 0 2.617 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.617 * [backup-simplify]: Simplify (- 0) into 0 2.617 * [backup-simplify]: Simplify (+ 0 0) into 0 2.618 * [taylor]: Taking taylor expansion of 0 in lambda1 2.618 * [backup-simplify]: Simplify 0 into 0 2.618 * [taylor]: Taking taylor expansion of 0 in lambda2 2.618 * [backup-simplify]: Simplify 0 into 0 2.618 * [backup-simplify]: Simplify 0 into 0 2.618 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.618 * [backup-simplify]: Simplify (- 0) into 0 2.619 * [backup-simplify]: Simplify (+ 0 0) into 0 2.619 * [taylor]: Taking taylor expansion of 0 in lambda2 2.619 * [backup-simplify]: Simplify 0 into 0 2.619 * [backup-simplify]: Simplify 0 into 0 2.619 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.619 * [backup-simplify]: Simplify (- 0) into 0 2.619 * [backup-simplify]: Simplify (+ 0 0) into 0 2.619 * [backup-simplify]: Simplify 0 into 0 2.620 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.620 * [backup-simplify]: Simplify (- 0) into 0 2.620 * [backup-simplify]: Simplify (+ 0 0) into 0 2.621 * [taylor]: Taking taylor expansion of 0 in phi2 2.621 * [backup-simplify]: Simplify 0 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 2.621 * [backup-simplify]: Simplify 0 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 2.621 * [backup-simplify]: Simplify 0 into 0 2.622 * [backup-simplify]: Simplify (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2))))))) (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2)))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (sin (/ 1 (/ 1 (- lambda2)))) (cos (/ -1 (/ 1 (- phi2)))))))))) into (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2)))))))) 2.622 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 2) 2.622 * [backup-simplify]: Simplify (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) into (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2.622 * [approximate]: Taking taylor expansion of (asin (- (+ (* (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 2.622 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda2 2.623 * [backup-simplify]: Simplify (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2.623 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda1 2.623 * [backup-simplify]: Simplify (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2.623 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi2 2.623 * [backup-simplify]: Simplify (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2.623 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi1 2.624 * [backup-simplify]: Simplify (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2.624 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi1 2.624 * [backup-simplify]: Simplify (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2.624 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi2 2.625 * [backup-simplify]: Simplify (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2.625 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda1 2.625 * [backup-simplify]: Simplify (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2.625 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda2 2.626 * [backup-simplify]: Simplify (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2.626 * [backup-simplify]: Simplify (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2.626 * [taylor]: Taking taylor expansion of 0 in phi2 2.626 * [backup-simplify]: Simplify 0 into 0 2.626 * [taylor]: Taking taylor expansion of 0 in lambda1 2.626 * [backup-simplify]: Simplify 0 into 0 2.626 * [taylor]: Taking taylor expansion of 0 in lambda2 2.626 * [backup-simplify]: Simplify 0 into 0 2.626 * [backup-simplify]: Simplify 0 into 0 2.626 * [taylor]: Taking taylor expansion of 0 in lambda1 2.626 * [backup-simplify]: Simplify 0 into 0 2.626 * [taylor]: Taking taylor expansion of 0 in lambda2 2.626 * [backup-simplify]: Simplify 0 into 0 2.626 * [backup-simplify]: Simplify 0 into 0 2.626 * [taylor]: Taking taylor expansion of 0 in lambda2 2.626 * [backup-simplify]: Simplify 0 into 0 2.626 * [backup-simplify]: Simplify 0 into 0 2.626 * [backup-simplify]: Simplify 0 into 0 2.626 * [taylor]: Taking taylor expansion of 0 in phi2 2.626 * [backup-simplify]: Simplify 0 into 0 2.626 * [taylor]: Taking taylor expansion of 0 in lambda1 2.626 * [backup-simplify]: Simplify 0 into 0 2.626 * [taylor]: Taking taylor expansion of 0 in lambda2 2.626 * [backup-simplify]: Simplify 0 into 0 2.626 * [backup-simplify]: Simplify 0 into 0 2.626 * [taylor]: Taking taylor expansion of 0 in lambda1 2.626 * [backup-simplify]: Simplify 0 into 0 2.626 * [taylor]: Taking taylor expansion of 0 in lambda2 2.626 * [backup-simplify]: Simplify 0 into 0 2.626 * [backup-simplify]: Simplify 0 into 0 2.627 * [backup-simplify]: Simplify (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2.627 * [backup-simplify]: Simplify (asin (+ (* (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 (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2.627 * [approximate]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.627 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 2.628 * [backup-simplify]: Simplify (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2.628 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 2.628 * [backup-simplify]: Simplify (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2.628 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 2.629 * [backup-simplify]: Simplify (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2.629 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 2.629 * [backup-simplify]: Simplify (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2.629 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 2.630 * [backup-simplify]: Simplify (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2.630 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 2.630 * [backup-simplify]: Simplify (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2.631 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 2.631 * [backup-simplify]: Simplify (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2.631 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 2.632 * [backup-simplify]: Simplify (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2.632 * [backup-simplify]: Simplify (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2.632 * [taylor]: Taking taylor expansion of 0 in phi2 2.632 * [backup-simplify]: Simplify 0 into 0 2.632 * [taylor]: Taking taylor expansion of 0 in lambda1 2.632 * [backup-simplify]: Simplify 0 into 0 2.632 * [taylor]: Taking taylor expansion of 0 in lambda2 2.632 * [backup-simplify]: Simplify 0 into 0 2.632 * [backup-simplify]: Simplify 0 into 0 2.632 * [taylor]: Taking taylor expansion of 0 in lambda1 2.632 * [backup-simplify]: Simplify 0 into 0 2.632 * [taylor]: Taking taylor expansion of 0 in lambda2 2.632 * [backup-simplify]: Simplify 0 into 0 2.632 * [backup-simplify]: Simplify 0 into 0 2.632 * [taylor]: Taking taylor expansion of 0 in lambda2 2.632 * [backup-simplify]: Simplify 0 into 0 2.632 * [backup-simplify]: Simplify 0 into 0 2.632 * [backup-simplify]: Simplify 0 into 0 2.632 * [taylor]: Taking taylor expansion of 0 in phi2 2.632 * [backup-simplify]: Simplify 0 into 0 2.633 * [taylor]: Taking taylor expansion of 0 in lambda1 2.633 * [backup-simplify]: Simplify 0 into 0 2.633 * [taylor]: Taking taylor expansion of 0 in lambda2 2.633 * [backup-simplify]: Simplify 0 into 0 2.633 * [backup-simplify]: Simplify 0 into 0 2.633 * [taylor]: Taking taylor expansion of 0 in lambda1 2.633 * [backup-simplify]: Simplify 0 into 0 2.633 * [taylor]: Taking taylor expansion of 0 in lambda2 2.633 * [backup-simplify]: Simplify 0 into 0 2.633 * [backup-simplify]: Simplify 0 into 0 2.633 * [backup-simplify]: Simplify (asin (- (+ (* (sin (/ 1 (/ 1 phi1))) (sin (/ 1 (/ 1 phi2)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi1))) (cos (/ 1 (/ 1 lambda1))))))) (* (sin (/ 1 (/ 1 lambda1))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 phi1))) (sin (- (/ 1 (/ 1 lambda2))))))))) into (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2.634 * [backup-simplify]: Simplify (asin (+ (* (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 (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2.634 * [approximate]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.634 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 2.634 * [backup-simplify]: Simplify (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2.634 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 2.635 * [backup-simplify]: Simplify (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2.635 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 2.635 * [backup-simplify]: Simplify (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2.635 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 2.636 * [backup-simplify]: Simplify (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2.636 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 2.636 * [backup-simplify]: Simplify (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2.636 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 2.637 * [backup-simplify]: Simplify (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2.637 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 2.637 * [backup-simplify]: Simplify (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2.637 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 2.638 * [backup-simplify]: Simplify (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2.638 * [backup-simplify]: Simplify (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2.639 * [taylor]: Taking taylor expansion of 0 in phi2 2.639 * [backup-simplify]: Simplify 0 into 0 2.639 * [taylor]: Taking taylor expansion of 0 in lambda1 2.639 * [backup-simplify]: Simplify 0 into 0 2.639 * [taylor]: Taking taylor expansion of 0 in lambda2 2.639 * [backup-simplify]: Simplify 0 into 0 2.639 * [backup-simplify]: Simplify 0 into 0 2.639 * [taylor]: Taking taylor expansion of 0 in lambda1 2.639 * [backup-simplify]: Simplify 0 into 0 2.639 * [taylor]: Taking taylor expansion of 0 in lambda2 2.639 * [backup-simplify]: Simplify 0 into 0 2.639 * [backup-simplify]: Simplify 0 into 0 2.639 * [taylor]: Taking taylor expansion of 0 in lambda2 2.639 * [backup-simplify]: Simplify 0 into 0 2.639 * [backup-simplify]: Simplify 0 into 0 2.639 * [backup-simplify]: Simplify 0 into 0 2.639 * [taylor]: Taking taylor expansion of 0 in phi2 2.639 * [backup-simplify]: Simplify 0 into 0 2.639 * [taylor]: Taking taylor expansion of 0 in lambda1 2.639 * [backup-simplify]: Simplify 0 into 0 2.639 * [taylor]: Taking taylor expansion of 0 in lambda2 2.639 * [backup-simplify]: Simplify 0 into 0 2.639 * [backup-simplify]: Simplify 0 into 0 2.639 * [taylor]: Taking taylor expansion of 0 in lambda1 2.639 * [backup-simplify]: Simplify 0 into 0 2.639 * [taylor]: Taking taylor expansion of 0 in lambda2 2.639 * [backup-simplify]: Simplify 0 into 0 2.639 * [backup-simplify]: Simplify 0 into 0 2.640 * [backup-simplify]: Simplify (asin (- (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2))))))) (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2)))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (sin (/ 1 (/ 1 (- lambda2)))) (cos (/ -1 (/ 1 (- phi2))))))))) into (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) 2.640 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 2.641 * [backup-simplify]: Simplify (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) into (exp (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))))) 2.641 * [approximate]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (- (+ (* (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 2.641 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))))) in lambda2 2.641 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in lambda2 2.641 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 2.641 * [taylor]: Taking taylor expansion of 1/2 in lambda2 2.641 * [backup-simplify]: Simplify 1/2 into 1/2 2.641 * [taylor]: Taking taylor expansion of PI in lambda2 2.641 * [backup-simplify]: Simplify PI into PI 2.641 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda2 2.641 * [backup-simplify]: Simplify (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2.642 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.642 * [backup-simplify]: Simplify (- (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) into (- (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) 2.643 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))))) into (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) 2.643 * [backup-simplify]: Simplify (exp (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))))) into (exp (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))))) 2.643 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))))) in lambda1 2.643 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in lambda1 2.643 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 2.643 * [taylor]: Taking taylor expansion of 1/2 in lambda1 2.643 * [backup-simplify]: Simplify 1/2 into 1/2 2.644 * [taylor]: Taking taylor expansion of PI in lambda1 2.644 * [backup-simplify]: Simplify PI into PI 2.644 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda1 2.644 * [backup-simplify]: Simplify (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2.644 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.645 * [backup-simplify]: Simplify (- (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) into (- (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) 2.645 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))))) into (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) 2.646 * [backup-simplify]: Simplify (exp (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))))) into (exp (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))))) 2.646 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))))) in phi2 2.646 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in phi2 2.646 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 2.646 * [taylor]: Taking taylor expansion of 1/2 in phi2 2.646 * [backup-simplify]: Simplify 1/2 into 1/2 2.646 * [taylor]: Taking taylor expansion of PI in phi2 2.646 * [backup-simplify]: Simplify PI into PI 2.646 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi2 2.647 * [backup-simplify]: Simplify (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2.647 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.647 * [backup-simplify]: Simplify (- (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) into (- (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) 2.648 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))))) into (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) 2.649 * [backup-simplify]: Simplify (exp (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))))) into (exp (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))))) 2.649 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))))) in phi1 2.649 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in phi1 2.649 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 2.649 * [taylor]: Taking taylor expansion of 1/2 in phi1 2.649 * [backup-simplify]: Simplify 1/2 into 1/2 2.649 * [taylor]: Taking taylor expansion of PI in phi1 2.649 * [backup-simplify]: Simplify PI into PI 2.649 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi1 2.649 * [backup-simplify]: Simplify (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2.650 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.650 * [backup-simplify]: Simplify (- (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) into (- (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) 2.651 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))))) into (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) 2.651 * [backup-simplify]: Simplify (exp (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))))) into (exp (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))))) 2.651 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))))) in phi1 2.651 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in phi1 2.651 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 2.651 * [taylor]: Taking taylor expansion of 1/2 in phi1 2.652 * [backup-simplify]: Simplify 1/2 into 1/2 2.652 * [taylor]: Taking taylor expansion of PI in phi1 2.652 * [backup-simplify]: Simplify PI into PI 2.652 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi1 2.652 * [backup-simplify]: Simplify (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2.652 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.653 * [backup-simplify]: Simplify (- (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) into (- (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) 2.653 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))))) into (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) 2.657 * [backup-simplify]: Simplify (exp (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))))) into (exp (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))))) 2.658 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))))) in phi2 2.658 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in phi2 2.658 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 2.658 * [taylor]: Taking taylor expansion of 1/2 in phi2 2.658 * [backup-simplify]: Simplify 1/2 into 1/2 2.658 * [taylor]: Taking taylor expansion of PI in phi2 2.658 * [backup-simplify]: Simplify PI into PI 2.658 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi2 2.658 * [backup-simplify]: Simplify (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2.658 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.659 * [backup-simplify]: Simplify (- (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) into (- (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) 2.660 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))))) into (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) 2.660 * [backup-simplify]: Simplify (exp (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))))) into (exp (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))))) 2.660 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))))) in lambda1 2.660 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in lambda1 2.660 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 2.660 * [taylor]: Taking taylor expansion of 1/2 in lambda1 2.660 * [backup-simplify]: Simplify 1/2 into 1/2 2.660 * [taylor]: Taking taylor expansion of PI in lambda1 2.660 * [backup-simplify]: Simplify PI into PI 2.660 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda1 2.661 * [backup-simplify]: Simplify (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2.661 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.662 * [backup-simplify]: Simplify (- (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) into (- (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) 2.662 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))))) into (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) 2.663 * [backup-simplify]: Simplify (exp (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))))) into (exp (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))))) 2.663 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))))) in lambda2 2.663 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in lambda2 2.663 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 2.663 * [taylor]: Taking taylor expansion of 1/2 in lambda2 2.663 * [backup-simplify]: Simplify 1/2 into 1/2 2.663 * [taylor]: Taking taylor expansion of PI in lambda2 2.663 * [backup-simplify]: Simplify PI into PI 2.663 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda2 2.663 * [backup-simplify]: Simplify (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2.664 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.664 * [backup-simplify]: Simplify (- (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) into (- (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) 2.665 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))))) into (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) 2.666 * [backup-simplify]: Simplify (exp (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))))) into (exp (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))))) 2.666 * [backup-simplify]: Simplify (exp (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))))) into (exp (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))))) 2.667 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.667 * [backup-simplify]: Simplify (- 0) into 0 2.667 * [backup-simplify]: Simplify (+ 0 0) into 0 2.669 * [backup-simplify]: Simplify (* (exp (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.669 * [taylor]: Taking taylor expansion of 0 in phi2 2.669 * [backup-simplify]: Simplify 0 into 0 2.669 * [taylor]: Taking taylor expansion of 0 in lambda1 2.669 * [backup-simplify]: Simplify 0 into 0 2.669 * [taylor]: Taking taylor expansion of 0 in lambda2 2.669 * [backup-simplify]: Simplify 0 into 0 2.669 * [backup-simplify]: Simplify 0 into 0 2.669 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.669 * [backup-simplify]: Simplify (- 0) into 0 2.670 * [backup-simplify]: Simplify (+ 0 0) into 0 2.671 * [backup-simplify]: Simplify (* (exp (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.671 * [taylor]: Taking taylor expansion of 0 in lambda1 2.671 * [backup-simplify]: Simplify 0 into 0 2.671 * [taylor]: Taking taylor expansion of 0 in lambda2 2.671 * [backup-simplify]: Simplify 0 into 0 2.671 * [backup-simplify]: Simplify 0 into 0 2.671 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.672 * [backup-simplify]: Simplify (- 0) into 0 2.672 * [backup-simplify]: Simplify (+ 0 0) into 0 2.673 * [backup-simplify]: Simplify (* (exp (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.673 * [taylor]: Taking taylor expansion of 0 in lambda2 2.673 * [backup-simplify]: Simplify 0 into 0 2.673 * [backup-simplify]: Simplify 0 into 0 2.673 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.674 * [backup-simplify]: Simplify (- 0) into 0 2.674 * [backup-simplify]: Simplify (+ 0 0) into 0 2.675 * [backup-simplify]: Simplify (* (exp (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.675 * [backup-simplify]: Simplify 0 into 0 2.676 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.676 * [backup-simplify]: Simplify (- 0) into 0 2.676 * [backup-simplify]: Simplify (+ 0 0) into 0 2.678 * [backup-simplify]: Simplify (* (exp (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.678 * [taylor]: Taking taylor expansion of 0 in phi2 2.678 * [backup-simplify]: Simplify 0 into 0 2.678 * [taylor]: Taking taylor expansion of 0 in lambda1 2.678 * [backup-simplify]: Simplify 0 into 0 2.678 * [taylor]: Taking taylor expansion of 0 in lambda2 2.678 * [backup-simplify]: Simplify 0 into 0 2.678 * [backup-simplify]: Simplify 0 into 0 2.678 * [taylor]: Taking taylor expansion of 0 in lambda1 2.678 * [backup-simplify]: Simplify 0 into 0 2.678 * [taylor]: Taking taylor expansion of 0 in lambda2 2.678 * [backup-simplify]: Simplify 0 into 0 2.678 * [backup-simplify]: Simplify 0 into 0 2.679 * [backup-simplify]: Simplify (exp (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))))) into (exp (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))))) 2.680 * [backup-simplify]: Simplify (exp (- (/ PI 2) (asin (+ (* (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 (exp (- (* 1/2 PI) (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))))) 2.680 * [approximate]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.680 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))))) in lambda2 2.680 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in lambda2 2.680 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 2.680 * [taylor]: Taking taylor expansion of 1/2 in lambda2 2.680 * [backup-simplify]: Simplify 1/2 into 1/2 2.680 * [taylor]: Taking taylor expansion of PI in lambda2 2.680 * [backup-simplify]: Simplify PI into PI 2.680 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 2.680 * [backup-simplify]: Simplify (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2.681 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.681 * [backup-simplify]: Simplify (- (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) into (- (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) 2.682 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))))) into (- (* 1/2 PI) (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) 2.683 * [backup-simplify]: Simplify (exp (- (* 1/2 PI) (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))))) into (exp (- (* 1/2 PI) (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))))) 2.683 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))))) in lambda1 2.683 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in lambda1 2.683 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 2.683 * [taylor]: Taking taylor expansion of 1/2 in lambda1 2.683 * [backup-simplify]: Simplify 1/2 into 1/2 2.683 * [taylor]: Taking taylor expansion of PI in lambda1 2.683 * [backup-simplify]: Simplify PI into PI 2.683 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 2.684 * [backup-simplify]: Simplify (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2.684 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.684 * [backup-simplify]: Simplify (- (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) into (- (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) 2.685 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))))) into (- (* 1/2 PI) (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) 2.686 * [backup-simplify]: Simplify (exp (- (* 1/2 PI) (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))))) into (exp (- (* 1/2 PI) (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))))) 2.686 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))))) in phi2 2.686 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in phi2 2.686 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 2.686 * [taylor]: Taking taylor expansion of 1/2 in phi2 2.686 * [backup-simplify]: Simplify 1/2 into 1/2 2.686 * [taylor]: Taking taylor expansion of PI in phi2 2.686 * [backup-simplify]: Simplify PI into PI 2.686 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 2.687 * [backup-simplify]: Simplify (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2.687 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.688 * [backup-simplify]: Simplify (- (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) into (- (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) 2.688 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))))) into (- (* 1/2 PI) (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) 2.689 * [backup-simplify]: Simplify (exp (- (* 1/2 PI) (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))))) into (exp (- (* 1/2 PI) (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))))) 2.689 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))))) in phi1 2.689 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in phi1 2.689 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 2.689 * [taylor]: Taking taylor expansion of 1/2 in phi1 2.689 * [backup-simplify]: Simplify 1/2 into 1/2 2.689 * [taylor]: Taking taylor expansion of PI in phi1 2.689 * [backup-simplify]: Simplify PI into PI 2.690 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 2.690 * [backup-simplify]: Simplify (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2.690 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.691 * [backup-simplify]: Simplify (- (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) into (- (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) 2.692 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))))) into (- (* 1/2 PI) (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) 2.693 * [backup-simplify]: Simplify (exp (- (* 1/2 PI) (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))))) into (exp (- (* 1/2 PI) (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))))) 2.693 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))))) in phi1 2.693 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in phi1 2.693 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 2.693 * [taylor]: Taking taylor expansion of 1/2 in phi1 2.693 * [backup-simplify]: Simplify 1/2 into 1/2 2.693 * [taylor]: Taking taylor expansion of PI in phi1 2.693 * [backup-simplify]: Simplify PI into PI 2.693 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 2.693 * [backup-simplify]: Simplify (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2.694 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.694 * [backup-simplify]: Simplify (- (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) into (- (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) 2.695 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))))) into (- (* 1/2 PI) (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) 2.696 * [backup-simplify]: Simplify (exp (- (* 1/2 PI) (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))))) into (exp (- (* 1/2 PI) (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))))) 2.696 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))))) in phi2 2.696 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in phi2 2.696 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 2.696 * [taylor]: Taking taylor expansion of 1/2 in phi2 2.696 * [backup-simplify]: Simplify 1/2 into 1/2 2.696 * [taylor]: Taking taylor expansion of PI in phi2 2.696 * [backup-simplify]: Simplify PI into PI 2.696 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 2.697 * [backup-simplify]: Simplify (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2.697 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.697 * [backup-simplify]: Simplify (- (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) into (- (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) 2.698 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))))) into (- (* 1/2 PI) (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) 2.699 * [backup-simplify]: Simplify (exp (- (* 1/2 PI) (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))))) into (exp (- (* 1/2 PI) (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))))) 2.699 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))))) in lambda1 2.699 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in lambda1 2.699 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 2.699 * [taylor]: Taking taylor expansion of 1/2 in lambda1 2.699 * [backup-simplify]: Simplify 1/2 into 1/2 2.699 * [taylor]: Taking taylor expansion of PI in lambda1 2.699 * [backup-simplify]: Simplify PI into PI 2.699 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 2.700 * [backup-simplify]: Simplify (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2.700 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.701 * [backup-simplify]: Simplify (- (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) into (- (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) 2.701 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))))) into (- (* 1/2 PI) (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) 2.702 * [backup-simplify]: Simplify (exp (- (* 1/2 PI) (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))))) into (exp (- (* 1/2 PI) (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))))) 2.702 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))))) in lambda2 2.702 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in lambda2 2.702 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 2.702 * [taylor]: Taking taylor expansion of 1/2 in lambda2 2.702 * [backup-simplify]: Simplify 1/2 into 1/2 2.702 * [taylor]: Taking taylor expansion of PI in lambda2 2.702 * [backup-simplify]: Simplify PI into PI 2.702 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 2.703 * [backup-simplify]: Simplify (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2.703 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.704 * [backup-simplify]: Simplify (- (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) into (- (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) 2.705 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))))) into (- (* 1/2 PI) (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) 2.706 * [backup-simplify]: Simplify (exp (- (* 1/2 PI) (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))))) into (exp (- (* 1/2 PI) (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))))) 2.706 * [backup-simplify]: Simplify (exp (- (* 1/2 PI) (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))))) into (exp (- (* 1/2 PI) (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))))) 2.707 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.707 * [backup-simplify]: Simplify (- 0) into 0 2.707 * [backup-simplify]: Simplify (+ 0 0) into 0 2.709 * [backup-simplify]: Simplify (* (exp (- (* 1/2 PI) (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.709 * [taylor]: Taking taylor expansion of 0 in phi2 2.709 * [backup-simplify]: Simplify 0 into 0 2.709 * [taylor]: Taking taylor expansion of 0 in lambda1 2.709 * [backup-simplify]: Simplify 0 into 0 2.709 * [taylor]: Taking taylor expansion of 0 in lambda2 2.709 * [backup-simplify]: Simplify 0 into 0 2.709 * [backup-simplify]: Simplify 0 into 0 2.709 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.710 * [backup-simplify]: Simplify (- 0) into 0 2.710 * [backup-simplify]: Simplify (+ 0 0) into 0 2.711 * [backup-simplify]: Simplify (* (exp (- (* 1/2 PI) (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.711 * [taylor]: Taking taylor expansion of 0 in lambda1 2.711 * [backup-simplify]: Simplify 0 into 0 2.711 * [taylor]: Taking taylor expansion of 0 in lambda2 2.711 * [backup-simplify]: Simplify 0 into 0 2.711 * [backup-simplify]: Simplify 0 into 0 2.712 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.712 * [backup-simplify]: Simplify (- 0) into 0 2.712 * [backup-simplify]: Simplify (+ 0 0) into 0 2.713 * [backup-simplify]: Simplify (* (exp (- (* 1/2 PI) (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.713 * [taylor]: Taking taylor expansion of 0 in lambda2 2.713 * [backup-simplify]: Simplify 0 into 0 2.713 * [backup-simplify]: Simplify 0 into 0 2.714 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.714 * [backup-simplify]: Simplify (- 0) into 0 2.714 * [backup-simplify]: Simplify (+ 0 0) into 0 2.716 * [backup-simplify]: Simplify (* (exp (- (* 1/2 PI) (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.716 * [backup-simplify]: Simplify 0 into 0 2.716 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.717 * [backup-simplify]: Simplify (- 0) into 0 2.717 * [backup-simplify]: Simplify (+ 0 0) into 0 2.718 * [backup-simplify]: Simplify (* (exp (- (* 1/2 PI) (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.718 * [taylor]: Taking taylor expansion of 0 in phi2 2.718 * [backup-simplify]: Simplify 0 into 0 2.718 * [taylor]: Taking taylor expansion of 0 in lambda1 2.718 * [backup-simplify]: Simplify 0 into 0 2.718 * [taylor]: Taking taylor expansion of 0 in lambda2 2.718 * [backup-simplify]: Simplify 0 into 0 2.718 * [backup-simplify]: Simplify 0 into 0 2.718 * [taylor]: Taking taylor expansion of 0 in lambda1 2.718 * [backup-simplify]: Simplify 0 into 0 2.718 * [taylor]: Taking taylor expansion of 0 in lambda2 2.719 * [backup-simplify]: Simplify 0 into 0 2.719 * [backup-simplify]: Simplify 0 into 0 2.719 * [backup-simplify]: Simplify (exp (- (* 1/2 PI) (asin (- (+ (* (sin (/ 1 (/ 1 phi1))) (sin (/ 1 (/ 1 phi2)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi1))) (cos (/ 1 (/ 1 lambda1))))))) (* (sin (/ 1 (/ 1 lambda1))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 phi1))) (sin (- (/ 1 (/ 1 lambda2))))))))))) into (exp (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))))) 2.720 * [backup-simplify]: Simplify (exp (- (/ PI 2) (asin (+ (* (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 (exp (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))))) 2.720 * [approximate]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.720 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))))) in lambda2 2.721 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in lambda2 2.721 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 2.721 * [taylor]: Taking taylor expansion of 1/2 in lambda2 2.721 * [backup-simplify]: Simplify 1/2 into 1/2 2.721 * [taylor]: Taking taylor expansion of PI in lambda2 2.721 * [backup-simplify]: Simplify PI into PI 2.721 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 2.721 * [backup-simplify]: Simplify (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2.721 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.722 * [backup-simplify]: Simplify (- (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) into (- (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) 2.723 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))))) into (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) 2.724 * [backup-simplify]: Simplify (exp (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))))) into (exp (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))))) 2.724 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))))) in lambda1 2.724 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in lambda1 2.724 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 2.724 * [taylor]: Taking taylor expansion of 1/2 in lambda1 2.724 * [backup-simplify]: Simplify 1/2 into 1/2 2.724 * [taylor]: Taking taylor expansion of PI in lambda1 2.724 * [backup-simplify]: Simplify PI into PI 2.724 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 2.724 * [backup-simplify]: Simplify (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2.725 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.725 * [backup-simplify]: Simplify (- (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) into (- (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) 2.726 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))))) into (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) 2.727 * [backup-simplify]: Simplify (exp (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))))) into (exp (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))))) 2.727 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))))) in phi2 2.727 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in phi2 2.727 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 2.727 * [taylor]: Taking taylor expansion of 1/2 in phi2 2.727 * [backup-simplify]: Simplify 1/2 into 1/2 2.727 * [taylor]: Taking taylor expansion of PI in phi2 2.727 * [backup-simplify]: Simplify PI into PI 2.727 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 2.728 * [backup-simplify]: Simplify (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2.728 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.728 * [backup-simplify]: Simplify (- (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) into (- (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) 2.729 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))))) into (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) 2.730 * [backup-simplify]: Simplify (exp (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))))) into (exp (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))))) 2.730 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))))) in phi1 2.730 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in phi1 2.730 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 2.730 * [taylor]: Taking taylor expansion of 1/2 in phi1 2.730 * [backup-simplify]: Simplify 1/2 into 1/2 2.730 * [taylor]: Taking taylor expansion of PI in phi1 2.730 * [backup-simplify]: Simplify PI into PI 2.730 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 2.731 * [backup-simplify]: Simplify (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2.731 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.732 * [backup-simplify]: Simplify (- (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) into (- (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) 2.732 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))))) into (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) 2.733 * [backup-simplify]: Simplify (exp (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))))) into (exp (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))))) 2.733 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))))) in phi1 2.733 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in phi1 2.733 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 2.733 * [taylor]: Taking taylor expansion of 1/2 in phi1 2.733 * [backup-simplify]: Simplify 1/2 into 1/2 2.733 * [taylor]: Taking taylor expansion of PI in phi1 2.733 * [backup-simplify]: Simplify PI into PI 2.733 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 2.734 * [backup-simplify]: Simplify (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2.734 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.735 * [backup-simplify]: Simplify (- (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) into (- (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) 2.736 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))))) into (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) 2.736 * [backup-simplify]: Simplify (exp (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))))) into (exp (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))))) 2.737 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))))) in phi2 2.737 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in phi2 2.737 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 2.737 * [taylor]: Taking taylor expansion of 1/2 in phi2 2.737 * [backup-simplify]: Simplify 1/2 into 1/2 2.737 * [taylor]: Taking taylor expansion of PI in phi2 2.737 * [backup-simplify]: Simplify PI into PI 2.737 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 2.737 * [backup-simplify]: Simplify (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2.738 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.738 * [backup-simplify]: Simplify (- (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) into (- (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) 2.739 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))))) into (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) 2.740 * [backup-simplify]: Simplify (exp (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))))) into (exp (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))))) 2.740 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))))) in lambda1 2.740 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in lambda1 2.740 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 2.740 * [taylor]: Taking taylor expansion of 1/2 in lambda1 2.740 * [backup-simplify]: Simplify 1/2 into 1/2 2.740 * [taylor]: Taking taylor expansion of PI in lambda1 2.740 * [backup-simplify]: Simplify PI into PI 2.740 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 2.740 * [backup-simplify]: Simplify (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2.741 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.741 * [backup-simplify]: Simplify (- (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) into (- (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) 2.742 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))))) into (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) 2.746 * [backup-simplify]: Simplify (exp (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))))) into (exp (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))))) 2.746 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))))) in lambda2 2.746 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in lambda2 2.746 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 2.746 * [taylor]: Taking taylor expansion of 1/2 in lambda2 2.746 * [backup-simplify]: Simplify 1/2 into 1/2 2.746 * [taylor]: Taking taylor expansion of PI in lambda2 2.746 * [backup-simplify]: Simplify PI into PI 2.746 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 2.747 * [backup-simplify]: Simplify (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2.747 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.748 * [backup-simplify]: Simplify (- (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) into (- (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) 2.749 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))))) into (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) 2.749 * [backup-simplify]: Simplify (exp (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))))) into (exp (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))))) 2.750 * [backup-simplify]: Simplify (exp (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))))) into (exp (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))))) 2.751 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.751 * [backup-simplify]: Simplify (- 0) into 0 2.751 * [backup-simplify]: Simplify (+ 0 0) into 0 2.753 * [backup-simplify]: Simplify (* (exp (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.753 * [taylor]: Taking taylor expansion of 0 in phi2 2.753 * [backup-simplify]: Simplify 0 into 0 2.753 * [taylor]: Taking taylor expansion of 0 in lambda1 2.753 * [backup-simplify]: Simplify 0 into 0 2.753 * [taylor]: Taking taylor expansion of 0 in lambda2 2.753 * [backup-simplify]: Simplify 0 into 0 2.753 * [backup-simplify]: Simplify 0 into 0 2.753 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.753 * [backup-simplify]: Simplify (- 0) into 0 2.754 * [backup-simplify]: Simplify (+ 0 0) into 0 2.755 * [backup-simplify]: Simplify (* (exp (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.755 * [taylor]: Taking taylor expansion of 0 in lambda1 2.755 * [backup-simplify]: Simplify 0 into 0 2.755 * [taylor]: Taking taylor expansion of 0 in lambda2 2.755 * [backup-simplify]: Simplify 0 into 0 2.755 * [backup-simplify]: Simplify 0 into 0 2.756 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.756 * [backup-simplify]: Simplify (- 0) into 0 2.756 * [backup-simplify]: Simplify (+ 0 0) into 0 2.757 * [backup-simplify]: Simplify (* (exp (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.757 * [taylor]: Taking taylor expansion of 0 in lambda2 2.757 * [backup-simplify]: Simplify 0 into 0 2.757 * [backup-simplify]: Simplify 0 into 0 2.758 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.758 * [backup-simplify]: Simplify (- 0) into 0 2.758 * [backup-simplify]: Simplify (+ 0 0) into 0 2.759 * [backup-simplify]: Simplify (* (exp (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.759 * [backup-simplify]: Simplify 0 into 0 2.760 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.760 * [backup-simplify]: Simplify (- 0) into 0 2.760 * [backup-simplify]: Simplify (+ 0 0) into 0 2.762 * [backup-simplify]: Simplify (* (exp (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.762 * [taylor]: Taking taylor expansion of 0 in phi2 2.762 * [backup-simplify]: Simplify 0 into 0 2.762 * [taylor]: Taking taylor expansion of 0 in lambda1 2.762 * [backup-simplify]: Simplify 0 into 0 2.762 * [taylor]: Taking taylor expansion of 0 in lambda2 2.762 * [backup-simplify]: Simplify 0 into 0 2.762 * [backup-simplify]: Simplify 0 into 0 2.762 * [taylor]: Taking taylor expansion of 0 in lambda1 2.762 * [backup-simplify]: Simplify 0 into 0 2.762 * [taylor]: Taking taylor expansion of 0 in lambda2 2.762 * [backup-simplify]: Simplify 0 into 0 2.762 * [backup-simplify]: Simplify 0 into 0 2.763 * [backup-simplify]: Simplify (exp (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2))))))) (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2)))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (sin (/ 1 (/ 1 (- lambda2)))) (cos (/ -1 (/ 1 (- phi2))))))))))) into (exp (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))))) 2.763 * * * [progress]: simplifying candidates 2.765 * [simplify]: Simplifying: (/ (exp (/ PI 2)) (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (log (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (* (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (* (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (- (pow (/ PI 2) 3) (pow (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) 3)) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (* (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (- (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (- (* (/ PI 2) (/ PI 2)) (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (+ (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (- (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (+ (/ (sqrt PI) (sqrt 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (- (/ (sqrt PI) (sqrt 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (- (/ PI 2) (/ PI 2)) (- (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (log (exp (/ PI 2))) (log (exp (- (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (log (exp (- (/ PI 2) (/ PI 2)))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (log (exp (/ PI 2))) (log (exp (- (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (log (* (cbrt (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (cbrt (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))))) (log (cbrt (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))))) (log (sqrt (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))))) (log (sqrt (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))))) (log 1) (log (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (log (exp (/ PI 2))) (log (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (log (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (log (exp (* (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))))) (log (exp (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))))) (log (exp 1)) (log (exp (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))))) (log (exp (+ (/ (sqrt PI) (sqrt 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))))) (log (exp 1)) (log (log (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))))) (exp (log (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))))) (* (cbrt (log (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))))) (cbrt (log (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))))) (cbrt (log (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))))) (* (* (log (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (log (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))))) (log (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))))) (sqrt (log (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))))) (sqrt (log (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))))) (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (log (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (* (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (* (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (exp (* (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))))) (exp (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (exp 1) (exp (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (exp (+ (/ (sqrt PI) (sqrt 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (exp 1) (exp (/ PI 2)) (exp (- (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (exp (- (/ PI 2) (/ PI 2))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (exp (/ PI 2)) (exp (- (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (exp (/ PI 2)) (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (log (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (exp (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (* (cbrt (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (cbrt (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))))) (cbrt (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (* (* (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (sqrt (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (sqrt (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2)))))))) (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2)))))))) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) (exp (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))))) (exp (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))))) (exp (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))))) 2.765 * [simplify]: Sending expressions to egg_math: (/ (exp (/ h4 2)) (exp (asin (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (- (* (cos h1) (cos h0)) (* (sin h1) (sin (- h0))))))))) (log (- (/ h4 2) (asin (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (- (* (cos h1) (cos h0)) (* (sin h1) (sin (- h0))))))))) (exp (- (/ h4 2) (asin (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (- (* (cos h1) (cos h0)) (* (sin h1) (sin (- h0))))))))) (* (cbrt (- (/ h4 2) (asin (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (- (* (cos h1) (cos h0)) (* (sin h1) (sin (- h0))))))))) (cbrt (- (/ h4 2) (asin (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (- (* (cos h1) (cos h0)) (* (sin h1) (sin (- h0)))))))))) (cbrt (- (/ h4 2) (asin (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (- (* (cos h1) (cos h0)) (* (sin h1) (sin (- h0))))))))) (* (* (- (/ h4 2) (asin (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (- (* (cos h1) (cos h0)) (* (sin h1) (sin (- h0)))))))) (- (/ h4 2) (asin (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (- (* (cos h1) (cos h0)) (* (sin h1) (sin (- h0))))))))) (- (/ h4 2) (asin (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (- (* (cos h1) (cos h0)) (* (sin h1) (sin (- h0))))))))) (sqrt (- (/ h4 2) (asin (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (- (* (cos h1) (cos h0)) (* (sin h1) (sin (- h0))))))))) (sqrt (- (/ h4 2) (asin (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (- (* (cos h1) (cos h0)) (* (sin h1) (sin (- h0))))))))) (- (pow (/ h4 2) 3) (pow (asin (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (- (* (cos h1) (cos h0)) (* (sin h1) (sin (- h0))))))) 3)) (+ (* (/ h4 2) (/ h4 2)) (+ (* (asin (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (- (* (cos h1) (cos h0)) (* (sin h1) (sin (- h0))))))) (asin (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (- (* (cos h1) (cos h0)) (* (sin h1) (sin (- h0)))))))) (* (/ h4 2) (asin (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (- (* (cos h1) (cos h0)) (* (sin h1) (sin (- h0)))))))))) (- (asin (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (- (* (cos h1) (cos h0)) (* (sin h1) (sin (- h0)))))))) (- (* (/ h4 2) (/ h4 2)) (* (asin (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (- (* (cos h1) (cos h0)) (* (sin h1) (sin (- h0))))))) (asin (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (- (* (cos h1) (cos h0)) (* (sin h1) (sin (- h0))))))))) (+ (/ h4 2) (asin (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (- (* (cos h1) (cos h0)) (* (sin h1) (sin (- h0)))))))) (+ (sqrt (/ h4 2)) (sqrt (asin (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (- (* (cos h1) (cos h0)) (* (sin h1) (sin (- h0))))))))) (- (sqrt (/ h4 2)) (sqrt (asin (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (- (* (cos h1) (cos h0)) (* (sin h1) (sin (- h0))))))))) (+ (/ (sqrt h4) (sqrt 2)) (sqrt (asin (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (- (* (cos h1) (cos h0)) (* (sin h1) (sin (- h0))))))))) (- (/ (sqrt h4) (sqrt 2)) (sqrt (asin (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (- (* (cos h1) (cos h0)) (* (sin h1) (sin (- h0))))))))) (- (/ h4 2) (asin (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (- (* (cos h1) (cos h0)) (* (sin h1) (sin (- h0)))))))) (- (/ h4 2) (/ h4 2)) (- (asin (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (- (* (cos h1) (cos h0)) (* (sin h1) (sin (- h0)))))))) (log (exp (/ h4 2))) (log (exp (- (asin (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (- (* (cos h1) (cos h0)) (* (sin h1) (sin (- h0)))))))))) (log (exp (- (/ h4 2) (/ h4 2)))) (log (exp (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (- (* (cos h1) (cos h0)) (* (sin h1) (sin (- h0))))))))) (log (exp (/ h4 2))) (log (exp (- (asin (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (- (* (cos h1) (cos h0)) (* (sin h1) (sin (- h0)))))))))) (log (* (cbrt (exp (- (/ h4 2) (asin (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (- (* (cos h1) (cos h0)) (* (sin h1) (sin (- h0)))))))))) (cbrt (exp (- (/ h4 2) (asin (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (- (* (cos h1) (cos h0)) (* (sin h1) (sin (- h0)))))))))))) (log (cbrt (exp (- (/ h4 2) (asin (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (- (* (cos h1) (cos h0)) (* (sin h1) (sin (- h0))))))))))) (log (sqrt (exp (- (/ h4 2) (asin (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (- (* (cos h1) (cos h0)) (* (sin h1) (sin (- h0))))))))))) (log (sqrt (exp (- (/ h4 2) (asin (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (- (* (cos h1) (cos h0)) (* (sin h1) (sin (- h0))))))))))) (log 1) (log (exp (- (/ h4 2) (asin (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (- (* (cos h1) (cos h0)) (* (sin h1) (sin (- h0)))))))))) (log (exp (/ h4 2))) (log (exp (asin (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (- (* (cos h1) (cos h0)) (* (sin h1) (sin (- h0))))))))) (log (exp (- (/ h4 2) (asin (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (- (* (cos h1) (cos h0)) (* (sin h1) (sin (- h0)))))))))) (log (exp (* (cbrt (- (/ h4 2) (asin (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (- (* (cos h1) (cos h0)) (* (sin h1) (sin (- h0))))))))) (cbrt (- (/ h4 2) (asin (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (- (* (cos h1) (cos h0)) (* (sin h1) (sin (- h0)))))))))))) (log (exp (sqrt (- (/ h4 2) (asin (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (- (* (cos h1) (cos h0)) (* (sin h1) (sin (- h0))))))))))) (log (exp 1)) (log (exp (+ (sqrt (/ h4 2)) (sqrt (asin (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (- (* (cos h1) (cos h0)) (* (sin h1) (sin (- h0))))))))))) (log (exp (+ (/ (sqrt h4) (sqrt 2)) (sqrt (asin (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (- (* (cos h1) (cos h0)) (* (sin h1) (sin (- h0))))))))))) (log (exp 1)) (log (log (exp (- (/ h4 2) (asin (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (- (* (cos h1) (cos h0)) (* (sin h1) (sin (- h0))))))))))) (exp (log (exp (- (/ h4 2) (asin (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (- (* (cos h1) (cos h0)) (* (sin h1) (sin (- h0))))))))))) (* (cbrt (log (exp (- (/ h4 2) (asin (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (- (* (cos h1) (cos h0)) (* (sin h1) (sin (- h0))))))))))) (cbrt (log (exp (- (/ h4 2) (asin (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (- (* (cos h1) (cos h0)) (* (sin h1) (sin (- h0)))))))))))) (cbrt (log (exp (- (/ h4 2) (asin (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (- (* (cos h1) (cos h0)) (* (sin h1) (sin (- h0))))))))))) (* (* (log (exp (- (/ h4 2) (asin (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (- (* (cos h1) (cos h0)) (* (sin h1) (sin (- h0)))))))))) (log (exp (- (/ h4 2) (asin (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (- (* (cos h1) (cos h0)) (* (sin h1) (sin (- h0))))))))))) (log (exp (- (/ h4 2) (asin (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (- (* (cos h1) (cos h0)) (* (sin h1) (sin (- h0))))))))))) (sqrt (log (exp (- (/ h4 2) (asin (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (- (* (cos h1) (cos h0)) (* (sin h1) (sin (- h0))))))))))) (sqrt (log (exp (- (/ h4 2) (asin (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (- (* (cos h1) (cos h0)) (* (sin h1) (sin (- h0))))))))))) (/ h4 2) (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (- (* (cos h1) (cos h0)) (* (sin h1) (sin (- h0))))))) (log (asin (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (- (* (cos h1) (cos h0)) (* (sin h1) (sin (- h0)))))))) (exp (asin (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (- (* (cos h1) (cos h0)) (* (sin h1) (sin (- h0)))))))) (* (cbrt (asin (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (- (* (cos h1) (cos h0)) (* (sin h1) (sin (- h0)))))))) (cbrt (asin (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (- (* (cos h1) (cos h0)) (* (sin h1) (sin (- h0))))))))) (cbrt (asin (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (- (* (cos h1) (cos h0)) (* (sin h1) (sin (- h0)))))))) (* (* (asin (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (- (* (cos h1) (cos h0)) (* (sin h1) (sin (- h0))))))) (asin (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (- (* (cos h1) (cos h0)) (* (sin h1) (sin (- h0)))))))) (asin (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (- (* (cos h1) (cos h0)) (* (sin h1) (sin (- h0)))))))) (sqrt (asin (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (- (* (cos h1) (cos h0)) (* (sin h1) (sin (- h0)))))))) (sqrt (asin (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (- (* (cos h1) (cos h0)) (* (sin h1) (sin (- h0)))))))) (exp (* (cbrt (- (/ h4 2) (asin (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (- (* (cos h1) (cos h0)) (* (sin h1) (sin (- h0))))))))) (cbrt (- (/ h4 2) (asin (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (- (* (cos h1) (cos h0)) (* (sin h1) (sin (- h0))))))))))) (exp (sqrt (- (/ h4 2) (asin (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (- (* (cos h1) (cos h0)) (* (sin h1) (sin (- h0)))))))))) (exp 1) (exp (+ (sqrt (/ h4 2)) (sqrt (asin (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (- (* (cos h1) (cos h0)) (* (sin h1) (sin (- h0)))))))))) (exp (+ (/ (sqrt h4) (sqrt 2)) (sqrt (asin (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (- (* (cos h1) (cos h0)) (* (sin h1) (sin (- h0)))))))))) (exp 1) (exp (/ h4 2)) (exp (- (asin (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (- (* (cos h1) (cos h0)) (* (sin h1) (sin (- h0))))))))) (exp (- (/ h4 2) (/ h4 2))) (exp (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (- (* (cos h1) (cos h0)) (* (sin h1) (sin (- h0)))))))) (exp (/ h4 2)) (exp (- (asin (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (- (* (cos h1) (cos h0)) (* (sin h1) (sin (- h0))))))))) (exp (/ h4 2)) (exp (asin (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (- (* (cos h1) (cos h0)) (* (sin h1) (sin (- h0)))))))) (log (exp (- (/ h4 2) (asin (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (- (* (cos h1) (cos h0)) (* (sin h1) (sin (- h0)))))))))) (exp (exp (- (/ h4 2) (asin (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (- (* (cos h1) (cos h0)) (* (sin h1) (sin (- h0)))))))))) (* (cbrt (exp (- (/ h4 2) (asin (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (- (* (cos h1) (cos h0)) (* (sin h1) (sin (- h0)))))))))) (cbrt (exp (- (/ h4 2) (asin (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (- (* (cos h1) (cos h0)) (* (sin h1) (sin (- h0))))))))))) (cbrt (exp (- (/ h4 2) (asin (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (- (* (cos h1) (cos h0)) (* (sin h1) (sin (- h0)))))))))) (* (* (exp (- (/ h4 2) (asin (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (- (* (cos h1) (cos h0)) (* (sin h1) (sin (- h0))))))))) (exp (- (/ h4 2) (asin (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (- (* (cos h1) (cos h0)) (* (sin h1) (sin (- h0)))))))))) (exp (- (/ h4 2) (asin (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (- (* (cos h1) (cos h0)) (* (sin h1) (sin (- h0)))))))))) (sqrt (exp (- (/ h4 2) (asin (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (- (* (cos h1) (cos h0)) (* (sin h1) (sin (- h0)))))))))) (sqrt (exp (- (/ h4 2) (asin (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (- (* (cos h1) (cos h0)) (* (sin h1) (sin (- h0)))))))))) (- (* 1/2 h4) (asin (- (+ (* (sin h3) (sin h2)) (* (cos h1) (* (cos h3) (* (cos h2) (cos h0))))) (* (sin h1) (* (cos h3) (* (cos h2) (sin (- h0)))))))) (- (* 1/2 h4) (asin (- (+ (* (sin h3) (sin h2)) (* (cos h1) (* (cos h3) (* (cos h2) (cos h0))))) (* (sin h1) (* (cos h3) (* (cos h2) (sin (- h0)))))))) (- (* 1/2 h4) (asin (- (+ (* (sin h3) (sin h2)) (* (cos h1) (* (cos h3) (* (cos h2) (cos h0))))) (* (sin h1) (* (cos h3) (* (cos h2) (sin (* -1 h0)))))))) (- (* 1/2 h4) (asin (- (+ (* (sin h3) (sin h2)) (* (cos h1) (* (cos h3) (* (cos h2) (cos h0))))) (* (sin h1) (* (cos h3) (* (cos h2) (sin (- h0)))))))) (- (* 1/2 h4) (asin (- (+ (* (sin h3) (sin h2)) (* (cos h1) (* (cos h3) (* (cos h2) (cos h0))))) (* (sin h1) (* (cos h3) (* (cos h2) (sin (- h0)))))))) (- (* 1/2 h4) (asin (- (+ (* (sin h3) (sin h2)) (* (cos h1) (* (cos h3) (* (cos h2) (cos h0))))) (* (sin h1) (* (cos h3) (* (cos h2) (sin (* -1 h0)))))))) (asin (- (+ (* (sin h3) (sin h2)) (* (cos h1) (* (cos h3) (* (cos h2) (cos h0))))) (* (sin h1) (* (cos h3) (* (cos h2) (sin (- h0))))))) (asin (- (+ (* (sin h3) (sin h2)) (* (cos h1) (* (cos h3) (* (cos h2) (cos h0))))) (* (sin h1) (* (cos h3) (* (cos h2) (sin (- h0))))))) (asin (- (+ (* (sin h3) (sin h2)) (* (cos h1) (* (cos h3) (* (cos h2) (cos h0))))) (* (sin h1) (* (cos h3) (* (cos h2) (sin (* -1 h0))))))) (exp (- (* 1/2 h4) (asin (- (+ (* (sin h3) (sin h2)) (* (cos h1) (* (cos h3) (* (cos h2) (cos h0))))) (* (sin h1) (* (cos h3) (* (cos h2) (sin (- h0))))))))) (exp (- (* 1/2 h4) (asin (- (+ (* (sin h3) (sin h2)) (* (cos h1) (* (cos h3) (* (cos h2) (cos h0))))) (* (sin h1) (* (cos h3) (* (cos h2) (sin (- h0))))))))) (exp (- (* 1/2 h4) (asin (- (+ (* (sin h3) (sin h2)) (* (cos h1) (* (cos h3) (* (cos h2) (cos h0))))) (* (sin h1) (* (cos h3) (* (cos h2) (sin (* -1 h0))))))))) 2.772 * * [simplify]: iteration 0 : 228 enodes (cost 1837 ) 2.775 * * [simplify]: iteration 1 : 508 enodes (cost 1698 ) 2.782 * * [simplify]: iteration 2 : 1136 enodes (cost 1674 ) 2.798 * * [simplify]: iteration 3 : 3382 enodes (cost 1650 ) 2.849 * * [simplify]: iteration 4 : 5002 enodes (cost 1650 ) 2.855 * * * [progress]: adding candidates to table 3.271 * [progress]: [Phase 3 of 3] Extracting. 3.271 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # # # # # # # # #) 3.307 * * * [regime-changes]: Trying 9 branch expressions: ((- lambda1 lambda2) (cos (- lambda1 lambda2)) (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) phi2 phi1 lambda2 lambda1 R) 3.307 * * * * [regimes]: Trying to branch on (- lambda1 lambda2) from (# # # # # # # # # # # # # # # # # # # # # #) 3.470 * * * * [regimes]: Trying to branch on (- lambda1 lambda2) from (# #) 3.493 * * * * [regimes]: Trying to branch on (cos (- lambda1 lambda2)) from (# # # # # # # # # # # # # # # # # # # # # #) 3.661 * * * * [regimes]: Trying to branch on (cos (- lambda1 lambda2)) from (# #) 3.684 * * * * [regimes]: Trying to branch on (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) from (# # # # # # # # # # # # # # # # # # # # # #) 3.865 * * * * [regimes]: Trying to branch on (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) from (# #) 3.904 * * * * [regimes]: Trying to branch on (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) from (# # # # # # # # # # # # # # # # # # # # # #) 4.091 * * * * [regimes]: Trying to branch on phi2 from (# # # # # # # # # # # # # # # # # # # # # #) 4.255 * * * * [regimes]: Trying to branch on phi1 from (# # # # # # # # # # # # # # # # # # # # # #) 4.419 * * * * [regimes]: Trying to branch on lambda2 from (# # # # # # # # # # # # # # # # # # # # # #) 4.585 * * * * [regimes]: Trying to branch on lambda1 from (# # # # # # # # # # # # # # # # # # # # # #) 4.749 * * * * [regimes]: Trying to branch on R from (# # # # # # # # # # # # # # # # # # # # # #) 4.914 * * * [regime]: Found split indices: #