6.788 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.248 * * * [progress]: [2/2] Setting up program. 0.252 * [progress]: [Phase 2 of 3] Improving. 0.252 * [simplify]: Simplifying: (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 0.252 * [simplify]: Sending expressions to egg_math: (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (cos (- h2 h1))))) h0) 0.254 * * [simplify]: iteration 0 : 27 enodes (cost 12 ) 0.256 * * [simplify]: iteration 1 : 39 enodes (cost 12 ) 0.257 * * [simplify]: iteration 2 : 44 enodes (cost 12 ) 0.258 * * [simplify]: iteration 3 : 45 enodes (cost 12 ) 0.260 * * [simplify]: iteration 4 : 45 enodes (cost 12 ) 0.260 * * [progress]: iteration 1 / 4 0.260 * * * [progress]: picking best candidate 0.264 * * * * [pick]: Picked # 0.264 * * * [progress]: localizing error 0.295 * * * [progress]: generating rewritten candidates 0.295 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2) 0.308 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.310 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.316 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 0.330 * * * [progress]: generating series expansions 0.330 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2) 0.330 * [backup-simplify]: Simplify (cos (- lambda1 lambda2)) into (cos (- lambda1 lambda2)) 0.330 * [approximate]: Taking taylor expansion of (cos (- lambda1 lambda2)) in (lambda1 lambda2) around 0 0.330 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2 0.330 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2 0.330 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.330 * [backup-simplify]: Simplify lambda1 into lambda1 0.330 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.330 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify 1 into 1 0.331 * [backup-simplify]: Simplify (- 0) into 0 0.331 * [backup-simplify]: Simplify (+ lambda1 0) into lambda1 0.331 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 0.331 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 0.331 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.331 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.331 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.331 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify 1 into 1 0.331 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.331 * [backup-simplify]: Simplify lambda2 into lambda2 0.331 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 0.331 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2) 0.331 * [backup-simplify]: Simplify (cos (- lambda2)) into (cos (- lambda2)) 0.331 * [backup-simplify]: Simplify (sin (- lambda2)) into (sin (- lambda2)) 0.331 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.331 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.331 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.331 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify 1 into 1 0.331 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.331 * [backup-simplify]: Simplify lambda2 into lambda2 0.331 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 0.331 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2) 0.331 * [backup-simplify]: Simplify (cos (- lambda2)) into (cos (- lambda2)) 0.331 * [backup-simplify]: Simplify (sin (- lambda2)) into (sin (- lambda2)) 0.331 * [backup-simplify]: Simplify (* (cos (- lambda2)) 1) into (cos (- lambda2)) 0.332 * [backup-simplify]: Simplify (* (sin (- lambda2)) 0) into 0 0.332 * [backup-simplify]: Simplify (- 0) into 0 0.332 * [backup-simplify]: Simplify (+ (cos (- lambda2)) 0) into (cos (- lambda2)) 0.332 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.332 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.332 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.332 * [backup-simplify]: Simplify 0 into 0 0.332 * [backup-simplify]: Simplify 1 into 1 0.332 * [backup-simplify]: Simplify (- 0) into 0 0.332 * [backup-simplify]: Simplify (- 1) into -1 0.332 * [backup-simplify]: Simplify 1 into 1 0.333 * [backup-simplify]: Simplify (+ 0) into 0 0.333 * [backup-simplify]: Simplify (+ (* (cos (- lambda2)) 0) (* 0 1)) into 0 0.334 * [backup-simplify]: Simplify (- 0) into 0 0.334 * [backup-simplify]: Simplify (+ 1 0) into 1 0.335 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 0.335 * [backup-simplify]: Simplify (+ (* (sin (- lambda2)) 1) (* 0 0)) into (sin (- lambda2)) 0.335 * [backup-simplify]: Simplify (- (sin (- lambda2))) into (- (sin (- lambda2))) 0.335 * [backup-simplify]: Simplify (+ 0 (- (sin (- lambda2)))) into (- (sin (- lambda2))) 0.335 * [taylor]: Taking taylor expansion of (- (sin (- lambda2))) in lambda2 0.335 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 0.335 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.335 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.335 * [backup-simplify]: Simplify 0 into 0 0.335 * [backup-simplify]: Simplify 1 into 1 0.335 * [backup-simplify]: Simplify (- 0) into 0 0.335 * [backup-simplify]: Simplify (- 1) into -1 0.336 * [backup-simplify]: Simplify (- 0) into 0 0.336 * [backup-simplify]: Simplify 0 into 0 0.336 * [backup-simplify]: Simplify (+ 0) into 0 0.336 * [backup-simplify]: Simplify 0 into 0 0.336 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.337 * [backup-simplify]: Simplify (+ (* (cos (- lambda2)) -1/2) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (cos (- lambda2)))) 0.337 * [backup-simplify]: Simplify (- 0) into 0 0.337 * [backup-simplify]: Simplify (+ 0 0) into 0 0.338 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.338 * [backup-simplify]: Simplify (+ (* (sin (- lambda2)) 0) (+ (* 0 1) (* 0 0))) into 0 0.338 * [backup-simplify]: Simplify (- 0) into 0 0.338 * [backup-simplify]: Simplify (+ (- (* 1/2 (cos (- lambda2)))) 0) into (- (* 1/2 (cos (- lambda2)))) 0.338 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda2)))) in lambda2 0.338 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda2))) in lambda2 0.338 * [taylor]: Taking taylor expansion of 1/2 in lambda2 0.338 * [backup-simplify]: Simplify 1/2 into 1/2 0.339 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.339 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.339 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.339 * [backup-simplify]: Simplify 0 into 0 0.339 * [backup-simplify]: Simplify 1 into 1 0.339 * [backup-simplify]: Simplify (- 0) into 0 0.339 * [backup-simplify]: Simplify (- 1) into -1 0.339 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.339 * [backup-simplify]: Simplify (- 1/2) into -1/2 0.339 * [backup-simplify]: Simplify -1/2 into -1/2 0.340 * [backup-simplify]: Simplify (- 1) into -1 0.340 * [backup-simplify]: Simplify (+ (* 1 (/ (pow -1 1) 1))) into -1 0.340 * [backup-simplify]: Simplify (- -1) into 1 0.340 * [backup-simplify]: Simplify 1 into 1 0.341 * [backup-simplify]: Simplify (+ (* 1 (* lambda2 lambda1)) (+ (* -1/2 (pow (* 1 lambda1) 2)) 1)) into (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2))) 0.341 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0.341 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in (lambda1 lambda2) around 0 0.341 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.341 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.341 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.341 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.341 * [backup-simplify]: Simplify lambda1 into lambda1 0.341 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 0.341 * [taylor]: Taking taylor expansion of (/ 1 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 (/ 1 1) into 1 0.341 * [backup-simplify]: Simplify (- 1) into -1 0.342 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.342 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0.342 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.342 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.342 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.342 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.342 * [backup-simplify]: Simplify 0 into 0 0.342 * [backup-simplify]: Simplify 1 into 1 0.342 * [backup-simplify]: Simplify (/ 1 1) into 1 0.342 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.342 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.342 * [backup-simplify]: Simplify lambda2 into lambda2 0.342 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 0.342 * [backup-simplify]: Simplify (+ 1 0) into 1 0.342 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0.342 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.342 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.342 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.342 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.342 * [backup-simplify]: Simplify 0 into 0 0.342 * [backup-simplify]: Simplify 1 into 1 0.343 * [backup-simplify]: Simplify (/ 1 1) into 1 0.343 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.343 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.343 * [backup-simplify]: Simplify lambda2 into lambda2 0.343 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 0.343 * [backup-simplify]: Simplify (+ 1 0) into 1 0.343 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0.343 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.343 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.343 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.343 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.343 * [backup-simplify]: Simplify lambda1 into lambda1 0.343 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 0.343 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.343 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.343 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify 1 into 1 0.344 * [backup-simplify]: Simplify (/ 1 1) into 1 0.344 * [backup-simplify]: Simplify (- 1) into -1 0.344 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.344 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0.344 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0.344 * [taylor]: Taking taylor expansion of 0 in lambda2 0.344 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify 0 into 0 0.344 * [taylor]: Taking taylor expansion of 0 in lambda2 0.344 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify 0 into 0 0.344 * [taylor]: Taking taylor expansion of 0 in lambda2 0.344 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify 0 into 0 0.345 * [backup-simplify]: Simplify (cos (- (/ 1 (/ 1 lambda1)) (/ 1 (/ 1 lambda2)))) into (cos (- lambda1 lambda2)) 0.345 * [backup-simplify]: Simplify (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0.345 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in (lambda1 lambda2) around 0 0.345 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.345 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.345 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.345 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.345 * [backup-simplify]: Simplify 0 into 0 0.345 * [backup-simplify]: Simplify 1 into 1 0.345 * [backup-simplify]: Simplify (/ 1 1) into 1 0.345 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.345 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.345 * [backup-simplify]: Simplify lambda1 into lambda1 0.345 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 0.345 * [backup-simplify]: Simplify (+ 1 0) into 1 0.345 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0.345 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.345 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.345 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.345 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.345 * [backup-simplify]: Simplify lambda2 into lambda2 0.345 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 0.345 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.346 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.346 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify 1 into 1 0.346 * [backup-simplify]: Simplify (/ 1 1) into 1 0.346 * [backup-simplify]: Simplify (- 1) into -1 0.346 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.346 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0.346 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.346 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.346 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.346 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.346 * [backup-simplify]: Simplify lambda2 into lambda2 0.346 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 0.346 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.346 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.346 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify 1 into 1 0.347 * [backup-simplify]: Simplify (/ 1 1) into 1 0.347 * [backup-simplify]: Simplify (- 1) into -1 0.347 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.347 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0.347 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.347 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.347 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.347 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.347 * [backup-simplify]: Simplify 0 into 0 0.347 * [backup-simplify]: Simplify 1 into 1 0.348 * [backup-simplify]: Simplify (/ 1 1) into 1 0.348 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.348 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.348 * [backup-simplify]: Simplify lambda1 into lambda1 0.348 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 0.348 * [backup-simplify]: Simplify (+ 1 0) into 1 0.348 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0.348 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0.348 * [taylor]: Taking taylor expansion of 0 in lambda2 0.348 * [backup-simplify]: Simplify 0 into 0 0.348 * [backup-simplify]: Simplify 0 into 0 0.348 * [backup-simplify]: Simplify 0 into 0 0.348 * [taylor]: Taking taylor expansion of 0 in lambda2 0.348 * [backup-simplify]: Simplify 0 into 0 0.348 * [backup-simplify]: Simplify 0 into 0 0.348 * [backup-simplify]: Simplify 0 into 0 0.348 * [backup-simplify]: Simplify 0 into 0 0.348 * [taylor]: Taking taylor expansion of 0 in lambda2 0.348 * [backup-simplify]: Simplify 0 into 0 0.348 * [backup-simplify]: Simplify 0 into 0 0.348 * [backup-simplify]: Simplify (cos (- (/ 1 (/ 1 (- lambda2))) (/ 1 (/ 1 (- lambda1))))) into (cos (- lambda1 lambda2)) 0.348 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.349 * [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))))) 0.349 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 0.349 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.349 * [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))))) 0.349 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.349 * [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))))) 0.349 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.349 * [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))))) 0.349 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.350 * [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))))) 0.350 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.350 * [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))))) 0.350 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.350 * [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))))) 0.350 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.350 * [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))))) 0.350 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.350 * [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))))) 0.351 * [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))))) 0.351 * [taylor]: Taking taylor expansion of 0 in phi2 0.351 * [backup-simplify]: Simplify 0 into 0 0.351 * [taylor]: Taking taylor expansion of 0 in lambda1 0.351 * [backup-simplify]: Simplify 0 into 0 0.351 * [taylor]: Taking taylor expansion of 0 in lambda2 0.351 * [backup-simplify]: Simplify 0 into 0 0.351 * [backup-simplify]: Simplify 0 into 0 0.351 * [taylor]: Taking taylor expansion of 0 in lambda1 0.351 * [backup-simplify]: Simplify 0 into 0 0.351 * [taylor]: Taking taylor expansion of 0 in lambda2 0.351 * [backup-simplify]: Simplify 0 into 0 0.351 * [backup-simplify]: Simplify 0 into 0 0.351 * [taylor]: Taking taylor expansion of 0 in lambda2 0.351 * [backup-simplify]: Simplify 0 into 0 0.351 * [backup-simplify]: Simplify 0 into 0 0.351 * [backup-simplify]: Simplify 0 into 0 0.351 * [taylor]: Taking taylor expansion of 0 in phi2 0.351 * [backup-simplify]: Simplify 0 into 0 0.351 * [taylor]: Taking taylor expansion of 0 in lambda1 0.351 * [backup-simplify]: Simplify 0 into 0 0.351 * [taylor]: Taking taylor expansion of 0 in lambda2 0.351 * [backup-simplify]: Simplify 0 into 0 0.351 * [backup-simplify]: Simplify 0 into 0 0.351 * [taylor]: Taking taylor expansion of 0 in lambda1 0.351 * [backup-simplify]: Simplify 0 into 0 0.351 * [taylor]: Taking taylor expansion of 0 in lambda2 0.351 * [backup-simplify]: Simplify 0 into 0 0.351 * [backup-simplify]: Simplify 0 into 0 0.351 * [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))))) 0.352 * [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))))))) 0.352 * [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 0.352 * [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 0.352 * [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))))))) 0.352 * [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 0.352 * [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))))))) 0.352 * [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 0.353 * [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))))))) 0.353 * [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 0.353 * [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))))))) 0.353 * [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 0.353 * [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))))))) 0.353 * [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 0.353 * [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))))))) 0.353 * [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 0.354 * [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))))))) 0.354 * [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 0.354 * [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))))))) 0.354 * [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))))))) 0.354 * [taylor]: Taking taylor expansion of 0 in phi2 0.354 * [backup-simplify]: Simplify 0 into 0 0.354 * [taylor]: Taking taylor expansion of 0 in lambda1 0.354 * [backup-simplify]: Simplify 0 into 0 0.354 * [taylor]: Taking taylor expansion of 0 in lambda2 0.354 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify 0 into 0 0.354 * [taylor]: Taking taylor expansion of 0 in lambda1 0.354 * [backup-simplify]: Simplify 0 into 0 0.354 * [taylor]: Taking taylor expansion of 0 in lambda2 0.354 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify 0 into 0 0.355 * [taylor]: Taking taylor expansion of 0 in lambda2 0.355 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify 0 into 0 0.355 * [taylor]: Taking taylor expansion of 0 in phi2 0.355 * [backup-simplify]: Simplify 0 into 0 0.355 * [taylor]: Taking taylor expansion of 0 in lambda1 0.355 * [backup-simplify]: Simplify 0 into 0 0.355 * [taylor]: Taking taylor expansion of 0 in lambda2 0.355 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify 0 into 0 0.355 * [taylor]: Taking taylor expansion of 0 in lambda1 0.355 * [backup-simplify]: Simplify 0 into 0 0.355 * [taylor]: Taking taylor expansion of 0 in lambda2 0.355 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify 0 into 0 0.355 * [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))))) 0.355 * [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))))) 0.355 * [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 0.355 * [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 0.356 * [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))))) 0.356 * [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 0.356 * [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))))) 0.356 * [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 0.356 * [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))))) 0.356 * [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 0.360 * [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))))) 0.360 * [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 0.361 * [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))))) 0.361 * [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 0.361 * [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))))) 0.361 * [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 0.361 * [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))))) 0.361 * [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 0.362 * [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))))) 0.362 * [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))))) 0.362 * [taylor]: Taking taylor expansion of 0 in phi2 0.362 * [backup-simplify]: Simplify 0 into 0 0.362 * [taylor]: Taking taylor expansion of 0 in lambda1 0.362 * [backup-simplify]: Simplify 0 into 0 0.362 * [taylor]: Taking taylor expansion of 0 in lambda2 0.362 * [backup-simplify]: Simplify 0 into 0 0.362 * [backup-simplify]: Simplify 0 into 0 0.362 * [taylor]: Taking taylor expansion of 0 in lambda1 0.362 * [backup-simplify]: Simplify 0 into 0 0.362 * [taylor]: Taking taylor expansion of 0 in lambda2 0.362 * [backup-simplify]: Simplify 0 into 0 0.362 * [backup-simplify]: Simplify 0 into 0 0.362 * [taylor]: Taking taylor expansion of 0 in lambda2 0.362 * [backup-simplify]: Simplify 0 into 0 0.362 * [backup-simplify]: Simplify 0 into 0 0.362 * [backup-simplify]: Simplify 0 into 0 0.362 * [taylor]: Taking taylor expansion of 0 in phi2 0.362 * [backup-simplify]: Simplify 0 into 0 0.362 * [taylor]: Taking taylor expansion of 0 in lambda1 0.362 * [backup-simplify]: Simplify 0 into 0 0.362 * [taylor]: Taking taylor expansion of 0 in lambda2 0.362 * [backup-simplify]: Simplify 0 into 0 0.362 * [backup-simplify]: Simplify 0 into 0 0.362 * [taylor]: Taking taylor expansion of 0 in lambda1 0.362 * [backup-simplify]: Simplify 0 into 0 0.362 * [taylor]: Taking taylor expansion of 0 in lambda2 0.362 * [backup-simplify]: Simplify 0 into 0 0.362 * [backup-simplify]: Simplify 0 into 0 0.363 * [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))))) 0.363 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.363 * [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) 0.363 * [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 0.363 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R 0.363 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R 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 R in R 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [backup-simplify]: Simplify 1 into 1 0.363 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2 0.363 * [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 * [taylor]: Taking taylor expansion of R in lambda2 0.364 * [backup-simplify]: Simplify R into R 0.364 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1 0.364 * [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 R in lambda1 0.364 * [backup-simplify]: Simplify R into R 0.364 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2 0.364 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in 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 R in phi2 0.364 * [backup-simplify]: Simplify R into R 0.364 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1 0.364 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 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 R in phi1 0.364 * [backup-simplify]: Simplify R into R 0.364 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1 0.364 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 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 * [taylor]: Taking taylor expansion of R in phi1 0.365 * [backup-simplify]: Simplify R into R 0.365 * [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) 0.365 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2 0.365 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 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 * [taylor]: Taking taylor expansion of R in phi2 0.365 * [backup-simplify]: Simplify R into R 0.365 * [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) 0.365 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1 0.365 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 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 * [taylor]: Taking taylor expansion of R in lambda1 0.365 * [backup-simplify]: Simplify R into R 0.366 * [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) 0.366 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2 0.366 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.366 * [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))))) 0.366 * [taylor]: Taking taylor expansion of R in lambda2 0.366 * [backup-simplify]: Simplify R into R 0.366 * [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) 0.366 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R 0.366 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R 0.366 * [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))))) 0.366 * [taylor]: Taking taylor expansion of R in R 0.366 * [backup-simplify]: Simplify 0 into 0 0.366 * [backup-simplify]: Simplify 1 into 1 0.367 * [backup-simplify]: Simplify (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) 0) into 0 0.367 * [backup-simplify]: Simplify 0 into 0 0.367 * [backup-simplify]: Simplify (+ (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) 0) (* 0 R)) into 0 0.367 * [taylor]: Taking taylor expansion of 0 in phi2 0.367 * [backup-simplify]: Simplify 0 into 0 0.367 * [taylor]: Taking taylor expansion of 0 in lambda1 0.367 * [backup-simplify]: Simplify 0 into 0 0.367 * [taylor]: Taking taylor expansion of 0 in lambda2 0.367 * [backup-simplify]: Simplify 0 into 0 0.367 * [taylor]: Taking taylor expansion of 0 in R 0.367 * [backup-simplify]: Simplify 0 into 0 0.367 * [backup-simplify]: Simplify 0 into 0 0.367 * [backup-simplify]: Simplify (+ (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) 0) (* 0 R)) into 0 0.367 * [taylor]: Taking taylor expansion of 0 in lambda1 0.367 * [backup-simplify]: Simplify 0 into 0 0.367 * [taylor]: Taking taylor expansion of 0 in lambda2 0.367 * [backup-simplify]: Simplify 0 into 0 0.367 * [taylor]: Taking taylor expansion of 0 in R 0.367 * [backup-simplify]: Simplify 0 into 0 0.367 * [backup-simplify]: Simplify 0 into 0 0.367 * [backup-simplify]: Simplify (+ (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) 0) (* 0 R)) into 0 0.368 * [taylor]: Taking taylor expansion of 0 in lambda2 0.368 * [backup-simplify]: Simplify 0 into 0 0.368 * [taylor]: Taking taylor expansion of 0 in R 0.368 * [backup-simplify]: Simplify 0 into 0 0.368 * [backup-simplify]: Simplify 0 into 0 0.368 * [backup-simplify]: Simplify (+ (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) 0) (* 0 R)) into 0 0.368 * [taylor]: Taking taylor expansion of 0 in R 0.368 * [backup-simplify]: Simplify 0 into 0 0.368 * [backup-simplify]: Simplify 0 into 0 0.368 * [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))))) 0.369 * [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))))) 0.369 * [backup-simplify]: Simplify (+ (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) 0) (+ (* 0 0) (* 0 R))) into 0 0.370 * [taylor]: Taking taylor expansion of 0 in phi2 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [taylor]: Taking taylor expansion of 0 in lambda1 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [taylor]: Taking taylor expansion of 0 in lambda2 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [taylor]: Taking taylor expansion of 0 in R 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [taylor]: Taking taylor expansion of 0 in lambda1 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [taylor]: Taking taylor expansion of 0 in lambda2 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [taylor]: Taking taylor expansion of 0 in R 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify (+ (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) 0) (+ (* 0 0) (* 0 R))) into 0 0.370 * [taylor]: Taking taylor expansion of 0 in lambda1 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [taylor]: Taking taylor expansion of 0 in lambda2 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [taylor]: Taking taylor expansion of 0 in R 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [taylor]: Taking taylor expansion of 0 in lambda2 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [taylor]: Taking taylor expansion of 0 in R 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [taylor]: Taking taylor expansion of 0 in lambda2 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [taylor]: Taking taylor expansion of 0 in R 0.370 * [backup-simplify]: Simplify 0 into 0 0.371 * [backup-simplify]: Simplify 0 into 0 0.371 * [backup-simplify]: Simplify (+ (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) 0) (+ (* 0 0) (* 0 R))) into 0 0.371 * [taylor]: Taking taylor expansion of 0 in lambda2 0.371 * [backup-simplify]: Simplify 0 into 0 0.371 * [taylor]: Taking taylor expansion of 0 in R 0.371 * [backup-simplify]: Simplify 0 into 0 0.371 * [backup-simplify]: Simplify 0 into 0 0.372 * [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) 0.372 * [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) 0.372 * [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 0.372 * [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 0.372 * [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 0.372 * [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 R in R 0.372 * [backup-simplify]: Simplify 0 into 0 0.372 * [backup-simplify]: Simplify 1 into 1 0.373 * [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))))))) 0.373 * [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 0.373 * [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 0.373 * [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))))))) 0.373 * [taylor]: Taking taylor expansion of R in lambda2 0.373 * [backup-simplify]: Simplify R into R 0.373 * [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) 0.373 * [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 0.373 * [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 0.374 * [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))))))) 0.374 * [taylor]: Taking taylor expansion of R in lambda1 0.374 * [backup-simplify]: Simplify R into R 0.374 * [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) 0.374 * [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 0.374 * [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 0.374 * [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))))))) 0.374 * [taylor]: Taking taylor expansion of R in phi2 0.374 * [backup-simplify]: Simplify R into R 0.374 * [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) 0.375 * [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 0.375 * [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 0.375 * [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))))))) 0.375 * [taylor]: Taking taylor expansion of R in phi1 0.375 * [backup-simplify]: Simplify R into R 0.375 * [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) 0.375 * [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 0.375 * [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 0.375 * [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))))))) 0.375 * [taylor]: Taking taylor expansion of R in phi1 0.375 * [backup-simplify]: Simplify R into R 0.376 * [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) 0.376 * [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 0.376 * [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 0.376 * [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))))))) 0.376 * [taylor]: Taking taylor expansion of R in phi2 0.376 * [backup-simplify]: Simplify R into R 0.376 * [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) 0.376 * [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 0.376 * [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 0.377 * [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))))))) 0.377 * [taylor]: Taking taylor expansion of R in lambda1 0.377 * [backup-simplify]: Simplify R into R 0.377 * [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) 0.377 * [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 0.377 * [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 0.377 * [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))))))) 0.377 * [taylor]: Taking taylor expansion of R in lambda2 0.377 * [backup-simplify]: Simplify R into R 0.378 * [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) 0.378 * [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 0.378 * [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 0.378 * [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))))))) 0.378 * [taylor]: Taking taylor expansion of R in R 0.378 * [backup-simplify]: Simplify 0 into 0 0.378 * [backup-simplify]: Simplify 1 into 1 0.378 * [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))))))) 0.379 * [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))))))) 0.379 * [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 0.379 * [taylor]: Taking taylor expansion of 0 in phi2 0.379 * [backup-simplify]: Simplify 0 into 0 0.379 * [taylor]: Taking taylor expansion of 0 in lambda1 0.379 * [backup-simplify]: Simplify 0 into 0 0.379 * [taylor]: Taking taylor expansion of 0 in lambda2 0.379 * [backup-simplify]: Simplify 0 into 0 0.379 * [taylor]: Taking taylor expansion of 0 in R 0.379 * [backup-simplify]: Simplify 0 into 0 0.380 * [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 0.380 * [taylor]: Taking taylor expansion of 0 in lambda1 0.380 * [backup-simplify]: Simplify 0 into 0 0.380 * [taylor]: Taking taylor expansion of 0 in lambda2 0.380 * [backup-simplify]: Simplify 0 into 0 0.380 * [taylor]: Taking taylor expansion of 0 in R 0.380 * [backup-simplify]: Simplify 0 into 0 0.380 * [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 0.380 * [taylor]: Taking taylor expansion of 0 in lambda2 0.380 * [backup-simplify]: Simplify 0 into 0 0.380 * [taylor]: Taking taylor expansion of 0 in R 0.380 * [backup-simplify]: Simplify 0 into 0 0.381 * [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 0.381 * [taylor]: Taking taylor expansion of 0 in R 0.381 * [backup-simplify]: Simplify 0 into 0 0.382 * [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 0.382 * [backup-simplify]: Simplify 0 into 0 0.382 * [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 0.382 * [taylor]: Taking taylor expansion of 0 in phi2 0.382 * [backup-simplify]: Simplify 0 into 0 0.382 * [taylor]: Taking taylor expansion of 0 in lambda1 0.382 * [backup-simplify]: Simplify 0 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 * [taylor]: Taking taylor expansion of 0 in lambda1 0.382 * [backup-simplify]: Simplify 0 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 0.383 * [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 0.383 * [taylor]: Taking taylor expansion of 0 in lambda1 0.383 * [backup-simplify]: Simplify 0 into 0 0.383 * [taylor]: Taking taylor expansion of 0 in lambda2 0.383 * [backup-simplify]: Simplify 0 into 0 0.383 * [taylor]: Taking taylor expansion of 0 in R 0.383 * [backup-simplify]: Simplify 0 into 0 0.383 * [taylor]: Taking taylor expansion of 0 in lambda2 0.383 * [backup-simplify]: Simplify 0 into 0 0.383 * [taylor]: Taking taylor expansion of 0 in R 0.383 * [backup-simplify]: Simplify 0 into 0 0.383 * [taylor]: Taking taylor expansion of 0 in lambda2 0.383 * [backup-simplify]: Simplify 0 into 0 0.383 * [taylor]: Taking taylor expansion of 0 in R 0.383 * [backup-simplify]: Simplify 0 into 0 0.383 * [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 0.383 * [taylor]: Taking taylor expansion of 0 in lambda2 0.383 * [backup-simplify]: Simplify 0 into 0 0.383 * [taylor]: Taking taylor expansion of 0 in R 0.383 * [backup-simplify]: Simplify 0 into 0 0.383 * [taylor]: Taking taylor expansion of 0 in R 0.383 * [backup-simplify]: Simplify 0 into 0 0.383 * [taylor]: Taking taylor expansion of 0 in R 0.383 * [backup-simplify]: Simplify 0 into 0 0.383 * [taylor]: Taking taylor expansion of 0 in R 0.383 * [backup-simplify]: Simplify 0 into 0 0.384 * [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 0.384 * [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 0 into 0 0.384 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify 0 into 0 0.385 * [backup-simplify]: Simplify (- (/ 0 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 0.385 * [backup-simplify]: Simplify 0 into 0 0.386 * [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) 0.386 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2))))))) (/ 1 (- R))) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) 0.386 * [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 0.386 * [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 0.386 * [taylor]: Taking taylor expansion of -1 in R 0.386 * [backup-simplify]: Simplify -1 into -1 0.386 * [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 0.386 * [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 0.387 * [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))))) 0.387 * [taylor]: Taking taylor expansion of R in R 0.387 * [backup-simplify]: Simplify 0 into 0 0.387 * [backup-simplify]: Simplify 1 into 1 0.387 * [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))))) 0.387 * [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 0.387 * [taylor]: Taking taylor expansion of -1 in lambda2 0.387 * [backup-simplify]: Simplify -1 into -1 0.387 * [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 0.387 * [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 0.387 * [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))))) 0.387 * [taylor]: Taking taylor expansion of R in lambda2 0.387 * [backup-simplify]: Simplify R into R 0.388 * [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) 0.388 * [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 0.388 * [taylor]: Taking taylor expansion of -1 in lambda1 0.388 * [backup-simplify]: Simplify -1 into -1 0.388 * [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 0.388 * [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 0.388 * [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))))) 0.388 * [taylor]: Taking taylor expansion of R in lambda1 0.388 * [backup-simplify]: Simplify R into R 0.388 * [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) 0.388 * [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 0.388 * [taylor]: Taking taylor expansion of -1 in phi2 0.388 * [backup-simplify]: Simplify -1 into -1 0.388 * [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 0.388 * [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 0.389 * [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))))) 0.389 * [taylor]: Taking taylor expansion of R in phi2 0.389 * [backup-simplify]: Simplify R into R 0.389 * [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) 0.389 * [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 0.389 * [taylor]: Taking taylor expansion of -1 in phi1 0.389 * [backup-simplify]: Simplify -1 into -1 0.389 * [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 0.389 * [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 0.389 * [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))))) 0.389 * [taylor]: Taking taylor expansion of R in phi1 0.389 * [backup-simplify]: Simplify R into R 0.390 * [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) 0.390 * [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 0.390 * [taylor]: Taking taylor expansion of -1 in phi1 0.390 * [backup-simplify]: Simplify -1 into -1 0.390 * [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 0.390 * [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 0.390 * [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))))) 0.390 * [taylor]: Taking taylor expansion of R in phi1 0.390 * [backup-simplify]: Simplify R into R 0.390 * [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) 0.391 * [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)) 0.391 * [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 0.391 * [taylor]: Taking taylor expansion of -1 in phi2 0.391 * [backup-simplify]: Simplify -1 into -1 0.391 * [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 0.391 * [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 0.391 * [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))))) 0.391 * [taylor]: Taking taylor expansion of R in phi2 0.391 * [backup-simplify]: Simplify R into R 0.391 * [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) 0.392 * [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)) 0.392 * [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 0.392 * [taylor]: Taking taylor expansion of -1 in lambda1 0.392 * [backup-simplify]: Simplify -1 into -1 0.392 * [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 0.392 * [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 0.392 * [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))))) 0.392 * [taylor]: Taking taylor expansion of R in lambda1 0.392 * [backup-simplify]: Simplify R into R 0.392 * [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) 0.393 * [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)) 0.393 * [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 0.393 * [taylor]: Taking taylor expansion of -1 in lambda2 0.393 * [backup-simplify]: Simplify -1 into -1 0.393 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in lambda2 0.393 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda2 0.393 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) 0.393 * [taylor]: Taking taylor expansion of R in lambda2 0.393 * [backup-simplify]: Simplify R into R 0.393 * [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) 0.394 * [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)) 0.394 * [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 0.394 * [taylor]: Taking taylor expansion of -1 in R 0.394 * [backup-simplify]: Simplify -1 into -1 0.394 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in R 0.394 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in R 0.394 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) 0.394 * [taylor]: Taking taylor expansion of R in R 0.394 * [backup-simplify]: Simplify 0 into 0 0.394 * [backup-simplify]: Simplify 1 into 1 0.394 * [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))))) 0.395 * [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)))))) 0.395 * [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)))))) 0.395 * [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 0.396 * [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 0.396 * [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 * [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 0.397 * [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 0.397 * [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 0.398 * [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 0.398 * [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 0.398 * [taylor]: Taking taylor expansion of 0 in lambda2 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 0.399 * [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 0.399 * [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 0.399 * [taylor]: Taking taylor expansion of 0 in R 0.399 * [backup-simplify]: Simplify 0 into 0 0.400 * [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 0.401 * [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 0.401 * [backup-simplify]: Simplify 0 into 0 0.401 * [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 0.402 * [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 0.402 * [taylor]: Taking taylor expansion of 0 in phi2 0.402 * [backup-simplify]: Simplify 0 into 0 0.402 * [taylor]: Taking taylor expansion of 0 in lambda1 0.402 * [backup-simplify]: Simplify 0 into 0 0.402 * [taylor]: Taking taylor expansion of 0 in lambda2 0.402 * [backup-simplify]: Simplify 0 into 0 0.402 * [taylor]: Taking taylor expansion of 0 in R 0.402 * [backup-simplify]: Simplify 0 into 0 0.402 * [taylor]: Taking taylor expansion of 0 in lambda1 0.402 * [backup-simplify]: Simplify 0 into 0 0.402 * [taylor]: Taking taylor expansion of 0 in lambda2 0.402 * [backup-simplify]: Simplify 0 into 0 0.402 * [taylor]: Taking taylor expansion of 0 in R 0.402 * [backup-simplify]: Simplify 0 into 0 0.402 * [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 0.403 * [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 0.403 * [taylor]: Taking taylor expansion of 0 in lambda1 0.403 * [backup-simplify]: Simplify 0 into 0 0.403 * [taylor]: Taking taylor expansion of 0 in lambda2 0.403 * [backup-simplify]: Simplify 0 into 0 0.403 * [taylor]: Taking taylor expansion of 0 in R 0.403 * [backup-simplify]: Simplify 0 into 0 0.403 * [taylor]: Taking taylor expansion of 0 in lambda2 0.403 * [backup-simplify]: Simplify 0 into 0 0.403 * [taylor]: Taking taylor expansion of 0 in R 0.403 * [backup-simplify]: Simplify 0 into 0 0.403 * [taylor]: Taking taylor expansion of 0 in lambda2 0.403 * [backup-simplify]: Simplify 0 into 0 0.403 * [taylor]: Taking taylor expansion of 0 in R 0.403 * [backup-simplify]: Simplify 0 into 0 0.404 * [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 0.405 * [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 0.405 * [taylor]: Taking taylor expansion of 0 in lambda2 0.405 * [backup-simplify]: Simplify 0 into 0 0.405 * [taylor]: Taking taylor expansion of 0 in R 0.405 * [backup-simplify]: Simplify 0 into 0 0.405 * [taylor]: Taking taylor expansion of 0 in R 0.405 * [backup-simplify]: Simplify 0 into 0 0.405 * [taylor]: Taking taylor expansion of 0 in R 0.405 * [backup-simplify]: Simplify 0 into 0 0.405 * [taylor]: Taking taylor expansion of 0 in R 0.405 * [backup-simplify]: Simplify 0 into 0 0.405 * [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 0.406 * [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 0.406 * [taylor]: Taking taylor expansion of 0 in R 0.406 * [backup-simplify]: Simplify 0 into 0 0.406 * [backup-simplify]: Simplify 0 into 0 0.406 * [backup-simplify]: Simplify 0 into 0 0.406 * [backup-simplify]: Simplify 0 into 0 0.406 * [backup-simplify]: Simplify 0 into 0 0.407 * [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 0.408 * [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 0.408 * [backup-simplify]: Simplify 0 into 0 0.409 * [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) 0.409 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 0.409 * [backup-simplify]: Simplify (* (sin phi1) (sin phi2)) into (* (sin phi1) (sin phi2)) 0.409 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 0.409 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 0.409 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 0.409 * [taylor]: Taking taylor expansion of phi1 in phi2 0.409 * [backup-simplify]: Simplify phi1 into phi1 0.409 * [backup-simplify]: Simplify (sin phi1) into (sin phi1) 0.409 * [backup-simplify]: Simplify (cos phi1) into (cos phi1) 0.409 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.409 * [taylor]: Taking taylor expansion of phi2 in phi2 0.409 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify 1 into 1 0.409 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.409 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.409 * [taylor]: Taking taylor expansion of phi1 in phi1 0.409 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify 1 into 1 0.409 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.409 * [taylor]: Taking taylor expansion of phi2 in phi1 0.409 * [backup-simplify]: Simplify phi2 into phi2 0.409 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 0.409 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 0.409 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.409 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.409 * [taylor]: Taking taylor expansion of phi1 in phi1 0.409 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify 1 into 1 0.409 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.409 * [taylor]: Taking taylor expansion of phi2 in phi1 0.409 * [backup-simplify]: Simplify phi2 into phi2 0.409 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 0.409 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 0.410 * [backup-simplify]: Simplify (* (sin phi2) 1) into (sin phi2) 0.410 * [backup-simplify]: Simplify (* (cos phi2) 0) into 0 0.410 * [backup-simplify]: Simplify (+ (sin phi2) 0) into (sin phi2) 0.410 * [backup-simplify]: Simplify (* 0 (sin phi2)) into 0 0.410 * [taylor]: Taking taylor expansion of 0 in phi2 0.410 * [backup-simplify]: Simplify 0 into 0 0.410 * [backup-simplify]: Simplify 0 into 0 0.410 * [backup-simplify]: Simplify (+ 0) into 0 0.410 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (* 0 1)) into 0 0.411 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.411 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (* 0 0)) into 0 0.411 * [backup-simplify]: Simplify (+ 0 0) into 0 0.412 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 0.412 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin phi2))) into (sin phi2) 0.412 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.412 * [taylor]: Taking taylor expansion of phi2 in phi2 0.412 * [backup-simplify]: Simplify 0 into 0 0.412 * [backup-simplify]: Simplify 1 into 1 0.412 * [backup-simplify]: Simplify 0 into 0 0.412 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.413 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (* 0 1))) into 0 0.413 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.414 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* 0 0))) into 0 0.414 * [backup-simplify]: Simplify (+ 0 0) into 0 0.414 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.415 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin phi2)))) into 0 0.415 * [taylor]: Taking taylor expansion of 0 in phi2 0.415 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 0.415 * [backup-simplify]: Simplify 1 into 1 0.415 * [backup-simplify]: Simplify 0 into 0 0.416 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.416 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.417 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 0.418 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 0.418 * [backup-simplify]: Simplify (+ 0 0) into 0 0.419 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 0.419 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin phi2))))) into (- (* 1/6 (sin phi2))) 0.419 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 0.419 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 0.419 * [taylor]: Taking taylor expansion of 1/6 in phi2 0.419 * [backup-simplify]: Simplify 1/6 into 1/6 0.419 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.419 * [taylor]: Taking taylor expansion of phi2 in phi2 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify 1 into 1 0.420 * [backup-simplify]: Simplify (* 1/6 0) into 0 0.420 * [backup-simplify]: Simplify (- 0) into 0 0.420 * [backup-simplify]: Simplify 0 into 0 0.420 * [backup-simplify]: Simplify 0 into 0 0.420 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.420 * [backup-simplify]: Simplify 0 into 0 0.420 * [backup-simplify]: Simplify 0 into 0 0.422 * [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 0.422 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.423 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 0.423 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 0.424 * [backup-simplify]: Simplify (+ 0 0) into 0 0.424 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 0.425 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 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 (* 1 (* phi2 phi1)) into (* phi2 phi1) 0.426 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 0.426 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 0.426 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.426 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.426 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.426 * [taylor]: Taking taylor expansion of phi1 in phi2 0.426 * [backup-simplify]: Simplify phi1 into phi1 0.426 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 0.426 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 0.426 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 0.426 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.426 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.426 * [taylor]: Taking taylor expansion of phi2 in phi2 0.426 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify 1 into 1 0.426 * [backup-simplify]: Simplify (/ 1 1) into 1 0.426 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 0.426 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.426 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.426 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.426 * [taylor]: Taking taylor expansion of phi1 in phi1 0.426 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify 1 into 1 0.426 * [backup-simplify]: Simplify (/ 1 1) into 1 0.426 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 0.426 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.427 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.427 * [taylor]: Taking taylor expansion of phi2 in phi1 0.427 * [backup-simplify]: Simplify phi2 into phi2 0.427 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 0.427 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 0.427 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 0.427 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.427 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.427 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.427 * [taylor]: Taking taylor expansion of phi1 in phi1 0.427 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify 1 into 1 0.427 * [backup-simplify]: Simplify (/ 1 1) into 1 0.427 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 0.427 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.427 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.427 * [taylor]: Taking taylor expansion of phi2 in phi1 0.427 * [backup-simplify]: Simplify phi2 into phi2 0.427 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 0.427 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 0.427 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 0.427 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 1) into (sin (/ 1 phi2)) 0.427 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 0) into 0 0.427 * [backup-simplify]: Simplify (+ (sin (/ 1 phi2)) 0) into (sin (/ 1 phi2)) 0.428 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 0.428 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.428 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.428 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.428 * [taylor]: Taking taylor expansion of phi1 in phi2 0.428 * [backup-simplify]: Simplify phi1 into phi1 0.428 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 0.428 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 0.428 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 0.428 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.428 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.428 * [taylor]: Taking taylor expansion of phi2 in phi2 0.428 * [backup-simplify]: Simplify 0 into 0 0.428 * [backup-simplify]: Simplify 1 into 1 0.428 * [backup-simplify]: Simplify (/ 1 1) into 1 0.428 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 0.428 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 1) into (sin (/ 1 phi1)) 0.428 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 0) into 0 0.428 * [backup-simplify]: Simplify (+ (sin (/ 1 phi1)) 0) into (sin (/ 1 phi1)) 0.428 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 0.428 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 0.429 * [backup-simplify]: Simplify (+ 0) into 0 0.429 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 1)) into 0 0.429 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 0.430 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.430 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 0)) into 0 0.430 * [backup-simplify]: Simplify (+ 0 0) into 0 0.430 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 (sin (/ 1 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 (+ 0) into 0 0.431 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 1)) into 0 0.431 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 0.431 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.432 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 0)) into 0 0.432 * [backup-simplify]: Simplify (+ 0 0) into 0 0.432 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 (sin (/ 1 phi2)))) into 0 0.432 * [backup-simplify]: Simplify 0 into 0 0.432 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.433 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 0.433 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 0.433 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.434 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 0.434 * [backup-simplify]: Simplify (+ 0 0) into 0 0.434 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi2))))) into 0 0.434 * [taylor]: Taking taylor expansion of 0 in phi2 0.434 * [backup-simplify]: Simplify 0 into 0 0.434 * [backup-simplify]: Simplify 0 into 0 0.434 * [backup-simplify]: Simplify 0 into 0 0.435 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.435 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 0.435 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 0.436 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.436 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 0.436 * [backup-simplify]: Simplify (+ 0 0) into 0 0.437 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi2))))) into 0 0.437 * [backup-simplify]: Simplify 0 into 0 0.437 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.438 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.438 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 0.439 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 0.439 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 0.439 * [backup-simplify]: Simplify (+ 0 0) into 0 0.440 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 phi2)))))) into 0 0.440 * [taylor]: Taking taylor expansion of 0 in phi2 0.440 * [backup-simplify]: Simplify 0 into 0 0.440 * [backup-simplify]: Simplify 0 into 0 0.440 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 phi1))) (sin (/ 1 (/ 1 phi2)))) into (* (sin phi1) (sin phi2)) 0.440 * [backup-simplify]: Simplify (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 0.440 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 0.440 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.440 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.440 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.440 * [taylor]: Taking taylor expansion of -1 in phi2 0.440 * [backup-simplify]: Simplify -1 into -1 0.440 * [taylor]: Taking taylor expansion of phi1 in phi2 0.440 * [backup-simplify]: Simplify phi1 into phi1 0.440 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 0.440 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 0.440 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 0.440 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.440 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.440 * [taylor]: Taking taylor expansion of -1 in phi2 0.440 * [backup-simplify]: Simplify -1 into -1 0.440 * [taylor]: Taking taylor expansion of phi2 in phi2 0.440 * [backup-simplify]: Simplify 0 into 0 0.440 * [backup-simplify]: Simplify 1 into 1 0.441 * [backup-simplify]: Simplify (/ -1 1) into -1 0.441 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 0.441 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.441 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.441 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.441 * [taylor]: Taking taylor expansion of -1 in phi1 0.441 * [backup-simplify]: Simplify -1 into -1 0.441 * [taylor]: Taking taylor expansion of phi1 in phi1 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 0.441 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 0.441 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.441 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.441 * [taylor]: Taking taylor expansion of -1 in phi1 0.441 * [backup-simplify]: Simplify -1 into -1 0.441 * [taylor]: Taking taylor expansion of phi2 in phi1 0.441 * [backup-simplify]: Simplify phi2 into phi2 0.441 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 0.441 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 0.441 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 0.441 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.441 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.441 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.441 * [taylor]: Taking taylor expansion of -1 in phi1 0.441 * [backup-simplify]: Simplify -1 into -1 0.441 * [taylor]: Taking taylor expansion of phi1 in phi1 0.441 * [backup-simplify]: Simplify 0 into 0 0.441 * [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 -1 in phi1 0.442 * [backup-simplify]: Simplify -1 into -1 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 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 1) into (sin (/ -1 phi2)) 0.442 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 0) into 0 0.442 * [backup-simplify]: Simplify (+ (sin (/ -1 phi2)) 0) into (sin (/ -1 phi2)) 0.442 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 0.442 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.442 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.442 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.442 * [taylor]: Taking taylor expansion of -1 in phi2 0.442 * [backup-simplify]: Simplify -1 into -1 0.442 * [taylor]: Taking taylor expansion of phi1 in phi2 0.442 * [backup-simplify]: Simplify phi1 into phi1 0.442 * [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 -1 in phi2 0.443 * [backup-simplify]: Simplify -1 into -1 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 0.443 * [backup-simplify]: Simplify (/ -1 1) into -1 0.443 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 0.443 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 1) into (sin (/ -1 phi1)) 0.443 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 0) into 0 0.443 * [backup-simplify]: Simplify (+ (sin (/ -1 phi1)) 0) into (sin (/ -1 phi1)) 0.443 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 0.443 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 0.444 * [backup-simplify]: Simplify (+ 0) into 0 0.444 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 1)) into 0 0.444 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0 0.444 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.445 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 0)) into 0 0.445 * [backup-simplify]: Simplify (+ 0 0) into 0 0.445 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 0.445 * [taylor]: Taking taylor expansion of 0 in phi2 0.445 * [backup-simplify]: Simplify 0 into 0 0.445 * [backup-simplify]: Simplify 0 into 0 0.445 * [backup-simplify]: Simplify (+ 0) into 0 0.446 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 1)) into 0 0.446 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0 0.446 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.446 * [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 0.447 * [backup-simplify]: Simplify 0 into 0 0.447 * [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 0.448 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 0.448 * [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 0.449 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 0.449 * [taylor]: Taking taylor expansion of 0 in phi2 0.449 * [backup-simplify]: Simplify 0 into 0 0.449 * [backup-simplify]: Simplify 0 into 0 0.449 * [backup-simplify]: Simplify 0 into 0 0.450 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.450 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 0.450 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 0.451 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.451 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 0.451 * [backup-simplify]: Simplify (+ 0 0) into 0 0.455 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 0.455 * [backup-simplify]: Simplify 0 into 0 0.456 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.456 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.456 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 0.457 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 0.457 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 0.458 * [backup-simplify]: Simplify (+ 0 0) into 0 0.458 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2)))))) into 0 0.458 * [taylor]: Taking taylor expansion of 0 in phi2 0.458 * [backup-simplify]: Simplify 0 into 0 0.458 * [backup-simplify]: Simplify 0 into 0 0.458 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) into (* (sin phi1) (sin phi2)) 0.458 * * * [progress]: simplifying candidates 0.459 * [simplify]: Simplifying: (expm1 (cos (- lambda1 lambda2))) (log1p (cos (- lambda1 lambda2))) (* (cos (fma (* (cbrt lambda1) (cbrt lambda1)) (cbrt lambda1) (- (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (cos (fma (- (cbrt lambda2)) (* (cbrt lambda2) (cbrt lambda2)) (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (* (sin (fma (* (cbrt lambda1) (cbrt lambda1)) (cbrt lambda1) (- (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (sin (fma (- (cbrt lambda2)) (* (cbrt lambda2) (cbrt lambda2)) (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (* (cos (fma (* (cbrt lambda1) (cbrt lambda1)) (cbrt lambda1) (- (* (sqrt lambda2) (sqrt lambda2))))) (cos (fma (- (sqrt lambda2)) (sqrt lambda2) (* (sqrt lambda2) (sqrt lambda2))))) (* (sin (fma (* (cbrt lambda1) (cbrt lambda1)) (cbrt lambda1) (- (* (sqrt lambda2) (sqrt lambda2))))) (sin (fma (- (sqrt lambda2)) (sqrt lambda2) (* (sqrt lambda2) (sqrt lambda2))))) (* (cos (fma (* (cbrt lambda1) (cbrt lambda1)) (cbrt lambda1) (- (* lambda2 1)))) (cos (fma (- lambda2) 1 (* lambda2 1)))) (* (sin (fma (* (cbrt lambda1) (cbrt lambda1)) (cbrt lambda1) (- (* lambda2 1)))) (sin (fma (- lambda2) 1 (* lambda2 1)))) (* (cos (fma (sqrt lambda1) (sqrt lambda1) (- (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (cos (fma (- (cbrt lambda2)) (* (cbrt lambda2) (cbrt lambda2)) (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (* (sin (fma (sqrt lambda1) (sqrt lambda1) (- (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (sin (fma (- (cbrt lambda2)) (* (cbrt lambda2) (cbrt lambda2)) (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (* (cos (fma (sqrt lambda1) (sqrt lambda1) (- (* (sqrt lambda2) (sqrt lambda2))))) (cos (fma (- (sqrt lambda2)) (sqrt lambda2) (* (sqrt lambda2) (sqrt lambda2))))) (* (sin (fma (sqrt lambda1) (sqrt lambda1) (- (* (sqrt lambda2) (sqrt lambda2))))) (sin (fma (- (sqrt lambda2)) (sqrt lambda2) (* (sqrt lambda2) (sqrt lambda2))))) (* (cos (fma (sqrt lambda1) (sqrt lambda1) (- (* lambda2 1)))) (cos (fma (- lambda2) 1 (* lambda2 1)))) (* (sin (fma (sqrt lambda1) (sqrt lambda1) (- (* lambda2 1)))) (sin (fma (- lambda2) 1 (* lambda2 1)))) (* (cos (fma 1 lambda1 (- (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (cos (fma (- (cbrt lambda2)) (* (cbrt lambda2) (cbrt lambda2)) (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (* (sin (fma 1 lambda1 (- (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (sin (fma (- (cbrt lambda2)) (* (cbrt lambda2) (cbrt lambda2)) (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (* (cos (fma 1 lambda1 (- (* (sqrt lambda2) (sqrt lambda2))))) (cos (fma (- (sqrt lambda2)) (sqrt lambda2) (* (sqrt lambda2) (sqrt lambda2))))) (* (sin (fma 1 lambda1 (- (* (sqrt lambda2) (sqrt lambda2))))) (sin (fma (- (sqrt lambda2)) (sqrt lambda2) (* (sqrt lambda2) (sqrt lambda2))))) (* (cos (fma 1 lambda1 (- (* lambda2 1)))) (cos (fma (- lambda2) 1 (* lambda2 1)))) (* (sin (fma 1 lambda1 (- (* lambda2 1)))) (sin (fma (- lambda2) 1 (* lambda2 1)))) (* (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))) (expm1 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (log1p (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (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)))))) (expm1 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (log1p (* (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) (+ (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) (expm1 (* (sin phi1) (sin phi2))) (log1p (* (sin phi1) (sin phi2))) (- (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)) 0.460 * [simplify]: Sending expressions to egg_math: (expm1 (cos (- h1 h0))) (log1p (cos (- h1 h0))) (* (cos (fma (* (cbrt h1) (cbrt h1)) (cbrt h1) (- (* (cbrt h0) (* (cbrt h0) (cbrt h0)))))) (cos (fma (- (cbrt h0)) (* (cbrt h0) (cbrt h0)) (* (cbrt h0) (* (cbrt h0) (cbrt h0)))))) (* (sin (fma (* (cbrt h1) (cbrt h1)) (cbrt h1) (- (* (cbrt h0) (* (cbrt h0) (cbrt h0)))))) (sin (fma (- (cbrt h0)) (* (cbrt h0) (cbrt h0)) (* (cbrt h0) (* (cbrt h0) (cbrt h0)))))) (* (cos (fma (* (cbrt h1) (cbrt h1)) (cbrt h1) (- (* (sqrt h0) (sqrt h0))))) (cos (fma (- (sqrt h0)) (sqrt h0) (* (sqrt h0) (sqrt h0))))) (* (sin (fma (* (cbrt h1) (cbrt h1)) (cbrt h1) (- (* (sqrt h0) (sqrt h0))))) (sin (fma (- (sqrt h0)) (sqrt h0) (* (sqrt h0) (sqrt h0))))) (* (cos (fma (* (cbrt h1) (cbrt h1)) (cbrt h1) (- (* h0 1)))) (cos (fma (- h0) 1 (* h0 1)))) (* (sin (fma (* (cbrt h1) (cbrt h1)) (cbrt h1) (- (* h0 1)))) (sin (fma (- h0) 1 (* h0 1)))) (* (cos (fma (sqrt h1) (sqrt h1) (- (* (cbrt h0) (* (cbrt h0) (cbrt h0)))))) (cos (fma (- (cbrt h0)) (* (cbrt h0) (cbrt h0)) (* (cbrt h0) (* (cbrt h0) (cbrt h0)))))) (* (sin (fma (sqrt h1) (sqrt h1) (- (* (cbrt h0) (* (cbrt h0) (cbrt h0)))))) (sin (fma (- (cbrt h0)) (* (cbrt h0) (cbrt h0)) (* (cbrt h0) (* (cbrt h0) (cbrt h0)))))) (* (cos (fma (sqrt h1) (sqrt h1) (- (* (sqrt h0) (sqrt h0))))) (cos (fma (- (sqrt h0)) (sqrt h0) (* (sqrt h0) (sqrt h0))))) (* (sin (fma (sqrt h1) (sqrt h1) (- (* (sqrt h0) (sqrt h0))))) (sin (fma (- (sqrt h0)) (sqrt h0) (* (sqrt h0) (sqrt h0))))) (* (cos (fma (sqrt h1) (sqrt h1) (- (* h0 1)))) (cos (fma (- h0) 1 (* h0 1)))) (* (sin (fma (sqrt h1) (sqrt h1) (- (* h0 1)))) (sin (fma (- h0) 1 (* h0 1)))) (* (cos (fma 1 h1 (- (* (cbrt h0) (* (cbrt h0) (cbrt h0)))))) (cos (fma (- (cbrt h0)) (* (cbrt h0) (cbrt h0)) (* (cbrt h0) (* (cbrt h0) (cbrt h0)))))) (* (sin (fma 1 h1 (- (* (cbrt h0) (* (cbrt h0) (cbrt h0)))))) (sin (fma (- (cbrt h0)) (* (cbrt h0) (cbrt h0)) (* (cbrt h0) (* (cbrt h0) (cbrt h0)))))) (* (cos (fma 1 h1 (- (* (sqrt h0) (sqrt h0))))) (cos (fma (- (sqrt h0)) (sqrt h0) (* (sqrt h0) (sqrt h0))))) (* (sin (fma 1 h1 (- (* (sqrt h0) (sqrt h0))))) (sin (fma (- (sqrt h0)) (sqrt h0) (* (sqrt h0) (sqrt h0))))) (* (cos (fma 1 h1 (- (* h0 1)))) (cos (fma (- h0) 1 (* h0 1)))) (* (sin (fma 1 h1 (- (* h0 1)))) (sin (fma (- h0) 1 (* h0 1)))) (* (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))) (expm1 (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (cos (- h1 h0)))))) (log1p (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (cos (- h1 h0)))))) (/ h4 2) (asin (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (cos (- h1 h0))))) (log (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (cos (- h1 h0)))))) (exp (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (cos (- h1 h0)))))) (* (cbrt (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (cos (- h1 h0)))))) (cbrt (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (cos (- h1 h0))))))) (cbrt (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (cos (- h1 h0)))))) (* (* (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (cos (- h1 h0))))) (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (cos (- h1 h0)))))) (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (cos (- h1 h0)))))) (sqrt (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (cos (- h1 h0)))))) (sqrt (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (cos (- h1 h0)))))) (expm1 (* (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (cos (- h1 h0))))) h5)) (log1p (* (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (cos (- h1 h0))))) h5)) (* (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (cos (- h1 h0))))) h5) (+ (log (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (cos (- h1 h0)))))) (log h5)) (log (* (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (cos (- h1 h0))))) h5)) (exp (* (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (cos (- h1 h0))))) h5)) (* (* (* (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (cos (- h1 h0))))) (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (cos (- h1 h0)))))) (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (cos (- h1 h0)))))) (* (* h5 h5) h5)) (* (cbrt (* (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (cos (- h1 h0))))) h5)) (cbrt (* (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (cos (- h1 h0))))) h5))) (cbrt (* (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (cos (- h1 h0))))) h5)) (* (* (* (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (cos (- h1 h0))))) h5) (* (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (cos (- h1 h0))))) h5)) (* (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (cos (- h1 h0))))) h5)) (sqrt (* (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (cos (- h1 h0))))) h5)) (sqrt (* (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (cos (- h1 h0))))) h5)) (* (sqrt (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (cos (- h1 h0)))))) (sqrt h5)) (* (sqrt (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (cos (- h1 h0)))))) (sqrt h5)) (* (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (cos (- h1 h0))))) (* (cbrt h5) (cbrt h5))) (* (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (cos (- h1 h0))))) (sqrt h5)) (* (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (cos (- h1 h0))))) 1) (* (cbrt (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (cos (- h1 h0)))))) h5) (* (sqrt (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (cos (- h1 h0)))))) h5) (* (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (cos (- h1 h0))))) h5) (expm1 (* (sin h3) (sin h2))) (log1p (* (sin h3) (sin h2))) (- (cos (- h3 h2)) (cos (+ h3 h2))) (* (sin h3) (sin h2)) (+ (log (sin h3)) (log (sin h2))) (log (* (sin h3) (sin h2))) (exp (* (sin h3) (sin h2))) (* (* (* (sin h3) (sin h3)) (sin h3)) (* (* (sin h2) (sin h2)) (sin h2))) (* (cbrt (* (sin h3) (sin h2))) (cbrt (* (sin h3) (sin h2)))) (cbrt (* (sin h3) (sin h2))) (* (* (* (sin h3) (sin h2)) (* (sin h3) (sin h2))) (* (sin h3) (sin h2))) (sqrt (* (sin h3) (sin h2))) (sqrt (* (sin h3) (sin h2))) (* (sqrt (sin h3)) (sqrt (sin h2))) (* (sqrt (sin h3)) (sqrt (sin h2))) (* (sin h3) (* (cbrt (sin h2)) (cbrt (sin h2)))) (* (sin h3) (sqrt (sin h2))) (* (sin h3) 1) (* (cbrt (sin h3)) (sin h2)) (* (sqrt (sin h3)) (sin h2)) (* (sin h3) (sin h2)) (- (+ 1 (* h0 h1)) (* 1/2 (pow h1 2))) (cos (- h1 h0)) (cos (- h1 h0)) (acos (+ (* (sin h3) (sin h2)) (* (cos h3) (* (cos (- h1 h0)) (cos h2))))) (acos (+ (* (sin h3) (sin h2)) (* (cos h3) (* (cos (- h1 h0)) (cos h2))))) (acos (+ (* (sin h3) (sin h2)) (* (cos h3) (* (cos (- h1 h0)) (cos h2))))) (* (acos (+ (* (sin h3) (sin h2)) (* (cos h3) (* (cos (- h1 h0)) (cos h2))))) h5) (* (acos (+ (* (sin h3) (sin h2)) (* (cos h3) (* (cos (- h1 h0)) (cos h2))))) h5) (* (acos (+ (* (sin h3) (sin h2)) (* (cos h3) (* (cos (- h1 h0)) (cos h2))))) h5) (* h2 h3) (* (sin h3) (sin h2)) (* (sin h3) (sin h2)) 0.465 * * [simplify]: iteration 0 : 323 enodes (cost 995 ) 0.469 * * [simplify]: iteration 1 : 789 enodes (cost 819 ) 0.482 * * [simplify]: iteration 2 : 2620 enodes (cost 818 ) 0.517 * * [simplify]: iteration 3 : 5002 enodes (cost 793 ) 0.521 * * * [progress]: adding candidates to table 0.813 * * [progress]: iteration 2 / 4 0.813 * * * [progress]: picking best candidate 0.882 * * * * [pick]: Picked # 0.882 * * * [progress]: localizing error 0.913 * * * [progress]: generating rewritten candidates 0.913 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.915 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.922 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 0.934 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 2 2) 0.947 * * * [progress]: generating series expansions 0.947 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.947 * [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))))))) 0.947 * [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 0.947 * [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 0.948 * [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))))))) 0.948 * [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 0.948 * [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))))))) 0.948 * [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 0.948 * [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))))))) 0.949 * [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 0.949 * [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))))))) 0.949 * [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 0.949 * [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))))))) 0.949 * [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 0.950 * [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))))))) 0.950 * [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 0.950 * [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))))))) 0.950 * [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 0.950 * [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))))))) 0.951 * [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))))))) 0.951 * [taylor]: Taking taylor expansion of 0 in phi2 0.951 * [backup-simplify]: Simplify 0 into 0 0.951 * [taylor]: Taking taylor expansion of 0 in lambda1 0.951 * [backup-simplify]: Simplify 0 into 0 0.951 * [taylor]: Taking taylor expansion of 0 in lambda2 0.951 * [backup-simplify]: Simplify 0 into 0 0.951 * [backup-simplify]: Simplify 0 into 0 0.951 * [taylor]: Taking taylor expansion of 0 in lambda1 0.951 * [backup-simplify]: Simplify 0 into 0 0.951 * [taylor]: Taking taylor expansion of 0 in lambda2 0.951 * [backup-simplify]: Simplify 0 into 0 0.951 * [backup-simplify]: Simplify 0 into 0 0.951 * [taylor]: Taking taylor expansion of 0 in lambda2 0.951 * [backup-simplify]: Simplify 0 into 0 0.951 * [backup-simplify]: Simplify 0 into 0 0.951 * [backup-simplify]: Simplify 0 into 0 0.951 * [taylor]: Taking taylor expansion of 0 in phi2 0.951 * [backup-simplify]: Simplify 0 into 0 0.951 * [taylor]: Taking taylor expansion of 0 in lambda1 0.951 * [backup-simplify]: Simplify 0 into 0 0.951 * [taylor]: Taking taylor expansion of 0 in lambda2 0.951 * [backup-simplify]: Simplify 0 into 0 0.951 * [backup-simplify]: Simplify 0 into 0 0.951 * [taylor]: Taking taylor expansion of 0 in lambda1 0.951 * [backup-simplify]: Simplify 0 into 0 0.951 * [taylor]: Taking taylor expansion of 0 in lambda2 0.951 * [backup-simplify]: Simplify 0 into 0 0.951 * [backup-simplify]: Simplify 0 into 0 0.952 * [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))))))) 0.952 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 0.952 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0 0.952 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 0.955 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 0.955 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 0.955 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 0.955 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 0.956 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 0.956 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 0.956 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 0.956 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 0.957 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 0.957 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 0.957 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 0.957 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 0.958 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 0.958 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 0.958 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 0.959 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 0.959 * [taylor]: Taking taylor expansion of 0 in phi2 0.959 * [backup-simplify]: Simplify 0 into 0 0.959 * [taylor]: Taking taylor expansion of 0 in lambda1 0.959 * [backup-simplify]: Simplify 0 into 0 0.959 * [taylor]: Taking taylor expansion of 0 in lambda2 0.959 * [backup-simplify]: Simplify 0 into 0 0.959 * [backup-simplify]: Simplify 0 into 0 0.959 * [taylor]: Taking taylor expansion of 0 in lambda1 0.959 * [backup-simplify]: Simplify 0 into 0 0.959 * [taylor]: Taking taylor expansion of 0 in lambda2 0.959 * [backup-simplify]: Simplify 0 into 0 0.959 * [backup-simplify]: Simplify 0 into 0 0.959 * [taylor]: Taking taylor expansion of 0 in lambda2 0.959 * [backup-simplify]: Simplify 0 into 0 0.959 * [backup-simplify]: Simplify 0 into 0 0.959 * [backup-simplify]: Simplify 0 into 0 0.959 * [taylor]: Taking taylor expansion of 0 in phi2 0.959 * [backup-simplify]: Simplify 0 into 0 0.959 * [taylor]: Taking taylor expansion of 0 in lambda1 0.959 * [backup-simplify]: Simplify 0 into 0 0.959 * [taylor]: Taking taylor expansion of 0 in lambda2 0.959 * [backup-simplify]: Simplify 0 into 0 0.959 * [backup-simplify]: Simplify 0 into 0 0.959 * [taylor]: Taking taylor expansion of 0 in lambda1 0.959 * [backup-simplify]: Simplify 0 into 0 0.959 * [taylor]: Taking taylor expansion of 0 in lambda2 0.960 * [backup-simplify]: Simplify 0 into 0 0.960 * [backup-simplify]: Simplify 0 into 0 0.960 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 phi1))) (cos (/ 1 (/ 1 lambda1)))))) (+ (* (sin (/ 1 (/ 1 phi1))) (sin (/ 1 (/ 1 phi2)))) (* (sin (/ 1 (/ 1 lambda1))) (* (sin (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi2))) (cos (/ 1 (/ 1 phi1))))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) 0.961 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 0.961 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0 0.961 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 0.961 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 0.961 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 0.962 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 0.962 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 0.962 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 0.962 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 0.963 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 0.963 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 0.963 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 0.963 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 0.964 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 0.964 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 0.964 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 0.964 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 0.965 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 0.965 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 0.965 * [taylor]: Taking taylor expansion of 0 in phi2 0.965 * [backup-simplify]: Simplify 0 into 0 0.965 * [taylor]: Taking taylor expansion of 0 in lambda1 0.965 * [backup-simplify]: Simplify 0 into 0 0.966 * [taylor]: Taking taylor expansion of 0 in lambda2 0.966 * [backup-simplify]: Simplify 0 into 0 0.966 * [backup-simplify]: Simplify 0 into 0 0.966 * [taylor]: Taking taylor expansion of 0 in lambda1 0.966 * [backup-simplify]: Simplify 0 into 0 0.966 * [taylor]: Taking taylor expansion of 0 in lambda2 0.966 * [backup-simplify]: Simplify 0 into 0 0.966 * [backup-simplify]: Simplify 0 into 0 0.966 * [taylor]: Taking taylor expansion of 0 in lambda2 0.966 * [backup-simplify]: Simplify 0 into 0 0.966 * [backup-simplify]: Simplify 0 into 0 0.966 * [backup-simplify]: Simplify 0 into 0 0.966 * [taylor]: Taking taylor expansion of 0 in phi2 0.966 * [backup-simplify]: Simplify 0 into 0 0.966 * [taylor]: Taking taylor expansion of 0 in lambda1 0.966 * [backup-simplify]: Simplify 0 into 0 0.966 * [taylor]: Taking taylor expansion of 0 in lambda2 0.966 * [backup-simplify]: Simplify 0 into 0 0.966 * [backup-simplify]: Simplify 0 into 0 0.966 * [taylor]: Taking taylor expansion of 0 in lambda1 0.966 * [backup-simplify]: Simplify 0 into 0 0.966 * [taylor]: Taking taylor expansion of 0 in lambda2 0.966 * [backup-simplify]: Simplify 0 into 0 0.966 * [backup-simplify]: Simplify 0 into 0 0.967 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2))))))) (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2)))))))) into (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 0.967 * * * * [progress]: [ 2 / 4 ] generating series at (2) 0.967 * [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) 0.967 * [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 0.967 * [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 0.967 * [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 0.967 * [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))))))) 0.967 * [taylor]: Taking taylor expansion of R in R 0.967 * [backup-simplify]: Simplify 0 into 0 0.968 * [backup-simplify]: Simplify 1 into 1 0.968 * [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 0.968 * [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 0.968 * [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))))))) 0.968 * [taylor]: Taking taylor expansion of R in lambda2 0.968 * [backup-simplify]: Simplify R into R 0.968 * [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 0.968 * [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 0.968 * [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))))))) 0.968 * [taylor]: Taking taylor expansion of R in lambda1 0.968 * [backup-simplify]: Simplify R into R 0.968 * [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 0.968 * [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 0.969 * [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))))))) 0.969 * [taylor]: Taking taylor expansion of R in phi2 0.969 * [backup-simplify]: Simplify R into R 0.969 * [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 0.969 * [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 0.969 * [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))))))) 0.969 * [taylor]: Taking taylor expansion of R in phi1 0.969 * [backup-simplify]: Simplify R into R 0.969 * [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 0.969 * [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 0.970 * [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))))))) 0.970 * [taylor]: Taking taylor expansion of R in phi1 0.970 * [backup-simplify]: Simplify R into R 0.970 * [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) 0.970 * [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 0.970 * [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 0.971 * [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))))))) 0.971 * [taylor]: Taking taylor expansion of R in phi2 0.971 * [backup-simplify]: Simplify R into R 0.971 * [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) 0.971 * [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 0.971 * [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 0.971 * [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))))))) 0.971 * [taylor]: Taking taylor expansion of R in lambda1 0.971 * [backup-simplify]: Simplify R into R 0.972 * [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) 0.972 * [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 0.972 * [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 0.972 * [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))))))) 0.972 * [taylor]: Taking taylor expansion of R in lambda2 0.972 * [backup-simplify]: Simplify R into R 0.973 * [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) 0.973 * [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 0.973 * [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 0.973 * [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))))))) 0.973 * [taylor]: Taking taylor expansion of R in R 0.973 * [backup-simplify]: Simplify 0 into 0 0.973 * [backup-simplify]: Simplify 1 into 1 0.973 * [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 0.973 * [backup-simplify]: Simplify 0 into 0 0.974 * [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 0.974 * [taylor]: Taking taylor expansion of 0 in phi2 0.974 * [backup-simplify]: Simplify 0 into 0 0.974 * [taylor]: Taking taylor expansion of 0 in lambda1 0.974 * [backup-simplify]: Simplify 0 into 0 0.974 * [taylor]: Taking taylor expansion of 0 in lambda2 0.974 * [backup-simplify]: Simplify 0 into 0 0.974 * [taylor]: Taking taylor expansion of 0 in R 0.974 * [backup-simplify]: Simplify 0 into 0 0.974 * [backup-simplify]: Simplify 0 into 0 0.974 * [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 0.974 * [taylor]: Taking taylor expansion of 0 in lambda1 0.974 * [backup-simplify]: Simplify 0 into 0 0.974 * [taylor]: Taking taylor expansion of 0 in lambda2 0.974 * [backup-simplify]: Simplify 0 into 0 0.974 * [taylor]: Taking taylor expansion of 0 in R 0.974 * [backup-simplify]: Simplify 0 into 0 0.975 * [backup-simplify]: Simplify 0 into 0 0.975 * [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 0.975 * [taylor]: Taking taylor expansion of 0 in lambda2 0.975 * [backup-simplify]: Simplify 0 into 0 0.975 * [taylor]: Taking taylor expansion of 0 in R 0.975 * [backup-simplify]: Simplify 0 into 0 0.975 * [backup-simplify]: Simplify 0 into 0 0.975 * [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 0.975 * [taylor]: Taking taylor expansion of 0 in R 0.975 * [backup-simplify]: Simplify 0 into 0 0.975 * [backup-simplify]: Simplify 0 into 0 0.976 * [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))))))) 0.977 * [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))))))) 0.978 * [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 0.978 * [taylor]: Taking taylor expansion of 0 in phi2 0.978 * [backup-simplify]: Simplify 0 into 0 0.978 * [taylor]: Taking taylor expansion of 0 in lambda1 0.978 * [backup-simplify]: Simplify 0 into 0 0.978 * [taylor]: Taking taylor expansion of 0 in lambda2 0.978 * [backup-simplify]: Simplify 0 into 0 0.978 * [taylor]: Taking taylor expansion of 0 in R 0.978 * [backup-simplify]: Simplify 0 into 0 0.978 * [backup-simplify]: Simplify 0 into 0 0.978 * [taylor]: Taking taylor expansion of 0 in lambda1 0.978 * [backup-simplify]: Simplify 0 into 0 0.978 * [taylor]: Taking taylor expansion of 0 in lambda2 0.978 * [backup-simplify]: Simplify 0 into 0 0.978 * [taylor]: Taking taylor expansion of 0 in R 0.978 * [backup-simplify]: Simplify 0 into 0 0.978 * [backup-simplify]: Simplify 0 into 0 0.978 * [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 0.979 * [taylor]: Taking taylor expansion of 0 in lambda1 0.979 * [backup-simplify]: Simplify 0 into 0 0.979 * [taylor]: Taking taylor expansion of 0 in lambda2 0.979 * [backup-simplify]: Simplify 0 into 0 0.979 * [taylor]: Taking taylor expansion of 0 in R 0.979 * [backup-simplify]: Simplify 0 into 0 0.979 * [backup-simplify]: Simplify 0 into 0 0.979 * [taylor]: Taking taylor expansion of 0 in lambda2 0.979 * [backup-simplify]: Simplify 0 into 0 0.979 * [taylor]: Taking taylor expansion of 0 in R 0.979 * [backup-simplify]: Simplify 0 into 0 0.979 * [backup-simplify]: Simplify 0 into 0 0.979 * [taylor]: Taking taylor expansion of 0 in lambda2 0.979 * [backup-simplify]: Simplify 0 into 0 0.979 * [taylor]: Taking taylor expansion of 0 in R 0.979 * [backup-simplify]: Simplify 0 into 0 0.979 * [backup-simplify]: Simplify 0 into 0 0.979 * [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 0.979 * [taylor]: Taking taylor expansion of 0 in lambda2 0.979 * [backup-simplify]: Simplify 0 into 0 0.979 * [taylor]: Taking taylor expansion of 0 in R 0.980 * [backup-simplify]: Simplify 0 into 0 0.980 * [backup-simplify]: Simplify 0 into 0 0.980 * [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) 0.981 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) (/ 1 R)) into (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) 0.981 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 0.981 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in R 0.981 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R 0.982 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 0.982 * [taylor]: Taking taylor expansion of R in R 0.982 * [backup-simplify]: Simplify 0 into 0 0.982 * [backup-simplify]: Simplify 1 into 1 0.982 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 1) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 0.982 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda2 0.982 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 0.983 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 0.983 * [taylor]: Taking taylor expansion of R in lambda2 0.983 * [backup-simplify]: Simplify R into R 0.983 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) 0.983 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda1 0.983 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 0.984 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 0.984 * [taylor]: Taking taylor expansion of R in lambda1 0.984 * [backup-simplify]: Simplify R into R 0.984 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) 0.984 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi2 0.984 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 0.985 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 0.985 * [taylor]: Taking taylor expansion of R in phi2 0.985 * [backup-simplify]: Simplify R into R 0.985 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) 0.985 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi1 0.985 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 0.986 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 0.986 * [taylor]: Taking taylor expansion of R in phi1 0.986 * [backup-simplify]: Simplify R into R 0.986 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) 0.986 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi1 0.987 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 0.987 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 0.987 * [taylor]: Taking taylor expansion of R in phi1 0.987 * [backup-simplify]: Simplify R into R 0.988 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) 0.988 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi2 0.988 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 0.988 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 0.988 * [taylor]: Taking taylor expansion of R in phi2 0.988 * [backup-simplify]: Simplify R into R 0.989 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) 0.989 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda1 0.989 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 0.989 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 0.989 * [taylor]: Taking taylor expansion of R in lambda1 0.989 * [backup-simplify]: Simplify R into R 0.990 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) 0.990 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda2 0.990 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 0.990 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 0.991 * [taylor]: Taking taylor expansion of R in lambda2 0.991 * [backup-simplify]: Simplify R into R 0.991 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) 0.991 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in R 0.991 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R 0.992 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 0.992 * [taylor]: Taking taylor expansion of R in R 0.992 * [backup-simplify]: Simplify 0 into 0 0.992 * [backup-simplify]: Simplify 1 into 1 0.992 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 1) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 0.993 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 0.993 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0 0.993 * [taylor]: Taking taylor expansion of 0 in phi2 0.993 * [backup-simplify]: Simplify 0 into 0 0.993 * [taylor]: Taking taylor expansion of 0 in lambda1 0.993 * [backup-simplify]: Simplify 0 into 0 0.993 * [taylor]: Taking taylor expansion of 0 in lambda2 0.994 * [backup-simplify]: Simplify 0 into 0 0.994 * [taylor]: Taking taylor expansion of 0 in R 0.994 * [backup-simplify]: Simplify 0 into 0 0.994 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0 0.994 * [taylor]: Taking taylor expansion of 0 in lambda1 0.994 * [backup-simplify]: Simplify 0 into 0 0.994 * [taylor]: Taking taylor expansion of 0 in lambda2 0.994 * [backup-simplify]: Simplify 0 into 0 0.994 * [taylor]: Taking taylor expansion of 0 in R 0.994 * [backup-simplify]: Simplify 0 into 0 0.995 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0 0.995 * [taylor]: Taking taylor expansion of 0 in lambda2 0.995 * [backup-simplify]: Simplify 0 into 0 0.995 * [taylor]: Taking taylor expansion of 0 in R 0.995 * [backup-simplify]: Simplify 0 into 0 0.996 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0 0.996 * [taylor]: Taking taylor expansion of 0 in R 0.996 * [backup-simplify]: Simplify 0 into 0 0.997 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) (/ 0 1)))) into 0 0.997 * [backup-simplify]: Simplify 0 into 0 0.997 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 0.997 * [taylor]: Taking taylor expansion of 0 in phi2 0.998 * [backup-simplify]: Simplify 0 into 0 0.998 * [taylor]: Taking taylor expansion of 0 in lambda1 0.998 * [backup-simplify]: Simplify 0 into 0 0.998 * [taylor]: Taking taylor expansion of 0 in lambda2 0.998 * [backup-simplify]: Simplify 0 into 0 0.998 * [taylor]: Taking taylor expansion of 0 in R 0.998 * [backup-simplify]: Simplify 0 into 0 0.998 * [taylor]: Taking taylor expansion of 0 in lambda1 0.998 * [backup-simplify]: Simplify 0 into 0 0.998 * [taylor]: Taking taylor expansion of 0 in lambda2 0.998 * [backup-simplify]: Simplify 0 into 0 0.998 * [taylor]: Taking taylor expansion of 0 in R 0.998 * [backup-simplify]: Simplify 0 into 0 0.998 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 0.998 * [taylor]: Taking taylor expansion of 0 in lambda1 0.998 * [backup-simplify]: Simplify 0 into 0 0.998 * [taylor]: Taking taylor expansion of 0 in lambda2 0.998 * [backup-simplify]: Simplify 0 into 0 0.998 * [taylor]: Taking taylor expansion of 0 in R 0.998 * [backup-simplify]: Simplify 0 into 0 0.998 * [taylor]: Taking taylor expansion of 0 in lambda2 0.998 * [backup-simplify]: Simplify 0 into 0 0.998 * [taylor]: Taking taylor expansion of 0 in R 0.998 * [backup-simplify]: Simplify 0 into 0 0.999 * [taylor]: Taking taylor expansion of 0 in lambda2 0.999 * [backup-simplify]: Simplify 0 into 0 0.999 * [taylor]: Taking taylor expansion of 0 in R 0.999 * [backup-simplify]: Simplify 0 into 0 0.999 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 0.999 * [taylor]: Taking taylor expansion of 0 in lambda2 0.999 * [backup-simplify]: Simplify 0 into 0 0.999 * [taylor]: Taking taylor expansion of 0 in R 0.999 * [backup-simplify]: Simplify 0 into 0 0.999 * [taylor]: Taking taylor expansion of 0 in R 0.999 * [backup-simplify]: Simplify 0 into 0 0.999 * [taylor]: Taking taylor expansion of 0 in R 0.999 * [backup-simplify]: Simplify 0 into 0 0.999 * [taylor]: Taking taylor expansion of 0 in R 0.999 * [backup-simplify]: Simplify 0 into 0 1.000 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 1.000 * [taylor]: Taking taylor expansion of 0 in R 1.000 * [backup-simplify]: Simplify 0 into 0 1.000 * [backup-simplify]: Simplify 0 into 0 1.000 * [backup-simplify]: Simplify 0 into 0 1.000 * [backup-simplify]: Simplify 0 into 0 1.000 * [backup-simplify]: Simplify 0 into 0 1.001 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.002 * [backup-simplify]: Simplify 0 into 0 1.002 * [backup-simplify]: Simplify (* (acos (+ (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 phi1))) (cos (/ 1 (/ 1 lambda1)))))) (+ (* (sin (/ 1 (/ 1 phi1))) (sin (/ 1 (/ 1 phi2)))) (* (sin (/ 1 (/ 1 lambda1))) (* (sin (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi2))) (cos (/ 1 (/ 1 phi1))))))))) (* (/ 1 (/ 1 R)) (* 1 (* 1 (* 1 1))))) into (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) 1.003 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) (/ 1 (- R))) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) 1.003 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 1.003 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R 1.003 * [taylor]: Taking taylor expansion of -1 in R 1.003 * [backup-simplify]: Simplify -1 into -1 1.003 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R 1.003 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R 1.004 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1.004 * [taylor]: Taking taylor expansion of R in R 1.004 * [backup-simplify]: Simplify 0 into 0 1.004 * [backup-simplify]: Simplify 1 into 1 1.004 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1.004 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2 1.004 * [taylor]: Taking taylor expansion of -1 in lambda2 1.004 * [backup-simplify]: Simplify -1 into -1 1.004 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2 1.004 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 1.005 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1.005 * [taylor]: Taking taylor expansion of R in lambda2 1.005 * [backup-simplify]: Simplify R into R 1.005 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) 1.005 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda1 1.005 * [taylor]: Taking taylor expansion of -1 in lambda1 1.005 * [backup-simplify]: Simplify -1 into -1 1.006 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1 1.006 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 1.006 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1.006 * [taylor]: Taking taylor expansion of R in lambda1 1.006 * [backup-simplify]: Simplify R into R 1.007 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) 1.007 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2 1.007 * [taylor]: Taking taylor expansion of -1 in phi2 1.007 * [backup-simplify]: Simplify -1 into -1 1.007 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2 1.007 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 1.007 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1.007 * [taylor]: Taking taylor expansion of R in phi2 1.007 * [backup-simplify]: Simplify R into R 1.008 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) 1.008 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi1 1.008 * [taylor]: Taking taylor expansion of -1 in phi1 1.008 * [backup-simplify]: Simplify -1 into -1 1.008 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1 1.008 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 1.008 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1.008 * [taylor]: Taking taylor expansion of R in phi1 1.008 * [backup-simplify]: Simplify R into R 1.009 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) 1.009 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi1 1.009 * [taylor]: Taking taylor expansion of -1 in phi1 1.009 * [backup-simplify]: Simplify -1 into -1 1.009 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1 1.009 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 1.009 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1.009 * [taylor]: Taking taylor expansion of R in phi1 1.009 * [backup-simplify]: Simplify R into R 1.010 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) 1.010 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) 1.011 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2 1.011 * [taylor]: Taking taylor expansion of -1 in phi2 1.011 * [backup-simplify]: Simplify -1 into -1 1.011 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2 1.011 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 1.011 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1.011 * [taylor]: Taking taylor expansion of R in phi2 1.011 * [backup-simplify]: Simplify R into R 1.012 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) 1.012 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) 1.012 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda1 1.012 * [taylor]: Taking taylor expansion of -1 in lambda1 1.012 * [backup-simplify]: Simplify -1 into -1 1.012 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1 1.012 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 1.013 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1.013 * [taylor]: Taking taylor expansion of R in lambda1 1.013 * [backup-simplify]: Simplify R into R 1.013 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) 1.014 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) 1.014 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2 1.014 * [taylor]: Taking taylor expansion of -1 in lambda2 1.014 * [backup-simplify]: Simplify -1 into -1 1.014 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2 1.014 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 1.014 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1.014 * [taylor]: Taking taylor expansion of R in lambda2 1.014 * [backup-simplify]: Simplify R into R 1.015 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) 1.015 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) 1.015 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R 1.016 * [taylor]: Taking taylor expansion of -1 in R 1.016 * [backup-simplify]: Simplify -1 into -1 1.016 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R 1.016 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R 1.016 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1.016 * [taylor]: Taking taylor expansion of R in R 1.016 * [backup-simplify]: Simplify 0 into 0 1.016 * [backup-simplify]: Simplify 1 into 1 1.017 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1.017 * [backup-simplify]: Simplify (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) into (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) 1.018 * [backup-simplify]: Simplify (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) into (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) 1.018 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) (/ 0 R)))) into 0 1.019 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R))) into 0 1.019 * [taylor]: Taking taylor expansion of 0 in phi2 1.019 * [backup-simplify]: Simplify 0 into 0 1.019 * [taylor]: Taking taylor expansion of 0 in lambda1 1.019 * [backup-simplify]: Simplify 0 into 0 1.020 * [taylor]: Taking taylor expansion of 0 in lambda2 1.020 * [backup-simplify]: Simplify 0 into 0 1.020 * [taylor]: Taking taylor expansion of 0 in R 1.020 * [backup-simplify]: Simplify 0 into 0 1.020 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) (/ 0 R)))) into 0 1.021 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R))) into 0 1.021 * [taylor]: Taking taylor expansion of 0 in lambda1 1.021 * [backup-simplify]: Simplify 0 into 0 1.021 * [taylor]: Taking taylor expansion of 0 in lambda2 1.021 * [backup-simplify]: Simplify 0 into 0 1.021 * [taylor]: Taking taylor expansion of 0 in R 1.021 * [backup-simplify]: Simplify 0 into 0 1.022 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) (/ 0 R)))) into 0 1.023 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R))) into 0 1.023 * [taylor]: Taking taylor expansion of 0 in lambda2 1.023 * [backup-simplify]: Simplify 0 into 0 1.023 * [taylor]: Taking taylor expansion of 0 in R 1.023 * [backup-simplify]: Simplify 0 into 0 1.023 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) (/ 0 R)))) into 0 1.024 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R))) into 0 1.024 * [taylor]: Taking taylor expansion of 0 in R 1.024 * [backup-simplify]: Simplify 0 into 0 1.025 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) (/ 0 1)))) into 0 1.026 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))))) into 0 1.026 * [backup-simplify]: Simplify 0 into 0 1.027 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 1.028 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)))) into 0 1.028 * [taylor]: Taking taylor expansion of 0 in phi2 1.028 * [backup-simplify]: Simplify 0 into 0 1.028 * [taylor]: Taking taylor expansion of 0 in lambda1 1.028 * [backup-simplify]: Simplify 0 into 0 1.028 * [taylor]: Taking taylor expansion of 0 in lambda2 1.028 * [backup-simplify]: Simplify 0 into 0 1.028 * [taylor]: Taking taylor expansion of 0 in R 1.028 * [backup-simplify]: Simplify 0 into 0 1.028 * [taylor]: Taking taylor expansion of 0 in lambda1 1.028 * [backup-simplify]: Simplify 0 into 0 1.028 * [taylor]: Taking taylor expansion of 0 in lambda2 1.028 * [backup-simplify]: Simplify 0 into 0 1.028 * [taylor]: Taking taylor expansion of 0 in R 1.028 * [backup-simplify]: Simplify 0 into 0 1.029 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 1.030 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)))) into 0 1.030 * [taylor]: Taking taylor expansion of 0 in lambda1 1.030 * [backup-simplify]: Simplify 0 into 0 1.030 * [taylor]: Taking taylor expansion of 0 in lambda2 1.030 * [backup-simplify]: Simplify 0 into 0 1.030 * [taylor]: Taking taylor expansion of 0 in R 1.030 * [backup-simplify]: Simplify 0 into 0 1.030 * [taylor]: Taking taylor expansion of 0 in lambda2 1.030 * [backup-simplify]: Simplify 0 into 0 1.030 * [taylor]: Taking taylor expansion of 0 in R 1.030 * [backup-simplify]: Simplify 0 into 0 1.030 * [taylor]: Taking taylor expansion of 0 in lambda2 1.030 * [backup-simplify]: Simplify 0 into 0 1.030 * [taylor]: Taking taylor expansion of 0 in R 1.030 * [backup-simplify]: Simplify 0 into 0 1.031 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 1.032 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)))) into 0 1.032 * [taylor]: Taking taylor expansion of 0 in lambda2 1.032 * [backup-simplify]: Simplify 0 into 0 1.032 * [taylor]: Taking taylor expansion of 0 in R 1.032 * [backup-simplify]: Simplify 0 into 0 1.032 * [taylor]: Taking taylor expansion of 0 in R 1.032 * [backup-simplify]: Simplify 0 into 0 1.032 * [taylor]: Taking taylor expansion of 0 in R 1.032 * [backup-simplify]: Simplify 0 into 0 1.032 * [taylor]: Taking taylor expansion of 0 in R 1.032 * [backup-simplify]: Simplify 0 into 0 1.033 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 1.036 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)))) into 0 1.036 * [taylor]: Taking taylor expansion of 0 in R 1.036 * [backup-simplify]: Simplify 0 into 0 1.036 * [backup-simplify]: Simplify 0 into 0 1.036 * [backup-simplify]: Simplify 0 into 0 1.036 * [backup-simplify]: Simplify 0 into 0 1.036 * [backup-simplify]: Simplify 0 into 0 1.037 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.038 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))))) into 0 1.038 * [backup-simplify]: Simplify 0 into 0 1.039 * [backup-simplify]: Simplify (* (* -1 (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2))))))) (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))))))) (* (/ 1 (/ 1 (- R))) (* 1 (* 1 (* 1 1))))) into (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R) 1.039 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 1.040 * [backup-simplify]: Simplify (* (sin phi1) (sin phi2)) into (* (sin phi1) (sin phi2)) 1.040 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 1.040 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 1.040 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 1.040 * [taylor]: Taking taylor expansion of phi1 in phi2 1.040 * [backup-simplify]: Simplify phi1 into phi1 1.040 * [backup-simplify]: Simplify (sin phi1) into (sin phi1) 1.040 * [backup-simplify]: Simplify (cos phi1) into (cos phi1) 1.040 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.040 * [taylor]: Taking taylor expansion of phi2 in phi2 1.040 * [backup-simplify]: Simplify 0 into 0 1.040 * [backup-simplify]: Simplify 1 into 1 1.040 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 1.040 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 1.040 * [taylor]: Taking taylor expansion of phi1 in phi1 1.040 * [backup-simplify]: Simplify 0 into 0 1.040 * [backup-simplify]: Simplify 1 into 1 1.040 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 1.040 * [taylor]: Taking taylor expansion of phi2 in phi1 1.040 * [backup-simplify]: Simplify phi2 into phi2 1.040 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 1.040 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 1.040 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 1.040 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 1.040 * [taylor]: Taking taylor expansion of phi1 in phi1 1.040 * [backup-simplify]: Simplify 0 into 0 1.040 * [backup-simplify]: Simplify 1 into 1 1.040 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 1.040 * [taylor]: Taking taylor expansion of phi2 in phi1 1.040 * [backup-simplify]: Simplify phi2 into phi2 1.040 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 1.040 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 1.040 * [backup-simplify]: Simplify (* (sin phi2) 1) into (sin phi2) 1.040 * [backup-simplify]: Simplify (* (cos phi2) 0) into 0 1.040 * [backup-simplify]: Simplify (+ (sin phi2) 0) into (sin phi2) 1.040 * [backup-simplify]: Simplify (* 0 (sin phi2)) into 0 1.040 * [taylor]: Taking taylor expansion of 0 in phi2 1.040 * [backup-simplify]: Simplify 0 into 0 1.040 * [backup-simplify]: Simplify 0 into 0 1.041 * [backup-simplify]: Simplify (+ 0) into 0 1.041 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (* 0 1)) into 0 1.042 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.042 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (* 0 0)) into 0 1.042 * [backup-simplify]: Simplify (+ 0 0) into 0 1.043 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.043 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin phi2))) into (sin phi2) 1.043 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.043 * [taylor]: Taking taylor expansion of phi2 in phi2 1.043 * [backup-simplify]: Simplify 0 into 0 1.043 * [backup-simplify]: Simplify 1 into 1 1.043 * [backup-simplify]: Simplify 0 into 0 1.043 * [backup-simplify]: Simplify 0 into 0 1.043 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.044 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (* 0 1))) into 0 1.044 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.045 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* 0 0))) into 0 1.045 * [backup-simplify]: Simplify (+ 0 0) into 0 1.045 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.046 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin phi2)))) into 0 1.046 * [taylor]: Taking taylor expansion of 0 in phi2 1.046 * [backup-simplify]: Simplify 0 into 0 1.046 * [backup-simplify]: Simplify 0 into 0 1.046 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.046 * [backup-simplify]: Simplify 1 into 1 1.046 * [backup-simplify]: Simplify 0 into 0 1.047 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.047 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.048 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.049 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.049 * [backup-simplify]: Simplify (+ 0 0) into 0 1.050 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 1.050 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin phi2))))) into (- (* 1/6 (sin phi2))) 1.050 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 1.050 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 1.050 * [taylor]: Taking taylor expansion of 1/6 in phi2 1.050 * [backup-simplify]: Simplify 1/6 into 1/6 1.050 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.050 * [taylor]: Taking taylor expansion of phi2 in phi2 1.050 * [backup-simplify]: Simplify 0 into 0 1.051 * [backup-simplify]: Simplify 1 into 1 1.051 * [backup-simplify]: Simplify (* 1/6 0) into 0 1.051 * [backup-simplify]: Simplify (- 0) into 0 1.051 * [backup-simplify]: Simplify 0 into 0 1.051 * [backup-simplify]: Simplify 0 into 0 1.051 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.052 * [backup-simplify]: Simplify 0 into 0 1.052 * [backup-simplify]: Simplify 0 into 0 1.053 * [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 1.053 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.054 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.054 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 1.055 * [backup-simplify]: Simplify (+ 0 0) into 0 1.055 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.056 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin phi2)))))) into 0 1.056 * [taylor]: Taking taylor expansion of 0 in phi2 1.056 * [backup-simplify]: Simplify 0 into 0 1.056 * [backup-simplify]: Simplify 0 into 0 1.056 * [backup-simplify]: Simplify (* 1 (* phi2 phi1)) into (* phi2 phi1) 1.057 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 1.057 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 1.057 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 1.057 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 1.057 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.057 * [taylor]: Taking taylor expansion of phi1 in phi2 1.057 * [backup-simplify]: Simplify phi1 into phi1 1.057 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.057 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 1.057 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 1.057 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 1.057 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.057 * [taylor]: Taking taylor expansion of phi2 in phi2 1.057 * [backup-simplify]: Simplify 0 into 0 1.057 * [backup-simplify]: Simplify 1 into 1 1.057 * [backup-simplify]: Simplify (/ 1 1) into 1 1.057 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 1.057 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 1.057 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 1.057 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.057 * [taylor]: Taking taylor expansion of phi1 in phi1 1.057 * [backup-simplify]: Simplify 0 into 0 1.057 * [backup-simplify]: Simplify 1 into 1 1.058 * [backup-simplify]: Simplify (/ 1 1) into 1 1.058 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 1.058 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 1.058 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.058 * [taylor]: Taking taylor expansion of phi2 in phi1 1.058 * [backup-simplify]: Simplify phi2 into phi2 1.058 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.058 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 1.058 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 1.058 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 1.058 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 1.058 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.058 * [taylor]: Taking taylor expansion of phi1 in phi1 1.058 * [backup-simplify]: Simplify 0 into 0 1.058 * [backup-simplify]: Simplify 1 into 1 1.058 * [backup-simplify]: Simplify (/ 1 1) into 1 1.058 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 1.058 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 1.058 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.058 * [taylor]: Taking taylor expansion of phi2 in phi1 1.058 * [backup-simplify]: Simplify phi2 into phi2 1.058 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.058 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 1.058 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 1.058 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 1) into (sin (/ 1 phi2)) 1.059 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 0) into 0 1.059 * [backup-simplify]: Simplify (+ (sin (/ 1 phi2)) 0) into (sin (/ 1 phi2)) 1.059 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 1.059 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 1.059 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 1.059 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.059 * [taylor]: Taking taylor expansion of phi1 in phi2 1.059 * [backup-simplify]: Simplify phi1 into phi1 1.059 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.059 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 1.059 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 1.059 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 1.059 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.059 * [taylor]: Taking taylor expansion of phi2 in phi2 1.059 * [backup-simplify]: Simplify 0 into 0 1.059 * [backup-simplify]: Simplify 1 into 1 1.059 * [backup-simplify]: Simplify (/ 1 1) into 1 1.059 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 1.059 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 1) into (sin (/ 1 phi1)) 1.059 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 0) into 0 1.059 * [backup-simplify]: Simplify (+ (sin (/ 1 phi1)) 0) into (sin (/ 1 phi1)) 1.059 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 1.060 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 1.060 * [backup-simplify]: Simplify (+ 0) into 0 1.060 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 1)) into 0 1.060 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1.061 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.061 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 0)) into 0 1.061 * [backup-simplify]: Simplify (+ 0 0) into 0 1.061 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 (sin (/ 1 phi2)))) into 0 1.061 * [taylor]: Taking taylor expansion of 0 in phi2 1.061 * [backup-simplify]: Simplify 0 into 0 1.061 * [backup-simplify]: Simplify 0 into 0 1.062 * [backup-simplify]: Simplify (+ 0) into 0 1.062 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 1)) into 0 1.062 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1.062 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.063 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 0)) into 0 1.063 * [backup-simplify]: Simplify (+ 0 0) into 0 1.063 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 (sin (/ 1 phi2)))) into 0 1.063 * [backup-simplify]: Simplify 0 into 0 1.063 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.064 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 1.064 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.064 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.065 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 1.065 * [backup-simplify]: Simplify (+ 0 0) into 0 1.065 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi2))))) into 0 1.065 * [taylor]: Taking taylor expansion of 0 in phi2 1.065 * [backup-simplify]: Simplify 0 into 0 1.065 * [backup-simplify]: Simplify 0 into 0 1.065 * [backup-simplify]: Simplify 0 into 0 1.066 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.066 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 1.066 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1.067 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.067 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 1.067 * [backup-simplify]: Simplify (+ 0 0) into 0 1.068 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi2))))) into 0 1.068 * [backup-simplify]: Simplify 0 into 0 1.068 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.069 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.069 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.070 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.070 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.070 * [backup-simplify]: Simplify (+ 0 0) into 0 1.071 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 phi2)))))) into 0 1.071 * [taylor]: Taking taylor expansion of 0 in phi2 1.071 * [backup-simplify]: Simplify 0 into 0 1.071 * [backup-simplify]: Simplify 0 into 0 1.071 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 phi1))) (sin (/ 1 (/ 1 phi2)))) into (* (sin phi1) (sin phi2)) 1.071 * [backup-simplify]: Simplify (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 1.071 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 1.071 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.071 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 1.071 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.071 * [taylor]: Taking taylor expansion of -1 in phi2 1.071 * [backup-simplify]: Simplify -1 into -1 1.071 * [taylor]: Taking taylor expansion of phi1 in phi2 1.071 * [backup-simplify]: Simplify phi1 into phi1 1.071 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 1.071 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 1.071 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 1.071 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 1.071 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.071 * [taylor]: Taking taylor expansion of -1 in phi2 1.071 * [backup-simplify]: Simplify -1 into -1 1.071 * [taylor]: Taking taylor expansion of phi2 in phi2 1.071 * [backup-simplify]: Simplify 0 into 0 1.071 * [backup-simplify]: Simplify 1 into 1 1.072 * [backup-simplify]: Simplify (/ -1 1) into -1 1.072 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 1.072 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 1.072 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 1.072 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.072 * [taylor]: Taking taylor expansion of -1 in phi1 1.072 * [backup-simplify]: Simplify -1 into -1 1.072 * [taylor]: Taking taylor expansion of phi1 in phi1 1.072 * [backup-simplify]: Simplify 0 into 0 1.072 * [backup-simplify]: Simplify 1 into 1 1.072 * [backup-simplify]: Simplify (/ -1 1) into -1 1.072 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 1.072 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 1.072 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.072 * [taylor]: Taking taylor expansion of -1 in phi1 1.072 * [backup-simplify]: Simplify -1 into -1 1.072 * [taylor]: Taking taylor expansion of phi2 in phi1 1.072 * [backup-simplify]: Simplify phi2 into phi2 1.072 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 1.072 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 1.072 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 1.072 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 1.072 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 1.072 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.072 * [taylor]: Taking taylor expansion of -1 in phi1 1.072 * [backup-simplify]: Simplify -1 into -1 1.072 * [taylor]: Taking taylor expansion of phi1 in phi1 1.072 * [backup-simplify]: Simplify 0 into 0 1.072 * [backup-simplify]: Simplify 1 into 1 1.073 * [backup-simplify]: Simplify (/ -1 1) into -1 1.073 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 1.073 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 1.073 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.073 * [taylor]: Taking taylor expansion of -1 in phi1 1.073 * [backup-simplify]: Simplify -1 into -1 1.073 * [taylor]: Taking taylor expansion of phi2 in phi1 1.073 * [backup-simplify]: Simplify phi2 into phi2 1.073 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 1.073 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 1.073 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 1.073 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 1) into (sin (/ -1 phi2)) 1.073 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 0) into 0 1.073 * [backup-simplify]: Simplify (+ (sin (/ -1 phi2)) 0) into (sin (/ -1 phi2)) 1.073 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 1.073 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.073 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 1.073 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.073 * [taylor]: Taking taylor expansion of -1 in phi2 1.073 * [backup-simplify]: Simplify -1 into -1 1.073 * [taylor]: Taking taylor expansion of phi1 in phi2 1.073 * [backup-simplify]: Simplify phi1 into phi1 1.073 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 1.073 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 1.074 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 1.074 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 1.074 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.074 * [taylor]: Taking taylor expansion of -1 in phi2 1.074 * [backup-simplify]: Simplify -1 into -1 1.074 * [taylor]: Taking taylor expansion of phi2 in phi2 1.074 * [backup-simplify]: Simplify 0 into 0 1.074 * [backup-simplify]: Simplify 1 into 1 1.074 * [backup-simplify]: Simplify (/ -1 1) into -1 1.074 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 1.074 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 1) into (sin (/ -1 phi1)) 1.074 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 0) into 0 1.074 * [backup-simplify]: Simplify (+ (sin (/ -1 phi1)) 0) into (sin (/ -1 phi1)) 1.074 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 1.074 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 1.075 * [backup-simplify]: Simplify (+ 0) into 0 1.075 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 1)) into 0 1.075 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0 1.075 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.076 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 0)) into 0 1.076 * [backup-simplify]: Simplify (+ 0 0) into 0 1.076 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 1.076 * [taylor]: Taking taylor expansion of 0 in phi2 1.076 * [backup-simplify]: Simplify 0 into 0 1.076 * [backup-simplify]: Simplify 0 into 0 1.076 * [backup-simplify]: Simplify (+ 0) into 0 1.077 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 1)) into 0 1.077 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0 1.077 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.077 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 0)) into 0 1.078 * [backup-simplify]: Simplify (+ 0 0) into 0 1.078 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 1.078 * [backup-simplify]: Simplify 0 into 0 1.078 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.079 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 1.079 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.079 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.079 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 1.080 * [backup-simplify]: Simplify (+ 0 0) into 0 1.080 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 1.080 * [taylor]: Taking taylor expansion of 0 in phi2 1.080 * [backup-simplify]: Simplify 0 into 0 1.080 * [backup-simplify]: Simplify 0 into 0 1.080 * [backup-simplify]: Simplify 0 into 0 1.081 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.081 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 1.081 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1.082 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.082 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 1.082 * [backup-simplify]: Simplify (+ 0 0) into 0 1.082 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 1.082 * [backup-simplify]: Simplify 0 into 0 1.083 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.083 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.084 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.084 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.085 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.085 * [backup-simplify]: Simplify (+ 0 0) into 0 1.085 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2)))))) into 0 1.085 * [taylor]: Taking taylor expansion of 0 in phi2 1.086 * [backup-simplify]: Simplify 0 into 0 1.086 * [backup-simplify]: Simplify 0 into 0 1.086 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) into (* (sin phi1) (sin phi2)) 1.086 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 2 2) 1.086 * [backup-simplify]: Simplify (* (sin lambda1) (sin lambda2)) into (* (sin lambda1) (sin lambda2)) 1.086 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0 1.086 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 1.086 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 1.086 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.086 * [backup-simplify]: Simplify lambda1 into lambda1 1.086 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 1.086 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 1.086 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.086 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.086 * [backup-simplify]: Simplify 0 into 0 1.086 * [backup-simplify]: Simplify 1 into 1 1.086 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 1.086 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.086 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.086 * [backup-simplify]: Simplify 0 into 0 1.086 * [backup-simplify]: Simplify 1 into 1 1.086 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 1.086 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.086 * [backup-simplify]: Simplify lambda2 into lambda2 1.086 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 1.086 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 1.086 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 1.086 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.086 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.086 * [backup-simplify]: Simplify 0 into 0 1.086 * [backup-simplify]: Simplify 1 into 1 1.086 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 1.086 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.086 * [backup-simplify]: Simplify lambda2 into lambda2 1.086 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 1.086 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 1.086 * [backup-simplify]: Simplify (* (sin lambda2) 1) into (sin lambda2) 1.086 * [backup-simplify]: Simplify (* (cos lambda2) 0) into 0 1.087 * [backup-simplify]: Simplify (+ (sin lambda2) 0) into (sin lambda2) 1.087 * [backup-simplify]: Simplify (* 0 (sin lambda2)) into 0 1.087 * [taylor]: Taking taylor expansion of 0 in lambda2 1.087 * [backup-simplify]: Simplify 0 into 0 1.087 * [backup-simplify]: Simplify 0 into 0 1.087 * [backup-simplify]: Simplify (+ 0) into 0 1.087 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (* 0 1)) into 0 1.088 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.088 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (* 0 0)) into 0 1.088 * [backup-simplify]: Simplify (+ 0 0) into 0 1.088 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.089 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin lambda2))) into (sin lambda2) 1.089 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.089 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.089 * [backup-simplify]: Simplify 0 into 0 1.089 * [backup-simplify]: Simplify 1 into 1 1.089 * [backup-simplify]: Simplify 0 into 0 1.089 * [backup-simplify]: Simplify 0 into 0 1.089 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.090 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (* 0 1))) into 0 1.090 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.091 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (* 0 0))) into 0 1.091 * [backup-simplify]: Simplify (+ 0 0) into 0 1.091 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.092 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin lambda2)))) into 0 1.092 * [taylor]: Taking taylor expansion of 0 in lambda2 1.092 * [backup-simplify]: Simplify 0 into 0 1.092 * [backup-simplify]: Simplify 0 into 0 1.092 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.092 * [backup-simplify]: Simplify 1 into 1 1.092 * [backup-simplify]: Simplify 0 into 0 1.093 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.093 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.094 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.095 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.095 * [backup-simplify]: Simplify (+ 0 0) into 0 1.096 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 1.097 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin lambda2))))) into (- (* 1/6 (sin lambda2))) 1.097 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin lambda2))) in lambda2 1.097 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2 1.097 * [taylor]: Taking taylor expansion of 1/6 in lambda2 1.097 * [backup-simplify]: Simplify 1/6 into 1/6 1.097 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.097 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.097 * [backup-simplify]: Simplify 0 into 0 1.097 * [backup-simplify]: Simplify 1 into 1 1.097 * [backup-simplify]: Simplify (* 1/6 0) into 0 1.097 * [backup-simplify]: Simplify (- 0) into 0 1.097 * [backup-simplify]: Simplify 0 into 0 1.097 * [backup-simplify]: Simplify 0 into 0 1.098 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.098 * [backup-simplify]: Simplify 0 into 0 1.098 * [backup-simplify]: Simplify 0 into 0 1.099 * [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 1.100 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.100 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.101 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 1.101 * [backup-simplify]: Simplify (+ 0 0) into 0 1.102 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.103 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin lambda2)))))) into 0 1.103 * [taylor]: Taking taylor expansion of 0 in lambda2 1.103 * [backup-simplify]: Simplify 0 into 0 1.103 * [backup-simplify]: Simplify 0 into 0 1.103 * [backup-simplify]: Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1) 1.103 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) into (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) 1.103 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in (lambda1 lambda2) around 0 1.103 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.103 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.103 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.103 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.103 * [backup-simplify]: Simplify lambda1 into lambda1 1.103 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.103 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 1.103 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 1.103 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.103 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.103 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.103 * [backup-simplify]: Simplify 0 into 0 1.103 * [backup-simplify]: Simplify 1 into 1 1.104 * [backup-simplify]: Simplify (/ 1 1) into 1 1.104 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 1.104 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.104 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.104 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.104 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.104 * [backup-simplify]: Simplify 0 into 0 1.104 * [backup-simplify]: Simplify 1 into 1 1.104 * [backup-simplify]: Simplify (/ 1 1) into 1 1.104 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 1.104 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.104 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.104 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.104 * [backup-simplify]: Simplify lambda2 into lambda2 1.104 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.104 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 1.104 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 1.104 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.104 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.104 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.104 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.104 * [backup-simplify]: Simplify 0 into 0 1.104 * [backup-simplify]: Simplify 1 into 1 1.105 * [backup-simplify]: Simplify (/ 1 1) into 1 1.105 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 1.105 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.105 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.105 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.105 * [backup-simplify]: Simplify lambda2 into lambda2 1.105 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.105 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 1.105 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 1.105 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) 1) into (sin (/ 1 lambda2)) 1.105 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) 0) into 0 1.105 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda2)) 0) into (sin (/ 1 lambda2)) 1.105 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) into (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) 1.105 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.105 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.105 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.105 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.105 * [backup-simplify]: Simplify lambda1 into lambda1 1.105 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.105 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 1.105 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 1.105 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.105 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.105 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.105 * [backup-simplify]: Simplify 0 into 0 1.105 * [backup-simplify]: Simplify 1 into 1 1.106 * [backup-simplify]: Simplify (/ 1 1) into 1 1.106 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 1.106 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) 1) into (sin (/ 1 lambda1)) 1.106 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) 0) into 0 1.106 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda1)) 0) into (sin (/ 1 lambda1)) 1.106 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) into (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) 1.106 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) into (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) 1.106 * [backup-simplify]: Simplify (+ 0) into 0 1.107 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 1)) into 0 1.107 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 1.107 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.107 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 0)) into 0 1.108 * [backup-simplify]: Simplify (+ 0 0) into 0 1.108 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 (sin (/ 1 lambda2)))) into 0 1.108 * [taylor]: Taking taylor expansion of 0 in lambda2 1.108 * [backup-simplify]: Simplify 0 into 0 1.108 * [backup-simplify]: Simplify 0 into 0 1.108 * [backup-simplify]: Simplify (+ 0) into 0 1.108 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 1)) into 0 1.108 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0 1.109 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.109 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 0)) into 0 1.109 * [backup-simplify]: Simplify (+ 0 0) into 0 1.109 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 (sin (/ 1 lambda2)))) into 0 1.109 * [backup-simplify]: Simplify 0 into 0 1.110 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.110 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 1.111 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 1.111 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.111 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 1.112 * [backup-simplify]: Simplify (+ 0 0) into 0 1.112 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda2))))) into 0 1.112 * [taylor]: Taking taylor expansion of 0 in lambda2 1.112 * [backup-simplify]: Simplify 0 into 0 1.112 * [backup-simplify]: Simplify 0 into 0 1.112 * [backup-simplify]: Simplify 0 into 0 1.113 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.113 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 1.113 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 1.113 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.114 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 1.114 * [backup-simplify]: Simplify (+ 0 0) into 0 1.114 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda2))))) into 0 1.114 * [backup-simplify]: Simplify 0 into 0 1.115 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.115 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.115 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 1.116 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.117 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.117 * [backup-simplify]: Simplify (+ 0 0) into 0 1.117 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda2)))))) into 0 1.117 * [taylor]: Taking taylor expansion of 0 in lambda2 1.117 * [backup-simplify]: Simplify 0 into 0 1.117 * [backup-simplify]: Simplify 0 into 0 1.118 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 lambda1))) (sin (/ 1 (/ 1 lambda2)))) into (* (sin lambda1) (sin lambda2)) 1.118 * [backup-simplify]: Simplify (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 1.118 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0 1.118 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 1.118 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.118 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.118 * [taylor]: Taking taylor expansion of -1 in lambda2 1.118 * [backup-simplify]: Simplify -1 into -1 1.118 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.118 * [backup-simplify]: Simplify lambda1 into lambda1 1.118 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 1.118 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 1.118 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 1.118 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 1.118 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.118 * [taylor]: Taking taylor expansion of -1 in lambda2 1.118 * [backup-simplify]: Simplify -1 into -1 1.118 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.118 * [backup-simplify]: Simplify 0 into 0 1.118 * [backup-simplify]: Simplify 1 into 1 1.118 * [backup-simplify]: Simplify (/ -1 1) into -1 1.118 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 1.118 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 1.118 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.118 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.118 * [taylor]: Taking taylor expansion of -1 in lambda1 1.118 * [backup-simplify]: Simplify -1 into -1 1.119 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.119 * [backup-simplify]: Simplify 0 into 0 1.119 * [backup-simplify]: Simplify 1 into 1 1.119 * [backup-simplify]: Simplify (/ -1 1) into -1 1.119 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 1.119 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 1.119 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.119 * [taylor]: Taking taylor expansion of -1 in lambda1 1.119 * [backup-simplify]: Simplify -1 into -1 1.119 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.119 * [backup-simplify]: Simplify lambda2 into lambda2 1.119 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 1.119 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 1.119 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 1.119 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 1.119 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.119 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.119 * [taylor]: Taking taylor expansion of -1 in lambda1 1.119 * [backup-simplify]: Simplify -1 into -1 1.119 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.119 * [backup-simplify]: Simplify 0 into 0 1.119 * [backup-simplify]: Simplify 1 into 1 1.119 * [backup-simplify]: Simplify (/ -1 1) into -1 1.119 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 1.119 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 1.120 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.120 * [taylor]: Taking taylor expansion of -1 in lambda1 1.120 * [backup-simplify]: Simplify -1 into -1 1.120 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.120 * [backup-simplify]: Simplify lambda2 into lambda2 1.120 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 1.120 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 1.120 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 1.120 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) 1) into (sin (/ -1 lambda2)) 1.120 * [backup-simplify]: Simplify (* (cos (/ -1 lambda2)) 0) into 0 1.120 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda2)) 0) into (sin (/ -1 lambda2)) 1.120 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 1.120 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 1.120 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.120 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.120 * [taylor]: Taking taylor expansion of -1 in lambda2 1.120 * [backup-simplify]: Simplify -1 into -1 1.120 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.120 * [backup-simplify]: Simplify lambda1 into lambda1 1.120 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 1.120 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 1.120 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 1.120 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 1.120 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.120 * [taylor]: Taking taylor expansion of -1 in lambda2 1.120 * [backup-simplify]: Simplify -1 into -1 1.120 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.120 * [backup-simplify]: Simplify 0 into 0 1.120 * [backup-simplify]: Simplify 1 into 1 1.121 * [backup-simplify]: Simplify (/ -1 1) into -1 1.121 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 1.121 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) 1) into (sin (/ -1 lambda1)) 1.121 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) 0) into 0 1.121 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda1)) 0) into (sin (/ -1 lambda1)) 1.121 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 1.121 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 1.121 * [backup-simplify]: Simplify (+ 0) into 0 1.122 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 1)) into 0 1.122 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)))) into 0 1.122 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.122 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 0)) into 0 1.123 * [backup-simplify]: Simplify (+ 0 0) into 0 1.123 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 1.123 * [taylor]: Taking taylor expansion of 0 in lambda2 1.123 * [backup-simplify]: Simplify 0 into 0 1.123 * [backup-simplify]: Simplify 0 into 0 1.123 * [backup-simplify]: Simplify (+ 0) into 0 1.123 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 1)) into 0 1.123 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)))) into 0 1.124 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.124 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 0)) into 0 1.124 * [backup-simplify]: Simplify (+ 0 0) into 0 1.124 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 1.124 * [backup-simplify]: Simplify 0 into 0 1.125 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.125 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 1.125 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 1.126 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.126 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 1.126 * [backup-simplify]: Simplify (+ 0 0) into 0 1.127 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 1.127 * [taylor]: Taking taylor expansion of 0 in lambda2 1.127 * [backup-simplify]: Simplify 0 into 0 1.127 * [backup-simplify]: Simplify 0 into 0 1.127 * [backup-simplify]: Simplify 0 into 0 1.127 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.128 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 1.128 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 1.128 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.129 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 1.129 * [backup-simplify]: Simplify (+ 0 0) into 0 1.129 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 1.129 * [backup-simplify]: Simplify 0 into 0 1.134 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.135 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.135 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 1.136 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.136 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.136 * [backup-simplify]: Simplify (+ 0 0) into 0 1.137 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2)))))) into 0 1.137 * [taylor]: Taking taylor expansion of 0 in lambda2 1.137 * [backup-simplify]: Simplify 0 into 0 1.137 * [backup-simplify]: Simplify 0 into 0 1.137 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- lambda1)))) (sin (/ -1 (/ 1 (- lambda2))))) into (* (sin lambda1) (sin lambda2)) 1.137 * * * [progress]: simplifying candidates 1.138 * [simplify]: Simplifying: (expm1 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log1p (acos (+ (* (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)))))) (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))))))) (expm1 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (log1p (* (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) (+ (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) (expm1 (* (sin phi1) (sin phi2))) (log1p (* (sin phi1) (sin phi2))) (- (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)) (expm1 (* (sin lambda1) (sin lambda2))) (log1p (* (sin lambda1) (sin lambda2))) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (* (sin lambda1) (sin lambda2)) (+ (log (sin lambda1)) (log (sin lambda2))) (log (* (sin lambda1) (sin lambda2))) (exp (* (sin lambda1) (sin lambda2))) (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin lambda2) (sin lambda2)) (sin lambda2))) (* (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (sin lambda1) (sin lambda2)))) (cbrt (* (sin lambda1) (sin lambda2))) (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (* (sin lambda1) (sqrt (sin lambda2))) (* (sin lambda1) 1) (* (cbrt (sin lambda1)) (sin lambda2)) (* (sqrt (sin lambda1)) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (* lambda2 lambda1) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) 1.139 * [simplify]: Sending expressions to egg_math: (expm1 (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (* (sin h1) (sin h0))))))) (log1p (acos (+ (* (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)))))) (log (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (* (sin h1) (sin h0))))))) (exp (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (* (sin h1) (sin h0))))))) (* (cbrt (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (* (sin h1) (sin h0))))))) (cbrt (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (* (sin h1) (sin h0)))))))) (cbrt (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (* (sin h1) (sin h0))))))) (* (* (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (* (sin h1) (sin h0)))))) (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (* (sin h1) (sin h0))))))) (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (* (sin h1) (sin h0))))))) (sqrt (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (* (sin h1) (sin h0))))))) (sqrt (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (* (sin h1) (sin h0))))))) (expm1 (* (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (* (sin h1) (sin h0)))))) h5)) (log1p (* (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (* (sin h1) (sin h0)))))) h5)) (* (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (* (sin h1) (sin h0)))))) h5) (+ (log (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (* (sin h1) (sin h0))))))) (log h5)) (log (* (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (* (sin h1) (sin h0)))))) h5)) (exp (* (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (* (sin h1) (sin h0)))))) h5)) (* (* (* (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (* (sin h1) (sin h0)))))) (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (* (sin h1) (sin h0))))))) (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (* (sin h1) (sin h0))))))) (* (* h5 h5) h5)) (* (cbrt (* (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (* (sin h1) (sin h0)))))) h5)) (cbrt (* (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (* (sin h1) (sin h0)))))) h5))) (cbrt (* (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (* (sin h1) (sin h0)))))) h5)) (* (* (* (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (* (sin h1) (sin h0)))))) h5) (* (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (* (sin h1) (sin h0)))))) h5)) (* (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (* (sin h1) (sin h0)))))) h5)) (sqrt (* (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (* (sin h1) (sin h0)))))) h5)) (sqrt (* (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (* (sin h1) (sin h0)))))) h5)) (* (sqrt (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (* (sin h1) (sin h0))))))) (sqrt h5)) (* (sqrt (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (* (sin h1) (sin h0))))))) (sqrt h5)) (* (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (* (sin h1) (sin h0)))))) (* (cbrt h5) (cbrt h5))) (* (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (* (sin h1) (sin h0)))))) (sqrt h5)) (* (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (* (sin h1) (sin h0)))))) 1) (* (cbrt (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (* (sin h1) (sin h0))))))) h5) (* (sqrt (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (* (sin h1) (sin h0))))))) h5) (* (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (* (sin h1) (sin h0)))))) h5) (expm1 (* (sin h3) (sin h2))) (log1p (* (sin h3) (sin h2))) (- (cos (- h3 h2)) (cos (+ h3 h2))) (* (sin h3) (sin h2)) (+ (log (sin h3)) (log (sin h2))) (log (* (sin h3) (sin h2))) (exp (* (sin h3) (sin h2))) (* (* (* (sin h3) (sin h3)) (sin h3)) (* (* (sin h2) (sin h2)) (sin h2))) (* (cbrt (* (sin h3) (sin h2))) (cbrt (* (sin h3) (sin h2)))) (cbrt (* (sin h3) (sin h2))) (* (* (* (sin h3) (sin h2)) (* (sin h3) (sin h2))) (* (sin h3) (sin h2))) (sqrt (* (sin h3) (sin h2))) (sqrt (* (sin h3) (sin h2))) (* (sqrt (sin h3)) (sqrt (sin h2))) (* (sqrt (sin h3)) (sqrt (sin h2))) (* (sin h3) (* (cbrt (sin h2)) (cbrt (sin h2)))) (* (sin h3) (sqrt (sin h2))) (* (sin h3) 1) (* (cbrt (sin h3)) (sin h2)) (* (sqrt (sin h3)) (sin h2)) (* (sin h3) (sin h2)) (expm1 (* (sin h1) (sin h0))) (log1p (* (sin h1) (sin h0))) (- (cos (- h1 h0)) (cos (+ h1 h0))) (* (sin h1) (sin h0)) (+ (log (sin h1)) (log (sin h0))) (log (* (sin h1) (sin h0))) (exp (* (sin h1) (sin h0))) (* (* (* (sin h1) (sin h1)) (sin h1)) (* (* (sin h0) (sin h0)) (sin h0))) (* (cbrt (* (sin h1) (sin h0))) (cbrt (* (sin h1) (sin h0)))) (cbrt (* (sin h1) (sin h0))) (* (* (* (sin h1) (sin h0)) (* (sin h1) (sin h0))) (* (sin h1) (sin h0))) (sqrt (* (sin h1) (sin h0))) (sqrt (* (sin h1) (sin h0))) (* (sqrt (sin h1)) (sqrt (sin h0))) (* (sqrt (sin h1)) (sqrt (sin h0))) (* (sin h1) (* (cbrt (sin h0)) (cbrt (sin h0)))) (* (sin h1) (sqrt (sin h0))) (* (sin h1) 1) (* (cbrt (sin h1)) (sin h0)) (* (sqrt (sin h1)) (sin h0)) (* (sin h1) (sin h0)) (acos (+ (* (sin h3) (sin h2)) (+ (* (cos h1) (* (cos h3) (* (cos h2) (cos h0)))) (* (sin h1) (* (cos h3) (* (cos h2) (sin h0))))))) (acos (+ (* (sin h3) (sin h2)) (+ (* (cos h1) (* (cos h3) (* (cos h2) (cos h0)))) (* (sin h1) (* (cos h3) (* (cos h2) (sin h0))))))) (acos (+ (* (sin h1) (* (cos h3) (* (cos h2) (sin h0)))) (+ (* (cos h1) (* (cos h3) (* (cos h2) (cos h0)))) (* (sin h3) (sin h2))))) (* (acos (+ (* (sin h3) (sin h2)) (+ (* (cos h1) (* (cos h3) (* (cos h2) (cos h0)))) (* (sin h1) (* (cos h3) (* (cos h2) (sin h0))))))) h5) (* (acos (+ (* (sin h3) (sin h2)) (+ (* (cos h1) (* (cos h3) (* (cos h2) (cos h0)))) (* (sin h1) (* (cos h3) (* (cos h2) (sin h0))))))) h5) (* (acos (+ (* (sin h1) (* (cos h3) (* (cos h2) (sin h0)))) (+ (* (cos h1) (* (cos h3) (* (cos h2) (cos h0)))) (* (sin h3) (sin h2))))) h5) (* h2 h3) (* (sin h3) (sin h2)) (* (sin h3) (sin h2)) (* h0 h1) (* (sin h1) (sin h0)) (* (sin h1) (sin h0)) 1.144 * * [simplify]: iteration 0 : 274 enodes (cost 1015 ) 1.148 * * [simplify]: iteration 1 : 872 enodes (cost 860 ) 1.162 * * [simplify]: iteration 2 : 2115 enodes (cost 860 ) 1.184 * * [simplify]: iteration 3 : 3356 enodes (cost 860 ) 1.213 * * [simplify]: iteration 4 : 5001 enodes (cost 860 ) 1.216 * * * [progress]: adding candidates to table 1.596 * * [progress]: iteration 3 / 4 1.596 * * * [progress]: picking best candidate 1.707 * * * * [pick]: Picked # 1.707 * * * [progress]: localizing error 1.746 * * * [progress]: generating rewritten candidates 1.746 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2 2) 1.751 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.753 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.759 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 1.773 * * * [progress]: generating series expansions 1.773 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2 2) 1.773 * [backup-simplify]: Simplify (log (exp (* (sin lambda1) (sin lambda2)))) into (* (sin lambda1) (sin lambda2)) 1.773 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0 1.773 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 1.773 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 1.773 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.773 * [backup-simplify]: Simplify lambda1 into lambda1 1.773 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 1.773 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 1.773 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.773 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.773 * [backup-simplify]: Simplify 0 into 0 1.773 * [backup-simplify]: Simplify 1 into 1 1.773 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 1.773 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.773 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.773 * [backup-simplify]: Simplify 0 into 0 1.773 * [backup-simplify]: Simplify 1 into 1 1.773 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 1.773 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.773 * [backup-simplify]: Simplify lambda2 into lambda2 1.773 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 1.773 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 1.773 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 1.773 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.773 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.773 * [backup-simplify]: Simplify 0 into 0 1.773 * [backup-simplify]: Simplify 1 into 1 1.773 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 1.773 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.773 * [backup-simplify]: Simplify lambda2 into lambda2 1.773 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 1.773 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 1.774 * [backup-simplify]: Simplify (* (sin lambda2) 1) into (sin lambda2) 1.774 * [backup-simplify]: Simplify (* (cos lambda2) 0) into 0 1.774 * [backup-simplify]: Simplify (+ (sin lambda2) 0) into (sin lambda2) 1.774 * [backup-simplify]: Simplify (* 0 (sin lambda2)) into 0 1.774 * [taylor]: Taking taylor expansion of 0 in lambda2 1.774 * [backup-simplify]: Simplify 0 into 0 1.774 * [backup-simplify]: Simplify 0 into 0 1.774 * [backup-simplify]: Simplify (+ 0) into 0 1.775 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (* 0 1)) into 0 1.775 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.775 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (* 0 0)) into 0 1.776 * [backup-simplify]: Simplify (+ 0 0) into 0 1.776 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.776 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin lambda2))) into (sin lambda2) 1.776 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.776 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.776 * [backup-simplify]: Simplify 0 into 0 1.776 * [backup-simplify]: Simplify 1 into 1 1.776 * [backup-simplify]: Simplify 0 into 0 1.776 * [backup-simplify]: Simplify 0 into 0 1.777 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.777 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (* 0 1))) into 0 1.778 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.778 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (* 0 0))) into 0 1.778 * [backup-simplify]: Simplify (+ 0 0) into 0 1.779 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.779 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin lambda2)))) into 0 1.779 * [taylor]: Taking taylor expansion of 0 in lambda2 1.779 * [backup-simplify]: Simplify 0 into 0 1.779 * [backup-simplify]: Simplify 0 into 0 1.780 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.780 * [backup-simplify]: Simplify 1 into 1 1.780 * [backup-simplify]: Simplify 0 into 0 1.780 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.781 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.782 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.782 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.782 * [backup-simplify]: Simplify (+ 0 0) into 0 1.783 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 1.784 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin lambda2))))) into (- (* 1/6 (sin lambda2))) 1.784 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin lambda2))) in lambda2 1.784 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2 1.784 * [taylor]: Taking taylor expansion of 1/6 in lambda2 1.784 * [backup-simplify]: Simplify 1/6 into 1/6 1.784 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.784 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.784 * [backup-simplify]: Simplify 0 into 0 1.784 * [backup-simplify]: Simplify 1 into 1 1.784 * [backup-simplify]: Simplify (* 1/6 0) into 0 1.785 * [backup-simplify]: Simplify (- 0) into 0 1.785 * [backup-simplify]: Simplify 0 into 0 1.785 * [backup-simplify]: Simplify 0 into 0 1.785 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.785 * [backup-simplify]: Simplify 0 into 0 1.785 * [backup-simplify]: Simplify 0 into 0 1.786 * [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 1.787 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.788 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.788 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 1.789 * [backup-simplify]: Simplify (+ 0 0) into 0 1.789 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.790 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin lambda2)))))) into 0 1.790 * [taylor]: Taking taylor expansion of 0 in lambda2 1.790 * [backup-simplify]: Simplify 0 into 0 1.790 * [backup-simplify]: Simplify 0 into 0 1.790 * [backup-simplify]: Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1) 1.791 * [backup-simplify]: Simplify (log (exp (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))) into (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) 1.791 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in (lambda1 lambda2) around 0 1.791 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.791 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.791 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.791 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.791 * [backup-simplify]: Simplify lambda1 into lambda1 1.791 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.791 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 1.791 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 1.791 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.791 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.791 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.791 * [backup-simplify]: Simplify 0 into 0 1.791 * [backup-simplify]: Simplify 1 into 1 1.791 * [backup-simplify]: Simplify (/ 1 1) into 1 1.791 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 1.791 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.791 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.791 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.791 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.791 * [backup-simplify]: Simplify 0 into 0 1.791 * [backup-simplify]: Simplify 1 into 1 1.791 * [backup-simplify]: Simplify (/ 1 1) into 1 1.792 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 1.792 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.792 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.792 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.792 * [backup-simplify]: Simplify lambda2 into lambda2 1.792 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.792 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 1.792 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 1.792 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.792 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.792 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.792 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.792 * [backup-simplify]: Simplify 0 into 0 1.792 * [backup-simplify]: Simplify 1 into 1 1.792 * [backup-simplify]: Simplify (/ 1 1) into 1 1.792 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 1.792 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.792 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.792 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.792 * [backup-simplify]: Simplify lambda2 into lambda2 1.792 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.792 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 1.792 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 1.792 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) 1) into (sin (/ 1 lambda2)) 1.792 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) 0) into 0 1.793 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda2)) 0) into (sin (/ 1 lambda2)) 1.793 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) into (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) 1.793 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.793 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.793 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.793 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.793 * [backup-simplify]: Simplify lambda1 into lambda1 1.793 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.793 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 1.793 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 1.793 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.793 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.793 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.793 * [backup-simplify]: Simplify 0 into 0 1.793 * [backup-simplify]: Simplify 1 into 1 1.793 * [backup-simplify]: Simplify (/ 1 1) into 1 1.793 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 1.793 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) 1) into (sin (/ 1 lambda1)) 1.793 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) 0) into 0 1.793 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda1)) 0) into (sin (/ 1 lambda1)) 1.793 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) into (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) 1.794 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) into (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) 1.794 * [backup-simplify]: Simplify (+ 0) into 0 1.794 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 1)) into 0 1.794 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 1.795 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.795 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 0)) into 0 1.795 * [backup-simplify]: Simplify (+ 0 0) into 0 1.795 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 (sin (/ 1 lambda2)))) into 0 1.795 * [taylor]: Taking taylor expansion of 0 in lambda2 1.795 * [backup-simplify]: Simplify 0 into 0 1.795 * [backup-simplify]: Simplify 0 into 0 1.795 * [backup-simplify]: Simplify (+ 0) into 0 1.796 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 1)) into 0 1.796 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0 1.796 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.797 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 0)) into 0 1.797 * [backup-simplify]: Simplify (+ 0 0) into 0 1.797 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 (sin (/ 1 lambda2)))) into 0 1.797 * [backup-simplify]: Simplify 0 into 0 1.798 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.798 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 1.798 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 1.799 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.799 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 1.799 * [backup-simplify]: Simplify (+ 0 0) into 0 1.799 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda2))))) into 0 1.799 * [taylor]: Taking taylor expansion of 0 in lambda2 1.800 * [backup-simplify]: Simplify 0 into 0 1.800 * [backup-simplify]: Simplify 0 into 0 1.800 * [backup-simplify]: Simplify 0 into 0 1.800 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.801 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 1.801 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 1.801 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.802 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 1.802 * [backup-simplify]: Simplify (+ 0 0) into 0 1.802 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda2))))) into 0 1.802 * [backup-simplify]: Simplify 0 into 0 1.803 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.803 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.803 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 1.804 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.805 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.805 * [backup-simplify]: Simplify (+ 0 0) into 0 1.805 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda2)))))) into 0 1.805 * [taylor]: Taking taylor expansion of 0 in lambda2 1.806 * [backup-simplify]: Simplify 0 into 0 1.806 * [backup-simplify]: Simplify 0 into 0 1.806 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 lambda1))) (sin (/ 1 (/ 1 lambda2)))) into (* (sin lambda1) (sin lambda2)) 1.806 * [backup-simplify]: Simplify (log (exp (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 1.806 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0 1.806 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 1.806 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.806 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.806 * [taylor]: Taking taylor expansion of -1 in lambda2 1.806 * [backup-simplify]: Simplify -1 into -1 1.806 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.806 * [backup-simplify]: Simplify lambda1 into lambda1 1.806 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 1.806 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 1.806 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 1.806 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 1.806 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.806 * [taylor]: Taking taylor expansion of -1 in lambda2 1.806 * [backup-simplify]: Simplify -1 into -1 1.806 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.806 * [backup-simplify]: Simplify 0 into 0 1.806 * [backup-simplify]: Simplify 1 into 1 1.807 * [backup-simplify]: Simplify (/ -1 1) into -1 1.807 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 1.807 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 1.807 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.807 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.807 * [taylor]: Taking taylor expansion of -1 in lambda1 1.807 * [backup-simplify]: Simplify -1 into -1 1.807 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.807 * [backup-simplify]: Simplify 0 into 0 1.807 * [backup-simplify]: Simplify 1 into 1 1.807 * [backup-simplify]: Simplify (/ -1 1) into -1 1.807 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 1.807 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 1.807 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.807 * [taylor]: Taking taylor expansion of -1 in lambda1 1.807 * [backup-simplify]: Simplify -1 into -1 1.807 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.807 * [backup-simplify]: Simplify lambda2 into lambda2 1.807 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 1.807 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 1.807 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 1.807 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 1.807 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.807 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.807 * [taylor]: Taking taylor expansion of -1 in lambda1 1.807 * [backup-simplify]: Simplify -1 into -1 1.807 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.807 * [backup-simplify]: Simplify 0 into 0 1.808 * [backup-simplify]: Simplify 1 into 1 1.808 * [backup-simplify]: Simplify (/ -1 1) into -1 1.808 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 1.808 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 1.808 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.808 * [taylor]: Taking taylor expansion of -1 in lambda1 1.808 * [backup-simplify]: Simplify -1 into -1 1.808 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.808 * [backup-simplify]: Simplify lambda2 into lambda2 1.808 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 1.808 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 1.808 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 1.808 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) 1) into (sin (/ -1 lambda2)) 1.808 * [backup-simplify]: Simplify (* (cos (/ -1 lambda2)) 0) into 0 1.808 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda2)) 0) into (sin (/ -1 lambda2)) 1.808 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 1.808 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 1.808 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.808 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.808 * [taylor]: Taking taylor expansion of -1 in lambda2 1.809 * [backup-simplify]: Simplify -1 into -1 1.809 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.809 * [backup-simplify]: Simplify lambda1 into lambda1 1.809 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 1.809 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 1.809 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 1.809 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 1.809 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.809 * [taylor]: Taking taylor expansion of -1 in lambda2 1.809 * [backup-simplify]: Simplify -1 into -1 1.809 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.809 * [backup-simplify]: Simplify 0 into 0 1.809 * [backup-simplify]: Simplify 1 into 1 1.809 * [backup-simplify]: Simplify (/ -1 1) into -1 1.809 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 1.809 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) 1) into (sin (/ -1 lambda1)) 1.809 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) 0) into 0 1.809 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda1)) 0) into (sin (/ -1 lambda1)) 1.809 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 1.809 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 1.810 * [backup-simplify]: Simplify (+ 0) into 0 1.810 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 1)) into 0 1.810 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)))) into 0 1.811 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.811 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 0)) into 0 1.811 * [backup-simplify]: Simplify (+ 0 0) into 0 1.811 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 1.811 * [taylor]: Taking taylor expansion of 0 in lambda2 1.811 * [backup-simplify]: Simplify 0 into 0 1.811 * [backup-simplify]: Simplify 0 into 0 1.812 * [backup-simplify]: Simplify (+ 0) into 0 1.812 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 1)) into 0 1.812 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)))) into 0 1.813 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.813 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 0)) into 0 1.813 * [backup-simplify]: Simplify (+ 0 0) into 0 1.818 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 1.818 * [backup-simplify]: Simplify 0 into 0 1.819 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.820 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 1.820 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 1.820 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.821 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 1.821 * [backup-simplify]: Simplify (+ 0 0) into 0 1.821 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 1.821 * [taylor]: Taking taylor expansion of 0 in lambda2 1.821 * [backup-simplify]: Simplify 0 into 0 1.821 * [backup-simplify]: Simplify 0 into 0 1.821 * [backup-simplify]: Simplify 0 into 0 1.822 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.823 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 1.823 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 1.823 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.824 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 1.824 * [backup-simplify]: Simplify (+ 0 0) into 0 1.824 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 1.824 * [backup-simplify]: Simplify 0 into 0 1.825 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.825 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.825 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 1.826 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.827 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.827 * [backup-simplify]: Simplify (+ 0 0) into 0 1.828 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2)))))) into 0 1.828 * [taylor]: Taking taylor expansion of 0 in lambda2 1.828 * [backup-simplify]: Simplify 0 into 0 1.828 * [backup-simplify]: Simplify 0 into 0 1.828 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- lambda1)))) (sin (/ -1 (/ 1 (- lambda2))))) into (* (sin lambda1) (sin lambda2)) 1.828 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.828 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (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))))))) 1.828 * [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 1.829 * [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 1.829 * [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))))))) 1.829 * [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 1.829 * [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))))))) 1.829 * [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 1.830 * [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))))))) 1.830 * [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 1.830 * [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))))))) 1.830 * [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 1.831 * [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))))))) 1.831 * [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 1.831 * [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))))))) 1.831 * [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 1.831 * [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))))))) 1.832 * [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 1.832 * [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))))))) 1.832 * [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))))))) 1.832 * [taylor]: Taking taylor expansion of 0 in phi2 1.832 * [backup-simplify]: Simplify 0 into 0 1.832 * [taylor]: Taking taylor expansion of 0 in lambda1 1.832 * [backup-simplify]: Simplify 0 into 0 1.833 * [taylor]: Taking taylor expansion of 0 in lambda2 1.833 * [backup-simplify]: Simplify 0 into 0 1.833 * [backup-simplify]: Simplify 0 into 0 1.833 * [taylor]: Taking taylor expansion of 0 in lambda1 1.833 * [backup-simplify]: Simplify 0 into 0 1.833 * [taylor]: Taking taylor expansion of 0 in lambda2 1.833 * [backup-simplify]: Simplify 0 into 0 1.833 * [backup-simplify]: Simplify 0 into 0 1.833 * [taylor]: Taking taylor expansion of 0 in lambda2 1.833 * [backup-simplify]: Simplify 0 into 0 1.833 * [backup-simplify]: Simplify 0 into 0 1.833 * [backup-simplify]: Simplify 0 into 0 1.833 * [taylor]: Taking taylor expansion of 0 in phi2 1.833 * [backup-simplify]: Simplify 0 into 0 1.833 * [taylor]: Taking taylor expansion of 0 in lambda1 1.833 * [backup-simplify]: Simplify 0 into 0 1.833 * [taylor]: Taking taylor expansion of 0 in lambda2 1.833 * [backup-simplify]: Simplify 0 into 0 1.833 * [backup-simplify]: Simplify 0 into 0 1.833 * [taylor]: Taking taylor expansion of 0 in lambda1 1.833 * [backup-simplify]: Simplify 0 into 0 1.833 * [taylor]: Taking taylor expansion of 0 in lambda2 1.833 * [backup-simplify]: Simplify 0 into 0 1.833 * [backup-simplify]: Simplify 0 into 0 1.833 * [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))))))) 1.834 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (log (exp (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 1.834 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.834 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 1.834 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 1.834 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 1.835 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 1.835 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 1.835 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 1.835 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 1.836 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 1.836 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 1.836 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 1.837 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 1.837 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 1.837 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 1.838 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 1.838 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 1.838 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 1.839 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 1.839 * [taylor]: Taking taylor expansion of 0 in phi2 1.839 * [backup-simplify]: Simplify 0 into 0 1.839 * [taylor]: Taking taylor expansion of 0 in lambda1 1.839 * [backup-simplify]: Simplify 0 into 0 1.839 * [taylor]: Taking taylor expansion of 0 in lambda2 1.839 * [backup-simplify]: Simplify 0 into 0 1.839 * [backup-simplify]: Simplify 0 into 0 1.839 * [taylor]: Taking taylor expansion of 0 in lambda1 1.839 * [backup-simplify]: Simplify 0 into 0 1.839 * [taylor]: Taking taylor expansion of 0 in lambda2 1.839 * [backup-simplify]: Simplify 0 into 0 1.839 * [backup-simplify]: Simplify 0 into 0 1.839 * [taylor]: Taking taylor expansion of 0 in lambda2 1.839 * [backup-simplify]: Simplify 0 into 0 1.839 * [backup-simplify]: Simplify 0 into 0 1.839 * [backup-simplify]: Simplify 0 into 0 1.839 * [taylor]: Taking taylor expansion of 0 in phi2 1.839 * [backup-simplify]: Simplify 0 into 0 1.839 * [taylor]: Taking taylor expansion of 0 in lambda1 1.839 * [backup-simplify]: Simplify 0 into 0 1.839 * [taylor]: Taking taylor expansion of 0 in lambda2 1.839 * [backup-simplify]: Simplify 0 into 0 1.839 * [backup-simplify]: Simplify 0 into 0 1.839 * [taylor]: Taking taylor expansion of 0 in lambda1 1.839 * [backup-simplify]: Simplify 0 into 0 1.839 * [taylor]: Taking taylor expansion of 0 in lambda2 1.839 * [backup-simplify]: Simplify 0 into 0 1.839 * [backup-simplify]: Simplify 0 into 0 1.840 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 phi1))) (cos (/ 1 (/ 1 lambda1)))))) (+ (* (sin (/ 1 (/ 1 phi1))) (sin (/ 1 (/ 1 phi2)))) (* (sin (/ 1 (/ 1 lambda1))) (* (sin (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi2))) (cos (/ 1 (/ 1 phi1))))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) 1.841 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (log (exp (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1.841 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0 1.841 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 1.841 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1.841 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 1.842 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1.842 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 1.842 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1.842 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 1.843 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1.843 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 1.843 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1.843 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 1.844 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1.844 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 1.844 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1.844 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 1.845 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1.845 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1.845 * [taylor]: Taking taylor expansion of 0 in phi2 1.845 * [backup-simplify]: Simplify 0 into 0 1.845 * [taylor]: Taking taylor expansion of 0 in lambda1 1.845 * [backup-simplify]: Simplify 0 into 0 1.845 * [taylor]: Taking taylor expansion of 0 in lambda2 1.846 * [backup-simplify]: Simplify 0 into 0 1.846 * [backup-simplify]: Simplify 0 into 0 1.846 * [taylor]: Taking taylor expansion of 0 in lambda1 1.846 * [backup-simplify]: Simplify 0 into 0 1.846 * [taylor]: Taking taylor expansion of 0 in lambda2 1.846 * [backup-simplify]: Simplify 0 into 0 1.846 * [backup-simplify]: Simplify 0 into 0 1.846 * [taylor]: Taking taylor expansion of 0 in lambda2 1.846 * [backup-simplify]: Simplify 0 into 0 1.846 * [backup-simplify]: Simplify 0 into 0 1.846 * [backup-simplify]: Simplify 0 into 0 1.846 * [taylor]: Taking taylor expansion of 0 in phi2 1.846 * [backup-simplify]: Simplify 0 into 0 1.846 * [taylor]: Taking taylor expansion of 0 in lambda1 1.846 * [backup-simplify]: Simplify 0 into 0 1.846 * [taylor]: Taking taylor expansion of 0 in lambda2 1.846 * [backup-simplify]: Simplify 0 into 0 1.846 * [backup-simplify]: Simplify 0 into 0 1.846 * [taylor]: Taking taylor expansion of 0 in lambda1 1.846 * [backup-simplify]: Simplify 0 into 0 1.846 * [taylor]: Taking taylor expansion of 0 in lambda2 1.846 * [backup-simplify]: Simplify 0 into 0 1.846 * [backup-simplify]: Simplify 0 into 0 1.847 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2))))))) (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2)))))))) into (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 1.847 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.847 * [backup-simplify]: Simplify (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (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) 1.847 * [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 1.847 * [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 1.847 * [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 1.848 * [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))))))) 1.848 * [taylor]: Taking taylor expansion of R in R 1.848 * [backup-simplify]: Simplify 0 into 0 1.848 * [backup-simplify]: Simplify 1 into 1 1.848 * [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 1.848 * [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 1.848 * [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))))))) 1.848 * [taylor]: Taking taylor expansion of R in lambda2 1.848 * [backup-simplify]: Simplify R into R 1.848 * [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 1.848 * [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 1.848 * [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))))))) 1.849 * [taylor]: Taking taylor expansion of R in lambda1 1.849 * [backup-simplify]: Simplify R into R 1.849 * [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 1.849 * [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 1.849 * [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))))))) 1.849 * [taylor]: Taking taylor expansion of R in phi2 1.849 * [backup-simplify]: Simplify R into R 1.849 * [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 1.849 * [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 1.849 * [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))))))) 1.849 * [taylor]: Taking taylor expansion of R in phi1 1.849 * [backup-simplify]: Simplify R into R 1.849 * [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 1.849 * [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 1.850 * [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))))))) 1.850 * [taylor]: Taking taylor expansion of R in phi1 1.850 * [backup-simplify]: Simplify R into R 1.851 * [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) 1.851 * [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 1.851 * [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 1.851 * [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))))))) 1.851 * [taylor]: Taking taylor expansion of R in phi2 1.851 * [backup-simplify]: Simplify R into R 1.851 * [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) 1.851 * [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 1.851 * [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 1.852 * [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))))))) 1.852 * [taylor]: Taking taylor expansion of R in lambda1 1.852 * [backup-simplify]: Simplify R into R 1.852 * [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) 1.852 * [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 1.852 * [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 1.853 * [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))))))) 1.853 * [taylor]: Taking taylor expansion of R in lambda2 1.853 * [backup-simplify]: Simplify R into R 1.853 * [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) 1.853 * [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 1.853 * [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 1.854 * [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))))))) 1.854 * [taylor]: Taking taylor expansion of R in R 1.854 * [backup-simplify]: Simplify 0 into 0 1.854 * [backup-simplify]: Simplify 1 into 1 1.854 * [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 1.854 * [backup-simplify]: Simplify 0 into 0 1.855 * [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 1.855 * [taylor]: Taking taylor expansion of 0 in phi2 1.855 * [backup-simplify]: Simplify 0 into 0 1.855 * [taylor]: Taking taylor expansion of 0 in lambda1 1.855 * [backup-simplify]: Simplify 0 into 0 1.855 * [taylor]: Taking taylor expansion of 0 in lambda2 1.855 * [backup-simplify]: Simplify 0 into 0 1.855 * [taylor]: Taking taylor expansion of 0 in R 1.855 * [backup-simplify]: Simplify 0 into 0 1.855 * [backup-simplify]: Simplify 0 into 0 1.855 * [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 1.855 * [taylor]: Taking taylor expansion of 0 in lambda1 1.855 * [backup-simplify]: Simplify 0 into 0 1.855 * [taylor]: Taking taylor expansion of 0 in lambda2 1.855 * [backup-simplify]: Simplify 0 into 0 1.855 * [taylor]: Taking taylor expansion of 0 in R 1.855 * [backup-simplify]: Simplify 0 into 0 1.855 * [backup-simplify]: Simplify 0 into 0 1.856 * [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 1.856 * [taylor]: Taking taylor expansion of 0 in lambda2 1.856 * [backup-simplify]: Simplify 0 into 0 1.856 * [taylor]: Taking taylor expansion of 0 in R 1.856 * [backup-simplify]: Simplify 0 into 0 1.856 * [backup-simplify]: Simplify 0 into 0 1.856 * [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 1.857 * [taylor]: Taking taylor expansion of 0 in R 1.857 * [backup-simplify]: Simplify 0 into 0 1.857 * [backup-simplify]: Simplify 0 into 0 1.857 * [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))))))) 1.858 * [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))))))) 1.859 * [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 1.859 * [taylor]: Taking taylor expansion of 0 in phi2 1.859 * [backup-simplify]: Simplify 0 into 0 1.859 * [taylor]: Taking taylor expansion of 0 in lambda1 1.859 * [backup-simplify]: Simplify 0 into 0 1.859 * [taylor]: Taking taylor expansion of 0 in lambda2 1.859 * [backup-simplify]: Simplify 0 into 0 1.859 * [taylor]: Taking taylor expansion of 0 in R 1.859 * [backup-simplify]: Simplify 0 into 0 1.859 * [backup-simplify]: Simplify 0 into 0 1.859 * [taylor]: Taking taylor expansion of 0 in lambda1 1.859 * [backup-simplify]: Simplify 0 into 0 1.859 * [taylor]: Taking taylor expansion of 0 in lambda2 1.859 * [backup-simplify]: Simplify 0 into 0 1.859 * [taylor]: Taking taylor expansion of 0 in R 1.859 * [backup-simplify]: Simplify 0 into 0 1.859 * [backup-simplify]: Simplify 0 into 0 1.860 * [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 1.860 * [taylor]: Taking taylor expansion of 0 in lambda1 1.860 * [backup-simplify]: Simplify 0 into 0 1.860 * [taylor]: Taking taylor expansion of 0 in lambda2 1.860 * [backup-simplify]: Simplify 0 into 0 1.860 * [taylor]: Taking taylor expansion of 0 in R 1.860 * [backup-simplify]: Simplify 0 into 0 1.860 * [backup-simplify]: Simplify 0 into 0 1.860 * [taylor]: Taking taylor expansion of 0 in lambda2 1.860 * [backup-simplify]: Simplify 0 into 0 1.860 * [taylor]: Taking taylor expansion of 0 in R 1.860 * [backup-simplify]: Simplify 0 into 0 1.860 * [backup-simplify]: Simplify 0 into 0 1.860 * [taylor]: Taking taylor expansion of 0 in lambda2 1.860 * [backup-simplify]: Simplify 0 into 0 1.860 * [taylor]: Taking taylor expansion of 0 in R 1.860 * [backup-simplify]: Simplify 0 into 0 1.860 * [backup-simplify]: Simplify 0 into 0 1.861 * [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 1.861 * [taylor]: Taking taylor expansion of 0 in lambda2 1.861 * [backup-simplify]: Simplify 0 into 0 1.861 * [taylor]: Taking taylor expansion of 0 in R 1.861 * [backup-simplify]: Simplify 0 into 0 1.861 * [backup-simplify]: Simplify 0 into 0 1.862 * [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) 1.863 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (log (exp (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))))) (/ 1 R)) into (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) 1.863 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 1.863 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in R 1.863 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R 1.863 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 1.863 * [taylor]: Taking taylor expansion of R in R 1.863 * [backup-simplify]: Simplify 0 into 0 1.863 * [backup-simplify]: Simplify 1 into 1 1.864 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 1) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 1.864 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda2 1.864 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 1.865 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 1.865 * [taylor]: Taking taylor expansion of R in lambda2 1.865 * [backup-simplify]: Simplify R into R 1.865 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) 1.865 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda1 1.865 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 1.866 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 1.866 * [taylor]: Taking taylor expansion of R in lambda1 1.866 * [backup-simplify]: Simplify R into R 1.866 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) 1.866 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi2 1.866 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 1.867 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 1.867 * [taylor]: Taking taylor expansion of R in phi2 1.867 * [backup-simplify]: Simplify R into R 1.867 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) 1.868 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi1 1.868 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 1.868 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 1.868 * [taylor]: Taking taylor expansion of R in phi1 1.868 * [backup-simplify]: Simplify R into R 1.869 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) 1.869 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi1 1.869 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 1.869 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 1.869 * [taylor]: Taking taylor expansion of R in phi1 1.869 * [backup-simplify]: Simplify R into R 1.870 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) 1.870 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi2 1.870 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 1.871 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 1.871 * [taylor]: Taking taylor expansion of R in phi2 1.871 * [backup-simplify]: Simplify R into R 1.871 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) 1.871 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda1 1.871 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 1.872 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 1.872 * [taylor]: Taking taylor expansion of R in lambda1 1.872 * [backup-simplify]: Simplify R into R 1.872 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) 1.872 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda2 1.872 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 1.873 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 1.873 * [taylor]: Taking taylor expansion of R in lambda2 1.873 * [backup-simplify]: Simplify R into R 1.873 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) 1.874 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in R 1.874 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R 1.874 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 1.874 * [taylor]: Taking taylor expansion of R in R 1.874 * [backup-simplify]: Simplify 0 into 0 1.874 * [backup-simplify]: Simplify 1 into 1 1.875 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 1) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 1.875 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 1.876 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0 1.876 * [taylor]: Taking taylor expansion of 0 in phi2 1.876 * [backup-simplify]: Simplify 0 into 0 1.876 * [taylor]: Taking taylor expansion of 0 in lambda1 1.876 * [backup-simplify]: Simplify 0 into 0 1.876 * [taylor]: Taking taylor expansion of 0 in lambda2 1.876 * [backup-simplify]: Simplify 0 into 0 1.876 * [taylor]: Taking taylor expansion of 0 in R 1.876 * [backup-simplify]: Simplify 0 into 0 1.877 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0 1.877 * [taylor]: Taking taylor expansion of 0 in lambda1 1.877 * [backup-simplify]: Simplify 0 into 0 1.877 * [taylor]: Taking taylor expansion of 0 in lambda2 1.877 * [backup-simplify]: Simplify 0 into 0 1.877 * [taylor]: Taking taylor expansion of 0 in R 1.877 * [backup-simplify]: Simplify 0 into 0 1.878 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0 1.878 * [taylor]: Taking taylor expansion of 0 in lambda2 1.878 * [backup-simplify]: Simplify 0 into 0 1.878 * [taylor]: Taking taylor expansion of 0 in R 1.878 * [backup-simplify]: Simplify 0 into 0 1.879 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0 1.879 * [taylor]: Taking taylor expansion of 0 in R 1.879 * [backup-simplify]: Simplify 0 into 0 1.880 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) (/ 0 1)))) into 0 1.880 * [backup-simplify]: Simplify 0 into 0 1.881 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 1.881 * [taylor]: Taking taylor expansion of 0 in phi2 1.881 * [backup-simplify]: Simplify 0 into 0 1.881 * [taylor]: Taking taylor expansion of 0 in lambda1 1.881 * [backup-simplify]: Simplify 0 into 0 1.881 * [taylor]: Taking taylor expansion of 0 in lambda2 1.881 * [backup-simplify]: Simplify 0 into 0 1.881 * [taylor]: Taking taylor expansion of 0 in R 1.881 * [backup-simplify]: Simplify 0 into 0 1.881 * [taylor]: Taking taylor expansion of 0 in lambda1 1.881 * [backup-simplify]: Simplify 0 into 0 1.881 * [taylor]: Taking taylor expansion of 0 in lambda2 1.881 * [backup-simplify]: Simplify 0 into 0 1.881 * [taylor]: Taking taylor expansion of 0 in R 1.881 * [backup-simplify]: Simplify 0 into 0 1.882 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 1.882 * [taylor]: Taking taylor expansion of 0 in lambda1 1.882 * [backup-simplify]: Simplify 0 into 0 1.882 * [taylor]: Taking taylor expansion of 0 in lambda2 1.882 * [backup-simplify]: Simplify 0 into 0 1.882 * [taylor]: Taking taylor expansion of 0 in R 1.882 * [backup-simplify]: Simplify 0 into 0 1.882 * [taylor]: Taking taylor expansion of 0 in lambda2 1.882 * [backup-simplify]: Simplify 0 into 0 1.882 * [taylor]: Taking taylor expansion of 0 in R 1.882 * [backup-simplify]: Simplify 0 into 0 1.882 * [taylor]: Taking taylor expansion of 0 in lambda2 1.882 * [backup-simplify]: Simplify 0 into 0 1.882 * [taylor]: Taking taylor expansion of 0 in R 1.882 * [backup-simplify]: Simplify 0 into 0 1.883 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 1.883 * [taylor]: Taking taylor expansion of 0 in lambda2 1.883 * [backup-simplify]: Simplify 0 into 0 1.883 * [taylor]: Taking taylor expansion of 0 in R 1.883 * [backup-simplify]: Simplify 0 into 0 1.883 * [taylor]: Taking taylor expansion of 0 in R 1.883 * [backup-simplify]: Simplify 0 into 0 1.883 * [taylor]: Taking taylor expansion of 0 in R 1.883 * [backup-simplify]: Simplify 0 into 0 1.883 * [taylor]: Taking taylor expansion of 0 in R 1.883 * [backup-simplify]: Simplify 0 into 0 1.884 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 1.884 * [taylor]: Taking taylor expansion of 0 in R 1.884 * [backup-simplify]: Simplify 0 into 0 1.884 * [backup-simplify]: Simplify 0 into 0 1.884 * [backup-simplify]: Simplify 0 into 0 1.884 * [backup-simplify]: Simplify 0 into 0 1.884 * [backup-simplify]: Simplify 0 into 0 1.885 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.885 * [backup-simplify]: Simplify 0 into 0 1.887 * [backup-simplify]: Simplify (* (acos (+ (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 phi1))) (cos (/ 1 (/ 1 lambda1)))))) (+ (* (sin (/ 1 (/ 1 phi1))) (sin (/ 1 (/ 1 phi2)))) (* (sin (/ 1 (/ 1 lambda1))) (* (sin (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi2))) (cos (/ 1 (/ 1 phi1))))))))) (* (/ 1 (/ 1 R)) (* 1 (* 1 (* 1 1))))) into (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) 1.887 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (log (exp (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))))) (/ 1 (- R))) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) 1.887 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 1.887 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R 1.887 * [taylor]: Taking taylor expansion of -1 in R 1.887 * [backup-simplify]: Simplify -1 into -1 1.888 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R 1.888 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R 1.888 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1.888 * [taylor]: Taking taylor expansion of R in R 1.888 * [backup-simplify]: Simplify 0 into 0 1.888 * [backup-simplify]: Simplify 1 into 1 1.889 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1.889 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2 1.889 * [taylor]: Taking taylor expansion of -1 in lambda2 1.889 * [backup-simplify]: Simplify -1 into -1 1.889 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2 1.889 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 1.889 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1.889 * [taylor]: Taking taylor expansion of R in lambda2 1.889 * [backup-simplify]: Simplify R into R 1.890 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) 1.890 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda1 1.890 * [taylor]: Taking taylor expansion of -1 in lambda1 1.890 * [backup-simplify]: Simplify -1 into -1 1.890 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1 1.890 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 1.891 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1.891 * [taylor]: Taking taylor expansion of R in lambda1 1.891 * [backup-simplify]: Simplify R into R 1.891 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) 1.891 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2 1.891 * [taylor]: Taking taylor expansion of -1 in phi2 1.891 * [backup-simplify]: Simplify -1 into -1 1.891 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2 1.891 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 1.892 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1.892 * [taylor]: Taking taylor expansion of R in phi2 1.892 * [backup-simplify]: Simplify R into R 1.892 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) 1.892 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi1 1.892 * [taylor]: Taking taylor expansion of -1 in phi1 1.892 * [backup-simplify]: Simplify -1 into -1 1.893 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1 1.893 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 1.893 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1.893 * [taylor]: Taking taylor expansion of R in phi1 1.893 * [backup-simplify]: Simplify R into R 1.894 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) 1.894 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi1 1.894 * [taylor]: Taking taylor expansion of -1 in phi1 1.894 * [backup-simplify]: Simplify -1 into -1 1.894 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1 1.894 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 1.894 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1.894 * [taylor]: Taking taylor expansion of R in phi1 1.894 * [backup-simplify]: Simplify R into R 1.895 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) 1.896 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) 1.896 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2 1.896 * [taylor]: Taking taylor expansion of -1 in phi2 1.896 * [backup-simplify]: Simplify -1 into -1 1.896 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2 1.896 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 1.896 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1.896 * [taylor]: Taking taylor expansion of R in phi2 1.896 * [backup-simplify]: Simplify R into R 1.897 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) 1.898 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) 1.898 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda1 1.898 * [taylor]: Taking taylor expansion of -1 in lambda1 1.898 * [backup-simplify]: Simplify -1 into -1 1.898 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1 1.898 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 1.898 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1.898 * [taylor]: Taking taylor expansion of R in lambda1 1.898 * [backup-simplify]: Simplify R into R 1.899 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) 1.899 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) 1.899 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2 1.899 * [taylor]: Taking taylor expansion of -1 in lambda2 1.899 * [backup-simplify]: Simplify -1 into -1 1.900 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2 1.900 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 1.900 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1.900 * [taylor]: Taking taylor expansion of R in lambda2 1.900 * [backup-simplify]: Simplify R into R 1.901 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) 1.901 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) 1.901 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R 1.901 * [taylor]: Taking taylor expansion of -1 in R 1.901 * [backup-simplify]: Simplify -1 into -1 1.901 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R 1.901 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R 1.902 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1.902 * [taylor]: Taking taylor expansion of R in R 1.902 * [backup-simplify]: Simplify 0 into 0 1.902 * [backup-simplify]: Simplify 1 into 1 1.903 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1.903 * [backup-simplify]: Simplify (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) into (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) 1.904 * [backup-simplify]: Simplify (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) into (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) 1.905 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) (/ 0 R)))) into 0 1.906 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R))) into 0 1.906 * [taylor]: Taking taylor expansion of 0 in phi2 1.906 * [backup-simplify]: Simplify 0 into 0 1.906 * [taylor]: Taking taylor expansion of 0 in lambda1 1.906 * [backup-simplify]: Simplify 0 into 0 1.906 * [taylor]: Taking taylor expansion of 0 in lambda2 1.906 * [backup-simplify]: Simplify 0 into 0 1.906 * [taylor]: Taking taylor expansion of 0 in R 1.906 * [backup-simplify]: Simplify 0 into 0 1.909 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) (/ 0 R)))) into 0 1.910 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R))) into 0 1.910 * [taylor]: Taking taylor expansion of 0 in lambda1 1.910 * [backup-simplify]: Simplify 0 into 0 1.910 * [taylor]: Taking taylor expansion of 0 in lambda2 1.910 * [backup-simplify]: Simplify 0 into 0 1.910 * [taylor]: Taking taylor expansion of 0 in R 1.910 * [backup-simplify]: Simplify 0 into 0 1.911 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) (/ 0 R)))) into 0 1.912 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R))) into 0 1.912 * [taylor]: Taking taylor expansion of 0 in lambda2 1.912 * [backup-simplify]: Simplify 0 into 0 1.912 * [taylor]: Taking taylor expansion of 0 in R 1.912 * [backup-simplify]: Simplify 0 into 0 1.913 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) (/ 0 R)))) into 0 1.914 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R))) into 0 1.914 * [taylor]: Taking taylor expansion of 0 in R 1.914 * [backup-simplify]: Simplify 0 into 0 1.915 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) (/ 0 1)))) into 0 1.915 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))))) into 0 1.916 * [backup-simplify]: Simplify 0 into 0 1.916 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 1.917 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)))) into 0 1.917 * [taylor]: Taking taylor expansion of 0 in phi2 1.917 * [backup-simplify]: Simplify 0 into 0 1.917 * [taylor]: Taking taylor expansion of 0 in lambda1 1.917 * [backup-simplify]: Simplify 0 into 0 1.917 * [taylor]: Taking taylor expansion of 0 in lambda2 1.917 * [backup-simplify]: Simplify 0 into 0 1.917 * [taylor]: Taking taylor expansion of 0 in R 1.917 * [backup-simplify]: Simplify 0 into 0 1.918 * [taylor]: Taking taylor expansion of 0 in lambda1 1.918 * [backup-simplify]: Simplify 0 into 0 1.918 * [taylor]: Taking taylor expansion of 0 in lambda2 1.918 * [backup-simplify]: Simplify 0 into 0 1.918 * [taylor]: Taking taylor expansion of 0 in R 1.918 * [backup-simplify]: Simplify 0 into 0 1.918 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 1.919 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)))) into 0 1.919 * [taylor]: Taking taylor expansion of 0 in lambda1 1.919 * [backup-simplify]: Simplify 0 into 0 1.919 * [taylor]: Taking taylor expansion of 0 in lambda2 1.919 * [backup-simplify]: Simplify 0 into 0 1.919 * [taylor]: Taking taylor expansion of 0 in R 1.919 * [backup-simplify]: Simplify 0 into 0 1.920 * [taylor]: Taking taylor expansion of 0 in lambda2 1.920 * [backup-simplify]: Simplify 0 into 0 1.920 * [taylor]: Taking taylor expansion of 0 in R 1.920 * [backup-simplify]: Simplify 0 into 0 1.920 * [taylor]: Taking taylor expansion of 0 in lambda2 1.920 * [backup-simplify]: Simplify 0 into 0 1.920 * [taylor]: Taking taylor expansion of 0 in R 1.920 * [backup-simplify]: Simplify 0 into 0 1.920 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 1.921 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)))) into 0 1.921 * [taylor]: Taking taylor expansion of 0 in lambda2 1.921 * [backup-simplify]: Simplify 0 into 0 1.921 * [taylor]: Taking taylor expansion of 0 in R 1.922 * [backup-simplify]: Simplify 0 into 0 1.922 * [taylor]: Taking taylor expansion of 0 in R 1.922 * [backup-simplify]: Simplify 0 into 0 1.922 * [taylor]: Taking taylor expansion of 0 in R 1.922 * [backup-simplify]: Simplify 0 into 0 1.922 * [taylor]: Taking taylor expansion of 0 in R 1.922 * [backup-simplify]: Simplify 0 into 0 1.922 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 1.923 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)))) into 0 1.923 * [taylor]: Taking taylor expansion of 0 in R 1.923 * [backup-simplify]: Simplify 0 into 0 1.924 * [backup-simplify]: Simplify 0 into 0 1.924 * [backup-simplify]: Simplify 0 into 0 1.924 * [backup-simplify]: Simplify 0 into 0 1.924 * [backup-simplify]: Simplify 0 into 0 1.925 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.926 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))))) into 0 1.926 * [backup-simplify]: Simplify 0 into 0 1.927 * [backup-simplify]: Simplify (* (* -1 (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2))))))) (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))))))) (* (/ 1 (/ 1 (- R))) (* 1 (* 1 (* 1 1))))) into (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R) 1.928 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 1.928 * [backup-simplify]: Simplify (* (sin phi1) (sin phi2)) into (* (sin phi1) (sin phi2)) 1.928 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 1.928 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 1.928 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 1.928 * [taylor]: Taking taylor expansion of phi1 in phi2 1.928 * [backup-simplify]: Simplify phi1 into phi1 1.928 * [backup-simplify]: Simplify (sin phi1) into (sin phi1) 1.928 * [backup-simplify]: Simplify (cos phi1) into (cos phi1) 1.928 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.928 * [taylor]: Taking taylor expansion of phi2 in phi2 1.928 * [backup-simplify]: Simplify 0 into 0 1.928 * [backup-simplify]: Simplify 1 into 1 1.928 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 1.928 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 1.928 * [taylor]: Taking taylor expansion of phi1 in phi1 1.928 * [backup-simplify]: Simplify 0 into 0 1.928 * [backup-simplify]: Simplify 1 into 1 1.928 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 1.928 * [taylor]: Taking taylor expansion of phi2 in phi1 1.928 * [backup-simplify]: Simplify phi2 into phi2 1.928 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 1.928 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 1.928 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 1.928 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 1.928 * [taylor]: Taking taylor expansion of phi1 in phi1 1.928 * [backup-simplify]: Simplify 0 into 0 1.928 * [backup-simplify]: Simplify 1 into 1 1.928 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 1.928 * [taylor]: Taking taylor expansion of phi2 in phi1 1.928 * [backup-simplify]: Simplify phi2 into phi2 1.928 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 1.928 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 1.928 * [backup-simplify]: Simplify (* (sin phi2) 1) into (sin phi2) 1.928 * [backup-simplify]: Simplify (* (cos phi2) 0) into 0 1.929 * [backup-simplify]: Simplify (+ (sin phi2) 0) into (sin phi2) 1.929 * [backup-simplify]: Simplify (* 0 (sin phi2)) into 0 1.929 * [taylor]: Taking taylor expansion of 0 in phi2 1.929 * [backup-simplify]: Simplify 0 into 0 1.929 * [backup-simplify]: Simplify 0 into 0 1.929 * [backup-simplify]: Simplify (+ 0) into 0 1.929 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (* 0 1)) into 0 1.930 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.930 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (* 0 0)) into 0 1.930 * [backup-simplify]: Simplify (+ 0 0) into 0 1.931 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.931 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin phi2))) into (sin phi2) 1.931 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.931 * [taylor]: Taking taylor expansion of phi2 in phi2 1.931 * [backup-simplify]: Simplify 0 into 0 1.931 * [backup-simplify]: Simplify 1 into 1 1.931 * [backup-simplify]: Simplify 0 into 0 1.931 * [backup-simplify]: Simplify 0 into 0 1.932 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.933 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (* 0 1))) into 0 1.933 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.933 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* 0 0))) into 0 1.934 * [backup-simplify]: Simplify (+ 0 0) into 0 1.934 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.935 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin phi2)))) into 0 1.935 * [taylor]: Taking taylor expansion of 0 in phi2 1.935 * [backup-simplify]: Simplify 0 into 0 1.935 * [backup-simplify]: Simplify 0 into 0 1.935 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.935 * [backup-simplify]: Simplify 1 into 1 1.935 * [backup-simplify]: Simplify 0 into 0 1.936 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.936 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.937 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.938 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.938 * [backup-simplify]: Simplify (+ 0 0) into 0 1.939 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 1.939 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin phi2))))) into (- (* 1/6 (sin phi2))) 1.940 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 1.940 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 1.940 * [taylor]: Taking taylor expansion of 1/6 in phi2 1.940 * [backup-simplify]: Simplify 1/6 into 1/6 1.940 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.940 * [taylor]: Taking taylor expansion of phi2 in phi2 1.940 * [backup-simplify]: Simplify 0 into 0 1.940 * [backup-simplify]: Simplify 1 into 1 1.940 * [backup-simplify]: Simplify (* 1/6 0) into 0 1.940 * [backup-simplify]: Simplify (- 0) into 0 1.940 * [backup-simplify]: Simplify 0 into 0 1.940 * [backup-simplify]: Simplify 0 into 0 1.941 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.941 * [backup-simplify]: Simplify 0 into 0 1.941 * [backup-simplify]: Simplify 0 into 0 1.942 * [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 1.943 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.944 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.945 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 1.945 * [backup-simplify]: Simplify (+ 0 0) into 0 1.946 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.947 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin phi2)))))) into 0 1.947 * [taylor]: Taking taylor expansion of 0 in phi2 1.947 * [backup-simplify]: Simplify 0 into 0 1.947 * [backup-simplify]: Simplify 0 into 0 1.947 * [backup-simplify]: Simplify (* 1 (* phi2 phi1)) into (* phi2 phi1) 1.947 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 1.947 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 1.947 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 1.947 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 1.947 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.947 * [taylor]: Taking taylor expansion of phi1 in phi2 1.947 * [backup-simplify]: Simplify phi1 into phi1 1.947 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.947 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 1.947 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 1.947 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 1.947 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.947 * [taylor]: Taking taylor expansion of phi2 in phi2 1.947 * [backup-simplify]: Simplify 0 into 0 1.947 * [backup-simplify]: Simplify 1 into 1 1.947 * [backup-simplify]: Simplify (/ 1 1) into 1 1.948 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 1.948 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 1.948 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 1.948 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.948 * [taylor]: Taking taylor expansion of phi1 in phi1 1.948 * [backup-simplify]: Simplify 0 into 0 1.948 * [backup-simplify]: Simplify 1 into 1 1.948 * [backup-simplify]: Simplify (/ 1 1) into 1 1.948 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 1.948 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 1.948 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.948 * [taylor]: Taking taylor expansion of phi2 in phi1 1.948 * [backup-simplify]: Simplify phi2 into phi2 1.948 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.948 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 1.948 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 1.948 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 1.948 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 1.948 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.948 * [taylor]: Taking taylor expansion of phi1 in phi1 1.948 * [backup-simplify]: Simplify 0 into 0 1.948 * [backup-simplify]: Simplify 1 into 1 1.949 * [backup-simplify]: Simplify (/ 1 1) into 1 1.949 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 1.949 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 1.949 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.949 * [taylor]: Taking taylor expansion of phi2 in phi1 1.949 * [backup-simplify]: Simplify phi2 into phi2 1.949 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.949 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 1.949 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 1.949 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 1) into (sin (/ 1 phi2)) 1.949 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 0) into 0 1.949 * [backup-simplify]: Simplify (+ (sin (/ 1 phi2)) 0) into (sin (/ 1 phi2)) 1.949 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 1.949 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 1.949 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 1.949 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.949 * [taylor]: Taking taylor expansion of phi1 in phi2 1.949 * [backup-simplify]: Simplify phi1 into phi1 1.949 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.949 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 1.949 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 1.949 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 1.949 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.949 * [taylor]: Taking taylor expansion of phi2 in phi2 1.949 * [backup-simplify]: Simplify 0 into 0 1.949 * [backup-simplify]: Simplify 1 into 1 1.950 * [backup-simplify]: Simplify (/ 1 1) into 1 1.950 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 1.950 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 1) into (sin (/ 1 phi1)) 1.950 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 0) into 0 1.950 * [backup-simplify]: Simplify (+ (sin (/ 1 phi1)) 0) into (sin (/ 1 phi1)) 1.950 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 1.950 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 1.950 * [backup-simplify]: Simplify (+ 0) into 0 1.951 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 1)) into 0 1.951 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1.951 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.952 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 0)) into 0 1.952 * [backup-simplify]: Simplify (+ 0 0) into 0 1.952 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 (sin (/ 1 phi2)))) into 0 1.952 * [taylor]: Taking taylor expansion of 0 in phi2 1.952 * [backup-simplify]: Simplify 0 into 0 1.952 * [backup-simplify]: Simplify 0 into 0 1.952 * [backup-simplify]: Simplify (+ 0) into 0 1.953 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 1)) into 0 1.953 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1.953 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.954 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 0)) into 0 1.954 * [backup-simplify]: Simplify (+ 0 0) into 0 1.954 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 (sin (/ 1 phi2)))) into 0 1.954 * [backup-simplify]: Simplify 0 into 0 1.954 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.955 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 1.955 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.955 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.956 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 1.956 * [backup-simplify]: Simplify (+ 0 0) into 0 1.956 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi2))))) into 0 1.956 * [taylor]: Taking taylor expansion of 0 in phi2 1.956 * [backup-simplify]: Simplify 0 into 0 1.957 * [backup-simplify]: Simplify 0 into 0 1.957 * [backup-simplify]: Simplify 0 into 0 1.957 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.958 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 1.958 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1.958 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.959 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 1.959 * [backup-simplify]: Simplify (+ 0 0) into 0 1.959 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi2))))) into 0 1.959 * [backup-simplify]: Simplify 0 into 0 1.960 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.960 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.960 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.961 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.962 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.962 * [backup-simplify]: Simplify (+ 0 0) into 0 1.962 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 phi2)))))) into 0 1.962 * [taylor]: Taking taylor expansion of 0 in phi2 1.962 * [backup-simplify]: Simplify 0 into 0 1.962 * [backup-simplify]: Simplify 0 into 0 1.963 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 phi1))) (sin (/ 1 (/ 1 phi2)))) into (* (sin phi1) (sin phi2)) 1.963 * [backup-simplify]: Simplify (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 1.963 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 1.963 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.963 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 1.963 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.963 * [taylor]: Taking taylor expansion of -1 in phi2 1.963 * [backup-simplify]: Simplify -1 into -1 1.963 * [taylor]: Taking taylor expansion of phi1 in phi2 1.963 * [backup-simplify]: Simplify phi1 into phi1 1.963 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 1.963 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 1.963 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 1.963 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 1.963 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.963 * [taylor]: Taking taylor expansion of -1 in phi2 1.963 * [backup-simplify]: Simplify -1 into -1 1.963 * [taylor]: Taking taylor expansion of phi2 in phi2 1.963 * [backup-simplify]: Simplify 0 into 0 1.963 * [backup-simplify]: Simplify 1 into 1 1.963 * [backup-simplify]: Simplify (/ -1 1) into -1 1.963 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 1.963 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 1.963 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 1.964 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.964 * [taylor]: Taking taylor expansion of -1 in phi1 1.964 * [backup-simplify]: Simplify -1 into -1 1.964 * [taylor]: Taking taylor expansion of phi1 in phi1 1.964 * [backup-simplify]: Simplify 0 into 0 1.964 * [backup-simplify]: Simplify 1 into 1 1.964 * [backup-simplify]: Simplify (/ -1 1) into -1 1.964 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 1.964 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 1.964 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.964 * [taylor]: Taking taylor expansion of -1 in phi1 1.964 * [backup-simplify]: Simplify -1 into -1 1.964 * [taylor]: Taking taylor expansion of phi2 in phi1 1.964 * [backup-simplify]: Simplify phi2 into phi2 1.964 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 1.964 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 1.964 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 1.964 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 1.964 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 1.964 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.964 * [taylor]: Taking taylor expansion of -1 in phi1 1.964 * [backup-simplify]: Simplify -1 into -1 1.964 * [taylor]: Taking taylor expansion of phi1 in phi1 1.964 * [backup-simplify]: Simplify 0 into 0 1.964 * [backup-simplify]: Simplify 1 into 1 1.965 * [backup-simplify]: Simplify (/ -1 1) into -1 1.965 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 1.965 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 1.965 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.965 * [taylor]: Taking taylor expansion of -1 in phi1 1.965 * [backup-simplify]: Simplify -1 into -1 1.965 * [taylor]: Taking taylor expansion of phi2 in phi1 1.965 * [backup-simplify]: Simplify phi2 into phi2 1.965 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 1.965 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 1.965 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 1.965 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 1) into (sin (/ -1 phi2)) 1.965 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 0) into 0 1.965 * [backup-simplify]: Simplify (+ (sin (/ -1 phi2)) 0) into (sin (/ -1 phi2)) 1.965 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 1.965 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.965 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 1.965 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.965 * [taylor]: Taking taylor expansion of -1 in phi2 1.965 * [backup-simplify]: Simplify -1 into -1 1.965 * [taylor]: Taking taylor expansion of phi1 in phi2 1.965 * [backup-simplify]: Simplify phi1 into phi1 1.965 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 1.965 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 1.965 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 1.965 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 1.965 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.965 * [taylor]: Taking taylor expansion of -1 in phi2 1.965 * [backup-simplify]: Simplify -1 into -1 1.966 * [taylor]: Taking taylor expansion of phi2 in phi2 1.966 * [backup-simplify]: Simplify 0 into 0 1.966 * [backup-simplify]: Simplify 1 into 1 1.966 * [backup-simplify]: Simplify (/ -1 1) into -1 1.966 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 1.966 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 1) into (sin (/ -1 phi1)) 1.966 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 0) into 0 1.966 * [backup-simplify]: Simplify (+ (sin (/ -1 phi1)) 0) into (sin (/ -1 phi1)) 1.966 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 1.966 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 1.967 * [backup-simplify]: Simplify (+ 0) into 0 1.967 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 1)) into 0 1.967 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0 1.967 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.968 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 0)) into 0 1.968 * [backup-simplify]: Simplify (+ 0 0) into 0 1.968 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 1.968 * [taylor]: Taking taylor expansion of 0 in phi2 1.968 * [backup-simplify]: Simplify 0 into 0 1.968 * [backup-simplify]: Simplify 0 into 0 1.968 * [backup-simplify]: Simplify (+ 0) into 0 1.969 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 1)) into 0 1.969 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0 1.969 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.970 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 0)) into 0 1.970 * [backup-simplify]: Simplify (+ 0 0) into 0 1.970 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 1.970 * [backup-simplify]: Simplify 0 into 0 1.971 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.971 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 1.971 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.972 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.972 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 1.972 * [backup-simplify]: Simplify (+ 0 0) into 0 1.973 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 1.973 * [taylor]: Taking taylor expansion of 0 in phi2 1.973 * [backup-simplify]: Simplify 0 into 0 1.973 * [backup-simplify]: Simplify 0 into 0 1.973 * [backup-simplify]: Simplify 0 into 0 1.973 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.974 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 1.974 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1.974 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.975 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 1.975 * [backup-simplify]: Simplify (+ 0 0) into 0 1.975 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 1.975 * [backup-simplify]: Simplify 0 into 0 1.976 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.976 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.976 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.978 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.978 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.978 * [backup-simplify]: Simplify (+ 0 0) into 0 1.979 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2)))))) into 0 1.979 * [taylor]: Taking taylor expansion of 0 in phi2 1.979 * [backup-simplify]: Simplify 0 into 0 1.979 * [backup-simplify]: Simplify 0 into 0 1.979 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) into (* (sin phi1) (sin phi2)) 1.979 * * * [progress]: simplifying candidates 1.980 * [simplify]: Simplifying: (expm1 (log (exp (* (sin lambda1) (sin lambda2))))) (log1p (log (exp (* (sin lambda1) (sin lambda2))))) (log (* (cbrt (exp (* (sin lambda1) (sin lambda2)))) (cbrt (exp (* (sin lambda1) (sin lambda2)))))) (log (cbrt (exp (* (sin lambda1) (sin lambda2))))) (log (sqrt (exp (* (sin lambda1) (sin lambda2))))) (log (sqrt (exp (* (sin lambda1) (sin lambda2))))) (log 1) (log (exp (* (sin lambda1) (sin lambda2)))) (log (exp (sin lambda1))) (log (exp (* (sin lambda1) (sin lambda2)))) (log (exp (sin lambda1))) (log (log (exp (* (sin lambda1) (sin lambda2))))) (exp (log (exp (* (sin lambda1) (sin lambda2))))) (* (cbrt (log (exp (* (sin lambda1) (sin lambda2))))) (cbrt (log (exp (* (sin lambda1) (sin lambda2)))))) (cbrt (log (exp (* (sin lambda1) (sin lambda2))))) (* (* (log (exp (* (sin lambda1) (sin lambda2)))) (log (exp (* (sin lambda1) (sin lambda2))))) (log (exp (* (sin lambda1) (sin lambda2))))) (sqrt (log (exp (* (sin lambda1) (sin lambda2))))) (sqrt (log (exp (* (sin lambda1) (sin lambda2))))) (expm1 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (log1p (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (expm1 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) (log1p (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R) (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (log R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (* (* R R) R)) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) 1) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R) (expm1 (* (sin phi1) (sin phi2))) (log1p (* (sin phi1) (sin phi2))) (- (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)) (* lambda2 lambda1) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 1.981 * [simplify]: Sending expressions to egg_math: (expm1 (log (exp (* (sin h1) (sin h0))))) (log1p (log (exp (* (sin h1) (sin h0))))) (log (* (cbrt (exp (* (sin h1) (sin h0)))) (cbrt (exp (* (sin h1) (sin h0)))))) (log (cbrt (exp (* (sin h1) (sin h0))))) (log (sqrt (exp (* (sin h1) (sin h0))))) (log (sqrt (exp (* (sin h1) (sin h0))))) (log 1) (log (exp (* (sin h1) (sin h0)))) (log (exp (sin h1))) (log (exp (* (sin h1) (sin h0)))) (log (exp (sin h1))) (log (log (exp (* (sin h1) (sin h0))))) (exp (log (exp (* (sin h1) (sin h0))))) (* (cbrt (log (exp (* (sin h1) (sin h0))))) (cbrt (log (exp (* (sin h1) (sin h0)))))) (cbrt (log (exp (* (sin h1) (sin h0))))) (* (* (log (exp (* (sin h1) (sin h0)))) (log (exp (* (sin h1) (sin h0))))) (log (exp (* (sin h1) (sin h0))))) (sqrt (log (exp (* (sin h1) (sin h0))))) (sqrt (log (exp (* (sin h1) (sin h0))))) (expm1 (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (log (exp (* (sin h1) (sin h0))))))))) (log1p (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (log (exp (* (sin h1) (sin h0))))))))) (/ h4 2) (asin (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (log (exp (* (sin h1) (sin h0)))))))) (log (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (log (exp (* (sin h1) (sin h0))))))))) (exp (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (log (exp (* (sin h1) (sin h0))))))))) (* (cbrt (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (log (exp (* (sin h1) (sin h0))))))))) (cbrt (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (log (exp (* (sin h1) (sin h0)))))))))) (cbrt (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (log (exp (* (sin h1) (sin h0))))))))) (* (* (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (log (exp (* (sin h1) (sin h0)))))))) (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (log (exp (* (sin h1) (sin h0))))))))) (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (log (exp (* (sin h1) (sin h0))))))))) (sqrt (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (log (exp (* (sin h1) (sin h0))))))))) (sqrt (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (log (exp (* (sin h1) (sin h0))))))))) (expm1 (* (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (log (exp (* (sin h1) (sin h0)))))))) h5)) (log1p (* (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (log (exp (* (sin h1) (sin h0)))))))) h5)) (* (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (log (exp (* (sin h1) (sin h0)))))))) h5) (+ (log (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (log (exp (* (sin h1) (sin h0))))))))) (log h5)) (log (* (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (log (exp (* (sin h1) (sin h0)))))))) h5)) (exp (* (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (log (exp (* (sin h1) (sin h0)))))))) h5)) (* (* (* (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (log (exp (* (sin h1) (sin h0)))))))) (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (log (exp (* (sin h1) (sin h0))))))))) (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (log (exp (* (sin h1) (sin h0))))))))) (* (* h5 h5) h5)) (* (cbrt (* (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (log (exp (* (sin h1) (sin h0)))))))) h5)) (cbrt (* (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (log (exp (* (sin h1) (sin h0)))))))) h5))) (cbrt (* (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (log (exp (* (sin h1) (sin h0)))))))) h5)) (* (* (* (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (log (exp (* (sin h1) (sin h0)))))))) h5) (* (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (log (exp (* (sin h1) (sin h0)))))))) h5)) (* (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (log (exp (* (sin h1) (sin h0)))))))) h5)) (sqrt (* (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (log (exp (* (sin h1) (sin h0)))))))) h5)) (sqrt (* (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (log (exp (* (sin h1) (sin h0)))))))) h5)) (* (sqrt (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (log (exp (* (sin h1) (sin h0))))))))) (sqrt h5)) (* (sqrt (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (log (exp (* (sin h1) (sin h0))))))))) (sqrt h5)) (* (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (log (exp (* (sin h1) (sin h0)))))))) (* (cbrt h5) (cbrt h5))) (* (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (log (exp (* (sin h1) (sin h0)))))))) (sqrt h5)) (* (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (log (exp (* (sin h1) (sin h0)))))))) 1) (* (cbrt (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (log (exp (* (sin h1) (sin h0))))))))) h5) (* (sqrt (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (log (exp (* (sin h1) (sin h0))))))))) h5) (* (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (log (exp (* (sin h1) (sin h0)))))))) h5) (expm1 (* (sin h3) (sin h2))) (log1p (* (sin h3) (sin h2))) (- (cos (- h3 h2)) (cos (+ h3 h2))) (* (sin h3) (sin h2)) (+ (log (sin h3)) (log (sin h2))) (log (* (sin h3) (sin h2))) (exp (* (sin h3) (sin h2))) (* (* (* (sin h3) (sin h3)) (sin h3)) (* (* (sin h2) (sin h2)) (sin h2))) (* (cbrt (* (sin h3) (sin h2))) (cbrt (* (sin h3) (sin h2)))) (cbrt (* (sin h3) (sin h2))) (* (* (* (sin h3) (sin h2)) (* (sin h3) (sin h2))) (* (sin h3) (sin h2))) (sqrt (* (sin h3) (sin h2))) (sqrt (* (sin h3) (sin h2))) (* (sqrt (sin h3)) (sqrt (sin h2))) (* (sqrt (sin h3)) (sqrt (sin h2))) (* (sin h3) (* (cbrt (sin h2)) (cbrt (sin h2)))) (* (sin h3) (sqrt (sin h2))) (* (sin h3) 1) (* (cbrt (sin h3)) (sin h2)) (* (sqrt (sin h3)) (sin h2)) (* (sin h3) (sin h2)) (* h0 h1) (* (sin h1) (sin h0)) (* (sin h1) (sin h0)) (acos (+ (* (sin h3) (sin h2)) (+ (* (cos h1) (* (cos h3) (* (cos h2) (cos h0)))) (* (sin h1) (* (cos h3) (* (cos h2) (sin h0))))))) (acos (+ (* (sin h3) (sin h2)) (+ (* (cos h1) (* (cos h3) (* (cos h2) (cos h0)))) (* (sin h1) (* (cos h3) (* (cos h2) (sin h0))))))) (acos (+ (* (sin h1) (* (cos h3) (* (cos h2) (sin h0)))) (+ (* (cos h1) (* (cos h3) (* (cos h2) (cos h0)))) (* (sin h3) (sin h2))))) (* (acos (+ (* (sin h3) (sin h2)) (+ (* (cos h1) (* (cos h3) (* (cos h2) (cos h0)))) (* (sin h1) (* (cos h3) (* (cos h2) (sin h0))))))) h5) (* (acos (+ (* (sin h3) (sin h2)) (+ (* (cos h1) (* (cos h3) (* (cos h2) (cos h0)))) (* (sin h1) (* (cos h3) (* (cos h2) (sin h0))))))) h5) (* (acos (+ (* (sin h1) (* (cos h3) (* (cos h2) (sin h0)))) (+ (* (cos h1) (* (cos h3) (* (cos h2) (cos h0)))) (* (sin h3) (sin h2))))) h5) (* h2 h3) (* (sin h3) (sin h2)) (* (sin h3) (sin h2)) 1.986 * * [simplify]: iteration 0 : 233 enodes (cost 1094 ) 1.990 * * [simplify]: iteration 1 : 699 enodes (cost 935 ) 2.001 * * [simplify]: iteration 2 : 1610 enodes (cost 935 ) 2.018 * * [simplify]: iteration 3 : 2413 enodes (cost 935 ) 2.043 * * [simplify]: iteration 4 : 5001 enodes (cost 935 ) 2.047 * * * [progress]: adding candidates to table 2.476 * * [progress]: iteration 4 / 4 2.476 * * * [progress]: picking best candidate 2.593 * * * * [pick]: Picked # 2.593 * * * [progress]: localizing error 2.638 * * * [progress]: generating rewritten candidates 2.638 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1 1 2 2 2) 2.642 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 2.644 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 2.650 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 2.654 * * * [progress]: generating series expansions 2.655 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1 1 2 2 2) 2.655 * [backup-simplify]: Simplify (log (exp (* (sin lambda1) (sin lambda2)))) into (* (sin lambda1) (sin lambda2)) 2.655 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0 2.655 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 2.655 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 2.655 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.655 * [backup-simplify]: Simplify lambda1 into lambda1 2.655 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 2.655 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 2.655 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 2.655 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.655 * [backup-simplify]: Simplify 0 into 0 2.655 * [backup-simplify]: Simplify 1 into 1 2.655 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 2.655 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 2.655 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.655 * [backup-simplify]: Simplify 0 into 0 2.655 * [backup-simplify]: Simplify 1 into 1 2.655 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 2.655 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.655 * [backup-simplify]: Simplify lambda2 into lambda2 2.655 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 2.655 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 2.655 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 2.655 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 2.655 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.655 * [backup-simplify]: Simplify 0 into 0 2.655 * [backup-simplify]: Simplify 1 into 1 2.655 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 2.655 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.655 * [backup-simplify]: Simplify lambda2 into lambda2 2.655 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 2.655 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 2.655 * [backup-simplify]: Simplify (* (sin lambda2) 1) into (sin lambda2) 2.655 * [backup-simplify]: Simplify (* (cos lambda2) 0) into 0 2.656 * [backup-simplify]: Simplify (+ (sin lambda2) 0) into (sin lambda2) 2.656 * [backup-simplify]: Simplify (* 0 (sin lambda2)) into 0 2.656 * [taylor]: Taking taylor expansion of 0 in lambda2 2.656 * [backup-simplify]: Simplify 0 into 0 2.656 * [backup-simplify]: Simplify 0 into 0 2.656 * [backup-simplify]: Simplify (+ 0) into 0 2.657 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (* 0 1)) into 0 2.657 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.657 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (* 0 0)) into 0 2.658 * [backup-simplify]: Simplify (+ 0 0) into 0 2.658 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 2.658 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin lambda2))) into (sin lambda2) 2.658 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 2.658 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.658 * [backup-simplify]: Simplify 0 into 0 2.658 * [backup-simplify]: Simplify 1 into 1 2.658 * [backup-simplify]: Simplify 0 into 0 2.658 * [backup-simplify]: Simplify 0 into 0 2.659 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.659 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (* 0 1))) into 0 2.660 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.660 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (* 0 0))) into 0 2.660 * [backup-simplify]: Simplify (+ 0 0) into 0 2.661 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.661 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin lambda2)))) into 0 2.661 * [taylor]: Taking taylor expansion of 0 in lambda2 2.661 * [backup-simplify]: Simplify 0 into 0 2.661 * [backup-simplify]: Simplify 0 into 0 2.662 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 2.662 * [backup-simplify]: Simplify 1 into 1 2.662 * [backup-simplify]: Simplify 0 into 0 2.663 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.663 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.664 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.664 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.665 * [backup-simplify]: Simplify (+ 0 0) into 0 2.665 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 2.666 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin lambda2))))) into (- (* 1/6 (sin lambda2))) 2.666 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin lambda2))) in lambda2 2.666 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2 2.666 * [taylor]: Taking taylor expansion of 1/6 in lambda2 2.666 * [backup-simplify]: Simplify 1/6 into 1/6 2.666 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 2.666 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.666 * [backup-simplify]: Simplify 0 into 0 2.666 * [backup-simplify]: Simplify 1 into 1 2.667 * [backup-simplify]: Simplify (* 1/6 0) into 0 2.667 * [backup-simplify]: Simplify (- 0) into 0 2.667 * [backup-simplify]: Simplify 0 into 0 2.667 * [backup-simplify]: Simplify 0 into 0 2.667 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.667 * [backup-simplify]: Simplify 0 into 0 2.667 * [backup-simplify]: Simplify 0 into 0 2.669 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 2.669 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.670 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 2.670 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 2.671 * [backup-simplify]: Simplify (+ 0 0) into 0 2.671 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 2.672 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin lambda2)))))) into 0 2.672 * [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 (* lambda2 lambda1)) into (* lambda2 lambda1) 2.673 * [backup-simplify]: Simplify (log (exp (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))) into (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) 2.673 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in (lambda1 lambda2) around 0 2.673 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 2.673 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 2.673 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 2.673 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.673 * [backup-simplify]: Simplify lambda1 into lambda1 2.673 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 2.673 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 2.673 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 2.673 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 2.673 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 2.673 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.673 * [backup-simplify]: Simplify 0 into 0 2.673 * [backup-simplify]: Simplify 1 into 1 2.673 * [backup-simplify]: Simplify (/ 1 1) into 1 2.673 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 2.673 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 2.673 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 2.673 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 2.674 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.674 * [backup-simplify]: Simplify 0 into 0 2.674 * [backup-simplify]: Simplify 1 into 1 2.674 * [backup-simplify]: Simplify (/ 1 1) into 1 2.674 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 2.674 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 2.674 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 2.674 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.674 * [backup-simplify]: Simplify lambda2 into lambda2 2.674 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 2.674 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 2.674 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 2.674 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 2.674 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 2.674 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 2.674 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.674 * [backup-simplify]: Simplify 0 into 0 2.674 * [backup-simplify]: Simplify 1 into 1 2.674 * [backup-simplify]: Simplify (/ 1 1) into 1 2.674 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 2.674 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 2.674 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 2.674 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.674 * [backup-simplify]: Simplify lambda2 into lambda2 2.674 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 2.675 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 2.675 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 2.675 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) 1) into (sin (/ 1 lambda2)) 2.675 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) 0) into 0 2.675 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda2)) 0) into (sin (/ 1 lambda2)) 2.675 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) into (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) 2.675 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 2.675 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 2.675 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 2.675 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.675 * [backup-simplify]: Simplify lambda1 into lambda1 2.675 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 2.675 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 2.675 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 2.675 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 2.675 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 2.675 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.675 * [backup-simplify]: Simplify 0 into 0 2.675 * [backup-simplify]: Simplify 1 into 1 2.675 * [backup-simplify]: Simplify (/ 1 1) into 1 2.675 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 2.676 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) 1) into (sin (/ 1 lambda1)) 2.676 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) 0) into 0 2.676 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda1)) 0) into (sin (/ 1 lambda1)) 2.676 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) into (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) 2.676 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) into (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) 2.676 * [backup-simplify]: Simplify (+ 0) into 0 2.676 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 1)) into 0 2.676 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 2.677 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.677 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 0)) into 0 2.677 * [backup-simplify]: Simplify (+ 0 0) into 0 2.678 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 (sin (/ 1 lambda2)))) 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 * [backup-simplify]: Simplify (+ 0) into 0 2.678 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 1)) into 0 2.678 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0 2.679 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.679 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 0)) into 0 2.679 * [backup-simplify]: Simplify (+ 0 0) into 0 2.679 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 (sin (/ 1 lambda2)))) into 0 2.679 * [backup-simplify]: Simplify 0 into 0 2.680 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.680 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 2.680 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 2.681 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.681 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 2.681 * [backup-simplify]: Simplify (+ 0 0) into 0 2.682 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda2))))) into 0 2.682 * [taylor]: Taking taylor expansion of 0 in lambda2 2.682 * [backup-simplify]: Simplify 0 into 0 2.682 * [backup-simplify]: Simplify 0 into 0 2.682 * [backup-simplify]: Simplify 0 into 0 2.682 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.683 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 2.683 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 2.683 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.684 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 2.684 * [backup-simplify]: Simplify (+ 0 0) into 0 2.684 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda2))))) into 0 2.684 * [backup-simplify]: Simplify 0 into 0 2.685 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.685 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.686 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 2.686 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.687 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.687 * [backup-simplify]: Simplify (+ 0 0) into 0 2.688 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda2)))))) into 0 2.688 * [taylor]: Taking taylor expansion of 0 in lambda2 2.688 * [backup-simplify]: Simplify 0 into 0 2.688 * [backup-simplify]: Simplify 0 into 0 2.688 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 lambda1))) (sin (/ 1 (/ 1 lambda2)))) into (* (sin lambda1) (sin lambda2)) 2.688 * [backup-simplify]: Simplify (log (exp (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 2.688 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0 2.688 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 2.688 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 2.688 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 2.688 * [taylor]: Taking taylor expansion of -1 in lambda2 2.688 * [backup-simplify]: Simplify -1 into -1 2.688 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.688 * [backup-simplify]: Simplify lambda1 into lambda1 2.688 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 2.688 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 2.688 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 2.688 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 2.688 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 2.688 * [taylor]: Taking taylor expansion of -1 in lambda2 2.688 * [backup-simplify]: Simplify -1 into -1 2.688 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.688 * [backup-simplify]: Simplify 0 into 0 2.688 * [backup-simplify]: Simplify 1 into 1 2.689 * [backup-simplify]: Simplify (/ -1 1) into -1 2.689 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 2.689 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 2.689 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 2.689 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 2.689 * [taylor]: Taking taylor expansion of -1 in lambda1 2.689 * [backup-simplify]: Simplify -1 into -1 2.689 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.689 * [backup-simplify]: Simplify 0 into 0 2.689 * [backup-simplify]: Simplify 1 into 1 2.689 * [backup-simplify]: Simplify (/ -1 1) into -1 2.689 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 2.689 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 2.689 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 2.689 * [taylor]: Taking taylor expansion of -1 in lambda1 2.689 * [backup-simplify]: Simplify -1 into -1 2.689 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.689 * [backup-simplify]: Simplify lambda2 into lambda2 2.689 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 2.689 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 2.689 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 2.690 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 2.690 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 2.690 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 2.690 * [taylor]: Taking taylor expansion of -1 in lambda1 2.690 * [backup-simplify]: Simplify -1 into -1 2.690 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.690 * [backup-simplify]: Simplify 0 into 0 2.690 * [backup-simplify]: Simplify 1 into 1 2.690 * [backup-simplify]: Simplify (/ -1 1) into -1 2.690 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 2.690 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 2.690 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 2.690 * [taylor]: Taking taylor expansion of -1 in lambda1 2.690 * [backup-simplify]: Simplify -1 into -1 2.690 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.690 * [backup-simplify]: Simplify lambda2 into lambda2 2.690 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 2.690 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 2.690 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 2.690 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) 1) into (sin (/ -1 lambda2)) 2.690 * [backup-simplify]: Simplify (* (cos (/ -1 lambda2)) 0) into 0 2.690 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda2)) 0) into (sin (/ -1 lambda2)) 2.690 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 2.690 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 2.690 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 2.690 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 2.691 * [taylor]: Taking taylor expansion of -1 in lambda2 2.691 * [backup-simplify]: Simplify -1 into -1 2.691 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.691 * [backup-simplify]: Simplify lambda1 into lambda1 2.691 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 2.691 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 2.691 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 2.691 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 2.691 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 2.691 * [taylor]: Taking taylor expansion of -1 in lambda2 2.691 * [backup-simplify]: Simplify -1 into -1 2.691 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.691 * [backup-simplify]: Simplify 0 into 0 2.691 * [backup-simplify]: Simplify 1 into 1 2.691 * [backup-simplify]: Simplify (/ -1 1) into -1 2.691 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 2.691 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) 1) into (sin (/ -1 lambda1)) 2.691 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) 0) into 0 2.691 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda1)) 0) into (sin (/ -1 lambda1)) 2.691 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 2.691 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 2.692 * [backup-simplify]: Simplify (+ 0) into 0 2.692 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 1)) into 0 2.692 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)))) into 0 2.693 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.693 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 0)) into 0 2.693 * [backup-simplify]: Simplify (+ 0 0) into 0 2.693 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 2.693 * [taylor]: Taking taylor expansion of 0 in lambda2 2.693 * [backup-simplify]: Simplify 0 into 0 2.693 * [backup-simplify]: Simplify 0 into 0 2.694 * [backup-simplify]: Simplify (+ 0) into 0 2.694 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 1)) into 0 2.694 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)))) into 0 2.694 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.695 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 0)) into 0 2.695 * [backup-simplify]: Simplify (+ 0 0) into 0 2.695 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 2.695 * [backup-simplify]: Simplify 0 into 0 2.695 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.696 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 2.696 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 2.696 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.697 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 2.697 * [backup-simplify]: Simplify (+ 0 0) into 0 2.698 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 2.698 * [taylor]: Taking taylor expansion of 0 in lambda2 2.698 * [backup-simplify]: Simplify 0 into 0 2.698 * [backup-simplify]: Simplify 0 into 0 2.698 * [backup-simplify]: Simplify 0 into 0 2.698 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.699 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 2.699 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 2.699 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.699 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 2.700 * [backup-simplify]: Simplify (+ 0 0) into 0 2.700 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 2.700 * [backup-simplify]: Simplify 0 into 0 2.701 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.701 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.701 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 2.702 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.702 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.703 * [backup-simplify]: Simplify (+ 0 0) into 0 2.703 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2)))))) into 0 2.703 * [taylor]: Taking taylor expansion of 0 in lambda2 2.703 * [backup-simplify]: Simplify 0 into 0 2.703 * [backup-simplify]: Simplify 0 into 0 2.703 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- lambda1)))) (sin (/ -1 (/ 1 (- lambda2))))) into (* (sin lambda1) (sin lambda2)) 2.703 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 2.704 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) 2.704 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.704 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 2.704 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) 2.704 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 2.705 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) 2.705 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 2.705 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) 2.705 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 2.705 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) 2.706 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 2.706 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) 2.706 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 2.706 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) 2.706 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 2.707 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) 2.707 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 2.707 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) 2.708 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) 2.708 * [taylor]: Taking taylor expansion of 0 in phi2 2.708 * [backup-simplify]: Simplify 0 into 0 2.708 * [taylor]: Taking taylor expansion of 0 in lambda1 2.708 * [backup-simplify]: Simplify 0 into 0 2.708 * [taylor]: Taking taylor expansion of 0 in lambda2 2.708 * [backup-simplify]: Simplify 0 into 0 2.708 * [backup-simplify]: Simplify 0 into 0 2.708 * [taylor]: Taking taylor expansion of 0 in lambda1 2.708 * [backup-simplify]: Simplify 0 into 0 2.708 * [taylor]: Taking taylor expansion of 0 in lambda2 2.708 * [backup-simplify]: Simplify 0 into 0 2.708 * [backup-simplify]: Simplify 0 into 0 2.708 * [taylor]: Taking taylor expansion of 0 in lambda2 2.708 * [backup-simplify]: Simplify 0 into 0 2.708 * [backup-simplify]: Simplify 0 into 0 2.708 * [backup-simplify]: Simplify 0 into 0 2.708 * [taylor]: Taking taylor expansion of 0 in phi2 2.708 * [backup-simplify]: Simplify 0 into 0 2.708 * [taylor]: Taking taylor expansion of 0 in lambda1 2.708 * [backup-simplify]: Simplify 0 into 0 2.708 * [taylor]: Taking taylor expansion of 0 in lambda2 2.708 * [backup-simplify]: Simplify 0 into 0 2.708 * [backup-simplify]: Simplify 0 into 0 2.708 * [taylor]: Taking taylor expansion of 0 in lambda1 2.708 * [backup-simplify]: Simplify 0 into 0 2.708 * [taylor]: Taking taylor expansion of 0 in lambda2 2.708 * [backup-simplify]: Simplify 0 into 0 2.708 * [backup-simplify]: Simplify 0 into 0 2.708 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) 2.709 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (log (exp (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 2.709 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.709 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 2.714 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 2.714 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 2.715 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 2.715 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 2.715 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 2.715 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 2.716 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 2.716 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 2.716 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 2.716 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 2.717 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 2.717 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 2.717 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 2.717 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 2.718 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 2.718 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 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 2.719 * [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 * [taylor]: Taking taylor expansion of 0 in lambda1 2.719 * [backup-simplify]: Simplify 0 into 0 2.719 * [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 * [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 0 into 0 2.719 * [taylor]: Taking taylor expansion of 0 in phi2 2.719 * [backup-simplify]: Simplify 0 into 0 2.719 * [taylor]: Taking taylor expansion of 0 in lambda1 2.719 * [backup-simplify]: Simplify 0 into 0 2.719 * [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 * [taylor]: Taking taylor expansion of 0 in lambda1 2.719 * [backup-simplify]: Simplify 0 into 0 2.719 * [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 (acos (+ (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 phi1))) (cos (/ 1 (/ 1 lambda1)))))) (+ (* (sin (/ 1 (/ 1 phi1))) (sin (/ 1 (/ 1 phi2)))) (* (sin (/ 1 (/ 1 lambda1))) (* (sin (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi2))) (cos (/ 1 (/ 1 phi1))))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) 2.720 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (log (exp (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 2.720 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0 2.720 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 2.721 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 2.721 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 2.721 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 2.721 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 2.722 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 2.722 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 2.722 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 2.722 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 2.723 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 2.723 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 2.724 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 2.724 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 2.724 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 2.724 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 2.725 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 2.725 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 2.725 * [taylor]: Taking taylor expansion of 0 in phi2 2.725 * [backup-simplify]: Simplify 0 into 0 2.725 * [taylor]: Taking taylor expansion of 0 in lambda1 2.725 * [backup-simplify]: Simplify 0 into 0 2.725 * [taylor]: Taking taylor expansion of 0 in lambda2 2.725 * [backup-simplify]: Simplify 0 into 0 2.725 * [backup-simplify]: Simplify 0 into 0 2.725 * [taylor]: Taking taylor expansion of 0 in lambda1 2.725 * [backup-simplify]: Simplify 0 into 0 2.725 * [taylor]: Taking taylor expansion of 0 in lambda2 2.726 * [backup-simplify]: Simplify 0 into 0 2.726 * [backup-simplify]: Simplify 0 into 0 2.726 * [taylor]: Taking taylor expansion of 0 in lambda2 2.726 * [backup-simplify]: Simplify 0 into 0 2.726 * [backup-simplify]: Simplify 0 into 0 2.726 * [backup-simplify]: Simplify 0 into 0 2.726 * [taylor]: Taking taylor expansion of 0 in phi2 2.726 * [backup-simplify]: Simplify 0 into 0 2.726 * [taylor]: Taking taylor expansion of 0 in lambda1 2.726 * [backup-simplify]: Simplify 0 into 0 2.726 * [taylor]: Taking taylor expansion of 0 in lambda2 2.726 * [backup-simplify]: Simplify 0 into 0 2.726 * [backup-simplify]: Simplify 0 into 0 2.726 * [taylor]: Taking taylor expansion of 0 in lambda1 2.726 * [backup-simplify]: Simplify 0 into 0 2.726 * [taylor]: Taking taylor expansion of 0 in lambda2 2.726 * [backup-simplify]: Simplify 0 into 0 2.726 * [backup-simplify]: Simplify 0 into 0 2.726 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2))))))) (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2)))))))) into (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 2.727 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 2.727 * [backup-simplify]: Simplify (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) 2.727 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.727 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 2.728 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) 2.728 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 2.728 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) 2.728 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 2.728 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) 2.728 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 2.729 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) 2.729 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 2.729 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) 2.729 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 2.729 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) 2.729 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 2.730 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) 2.730 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 2.730 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) 2.731 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) 2.731 * [taylor]: Taking taylor expansion of 0 in phi2 2.731 * [backup-simplify]: Simplify 0 into 0 2.731 * [taylor]: Taking taylor expansion of 0 in lambda1 2.731 * [backup-simplify]: Simplify 0 into 0 2.731 * [taylor]: Taking taylor expansion of 0 in lambda2 2.731 * [backup-simplify]: Simplify 0 into 0 2.731 * [backup-simplify]: Simplify 0 into 0 2.731 * [taylor]: Taking taylor expansion of 0 in lambda1 2.731 * [backup-simplify]: Simplify 0 into 0 2.731 * [taylor]: Taking taylor expansion of 0 in lambda2 2.731 * [backup-simplify]: Simplify 0 into 0 2.731 * [backup-simplify]: Simplify 0 into 0 2.731 * [taylor]: Taking taylor expansion of 0 in lambda2 2.731 * [backup-simplify]: Simplify 0 into 0 2.731 * [backup-simplify]: Simplify 0 into 0 2.731 * [backup-simplify]: Simplify 0 into 0 2.731 * [taylor]: Taking taylor expansion of 0 in phi2 2.731 * [backup-simplify]: Simplify 0 into 0 2.731 * [taylor]: Taking taylor expansion of 0 in lambda1 2.731 * [backup-simplify]: Simplify 0 into 0 2.731 * [taylor]: Taking taylor expansion of 0 in lambda2 2.731 * [backup-simplify]: Simplify 0 into 0 2.731 * [backup-simplify]: Simplify 0 into 0 2.731 * [taylor]: Taking taylor expansion of 0 in lambda1 2.731 * [backup-simplify]: Simplify 0 into 0 2.731 * [taylor]: Taking taylor expansion of 0 in lambda2 2.731 * [backup-simplify]: Simplify 0 into 0 2.731 * [backup-simplify]: Simplify 0 into 0 2.731 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) 2.732 * [backup-simplify]: Simplify (log (exp (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (log (exp (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 2.732 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.732 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 2.733 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 2.733 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 2.733 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 2.733 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 2.734 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 2.734 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 2.734 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 2.734 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 2.735 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 2.735 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 2.735 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 2.735 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 2.736 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 2.736 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 2.736 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 2.737 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 2.737 * [taylor]: Taking taylor expansion of 0 in phi2 2.737 * [backup-simplify]: Simplify 0 into 0 2.737 * [taylor]: Taking taylor expansion of 0 in lambda1 2.737 * [backup-simplify]: Simplify 0 into 0 2.737 * [taylor]: Taking taylor expansion of 0 in lambda2 2.737 * [backup-simplify]: Simplify 0 into 0 2.737 * [backup-simplify]: Simplify 0 into 0 2.737 * [taylor]: Taking taylor expansion of 0 in lambda1 2.737 * [backup-simplify]: Simplify 0 into 0 2.737 * [taylor]: Taking taylor expansion of 0 in lambda2 2.737 * [backup-simplify]: Simplify 0 into 0 2.737 * [backup-simplify]: Simplify 0 into 0 2.737 * [taylor]: Taking taylor expansion of 0 in lambda2 2.737 * [backup-simplify]: Simplify 0 into 0 2.737 * [backup-simplify]: Simplify 0 into 0 2.737 * [backup-simplify]: Simplify 0 into 0 2.737 * [taylor]: Taking taylor expansion of 0 in phi2 2.737 * [backup-simplify]: Simplify 0 into 0 2.737 * [taylor]: Taking taylor expansion of 0 in lambda1 2.737 * [backup-simplify]: Simplify 0 into 0 2.737 * [taylor]: Taking taylor expansion of 0 in lambda2 2.737 * [backup-simplify]: Simplify 0 into 0 2.737 * [backup-simplify]: Simplify 0 into 0 2.737 * [taylor]: Taking taylor expansion of 0 in lambda1 2.737 * [backup-simplify]: Simplify 0 into 0 2.737 * [taylor]: Taking taylor expansion of 0 in lambda2 2.737 * [backup-simplify]: Simplify 0 into 0 2.737 * [backup-simplify]: Simplify 0 into 0 2.738 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 phi1))) (cos (/ 1 (/ 1 lambda1)))))) (+ (* (sin (/ 1 (/ 1 phi1))) (sin (/ 1 (/ 1 phi2)))) (* (sin (/ 1 (/ 1 lambda1))) (* (sin (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi2))) (cos (/ 1 (/ 1 phi1))))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) 2.739 * [backup-simplify]: Simplify (log (exp (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (log (exp (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 2.739 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0 2.739 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 2.739 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 2.739 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 2.740 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 2.740 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 2.740 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 2.740 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 2.741 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 2.741 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 2.741 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 2.741 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 2.742 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 2.742 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 2.742 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 2.742 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 2.743 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 2.743 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 2.744 * [taylor]: Taking taylor expansion of 0 in phi2 2.744 * [backup-simplify]: Simplify 0 into 0 2.744 * [taylor]: Taking taylor expansion of 0 in lambda1 2.744 * [backup-simplify]: Simplify 0 into 0 2.744 * [taylor]: Taking taylor expansion of 0 in lambda2 2.744 * [backup-simplify]: Simplify 0 into 0 2.744 * [backup-simplify]: Simplify 0 into 0 2.744 * [taylor]: Taking taylor expansion of 0 in lambda1 2.744 * [backup-simplify]: Simplify 0 into 0 2.744 * [taylor]: Taking taylor expansion of 0 in lambda2 2.744 * [backup-simplify]: Simplify 0 into 0 2.744 * [backup-simplify]: Simplify 0 into 0 2.744 * [taylor]: Taking taylor expansion of 0 in lambda2 2.744 * [backup-simplify]: Simplify 0 into 0 2.744 * [backup-simplify]: Simplify 0 into 0 2.744 * [backup-simplify]: Simplify 0 into 0 2.744 * [taylor]: Taking taylor expansion of 0 in phi2 2.744 * [backup-simplify]: Simplify 0 into 0 2.744 * [taylor]: Taking taylor expansion of 0 in lambda1 2.744 * [backup-simplify]: Simplify 0 into 0 2.744 * [taylor]: Taking taylor expansion of 0 in lambda2 2.744 * [backup-simplify]: Simplify 0 into 0 2.744 * [backup-simplify]: Simplify 0 into 0 2.744 * [taylor]: Taking taylor expansion of 0 in lambda1 2.744 * [backup-simplify]: Simplify 0 into 0 2.744 * [taylor]: Taking taylor expansion of 0 in lambda2 2.744 * [backup-simplify]: Simplify 0 into 0 2.744 * [backup-simplify]: Simplify 0 into 0 2.745 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2))))))) (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2)))))))) into (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 2.745 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 2.745 * [backup-simplify]: Simplify (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (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)))))))) 2.745 * [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 2.745 * [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 2.745 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 2.746 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) 2.746 * [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)))))))) 2.746 * [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 2.746 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 2.747 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) 2.747 * [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)))))))) 2.747 * [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 2.747 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 2.748 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) 2.748 * [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)))))))) 2.748 * [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 2.748 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 2.749 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) 2.749 * [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)))))))) 2.749 * [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 2.749 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 2.749 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) 2.750 * [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)))))))) 2.750 * [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 2.750 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 2.750 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) 2.751 * [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)))))))) 2.751 * [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 2.751 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 2.751 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) 2.751 * [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)))))))) 2.751 * [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 2.751 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 2.752 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) 2.752 * [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)))))))) 2.753 * [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)))))))) 2.754 * [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 2.754 * [taylor]: Taking taylor expansion of 0 in phi2 2.754 * [backup-simplify]: Simplify 0 into 0 2.754 * [taylor]: Taking taylor expansion of 0 in lambda1 2.754 * [backup-simplify]: Simplify 0 into 0 2.754 * [taylor]: Taking taylor expansion of 0 in lambda2 2.754 * [backup-simplify]: Simplify 0 into 0 2.754 * [backup-simplify]: Simplify 0 into 0 2.755 * [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 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 (* (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 2.756 * [taylor]: Taking taylor expansion of 0 in lambda2 2.756 * [backup-simplify]: Simplify 0 into 0 2.756 * [backup-simplify]: Simplify 0 into 0 2.757 * [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 2.757 * [backup-simplify]: Simplify 0 into 0 2.758 * [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 2.758 * [taylor]: Taking taylor expansion of 0 in phi2 2.758 * [backup-simplify]: Simplify 0 into 0 2.758 * [taylor]: Taking taylor expansion of 0 in lambda1 2.758 * [backup-simplify]: Simplify 0 into 0 2.758 * [taylor]: Taking taylor expansion of 0 in lambda2 2.758 * [backup-simplify]: Simplify 0 into 0 2.758 * [backup-simplify]: Simplify 0 into 0 2.758 * [taylor]: Taking taylor expansion of 0 in lambda1 2.758 * [backup-simplify]: Simplify 0 into 0 2.758 * [taylor]: Taking taylor expansion of 0 in lambda2 2.759 * [backup-simplify]: Simplify 0 into 0 2.759 * [backup-simplify]: Simplify 0 into 0 2.759 * [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)))))))) 2.760 * [backup-simplify]: Simplify (exp (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (log (exp (* (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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) 2.760 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.760 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda2 2.760 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 2.760 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 2.761 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) into (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) 2.761 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda1 2.761 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 2.761 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 2.762 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) into (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) 2.762 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi2 2.762 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 2.762 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 2.763 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) into (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) 2.763 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi1 2.763 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 2.763 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 2.764 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) into (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) 2.764 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi1 2.764 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 2.764 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 2.765 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) into (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) 2.765 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi2 2.765 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 2.765 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 2.766 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) into (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) 2.766 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda1 2.766 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 2.766 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 2.767 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) into (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) 2.767 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda2 2.767 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 2.767 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 2.768 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) into (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) 2.768 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) into (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) 2.770 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.770 * [taylor]: Taking taylor expansion of 0 in phi2 2.770 * [backup-simplify]: Simplify 0 into 0 2.770 * [taylor]: Taking taylor expansion of 0 in lambda1 2.770 * [backup-simplify]: Simplify 0 into 0 2.770 * [taylor]: Taking taylor expansion of 0 in lambda2 2.770 * [backup-simplify]: Simplify 0 into 0 2.770 * [backup-simplify]: Simplify 0 into 0 2.771 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.771 * [taylor]: Taking taylor expansion of 0 in lambda1 2.771 * [backup-simplify]: Simplify 0 into 0 2.771 * [taylor]: Taking taylor expansion of 0 in lambda2 2.771 * [backup-simplify]: Simplify 0 into 0 2.771 * [backup-simplify]: Simplify 0 into 0 2.772 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.772 * [taylor]: Taking taylor expansion of 0 in lambda2 2.772 * [backup-simplify]: Simplify 0 into 0 2.772 * [backup-simplify]: Simplify 0 into 0 2.773 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.773 * [backup-simplify]: Simplify 0 into 0 2.774 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.774 * [taylor]: Taking taylor expansion of 0 in phi2 2.774 * [backup-simplify]: Simplify 0 into 0 2.775 * [taylor]: Taking taylor expansion of 0 in lambda1 2.775 * [backup-simplify]: Simplify 0 into 0 2.775 * [taylor]: Taking taylor expansion of 0 in lambda2 2.775 * [backup-simplify]: Simplify 0 into 0 2.775 * [backup-simplify]: Simplify 0 into 0 2.775 * [taylor]: Taking taylor expansion of 0 in lambda1 2.775 * [backup-simplify]: Simplify 0 into 0 2.775 * [taylor]: Taking taylor expansion of 0 in lambda2 2.775 * [backup-simplify]: Simplify 0 into 0 2.775 * [backup-simplify]: Simplify 0 into 0 2.775 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 phi1))) (cos (/ 1 (/ 1 lambda1)))))) (+ (* (sin (/ 1 (/ 1 phi1))) (sin (/ 1 (/ 1 phi2)))) (* (sin (/ 1 (/ 1 lambda1))) (* (sin (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi2))) (cos (/ 1 (/ 1 phi1)))))))))) into (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) 2.776 * [backup-simplify]: Simplify (exp (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (log (exp (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) 2.776 * [approximate]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.776 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda2 2.776 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 2.777 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 2.777 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) 2.777 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda1 2.777 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 2.778 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 2.778 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) 2.778 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi2 2.778 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 2.779 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 2.779 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) 2.779 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi1 2.779 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 2.780 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 2.780 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) 2.780 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi1 2.780 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 2.781 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 2.781 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) 2.781 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi2 2.781 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 2.782 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 2.782 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) 2.782 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda1 2.782 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 2.783 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 2.783 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) 2.783 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda2 2.783 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 2.784 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 2.784 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) 2.785 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) 2.786 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.786 * [taylor]: Taking taylor expansion of 0 in phi2 2.786 * [backup-simplify]: Simplify 0 into 0 2.786 * [taylor]: Taking taylor expansion of 0 in lambda1 2.786 * [backup-simplify]: Simplify 0 into 0 2.786 * [taylor]: Taking taylor expansion of 0 in lambda2 2.786 * [backup-simplify]: Simplify 0 into 0 2.786 * [backup-simplify]: Simplify 0 into 0 2.787 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.787 * [taylor]: Taking taylor expansion of 0 in lambda1 2.787 * [backup-simplify]: Simplify 0 into 0 2.787 * [taylor]: Taking taylor expansion of 0 in lambda2 2.787 * [backup-simplify]: Simplify 0 into 0 2.788 * [backup-simplify]: Simplify 0 into 0 2.789 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.789 * [taylor]: Taking taylor expansion of 0 in lambda2 2.789 * [backup-simplify]: Simplify 0 into 0 2.789 * [backup-simplify]: Simplify 0 into 0 2.790 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.790 * [backup-simplify]: Simplify 0 into 0 2.791 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.791 * [taylor]: Taking taylor expansion of 0 in phi2 2.791 * [backup-simplify]: Simplify 0 into 0 2.791 * [taylor]: Taking taylor expansion of 0 in lambda1 2.791 * [backup-simplify]: Simplify 0 into 0 2.791 * [taylor]: Taking taylor expansion of 0 in lambda2 2.791 * [backup-simplify]: Simplify 0 into 0 2.791 * [backup-simplify]: Simplify 0 into 0 2.791 * [taylor]: Taking taylor expansion of 0 in lambda1 2.791 * [backup-simplify]: Simplify 0 into 0 2.791 * [taylor]: Taking taylor expansion of 0 in lambda2 2.791 * [backup-simplify]: Simplify 0 into 0 2.791 * [backup-simplify]: Simplify 0 into 0 2.792 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2))))))) (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))))))) into (exp (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 2.792 * * * [progress]: simplifying candidates 2.793 * [simplify]: Simplifying: (expm1 (log (exp (* (sin lambda1) (sin lambda2))))) (log1p (log (exp (* (sin lambda1) (sin lambda2))))) (log (* (cbrt (exp (* (sin lambda1) (sin lambda2)))) (cbrt (exp (* (sin lambda1) (sin lambda2)))))) (log (cbrt (exp (* (sin lambda1) (sin lambda2))))) (log (sqrt (exp (* (sin lambda1) (sin lambda2))))) (log (sqrt (exp (* (sin lambda1) (sin lambda2))))) (log 1) (log (exp (* (sin lambda1) (sin lambda2)))) (log (exp (sin lambda1))) (log (exp (* (sin lambda1) (sin lambda2)))) (log (exp (sin lambda1))) (log (log (exp (* (sin lambda1) (sin lambda2))))) (exp (log (exp (* (sin lambda1) (sin lambda2))))) (* (cbrt (log (exp (* (sin lambda1) (sin lambda2))))) (cbrt (log (exp (* (sin lambda1) (sin lambda2)))))) (cbrt (log (exp (* (sin lambda1) (sin lambda2))))) (* (* (log (exp (* (sin lambda1) (sin lambda2)))) (log (exp (* (sin lambda1) (sin lambda2))))) (log (exp (* (sin lambda1) (sin lambda2))))) (sqrt (log (exp (* (sin lambda1) (sin lambda2))))) (sqrt (log (exp (* (sin lambda1) (sin lambda2))))) (expm1 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (log1p (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (expm1 (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))))) (log1p (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))))) (log (* (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))))) (log (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))))) (log (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))))) (log (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))))) (log 1) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) (log (exp (/ PI 2))) (log (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) (log (exp (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))))) (log (exp (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))))) (log (exp 1)) (log (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))))) (exp (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))))) (* (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))))) (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))))) (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))))) (* (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))))) (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))))) (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))))) (expm1 (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) (log1p (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) (exp (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))))) (exp (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) (exp 1) (exp (/ PI 2)) (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) (exp (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) (* (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) (* (* (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) (* lambda2 lambda1) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (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 lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 2.796 * [simplify]: Sending expressions to egg_math: (expm1 (log (exp (* (sin h1) (sin h0))))) (log1p (log (exp (* (sin h1) (sin h0))))) (log (* (cbrt (exp (* (sin h1) (sin h0)))) (cbrt (exp (* (sin h1) (sin h0)))))) (log (cbrt (exp (* (sin h1) (sin h0))))) (log (sqrt (exp (* (sin h1) (sin h0))))) (log (sqrt (exp (* (sin h1) (sin h0))))) (log 1) (log (exp (* (sin h1) (sin h0)))) (log (exp (sin h1))) (log (exp (* (sin h1) (sin h0)))) (log (exp (sin h1))) (log (log (exp (* (sin h1) (sin h0))))) (exp (log (exp (* (sin h1) (sin h0))))) (* (cbrt (log (exp (* (sin h1) (sin h0))))) (cbrt (log (exp (* (sin h1) (sin h0)))))) (cbrt (log (exp (* (sin h1) (sin h0))))) (* (* (log (exp (* (sin h1) (sin h0)))) (log (exp (* (sin h1) (sin h0))))) (log (exp (* (sin h1) (sin h0))))) (sqrt (log (exp (* (sin h1) (sin h0))))) (sqrt (log (exp (* (sin h1) (sin h0))))) (expm1 (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (log (exp (* (sin h1) (sin h0))))))))) (log1p (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (log (exp (* (sin h1) (sin h0))))))))) (/ h4 2) (asin (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (log (exp (* (sin h1) (sin h0)))))))) (log (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (log (exp (* (sin h1) (sin h0))))))))) (exp (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (log (exp (* (sin h1) (sin h0))))))))) (* (cbrt (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (log (exp (* (sin h1) (sin h0))))))))) (cbrt (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (log (exp (* (sin h1) (sin h0)))))))))) (cbrt (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (log (exp (* (sin h1) (sin h0))))))))) (* (* (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (log (exp (* (sin h1) (sin h0)))))))) (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (log (exp (* (sin h1) (sin h0))))))))) (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (log (exp (* (sin h1) (sin h0))))))))) (sqrt (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (log (exp (* (sin h1) (sin h0))))))))) (sqrt (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (log (exp (* (sin h1) (sin h0))))))))) (expm1 (log (exp (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (log (exp (* (sin h1) (sin h0))))))))))) (log1p (log (exp (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (log (exp (* (sin h1) (sin h0))))))))))) (log (* (cbrt (exp (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (log (exp (* (sin h1) (sin h0)))))))))) (cbrt (exp (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (log (exp (* (sin h1) (sin h0)))))))))))) (log (cbrt (exp (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (log (exp (* (sin h1) (sin h0))))))))))) (log (sqrt (exp (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (log (exp (* (sin h1) (sin h0))))))))))) (log (sqrt (exp (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (log (exp (* (sin h1) (sin h0))))))))))) (log 1) (log (exp (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (log (exp (* (sin h1) (sin h0)))))))))) (log (exp (/ h4 2))) (log (exp (asin (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (log (exp (* (sin h1) (sin h0)))))))))) (log (exp (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (log (exp (* (sin h1) (sin h0)))))))))) (log (exp (* (cbrt (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (log (exp (* (sin h1) (sin h0))))))))) (cbrt (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (log (exp (* (sin h1) (sin h0)))))))))))) (log (exp (sqrt (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (log (exp (* (sin h1) (sin h0))))))))))) (log (exp 1)) (log (log (exp (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (log (exp (* (sin h1) (sin h0))))))))))) (exp (log (exp (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (log (exp (* (sin h1) (sin h0))))))))))) (* (cbrt (log (exp (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (log (exp (* (sin h1) (sin h0))))))))))) (cbrt (log (exp (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (log (exp (* (sin h1) (sin h0)))))))))))) (cbrt (log (exp (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (log (exp (* (sin h1) (sin h0))))))))))) (* (* (log (exp (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (log (exp (* (sin h1) (sin h0)))))))))) (log (exp (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (log (exp (* (sin h1) (sin h0))))))))))) (log (exp (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (log (exp (* (sin h1) (sin h0))))))))))) (sqrt (log (exp (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (log (exp (* (sin h1) (sin h0))))))))))) (sqrt (log (exp (acos (+ (* (sin h3) (sin 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(exp (* (sin h1) (sin h0)))))))))) (exp (exp (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (log (exp (* (sin h1) (sin h0)))))))))) (* (cbrt (exp (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (log (exp (* (sin h1) (sin h0)))))))))) (cbrt (exp (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (log (exp (* (sin h1) (sin h0))))))))))) (cbrt (exp (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (log (exp (* (sin h1) (sin h0)))))))))) (* (* (exp (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (log (exp (* (sin h1) (sin h0))))))))) (exp (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (log (exp (* (sin h1) (sin h0)))))))))) (exp (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (log (exp (* (sin h1) (sin h0)))))))))) (sqrt (exp (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (log (exp (* (sin h1) (sin h0)))))))))) (sqrt (exp (acos (+ (* (sin h3) (sin h2)) (* (* (cos h3) (cos h2)) (+ (* (cos h1) (cos h0)) (log (exp (* (sin h1) (sin h0)))))))))) (* h0 h1) (* (sin h1) (sin h0)) (* (sin h1) (sin h0)) (acos (+ (* (sin h3) (sin h2)) (+ (* (cos h1) (* (cos h3) (* (cos h2) (cos h0)))) (* (sin h1) (* (cos h3) (* (cos h2) (sin h0))))))) (acos (+ (* (sin h3) (sin h2)) (+ (* (cos h1) (* (cos h3) (* (cos h2) (cos h0)))) (* (sin h1) (* (cos h3) (* (cos h2) (sin h0))))))) (acos (+ (* (sin h1) (* (cos h3) (* (cos h2) (sin h0)))) (+ (* (cos h1) (* (cos h3) (* (cos h2) (cos h0)))) (* (sin h3) (sin h2))))) (acos (+ (* (sin h3) (sin h2)) (+ (* (cos h1) (* (cos h3) (* (cos h2) (cos h0)))) (* (sin h1) (* (cos h3) (* (cos h2) (sin h0))))))) (acos (+ (* (sin h3) (sin h2)) (+ (* (cos h1) (* (cos h3) (* (cos h2) (cos h0)))) (* (sin h1) (* (cos h3) (* (cos h2) (sin h0))))))) (acos (+ (* (sin h1) (* (cos h3) (* (cos h2) (sin h0)))) (+ (* (cos h1) (* (cos h3) (* (cos h2) (cos h0)))) (* (sin h3) (sin h2))))) (exp (acos (+ (* (sin h3) (sin h2)) (+ (* (cos h1) (* (cos h3) (* (cos h2) (cos h0)))) (* (sin h1) (* (cos h3) (* (cos h2) (sin h0)))))))) (exp (acos (+ (* (sin h3) (sin h2)) (+ (* (cos h1) (* (cos h3) (* (cos h2) (cos h0)))) (* (sin h1) (* (cos h3) (* (cos h2) (sin h0)))))))) (exp (acos (+ (* (sin h1) (* (cos h3) (* (cos h2) (sin h0)))) (+ (* (cos h1) (* (cos h3) (* (cos h2) (cos h0)))) (* (sin h3) (sin h2)))))) 2.801 * * [simplify]: iteration 0 : 156 enodes (cost 1309 ) 2.804 * * [simplify]: iteration 1 : 326 enodes (cost 1140 ) 2.809 * * [simplify]: iteration 2 : 686 enodes (cost 1140 ) 2.815 * * [simplify]: iteration 3 : 1000 enodes (cost 1140 ) 2.825 * * [simplify]: iteration 4 : 1956 enodes (cost 1140 ) 2.852 * * [simplify]: iteration 5 : 5001 enodes (cost 1136 ) 2.856 * * * [progress]: adding candidates to table 3.253 * [progress]: [Phase 3 of 3] Extracting. 3.253 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # # # # #) 3.275 * * * [regime-changes]: Trying 10 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))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) phi2 phi1 lambda2 lambda1 R) 3.275 * * * * [regimes]: Trying to branch on (- lambda1 lambda2) from (# # # # # # # # # # # # # # # # # #) 3.408 * * * * [regimes]: Trying to branch on (- lambda1 lambda2) from (# #) 3.428 * * * * [regimes]: Trying to branch on (cos (- lambda1 lambda2)) from (# # # # # # # # # # # # # # # # # #) 3.563 * * * * [regimes]: Trying to branch on (cos (- lambda1 lambda2)) from (# #) 3.586 * * * * [regimes]: Trying to branch on (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) from (# # # # # # # # # # # # # # # # # #) 3.735 * * * * [regimes]: Trying to branch on (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) from (# #) 3.774 * * * * [regimes]: Trying to branch on (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) from (# # # # # # # # # # # # # # # # # #) 3.927 * * * * [regimes]: Trying to branch on (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) from (# #) 3.967 * * * * [regimes]: Trying to branch on (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) from (# # # # # # # # # # # # # # # # # #) 4.119 * * * * [regimes]: Trying to branch on phi2 from (# # # # # # # # # # # # # # # # # #) 4.252 * * * * [regimes]: Trying to branch on phi1 from (# # # # # # # # # # # # # # # # # #) 4.383 * * * * [regimes]: Trying to branch on lambda2 from (# # # # # # # # # # # # # # # # # #) 4.516 * * * * [regimes]: Trying to branch on lambda1 from (# # # # # # # # # # # # # # # # # #) 4.647 * * * * [regimes]: Trying to branch on R from (# # # # # # # # # # # # # # # # # #) 4.781 * * * [regime]: Found split indices: #