6.600 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.250 * * * [progress]: [2/2] Setting up program. 0.255 * [progress]: [Phase 2 of 3] Improving. 0.255 * [simplify]: Simplifying: (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 0.255 * [simplify]: Sending expressions to egg_math: (* (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (cos (- h2 h3))))) h4) 0.257 * * [simplify]: iteration 0 : 27 enodes (cost 12 ) 0.258 * * [simplify]: iteration 1 : 39 enodes (cost 12 ) 0.260 * * [simplify]: iteration 2 : 44 enodes (cost 12 ) 0.261 * * [simplify]: iteration 3 : 45 enodes (cost 12 ) 0.262 * * [simplify]: iteration 4 : 45 enodes (cost 12 ) 0.263 * * [progress]: iteration 1 / 4 0.263 * * * [progress]: picking best candidate 0.266 * * * * [pick]: Picked # 0.267 * * * [progress]: localizing error 0.296 * * * [progress]: generating rewritten candidates 0.296 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2) 0.310 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.312 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.319 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 0.333 * * * [progress]: generating series expansions 0.333 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2) 0.333 * [backup-simplify]: Simplify (cos (- lambda1 lambda2)) into (cos (- lambda1 lambda2)) 0.333 * [approximate]: Taking taylor expansion of (cos (- lambda1 lambda2)) in (lambda1 lambda2) around 0 0.333 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2 0.333 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2 0.333 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.333 * [backup-simplify]: Simplify lambda1 into lambda1 0.333 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.333 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify 1 into 1 0.334 * [backup-simplify]: Simplify (- 0) into 0 0.334 * [backup-simplify]: Simplify (+ lambda1 0) into lambda1 0.334 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 0.334 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 0.334 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.334 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.334 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.334 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify 1 into 1 0.334 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.334 * [backup-simplify]: Simplify lambda2 into lambda2 0.334 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 0.334 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2) 0.334 * [backup-simplify]: Simplify (cos (- lambda2)) into (cos (- lambda2)) 0.334 * [backup-simplify]: Simplify (sin (- lambda2)) into (sin (- lambda2)) 0.334 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.334 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.334 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.334 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify 1 into 1 0.334 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.334 * [backup-simplify]: Simplify lambda2 into lambda2 0.334 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 0.334 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2) 0.334 * [backup-simplify]: Simplify (cos (- lambda2)) into (cos (- lambda2)) 0.334 * [backup-simplify]: Simplify (sin (- lambda2)) into (sin (- lambda2)) 0.335 * [backup-simplify]: Simplify (* (cos (- lambda2)) 1) into (cos (- lambda2)) 0.335 * [backup-simplify]: Simplify (* (sin (- lambda2)) 0) into 0 0.335 * [backup-simplify]: Simplify (- 0) into 0 0.335 * [backup-simplify]: Simplify (+ (cos (- lambda2)) 0) into (cos (- lambda2)) 0.335 * [taylor]: Taking taylor expansion of (cos (- 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 0.336 * [backup-simplify]: Simplify (- 1) into -1 0.336 * [backup-simplify]: Simplify 1 into 1 0.336 * [backup-simplify]: Simplify (+ 0) into 0 0.337 * [backup-simplify]: Simplify (+ (* (cos (- lambda2)) 0) (* 0 1)) into 0 0.337 * [backup-simplify]: Simplify (- 0) into 0 0.337 * [backup-simplify]: Simplify (+ 1 0) into 1 0.338 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 0.338 * [backup-simplify]: Simplify (+ (* (sin (- lambda2)) 1) (* 0 0)) into (sin (- lambda2)) 0.338 * [backup-simplify]: Simplify (- (sin (- lambda2))) into (- (sin (- lambda2))) 0.338 * [backup-simplify]: Simplify (+ 0 (- (sin (- lambda2)))) into (- (sin (- lambda2))) 0.338 * [taylor]: Taking taylor expansion of (- (sin (- lambda2))) in lambda2 0.338 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 0.338 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.338 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.338 * [backup-simplify]: Simplify 0 into 0 0.338 * [backup-simplify]: Simplify 1 into 1 0.338 * [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 0 into 0 0.339 * [backup-simplify]: Simplify (+ 0) into 0 0.339 * [backup-simplify]: Simplify 0 into 0 0.340 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.340 * [backup-simplify]: Simplify (+ (* (cos (- lambda2)) -1/2) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (cos (- lambda2)))) 0.340 * [backup-simplify]: Simplify (- 0) into 0 0.341 * [backup-simplify]: Simplify (+ 0 0) into 0 0.341 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.341 * [backup-simplify]: Simplify (+ (* (sin (- lambda2)) 0) (+ (* 0 1) (* 0 0))) into 0 0.342 * [backup-simplify]: Simplify (- 0) into 0 0.342 * [backup-simplify]: Simplify (+ (- (* 1/2 (cos (- lambda2)))) 0) into (- (* 1/2 (cos (- lambda2)))) 0.342 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda2)))) in lambda2 0.342 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda2))) in lambda2 0.342 * [taylor]: Taking taylor expansion of 1/2 in lambda2 0.342 * [backup-simplify]: Simplify 1/2 into 1/2 0.342 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.342 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.342 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.342 * [backup-simplify]: Simplify 0 into 0 0.342 * [backup-simplify]: Simplify 1 into 1 0.342 * [backup-simplify]: Simplify (- 0) into 0 0.342 * [backup-simplify]: Simplify (- 1) into -1 0.343 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.343 * [backup-simplify]: Simplify (- 1/2) into -1/2 0.343 * [backup-simplify]: Simplify -1/2 into -1/2 0.343 * [backup-simplify]: Simplify (- 1) into -1 0.343 * [backup-simplify]: Simplify (+ (* 1 (/ (pow -1 1) 1))) into -1 0.344 * [backup-simplify]: Simplify (- -1) into 1 0.344 * [backup-simplify]: Simplify 1 into 1 0.344 * [backup-simplify]: Simplify (+ (* 1 (* lambda2 lambda1)) (+ (* -1/2 (pow (* 1 lambda1) 2)) 1)) into (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2))) 0.344 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0.344 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in (lambda1 lambda2) around 0 0.344 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.344 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.344 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.344 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.344 * [backup-simplify]: Simplify lambda1 into lambda1 0.344 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 0.344 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.344 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.344 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify 1 into 1 0.345 * [backup-simplify]: Simplify (/ 1 1) into 1 0.345 * [backup-simplify]: Simplify (- 1) into -1 0.345 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.345 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0.345 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.345 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.345 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.345 * [taylor]: Taking taylor expansion of lambda1 in lambda1 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 lambda2) in lambda1 0.345 * [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 * [backup-simplify]: Simplify (+ 1 0) into 1 0.346 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0.346 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.346 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 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 0.346 * [backup-simplify]: Simplify (/ 1 1) into 1 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) 0.347 * [backup-simplify]: Simplify (+ 1 0) into 1 0.347 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0.347 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.347 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.347 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.347 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.347 * [backup-simplify]: Simplify lambda1 into lambda1 0.347 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 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 0.347 * [backup-simplify]: Simplify (/ 1 1) into 1 0.347 * [backup-simplify]: Simplify (- 1) into -1 0.348 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.348 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0.348 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 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 lambda1)) (/ 1 (/ 1 lambda2)))) into (cos (- lambda1 lambda2)) 0.348 * [backup-simplify]: Simplify (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0.348 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in (lambda1 lambda2) around 0 0.348 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.348 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.348 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.348 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.348 * [backup-simplify]: Simplify 0 into 0 0.348 * [backup-simplify]: Simplify 1 into 1 0.349 * [backup-simplify]: Simplify (/ 1 1) into 1 0.349 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.349 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.349 * [backup-simplify]: Simplify lambda1 into lambda1 0.349 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 0.349 * [backup-simplify]: Simplify (+ 1 0) into 1 0.349 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0.349 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.349 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.349 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.349 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.349 * [backup-simplify]: Simplify lambda2 into lambda2 0.349 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 0.349 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.349 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.349 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify 1 into 1 0.349 * [backup-simplify]: Simplify (/ 1 1) into 1 0.350 * [backup-simplify]: Simplify (- 1) into -1 0.350 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.350 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0.350 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.350 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.350 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.350 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.350 * [backup-simplify]: Simplify lambda2 into lambda2 0.350 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 0.350 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.350 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.350 * [backup-simplify]: Simplify 0 into 0 0.350 * [backup-simplify]: Simplify 1 into 1 0.351 * [backup-simplify]: Simplify (/ 1 1) into 1 0.351 * [backup-simplify]: Simplify (- 1) into -1 0.351 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.351 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0.351 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.351 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.351 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.351 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.351 * [backup-simplify]: Simplify 0 into 0 0.351 * [backup-simplify]: Simplify 1 into 1 0.352 * [backup-simplify]: Simplify (/ 1 1) into 1 0.352 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.352 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.352 * [backup-simplify]: Simplify lambda1 into lambda1 0.352 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 0.352 * [backup-simplify]: Simplify (+ 1 0) into 1 0.352 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0.352 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0.352 * [taylor]: Taking taylor expansion of 0 in lambda2 0.352 * [backup-simplify]: Simplify 0 into 0 0.352 * [backup-simplify]: Simplify 0 into 0 0.352 * [backup-simplify]: Simplify 0 into 0 0.352 * [taylor]: Taking taylor expansion of 0 in lambda2 0.352 * [backup-simplify]: Simplify 0 into 0 0.352 * [backup-simplify]: Simplify 0 into 0 0.352 * [backup-simplify]: Simplify 0 into 0 0.352 * [backup-simplify]: Simplify 0 into 0 0.352 * [taylor]: Taking taylor expansion of 0 in lambda2 0.352 * [backup-simplify]: Simplify 0 into 0 0.352 * [backup-simplify]: Simplify 0 into 0 0.352 * [backup-simplify]: Simplify (cos (- (/ 1 (/ 1 (- lambda2))) (/ 1 (/ 1 (- lambda1))))) into (cos (- lambda1 lambda2)) 0.352 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.353 * [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))))) 0.353 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 0.353 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.353 * [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))))) 0.353 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.353 * [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))))) 0.353 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.353 * [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))))) 0.353 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.354 * [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))))) 0.354 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.354 * [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))))) 0.354 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.354 * [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))))) 0.354 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.354 * [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))))) 0.354 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.355 * [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))))) 0.355 * [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))))) 0.355 * [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 * [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 phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) into (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) 0.356 * [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))))))) 0.356 * [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 0.356 * [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 0.356 * [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))))))) 0.356 * [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 0.356 * [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))))))) 0.356 * [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 0.357 * [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))))))) 0.357 * [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 0.357 * [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))))))) 0.357 * [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 0.357 * [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))))))) 0.357 * [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 0.358 * [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))))))) 0.358 * [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 0.358 * [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))))))) 0.358 * [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 0.358 * [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))))))) 0.358 * [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))))))) 0.359 * [taylor]: Taking taylor expansion of 0 in phi2 0.359 * [backup-simplify]: Simplify 0 into 0 0.359 * [taylor]: Taking taylor expansion of 0 in lambda1 0.359 * [backup-simplify]: Simplify 0 into 0 0.359 * [taylor]: Taking taylor expansion of 0 in lambda2 0.359 * [backup-simplify]: Simplify 0 into 0 0.359 * [backup-simplify]: Simplify 0 into 0 0.359 * [taylor]: Taking taylor expansion of 0 in lambda1 0.359 * [backup-simplify]: Simplify 0 into 0 0.359 * [taylor]: Taking taylor expansion of 0 in lambda2 0.359 * [backup-simplify]: Simplify 0 into 0 0.359 * [backup-simplify]: Simplify 0 into 0 0.359 * [taylor]: Taking taylor expansion of 0 in lambda2 0.359 * [backup-simplify]: Simplify 0 into 0 0.359 * [backup-simplify]: Simplify 0 into 0 0.359 * [backup-simplify]: Simplify 0 into 0 0.359 * [taylor]: Taking taylor expansion of 0 in phi2 0.359 * [backup-simplify]: Simplify 0 into 0 0.359 * [taylor]: Taking taylor expansion of 0 in lambda1 0.359 * [backup-simplify]: Simplify 0 into 0 0.359 * [taylor]: Taking taylor expansion of 0 in lambda2 0.359 * [backup-simplify]: Simplify 0 into 0 0.359 * [backup-simplify]: Simplify 0 into 0 0.359 * [taylor]: Taking taylor expansion of 0 in lambda1 0.359 * [backup-simplify]: Simplify 0 into 0 0.359 * [taylor]: Taking taylor expansion of 0 in lambda2 0.359 * [backup-simplify]: Simplify 0 into 0 0.359 * [backup-simplify]: Simplify 0 into 0 0.359 * [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))))) 0.360 * [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))))) 0.360 * [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 0.360 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda2 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 lambda1 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 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 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 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 0.362 * [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 (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda1 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 (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))))) 0.363 * [taylor]: Taking taylor expansion of 0 in phi2 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [taylor]: Taking taylor expansion of 0 in lambda1 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [taylor]: Taking taylor expansion of 0 in lambda2 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [taylor]: Taking taylor expansion of 0 in lambda1 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [taylor]: Taking taylor expansion of 0 in lambda2 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [taylor]: Taking taylor expansion of 0 in lambda2 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [taylor]: Taking taylor expansion of 0 in phi2 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [taylor]: Taking taylor expansion of 0 in lambda1 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [taylor]: Taking taylor expansion of 0 in lambda2 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [taylor]: Taking taylor expansion of 0 in lambda1 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [taylor]: Taking taylor expansion of 0 in lambda2 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [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) 0.364 * [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) 0.364 * [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 0.364 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R 0.364 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R 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 R 0.364 * [backup-simplify]: Simplify 0 into 0 0.364 * [backup-simplify]: Simplify 1 into 1 0.364 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2 0.364 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.364 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) into (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) 0.364 * [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 0.365 * [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 0.365 * [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 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1 0.365 * [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 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1 0.365 * [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 0.366 * [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 phi2 0.366 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 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 phi2 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 lambda1 0.366 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 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 lambda1 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 lambda2 0.367 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.367 * [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))))) 0.367 * [taylor]: Taking taylor expansion of R in lambda2 0.367 * [backup-simplify]: Simplify R into R 0.367 * [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) 0.367 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R 0.367 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R 0.367 * [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))))) 0.367 * [taylor]: Taking taylor expansion of R in R 0.367 * [backup-simplify]: Simplify 0 into 0 0.367 * [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 0.368 * [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 phi2 0.368 * [backup-simplify]: Simplify 0 into 0 0.368 * [taylor]: Taking taylor expansion of 0 in lambda1 0.368 * [backup-simplify]: Simplify 0 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 lambda1 0.368 * [backup-simplify]: Simplify 0 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 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 0.369 * [backup-simplify]: Simplify (+ (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) 0) (* 0 R)) into 0 0.369 * [taylor]: Taking taylor expansion of 0 in R 0.373 * [backup-simplify]: Simplify 0 into 0 0.373 * [backup-simplify]: Simplify 0 into 0 0.374 * [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))))) 0.374 * [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))))) 0.375 * [backup-simplify]: Simplify (+ (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) 0) (+ (* 0 0) (* 0 R))) into 0 0.375 * [taylor]: Taking taylor expansion of 0 in phi2 0.375 * [backup-simplify]: Simplify 0 into 0 0.375 * [taylor]: Taking taylor expansion of 0 in lambda1 0.375 * [backup-simplify]: Simplify 0 into 0 0.375 * [taylor]: Taking taylor expansion of 0 in lambda2 0.375 * [backup-simplify]: Simplify 0 into 0 0.375 * [taylor]: Taking taylor expansion of 0 in R 0.375 * [backup-simplify]: Simplify 0 into 0 0.375 * [backup-simplify]: Simplify 0 into 0 0.375 * [taylor]: Taking taylor expansion of 0 in lambda1 0.375 * [backup-simplify]: Simplify 0 into 0 0.375 * [taylor]: Taking taylor expansion of 0 in lambda2 0.375 * [backup-simplify]: Simplify 0 into 0 0.375 * [taylor]: Taking taylor expansion of 0 in R 0.375 * [backup-simplify]: Simplify 0 into 0 0.375 * [backup-simplify]: Simplify 0 into 0 0.376 * [backup-simplify]: Simplify (+ (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) 0) (+ (* 0 0) (* 0 R))) into 0 0.376 * [taylor]: Taking taylor expansion of 0 in lambda1 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [taylor]: Taking taylor expansion of 0 in lambda2 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [taylor]: Taking taylor expansion of 0 in R 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [taylor]: Taking taylor expansion of 0 in lambda2 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [taylor]: Taking taylor expansion of 0 in R 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [taylor]: Taking taylor expansion of 0 in lambda2 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [taylor]: Taking taylor expansion of 0 in R 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify (+ (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) 0) (+ (* 0 0) (* 0 R))) into 0 0.377 * [taylor]: Taking taylor expansion of 0 in lambda2 0.377 * [backup-simplify]: Simplify 0 into 0 0.377 * [taylor]: Taking taylor expansion of 0 in R 0.377 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify 0 into 0 0.377 * [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) 0.378 * [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) 0.378 * [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 0.378 * [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 0.379 * [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 * [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 0.379 * [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 0.379 * [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 * [taylor]: Taking taylor expansion of R in lambda2 0.379 * [backup-simplify]: Simplify R into R 0.379 * [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) 0.379 * [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 0.379 * [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 0.379 * [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))))))) 0.380 * [taylor]: Taking taylor expansion of R in lambda1 0.380 * [backup-simplify]: Simplify R into R 0.380 * [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) 0.380 * [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 0.380 * [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 0.380 * [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))))))) 0.380 * [taylor]: Taking taylor expansion of R in phi2 0.380 * [backup-simplify]: Simplify R into R 0.380 * [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) 0.380 * [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 0.380 * [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 0.381 * [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))))))) 0.381 * [taylor]: Taking taylor expansion of R in phi1 0.381 * [backup-simplify]: Simplify R into R 0.381 * [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) 0.381 * [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 0.381 * [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 0.381 * [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))))))) 0.381 * [taylor]: Taking taylor expansion of R in phi1 0.381 * [backup-simplify]: Simplify R into R 0.382 * [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) 0.382 * [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 0.382 * [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 0.382 * [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))))))) 0.382 * [taylor]: Taking taylor expansion of R in phi2 0.382 * [backup-simplify]: Simplify R into R 0.382 * [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) 0.382 * [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 0.383 * [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 0.383 * [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))))))) 0.383 * [taylor]: Taking taylor expansion of R in lambda1 0.383 * [backup-simplify]: Simplify R into R 0.383 * [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) 0.383 * [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 0.383 * [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 0.383 * [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))))))) 0.383 * [taylor]: Taking taylor expansion of R in lambda2 0.383 * [backup-simplify]: Simplify R into R 0.384 * [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) 0.384 * [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 0.384 * [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 0.384 * [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))))))) 0.384 * [taylor]: Taking taylor expansion of R in R 0.384 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify 1 into 1 0.384 * [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))))))) 0.385 * [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))))))) 0.385 * [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 0.385 * [taylor]: Taking taylor expansion of 0 in phi2 0.385 * [backup-simplify]: Simplify 0 into 0 0.385 * [taylor]: Taking taylor expansion of 0 in lambda1 0.385 * [backup-simplify]: Simplify 0 into 0 0.385 * [taylor]: Taking taylor expansion of 0 in lambda2 0.385 * [backup-simplify]: Simplify 0 into 0 0.385 * [taylor]: Taking taylor expansion of 0 in R 0.385 * [backup-simplify]: Simplify 0 into 0 0.386 * [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 0.386 * [taylor]: Taking taylor expansion of 0 in lambda1 0.386 * [backup-simplify]: Simplify 0 into 0 0.386 * [taylor]: Taking taylor expansion of 0 in lambda2 0.386 * [backup-simplify]: Simplify 0 into 0 0.386 * [taylor]: Taking taylor expansion of 0 in R 0.386 * [backup-simplify]: Simplify 0 into 0 0.386 * [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 0.386 * [taylor]: Taking taylor expansion of 0 in lambda2 0.386 * [backup-simplify]: Simplify 0 into 0 0.386 * [taylor]: Taking taylor expansion of 0 in R 0.386 * [backup-simplify]: Simplify 0 into 0 0.387 * [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 0.387 * [taylor]: Taking taylor expansion of 0 in R 0.387 * [backup-simplify]: Simplify 0 into 0 0.388 * [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 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [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 0.388 * [taylor]: Taking taylor expansion of 0 in phi2 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [taylor]: Taking taylor expansion of 0 in lambda1 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [taylor]: Taking taylor expansion of 0 in lambda2 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [taylor]: Taking taylor expansion of 0 in R 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [taylor]: Taking taylor expansion of 0 in lambda1 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [taylor]: Taking taylor expansion of 0 in lambda2 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [taylor]: Taking taylor expansion of 0 in R 0.388 * [backup-simplify]: Simplify 0 into 0 0.389 * [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 0.389 * [taylor]: Taking taylor expansion of 0 in lambda1 0.389 * [backup-simplify]: Simplify 0 into 0 0.389 * [taylor]: Taking taylor expansion of 0 in lambda2 0.389 * [backup-simplify]: Simplify 0 into 0 0.389 * [taylor]: Taking taylor expansion of 0 in R 0.389 * [backup-simplify]: Simplify 0 into 0 0.389 * [taylor]: Taking taylor expansion of 0 in lambda2 0.389 * [backup-simplify]: Simplify 0 into 0 0.389 * [taylor]: Taking taylor expansion of 0 in R 0.389 * [backup-simplify]: Simplify 0 into 0 0.389 * [taylor]: Taking taylor expansion of 0 in lambda2 0.389 * [backup-simplify]: Simplify 0 into 0 0.389 * [taylor]: Taking taylor expansion of 0 in R 0.389 * [backup-simplify]: Simplify 0 into 0 0.389 * [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 0.389 * [taylor]: Taking taylor expansion of 0 in lambda2 0.389 * [backup-simplify]: Simplify 0 into 0 0.389 * [taylor]: Taking taylor expansion of 0 in R 0.389 * [backup-simplify]: Simplify 0 into 0 0.389 * [taylor]: Taking taylor expansion of 0 in R 0.389 * [backup-simplify]: Simplify 0 into 0 0.389 * [taylor]: Taking taylor expansion of 0 in R 0.389 * [backup-simplify]: Simplify 0 into 0 0.389 * [taylor]: Taking taylor expansion of 0 in R 0.389 * [backup-simplify]: Simplify 0 into 0 0.390 * [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 0.390 * [taylor]: Taking taylor expansion of 0 in R 0.390 * [backup-simplify]: Simplify 0 into 0 0.390 * [backup-simplify]: Simplify 0 into 0 0.390 * [backup-simplify]: Simplify 0 into 0 0.390 * [backup-simplify]: Simplify 0 into 0 0.390 * [backup-simplify]: Simplify 0 into 0 0.391 * [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 0.391 * [backup-simplify]: Simplify 0 into 0 0.392 * [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) 0.392 * [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)) 0.392 * [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 0.392 * [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 R 0.392 * [taylor]: Taking taylor expansion of -1 in R 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 R 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 R 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 R 0.393 * [backup-simplify]: Simplify 0 into 0 0.393 * [backup-simplify]: Simplify 1 into 1 0.393 * [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))))) 0.393 * [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))))) 0.394 * [taylor]: Taking taylor expansion of R in lambda2 0.394 * [backup-simplify]: Simplify R into R 0.394 * [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 * [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 0.394 * [taylor]: Taking taylor expansion of -1 in lambda1 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 lambda1 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 lambda1 0.394 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) 0.394 * [taylor]: Taking taylor expansion of R in lambda1 0.394 * [backup-simplify]: Simplify R into R 0.394 * [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 * [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 0.395 * [taylor]: Taking taylor expansion of -1 in phi2 0.395 * [backup-simplify]: Simplify -1 into -1 0.395 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in phi2 0.395 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi2 0.395 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) 0.395 * [taylor]: Taking taylor expansion of R in phi2 0.395 * [backup-simplify]: Simplify R into R 0.395 * [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) 0.395 * [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 0.395 * [taylor]: Taking taylor expansion of -1 in phi1 0.395 * [backup-simplify]: Simplify -1 into -1 0.395 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in phi1 0.395 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi1 0.395 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) 0.395 * [taylor]: Taking taylor expansion of R in phi1 0.396 * [backup-simplify]: Simplify R into R 0.396 * [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) 0.396 * [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 0.396 * [taylor]: Taking taylor expansion of -1 in phi1 0.396 * [backup-simplify]: Simplify -1 into -1 0.396 * [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 0.396 * [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 0.396 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) 0.396 * [taylor]: Taking taylor expansion of R in phi1 0.396 * [backup-simplify]: Simplify R into R 0.396 * [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) 0.397 * [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)) 0.397 * [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 0.397 * [taylor]: Taking taylor expansion of -1 in phi2 0.397 * [backup-simplify]: Simplify -1 into -1 0.397 * [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 0.397 * [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 0.397 * [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))))) 0.397 * [taylor]: Taking taylor expansion of R in phi2 0.397 * [backup-simplify]: Simplify R into R 0.398 * [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) 0.398 * [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)) 0.398 * [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 0.398 * [taylor]: Taking taylor expansion of -1 in lambda1 0.398 * [backup-simplify]: Simplify -1 into -1 0.398 * [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 0.398 * [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 0.398 * [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))))) 0.398 * [taylor]: Taking taylor expansion of R in lambda1 0.398 * [backup-simplify]: Simplify R into R 0.398 * [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) 0.399 * [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)) 0.399 * [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 0.399 * [taylor]: Taking taylor expansion of -1 in lambda2 0.399 * [backup-simplify]: Simplify -1 into -1 0.399 * [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 0.399 * [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 0.399 * [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))))) 0.399 * [taylor]: Taking taylor expansion of R in lambda2 0.399 * [backup-simplify]: Simplify R into R 0.399 * [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) 0.400 * [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)) 0.400 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in R 0.400 * [taylor]: Taking taylor expansion of -1 in R 0.400 * [backup-simplify]: Simplify -1 into -1 0.400 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in R 0.400 * [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 0.400 * [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))))) 0.400 * [taylor]: Taking taylor expansion of R in R 0.400 * [backup-simplify]: Simplify 0 into 0 0.400 * [backup-simplify]: Simplify 1 into 1 0.400 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) 1) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) 0.401 * [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)))))) 0.401 * [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)))))) 0.402 * [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)))) into 0 0.402 * [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 0.402 * [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 0.403 * [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 0.403 * [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 0.404 * [taylor]: Taking taylor expansion of 0 in lambda1 0.404 * [backup-simplify]: Simplify 0 into 0 0.404 * [taylor]: Taking taylor expansion of 0 in lambda2 0.404 * [backup-simplify]: Simplify 0 into 0 0.404 * [taylor]: Taking taylor expansion of 0 in R 0.404 * [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)))) into 0 0.405 * [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 0.405 * [taylor]: Taking taylor expansion of 0 in lambda2 0.405 * [backup-simplify]: Simplify 0 into 0 0.405 * [taylor]: Taking taylor expansion of 0 in R 0.405 * [backup-simplify]: Simplify 0 into 0 0.405 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) (/ 0 R)))) into 0 0.406 * [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 0.406 * [taylor]: Taking taylor expansion of 0 in R 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)))) into 0 0.407 * [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 0.407 * [backup-simplify]: Simplify 0 into 0 0.407 * [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 0.408 * [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))))) R)))) into 0 0.408 * [taylor]: Taking taylor expansion of 0 in phi2 0.408 * [backup-simplify]: Simplify 0 into 0 0.408 * [taylor]: Taking taylor expansion of 0 in lambda1 0.408 * [backup-simplify]: Simplify 0 into 0 0.408 * [taylor]: Taking taylor expansion of 0 in lambda2 0.408 * [backup-simplify]: Simplify 0 into 0 0.408 * [taylor]: Taking taylor expansion of 0 in R 0.408 * [backup-simplify]: Simplify 0 into 0 0.408 * [taylor]: Taking taylor expansion of 0 in lambda1 0.409 * [backup-simplify]: Simplify 0 into 0 0.409 * [taylor]: Taking taylor expansion of 0 in lambda2 0.409 * [backup-simplify]: Simplify 0 into 0 0.409 * [taylor]: Taking taylor expansion of 0 in R 0.409 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify (- (/ 0 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 0.410 * [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 0.410 * [taylor]: Taking taylor expansion of 0 in lambda1 0.410 * [backup-simplify]: Simplify 0 into 0 0.410 * [taylor]: Taking taylor expansion of 0 in lambda2 0.410 * [backup-simplify]: Simplify 0 into 0 0.410 * [taylor]: Taking taylor expansion of 0 in R 0.410 * [backup-simplify]: Simplify 0 into 0 0.410 * [taylor]: Taking taylor expansion of 0 in lambda2 0.410 * [backup-simplify]: Simplify 0 into 0 0.410 * [taylor]: Taking taylor expansion of 0 in R 0.410 * [backup-simplify]: Simplify 0 into 0 0.410 * [taylor]: Taking taylor expansion of 0 in lambda2 0.410 * [backup-simplify]: Simplify 0 into 0 0.410 * [taylor]: Taking taylor expansion of 0 in R 0.410 * [backup-simplify]: Simplify 0 into 0 0.410 * [backup-simplify]: Simplify (- (/ 0 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 0.411 * [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 0.411 * [taylor]: Taking taylor expansion of 0 in lambda2 0.411 * [backup-simplify]: Simplify 0 into 0 0.411 * [taylor]: Taking taylor expansion of 0 in R 0.411 * [backup-simplify]: Simplify 0 into 0 0.411 * [taylor]: Taking taylor expansion of 0 in R 0.411 * [backup-simplify]: Simplify 0 into 0 0.411 * [taylor]: Taking taylor expansion of 0 in R 0.411 * [backup-simplify]: Simplify 0 into 0 0.411 * [taylor]: Taking taylor expansion of 0 in R 0.411 * [backup-simplify]: Simplify 0 into 0 0.412 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 0.413 * [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 0.413 * [taylor]: Taking taylor expansion of 0 in R 0.413 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify 0 into 0 0.414 * [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 0.415 * [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 0.415 * [backup-simplify]: Simplify 0 into 0 0.415 * [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) 0.416 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 0.416 * [backup-simplify]: Simplify (* (sin phi1) (sin phi2)) into (* (sin phi1) (sin phi2)) 0.416 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 0.416 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 0.416 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 0.416 * [taylor]: Taking taylor expansion of phi1 in phi2 0.416 * [backup-simplify]: Simplify phi1 into phi1 0.416 * [backup-simplify]: Simplify (sin phi1) into (sin phi1) 0.416 * [backup-simplify]: Simplify (cos phi1) into (cos phi1) 0.416 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.416 * [taylor]: Taking taylor expansion of phi2 in phi2 0.416 * [backup-simplify]: Simplify 0 into 0 0.416 * [backup-simplify]: Simplify 1 into 1 0.416 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.416 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.416 * [taylor]: Taking taylor expansion of phi1 in phi1 0.416 * [backup-simplify]: Simplify 0 into 0 0.416 * [backup-simplify]: Simplify 1 into 1 0.416 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.416 * [taylor]: Taking taylor expansion of phi2 in phi1 0.416 * [backup-simplify]: Simplify phi2 into phi2 0.416 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 0.416 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 0.416 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.416 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.416 * [taylor]: Taking taylor expansion of phi1 in phi1 0.416 * [backup-simplify]: Simplify 0 into 0 0.416 * [backup-simplify]: Simplify 1 into 1 0.416 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.416 * [taylor]: Taking taylor expansion of phi2 in phi1 0.416 * [backup-simplify]: Simplify phi2 into phi2 0.416 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 0.416 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 0.417 * [backup-simplify]: Simplify (* (sin phi2) 1) into (sin phi2) 0.417 * [backup-simplify]: Simplify (* (cos phi2) 0) into 0 0.417 * [backup-simplify]: Simplify (+ (sin phi2) 0) into (sin phi2) 0.417 * [backup-simplify]: Simplify (* 0 (sin phi2)) into 0 0.417 * [taylor]: Taking taylor expansion of 0 in phi2 0.417 * [backup-simplify]: Simplify 0 into 0 0.417 * [backup-simplify]: Simplify 0 into 0 0.417 * [backup-simplify]: Simplify (+ 0) into 0 0.417 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (* 0 1)) into 0 0.418 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.418 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (* 0 0)) into 0 0.418 * [backup-simplify]: Simplify (+ 0 0) into 0 0.419 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 0.419 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin phi2))) into (sin phi2) 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 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify 0 into 0 0.420 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.420 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (* 0 1))) into 0 0.421 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.421 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* 0 0))) into 0 0.421 * [backup-simplify]: Simplify (+ 0 0) into 0 0.421 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.422 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin phi2)))) into 0 0.422 * [taylor]: Taking taylor expansion of 0 in phi2 0.422 * [backup-simplify]: Simplify 0 into 0 0.422 * [backup-simplify]: Simplify 0 into 0 0.422 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 0.422 * [backup-simplify]: Simplify 1 into 1 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.424 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.425 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 0.425 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 0.425 * [backup-simplify]: Simplify (+ 0 0) into 0 0.426 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 0.427 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin phi2))))) into (- (* 1/6 (sin phi2))) 0.427 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 0.427 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 0.427 * [taylor]: Taking taylor expansion of 1/6 in phi2 0.427 * [backup-simplify]: Simplify 1/6 into 1/6 0.427 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.427 * [taylor]: Taking taylor expansion of phi2 in phi2 0.427 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify 1 into 1 0.427 * [backup-simplify]: Simplify (* 1/6 0) into 0 0.427 * [backup-simplify]: Simplify (- 0) into 0 0.427 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify 0 into 0 0.428 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.428 * [backup-simplify]: Simplify 0 into 0 0.428 * [backup-simplify]: Simplify 0 into 0 0.429 * [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 0.430 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.431 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 0.431 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 0.431 * [backup-simplify]: Simplify (+ 0 0) into 0 0.432 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 0.433 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin phi2)))))) into 0 0.433 * [taylor]: Taking taylor expansion of 0 in phi2 0.433 * [backup-simplify]: Simplify 0 into 0 0.433 * [backup-simplify]: Simplify 0 into 0 0.433 * [backup-simplify]: Simplify (* 1 (* phi2 phi1)) into (* phi2 phi1) 0.433 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 0.433 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 0.433 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.433 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.433 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.433 * [taylor]: Taking taylor expansion of phi1 in phi2 0.433 * [backup-simplify]: Simplify phi1 into phi1 0.433 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 0.433 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 0.433 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 0.433 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.433 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.434 * [taylor]: Taking taylor expansion of phi2 in phi2 0.434 * [backup-simplify]: Simplify 0 into 0 0.434 * [backup-simplify]: Simplify 1 into 1 0.434 * [backup-simplify]: Simplify (/ 1 1) into 1 0.434 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 0.434 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.434 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.434 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.434 * [taylor]: Taking taylor expansion of phi1 in phi1 0.434 * [backup-simplify]: Simplify 0 into 0 0.434 * [backup-simplify]: Simplify 1 into 1 0.434 * [backup-simplify]: Simplify (/ 1 1) into 1 0.434 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 0.434 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.434 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.434 * [taylor]: Taking taylor expansion of phi2 in phi1 0.434 * [backup-simplify]: Simplify phi2 into phi2 0.434 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 0.434 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 0.434 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 0.434 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.434 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.434 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.435 * [taylor]: Taking taylor expansion of phi1 in phi1 0.435 * [backup-simplify]: Simplify 0 into 0 0.435 * [backup-simplify]: Simplify 1 into 1 0.435 * [backup-simplify]: Simplify (/ 1 1) into 1 0.435 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 0.435 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.435 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.435 * [taylor]: Taking taylor expansion of phi2 in phi1 0.435 * [backup-simplify]: Simplify phi2 into phi2 0.435 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 0.435 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 0.435 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 0.435 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 1) into (sin (/ 1 phi2)) 0.435 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 0) into 0 0.435 * [backup-simplify]: Simplify (+ (sin (/ 1 phi2)) 0) into (sin (/ 1 phi2)) 0.435 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 0.435 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.435 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.435 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.435 * [taylor]: Taking taylor expansion of phi1 in phi2 0.435 * [backup-simplify]: Simplify phi1 into phi1 0.435 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 0.436 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 0.436 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 0.436 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.436 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.436 * [taylor]: Taking taylor expansion of phi2 in phi2 0.436 * [backup-simplify]: Simplify 0 into 0 0.436 * [backup-simplify]: Simplify 1 into 1 0.436 * [backup-simplify]: Simplify (/ 1 1) into 1 0.436 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 0.436 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 1) into (sin (/ 1 phi1)) 0.436 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 0) into 0 0.436 * [backup-simplify]: Simplify (+ (sin (/ 1 phi1)) 0) into (sin (/ 1 phi1)) 0.436 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 0.436 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 0.437 * [backup-simplify]: Simplify (+ 0) into 0 0.437 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 1)) into 0 0.437 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 0.437 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.438 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 0)) into 0 0.438 * [backup-simplify]: Simplify (+ 0 0) into 0 0.438 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 (sin (/ 1 phi2)))) into 0 0.438 * [taylor]: Taking taylor expansion of 0 in phi2 0.438 * [backup-simplify]: Simplify 0 into 0 0.438 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify (+ 0) into 0 0.439 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 1)) into 0 0.439 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 0.439 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.440 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 0)) into 0 0.440 * [backup-simplify]: Simplify (+ 0 0) into 0 0.440 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 (sin (/ 1 phi2)))) into 0 0.440 * [backup-simplify]: Simplify 0 into 0 0.441 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.441 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 0.441 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 0.442 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.442 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 0.442 * [backup-simplify]: Simplify (+ 0 0) into 0 0.442 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi2))))) into 0 0.442 * [taylor]: Taking taylor expansion of 0 in phi2 0.443 * [backup-simplify]: Simplify 0 into 0 0.443 * [backup-simplify]: Simplify 0 into 0 0.443 * [backup-simplify]: Simplify 0 into 0 0.443 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.443 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 0.444 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 0.444 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.444 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 0.445 * [backup-simplify]: Simplify (+ 0 0) into 0 0.445 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi2))))) into 0 0.445 * [backup-simplify]: Simplify 0 into 0 0.446 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.446 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.446 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 0.447 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 0.447 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 0.448 * [backup-simplify]: Simplify (+ 0 0) into 0 0.448 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 phi2)))))) into 0 0.448 * [taylor]: Taking taylor expansion of 0 in phi2 0.448 * [backup-simplify]: Simplify 0 into 0 0.448 * [backup-simplify]: Simplify 0 into 0 0.448 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 phi1))) (sin (/ 1 (/ 1 phi2)))) into (* (sin phi1) (sin phi2)) 0.448 * [backup-simplify]: Simplify (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 0.448 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 0.448 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.448 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.448 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.448 * [taylor]: Taking taylor expansion of -1 in phi2 0.448 * [backup-simplify]: Simplify -1 into -1 0.448 * [taylor]: Taking taylor expansion of phi1 in phi2 0.448 * [backup-simplify]: Simplify phi1 into phi1 0.449 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 0.449 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 0.449 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 0.449 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.449 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.449 * [taylor]: Taking taylor expansion of -1 in phi2 0.449 * [backup-simplify]: Simplify -1 into -1 0.449 * [taylor]: Taking taylor expansion of phi2 in phi2 0.449 * [backup-simplify]: Simplify 0 into 0 0.449 * [backup-simplify]: Simplify 1 into 1 0.449 * [backup-simplify]: Simplify (/ -1 1) into -1 0.449 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 0.449 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.449 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.449 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.449 * [taylor]: Taking taylor expansion of -1 in phi1 0.449 * [backup-simplify]: Simplify -1 into -1 0.449 * [taylor]: Taking taylor expansion of phi1 in phi1 0.449 * [backup-simplify]: Simplify 0 into 0 0.449 * [backup-simplify]: Simplify 1 into 1 0.449 * [backup-simplify]: Simplify (/ -1 1) into -1 0.449 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 0.449 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.449 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.450 * [taylor]: Taking taylor expansion of -1 in phi1 0.450 * [backup-simplify]: Simplify -1 into -1 0.450 * [taylor]: Taking taylor expansion of phi2 in phi1 0.450 * [backup-simplify]: Simplify phi2 into phi2 0.450 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 0.450 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 0.450 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 0.450 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.450 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.450 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.450 * [taylor]: Taking taylor expansion of -1 in phi1 0.450 * [backup-simplify]: Simplify -1 into -1 0.450 * [taylor]: Taking taylor expansion of phi1 in phi1 0.450 * [backup-simplify]: Simplify 0 into 0 0.450 * [backup-simplify]: Simplify 1 into 1 0.450 * [backup-simplify]: Simplify (/ -1 1) into -1 0.450 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 0.450 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.450 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.450 * [taylor]: Taking taylor expansion of -1 in phi1 0.450 * [backup-simplify]: Simplify -1 into -1 0.450 * [taylor]: Taking taylor expansion of phi2 in phi1 0.450 * [backup-simplify]: Simplify phi2 into phi2 0.450 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 0.450 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 0.450 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 0.450 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 1) into (sin (/ -1 phi2)) 0.451 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 0) into 0 0.451 * [backup-simplify]: Simplify (+ (sin (/ -1 phi2)) 0) into (sin (/ -1 phi2)) 0.451 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 0.451 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.451 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.451 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.451 * [taylor]: Taking taylor expansion of -1 in phi2 0.451 * [backup-simplify]: Simplify -1 into -1 0.451 * [taylor]: Taking taylor expansion of phi1 in phi2 0.451 * [backup-simplify]: Simplify phi1 into phi1 0.451 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 0.451 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 0.451 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 0.451 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.451 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.451 * [taylor]: Taking taylor expansion of -1 in phi2 0.451 * [backup-simplify]: Simplify -1 into -1 0.451 * [taylor]: Taking taylor expansion of phi2 in phi2 0.451 * [backup-simplify]: Simplify 0 into 0 0.451 * [backup-simplify]: Simplify 1 into 1 0.451 * [backup-simplify]: Simplify (/ -1 1) into -1 0.451 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 0.451 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 1) into (sin (/ -1 phi1)) 0.451 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 0) into 0 0.451 * [backup-simplify]: Simplify (+ (sin (/ -1 phi1)) 0) into (sin (/ -1 phi1)) 0.452 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 0.452 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 0.452 * [backup-simplify]: Simplify (+ 0) into 0 0.452 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 1)) into 0 0.452 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0 0.453 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.453 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 0)) into 0 0.453 * [backup-simplify]: Simplify (+ 0 0) into 0 0.453 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 0.453 * [taylor]: Taking taylor expansion of 0 in phi2 0.453 * [backup-simplify]: Simplify 0 into 0 0.453 * [backup-simplify]: Simplify 0 into 0 0.454 * [backup-simplify]: Simplify (+ 0) into 0 0.454 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 1)) into 0 0.454 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0 0.454 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.455 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 0)) into 0 0.455 * [backup-simplify]: Simplify (+ 0 0) into 0 0.455 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 0.455 * [backup-simplify]: Simplify 0 into 0 0.456 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.456 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 0.456 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 0.457 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.457 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 0.457 * [backup-simplify]: Simplify (+ 0 0) into 0 0.457 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 0.457 * [taylor]: Taking taylor expansion of 0 in phi2 0.457 * [backup-simplify]: Simplify 0 into 0 0.457 * [backup-simplify]: Simplify 0 into 0 0.458 * [backup-simplify]: Simplify 0 into 0 0.458 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.458 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 0.459 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 0.459 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.459 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 0.460 * [backup-simplify]: Simplify (+ 0 0) into 0 0.460 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 0.460 * [backup-simplify]: Simplify 0 into 0 0.460 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.461 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.461 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 0.462 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 0.462 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 0.462 * [backup-simplify]: Simplify (+ 0 0) into 0 0.463 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2)))))) into 0 0.463 * [taylor]: Taking taylor expansion of 0 in phi2 0.463 * [backup-simplify]: Simplify 0 into 0 0.463 * [backup-simplify]: Simplify 0 into 0 0.463 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) into (* (sin phi1) (sin phi2)) 0.463 * * * [progress]: simplifying candidates 0.464 * [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)) 0.468 * [simplify]: Sending expressions to egg_math: (expm1 (cos (- h0 h1))) (log1p (cos (- h0 h1))) (* (cos (fma (* (cbrt h0) (cbrt h0)) (cbrt h0) (- (* (cbrt h1) (* (cbrt h1) (cbrt h1)))))) (cos (fma (- (cbrt h1)) (* (cbrt h1) (cbrt h1)) (* (cbrt h1) (* (cbrt h1) (cbrt h1)))))) (* (sin (fma (* (cbrt h0) (cbrt h0)) (cbrt h0) (- (* (cbrt h1) (* (cbrt h1) (cbrt h1)))))) (sin (fma (- (cbrt h1)) (* (cbrt h1) (cbrt h1)) (* (cbrt h1) (* (cbrt h1) (cbrt h1)))))) (* (cos (fma (* (cbrt h0) (cbrt h0)) (cbrt h0) (- (* (sqrt h1) (sqrt h1))))) (cos (fma (- (sqrt h1)) (sqrt h1) (* (sqrt h1) (sqrt h1))))) (* (sin (fma (* (cbrt h0) (cbrt h0)) (cbrt h0) (- (* (sqrt h1) (sqrt h1))))) (sin (fma (- (sqrt h1)) (sqrt h1) (* (sqrt h1) (sqrt h1))))) (* (cos (fma (* (cbrt h0) (cbrt h0)) (cbrt h0) (- (* h1 1)))) (cos (fma (- h1) 1 (* h1 1)))) (* (sin (fma (* (cbrt h0) (cbrt h0)) (cbrt h0) (- (* h1 1)))) (sin (fma (- h1) 1 (* h1 1)))) (* (cos (fma (sqrt h0) (sqrt h0) (- (* (cbrt h1) (* (cbrt h1) (cbrt h1)))))) (cos (fma (- (cbrt h1)) (* (cbrt h1) (cbrt h1)) (* (cbrt h1) (* (cbrt h1) (cbrt h1)))))) (* (sin (fma (sqrt h0) (sqrt h0) (- (* (cbrt h1) (* (cbrt h1) (cbrt h1)))))) (sin (fma (- (cbrt h1)) (* (cbrt h1) (cbrt h1)) (* (cbrt h1) (* (cbrt h1) (cbrt h1)))))) (* (cos (fma (sqrt h0) (sqrt h0) (- (* (sqrt h1) (sqrt h1))))) (cos (fma (- (sqrt h1)) (sqrt h1) (* (sqrt h1) (sqrt h1))))) (* (sin (fma (sqrt h0) (sqrt h0) (- (* (sqrt h1) (sqrt h1))))) (sin (fma (- (sqrt h1)) (sqrt h1) (* (sqrt h1) (sqrt h1))))) (* (cos (fma (sqrt h0) (sqrt h0) (- (* h1 1)))) (cos (fma (- h1) 1 (* h1 1)))) (* (sin (fma (sqrt h0) (sqrt h0) (- (* h1 1)))) (sin (fma (- h1) 1 (* h1 1)))) (* (cos (fma 1 h0 (- (* (cbrt h1) (* (cbrt h1) (cbrt h1)))))) (cos (fma (- (cbrt h1)) (* (cbrt h1) (cbrt h1)) (* (cbrt h1) (* (cbrt h1) (cbrt h1)))))) (* (sin (fma 1 h0 (- (* (cbrt h1) (* (cbrt h1) (cbrt h1)))))) (sin (fma (- (cbrt h1)) (* (cbrt h1) (cbrt h1)) (* (cbrt h1) (* (cbrt h1) (cbrt h1)))))) (* (cos (fma 1 h0 (- (* (sqrt h1) (sqrt h1))))) (cos (fma (- (sqrt h1)) (sqrt h1) (* (sqrt h1) (sqrt h1))))) (* (sin (fma 1 h0 (- (* (sqrt h1) (sqrt h1))))) (sin (fma (- (sqrt h1)) (sqrt h1) (* (sqrt h1) (sqrt h1))))) (* (cos (fma 1 h0 (- (* h1 1)))) (cos (fma (- h1) 1 (* h1 1)))) (* (sin (fma 1 h0 (- (* h1 1)))) (sin (fma (- h1) 1 (* h1 1)))) (* (cos h0) (cos (- h1))) (* (sin h0) (sin (- h1))) (* (cos h0) (cos (- h1))) (* (sin h0) (sin (- h1))) (* (cos h0) (cos h1)) (* (sin h0) (sin h1)) (log (cos (- h0 h1))) (exp (cos (- h0 h1))) (* (cbrt (cos (- h0 h1))) (cbrt (cos (- h0 h1)))) (cbrt (cos (- h0 h1))) (* (* (cos (- h0 h1)) (cos (- h0 h1))) (cos (- h0 h1))) (sqrt (cos (- h0 h1))) (sqrt (cos (- h0 h1))) (expm1 (acos (+ (* (sin h2) (sin h3)) (* (* (cos h2) (cos h3)) (cos (- h0 h1)))))) (log1p (acos (+ (* (sin h2) (sin h3)) (* (* (cos h2) (cos h3)) (cos (- h0 h1)))))) (/ h4 2) (asin (+ (* (sin h2) (sin h3)) (* (* (cos h2) (cos h3)) (cos (- h0 h1))))) (log (acos (+ (* (sin h2) (sin h3)) (* (* (cos h2) (cos h3)) (cos (- h0 h1)))))) (exp (acos (+ (* (sin h2) (sin h3)) (* (* (cos h2) (cos h3)) (cos (- h0 h1)))))) (* (cbrt (acos (+ (* (sin h2) (sin h3)) (* (* (cos h2) (cos h3)) (cos (- h0 h1)))))) (cbrt (acos (+ (* (sin h2) (sin h3)) (* (* (cos h2) (cos h3)) (cos (- h0 h1))))))) (cbrt (acos (+ (* (sin h2) (sin h3)) (* (* (cos h2) (cos h3)) (cos (- h0 h1)))))) (* (* (acos (+ (* (sin h2) (sin h3)) (* (* (cos h2) (cos h3)) (cos (- h0 h1))))) (acos (+ (* (sin h2) (sin h3)) (* (* (cos h2) (cos h3)) (cos (- h0 h1)))))) (acos (+ (* (sin h2) (sin h3)) (* (* (cos h2) (cos h3)) (cos (- h0 h1)))))) (sqrt (acos (+ (* (sin h2) (sin h3)) (* (* (cos h2) (cos h3)) (cos (- h0 h1)))))) (sqrt (acos (+ (* (sin h2) (sin h3)) (* (* (cos h2) (cos h3)) (cos (- h0 h1)))))) (expm1 (* (acos (+ (* (sin h2) (sin h3)) (* (* (cos h2) (cos h3)) (cos (- h0 h1))))) h5)) (log1p (* (acos (+ (* (sin h2) (sin h3)) (* (* (cos h2) (cos h3)) (cos (- h0 h1))))) h5)) (* (acos (+ (* (sin h2) (sin h3)) (* (* (cos h2) (cos h3)) (cos (- h0 h1))))) h5) (+ (log (acos (+ (* (sin h2) (sin h3)) (* (* (cos h2) (cos h3)) (cos (- h0 h1)))))) (log h5)) (log (* (acos (+ (* (sin h2) (sin h3)) (* (* (cos h2) (cos h3)) (cos (- h0 h1))))) h5)) (exp (* (acos (+ (* (sin h2) (sin h3)) (* (* (cos h2) (cos h3)) (cos (- h0 h1))))) h5)) (* (* (* (acos (+ (* (sin h2) (sin h3)) (* (* (cos h2) (cos h3)) (cos (- h0 h1))))) (acos (+ (* (sin h2) (sin h3)) (* (* (cos h2) (cos h3)) (cos (- h0 h1)))))) (acos (+ (* (sin h2) (sin h3)) (* (* (cos h2) (cos h3)) (cos (- h0 h1)))))) (* (* h5 h5) h5)) (* (cbrt (* (acos (+ (* (sin h2) (sin h3)) (* (* (cos h2) (cos h3)) (cos (- h0 h1))))) h5)) (cbrt (* (acos (+ (* (sin h2) (sin h3)) (* (* (cos h2) (cos h3)) (cos (- h0 h1))))) h5))) (cbrt (* (acos (+ (* (sin h2) (sin h3)) (* (* (cos h2) (cos h3)) (cos (- h0 h1))))) h5)) (* (* (* (acos (+ (* (sin h2) (sin h3)) (* (* (cos h2) (cos h3)) (cos (- h0 h1))))) h5) (* (acos (+ (* (sin h2) (sin h3)) (* (* (cos h2) (cos h3)) (cos (- h0 h1))))) h5)) (* (acos (+ (* (sin h2) (sin h3)) (* (* (cos h2) (cos h3)) (cos (- h0 h1))))) h5)) (sqrt (* (acos (+ (* (sin h2) (sin h3)) (* (* (cos h2) (cos h3)) (cos (- h0 h1))))) h5)) (sqrt (* (acos (+ (* (sin h2) (sin h3)) (* (* (cos h2) (cos h3)) (cos (- h0 h1))))) h5)) (* (sqrt (acos (+ (* (sin h2) (sin h3)) (* (* (cos h2) (cos h3)) (cos (- h0 h1)))))) (sqrt h5)) (* (sqrt (acos (+ (* (sin h2) (sin h3)) (* (* (cos h2) (cos h3)) (cos (- h0 h1)))))) (sqrt h5)) (* (acos (+ (* (sin h2) (sin h3)) (* (* (cos h2) (cos h3)) (cos (- h0 h1))))) (* (cbrt h5) (cbrt h5))) (* (acos (+ (* (sin h2) (sin h3)) (* (* (cos h2) (cos h3)) (cos (- h0 h1))))) (sqrt h5)) (* (acos (+ (* (sin h2) (sin h3)) (* (* (cos h2) (cos h3)) (cos (- h0 h1))))) 1) (* (cbrt (acos (+ (* (sin h2) (sin h3)) (* (* (cos h2) (cos h3)) (cos (- h0 h1)))))) h5) (* (sqrt (acos (+ (* (sin h2) (sin h3)) (* (* (cos h2) (cos h3)) (cos (- h0 h1)))))) h5) (* (acos (+ (* (sin h2) (sin h3)) (* (* (cos h2) (cos h3)) (cos (- h0 h1))))) h5) (expm1 (* (sin h2) (sin h3))) (log1p (* (sin h2) (sin h3))) (- (cos (- h2 h3)) (cos (+ h2 h3))) (* (sin h2) (sin h3)) (+ (log (sin h2)) (log (sin h3))) (log (* (sin h2) (sin h3))) (exp (* (sin h2) (sin h3))) (* (* (* (sin h2) (sin h2)) (sin h2)) (* (* (sin h3) (sin h3)) (sin h3))) (* (cbrt (* (sin h2) (sin h3))) (cbrt (* (sin h2) (sin h3)))) (cbrt (* (sin h2) (sin h3))) (* (* (* (sin h2) (sin h3)) (* (sin h2) (sin h3))) (* (sin h2) (sin h3))) (sqrt (* (sin h2) (sin h3))) (sqrt (* (sin h2) (sin h3))) (* (sqrt (sin h2)) (sqrt (sin h3))) (* (sqrt (sin h2)) (sqrt (sin h3))) (* (sin h2) (* (cbrt (sin h3)) (cbrt (sin h3)))) (* (sin h2) (sqrt (sin h3))) (* (sin h2) 1) (* (cbrt (sin h2)) (sin h3)) (* (sqrt (sin h2)) (sin h3)) (* (sin h2) (sin h3)) (- (+ 1 (* h1 h0)) (* 1/2 (pow h0 2))) (cos (- h0 h1)) (cos (- h0 h1)) (acos (+ (* (sin h2) (sin h3)) (* (cos h2) (* (cos (- h0 h1)) (cos h3))))) (acos (+ (* (sin h2) (sin h3)) (* (cos h2) (* (cos (- h0 h1)) (cos h3))))) (acos (+ (* (sin h2) (sin h3)) (* (cos h2) (* (cos (- h0 h1)) (cos h3))))) (* (acos (+ (* (sin h2) (sin h3)) (* (cos h2) (* (cos (- h0 h1)) (cos h3))))) h5) (* (acos (+ (* (sin h2) (sin h3)) (* (cos h2) (* (cos (- h0 h1)) (cos h3))))) h5) (* (acos (+ (* (sin h2) (sin h3)) (* (cos h2) (* (cos (- h0 h1)) (cos h3))))) h5) (* h3 h2) (* (sin h2) (sin h3)) (* (sin h2) (sin h3)) 0.473 * * [simplify]: iteration 0 : 323 enodes (cost 995 ) 0.478 * * [simplify]: iteration 1 : 789 enodes (cost 819 ) 0.490 * * [simplify]: iteration 2 : 2620 enodes (cost 818 ) 0.526 * * [simplify]: iteration 3 : 5002 enodes (cost 793 ) 0.529 * * * [progress]: adding candidates to table 0.811 * * [progress]: iteration 2 / 4 0.811 * * * [progress]: picking best candidate 0.876 * * * * [pick]: Picked # 0.876 * * * [progress]: localizing error 0.909 * * * [progress]: generating rewritten candidates 0.909 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.910 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.917 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 0.929 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 2 2) 0.945 * * * [progress]: generating series expansions 0.945 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.946 * [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))))))) 0.946 * [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 0.946 * [taylor]: Taking 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))))))) 0.949 * [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 0.949 * [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 phi1 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 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 0.951 * [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 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (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 0.952 * [taylor]: Taking taylor expansion of 0 in phi2 0.952 * [backup-simplify]: Simplify 0 into 0 0.952 * [taylor]: Taking taylor expansion of 0 in lambda1 0.952 * [backup-simplify]: Simplify 0 into 0 0.952 * [taylor]: Taking taylor expansion of 0 in lambda2 0.952 * [backup-simplify]: Simplify 0 into 0 0.952 * [backup-simplify]: Simplify 0 into 0 0.952 * [taylor]: Taking taylor expansion of 0 in lambda1 0.952 * [backup-simplify]: Simplify 0 into 0 0.952 * [taylor]: Taking taylor expansion of 0 in lambda2 0.952 * [backup-simplify]: Simplify 0 into 0 0.952 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 0.953 * [approximate]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 0.953 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 0.953 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 0.953 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 0.954 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 0.954 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 0.954 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 0.954 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 0.955 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 0.955 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 0.955 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 0.956 * [backup-simplify]: Simplify (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 0.956 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 0.956 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 0.957 * [backup-simplify]: Simplify (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 0.957 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 0.957 * [taylor]: Taking taylor expansion of 0 in phi2 0.957 * [backup-simplify]: Simplify 0 into 0 0.957 * [taylor]: Taking taylor expansion of 0 in lambda1 0.957 * [backup-simplify]: Simplify 0 into 0 0.957 * [taylor]: Taking taylor expansion of 0 in lambda2 0.957 * [backup-simplify]: Simplify 0 into 0 0.957 * [backup-simplify]: Simplify 0 into 0 0.957 * [taylor]: Taking taylor expansion of 0 in lambda1 0.957 * [backup-simplify]: Simplify 0 into 0 0.957 * [taylor]: Taking taylor expansion of 0 in lambda2 0.957 * [backup-simplify]: Simplify 0 into 0 0.957 * [backup-simplify]: Simplify 0 into 0 0.957 * [taylor]: Taking taylor expansion of 0 in lambda2 0.957 * [backup-simplify]: Simplify 0 into 0 0.958 * [backup-simplify]: Simplify 0 into 0 0.958 * [backup-simplify]: Simplify 0 into 0 0.958 * [taylor]: Taking taylor expansion of 0 in phi2 0.958 * [backup-simplify]: Simplify 0 into 0 0.958 * [taylor]: Taking taylor expansion of 0 in lambda1 0.958 * [backup-simplify]: Simplify 0 into 0 0.958 * [taylor]: Taking taylor expansion of 0 in lambda2 0.958 * [backup-simplify]: Simplify 0 into 0 0.958 * [backup-simplify]: Simplify 0 into 0 0.958 * [taylor]: Taking taylor expansion of 0 in lambda1 0.958 * [backup-simplify]: Simplify 0 into 0 0.958 * [taylor]: Taking taylor expansion of 0 in lambda2 0.958 * [backup-simplify]: Simplify 0 into 0 0.958 * [backup-simplify]: Simplify 0 into 0 0.958 * [backup-simplify]: Simplify (acos (- (+ (* (sin (/ 1 (/ 1 phi1))) (sin (/ 1 (/ 1 phi2)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi1))) (cos (/ 1 (/ 1 lambda1))))))) (* (sin (/ 1 (/ 1 lambda1))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 phi1))) (sin (- (/ 1 (/ 1 lambda2))))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 0.959 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 0.959 * [approximate]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in (phi1 phi2 lambda1 lambda2) around 0 0.959 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 0.959 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 0.959 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 0.960 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 0.960 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 0.960 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 0.960 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 0.961 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 0.961 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 0.961 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 0.961 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 0.962 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 0.962 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 0.962 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 0.962 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 0.963 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 0.963 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 0.963 * [taylor]: Taking taylor expansion of 0 in phi2 0.964 * [backup-simplify]: Simplify 0 into 0 0.964 * [taylor]: Taking taylor expansion of 0 in lambda1 0.964 * [backup-simplify]: Simplify 0 into 0 0.964 * [taylor]: Taking taylor expansion of 0 in lambda2 0.964 * [backup-simplify]: Simplify 0 into 0 0.964 * [backup-simplify]: Simplify 0 into 0 0.964 * [taylor]: Taking taylor expansion of 0 in lambda1 0.964 * [backup-simplify]: Simplify 0 into 0 0.964 * [taylor]: Taking taylor expansion of 0 in lambda2 0.964 * [backup-simplify]: Simplify 0 into 0 0.964 * [backup-simplify]: Simplify 0 into 0 0.964 * [taylor]: Taking taylor expansion of 0 in lambda2 0.964 * [backup-simplify]: Simplify 0 into 0 0.964 * [backup-simplify]: Simplify 0 into 0 0.964 * [backup-simplify]: Simplify 0 into 0 0.964 * [taylor]: Taking taylor expansion of 0 in phi2 0.964 * [backup-simplify]: Simplify 0 into 0 0.964 * [taylor]: Taking taylor expansion of 0 in lambda1 0.964 * [backup-simplify]: Simplify 0 into 0 0.964 * [taylor]: Taking taylor expansion of 0 in lambda2 0.964 * [backup-simplify]: Simplify 0 into 0 0.964 * [backup-simplify]: Simplify 0 into 0 0.964 * [taylor]: Taking taylor expansion of 0 in lambda1 0.964 * [backup-simplify]: Simplify 0 into 0 0.964 * [taylor]: Taking taylor expansion of 0 in lambda2 0.964 * [backup-simplify]: Simplify 0 into 0 0.964 * [backup-simplify]: Simplify 0 into 0 0.965 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2))))))) (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2)))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (sin (/ 1 (/ 1 (- lambda2)))) (cos (/ -1 (/ 1 (- phi2))))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) 0.965 * * * * [progress]: [ 2 / 4 ] generating series at (2) 0.965 * [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) 0.965 * [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 0.965 * [taylor]: Taking 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 0.965 * [taylor]: Taking 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 0.965 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 0.965 * [taylor]: Taking taylor expansion of R in R 0.966 * [backup-simplify]: Simplify 0 into 0 0.966 * [backup-simplify]: Simplify 1 into 1 0.966 * [taylor]: Taking 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 0.966 * [taylor]: Taking 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 0.966 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 0.966 * [taylor]: Taking taylor expansion of R in lambda2 0.966 * [backup-simplify]: Simplify R into R 0.966 * [taylor]: Taking 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 0.966 * [taylor]: Taking 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 0.966 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 0.966 * [taylor]: Taking taylor expansion of R in lambda1 0.966 * [backup-simplify]: Simplify R into R 0.966 * [taylor]: Taking 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 0.966 * [taylor]: Taking 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 0.967 * [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 phi2 0.967 * [backup-simplify]: Simplify R into 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))))))) R) in phi1 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 phi1 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 phi1 0.967 * [backup-simplify]: Simplify R into 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))))))) R) in phi1 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 phi1 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 phi1 0.968 * [backup-simplify]: Simplify R into R 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))))))) R) into (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) 0.968 * [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 0.968 * [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 phi2 0.968 * [backup-simplify]: Simplify R into R 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))))))) R) into (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) 0.969 * [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 lambda1 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 lambda1 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 lambda1 0.969 * [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 lambda2 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 lambda2 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 lambda2 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 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))))))) in 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))))))) 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 R 0.971 * [backup-simplify]: Simplify 0 into 0 0.971 * [backup-simplify]: Simplify 1 into 1 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))))))) 0) into 0 0.971 * [backup-simplify]: Simplify 0 into 0 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))))))) 0) (* 0 R)) into 0 0.972 * [taylor]: Taking taylor expansion of 0 in phi2 0.972 * [backup-simplify]: Simplify 0 into 0 0.972 * [taylor]: Taking taylor expansion of 0 in lambda1 0.972 * [backup-simplify]: Simplify 0 into 0 0.972 * [taylor]: Taking taylor expansion of 0 in lambda2 0.972 * [backup-simplify]: Simplify 0 into 0 0.972 * [taylor]: Taking taylor expansion of 0 in R 0.972 * [backup-simplify]: Simplify 0 into 0 0.972 * [backup-simplify]: Simplify 0 into 0 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))))))) 0) (* 0 R)) into 0 0.972 * [taylor]: Taking taylor expansion of 0 in lambda1 0.972 * [backup-simplify]: Simplify 0 into 0 0.972 * [taylor]: Taking taylor expansion of 0 in lambda2 0.972 * [backup-simplify]: Simplify 0 into 0 0.972 * [taylor]: Taking taylor expansion of 0 in R 0.972 * [backup-simplify]: Simplify 0 into 0 0.972 * [backup-simplify]: Simplify 0 into 0 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) (* 0 R)) into 0 0.973 * [taylor]: Taking taylor expansion of 0 in lambda2 0.973 * [backup-simplify]: Simplify 0 into 0 0.973 * [taylor]: Taking taylor expansion of 0 in R 0.973 * [backup-simplify]: Simplify 0 into 0 0.973 * [backup-simplify]: Simplify 0 into 0 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) (* 0 R)) into 0 0.973 * [taylor]: Taking taylor expansion of 0 in R 0.973 * [backup-simplify]: Simplify 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))))))) 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))))))) 0.974 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 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 0) (* 0 R))) into 0 0.975 * [taylor]: Taking taylor expansion of 0 in phi2 0.975 * [backup-simplify]: Simplify 0 into 0 0.975 * [taylor]: Taking taylor expansion of 0 in lambda1 0.975 * [backup-simplify]: Simplify 0 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 * [taylor]: Taking taylor expansion of 0 in lambda1 0.975 * [backup-simplify]: Simplify 0 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 0.976 * [backup-simplify]: Simplify (+ (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 0) (+ (* 0 0) (* 0 R))) into 0 0.976 * [taylor]: Taking taylor expansion of 0 in lambda1 0.976 * [backup-simplify]: Simplify 0 into 0 0.976 * [taylor]: Taking taylor expansion of 0 in lambda2 0.976 * [backup-simplify]: Simplify 0 into 0 0.976 * [taylor]: Taking taylor expansion of 0 in R 0.976 * [backup-simplify]: Simplify 0 into 0 0.976 * [backup-simplify]: Simplify 0 into 0 0.976 * [taylor]: Taking taylor expansion of 0 in lambda2 0.976 * [backup-simplify]: Simplify 0 into 0 0.976 * [taylor]: Taking taylor expansion of 0 in R 0.976 * [backup-simplify]: Simplify 0 into 0 0.976 * [backup-simplify]: Simplify 0 into 0 0.976 * [taylor]: Taking taylor expansion of 0 in lambda2 0.976 * [backup-simplify]: Simplify 0 into 0 0.976 * [taylor]: Taking taylor expansion of 0 in R 0.976 * [backup-simplify]: Simplify 0 into 0 0.976 * [backup-simplify]: Simplify 0 into 0 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))))))) 0) (+ (* 0 0) (* 0 R))) into 0 0.977 * [taylor]: Taking taylor expansion of 0 in lambda2 0.977 * [backup-simplify]: Simplify 0 into 0 0.977 * [taylor]: Taking taylor expansion of 0 in R 0.977 * [backup-simplify]: Simplify 0 into 0 0.977 * [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))))))) (* 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) 0.978 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))) (/ 1 R)) into (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) 0.978 * [approximate]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 0.979 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in R 0.979 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in R 0.979 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 0.979 * [taylor]: Taking taylor expansion of R in R 0.979 * [backup-simplify]: Simplify 0 into 0 0.979 * [backup-simplify]: Simplify 1 into 1 0.980 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1) into (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 0.980 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in lambda2 0.980 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 0.980 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 0.980 * [taylor]: Taking taylor expansion of R in lambda2 0.980 * [backup-simplify]: Simplify R into R 0.981 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) into (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) 0.981 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in lambda1 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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 0.981 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 0.981 * [taylor]: Taking taylor expansion of R in lambda1 0.981 * [backup-simplify]: Simplify R into R 0.982 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) into (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) 0.982 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in phi2 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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 0.982 * [taylor]: Taking taylor expansion of R in phi2 0.982 * [backup-simplify]: Simplify R into R 0.983 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) into (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) 0.983 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in phi1 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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 0.983 * [taylor]: Taking taylor expansion of R in phi1 0.983 * [backup-simplify]: Simplify R into R 0.984 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) into (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) 0.984 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in phi1 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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 0.985 * [taylor]: Taking taylor expansion of R in phi1 0.985 * [backup-simplify]: Simplify R into R 0.985 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) into (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) 0.985 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in phi2 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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 0.986 * [taylor]: Taking taylor expansion of R in phi2 0.986 * [backup-simplify]: Simplify R into R 0.986 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) into (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) 0.986 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in lambda1 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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 0.987 * [taylor]: Taking taylor expansion of R in lambda1 0.987 * [backup-simplify]: Simplify R into R 0.987 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) into (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) 0.987 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in lambda2 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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 0.988 * [taylor]: Taking taylor expansion of R in lambda2 0.988 * [backup-simplify]: Simplify R into R 0.988 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) into (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) 0.988 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in 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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in 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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 0.989 * [taylor]: Taking taylor expansion of R in R 0.989 * [backup-simplify]: Simplify 0 into 0 0.989 * [backup-simplify]: Simplify 1 into 1 0.989 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1) into (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 0.990 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 0.991 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) (/ 0 R)))) into 0 0.991 * [taylor]: Taking taylor expansion of 0 in phi2 0.991 * [backup-simplify]: Simplify 0 into 0 0.991 * [taylor]: Taking taylor expansion of 0 in lambda1 0.991 * [backup-simplify]: Simplify 0 into 0 0.991 * [taylor]: Taking taylor expansion of 0 in lambda2 0.991 * [backup-simplify]: Simplify 0 into 0 0.991 * [taylor]: Taking taylor expansion of 0 in R 0.991 * [backup-simplify]: Simplify 0 into 0 0.991 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) (/ 0 R)))) into 0 0.992 * [taylor]: Taking taylor expansion of 0 in lambda1 0.992 * [backup-simplify]: Simplify 0 into 0 0.992 * [taylor]: Taking taylor expansion of 0 in lambda2 0.992 * [backup-simplify]: Simplify 0 into 0 0.992 * [taylor]: Taking taylor expansion of 0 in R 0.992 * [backup-simplify]: Simplify 0 into 0 0.992 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) (/ 0 R)))) into 0 0.992 * [taylor]: Taking taylor expansion of 0 in lambda2 0.992 * [backup-simplify]: Simplify 0 into 0 0.992 * [taylor]: Taking taylor expansion of 0 in R 0.992 * [backup-simplify]: Simplify 0 into 0 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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) (/ 0 R)))) into 0 0.993 * [taylor]: Taking taylor expansion of 0 in R 0.993 * [backup-simplify]: Simplify 0 into 0 0.994 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) (/ 0 1)))) into 0 0.994 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 0.995 * [taylor]: Taking taylor expansion of 0 in phi2 0.995 * [backup-simplify]: Simplify 0 into 0 0.995 * [taylor]: Taking taylor expansion of 0 in lambda1 0.995 * [backup-simplify]: Simplify 0 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 0.995 * [taylor]: Taking taylor expansion of 0 in lambda1 0.995 * [backup-simplify]: Simplify 0 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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 0.996 * [taylor]: Taking taylor expansion of 0 in lambda1 0.996 * [backup-simplify]: Simplify 0 into 0 0.996 * [taylor]: Taking taylor expansion of 0 in lambda2 0.996 * [backup-simplify]: Simplify 0 into 0 0.996 * [taylor]: Taking taylor expansion of 0 in R 0.996 * [backup-simplify]: Simplify 0 into 0 0.996 * [taylor]: Taking taylor expansion of 0 in lambda2 0.996 * [backup-simplify]: Simplify 0 into 0 0.996 * [taylor]: Taking taylor expansion of 0 in R 0.996 * [backup-simplify]: Simplify 0 into 0 0.996 * [taylor]: Taking taylor expansion of 0 in lambda2 0.996 * [backup-simplify]: Simplify 0 into 0 0.996 * [taylor]: Taking taylor expansion of 0 in R 0.996 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 0.996 * [taylor]: Taking taylor expansion of 0 in lambda2 0.996 * [backup-simplify]: Simplify 0 into 0 0.996 * [taylor]: Taking taylor expansion of 0 in R 0.996 * [backup-simplify]: Simplify 0 into 0 0.997 * [taylor]: Taking taylor expansion of 0 in R 0.997 * [backup-simplify]: Simplify 0 into 0 0.997 * [taylor]: Taking taylor expansion of 0 in R 0.997 * [backup-simplify]: Simplify 0 into 0 0.997 * [taylor]: Taking taylor expansion of 0 in R 0.997 * [backup-simplify]: Simplify 0 into 0 0.997 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 0.997 * [taylor]: Taking taylor expansion of 0 in R 0.997 * [backup-simplify]: Simplify 0 into 0 0.997 * [backup-simplify]: Simplify 0 into 0 0.997 * [backup-simplify]: Simplify 0 into 0 0.997 * [backup-simplify]: Simplify 0 into 0 0.997 * [backup-simplify]: Simplify 0 into 0 0.999 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.999 * [backup-simplify]: Simplify 0 into 0 1.000 * [backup-simplify]: Simplify (* (acos (- (+ (* (sin (/ 1 (/ 1 phi1))) (sin (/ 1 (/ 1 phi2)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi1))) (cos (/ 1 (/ 1 lambda1))))))) (* (sin (/ 1 (/ 1 lambda1))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 phi1))) (sin (- (/ 1 (/ 1 lambda2))))))))) (* (/ 1 (/ 1 R)) (* 1 (* 1 (* 1 1))))) into (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) 1.000 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))) (/ 1 (- R))) into (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) 1.000 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 1.000 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in R 1.000 * [taylor]: Taking taylor expansion of -1 in R 1.000 * [backup-simplify]: Simplify -1 into -1 1.000 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in R 1.000 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in R 1.001 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.001 * [taylor]: Taking taylor expansion of R in R 1.001 * [backup-simplify]: Simplify 0 into 0 1.001 * [backup-simplify]: Simplify 1 into 1 1.001 * [backup-simplify]: Simplify (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.001 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda2 1.002 * [taylor]: Taking taylor expansion of -1 in lambda2 1.002 * [backup-simplify]: Simplify -1 into -1 1.002 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda2 1.002 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 1.002 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.002 * [taylor]: Taking taylor expansion of R in lambda2 1.002 * [backup-simplify]: Simplify R into R 1.003 * [backup-simplify]: Simplify (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) into (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) 1.003 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda1 1.003 * [taylor]: Taking taylor expansion of -1 in lambda1 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))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda1 1.003 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 1.003 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.003 * [taylor]: Taking taylor expansion of R in lambda1 1.003 * [backup-simplify]: Simplify R into R 1.004 * [backup-simplify]: Simplify (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) into (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) 1.004 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi2 1.004 * [taylor]: Taking taylor expansion of -1 in phi2 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))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi2 1.004 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 1.004 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.004 * [taylor]: Taking taylor expansion of R in phi2 1.004 * [backup-simplify]: Simplify R into R 1.005 * [backup-simplify]: Simplify (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) into (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) 1.005 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi1 1.005 * [taylor]: Taking taylor expansion of -1 in phi1 1.005 * [backup-simplify]: Simplify -1 into -1 1.005 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi1 1.005 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 1.005 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.005 * [taylor]: Taking taylor expansion of R in phi1 1.005 * [backup-simplify]: Simplify R into R 1.006 * [backup-simplify]: Simplify (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) into (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) 1.006 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi1 1.006 * [taylor]: Taking taylor expansion of -1 in phi1 1.006 * [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))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi1 1.006 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 1.006 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.006 * [taylor]: Taking taylor expansion of R in phi1 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))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) into (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) 1.008 * [backup-simplify]: Simplify (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) into (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) 1.008 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi2 1.008 * [taylor]: Taking taylor expansion of -1 in phi2 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))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi2 1.008 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 1.008 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.008 * [taylor]: Taking taylor expansion of R in phi2 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))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) into (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) 1.009 * [backup-simplify]: Simplify (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) into (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) 1.009 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda1 1.009 * [taylor]: Taking taylor expansion of -1 in lambda1 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))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda1 1.009 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 1.010 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.010 * [taylor]: Taking taylor expansion of R in lambda1 1.010 * [backup-simplify]: Simplify R into R 1.010 * [backup-simplify]: Simplify (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) into (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) 1.011 * [backup-simplify]: Simplify (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) into (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) 1.011 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda2 1.011 * [taylor]: Taking taylor expansion of -1 in lambda2 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))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda2 1.011 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 1.011 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.011 * [taylor]: Taking taylor expansion of R in lambda2 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))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) into (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) 1.012 * [backup-simplify]: Simplify (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) into (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) 1.012 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in R 1.012 * [taylor]: Taking taylor expansion of -1 in R 1.013 * [backup-simplify]: Simplify -1 into -1 1.013 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in R 1.013 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in R 1.013 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.013 * [taylor]: Taking taylor expansion of R in R 1.013 * [backup-simplify]: Simplify 0 into 0 1.013 * [backup-simplify]: Simplify 1 into 1 1.014 * [backup-simplify]: Simplify (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.014 * [backup-simplify]: Simplify (* -1 (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) into (* -1 (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) 1.015 * [backup-simplify]: Simplify (* -1 (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) into (* -1 (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) 1.015 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) (/ 0 R)))) into 0 1.016 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R))) into 0 1.016 * [taylor]: Taking taylor expansion of 0 in phi2 1.016 * [backup-simplify]: Simplify 0 into 0 1.016 * [taylor]: Taking taylor expansion of 0 in lambda1 1.016 * [backup-simplify]: Simplify 0 into 0 1.016 * [taylor]: Taking taylor expansion of 0 in lambda2 1.016 * [backup-simplify]: Simplify 0 into 0 1.016 * [taylor]: Taking taylor expansion of 0 in R 1.016 * [backup-simplify]: Simplify 0 into 0 1.017 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) (/ 0 R)))) into 0 1.018 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R))) into 0 1.018 * [taylor]: Taking taylor expansion of 0 in lambda1 1.018 * [backup-simplify]: Simplify 0 into 0 1.018 * [taylor]: Taking taylor expansion of 0 in lambda2 1.018 * [backup-simplify]: Simplify 0 into 0 1.018 * [taylor]: Taking taylor expansion of 0 in R 1.018 * [backup-simplify]: Simplify 0 into 0 1.018 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) (/ 0 R)))) into 0 1.019 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R))) into 0 1.019 * [taylor]: Taking taylor expansion of 0 in lambda2 1.019 * [backup-simplify]: Simplify 0 into 0 1.019 * [taylor]: Taking taylor expansion of 0 in R 1.019 * [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))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -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))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R))) 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 1) (+ (* (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) (/ 0 1)))) into 0 1.023 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))))) into 0 1.023 * [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))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 1.024 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)))) into 0 1.024 * [taylor]: Taking taylor expansion of 0 in phi2 1.024 * [backup-simplify]: Simplify 0 into 0 1.024 * [taylor]: Taking taylor expansion of 0 in lambda1 1.024 * [backup-simplify]: Simplify 0 into 0 1.024 * [taylor]: Taking taylor expansion of 0 in lambda2 1.024 * [backup-simplify]: Simplify 0 into 0 1.024 * [taylor]: Taking taylor expansion of 0 in R 1.024 * [backup-simplify]: Simplify 0 into 0 1.024 * [taylor]: Taking taylor expansion of 0 in lambda1 1.024 * [backup-simplify]: Simplify 0 into 0 1.024 * [taylor]: Taking taylor expansion of 0 in lambda2 1.024 * [backup-simplify]: Simplify 0 into 0 1.024 * [taylor]: Taking taylor expansion of 0 in R 1.024 * [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))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 1.028 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)))) into 0 1.028 * [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 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 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))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 1.030 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)))) into 0 1.030 * [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 R 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 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))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 1.032 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)))) into 0 1.032 * [taylor]: Taking taylor expansion of 0 in R 1.032 * [backup-simplify]: Simplify 0 into 0 1.032 * [backup-simplify]: Simplify 0 into 0 1.032 * [backup-simplify]: Simplify 0 into 0 1.032 * [backup-simplify]: Simplify 0 into 0 1.032 * [backup-simplify]: Simplify 0 into 0 1.033 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.034 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))))) into 0 1.034 * [backup-simplify]: Simplify 0 into 0 1.035 * [backup-simplify]: Simplify (* (* -1 (acos (- (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2))))))) (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2)))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (sin (/ 1 (/ 1 (- lambda2)))) (cos (/ -1 (/ 1 (- phi2)))))))))) (* (/ 1 (/ 1 (- R))) (* 1 (* 1 (* 1 1))))) into (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) R) 1.035 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 1.035 * [backup-simplify]: Simplify (* (sin phi1) (sin phi2)) into (* (sin phi1) (sin phi2)) 1.035 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 1.036 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 1.036 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 1.036 * [taylor]: Taking taylor expansion of phi1 in phi2 1.036 * [backup-simplify]: Simplify phi1 into phi1 1.036 * [backup-simplify]: Simplify (sin phi1) into (sin phi1) 1.036 * [backup-simplify]: Simplify (cos phi1) into (cos phi1) 1.036 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.036 * [taylor]: Taking taylor expansion of phi2 in phi2 1.036 * [backup-simplify]: Simplify 0 into 0 1.036 * [backup-simplify]: Simplify 1 into 1 1.036 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 1.036 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 1.036 * [taylor]: Taking taylor expansion of phi1 in phi1 1.036 * [backup-simplify]: Simplify 0 into 0 1.036 * [backup-simplify]: Simplify 1 into 1 1.036 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 1.036 * [taylor]: Taking taylor expansion of phi2 in phi1 1.036 * [backup-simplify]: Simplify phi2 into phi2 1.036 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 1.036 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 1.036 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 1.036 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 1.036 * [taylor]: Taking taylor expansion of phi1 in phi1 1.036 * [backup-simplify]: Simplify 0 into 0 1.036 * [backup-simplify]: Simplify 1 into 1 1.036 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 1.036 * [taylor]: Taking taylor expansion of phi2 in phi1 1.036 * [backup-simplify]: Simplify phi2 into phi2 1.036 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 1.036 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 1.036 * [backup-simplify]: Simplify (* (sin phi2) 1) into (sin phi2) 1.036 * [backup-simplify]: Simplify (* (cos phi2) 0) into 0 1.036 * [backup-simplify]: Simplify (+ (sin phi2) 0) into (sin phi2) 1.036 * [backup-simplify]: Simplify (* 0 (sin phi2)) into 0 1.036 * [taylor]: Taking taylor expansion of 0 in phi2 1.036 * [backup-simplify]: Simplify 0 into 0 1.036 * [backup-simplify]: Simplify 0 into 0 1.037 * [backup-simplify]: Simplify (+ 0) into 0 1.037 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (* 0 1)) into 0 1.037 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.038 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (* 0 0)) into 0 1.038 * [backup-simplify]: Simplify (+ 0 0) into 0 1.038 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.038 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin phi2))) into (sin phi2) 1.038 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.038 * [taylor]: Taking taylor expansion of phi2 in phi2 1.038 * [backup-simplify]: Simplify 0 into 0 1.038 * [backup-simplify]: Simplify 1 into 1 1.038 * [backup-simplify]: Simplify 0 into 0 1.039 * [backup-simplify]: Simplify 0 into 0 1.039 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.039 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (* 0 1))) into 0 1.040 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.040 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* 0 0))) into 0 1.040 * [backup-simplify]: Simplify (+ 0 0) into 0 1.041 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.041 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin phi2)))) into 0 1.041 * [taylor]: Taking taylor expansion of 0 in phi2 1.041 * [backup-simplify]: Simplify 0 into 0 1.041 * [backup-simplify]: Simplify 0 into 0 1.042 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.042 * [backup-simplify]: Simplify 1 into 1 1.042 * [backup-simplify]: Simplify 0 into 0 1.042 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.043 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.044 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.044 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.044 * [backup-simplify]: Simplify (+ 0 0) into 0 1.045 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 1.046 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin phi2))))) into (- (* 1/6 (sin phi2))) 1.046 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 1.046 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 1.046 * [taylor]: Taking taylor expansion of 1/6 in phi2 1.046 * [backup-simplify]: Simplify 1/6 into 1/6 1.046 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.046 * [taylor]: Taking taylor expansion of phi2 in phi2 1.046 * [backup-simplify]: Simplify 0 into 0 1.046 * [backup-simplify]: Simplify 1 into 1 1.046 * [backup-simplify]: Simplify (* 1/6 0) into 0 1.046 * [backup-simplify]: Simplify (- 0) into 0 1.046 * [backup-simplify]: Simplify 0 into 0 1.046 * [backup-simplify]: Simplify 0 into 0 1.047 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.047 * [backup-simplify]: Simplify 0 into 0 1.047 * [backup-simplify]: Simplify 0 into 0 1.048 * [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 1.048 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.049 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.050 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 1.050 * [backup-simplify]: Simplify (+ 0 0) into 0 1.051 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.051 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin phi2)))))) into 0 1.052 * [taylor]: Taking taylor expansion of 0 in phi2 1.052 * [backup-simplify]: Simplify 0 into 0 1.052 * [backup-simplify]: Simplify 0 into 0 1.052 * [backup-simplify]: Simplify (* 1 (* phi2 phi1)) into (* phi2 phi1) 1.052 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 1.052 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 1.052 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 1.052 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 1.052 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.052 * [taylor]: Taking taylor expansion of phi1 in phi2 1.052 * [backup-simplify]: Simplify phi1 into phi1 1.052 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.052 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 1.052 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 1.052 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 1.052 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.052 * [taylor]: Taking taylor expansion of phi2 in phi2 1.052 * [backup-simplify]: Simplify 0 into 0 1.052 * [backup-simplify]: Simplify 1 into 1 1.052 * [backup-simplify]: Simplify (/ 1 1) into 1 1.052 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 1.052 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 1.052 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 1.052 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.052 * [taylor]: Taking taylor expansion of phi1 in phi1 1.052 * [backup-simplify]: Simplify 0 into 0 1.052 * [backup-simplify]: Simplify 1 into 1 1.053 * [backup-simplify]: Simplify (/ 1 1) into 1 1.053 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 1.053 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 1.053 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.053 * [taylor]: Taking taylor expansion of phi2 in phi1 1.053 * [backup-simplify]: Simplify phi2 into phi2 1.053 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.053 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 1.053 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 1.053 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 1.053 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 1.053 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.053 * [taylor]: Taking taylor expansion of phi1 in phi1 1.053 * [backup-simplify]: Simplify 0 into 0 1.053 * [backup-simplify]: Simplify 1 into 1 1.053 * [backup-simplify]: Simplify (/ 1 1) into 1 1.053 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 1.053 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 1.053 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.053 * [taylor]: Taking taylor expansion of phi2 in phi1 1.053 * [backup-simplify]: Simplify phi2 into phi2 1.053 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.053 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 1.053 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 1.053 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 1) into (sin (/ 1 phi2)) 1.054 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 0) into 0 1.054 * [backup-simplify]: Simplify (+ (sin (/ 1 phi2)) 0) into (sin (/ 1 phi2)) 1.054 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 1.054 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 1.054 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 1.054 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.054 * [taylor]: Taking taylor expansion of phi1 in phi2 1.054 * [backup-simplify]: Simplify phi1 into phi1 1.054 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.054 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 1.054 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 1.054 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 1.054 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.054 * [taylor]: Taking taylor expansion of phi2 in phi2 1.054 * [backup-simplify]: Simplify 0 into 0 1.054 * [backup-simplify]: Simplify 1 into 1 1.054 * [backup-simplify]: Simplify (/ 1 1) into 1 1.054 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 1.054 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 1) into (sin (/ 1 phi1)) 1.054 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 0) into 0 1.054 * [backup-simplify]: Simplify (+ (sin (/ 1 phi1)) 0) into (sin (/ 1 phi1)) 1.054 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 1.055 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 1.055 * [backup-simplify]: Simplify (+ 0) into 0 1.055 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 1)) into 0 1.055 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1.056 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.056 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 0)) into 0 1.056 * [backup-simplify]: Simplify (+ 0 0) into 0 1.056 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 (sin (/ 1 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 (+ 0) into 0 1.057 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 1)) into 0 1.057 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1.057 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.058 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 0)) into 0 1.058 * [backup-simplify]: Simplify (+ 0 0) into 0 1.058 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 (sin (/ 1 phi2)))) into 0 1.058 * [backup-simplify]: Simplify 0 into 0 1.058 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.059 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 1.059 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.059 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.060 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 1.060 * [backup-simplify]: Simplify (+ 0 0) into 0 1.060 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi2))))) into 0 1.060 * [taylor]: Taking taylor expansion of 0 in phi2 1.060 * [backup-simplify]: Simplify 0 into 0 1.060 * [backup-simplify]: Simplify 0 into 0 1.060 * [backup-simplify]: Simplify 0 into 0 1.061 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.061 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 1.061 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1.062 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.062 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 1.062 * [backup-simplify]: Simplify (+ 0 0) into 0 1.062 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi2))))) into 0 1.063 * [backup-simplify]: Simplify 0 into 0 1.063 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.063 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.064 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.064 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.065 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 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 0) (* 0 (sin (/ 1 phi2)))))) into 0 1.066 * [taylor]: Taking taylor expansion of 0 in phi2 1.066 * [backup-simplify]: Simplify 0 into 0 1.066 * [backup-simplify]: Simplify 0 into 0 1.066 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 phi1))) (sin (/ 1 (/ 1 phi2)))) into (* (sin phi1) (sin phi2)) 1.066 * [backup-simplify]: Simplify (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 1.066 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 1.066 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.066 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 1.066 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.066 * [taylor]: Taking taylor expansion of -1 in phi2 1.066 * [backup-simplify]: Simplify -1 into -1 1.066 * [taylor]: Taking taylor expansion of phi1 in phi2 1.066 * [backup-simplify]: Simplify phi1 into phi1 1.066 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 1.066 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 1.066 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 1.066 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 1.066 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.066 * [taylor]: Taking taylor expansion of -1 in phi2 1.066 * [backup-simplify]: Simplify -1 into -1 1.066 * [taylor]: Taking taylor expansion of phi2 in phi2 1.066 * [backup-simplify]: Simplify 0 into 0 1.066 * [backup-simplify]: Simplify 1 into 1 1.066 * [backup-simplify]: Simplify (/ -1 1) into -1 1.066 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 1.066 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 1.066 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 1.067 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.067 * [taylor]: Taking taylor expansion of -1 in phi1 1.067 * [backup-simplify]: Simplify -1 into -1 1.067 * [taylor]: Taking taylor expansion of phi1 in phi1 1.067 * [backup-simplify]: Simplify 0 into 0 1.067 * [backup-simplify]: Simplify 1 into 1 1.067 * [backup-simplify]: Simplify (/ -1 1) into -1 1.067 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 1.067 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 1.067 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.067 * [taylor]: Taking taylor expansion of -1 in phi1 1.067 * [backup-simplify]: Simplify -1 into -1 1.067 * [taylor]: Taking taylor expansion of phi2 in phi1 1.067 * [backup-simplify]: Simplify phi2 into phi2 1.067 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 1.067 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 1.067 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 1.067 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 1.067 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 1.067 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.067 * [taylor]: Taking taylor expansion of -1 in phi1 1.067 * [backup-simplify]: Simplify -1 into -1 1.067 * [taylor]: Taking taylor expansion of phi1 in phi1 1.067 * [backup-simplify]: Simplify 0 into 0 1.067 * [backup-simplify]: Simplify 1 into 1 1.067 * [backup-simplify]: Simplify (/ -1 1) into -1 1.068 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 1.068 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 1.068 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.068 * [taylor]: Taking taylor expansion of -1 in phi1 1.068 * [backup-simplify]: Simplify -1 into -1 1.068 * [taylor]: Taking taylor expansion of phi2 in phi1 1.068 * [backup-simplify]: Simplify phi2 into phi2 1.068 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 1.068 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 1.068 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 1.068 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 1) into (sin (/ -1 phi2)) 1.068 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 0) into 0 1.068 * [backup-simplify]: Simplify (+ (sin (/ -1 phi2)) 0) into (sin (/ -1 phi2)) 1.068 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 1.068 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.068 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 1.068 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.068 * [taylor]: Taking taylor expansion of -1 in phi2 1.068 * [backup-simplify]: Simplify -1 into -1 1.068 * [taylor]: Taking taylor expansion of phi1 in phi2 1.068 * [backup-simplify]: Simplify phi1 into phi1 1.068 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 1.068 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 1.068 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 1.068 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 1.068 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.068 * [taylor]: Taking taylor expansion of -1 in phi2 1.068 * [backup-simplify]: Simplify -1 into -1 1.068 * [taylor]: Taking taylor expansion of phi2 in phi2 1.068 * [backup-simplify]: Simplify 0 into 0 1.068 * [backup-simplify]: Simplify 1 into 1 1.069 * [backup-simplify]: Simplify (/ -1 1) into -1 1.069 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 1.069 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 1) into (sin (/ -1 phi1)) 1.069 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 0) into 0 1.069 * [backup-simplify]: Simplify (+ (sin (/ -1 phi1)) 0) into (sin (/ -1 phi1)) 1.069 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 1.069 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 1.069 * [backup-simplify]: Simplify (+ 0) into 0 1.070 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 1)) into 0 1.070 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0 1.070 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.070 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 0)) into 0 1.071 * [backup-simplify]: Simplify (+ 0 0) into 0 1.071 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 1.071 * [taylor]: Taking taylor expansion of 0 in phi2 1.071 * [backup-simplify]: Simplify 0 into 0 1.071 * [backup-simplify]: Simplify 0 into 0 1.071 * [backup-simplify]: Simplify (+ 0) into 0 1.071 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 1)) into 0 1.071 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0 1.072 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.072 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 0)) into 0 1.072 * [backup-simplify]: Simplify (+ 0 0) into 0 1.072 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 1.072 * [backup-simplify]: Simplify 0 into 0 1.073 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.073 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 1.073 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.074 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.074 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 1.074 * [backup-simplify]: Simplify (+ 0 0) into 0 1.075 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 1.075 * [taylor]: Taking taylor expansion of 0 in phi2 1.075 * [backup-simplify]: Simplify 0 into 0 1.075 * [backup-simplify]: Simplify 0 into 0 1.075 * [backup-simplify]: Simplify 0 into 0 1.075 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.076 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 1.076 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1.076 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.076 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 1.077 * [backup-simplify]: Simplify (+ 0 0) into 0 1.077 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 1.077 * [backup-simplify]: Simplify 0 into 0 1.078 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.078 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.078 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.079 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.079 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 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 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 (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) into (* (sin phi1) (sin phi2)) 1.080 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 2 2) 1.081 * [backup-simplify]: Simplify (* (sin lambda1) (sin (- lambda2))) into (* (sin lambda1) (sin (- lambda2))) 1.081 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in (lambda1 lambda2) around 0 1.081 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda2 1.081 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 1.081 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.081 * [backup-simplify]: Simplify lambda1 into lambda1 1.081 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 1.081 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 1.081 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 1.081 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 1.081 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.081 * [backup-simplify]: Simplify 0 into 0 1.081 * [backup-simplify]: Simplify 1 into 1 1.081 * [backup-simplify]: Simplify (- 0) into 0 1.081 * [backup-simplify]: Simplify (- 1) into -1 1.081 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda1 1.081 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.081 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.081 * [backup-simplify]: Simplify 0 into 0 1.081 * [backup-simplify]: Simplify 1 into 1 1.081 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda1 1.081 * [taylor]: Taking taylor expansion of (- lambda2) in lambda1 1.081 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.081 * [backup-simplify]: Simplify lambda2 into lambda2 1.081 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 1.081 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 1.081 * [backup-simplify]: Simplify (sin (- lambda2)) into (sin (- lambda2)) 1.082 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 1.082 * [backup-simplify]: Simplify (cos (- lambda2)) into (cos (- lambda2)) 1.082 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda1 1.082 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.082 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.082 * [backup-simplify]: Simplify 0 into 0 1.082 * [backup-simplify]: Simplify 1 into 1 1.082 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda1 1.082 * [taylor]: Taking taylor expansion of (- lambda2) in lambda1 1.082 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.082 * [backup-simplify]: Simplify lambda2 into lambda2 1.082 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 1.082 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 1.082 * [backup-simplify]: Simplify (sin (- lambda2)) into (sin (- lambda2)) 1.082 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 1.082 * [backup-simplify]: Simplify (cos (- lambda2)) into (cos (- lambda2)) 1.082 * [backup-simplify]: Simplify (* (sin (- lambda2)) 1) into (sin (- lambda2)) 1.082 * [backup-simplify]: Simplify (* (cos (- lambda2)) 0) into 0 1.082 * [backup-simplify]: Simplify (+ (sin (- lambda2)) 0) into (sin (- lambda2)) 1.082 * [backup-simplify]: Simplify (* 0 (sin (- lambda2))) into 0 1.082 * [taylor]: Taking taylor expansion of 0 in lambda2 1.082 * [backup-simplify]: Simplify 0 into 0 1.082 * [backup-simplify]: Simplify 0 into 0 1.082 * [backup-simplify]: Simplify (+ 0) into 0 1.083 * [backup-simplify]: Simplify (+ (* (sin (- lambda2)) 0) (* 0 1)) into 0 1.083 * [backup-simplify]: Simplify (- 0) into 0 1.083 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.084 * [backup-simplify]: Simplify (+ (* (cos (- lambda2)) 0) (* 0 0)) into 0 1.084 * [backup-simplify]: Simplify (+ 0 0) into 0 1.084 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.084 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (- lambda2)))) into (sin (- lambda2)) 1.084 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 1.084 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 1.084 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.084 * [backup-simplify]: Simplify 0 into 0 1.084 * [backup-simplify]: Simplify 1 into 1 1.085 * [backup-simplify]: Simplify (- 0) into 0 1.085 * [backup-simplify]: Simplify (- 1) into -1 1.085 * [backup-simplify]: Simplify 0 into 0 1.085 * [backup-simplify]: Simplify 0 into 0 1.085 * [backup-simplify]: Simplify (- 0) into 0 1.086 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.086 * [backup-simplify]: Simplify (+ (* (sin (- lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 1.086 * [backup-simplify]: Simplify (- 0) into 0 1.087 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.087 * [backup-simplify]: Simplify (+ (* (cos (- lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 1.087 * [backup-simplify]: Simplify (+ 0 0) into 0 1.088 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.088 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin (- lambda2))))) into 0 1.088 * [taylor]: Taking taylor expansion of 0 in lambda2 1.088 * [backup-simplify]: Simplify 0 into 0 1.088 * [backup-simplify]: Simplify 0 into 0 1.088 * [backup-simplify]: Simplify (- 1) into -1 1.089 * [backup-simplify]: Simplify (+ (* 1 (/ (pow -1 1) 1))) into -1 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 (- 0) into 0 1.090 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.090 * [backup-simplify]: Simplify (+ (* (sin (- lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.090 * [backup-simplify]: Simplify (- 0) into 0 1.091 * [backup-simplify]: Simplify (- 0) into 0 1.091 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.092 * [backup-simplify]: Simplify (+ (* (cos (- lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.092 * [backup-simplify]: Simplify (+ 0 0) into 0 1.093 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 1.094 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin (- lambda2)))))) into (- (* 1/6 (sin (- lambda2)))) 1.094 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin (- lambda2)))) in lambda2 1.094 * [taylor]: Taking taylor expansion of (* 1/6 (sin (- lambda2))) in lambda2 1.094 * [taylor]: Taking taylor expansion of 1/6 in lambda2 1.094 * [backup-simplify]: Simplify 1/6 into 1/6 1.094 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 1.094 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 1.094 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.094 * [backup-simplify]: Simplify 0 into 0 1.094 * [backup-simplify]: Simplify 1 into 1 1.094 * [backup-simplify]: Simplify (- 0) into 0 1.094 * [backup-simplify]: Simplify (- 1) into -1 1.094 * [backup-simplify]: Simplify (* 1/6 0) into 0 1.095 * [backup-simplify]: Simplify (- 0) into 0 1.095 * [backup-simplify]: Simplify 0 into 0 1.095 * [backup-simplify]: Simplify 0 into 0 1.095 * [backup-simplify]: Simplify (- 0) into 0 1.095 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.095 * [backup-simplify]: Simplify 0 into 0 1.095 * [backup-simplify]: Simplify 0 into 0 1.096 * [backup-simplify]: Simplify (- 0) into 0 1.096 * [backup-simplify]: Simplify (- 0) into 0 1.096 * [backup-simplify]: Simplify (- 0) into 0 1.096 * [backup-simplify]: Simplify (- 0) into 0 1.097 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 1.098 * [backup-simplify]: Simplify (+ (* (sin (- lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.098 * [backup-simplify]: Simplify (- 0) into 0 1.098 * [backup-simplify]: Simplify (- 0) into 0 1.098 * [backup-simplify]: Simplify (- 0) into 0 1.099 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.100 * [backup-simplify]: Simplify (+ (* (cos (- lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 1.100 * [backup-simplify]: Simplify (+ 0 0) into 0 1.101 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.102 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin (- lambda2))))))) into 0 1.102 * [taylor]: Taking taylor expansion of 0 in lambda2 1.102 * [backup-simplify]: Simplify 0 into 0 1.102 * [backup-simplify]: Simplify 0 into 0 1.102 * [backup-simplify]: Simplify (* -1 (* lambda2 lambda1)) into (* -1 (* lambda2 lambda1)) 1.102 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) into (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) 1.102 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in (lambda1 lambda2) around 0 1.102 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda2 1.102 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.102 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.102 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.102 * [backup-simplify]: Simplify lambda1 into lambda1 1.102 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.102 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 1.102 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 1.102 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda2 1.102 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda2 1.102 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.102 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.102 * [backup-simplify]: Simplify 0 into 0 1.102 * [backup-simplify]: Simplify 1 into 1 1.102 * [backup-simplify]: Simplify (/ 1 1) into 1 1.103 * [backup-simplify]: Simplify (- 1) into -1 1.103 * [backup-simplify]: Simplify (sin (- (/ 1 lambda2))) into (sin (- (/ 1 lambda2))) 1.103 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda1 1.103 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.103 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.103 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.103 * [backup-simplify]: Simplify 0 into 0 1.103 * [backup-simplify]: Simplify 1 into 1 1.103 * [backup-simplify]: Simplify (/ 1 1) into 1 1.103 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 1.103 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda1 1.103 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda1 1.103 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.103 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.103 * [backup-simplify]: Simplify lambda2 into lambda2 1.103 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.103 * [backup-simplify]: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) 1.103 * [backup-simplify]: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) 1.103 * [backup-simplify]: Simplify (sin (- (/ 1 lambda2))) into (sin (- (/ 1 lambda2))) 1.103 * [backup-simplify]: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) 1.103 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2))) into (cos (- (/ 1 lambda2))) 1.103 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda1 1.103 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.103 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.103 * [taylor]: Taking taylor expansion of lambda1 in lambda1 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 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 (/ 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 (- (/ 1 lambda2)) into (- (/ 1 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 (- (/ 1 lambda2)) into (- (/ 1 lambda2)) 1.104 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2))) into (cos (- (/ 1 lambda2))) 1.104 * [backup-simplify]: Simplify (* (sin (- (/ 1 lambda2))) 1) into (sin (- (/ 1 lambda2))) 1.104 * [backup-simplify]: Simplify (* (cos (- (/ 1 lambda2))) 0) into 0 1.104 * [backup-simplify]: Simplify (+ (sin (- (/ 1 lambda2))) 0) into (sin (- (/ 1 lambda2))) 1.104 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) into (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) 1.104 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda2 1.104 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.104 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.104 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.104 * [backup-simplify]: Simplify lambda1 into lambda1 1.104 * [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 (/ 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 1.105 * [backup-simplify]: Simplify (/ 1 1) into 1 1.105 * [backup-simplify]: Simplify (- 1) into -1 1.105 * [backup-simplify]: Simplify (sin (- (/ 1 lambda2))) into (sin (- (/ 1 lambda2))) 1.105 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) 1) into (sin (/ 1 lambda1)) 1.105 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) 0) into 0 1.105 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda1)) 0) into (sin (/ 1 lambda1)) 1.105 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) into (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) 1.105 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) into (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) 1.106 * [backup-simplify]: Simplify (+ 0) into 0 1.106 * [backup-simplify]: Simplify (+ (* (sin (- (/ 1 lambda2))) 0) (* 0 1)) into 0 1.106 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 1.106 * [backup-simplify]: Simplify (- 0) 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 1.107 * [backup-simplify]: Simplify (+ 0 0) into 0 1.107 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 (sin (- (/ 1 lambda2))))) into 0 1.107 * [taylor]: Taking taylor expansion of 0 in lambda2 1.107 * [backup-simplify]: Simplify 0 into 0 1.107 * [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 1.109 * [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 1.110 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 1.111 * [backup-simplify]: Simplify (- 0) 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 1.112 * [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) into 0 1.115 * [backup-simplify]: Simplify (- 0) into 0 1.115 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.116 * [backup-simplify]: Simplify (+ (* (sin (- (/ 1 lambda2))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.116 * [backup-simplify]: Simplify (- 0) into 0 1.116 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 1.119 * [backup-simplify]: Simplify (- 0) into 0 1.119 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.120 * [backup-simplify]: Simplify (+ (* (cos (- (/ 1 lambda2))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.120 * [backup-simplify]: Simplify (+ 0 0) into 0 1.121 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (- (/ 1 lambda2))))))) into 0 1.121 * [taylor]: Taking taylor expansion of 0 in lambda2 1.121 * [backup-simplify]: Simplify 0 into 0 1.121 * [backup-simplify]: Simplify 0 into 0 1.121 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 lambda1))) (sin (- (/ 1 (/ 1 lambda2))))) into (* (sin lambda1) (sin (- lambda2))) 1.121 * [backup-simplify]: Simplify (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))) into (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) 1.121 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in (lambda1 lambda2) around 0 1.121 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.121 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.121 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.121 * [taylor]: Taking taylor expansion of -1 in lambda2 1.121 * [backup-simplify]: Simplify -1 into -1 1.121 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.121 * [backup-simplify]: Simplify lambda1 into lambda1 1.121 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 1.121 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 1.121 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 1.121 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.121 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.121 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.121 * [backup-simplify]: Simplify 0 into 0 1.121 * [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 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.121 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.121 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.121 * [taylor]: Taking taylor expansion of -1 in lambda1 1.121 * [backup-simplify]: Simplify -1 into -1 1.122 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.122 * [backup-simplify]: Simplify 0 into 0 1.122 * [backup-simplify]: Simplify 1 into 1 1.122 * [backup-simplify]: Simplify (/ -1 1) into -1 1.122 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 1.122 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.122 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.122 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.122 * [backup-simplify]: Simplify lambda2 into lambda2 1.122 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.122 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 1.122 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 1.122 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.122 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.122 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.122 * [taylor]: Taking taylor expansion of -1 in lambda1 1.122 * [backup-simplify]: Simplify -1 into -1 1.122 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.122 * [backup-simplify]: Simplify 0 into 0 1.122 * [backup-simplify]: Simplify 1 into 1 1.122 * [backup-simplify]: Simplify (/ -1 1) into -1 1.122 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 1.122 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.122 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.122 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.122 * [backup-simplify]: Simplify lambda2 into lambda2 1.123 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.123 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 1.123 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 1.123 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) 1) into (sin (/ 1 lambda2)) 1.123 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) 0) into 0 1.123 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda2)) 0) into (sin (/ 1 lambda2)) 1.123 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) 1.123 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.123 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.123 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.123 * [taylor]: Taking taylor expansion of -1 in lambda2 1.123 * [backup-simplify]: Simplify -1 into -1 1.123 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.123 * [backup-simplify]: Simplify lambda1 into lambda1 1.123 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 1.123 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 1.123 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 1.123 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.123 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.123 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.123 * [backup-simplify]: Simplify 0 into 0 1.123 * [backup-simplify]: Simplify 1 into 1 1.123 * [backup-simplify]: Simplify (/ 1 1) into 1 1.123 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 1.124 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) 1) into (sin (/ -1 lambda1)) 1.124 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) 0) into 0 1.124 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda1)) 0) into (sin (/ -1 lambda1)) 1.124 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) 1.124 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) 1.124 * [backup-simplify]: Simplify (+ 0) into 0 1.124 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 1)) into 0 1.124 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 1.125 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.125 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 0)) into 0 1.125 * [backup-simplify]: Simplify (+ 0 0) into 0 1.125 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ 1 lambda2)))) into 0 1.125 * [taylor]: Taking taylor expansion of 0 in lambda2 1.126 * [backup-simplify]: Simplify 0 into 0 1.126 * [backup-simplify]: Simplify 0 into 0 1.126 * [backup-simplify]: Simplify (+ 0) into 0 1.126 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 1)) into 0 1.126 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)))) into 0 1.127 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.127 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 0)) into 0 1.127 * [backup-simplify]: Simplify (+ 0 0) into 0 1.127 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ 1 lambda2)))) into 0 1.127 * [backup-simplify]: Simplify 0 into 0 1.128 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.128 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 1.128 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 1.129 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.129 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 1.129 * [backup-simplify]: Simplify (+ 0 0) into 0 1.130 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda2))))) into 0 1.130 * [taylor]: Taking taylor expansion of 0 in lambda2 1.130 * [backup-simplify]: Simplify 0 into 0 1.130 * [backup-simplify]: Simplify 0 into 0 1.130 * [backup-simplify]: Simplify 0 into 0 1.130 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.131 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 1.131 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 1.131 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.132 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 1.132 * [backup-simplify]: Simplify (+ 0 0) into 0 1.132 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda2))))) into 0 1.132 * [backup-simplify]: Simplify 0 into 0 1.133 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.133 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.133 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 1.134 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.134 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.135 * [backup-simplify]: Simplify (+ 0 0) into 0 1.135 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda2)))))) into 0 1.135 * [taylor]: Taking taylor expansion of 0 in lambda2 1.135 * [backup-simplify]: Simplify 0 into 0 1.135 * [backup-simplify]: Simplify 0 into 0 1.135 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- lambda1)))) (sin (/ 1 (/ 1 (- lambda2))))) into (* (sin lambda1) (sin (* -1 lambda2))) 1.135 * * * [progress]: simplifying candidates 1.136 * [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) (sin lambda2)) (* (sin lambda1) (* (cbrt (sin (- lambda2))) (cbrt (sin (- lambda2))))) (* (sin lambda1) (sqrt (sin (- lambda2)))) (* (sin lambda1) 1) (* (cbrt (sin lambda1)) (sin (- lambda2))) (* (sqrt (sin lambda1)) (sin (- lambda2))) (* (sin lambda1) (sin (- lambda2))) (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) R) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (* -1 (* lambda2 lambda1)) (* (sin lambda1) (sin (- lambda2))) (* (sin lambda1) (sin (* -1 lambda2))) 1.137 * [simplify]: Sending expressions to egg_math: (expm1 (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3)))))))) (log1p (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin 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(cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3)))))))) (sqrt (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3)))))))) (sqrt (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3)))))))) (expm1 (* (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3))))))) h5)) (log1p (* (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3))))))) h5)) (* (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3))))))) h5) (+ (log (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3)))))))) (log h5)) (log (* (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3))))))) h5)) (exp (* (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) 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(- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3))))))) 1) (* (cbrt (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3)))))))) h5) (* (sqrt (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3)))))))) h5) (* (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3))))))) h5) (expm1 (* (sin h0) (sin h1))) (log1p (* (sin h0) (sin h1))) (- (cos (- h0 h1)) (cos (+ h0 h1))) (* (sin h0) (sin h1)) (+ (log (sin h0)) (log (sin h1))) (log (* (sin h0) (sin h1))) (exp (* (sin h0) (sin h1))) (* (* (* (sin h0) (sin h0)) (sin h0)) (* (* (sin h1) (sin h1)) (sin h1))) (* (cbrt (* (sin h0) (sin h1))) (cbrt (* (sin h0) (sin h1)))) (cbrt (* (sin h0) (sin h1))) (* (* (* (sin h0) (sin h1)) (* (sin h0) (sin h1))) (* (sin h0) (sin h1))) (sqrt (* (sin h0) (sin h1))) (sqrt (* (sin h0) (sin h1))) (* (sqrt (sin h0)) (sqrt (sin h1))) (* (sqrt (sin h0)) (sqrt (sin h1))) (* (sin h0) (* (cbrt (sin h1)) (cbrt (sin h1)))) (* (sin h0) (sqrt (sin h1))) (* (sin h0) 1) (* (cbrt (sin h0)) (sin h1)) (* (sqrt (sin h0)) (sin h1)) (* (sin h0) (sin h1)) (expm1 (* (sin h2) (sin (- h3)))) (log1p (* (sin h2) (sin (- h3)))) (- (cos (- h2 (- h3))) (cos (+ h2 (- h3)))) (* (sin h2) (sin (- h3))) (+ (log (sin h2)) (log (sin (- h3)))) (log (* (sin h2) (sin (- h3)))) (exp (* (sin h2) (sin (- h3)))) (* (* (* (sin h2) (sin h2)) (sin h2)) (* (* (sin (- h3)) (sin (- h3))) (sin (- h3)))) (* (cbrt (* (sin h2) (sin (- h3)))) (cbrt (* (sin h2) (sin (- h3))))) (cbrt (* (sin h2) (sin (- h3)))) (* (* (* (sin h2) (sin (- h3))) (* (sin h2) (sin (- h3)))) (* (sin h2) (sin (- h3)))) (sqrt (* (sin h2) (sin (- h3)))) (sqrt (* (sin h2) (sin (- h3)))) (* (sqrt (sin h2)) (sqrt (sin (- h3)))) (* (sqrt (sin h2)) (sqrt (sin (- h3)))) (* (sin h2) (sin h3)) (* (sin h2) (* (cbrt (sin (- h3))) (cbrt (sin (- h3))))) (* (sin h2) (sqrt (sin (- h3)))) (* (sin h2) 1) (* (cbrt (sin h2)) (sin (- h3))) (* (sqrt (sin h2)) (sin (- h3))) (* (sin h2) (sin (- h3))) (acos (- (+ (* (sin h0) (sin h1)) (* (cos h2) (* (cos h0) (* (cos h1) (cos h3))))) (* (sin h2) (* (cos h0) (* (cos h1) (sin (- h3))))))) (acos (- (+ (* (sin h0) (sin h1)) (* (cos h2) (* (cos h0) (* (cos h1) (cos h3))))) (* (sin h2) (* (cos h0) (* (cos h1) (sin (- h3))))))) (acos (- (+ (* (sin h0) (sin h1)) (* (cos h2) (* (cos h0) (* (cos h1) (cos h3))))) (* (sin h2) (* (cos h0) (* (cos h1) (sin (* -1 h3))))))) (* (acos (- (+ (* (sin h0) (sin h1)) (* (cos h2) (* (cos h0) (* (cos h1) (cos h3))))) (* (sin h2) (* (cos h0) (* (cos h1) (sin (- h3))))))) h5) (* (acos (- (+ (* (sin h0) (sin h1)) (* (cos h2) (* (cos h0) (* (cos h1) (cos h3))))) (* (sin h2) (* (cos h0) (* (cos h1) (sin (- h3))))))) h5) (* (acos (- (+ (* (sin h0) (sin h1)) (* (cos h2) (* (cos h0) (* (cos h1) (cos h3))))) (* (sin h2) (* (cos h0) (* (cos h1) (sin (* -1 h3))))))) h5) (* h1 h0) (* (sin h0) (sin h1)) (* (sin h0) (sin h1)) (* -1 (* h3 h2)) (* (sin h2) (sin (- h3))) (* (sin h2) (sin (* -1 h3))) 1.142 * * [simplify]: iteration 0 : 292 enodes (cost 1092 ) 1.146 * * [simplify]: iteration 1 : 949 enodes (cost 951 ) 1.161 * * [simplify]: iteration 2 : 2618 enodes (cost 927 ) 1.193 * * [simplify]: iteration 3 : 5002 enodes (cost 927 ) 1.196 * * * [progress]: adding candidates to table 1.590 * * [progress]: iteration 3 / 4 1.590 * * * [progress]: picking best candidate 1.691 * * * * [pick]: Picked # 1.691 * * * [progress]: localizing error 1.727 * * * [progress]: generating rewritten candidates 1.727 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 1.731 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 1.732 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.750 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.755 * * * [progress]: generating series expansions 1.755 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 1.755 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 1.755 * [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 1.755 * [taylor]: Taking 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 1.756 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 1.756 * [taylor]: Taking 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 1.756 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 1.756 * [taylor]: Taking 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 1.756 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 1.756 * [taylor]: Taking 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 1.757 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 1.757 * [taylor]: Taking 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 1.757 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 1.757 * [taylor]: Taking 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 1.758 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 1.758 * [taylor]: Taking 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 1.758 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 1.758 * [taylor]: Taking 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 1.758 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 1.759 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 1.759 * [taylor]: Taking taylor expansion of 0 in phi2 1.759 * [backup-simplify]: Simplify 0 into 0 1.759 * [taylor]: Taking taylor expansion of 0 in lambda1 1.759 * [backup-simplify]: Simplify 0 into 0 1.759 * [taylor]: Taking taylor expansion of 0 in lambda2 1.759 * [backup-simplify]: Simplify 0 into 0 1.759 * [backup-simplify]: Simplify 0 into 0 1.759 * [taylor]: Taking taylor expansion of 0 in lambda1 1.759 * [backup-simplify]: Simplify 0 into 0 1.759 * [taylor]: Taking taylor expansion of 0 in lambda2 1.759 * [backup-simplify]: Simplify 0 into 0 1.759 * [backup-simplify]: Simplify 0 into 0 1.759 * [taylor]: Taking taylor expansion of 0 in lambda2 1.759 * [backup-simplify]: Simplify 0 into 0 1.759 * [backup-simplify]: Simplify 0 into 0 1.759 * [backup-simplify]: Simplify 0 into 0 1.759 * [taylor]: Taking taylor expansion of 0 in phi2 1.759 * [backup-simplify]: Simplify 0 into 0 1.759 * [taylor]: Taking taylor expansion of 0 in lambda1 1.759 * [backup-simplify]: Simplify 0 into 0 1.759 * [taylor]: Taking taylor expansion of 0 in lambda2 1.759 * [backup-simplify]: Simplify 0 into 0 1.759 * [backup-simplify]: Simplify 0 into 0 1.759 * [taylor]: Taking taylor expansion of 0 in lambda1 1.759 * [backup-simplify]: Simplify 0 into 0 1.759 * [taylor]: Taking taylor expansion of 0 in lambda2 1.759 * [backup-simplify]: Simplify 0 into 0 1.759 * [backup-simplify]: Simplify 0 into 0 1.760 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 1.760 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.760 * [approximate]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.760 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 1.761 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.761 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 1.761 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.761 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 1.762 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.762 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 1.762 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.762 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 1.763 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.763 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 1.763 * [backup-simplify]: Simplify (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.763 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 1.764 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.764 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 1.764 * [backup-simplify]: Simplify (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.765 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.765 * [taylor]: Taking taylor expansion of 0 in phi2 1.765 * [backup-simplify]: Simplify 0 into 0 1.765 * [taylor]: Taking taylor expansion of 0 in lambda1 1.765 * [backup-simplify]: Simplify 0 into 0 1.765 * [taylor]: Taking taylor expansion of 0 in lambda2 1.765 * [backup-simplify]: Simplify 0 into 0 1.765 * [backup-simplify]: Simplify 0 into 0 1.765 * [taylor]: Taking taylor expansion of 0 in lambda1 1.765 * [backup-simplify]: Simplify 0 into 0 1.765 * [taylor]: Taking taylor expansion of 0 in lambda2 1.765 * [backup-simplify]: Simplify 0 into 0 1.765 * [backup-simplify]: Simplify 0 into 0 1.765 * [taylor]: Taking taylor expansion of 0 in lambda2 1.765 * [backup-simplify]: Simplify 0 into 0 1.765 * [backup-simplify]: Simplify 0 into 0 1.765 * [backup-simplify]: Simplify 0 into 0 1.765 * [taylor]: Taking taylor expansion of 0 in phi2 1.765 * [backup-simplify]: Simplify 0 into 0 1.765 * [taylor]: Taking taylor expansion of 0 in lambda1 1.765 * [backup-simplify]: Simplify 0 into 0 1.765 * [taylor]: Taking taylor expansion of 0 in lambda2 1.765 * [backup-simplify]: Simplify 0 into 0 1.765 * [backup-simplify]: Simplify 0 into 0 1.765 * [taylor]: Taking taylor expansion of 0 in lambda1 1.765 * [backup-simplify]: Simplify 0 into 0 1.765 * [taylor]: Taking taylor expansion of 0 in lambda2 1.765 * [backup-simplify]: Simplify 0 into 0 1.765 * [backup-simplify]: Simplify 0 into 0 1.766 * [backup-simplify]: Simplify (acos (- (+ (* (sin (/ 1 (/ 1 phi1))) (sin (/ 1 (/ 1 phi2)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi1))) (cos (/ 1 (/ 1 lambda1))))))) (* (sin (/ 1 (/ 1 lambda1))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 phi1))) (sin (- (/ 1 (/ 1 lambda2))))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 1.766 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.767 * [approximate]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.767 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 1.767 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.767 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 1.768 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.768 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 1.768 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.768 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 1.769 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.769 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 1.769 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.769 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 1.770 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.770 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 1.770 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.770 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 1.771 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.771 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.771 * [taylor]: Taking taylor expansion of 0 in phi2 1.771 * [backup-simplify]: Simplify 0 into 0 1.771 * [taylor]: Taking taylor expansion of 0 in lambda1 1.771 * [backup-simplify]: Simplify 0 into 0 1.771 * [taylor]: Taking taylor expansion of 0 in lambda2 1.771 * [backup-simplify]: Simplify 0 into 0 1.771 * [backup-simplify]: Simplify 0 into 0 1.771 * [taylor]: Taking taylor expansion of 0 in lambda1 1.771 * [backup-simplify]: Simplify 0 into 0 1.771 * [taylor]: Taking taylor expansion of 0 in lambda2 1.771 * [backup-simplify]: Simplify 0 into 0 1.771 * [backup-simplify]: Simplify 0 into 0 1.771 * [taylor]: Taking taylor expansion of 0 in lambda2 1.772 * [backup-simplify]: Simplify 0 into 0 1.772 * [backup-simplify]: Simplify 0 into 0 1.772 * [backup-simplify]: Simplify 0 into 0 1.772 * [taylor]: Taking taylor expansion of 0 in phi2 1.772 * [backup-simplify]: Simplify 0 into 0 1.772 * [taylor]: Taking taylor expansion of 0 in lambda1 1.772 * [backup-simplify]: Simplify 0 into 0 1.772 * [taylor]: Taking taylor expansion of 0 in lambda2 1.772 * [backup-simplify]: Simplify 0 into 0 1.772 * [backup-simplify]: Simplify 0 into 0 1.772 * [taylor]: Taking taylor expansion of 0 in lambda1 1.772 * [backup-simplify]: Simplify 0 into 0 1.772 * [taylor]: Taking taylor expansion of 0 in lambda2 1.772 * [backup-simplify]: Simplify 0 into 0 1.772 * [backup-simplify]: Simplify 0 into 0 1.772 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2))))))) (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2)))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (sin (/ 1 (/ 1 (- lambda2)))) (cos (/ -1 (/ 1 (- phi2))))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) 1.772 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 1.773 * [backup-simplify]: Simplify (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) into (log (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) 1.773 * [approximate]: Taking taylor expansion of (log (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.773 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in lambda2 1.773 * [taylor]: Taking 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 1.773 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 1.774 * [backup-simplify]: Simplify (log (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) into (log (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) 1.774 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in lambda1 1.774 * [taylor]: Taking 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 1.774 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 1.775 * [backup-simplify]: Simplify (log (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) into (log (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) 1.775 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in phi2 1.775 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi2 1.775 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 1.775 * [backup-simplify]: Simplify (log (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) into (log (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) 1.775 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in phi1 1.775 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi1 1.776 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 1.776 * [backup-simplify]: Simplify (log (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) into (log (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) 1.776 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in phi1 1.776 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi1 1.776 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 1.777 * [backup-simplify]: Simplify (log (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) into (log (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) 1.777 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in phi2 1.777 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi2 1.777 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 1.778 * [backup-simplify]: Simplify (log (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) into (log (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) 1.778 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in lambda1 1.778 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda1 1.778 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 1.778 * [backup-simplify]: Simplify (log (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) into (log (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) 1.779 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in lambda2 1.779 * [taylor]: Taking 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 1.779 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 1.779 * [backup-simplify]: Simplify (log (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) into (log (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) 1.780 * [backup-simplify]: Simplify (log (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) into (log (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) 1.781 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 1)))) 1) into 0 1.781 * [taylor]: Taking taylor expansion of 0 in phi2 1.781 * [backup-simplify]: Simplify 0 into 0 1.781 * [taylor]: Taking taylor expansion of 0 in lambda1 1.781 * [backup-simplify]: Simplify 0 into 0 1.781 * [taylor]: Taking taylor expansion of 0 in lambda2 1.781 * [backup-simplify]: Simplify 0 into 0 1.781 * [backup-simplify]: Simplify 0 into 0 1.782 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 1)))) 1) into 0 1.782 * [taylor]: Taking taylor expansion of 0 in lambda1 1.782 * [backup-simplify]: Simplify 0 into 0 1.782 * [taylor]: Taking taylor expansion of 0 in lambda2 1.783 * [backup-simplify]: Simplify 0 into 0 1.783 * [backup-simplify]: Simplify 0 into 0 1.783 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 1)))) 1) into 0 1.783 * [taylor]: Taking taylor expansion of 0 in lambda2 1.783 * [backup-simplify]: Simplify 0 into 0 1.784 * [backup-simplify]: Simplify 0 into 0 1.784 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 1)))) 1) into 0 1.784 * [backup-simplify]: Simplify 0 into 0 1.787 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 1)))) 2) into 0 1.787 * [taylor]: Taking taylor expansion of 0 in phi2 1.787 * [backup-simplify]: Simplify 0 into 0 1.787 * [taylor]: Taking taylor expansion of 0 in lambda1 1.787 * [backup-simplify]: Simplify 0 into 0 1.787 * [taylor]: Taking taylor expansion of 0 in lambda2 1.787 * [backup-simplify]: Simplify 0 into 0 1.787 * [backup-simplify]: Simplify 0 into 0 1.787 * [taylor]: Taking taylor expansion of 0 in lambda1 1.787 * [backup-simplify]: Simplify 0 into 0 1.787 * [taylor]: Taking taylor expansion of 0 in lambda2 1.787 * [backup-simplify]: Simplify 0 into 0 1.787 * [backup-simplify]: Simplify 0 into 0 1.788 * [backup-simplify]: Simplify (log (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) into (log (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) 1.788 * [backup-simplify]: Simplify (log (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))))))) into (log (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) 1.788 * [approximate]: Taking taylor expansion of (log (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.788 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in lambda2 1.788 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 1.789 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.789 * [backup-simplify]: Simplify (log (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) into (log (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) 1.789 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in lambda1 1.789 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 1.790 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.790 * [backup-simplify]: Simplify (log (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) into (log (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) 1.790 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in phi2 1.790 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 1.791 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.791 * [backup-simplify]: Simplify (log (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) into (log (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) 1.791 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in phi1 1.791 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 1.792 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.792 * [backup-simplify]: Simplify (log (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) into (log (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) 1.792 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in phi1 1.792 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 1.793 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.793 * [backup-simplify]: Simplify (log (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) into (log (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) 1.794 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in phi2 1.794 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 1.794 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.795 * [backup-simplify]: Simplify (log (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) into (log (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) 1.795 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in lambda1 1.795 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 1.795 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.796 * [backup-simplify]: Simplify (log (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) into (log (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) 1.796 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in lambda2 1.796 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 1.796 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.797 * [backup-simplify]: Simplify (log (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) into (log (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) 1.797 * [backup-simplify]: Simplify (log (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) into (log (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) 1.799 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1)))) 1) into 0 1.799 * [taylor]: Taking taylor expansion of 0 in phi2 1.799 * [backup-simplify]: Simplify 0 into 0 1.799 * [taylor]: Taking taylor expansion of 0 in lambda1 1.799 * [backup-simplify]: Simplify 0 into 0 1.799 * [taylor]: Taking taylor expansion of 0 in lambda2 1.799 * [backup-simplify]: Simplify 0 into 0 1.799 * [backup-simplify]: Simplify 0 into 0 1.800 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1)))) 1) into 0 1.800 * [taylor]: Taking taylor expansion of 0 in lambda1 1.800 * [backup-simplify]: Simplify 0 into 0 1.800 * [taylor]: Taking taylor expansion of 0 in lambda2 1.800 * [backup-simplify]: Simplify 0 into 0 1.800 * [backup-simplify]: Simplify 0 into 0 1.801 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1)))) 1) into 0 1.801 * [taylor]: Taking taylor expansion of 0 in lambda2 1.801 * [backup-simplify]: Simplify 0 into 0 1.801 * [backup-simplify]: Simplify 0 into 0 1.803 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1)))) 1) into 0 1.803 * [backup-simplify]: Simplify 0 into 0 1.808 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1)))) 2) into 0 1.808 * [taylor]: Taking taylor expansion of 0 in phi2 1.808 * [backup-simplify]: Simplify 0 into 0 1.808 * [taylor]: Taking taylor expansion of 0 in lambda1 1.808 * [backup-simplify]: Simplify 0 into 0 1.808 * [taylor]: Taking taylor expansion of 0 in lambda2 1.808 * [backup-simplify]: Simplify 0 into 0 1.808 * [backup-simplify]: Simplify 0 into 0 1.808 * [taylor]: Taking taylor expansion of 0 in lambda1 1.808 * [backup-simplify]: Simplify 0 into 0 1.808 * [taylor]: Taking taylor expansion of 0 in lambda2 1.808 * [backup-simplify]: Simplify 0 into 0 1.808 * [backup-simplify]: Simplify 0 into 0 1.809 * [backup-simplify]: Simplify (log (acos (- (+ (* (sin (/ 1 (/ 1 phi1))) (sin (/ 1 (/ 1 phi2)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi1))) (cos (/ 1 (/ 1 lambda1))))))) (* (sin (/ 1 (/ 1 lambda1))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 phi1))) (sin (- (/ 1 (/ 1 lambda2)))))))))) into (log (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) 1.809 * [backup-simplify]: Simplify (log (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2)))))))))) into (log (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) 1.809 * [approximate]: Taking taylor expansion of (log (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.809 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in lambda2 1.809 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 1.810 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.810 * [backup-simplify]: Simplify (log (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) into (log (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) 1.810 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in lambda1 1.810 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 1.811 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.811 * [backup-simplify]: Simplify (log (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) into (log (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) 1.811 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in phi2 1.811 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 1.812 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.812 * [backup-simplify]: Simplify (log (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) into (log (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) 1.812 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in phi1 1.812 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 1.813 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.813 * [backup-simplify]: Simplify (log (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) into (log (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) 1.813 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in phi1 1.813 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 1.814 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.814 * [backup-simplify]: Simplify (log (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) into (log (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) 1.815 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in phi2 1.815 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 1.815 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.816 * [backup-simplify]: Simplify (log (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) into (log (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) 1.816 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in lambda1 1.816 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 1.816 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.817 * [backup-simplify]: Simplify (log (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) into (log (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) 1.817 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in lambda2 1.817 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 1.817 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.818 * [backup-simplify]: Simplify (log (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) into (log (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) 1.818 * [backup-simplify]: Simplify (log (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) into (log (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) 1.820 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1)))) 1) into 0 1.820 * [taylor]: Taking taylor expansion of 0 in phi2 1.820 * [backup-simplify]: Simplify 0 into 0 1.820 * [taylor]: Taking taylor expansion of 0 in lambda1 1.820 * [backup-simplify]: Simplify 0 into 0 1.820 * [taylor]: Taking taylor expansion of 0 in lambda2 1.820 * [backup-simplify]: Simplify 0 into 0 1.820 * [backup-simplify]: Simplify 0 into 0 1.821 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1)))) 1) into 0 1.821 * [taylor]: Taking taylor expansion of 0 in lambda1 1.821 * [backup-simplify]: Simplify 0 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 1.822 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1)))) 1) into 0 1.822 * [taylor]: Taking taylor expansion of 0 in lambda2 1.822 * [backup-simplify]: Simplify 0 into 0 1.822 * [backup-simplify]: Simplify 0 into 0 1.823 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1)))) 1) into 0 1.823 * [backup-simplify]: Simplify 0 into 0 1.825 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1)))) 2) into 0 1.825 * [taylor]: Taking taylor expansion of 0 in phi2 1.825 * [backup-simplify]: Simplify 0 into 0 1.825 * [taylor]: Taking taylor expansion of 0 in lambda1 1.825 * [backup-simplify]: Simplify 0 into 0 1.825 * [taylor]: Taking taylor expansion of 0 in lambda2 1.825 * [backup-simplify]: Simplify 0 into 0 1.825 * [backup-simplify]: Simplify 0 into 0 1.825 * [taylor]: Taking taylor expansion of 0 in lambda1 1.825 * [backup-simplify]: Simplify 0 into 0 1.825 * [taylor]: Taking taylor expansion of 0 in lambda2 1.825 * [backup-simplify]: Simplify 0 into 0 1.825 * [backup-simplify]: Simplify 0 into 0 1.826 * [backup-simplify]: Simplify (log (acos (- (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2))))))) (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2)))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (sin (/ 1 (/ 1 (- lambda2)))) (cos (/ -1 (/ 1 (- phi2)))))))))) into (log (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2)))))))) 1.826 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.827 * [backup-simplify]: Simplify (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) R) into (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) 1.827 * [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 1.827 * [taylor]: Taking 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 1.827 * [taylor]: Taking 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 1.827 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 1.827 * [taylor]: Taking taylor expansion of R in R 1.827 * [backup-simplify]: Simplify 0 into 0 1.827 * [backup-simplify]: Simplify 1 into 1 1.827 * [taylor]: Taking 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 1.827 * [taylor]: Taking 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 1.828 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (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 * [taylor]: Taking taylor expansion of R in lambda2 1.828 * [backup-simplify]: Simplify R into R 1.828 * [taylor]: Taking 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 1.828 * [taylor]: Taking 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 1.828 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (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 * [taylor]: Taking taylor expansion of R in lambda1 1.828 * [backup-simplify]: Simplify R into R 1.828 * [taylor]: Taking 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 1.828 * [taylor]: Taking 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 1.829 * [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 R in phi2 1.829 * [backup-simplify]: Simplify R into R 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))))))) R) in phi1 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 phi1 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 R in phi1 1.829 * [backup-simplify]: Simplify R into R 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))))))) R) in phi1 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 phi1 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 R in phi1 1.829 * [backup-simplify]: Simplify R into R 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))))))) R) into (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) 1.830 * [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))))))) R) in phi2 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 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 R in phi2 1.830 * [backup-simplify]: Simplify R into R 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))))))) R) into (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) 1.831 * [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))))))) R) in lambda1 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))))))) 1.831 * [taylor]: Taking taylor expansion of R in lambda1 1.831 * [backup-simplify]: Simplify R into R 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))))))) R) into (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) 1.831 * [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))))))) R) in 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 * [taylor]: Taking taylor expansion of R in lambda2 1.832 * [backup-simplify]: Simplify R into R 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))))))) R) into (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) 1.832 * [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))))))) R) in R 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 R 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))))))) 1.833 * [taylor]: Taking taylor expansion of R in R 1.833 * [backup-simplify]: Simplify 0 into 0 1.833 * [backup-simplify]: Simplify 1 into 1 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))))))) 0) into 0 1.833 * [backup-simplify]: Simplify 0 into 0 1.834 * [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 1.834 * [taylor]: Taking taylor expansion of 0 in phi2 1.834 * [backup-simplify]: Simplify 0 into 0 1.834 * [taylor]: Taking taylor expansion of 0 in lambda1 1.834 * [backup-simplify]: Simplify 0 into 0 1.834 * [taylor]: Taking taylor expansion of 0 in lambda2 1.834 * [backup-simplify]: Simplify 0 into 0 1.834 * [taylor]: Taking taylor expansion of 0 in R 1.834 * [backup-simplify]: Simplify 0 into 0 1.834 * [backup-simplify]: Simplify 0 into 0 1.834 * [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 1.834 * [taylor]: Taking taylor expansion of 0 in lambda1 1.834 * [backup-simplify]: Simplify 0 into 0 1.834 * [taylor]: Taking taylor expansion of 0 in lambda2 1.834 * [backup-simplify]: Simplify 0 into 0 1.834 * [taylor]: Taking taylor expansion of 0 in R 1.834 * [backup-simplify]: Simplify 0 into 0 1.834 * [backup-simplify]: Simplify 0 into 0 1.835 * [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 1.835 * [taylor]: Taking taylor expansion of 0 in lambda2 1.835 * [backup-simplify]: Simplify 0 into 0 1.835 * [taylor]: Taking taylor expansion of 0 in R 1.835 * [backup-simplify]: Simplify 0 into 0 1.835 * [backup-simplify]: Simplify 0 into 0 1.835 * [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 1.835 * [taylor]: Taking taylor expansion of 0 in R 1.835 * [backup-simplify]: Simplify 0 into 0 1.835 * [backup-simplify]: Simplify 0 into 0 1.836 * [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))))))) 1.836 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 1.837 * [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 1.837 * [taylor]: Taking taylor expansion of 0 in phi2 1.837 * [backup-simplify]: Simplify 0 into 0 1.837 * [taylor]: Taking taylor expansion of 0 in lambda1 1.837 * [backup-simplify]: Simplify 0 into 0 1.837 * [taylor]: Taking taylor expansion of 0 in lambda2 1.837 * [backup-simplify]: Simplify 0 into 0 1.838 * [taylor]: Taking taylor expansion of 0 in R 1.838 * [backup-simplify]: Simplify 0 into 0 1.838 * [backup-simplify]: Simplify 0 into 0 1.838 * [taylor]: Taking taylor expansion of 0 in lambda1 1.838 * [backup-simplify]: Simplify 0 into 0 1.838 * [taylor]: Taking taylor expansion of 0 in lambda2 1.838 * [backup-simplify]: Simplify 0 into 0 1.838 * [taylor]: Taking taylor expansion of 0 in R 1.838 * [backup-simplify]: Simplify 0 into 0 1.838 * [backup-simplify]: Simplify 0 into 0 1.838 * [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 1.838 * [taylor]: Taking taylor expansion of 0 in lambda1 1.838 * [backup-simplify]: Simplify 0 into 0 1.838 * [taylor]: Taking taylor expansion of 0 in lambda2 1.838 * [backup-simplify]: Simplify 0 into 0 1.838 * [taylor]: Taking taylor expansion of 0 in R 1.838 * [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 * [taylor]: Taking taylor expansion of 0 in R 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 * [taylor]: Taking taylor expansion of 0 in R 1.839 * [backup-simplify]: Simplify 0 into 0 1.839 * [backup-simplify]: Simplify 0 into 0 1.839 * [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 1.839 * [taylor]: Taking taylor expansion of 0 in lambda2 1.840 * [backup-simplify]: Simplify 0 into 0 1.840 * [taylor]: Taking taylor expansion of 0 in R 1.840 * [backup-simplify]: Simplify 0 into 0 1.840 * [backup-simplify]: Simplify 0 into 0 1.840 * [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) 1.841 * [backup-simplify]: Simplify (* (exp (log (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) (/ 1 R)) into (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) 1.841 * [approximate]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 1.841 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in R 1.841 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in R 1.842 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.842 * [taylor]: Taking taylor expansion of R in R 1.842 * [backup-simplify]: Simplify 0 into 0 1.842 * [backup-simplify]: Simplify 1 into 1 1.842 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1) into (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.842 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in lambda2 1.842 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 1.843 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.843 * [taylor]: Taking taylor expansion of R in lambda2 1.843 * [backup-simplify]: Simplify R into R 1.843 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) into (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) 1.843 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in lambda1 1.843 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 1.844 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.844 * [taylor]: Taking taylor expansion of R in lambda1 1.844 * [backup-simplify]: Simplify R into R 1.844 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) into (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) 1.844 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in phi2 1.844 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 1.845 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.845 * [taylor]: Taking taylor expansion of R in phi2 1.845 * [backup-simplify]: Simplify R into R 1.845 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) into (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) 1.845 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in phi1 1.845 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 1.846 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.846 * [taylor]: Taking taylor expansion of R in phi1 1.846 * [backup-simplify]: Simplify R into R 1.847 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) into (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) 1.847 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in phi1 1.847 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 1.847 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.847 * [taylor]: Taking taylor expansion of R in phi1 1.847 * [backup-simplify]: Simplify R into R 1.848 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) into (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) 1.848 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in phi2 1.848 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 1.849 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.849 * [taylor]: Taking taylor expansion of R in phi2 1.849 * [backup-simplify]: Simplify R into R 1.849 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) into (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) 1.849 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in lambda1 1.849 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 1.850 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.850 * [taylor]: Taking taylor expansion of R in lambda1 1.850 * [backup-simplify]: Simplify R into R 1.850 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) into (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) 1.850 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in lambda2 1.850 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 1.851 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.851 * [taylor]: Taking taylor expansion of R in lambda2 1.851 * [backup-simplify]: Simplify R into R 1.851 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) into (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) 1.851 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in R 1.851 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in R 1.852 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.852 * [taylor]: Taking taylor expansion of R in R 1.852 * [backup-simplify]: Simplify 0 into 0 1.852 * [backup-simplify]: Simplify 1 into 1 1.852 * [backup-simplify]: Simplify (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1) into (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.853 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.854 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) (/ 0 R)))) into 0 1.854 * [taylor]: Taking taylor expansion of 0 in phi2 1.854 * [backup-simplify]: Simplify 0 into 0 1.854 * [taylor]: Taking taylor expansion of 0 in lambda1 1.854 * [backup-simplify]: Simplify 0 into 0 1.854 * [taylor]: Taking taylor expansion of 0 in lambda2 1.854 * [backup-simplify]: Simplify 0 into 0 1.854 * [taylor]: Taking taylor expansion of 0 in R 1.854 * [backup-simplify]: Simplify 0 into 0 1.855 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) (/ 0 R)))) into 0 1.855 * [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 R) (+ (* (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) (/ 0 R)))) into 0 1.855 * [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 1.856 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) (/ 0 R)))) into 0 1.856 * [taylor]: Taking taylor expansion of 0 in R 1.856 * [backup-simplify]: Simplify 0 into 0 1.857 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) (/ 0 1)))) into 0 1.857 * [backup-simplify]: Simplify 0 into 0 1.858 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 1.858 * [taylor]: Taking taylor expansion of 0 in phi2 1.858 * [backup-simplify]: Simplify 0 into 0 1.858 * [taylor]: Taking taylor expansion of 0 in lambda1 1.858 * [backup-simplify]: Simplify 0 into 0 1.858 * [taylor]: Taking taylor expansion of 0 in lambda2 1.858 * [backup-simplify]: Simplify 0 into 0 1.858 * [taylor]: Taking taylor expansion of 0 in R 1.858 * [backup-simplify]: Simplify 0 into 0 1.858 * [taylor]: Taking taylor expansion of 0 in lambda1 1.858 * [backup-simplify]: Simplify 0 into 0 1.858 * [taylor]: Taking taylor expansion of 0 in lambda2 1.858 * [backup-simplify]: Simplify 0 into 0 1.858 * [taylor]: Taking taylor expansion of 0 in R 1.858 * [backup-simplify]: Simplify 0 into 0 1.859 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 1.859 * [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 * [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 * [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 1.860 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 1.860 * [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 * [taylor]: Taking taylor expansion of 0 in R 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 * [taylor]: Taking taylor expansion of 0 in R 1.860 * [backup-simplify]: Simplify 0 into 0 1.861 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 1.861 * [taylor]: Taking taylor expansion of 0 in R 1.861 * [backup-simplify]: Simplify 0 into 0 1.861 * [backup-simplify]: Simplify 0 into 0 1.861 * [backup-simplify]: Simplify 0 into 0 1.861 * [backup-simplify]: Simplify 0 into 0 1.861 * [backup-simplify]: Simplify 0 into 0 1.862 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.862 * [backup-simplify]: Simplify 0 into 0 1.863 * [backup-simplify]: Simplify (* (acos (- (+ (* (sin (/ 1 (/ 1 phi1))) (sin (/ 1 (/ 1 phi2)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi1))) (cos (/ 1 (/ 1 lambda1))))))) (* (sin (/ 1 (/ 1 lambda1))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 phi1))) (sin (- (/ 1 (/ 1 lambda2))))))))) (* (/ 1 (/ 1 R)) (* 1 (* 1 (* 1 1))))) into (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) 1.864 * [backup-simplify]: Simplify (* (exp (log (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))))) (/ 1 (- R))) into (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) 1.864 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 1.864 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in R 1.864 * [taylor]: Taking taylor expansion of -1 in R 1.864 * [backup-simplify]: Simplify -1 into -1 1.864 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in R 1.864 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in R 1.865 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.865 * [taylor]: Taking taylor expansion of R in R 1.865 * [backup-simplify]: Simplify 0 into 0 1.865 * [backup-simplify]: Simplify 1 into 1 1.865 * [backup-simplify]: Simplify (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.865 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda2 1.865 * [taylor]: Taking taylor expansion of -1 in lambda2 1.865 * [backup-simplify]: Simplify -1 into -1 1.865 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda2 1.865 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 1.866 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.866 * [taylor]: Taking taylor expansion of R in lambda2 1.866 * [backup-simplify]: Simplify R into R 1.866 * [backup-simplify]: Simplify (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) into (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) 1.866 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda1 1.867 * [taylor]: Taking taylor expansion of -1 in lambda1 1.867 * [backup-simplify]: Simplify -1 into -1 1.867 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda1 1.867 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 1.867 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.867 * [taylor]: Taking taylor expansion of R in lambda1 1.867 * [backup-simplify]: Simplify R into R 1.868 * [backup-simplify]: Simplify (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) into (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) 1.868 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi2 1.868 * [taylor]: Taking taylor expansion of -1 in phi2 1.868 * [backup-simplify]: Simplify -1 into -1 1.868 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi2 1.868 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 1.868 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.868 * [taylor]: Taking taylor expansion of R in phi2 1.868 * [backup-simplify]: Simplify R into R 1.869 * [backup-simplify]: Simplify (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) into (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) 1.869 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi1 1.869 * [taylor]: Taking taylor expansion of -1 in phi1 1.869 * [backup-simplify]: Simplify -1 into -1 1.869 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi1 1.869 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 1.869 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.869 * [taylor]: Taking taylor expansion of R in phi1 1.869 * [backup-simplify]: Simplify R into R 1.870 * [backup-simplify]: Simplify (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) into (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) 1.870 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi1 1.870 * [taylor]: Taking taylor expansion of -1 in phi1 1.870 * [backup-simplify]: Simplify -1 into -1 1.870 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi1 1.870 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 1.870 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.870 * [taylor]: Taking taylor expansion of R in phi1 1.870 * [backup-simplify]: Simplify R into R 1.871 * [backup-simplify]: Simplify (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) into (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) 1.872 * [backup-simplify]: Simplify (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) into (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) 1.872 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi2 1.872 * [taylor]: Taking taylor expansion of -1 in phi2 1.872 * [backup-simplify]: Simplify -1 into -1 1.872 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi2 1.872 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 1.872 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.872 * [taylor]: Taking taylor expansion of R in phi2 1.872 * [backup-simplify]: Simplify R into R 1.873 * [backup-simplify]: Simplify (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) into (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) 1.873 * [backup-simplify]: Simplify (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) into (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) 1.873 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda1 1.873 * [taylor]: Taking taylor expansion of -1 in lambda1 1.873 * [backup-simplify]: Simplify -1 into -1 1.873 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda1 1.873 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 1.874 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.874 * [taylor]: Taking taylor expansion of R in lambda1 1.874 * [backup-simplify]: Simplify R into R 1.874 * [backup-simplify]: Simplify (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) into (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) 1.875 * [backup-simplify]: Simplify (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) into (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) 1.875 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda2 1.875 * [taylor]: Taking taylor expansion of -1 in lambda2 1.875 * [backup-simplify]: Simplify -1 into -1 1.875 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda2 1.875 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 1.875 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.876 * [taylor]: Taking taylor expansion of R in lambda2 1.876 * [backup-simplify]: Simplify R into R 1.876 * [backup-simplify]: Simplify (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) into (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) 1.877 * [backup-simplify]: Simplify (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) into (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) 1.877 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in R 1.877 * [taylor]: Taking taylor expansion of -1 in R 1.877 * [backup-simplify]: Simplify -1 into -1 1.877 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in R 1.877 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in R 1.877 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.877 * [taylor]: Taking taylor expansion of R in R 1.877 * [backup-simplify]: Simplify 0 into 0 1.877 * [backup-simplify]: Simplify 1 into 1 1.878 * [backup-simplify]: Simplify (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.878 * [backup-simplify]: Simplify (* -1 (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) into (* -1 (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) 1.879 * [backup-simplify]: Simplify (* -1 (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) into (* -1 (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) 1.880 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) (/ 0 R)))) into 0 1.881 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R))) into 0 1.881 * [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 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) (/ 0 R)))) into 0 1.882 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R))) into 0 1.882 * [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 1.883 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) (/ 0 R)))) into 0 1.884 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R))) into 0 1.884 * [taylor]: Taking taylor expansion of 0 in lambda2 1.884 * [backup-simplify]: Simplify 0 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 R) (+ (* (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) (/ 0 R)))) into 0 1.885 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R))) into 0 1.885 * [taylor]: Taking taylor expansion of 0 in R 1.885 * [backup-simplify]: Simplify 0 into 0 1.886 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) (/ 0 1)))) into 0 1.889 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))))) into 0 1.890 * [backup-simplify]: Simplify 0 into 0 1.890 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 1.891 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)))) into 0 1.891 * [taylor]: Taking taylor expansion of 0 in phi2 1.891 * [backup-simplify]: Simplify 0 into 0 1.891 * [taylor]: Taking taylor expansion of 0 in lambda1 1.891 * [backup-simplify]: Simplify 0 into 0 1.891 * [taylor]: Taking taylor expansion of 0 in lambda2 1.891 * [backup-simplify]: Simplify 0 into 0 1.891 * [taylor]: Taking taylor expansion of 0 in R 1.891 * [backup-simplify]: Simplify 0 into 0 1.891 * [taylor]: Taking taylor expansion of 0 in lambda1 1.891 * [backup-simplify]: Simplify 0 into 0 1.891 * [taylor]: Taking taylor expansion of 0 in lambda2 1.892 * [backup-simplify]: Simplify 0 into 0 1.892 * [taylor]: Taking taylor expansion of 0 in R 1.892 * [backup-simplify]: Simplify 0 into 0 1.892 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 1.893 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)))) into 0 1.893 * [taylor]: Taking taylor expansion of 0 in lambda1 1.893 * [backup-simplify]: Simplify 0 into 0 1.893 * [taylor]: Taking taylor expansion of 0 in lambda2 1.893 * [backup-simplify]: Simplify 0 into 0 1.893 * [taylor]: Taking taylor expansion of 0 in R 1.893 * [backup-simplify]: Simplify 0 into 0 1.893 * [taylor]: Taking taylor expansion of 0 in lambda2 1.893 * [backup-simplify]: Simplify 0 into 0 1.893 * [taylor]: Taking taylor expansion of 0 in R 1.893 * [backup-simplify]: Simplify 0 into 0 1.893 * [taylor]: Taking taylor expansion of 0 in lambda2 1.893 * [backup-simplify]: Simplify 0 into 0 1.894 * [taylor]: Taking taylor expansion of 0 in R 1.894 * [backup-simplify]: Simplify 0 into 0 1.894 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 1.895 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)))) into 0 1.895 * [taylor]: Taking taylor expansion of 0 in lambda2 1.895 * [backup-simplify]: Simplify 0 into 0 1.895 * [taylor]: Taking taylor expansion of 0 in R 1.895 * [backup-simplify]: Simplify 0 into 0 1.895 * [taylor]: Taking taylor expansion of 0 in R 1.895 * [backup-simplify]: Simplify 0 into 0 1.895 * [taylor]: Taking taylor expansion of 0 in R 1.895 * [backup-simplify]: Simplify 0 into 0 1.895 * [taylor]: Taking taylor expansion of 0 in R 1.895 * [backup-simplify]: Simplify 0 into 0 1.896 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 1.897 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)))) into 0 1.897 * [taylor]: Taking taylor expansion of 0 in R 1.897 * [backup-simplify]: Simplify 0 into 0 1.897 * [backup-simplify]: Simplify 0 into 0 1.897 * [backup-simplify]: Simplify 0 into 0 1.898 * [backup-simplify]: Simplify 0 into 0 1.898 * [backup-simplify]: Simplify 0 into 0 1.899 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.900 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))))) into 0 1.900 * [backup-simplify]: Simplify 0 into 0 1.901 * [backup-simplify]: Simplify (* (* -1 (acos (- (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2))))))) (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2)))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (sin (/ 1 (/ 1 (- lambda2)))) (cos (/ -1 (/ 1 (- phi2)))))))))) (* (/ 1 (/ 1 (- R))) (* 1 (* 1 (* 1 1))))) into (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) R) 1.901 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.902 * [backup-simplify]: Simplify (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 1.902 * [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 1.902 * [taylor]: Taking 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 1.902 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 1.902 * [taylor]: Taking 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 1.902 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 1.902 * [taylor]: Taking 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 1.903 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 1.903 * [taylor]: Taking 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 1.903 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 1.903 * [taylor]: Taking 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 1.904 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 1.904 * [taylor]: Taking 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 1.904 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 1.904 * [taylor]: Taking 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 1.904 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 1.904 * [taylor]: Taking 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 1.905 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 1.905 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 1.905 * [taylor]: Taking taylor expansion of 0 in phi2 1.905 * [backup-simplify]: Simplify 0 into 0 1.905 * [taylor]: Taking taylor expansion of 0 in lambda1 1.905 * [backup-simplify]: Simplify 0 into 0 1.905 * [taylor]: Taking taylor expansion of 0 in lambda2 1.905 * [backup-simplify]: Simplify 0 into 0 1.905 * [backup-simplify]: Simplify 0 into 0 1.905 * [taylor]: Taking taylor expansion of 0 in lambda1 1.905 * [backup-simplify]: Simplify 0 into 0 1.905 * [taylor]: Taking taylor expansion of 0 in lambda2 1.905 * [backup-simplify]: Simplify 0 into 0 1.905 * [backup-simplify]: Simplify 0 into 0 1.905 * [taylor]: Taking taylor expansion of 0 in lambda2 1.906 * [backup-simplify]: Simplify 0 into 0 1.906 * [backup-simplify]: Simplify 0 into 0 1.906 * [backup-simplify]: Simplify 0 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 * [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 * [backup-simplify]: Simplify 0 into 0 1.906 * [backup-simplify]: Simplify (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 1.907 * [backup-simplify]: Simplify (exp (log (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (- (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) into (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.907 * [approximate]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.907 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 1.907 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.907 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 1.908 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.908 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 1.908 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.908 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 1.909 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.909 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 1.909 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.909 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 1.910 * [backup-simplify]: Simplify (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.910 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 1.910 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.910 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 1.911 * [backup-simplify]: Simplify (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.911 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1.912 * [taylor]: Taking taylor expansion of 0 in phi2 1.912 * [backup-simplify]: Simplify 0 into 0 1.912 * [taylor]: Taking taylor expansion of 0 in lambda1 1.912 * [backup-simplify]: Simplify 0 into 0 1.912 * [taylor]: Taking taylor expansion of 0 in lambda2 1.912 * [backup-simplify]: Simplify 0 into 0 1.912 * [backup-simplify]: Simplify 0 into 0 1.912 * [taylor]: Taking taylor expansion of 0 in lambda1 1.912 * [backup-simplify]: Simplify 0 into 0 1.912 * [taylor]: Taking taylor expansion of 0 in lambda2 1.912 * [backup-simplify]: Simplify 0 into 0 1.912 * [backup-simplify]: Simplify 0 into 0 1.912 * [taylor]: Taking taylor expansion of 0 in lambda2 1.912 * [backup-simplify]: Simplify 0 into 0 1.912 * [backup-simplify]: Simplify 0 into 0 1.912 * [backup-simplify]: Simplify 0 into 0 1.912 * [taylor]: Taking taylor expansion of 0 in phi2 1.912 * [backup-simplify]: Simplify 0 into 0 1.912 * [taylor]: Taking taylor expansion of 0 in lambda1 1.912 * [backup-simplify]: Simplify 0 into 0 1.912 * [taylor]: Taking taylor expansion of 0 in lambda2 1.912 * [backup-simplify]: Simplify 0 into 0 1.912 * [backup-simplify]: Simplify 0 into 0 1.912 * [taylor]: Taking taylor expansion of 0 in lambda1 1.912 * [backup-simplify]: Simplify 0 into 0 1.912 * [taylor]: Taking taylor expansion of 0 in lambda2 1.912 * [backup-simplify]: Simplify 0 into 0 1.912 * [backup-simplify]: Simplify 0 into 0 1.913 * [backup-simplify]: Simplify (acos (- (+ (* (sin (/ 1 (/ 1 phi1))) (sin (/ 1 (/ 1 phi2)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi1))) (cos (/ 1 (/ 1 lambda1))))))) (* (sin (/ 1 (/ 1 lambda1))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 phi1))) (sin (- (/ 1 (/ 1 lambda2))))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 1.913 * [backup-simplify]: Simplify (exp (log (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (- (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.913 * [approximate]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.913 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 1.914 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.914 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 1.914 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.914 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 1.915 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.915 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 1.915 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.915 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 1.916 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.916 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 1.916 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.916 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 1.917 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.917 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 1.917 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.918 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1.918 * [taylor]: Taking taylor expansion of 0 in phi2 1.918 * [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 * [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 * [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 * [backup-simplify]: Simplify 0 into 0 1.918 * [backup-simplify]: Simplify 0 into 0 1.918 * [taylor]: Taking taylor expansion of 0 in phi2 1.918 * [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 * [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 * [backup-simplify]: Simplify 0 into 0 1.919 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2))))))) (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2)))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (sin (/ 1 (/ 1 (- lambda2)))) (cos (/ -1 (/ 1 (- phi2))))))))) into (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) 1.919 * * * [progress]: simplifying candidates 1.920 * [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 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(expm1 (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) R)) (log1p (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) R)) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) R) (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (log R)) (log (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) R)) (exp (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) R)) (* (* (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (* (* R R) R)) (* (cbrt (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) R)) (cbrt (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) R))) (cbrt (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) R)) (* (* (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) R) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) R)) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) R)) (sqrt (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) R)) (sqrt (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) R)) (* (exp (log (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (sqrt R)) (* (exp (log (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (sqrt R)) (* (sqrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (sqrt R)) (* (sqrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (sqrt R)) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (* (cbrt R) (cbrt R))) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (sqrt R)) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) 1) (* (exp (log (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) R) (* (exp (log (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) R) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) R) (* (cbrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) R) (* (sqrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) R) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) R) (expm1 (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (log1p (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (exp 1) (exp (* (cbrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (cbrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))))) (exp (sqrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (exp 1) (exp (log (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))))) (exp (log (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (exp (log (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (exp (log (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (exp (log 1)) (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (log (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (exp (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (* (cbrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (cbrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))))) (cbrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (* (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (sqrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (sqrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) (log (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) (log (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) (log (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2)))))))) (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) R) (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) 1.921 * [simplify]: Sending expressions to egg_math: (expm1 (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3)))))))) (log1p (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3)))))))) (/ h4 2) (asin (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3))))))) (log (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3)))))))) (exp (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3)))))))) (* (cbrt (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3)))))))) (cbrt (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3))))))))) (cbrt (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3)))))))) (* (* (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3))))))) (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3)))))))) (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3)))))))) (sqrt (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3)))))))) (sqrt (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3)))))))) (expm1 (log (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3))))))))) (log1p (log (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3))))))))) (log (* (cbrt (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3)))))))) (cbrt (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3)))))))))) (log (cbrt (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3))))))))) (log (sqrt (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3))))))))) (log (sqrt (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3))))))))) (log 1) (log (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3)))))))) (log (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3)))))))) (log (log (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3))))))))) (exp (log (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3))))))))) (* (cbrt (log (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3))))))))) (cbrt (log (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3)))))))))) (cbrt (log (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3))))))))) (* (* (log (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3)))))))) (log (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3))))))))) (log (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3))))))))) (sqrt (log (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3))))))))) (sqrt (log (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3))))))))) (expm1 (* (exp (log (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3))))))))) h5)) (log1p (* (exp (log (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3))))))))) h5)) (* (exp (log (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3))))))))) h5) (+ (log (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3)))))))) (log h5)) (log (* (exp (log (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3))))))))) h5)) (exp (* (exp (log (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3))))))))) h5)) (* (* (* (exp (log (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3))))))))) (exp (log (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3)))))))))) (exp (log (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3)))))))))) (* (* h5 h5) h5)) (* (cbrt (* (exp (log (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3))))))))) h5)) (cbrt (* (exp (log (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3))))))))) h5))) (cbrt (* (exp (log (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3))))))))) h5)) (* (* (* (exp (log (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3))))))))) h5) (* (exp (log (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3))))))))) h5)) (* (exp (log (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3))))))))) h5)) (sqrt (* (exp (log (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3))))))))) h5)) (sqrt (* (exp (log (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3))))))))) h5)) (* (exp (log (sqrt (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3)))))))))) (sqrt h5)) (* (exp (log (sqrt (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3)))))))))) (sqrt h5)) (* (sqrt (exp (log (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3)))))))))) (sqrt h5)) (* (sqrt (exp (log (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3)))))))))) (sqrt h5)) (* (exp (log (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3))))))))) (* (cbrt h5) (cbrt h5))) (* (exp (log (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3))))))))) (sqrt h5)) (* (exp (log (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3))))))))) 1) (* (exp (log (cbrt (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3)))))))))) h5) (* (exp (log (sqrt (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3)))))))))) h5) (* (exp (log (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3))))))))) h5) (* (cbrt (exp (log (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3)))))))))) h5) (* (sqrt (exp (log (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3)))))))))) h5) (* (exp (log (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3))))))))) h5) (expm1 (exp (log (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3)))))))))) (log1p (exp (log (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3)))))))))) (exp 1) (exp (* (cbrt (log (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3))))))))) (cbrt (log (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3))))))))))) (exp (sqrt (log (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3)))))))))) (exp 1) (exp (log (* (cbrt (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3)))))))) (cbrt (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3))))))))))) (exp (log (cbrt (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3)))))))))) (exp (log (sqrt (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3)))))))))) (exp (log (sqrt (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3)))))))))) (exp (log 1)) (exp (log (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3))))))))) (log (exp (log (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3)))))))))) (exp (exp (log (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3)))))))))) (* (cbrt (exp (log (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3)))))))))) (cbrt (exp (log (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3))))))))))) (cbrt (exp (log (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3)))))))))) (* (* (exp (log (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3))))))))) (exp (log (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3)))))))))) (exp (log (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3)))))))))) (sqrt (exp (log (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3)))))))))) (sqrt (exp (log (acos (+ (* (sin h0) (sin h1)) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3)))))))))) (acos (- (+ (* (sin h0) (sin h1)) (* (cos h2) (* (cos h0) (* (cos h1) (cos h3))))) (* (sin h2) (* (cos h0) (* (cos h1) (sin (- h3))))))) (acos (- (+ (* (sin h0) (sin h1)) (* (cos h2) (* (cos h0) (* (cos h1) (cos h3))))) (* (sin h2) (* (cos h0) (* (cos h1) (sin (- h3))))))) (acos (- (+ (* (sin h0) (sin h1)) (* (cos h2) (* (cos h0) (* (cos h1) (cos h3))))) (* (sin h2) (* (cos h0) (* (cos h1) (sin (* -1 h3))))))) (log (acos (- (+ (* (sin h0) (sin h1)) (* (cos h2) (* (cos h0) (* (cos h1) (cos h3))))) (* (sin h2) (* (cos h0) (* (cos h1) (sin (- h3)))))))) (log (acos (- (+ (* (sin h0) (sin h1)) (* (cos h2) (* (cos h0) (* (cos h1) (cos h3))))) (* (sin h2) (* (cos h0) (* (cos h1) (sin (- h3)))))))) (log (acos (- (+ (* (sin h0) (sin h1)) (* (cos h2) (* (cos h0) (* (cos h1) (cos h3))))) (* (sin h2) (* (cos h0) (* (cos h1) (sin (* -1 h3)))))))) (* (acos (- (+ (* (sin h0) (sin h1)) (* (cos h2) (* (cos h0) (* (cos h1) (cos h3))))) (* (sin h2) (* (cos h0) (* (cos h1) (sin (- h3))))))) h5) (* (acos (- (+ (* (sin h0) (sin h1)) (* (cos h2) (* (cos h0) (* (cos h1) (cos h3))))) (* (sin h2) (* (cos h0) (* (cos h1) (sin (- h3))))))) h5) (* (acos (- (+ (* (sin h0) (sin h1)) (* (cos h2) (* (cos h0) (* (cos h1) (cos h3))))) (* (sin h2) (* (cos h0) (* (cos h1) (sin (* -1 h3))))))) h5) (acos (- (+ (* (sin h0) (sin h1)) (* (cos h2) (* (cos h0) (* (cos h1) (cos h3))))) (* (sin h2) (* (cos h0) (* (cos h1) (sin (- h3))))))) (acos (- (+ (* (sin h0) (sin h1)) (* (cos h2) (* (cos h0) (* (cos h1) (cos h3))))) (* (sin h2) (* (cos h0) (* (cos h1) (sin (- h3))))))) (acos (- (+ (* (sin h0) (sin h1)) (* (cos h2) (* (cos h0) (* (cos h1) (cos h3))))) (* (sin h2) (* (cos h0) (* (cos h1) (sin (* -1 h3))))))) 1.927 * * [simplify]: iteration 0 : 197 enodes (cost 1827 ) 1.930 * * [simplify]: iteration 1 : 437 enodes (cost 1620 ) 1.937 * * [simplify]: iteration 2 : 1068 enodes (cost 1524 ) 1.951 * * [simplify]: iteration 3 : 2033 enodes (cost 1518 ) 1.978 * * [simplify]: iteration 4 : 4429 enodes (cost 1518 ) 2.091 * * [simplify]: iteration 5 : 5001 enodes (cost 1518 ) 2.096 * * * [progress]: adding candidates to table 2.458 * * [progress]: iteration 4 / 4 2.458 * * * [progress]: picking best candidate 2.562 * * * * [pick]: Picked # 2.562 * * * [progress]: localizing error 2.597 * * * [progress]: generating rewritten candidates 2.597 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 2.598 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 2.605 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1 1) 2.616 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 2 2) 2.634 * * * [progress]: generating series expansions 2.635 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 2.635 * [backup-simplify]: Simplify (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) into (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2.635 * [approximate]: Taking taylor expansion of (acos (- (+ (log1p (expm1 (* (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 2.635 * [taylor]: Taking taylor expansion of (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda2 2.635 * [backup-simplify]: Simplify (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2.635 * [taylor]: Taking taylor expansion of (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda1 2.636 * [backup-simplify]: Simplify (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2.636 * [taylor]: Taking taylor expansion of (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi2 2.636 * [backup-simplify]: Simplify (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2.636 * [taylor]: Taking taylor expansion of (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi1 2.637 * [backup-simplify]: Simplify (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2.637 * [taylor]: Taking taylor expansion of (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi1 2.637 * [backup-simplify]: Simplify (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2.637 * [taylor]: Taking taylor expansion of (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi2 2.637 * [backup-simplify]: Simplify (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2.638 * [taylor]: Taking taylor expansion of (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda1 2.638 * [backup-simplify]: Simplify (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2.638 * [taylor]: Taking taylor expansion of (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda2 2.638 * [backup-simplify]: Simplify (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2.639 * [backup-simplify]: Simplify (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2.639 * [taylor]: Taking taylor expansion of 0 in phi2 2.639 * [backup-simplify]: Simplify 0 into 0 2.639 * [taylor]: Taking taylor expansion of 0 in lambda1 2.639 * [backup-simplify]: Simplify 0 into 0 2.639 * [taylor]: Taking taylor expansion of 0 in lambda2 2.639 * [backup-simplify]: Simplify 0 into 0 2.639 * [backup-simplify]: Simplify 0 into 0 2.639 * [taylor]: Taking taylor expansion of 0 in lambda1 2.639 * [backup-simplify]: Simplify 0 into 0 2.639 * [taylor]: Taking taylor expansion of 0 in lambda2 2.639 * [backup-simplify]: Simplify 0 into 0 2.639 * [backup-simplify]: Simplify 0 into 0 2.639 * [taylor]: Taking taylor expansion of 0 in lambda2 2.639 * [backup-simplify]: Simplify 0 into 0 2.639 * [backup-simplify]: Simplify 0 into 0 2.639 * [backup-simplify]: Simplify 0 into 0 2.639 * [taylor]: Taking taylor expansion of 0 in phi2 2.639 * [backup-simplify]: Simplify 0 into 0 2.639 * [taylor]: Taking taylor expansion of 0 in lambda1 2.639 * [backup-simplify]: Simplify 0 into 0 2.639 * [taylor]: Taking taylor expansion of 0 in lambda2 2.639 * [backup-simplify]: Simplify 0 into 0 2.639 * [backup-simplify]: Simplify 0 into 0 2.639 * [taylor]: Taking taylor expansion of 0 in lambda1 2.639 * [backup-simplify]: Simplify 0 into 0 2.639 * [taylor]: Taking taylor expansion of 0 in lambda2 2.639 * [backup-simplify]: Simplify 0 into 0 2.639 * [backup-simplify]: Simplify 0 into 0 2.640 * [backup-simplify]: Simplify (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2.640 * [backup-simplify]: Simplify (acos (+ (log1p (expm1 (* (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))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2.640 * [approximate]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.640 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 2.641 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2.641 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 2.641 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2.641 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 2.642 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2.642 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 2.642 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2.642 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 2.643 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2.643 * [taylor]: Taking taylor expansion of (acos (- (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 2.643 * [backup-simplify]: Simplify (acos (- (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2.643 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 2.644 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2.644 * [taylor]: Taking taylor expansion of (acos (- (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 2.644 * [backup-simplify]: Simplify (acos (- (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2.645 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2.645 * [taylor]: Taking taylor expansion of 0 in phi2 2.645 * [backup-simplify]: Simplify 0 into 0 2.645 * [taylor]: Taking taylor expansion of 0 in lambda1 2.645 * [backup-simplify]: Simplify 0 into 0 2.645 * [taylor]: Taking taylor expansion of 0 in lambda2 2.645 * [backup-simplify]: Simplify 0 into 0 2.645 * [backup-simplify]: Simplify 0 into 0 2.645 * [taylor]: Taking taylor expansion of 0 in lambda1 2.645 * [backup-simplify]: Simplify 0 into 0 2.645 * [taylor]: Taking taylor expansion of 0 in lambda2 2.645 * [backup-simplify]: Simplify 0 into 0 2.645 * [backup-simplify]: Simplify 0 into 0 2.645 * [taylor]: Taking taylor expansion of 0 in lambda2 2.645 * [backup-simplify]: Simplify 0 into 0 2.645 * [backup-simplify]: Simplify 0 into 0 2.645 * [backup-simplify]: Simplify 0 into 0 2.645 * [taylor]: Taking taylor expansion of 0 in phi2 2.645 * [backup-simplify]: Simplify 0 into 0 2.645 * [taylor]: Taking taylor expansion of 0 in lambda1 2.645 * [backup-simplify]: Simplify 0 into 0 2.645 * [taylor]: Taking taylor expansion of 0 in lambda2 2.645 * [backup-simplify]: Simplify 0 into 0 2.645 * [backup-simplify]: Simplify 0 into 0 2.645 * [taylor]: Taking taylor expansion of 0 in lambda1 2.645 * [backup-simplify]: Simplify 0 into 0 2.646 * [taylor]: Taking taylor expansion of 0 in lambda2 2.646 * [backup-simplify]: Simplify 0 into 0 2.646 * [backup-simplify]: Simplify 0 into 0 2.646 * [backup-simplify]: Simplify (acos (- (+ (log1p (expm1 (* (sin (/ 1 (/ 1 phi1))) (sin (/ 1 (/ 1 phi2)))))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi1))) (cos (/ 1 (/ 1 lambda1))))))) (* (sin (/ 1 (/ 1 lambda1))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 phi1))) (sin (- (/ 1 (/ 1 lambda2))))))))) into (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2.647 * [backup-simplify]: Simplify (acos (+ (log1p (expm1 (* (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 (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2.647 * [approximate]: Taking taylor expansion of (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.647 * [taylor]: Taking taylor expansion of (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 2.647 * [backup-simplify]: Simplify (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2.647 * [taylor]: Taking taylor expansion of (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 2.648 * [backup-simplify]: Simplify (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2.648 * [taylor]: Taking taylor expansion of (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 2.648 * [backup-simplify]: Simplify (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2.648 * [taylor]: Taking taylor expansion of (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 2.649 * [backup-simplify]: Simplify (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2.649 * [taylor]: Taking taylor expansion of (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 2.649 * [backup-simplify]: Simplify (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2.649 * [taylor]: Taking taylor expansion of (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 2.650 * [backup-simplify]: Simplify (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2.650 * [taylor]: Taking taylor expansion of (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 2.650 * [backup-simplify]: Simplify (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2.650 * [taylor]: Taking taylor expansion of (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 2.651 * [backup-simplify]: Simplify (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2.651 * [backup-simplify]: Simplify (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2.652 * [taylor]: Taking taylor expansion of 0 in phi2 2.652 * [backup-simplify]: Simplify 0 into 0 2.652 * [taylor]: Taking taylor expansion of 0 in lambda1 2.652 * [backup-simplify]: Simplify 0 into 0 2.652 * [taylor]: Taking taylor expansion of 0 in lambda2 2.652 * [backup-simplify]: Simplify 0 into 0 2.652 * [backup-simplify]: Simplify 0 into 0 2.652 * [taylor]: Taking taylor expansion of 0 in lambda1 2.652 * [backup-simplify]: Simplify 0 into 0 2.652 * [taylor]: Taking taylor expansion of 0 in lambda2 2.652 * [backup-simplify]: Simplify 0 into 0 2.652 * [backup-simplify]: Simplify 0 into 0 2.652 * [taylor]: Taking taylor expansion of 0 in lambda2 2.652 * [backup-simplify]: Simplify 0 into 0 2.652 * [backup-simplify]: Simplify 0 into 0 2.652 * [backup-simplify]: Simplify 0 into 0 2.652 * [taylor]: Taking taylor expansion of 0 in phi2 2.652 * [backup-simplify]: Simplify 0 into 0 2.652 * [taylor]: Taking taylor expansion of 0 in lambda1 2.652 * [backup-simplify]: Simplify 0 into 0 2.652 * [taylor]: Taking taylor expansion of 0 in lambda2 2.652 * [backup-simplify]: Simplify 0 into 0 2.652 * [backup-simplify]: Simplify 0 into 0 2.652 * [taylor]: Taking taylor expansion of 0 in lambda1 2.652 * [backup-simplify]: Simplify 0 into 0 2.652 * [taylor]: Taking taylor expansion of 0 in lambda2 2.652 * [backup-simplify]: Simplify 0 into 0 2.652 * [backup-simplify]: Simplify 0 into 0 2.653 * [backup-simplify]: Simplify (acos (- (+ (log1p (expm1 (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2)))))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (sin (/ 1 (/ 1 (- lambda2)))) (cos (/ -1 (/ 1 (- phi2))))))))) into (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) 2.653 * * * * [progress]: [ 2 / 4 ] generating series at (2) 2.653 * [backup-simplify]: Simplify (* (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) into (* (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) 2.653 * [approximate]: Taking taylor expansion of (* (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 2.653 * [taylor]: Taking taylor expansion of (* (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in R 2.653 * [taylor]: Taking taylor expansion of (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in R 2.654 * [backup-simplify]: Simplify (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2.654 * [taylor]: Taking taylor expansion of R in R 2.654 * [backup-simplify]: Simplify 0 into 0 2.654 * [backup-simplify]: Simplify 1 into 1 2.654 * [taylor]: Taking taylor expansion of (* (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in lambda2 2.654 * [taylor]: Taking taylor expansion of (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda2 2.654 * [backup-simplify]: Simplify (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2.654 * [taylor]: Taking taylor expansion of R in lambda2 2.654 * [backup-simplify]: Simplify R into R 2.654 * [taylor]: Taking taylor expansion of (* (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in lambda1 2.654 * [taylor]: Taking taylor expansion of (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda1 2.655 * [backup-simplify]: Simplify (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2.655 * [taylor]: Taking taylor expansion of R in lambda1 2.655 * [backup-simplify]: Simplify R into R 2.655 * [taylor]: Taking taylor expansion of (* (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in phi2 2.655 * [taylor]: Taking taylor expansion of (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi2 2.655 * [backup-simplify]: Simplify (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2.655 * [taylor]: Taking taylor expansion of R in phi2 2.655 * [backup-simplify]: Simplify R into R 2.655 * [taylor]: Taking taylor expansion of (* (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in phi1 2.655 * [taylor]: Taking taylor expansion of (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi1 2.656 * [backup-simplify]: Simplify (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2.656 * [taylor]: Taking taylor expansion of R in phi1 2.656 * [backup-simplify]: Simplify R into R 2.656 * [taylor]: Taking taylor expansion of (* (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in phi1 2.656 * [taylor]: Taking taylor expansion of (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi1 2.656 * [backup-simplify]: Simplify (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2.656 * [taylor]: Taking taylor expansion of R in phi1 2.656 * [backup-simplify]: Simplify R into R 2.656 * [backup-simplify]: Simplify (* (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) into (* (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) 2.656 * [taylor]: Taking taylor expansion of (* (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in phi2 2.656 * [taylor]: Taking taylor expansion of (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi2 2.657 * [backup-simplify]: Simplify (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2.657 * [taylor]: Taking taylor expansion of R in phi2 2.657 * [backup-simplify]: Simplify R into R 2.657 * [backup-simplify]: Simplify (* (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) into (* (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) 2.657 * [taylor]: Taking taylor expansion of (* (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in lambda1 2.657 * [taylor]: Taking taylor expansion of (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda1 2.658 * [backup-simplify]: Simplify (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2.658 * [taylor]: Taking taylor expansion of R in lambda1 2.658 * [backup-simplify]: Simplify R into R 2.658 * [backup-simplify]: Simplify (* (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) into (* (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) 2.658 * [taylor]: Taking taylor expansion of (* (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in lambda2 2.658 * [taylor]: Taking taylor expansion of (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda2 2.659 * [backup-simplify]: Simplify (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2.659 * [taylor]: Taking taylor expansion of R in lambda2 2.659 * [backup-simplify]: Simplify R into R 2.659 * [backup-simplify]: Simplify (* (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) into (* (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) 2.659 * [taylor]: Taking taylor expansion of (* (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in R 2.659 * [taylor]: Taking taylor expansion of (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in R 2.659 * [backup-simplify]: Simplify (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2.659 * [taylor]: Taking taylor expansion of R in R 2.659 * [backup-simplify]: Simplify 0 into 0 2.659 * [backup-simplify]: Simplify 1 into 1 2.660 * [backup-simplify]: Simplify (* (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 0) into 0 2.660 * [backup-simplify]: Simplify 0 into 0 2.660 * [backup-simplify]: Simplify (+ (* (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 0) (* 0 R)) into 0 2.660 * [taylor]: Taking taylor expansion of 0 in phi2 2.660 * [backup-simplify]: Simplify 0 into 0 2.660 * [taylor]: Taking taylor expansion of 0 in lambda1 2.660 * [backup-simplify]: Simplify 0 into 0 2.660 * [taylor]: Taking taylor expansion of 0 in lambda2 2.660 * [backup-simplify]: Simplify 0 into 0 2.660 * [taylor]: Taking taylor expansion of 0 in R 2.660 * [backup-simplify]: Simplify 0 into 0 2.660 * [backup-simplify]: Simplify 0 into 0 2.661 * [backup-simplify]: Simplify (+ (* (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 0) (* 0 R)) into 0 2.661 * [taylor]: Taking taylor expansion of 0 in lambda1 2.661 * [backup-simplify]: Simplify 0 into 0 2.661 * [taylor]: Taking taylor expansion of 0 in lambda2 2.661 * [backup-simplify]: Simplify 0 into 0 2.661 * [taylor]: Taking taylor expansion of 0 in R 2.661 * [backup-simplify]: Simplify 0 into 0 2.661 * [backup-simplify]: Simplify 0 into 0 2.661 * [backup-simplify]: Simplify (+ (* (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 0) (* 0 R)) into 0 2.661 * [taylor]: Taking taylor expansion of 0 in lambda2 2.661 * [backup-simplify]: Simplify 0 into 0 2.661 * [taylor]: Taking taylor expansion of 0 in R 2.661 * [backup-simplify]: Simplify 0 into 0 2.661 * [backup-simplify]: Simplify 0 into 0 2.662 * [backup-simplify]: Simplify (+ (* (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 0) (* 0 R)) into 0 2.662 * [taylor]: Taking taylor expansion of 0 in R 2.662 * [backup-simplify]: Simplify 0 into 0 2.662 * [backup-simplify]: Simplify 0 into 0 2.663 * [backup-simplify]: Simplify (+ (* (acos (- (+ (log1p (expm1 (* (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 (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2.663 * [backup-simplify]: Simplify (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) into (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 2.664 * [backup-simplify]: Simplify (+ (* (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 0) (+ (* 0 0) (* 0 R))) into 0 2.664 * [taylor]: Taking taylor expansion of 0 in phi2 2.664 * [backup-simplify]: Simplify 0 into 0 2.664 * [taylor]: Taking taylor expansion of 0 in lambda1 2.664 * [backup-simplify]: Simplify 0 into 0 2.664 * [taylor]: Taking taylor expansion of 0 in lambda2 2.664 * [backup-simplify]: Simplify 0 into 0 2.664 * [taylor]: Taking taylor expansion of 0 in R 2.664 * [backup-simplify]: Simplify 0 into 0 2.664 * [backup-simplify]: Simplify 0 into 0 2.664 * [taylor]: Taking taylor expansion of 0 in lambda1 2.664 * [backup-simplify]: Simplify 0 into 0 2.664 * [taylor]: Taking taylor expansion of 0 in lambda2 2.664 * [backup-simplify]: Simplify 0 into 0 2.664 * [taylor]: Taking taylor expansion of 0 in R 2.664 * [backup-simplify]: Simplify 0 into 0 2.664 * [backup-simplify]: Simplify 0 into 0 2.665 * [backup-simplify]: Simplify (+ (* (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 0) (+ (* 0 0) (* 0 R))) into 0 2.665 * [taylor]: Taking taylor expansion of 0 in lambda1 2.665 * [backup-simplify]: Simplify 0 into 0 2.665 * [taylor]: Taking taylor expansion of 0 in lambda2 2.665 * [backup-simplify]: Simplify 0 into 0 2.665 * [taylor]: Taking taylor expansion of 0 in R 2.665 * [backup-simplify]: Simplify 0 into 0 2.665 * [backup-simplify]: Simplify 0 into 0 2.666 * [taylor]: Taking taylor expansion of 0 in lambda2 2.666 * [backup-simplify]: Simplify 0 into 0 2.666 * [taylor]: Taking taylor expansion of 0 in R 2.666 * [backup-simplify]: Simplify 0 into 0 2.666 * [backup-simplify]: Simplify 0 into 0 2.666 * [taylor]: Taking taylor expansion of 0 in lambda2 2.666 * [backup-simplify]: Simplify 0 into 0 2.666 * [taylor]: Taking taylor expansion of 0 in R 2.666 * [backup-simplify]: Simplify 0 into 0 2.666 * [backup-simplify]: Simplify 0 into 0 2.666 * [backup-simplify]: Simplify (+ (* (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 0) (+ (* 0 0) (* 0 R))) into 0 2.666 * [taylor]: Taking taylor expansion of 0 in lambda2 2.666 * [backup-simplify]: Simplify 0 into 0 2.666 * [taylor]: Taking taylor expansion of 0 in R 2.666 * [backup-simplify]: Simplify 0 into 0 2.666 * [backup-simplify]: Simplify 0 into 0 2.667 * [backup-simplify]: Simplify (* (acos (- (+ (log1p (expm1 (* (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 (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) 2.668 * [backup-simplify]: Simplify (* (acos (+ (log1p (expm1 (* (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))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) 2.668 * [approximate]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 2.668 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in R 2.668 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in R 2.668 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2.668 * [taylor]: Taking taylor expansion of R in R 2.668 * [backup-simplify]: Simplify 0 into 0 2.668 * [backup-simplify]: Simplify 1 into 1 2.669 * [backup-simplify]: Simplify (/ (acos (- (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1) into (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2.669 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in lambda2 2.669 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 2.670 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2.670 * [taylor]: Taking taylor expansion of R in lambda2 2.670 * [backup-simplify]: Simplify R into R 2.670 * [backup-simplify]: Simplify (/ (acos (- (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) into (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) 2.670 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in lambda1 2.670 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 2.671 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2.671 * [taylor]: Taking taylor expansion of R in lambda1 2.671 * [backup-simplify]: Simplify R into R 2.671 * [backup-simplify]: Simplify (/ (acos (- (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) into (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) 2.671 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in phi2 2.671 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 2.672 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2.672 * [taylor]: Taking taylor expansion of R in phi2 2.672 * [backup-simplify]: Simplify R into R 2.672 * [backup-simplify]: Simplify (/ (acos (- (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) into (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) 2.672 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in phi1 2.672 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 2.673 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2.673 * [taylor]: Taking taylor expansion of R in phi1 2.673 * [backup-simplify]: Simplify R into R 2.674 * [backup-simplify]: Simplify (/ (acos (- (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) into (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) 2.674 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in phi1 2.674 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 2.674 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2.674 * [taylor]: Taking taylor expansion of R in phi1 2.674 * [backup-simplify]: Simplify R into R 2.675 * [backup-simplify]: Simplify (/ (acos (- (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) into (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) 2.675 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in phi2 2.675 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 2.675 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2.675 * [taylor]: Taking taylor expansion of R in phi2 2.675 * [backup-simplify]: Simplify R into R 2.676 * [backup-simplify]: Simplify (/ (acos (- (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) into (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) 2.676 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in lambda1 2.676 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 2.676 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2.676 * [taylor]: Taking taylor expansion of R in lambda1 2.677 * [backup-simplify]: Simplify R into R 2.677 * [backup-simplify]: Simplify (/ (acos (- (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) into (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) 2.677 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in lambda2 2.677 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 2.678 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2.678 * [taylor]: Taking taylor expansion of R in lambda2 2.678 * [backup-simplify]: Simplify R into R 2.678 * [backup-simplify]: Simplify (/ (acos (- (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) into (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) 2.678 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in R 2.678 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in R 2.679 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2.679 * [taylor]: Taking taylor expansion of R in R 2.679 * [backup-simplify]: Simplify 0 into 0 2.679 * [backup-simplify]: Simplify 1 into 1 2.679 * [backup-simplify]: Simplify (/ (acos (- (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 1) into (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2.680 * [backup-simplify]: Simplify (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) into (acos (- (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 2.681 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) (/ 0 R)))) into 0 2.681 * [taylor]: Taking taylor expansion of 0 in phi2 2.681 * [backup-simplify]: Simplify 0 into 0 2.681 * [taylor]: Taking taylor expansion of 0 in lambda1 2.681 * [backup-simplify]: Simplify 0 into 0 2.681 * [taylor]: Taking taylor expansion of 0 in lambda2 2.681 * [backup-simplify]: Simplify 0 into 0 2.681 * [taylor]: Taking taylor expansion of 0 in R 2.681 * [backup-simplify]: Simplify 0 into 0 2.682 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) (/ 0 R)))) into 0 2.682 * [taylor]: Taking taylor expansion of 0 in lambda1 2.682 * [backup-simplify]: Simplify 0 into 0 2.682 * [taylor]: Taking taylor expansion of 0 in lambda2 2.682 * [backup-simplify]: Simplify 0 into 0 2.682 * [taylor]: Taking taylor expansion of 0 in R 2.682 * [backup-simplify]: Simplify 0 into 0 2.683 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) (/ 0 R)))) into 0 2.683 * [taylor]: Taking taylor expansion of 0 in lambda2 2.683 * [backup-simplify]: Simplify 0 into 0 2.683 * [taylor]: Taking taylor expansion of 0 in R 2.683 * [backup-simplify]: Simplify 0 into 0 2.683 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) (/ 0 R)))) into 0 2.684 * [taylor]: Taking taylor expansion of 0 in R 2.684 * [backup-simplify]: Simplify 0 into 0 2.685 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) (/ 0 1)))) into 0 2.685 * [backup-simplify]: Simplify 0 into 0 2.686 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 2.686 * [taylor]: Taking taylor expansion of 0 in phi2 2.686 * [backup-simplify]: Simplify 0 into 0 2.686 * [taylor]: Taking taylor expansion of 0 in lambda1 2.686 * [backup-simplify]: Simplify 0 into 0 2.686 * [taylor]: Taking taylor expansion of 0 in lambda2 2.686 * [backup-simplify]: Simplify 0 into 0 2.686 * [taylor]: Taking taylor expansion of 0 in R 2.686 * [backup-simplify]: Simplify 0 into 0 2.686 * [taylor]: Taking taylor expansion of 0 in lambda1 2.686 * [backup-simplify]: Simplify 0 into 0 2.686 * [taylor]: Taking taylor expansion of 0 in lambda2 2.686 * [backup-simplify]: Simplify 0 into 0 2.686 * [taylor]: Taking taylor expansion of 0 in R 2.686 * [backup-simplify]: Simplify 0 into 0 2.686 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 2.687 * [taylor]: Taking taylor expansion of 0 in lambda1 2.687 * [backup-simplify]: Simplify 0 into 0 2.687 * [taylor]: Taking taylor expansion of 0 in lambda2 2.687 * [backup-simplify]: Simplify 0 into 0 2.687 * [taylor]: Taking taylor expansion of 0 in R 2.687 * [backup-simplify]: Simplify 0 into 0 2.687 * [taylor]: Taking taylor expansion of 0 in lambda2 2.687 * [backup-simplify]: Simplify 0 into 0 2.687 * [taylor]: Taking taylor expansion of 0 in R 2.687 * [backup-simplify]: Simplify 0 into 0 2.687 * [taylor]: Taking taylor expansion of 0 in lambda2 2.687 * [backup-simplify]: Simplify 0 into 0 2.687 * [taylor]: Taking taylor expansion of 0 in R 2.687 * [backup-simplify]: Simplify 0 into 0 2.687 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 2.687 * [taylor]: Taking taylor expansion of 0 in lambda2 2.687 * [backup-simplify]: Simplify 0 into 0 2.687 * [taylor]: Taking taylor expansion of 0 in R 2.687 * [backup-simplify]: Simplify 0 into 0 2.687 * [taylor]: Taking taylor expansion of 0 in R 2.687 * [backup-simplify]: Simplify 0 into 0 2.688 * [taylor]: Taking taylor expansion of 0 in R 2.688 * [backup-simplify]: Simplify 0 into 0 2.688 * [taylor]: Taking taylor expansion of 0 in R 2.688 * [backup-simplify]: Simplify 0 into 0 2.688 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 2.688 * [taylor]: Taking taylor expansion of 0 in R 2.688 * [backup-simplify]: Simplify 0 into 0 2.688 * [backup-simplify]: Simplify 0 into 0 2.688 * [backup-simplify]: Simplify 0 into 0 2.688 * [backup-simplify]: Simplify 0 into 0 2.688 * [backup-simplify]: Simplify 0 into 0 2.690 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.690 * [backup-simplify]: Simplify 0 into 0 2.691 * [backup-simplify]: Simplify (* (acos (- (+ (log1p (expm1 (* (sin (/ 1 (/ 1 phi1))) (sin (/ 1 (/ 1 phi2)))))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi1))) (cos (/ 1 (/ 1 lambda1))))))) (* (sin (/ 1 (/ 1 lambda1))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 phi1))) (sin (- (/ 1 (/ 1 lambda2))))))))) (* (/ 1 (/ 1 R)) (* 1 (* 1 (* 1 1))))) into (* (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) 2.692 * [backup-simplify]: Simplify (* (acos (+ (log1p (expm1 (* (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 (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) 2.692 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 2.692 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in R 2.692 * [taylor]: Taking taylor expansion of -1 in R 2.692 * [backup-simplify]: Simplify -1 into -1 2.692 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in R 2.692 * [taylor]: Taking taylor expansion of (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in R 2.692 * [backup-simplify]: Simplify (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2.692 * [taylor]: Taking taylor expansion of R in R 2.692 * [backup-simplify]: Simplify 0 into 0 2.692 * [backup-simplify]: Simplify 1 into 1 2.693 * [backup-simplify]: Simplify (/ (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1) into (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2.693 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda2 2.693 * [taylor]: Taking taylor expansion of -1 in lambda2 2.693 * [backup-simplify]: Simplify -1 into -1 2.693 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda2 2.693 * [taylor]: Taking taylor expansion of (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 2.693 * [backup-simplify]: Simplify (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2.693 * [taylor]: Taking taylor expansion of R in lambda2 2.693 * [backup-simplify]: Simplify R into R 2.694 * [backup-simplify]: Simplify (/ (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) into (/ (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) 2.694 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda1 2.694 * [taylor]: Taking taylor expansion of -1 in lambda1 2.694 * [backup-simplify]: Simplify -1 into -1 2.694 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda1 2.694 * [taylor]: Taking taylor expansion of (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 2.695 * [backup-simplify]: Simplify (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2.695 * [taylor]: Taking taylor expansion of R in lambda1 2.695 * [backup-simplify]: Simplify R into R 2.695 * [backup-simplify]: Simplify (/ (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) into (/ (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) 2.695 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi2 2.695 * [taylor]: Taking taylor expansion of -1 in phi2 2.695 * [backup-simplify]: Simplify -1 into -1 2.695 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi2 2.695 * [taylor]: Taking taylor expansion of (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 2.696 * [backup-simplify]: Simplify (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2.696 * [taylor]: Taking taylor expansion of R in phi2 2.696 * [backup-simplify]: Simplify R into R 2.696 * [backup-simplify]: Simplify (/ (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) into (/ (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) 2.696 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi1 2.696 * [taylor]: Taking taylor expansion of -1 in phi1 2.696 * [backup-simplify]: Simplify -1 into -1 2.696 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi1 2.696 * [taylor]: Taking taylor expansion of (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 2.697 * [backup-simplify]: Simplify (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2.697 * [taylor]: Taking taylor expansion of R in phi1 2.697 * [backup-simplify]: Simplify R into R 2.697 * [backup-simplify]: Simplify (/ (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) into (/ (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) 2.697 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi1 2.697 * [taylor]: Taking taylor expansion of -1 in phi1 2.698 * [backup-simplify]: Simplify -1 into -1 2.698 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi1 2.698 * [taylor]: Taking taylor expansion of (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 2.698 * [backup-simplify]: Simplify (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2.698 * [taylor]: Taking taylor expansion of R in phi1 2.698 * [backup-simplify]: Simplify R into R 2.699 * [backup-simplify]: Simplify (/ (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) into (/ (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) 2.699 * [backup-simplify]: Simplify (* -1 (/ (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) into (* -1 (/ (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) 2.699 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi2 2.699 * [taylor]: Taking taylor expansion of -1 in phi2 2.699 * [backup-simplify]: Simplify -1 into -1 2.699 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi2 2.699 * [taylor]: Taking taylor expansion of (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 2.700 * [backup-simplify]: Simplify (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2.700 * [taylor]: Taking taylor expansion of R in phi2 2.700 * [backup-simplify]: Simplify R into R 2.700 * [backup-simplify]: Simplify (/ (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) into (/ (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) 2.701 * [backup-simplify]: Simplify (* -1 (/ (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) into (* -1 (/ (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) 2.701 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda1 2.701 * [taylor]: Taking taylor expansion of -1 in lambda1 2.701 * [backup-simplify]: Simplify -1 into -1 2.701 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda1 2.701 * [taylor]: Taking taylor expansion of (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 2.702 * [backup-simplify]: Simplify (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2.702 * [taylor]: Taking taylor expansion of R in lambda1 2.702 * [backup-simplify]: Simplify R into R 2.702 * [backup-simplify]: Simplify (/ (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) into (/ (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) 2.703 * [backup-simplify]: Simplify (* -1 (/ (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) into (* -1 (/ (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) 2.703 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda2 2.703 * [taylor]: Taking taylor expansion of -1 in lambda2 2.703 * [backup-simplify]: Simplify -1 into -1 2.703 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda2 2.703 * [taylor]: Taking taylor expansion of (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 2.703 * [backup-simplify]: Simplify (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2.703 * [taylor]: Taking taylor expansion of R in lambda2 2.703 * [backup-simplify]: Simplify R into R 2.704 * [backup-simplify]: Simplify (/ (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) into (/ (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) 2.704 * [backup-simplify]: Simplify (* -1 (/ (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) into (* -1 (/ (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) 2.704 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in R 2.704 * [taylor]: Taking taylor expansion of -1 in R 2.704 * [backup-simplify]: Simplify -1 into -1 2.704 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in R 2.705 * [taylor]: Taking taylor expansion of (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in R 2.705 * [backup-simplify]: Simplify (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) into (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2.705 * [taylor]: Taking taylor expansion of R in R 2.705 * [backup-simplify]: Simplify 0 into 0 2.705 * [backup-simplify]: Simplify 1 into 1 2.706 * [backup-simplify]: Simplify (/ (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 1) into (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 2.706 * [backup-simplify]: Simplify (* -1 (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) into (* -1 (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) 2.707 * [backup-simplify]: Simplify (* -1 (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) into (* -1 (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) 2.707 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) (/ 0 R)))) into 0 2.708 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R))) into 0 2.708 * [taylor]: Taking taylor expansion of 0 in phi2 2.708 * [backup-simplify]: Simplify 0 into 0 2.709 * [taylor]: Taking taylor expansion of 0 in lambda1 2.709 * [backup-simplify]: Simplify 0 into 0 2.709 * [taylor]: Taking taylor expansion of 0 in lambda2 2.709 * [backup-simplify]: Simplify 0 into 0 2.709 * [taylor]: Taking taylor expansion of 0 in R 2.709 * [backup-simplify]: Simplify 0 into 0 2.709 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) (/ 0 R)))) into 0 2.710 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R))) into 0 2.710 * [taylor]: Taking taylor expansion of 0 in lambda1 2.710 * [backup-simplify]: Simplify 0 into 0 2.710 * [taylor]: Taking taylor expansion of 0 in lambda2 2.710 * [backup-simplify]: Simplify 0 into 0 2.710 * [taylor]: Taking taylor expansion of 0 in R 2.710 * [backup-simplify]: Simplify 0 into 0 2.711 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) (/ 0 R)))) into 0 2.712 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R))) into 0 2.712 * [taylor]: Taking taylor expansion of 0 in lambda2 2.712 * [backup-simplify]: Simplify 0 into 0 2.712 * [taylor]: Taking taylor expansion of 0 in R 2.712 * [backup-simplify]: Simplify 0 into 0 2.715 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) (/ 0 R)))) into 0 2.716 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R))) into 0 2.716 * [taylor]: Taking taylor expansion of 0 in R 2.716 * [backup-simplify]: Simplify 0 into 0 2.717 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) (/ 0 1)))) into 0 2.718 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))))) into 0 2.718 * [backup-simplify]: Simplify 0 into 0 2.719 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 2.720 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)))) into 0 2.720 * [taylor]: Taking taylor expansion of 0 in phi2 2.720 * [backup-simplify]: Simplify 0 into 0 2.720 * [taylor]: Taking taylor expansion of 0 in lambda1 2.720 * [backup-simplify]: Simplify 0 into 0 2.720 * [taylor]: Taking taylor expansion of 0 in lambda2 2.720 * [backup-simplify]: Simplify 0 into 0 2.720 * [taylor]: Taking taylor expansion of 0 in R 2.720 * [backup-simplify]: Simplify 0 into 0 2.720 * [taylor]: Taking taylor expansion of 0 in lambda1 2.720 * [backup-simplify]: Simplify 0 into 0 2.720 * [taylor]: Taking taylor expansion of 0 in lambda2 2.720 * [backup-simplify]: Simplify 0 into 0 2.720 * [taylor]: Taking taylor expansion of 0 in R 2.720 * [backup-simplify]: Simplify 0 into 0 2.721 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 2.722 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)))) into 0 2.722 * [taylor]: Taking taylor expansion of 0 in lambda1 2.722 * [backup-simplify]: Simplify 0 into 0 2.722 * [taylor]: Taking taylor expansion of 0 in lambda2 2.722 * [backup-simplify]: Simplify 0 into 0 2.722 * [taylor]: Taking taylor expansion of 0 in R 2.722 * [backup-simplify]: Simplify 0 into 0 2.722 * [taylor]: Taking taylor expansion of 0 in lambda2 2.722 * [backup-simplify]: Simplify 0 into 0 2.722 * [taylor]: Taking taylor expansion of 0 in R 2.722 * [backup-simplify]: Simplify 0 into 0 2.722 * [taylor]: Taking taylor expansion of 0 in lambda2 2.722 * [backup-simplify]: Simplify 0 into 0 2.722 * [taylor]: Taking taylor expansion of 0 in R 2.722 * [backup-simplify]: Simplify 0 into 0 2.723 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 2.724 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)))) into 0 2.724 * [taylor]: Taking taylor expansion of 0 in lambda2 2.724 * [backup-simplify]: Simplify 0 into 0 2.724 * [taylor]: Taking taylor expansion of 0 in R 2.724 * [backup-simplify]: Simplify 0 into 0 2.724 * [taylor]: Taking taylor expansion of 0 in R 2.724 * [backup-simplify]: Simplify 0 into 0 2.724 * [taylor]: Taking taylor expansion of 0 in R 2.724 * [backup-simplify]: Simplify 0 into 0 2.724 * [taylor]: Taking taylor expansion of 0 in R 2.724 * [backup-simplify]: Simplify 0 into 0 2.725 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 2.726 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)))) into 0 2.726 * [taylor]: Taking taylor expansion of 0 in R 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 * [backup-simplify]: Simplify 0 into 0 2.726 * [backup-simplify]: Simplify 0 into 0 2.727 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.728 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))))) into 0 2.729 * [backup-simplify]: Simplify 0 into 0 2.730 * [backup-simplify]: Simplify (* (* -1 (acos (- (+ (log1p (expm1 (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2)))))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (sin (/ 1 (/ 1 (- lambda2)))) (cos (/ -1 (/ 1 (- phi2)))))))))) (* (/ 1 (/ 1 (- R))) (* 1 (* 1 (* 1 1))))) into (* (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) R) 2.730 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1 1) 2.730 * [backup-simplify]: Simplify (* (sin phi1) (sin phi2)) into (* (sin phi1) (sin phi2)) 2.730 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 2.730 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 2.730 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 2.730 * [taylor]: Taking taylor expansion of phi1 in phi2 2.730 * [backup-simplify]: Simplify phi1 into phi1 2.730 * [backup-simplify]: Simplify (sin phi1) into (sin phi1) 2.730 * [backup-simplify]: Simplify (cos phi1) into (cos phi1) 2.730 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 2.730 * [taylor]: Taking taylor expansion of phi2 in phi2 2.730 * [backup-simplify]: Simplify 0 into 0 2.730 * [backup-simplify]: Simplify 1 into 1 2.730 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 2.730 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 2.730 * [taylor]: Taking taylor expansion of phi1 in phi1 2.730 * [backup-simplify]: Simplify 0 into 0 2.730 * [backup-simplify]: Simplify 1 into 1 2.730 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 2.730 * [taylor]: Taking taylor expansion of phi2 in phi1 2.730 * [backup-simplify]: Simplify phi2 into phi2 2.730 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 2.730 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 2.730 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 2.730 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 2.730 * [taylor]: Taking taylor expansion of phi1 in phi1 2.730 * [backup-simplify]: Simplify 0 into 0 2.730 * [backup-simplify]: Simplify 1 into 1 2.730 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 2.730 * [taylor]: Taking taylor expansion of phi2 in phi1 2.730 * [backup-simplify]: Simplify phi2 into phi2 2.730 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 2.730 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 2.731 * [backup-simplify]: Simplify (* (sin phi2) 1) into (sin phi2) 2.731 * [backup-simplify]: Simplify (* (cos phi2) 0) into 0 2.731 * [backup-simplify]: Simplify (+ (sin phi2) 0) into (sin phi2) 2.731 * [backup-simplify]: Simplify (* 0 (sin phi2)) into 0 2.731 * [taylor]: Taking taylor expansion of 0 in phi2 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 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (* 0 1)) into 0 2.732 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.732 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (* 0 0)) into 0 2.732 * [backup-simplify]: Simplify (+ 0 0) into 0 2.733 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 2.733 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin phi2))) into (sin phi2) 2.733 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 2.733 * [taylor]: Taking taylor expansion of phi2 in phi2 2.733 * [backup-simplify]: Simplify 0 into 0 2.733 * [backup-simplify]: Simplify 1 into 1 2.733 * [backup-simplify]: Simplify 0 into 0 2.733 * [backup-simplify]: Simplify 0 into 0 2.734 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.734 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (* 0 1))) into 0 2.734 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.735 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* 0 0))) into 0 2.735 * [backup-simplify]: Simplify (+ 0 0) into 0 2.735 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.736 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin phi2)))) into 0 2.736 * [taylor]: Taking taylor expansion of 0 in phi2 2.736 * [backup-simplify]: Simplify 0 into 0 2.736 * [backup-simplify]: Simplify 0 into 0 2.736 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 2.736 * [backup-simplify]: Simplify 1 into 1 2.737 * [backup-simplify]: Simplify 0 into 0 2.737 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.737 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.738 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.739 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.739 * [backup-simplify]: Simplify (+ 0 0) into 0 2.740 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 2.740 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin phi2))))) into (- (* 1/6 (sin phi2))) 2.740 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 2.740 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 2.740 * [taylor]: Taking taylor expansion of 1/6 in phi2 2.740 * [backup-simplify]: Simplify 1/6 into 1/6 2.740 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 2.740 * [taylor]: Taking taylor expansion of phi2 in phi2 2.740 * [backup-simplify]: Simplify 0 into 0 2.741 * [backup-simplify]: Simplify 1 into 1 2.741 * [backup-simplify]: Simplify (* 1/6 0) into 0 2.741 * [backup-simplify]: Simplify (- 0) into 0 2.741 * [backup-simplify]: Simplify 0 into 0 2.741 * [backup-simplify]: Simplify 0 into 0 2.741 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.742 * [backup-simplify]: Simplify 0 into 0 2.742 * [backup-simplify]: Simplify 0 into 0 2.743 * [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 2.743 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.744 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 2.744 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 2.745 * [backup-simplify]: Simplify (+ 0 0) into 0 2.745 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 2.746 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin phi2)))))) into 0 2.746 * [taylor]: Taking taylor expansion of 0 in phi2 2.746 * [backup-simplify]: Simplify 0 into 0 2.746 * [backup-simplify]: Simplify 0 into 0 2.746 * [backup-simplify]: Simplify (* 1 (* phi2 phi1)) into (* phi2 phi1) 2.747 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 2.747 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 2.747 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 2.747 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 2.747 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 2.747 * [taylor]: Taking taylor expansion of phi1 in phi2 2.747 * [backup-simplify]: Simplify phi1 into phi1 2.747 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 2.747 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 2.747 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 2.747 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 2.747 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 2.747 * [taylor]: Taking taylor expansion of phi2 in phi2 2.747 * [backup-simplify]: Simplify 0 into 0 2.747 * [backup-simplify]: Simplify 1 into 1 2.747 * [backup-simplify]: Simplify (/ 1 1) into 1 2.747 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 2.747 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 2.747 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 2.747 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 2.747 * [taylor]: Taking taylor expansion of phi1 in phi1 2.747 * [backup-simplify]: Simplify 0 into 0 2.747 * [backup-simplify]: Simplify 1 into 1 2.747 * [backup-simplify]: Simplify (/ 1 1) into 1 2.748 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 2.748 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 2.748 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 2.748 * [taylor]: Taking taylor expansion of phi2 in phi1 2.748 * [backup-simplify]: Simplify phi2 into phi2 2.748 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 2.748 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 2.748 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 2.748 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 2.748 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 2.748 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 2.748 * [taylor]: Taking taylor expansion of phi1 in phi1 2.748 * [backup-simplify]: Simplify 0 into 0 2.748 * [backup-simplify]: Simplify 1 into 1 2.748 * [backup-simplify]: Simplify (/ 1 1) into 1 2.748 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 2.748 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 2.748 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 2.748 * [taylor]: Taking taylor expansion of phi2 in phi1 2.748 * [backup-simplify]: Simplify phi2 into phi2 2.748 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 2.748 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 2.748 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 2.748 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 1) into (sin (/ 1 phi2)) 2.748 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 0) into 0 2.749 * [backup-simplify]: Simplify (+ (sin (/ 1 phi2)) 0) into (sin (/ 1 phi2)) 2.749 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 2.749 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 2.749 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 2.749 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 2.749 * [taylor]: Taking taylor expansion of phi1 in phi2 2.749 * [backup-simplify]: Simplify phi1 into phi1 2.749 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 2.749 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 2.749 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 2.749 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 2.749 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 2.749 * [taylor]: Taking taylor expansion of phi2 in phi2 2.749 * [backup-simplify]: Simplify 0 into 0 2.749 * [backup-simplify]: Simplify 1 into 1 2.749 * [backup-simplify]: Simplify (/ 1 1) into 1 2.749 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 2.749 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 1) into (sin (/ 1 phi1)) 2.749 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 0) into 0 2.749 * [backup-simplify]: Simplify (+ (sin (/ 1 phi1)) 0) into (sin (/ 1 phi1)) 2.749 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 2.749 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 2.750 * [backup-simplify]: Simplify (+ 0) into 0 2.750 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 1)) into 0 2.750 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 2.751 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.751 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 0)) into 0 2.751 * [backup-simplify]: Simplify (+ 0 0) into 0 2.751 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 (sin (/ 1 phi2)))) into 0 2.751 * [taylor]: Taking taylor expansion of 0 in phi2 2.751 * [backup-simplify]: Simplify 0 into 0 2.751 * [backup-simplify]: Simplify 0 into 0 2.751 * [backup-simplify]: Simplify (+ 0) into 0 2.752 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 1)) into 0 2.752 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 2.752 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.753 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 0)) into 0 2.753 * [backup-simplify]: Simplify (+ 0 0) into 0 2.753 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 (sin (/ 1 phi2)))) into 0 2.753 * [backup-simplify]: Simplify 0 into 0 2.753 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.754 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 2.754 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 2.754 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.755 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 2.755 * [backup-simplify]: Simplify (+ 0 0) into 0 2.755 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi2))))) into 0 2.755 * [taylor]: Taking taylor expansion of 0 in phi2 2.755 * [backup-simplify]: Simplify 0 into 0 2.755 * [backup-simplify]: Simplify 0 into 0 2.755 * [backup-simplify]: Simplify 0 into 0 2.756 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.756 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 2.756 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 2.757 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.757 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 2.758 * [backup-simplify]: Simplify (+ 0 0) into 0 2.758 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi2))))) into 0 2.758 * [backup-simplify]: Simplify 0 into 0 2.758 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.759 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.759 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 2.760 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.760 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.760 * [backup-simplify]: Simplify (+ 0 0) into 0 2.761 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 phi2)))))) into 0 2.761 * [taylor]: Taking taylor expansion of 0 in phi2 2.761 * [backup-simplify]: Simplify 0 into 0 2.761 * [backup-simplify]: Simplify 0 into 0 2.761 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 phi1))) (sin (/ 1 (/ 1 phi2)))) into (* (sin phi1) (sin phi2)) 2.761 * [backup-simplify]: Simplify (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 2.761 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 2.761 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 2.761 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 2.761 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 2.761 * [taylor]: Taking taylor expansion of -1 in phi2 2.761 * [backup-simplify]: Simplify -1 into -1 2.761 * [taylor]: Taking taylor expansion of phi1 in phi2 2.761 * [backup-simplify]: Simplify phi1 into phi1 2.761 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 2.762 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 2.762 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 2.762 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 2.762 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 2.762 * [taylor]: Taking taylor expansion of -1 in phi2 2.762 * [backup-simplify]: Simplify -1 into -1 2.762 * [taylor]: Taking taylor expansion of phi2 in phi2 2.762 * [backup-simplify]: Simplify 0 into 0 2.762 * [backup-simplify]: Simplify 1 into 1 2.762 * [backup-simplify]: Simplify (/ -1 1) into -1 2.762 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 2.762 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 2.762 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 2.762 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 2.762 * [taylor]: Taking taylor expansion of -1 in phi1 2.762 * [backup-simplify]: Simplify -1 into -1 2.762 * [taylor]: Taking taylor expansion of phi1 in phi1 2.762 * [backup-simplify]: Simplify 0 into 0 2.762 * [backup-simplify]: Simplify 1 into 1 2.762 * [backup-simplify]: Simplify (/ -1 1) into -1 2.762 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 2.762 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 2.762 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 2.762 * [taylor]: Taking taylor expansion of -1 in phi1 2.763 * [backup-simplify]: Simplify -1 into -1 2.763 * [taylor]: Taking taylor expansion of phi2 in phi1 2.763 * [backup-simplify]: Simplify phi2 into phi2 2.763 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 2.763 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 2.763 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 2.763 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 2.763 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 2.763 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 2.763 * [taylor]: Taking taylor expansion of -1 in phi1 2.763 * [backup-simplify]: Simplify -1 into -1 2.763 * [taylor]: Taking taylor expansion of phi1 in phi1 2.763 * [backup-simplify]: Simplify 0 into 0 2.763 * [backup-simplify]: Simplify 1 into 1 2.763 * [backup-simplify]: Simplify (/ -1 1) into -1 2.763 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 2.763 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 2.763 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 2.763 * [taylor]: Taking taylor expansion of -1 in phi1 2.763 * [backup-simplify]: Simplify -1 into -1 2.763 * [taylor]: Taking taylor expansion of phi2 in phi1 2.763 * [backup-simplify]: Simplify phi2 into phi2 2.763 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 2.763 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 2.763 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 2.763 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 1) into (sin (/ -1 phi2)) 2.763 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 0) into 0 2.764 * [backup-simplify]: Simplify (+ (sin (/ -1 phi2)) 0) into (sin (/ -1 phi2)) 2.764 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 2.764 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 2.764 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 2.764 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 2.764 * [taylor]: Taking taylor expansion of -1 in phi2 2.764 * [backup-simplify]: Simplify -1 into -1 2.764 * [taylor]: Taking taylor expansion of phi1 in phi2 2.764 * [backup-simplify]: Simplify phi1 into phi1 2.764 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 2.764 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 2.764 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 2.764 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 2.764 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 2.764 * [taylor]: Taking taylor expansion of -1 in phi2 2.764 * [backup-simplify]: Simplify -1 into -1 2.764 * [taylor]: Taking taylor expansion of phi2 in phi2 2.764 * [backup-simplify]: Simplify 0 into 0 2.764 * [backup-simplify]: Simplify 1 into 1 2.764 * [backup-simplify]: Simplify (/ -1 1) into -1 2.764 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 2.764 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 1) into (sin (/ -1 phi1)) 2.764 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 0) into 0 2.764 * [backup-simplify]: Simplify (+ (sin (/ -1 phi1)) 0) into (sin (/ -1 phi1)) 2.765 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 2.765 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 2.765 * [backup-simplify]: Simplify (+ 0) into 0 2.765 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 1)) into 0 2.765 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0 2.766 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.766 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 0)) into 0 2.766 * [backup-simplify]: Simplify (+ 0 0) into 0 2.767 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 2.767 * [taylor]: Taking taylor expansion of 0 in phi2 2.767 * [backup-simplify]: Simplify 0 into 0 2.767 * [backup-simplify]: Simplify 0 into 0 2.767 * [backup-simplify]: Simplify (+ 0) into 0 2.767 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 1)) into 0 2.767 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0 2.768 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.768 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 0)) into 0 2.768 * [backup-simplify]: Simplify (+ 0 0) into 0 2.768 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 2.768 * [backup-simplify]: Simplify 0 into 0 2.769 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.769 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 2.769 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 2.770 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.770 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 2.770 * [backup-simplify]: Simplify (+ 0 0) into 0 2.771 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 2.771 * [taylor]: Taking taylor expansion of 0 in phi2 2.771 * [backup-simplify]: Simplify 0 into 0 2.771 * [backup-simplify]: Simplify 0 into 0 2.771 * [backup-simplify]: Simplify 0 into 0 2.771 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.772 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 2.772 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 2.772 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.773 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 2.773 * [backup-simplify]: Simplify (+ 0 0) into 0 2.773 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 2.773 * [backup-simplify]: Simplify 0 into 0 2.774 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.774 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.774 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 2.775 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.775 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.776 * [backup-simplify]: Simplify (+ 0 0) into 0 2.776 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2)))))) into 0 2.776 * [taylor]: Taking taylor expansion of 0 in phi2 2.776 * [backup-simplify]: Simplify 0 into 0 2.776 * [backup-simplify]: Simplify 0 into 0 2.776 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) into (* (sin phi1) (sin phi2)) 2.776 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 2 2) 2.777 * [backup-simplify]: Simplify (* (sin lambda1) (sin (- lambda2))) into (* (sin lambda1) (sin (- lambda2))) 2.777 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in (lambda1 lambda2) around 0 2.777 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda2 2.777 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 2.777 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.777 * [backup-simplify]: Simplify lambda1 into lambda1 2.777 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 2.777 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 2.777 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 2.777 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 2.777 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.777 * [backup-simplify]: Simplify 0 into 0 2.777 * [backup-simplify]: Simplify 1 into 1 2.777 * [backup-simplify]: Simplify (- 0) into 0 2.777 * [backup-simplify]: Simplify (- 1) into -1 2.777 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda1 2.777 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 2.777 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.777 * [backup-simplify]: Simplify 0 into 0 2.777 * [backup-simplify]: Simplify 1 into 1 2.777 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda1 2.777 * [taylor]: Taking taylor expansion of (- lambda2) in lambda1 2.777 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.777 * [backup-simplify]: Simplify lambda2 into lambda2 2.777 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 2.777 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 2.777 * [backup-simplify]: Simplify (sin (- lambda2)) into (sin (- lambda2)) 2.777 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 2.777 * [backup-simplify]: Simplify (cos (- lambda2)) into (cos (- lambda2)) 2.777 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda1 2.777 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 2.778 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.778 * [backup-simplify]: Simplify 0 into 0 2.778 * [backup-simplify]: Simplify 1 into 1 2.778 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda1 2.778 * [taylor]: Taking taylor expansion of (- lambda2) in lambda1 2.778 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.778 * [backup-simplify]: Simplify lambda2 into lambda2 2.778 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 2.778 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 2.778 * [backup-simplify]: Simplify (sin (- lambda2)) into (sin (- lambda2)) 2.778 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 2.778 * [backup-simplify]: Simplify (cos (- lambda2)) into (cos (- lambda2)) 2.778 * [backup-simplify]: Simplify (* (sin (- lambda2)) 1) into (sin (- lambda2)) 2.778 * [backup-simplify]: Simplify (* (cos (- lambda2)) 0) into 0 2.778 * [backup-simplify]: Simplify (+ (sin (- lambda2)) 0) into (sin (- lambda2)) 2.778 * [backup-simplify]: Simplify (* 0 (sin (- lambda2))) into 0 2.778 * [taylor]: Taking taylor expansion of 0 in lambda2 2.778 * [backup-simplify]: Simplify 0 into 0 2.778 * [backup-simplify]: Simplify 0 into 0 2.778 * [backup-simplify]: Simplify (+ 0) into 0 2.779 * [backup-simplify]: Simplify (+ (* (sin (- lambda2)) 0) (* 0 1)) into 0 2.779 * [backup-simplify]: Simplify (- 0) into 0 2.779 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.779 * [backup-simplify]: Simplify (+ (* (cos (- lambda2)) 0) (* 0 0)) into 0 2.780 * [backup-simplify]: Simplify (+ 0 0) into 0 2.780 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 2.780 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (- lambda2)))) into (sin (- lambda2)) 2.780 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 2.780 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 2.780 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.780 * [backup-simplify]: Simplify 0 into 0 2.780 * [backup-simplify]: Simplify 1 into 1 2.781 * [backup-simplify]: Simplify (- 0) into 0 2.781 * [backup-simplify]: Simplify (- 1) into -1 2.781 * [backup-simplify]: Simplify 0 into 0 2.781 * [backup-simplify]: Simplify 0 into 0 2.781 * [backup-simplify]: Simplify (- 0) into 0 2.782 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.782 * [backup-simplify]: Simplify (+ (* (sin (- lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 2.782 * [backup-simplify]: Simplify (- 0) into 0 2.783 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.783 * [backup-simplify]: Simplify (+ (* (cos (- lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 2.783 * [backup-simplify]: Simplify (+ 0 0) into 0 2.784 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.784 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin (- lambda2))))) into 0 2.784 * [taylor]: Taking taylor expansion of 0 in lambda2 2.784 * [backup-simplify]: Simplify 0 into 0 2.784 * [backup-simplify]: Simplify 0 into 0 2.784 * [backup-simplify]: Simplify (- 1) into -1 2.785 * [backup-simplify]: Simplify (+ (* 1 (/ (pow -1 1) 1))) into -1 2.785 * [backup-simplify]: Simplify -1 into -1 2.785 * [backup-simplify]: Simplify 0 into 0 2.785 * [backup-simplify]: Simplify (- 0) into 0 2.785 * [backup-simplify]: Simplify (- 0) into 0 2.786 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.786 * [backup-simplify]: Simplify (+ (* (sin (- lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.787 * [backup-simplify]: Simplify (- 0) into 0 2.787 * [backup-simplify]: Simplify (- 0) into 0 2.788 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.788 * [backup-simplify]: Simplify (+ (* (cos (- lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.788 * [backup-simplify]: Simplify (+ 0 0) into 0 2.789 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 2.790 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin (- lambda2)))))) into (- (* 1/6 (sin (- lambda2)))) 2.790 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin (- lambda2)))) in lambda2 2.790 * [taylor]: Taking taylor expansion of (* 1/6 (sin (- lambda2))) in lambda2 2.790 * [taylor]: Taking taylor expansion of 1/6 in lambda2 2.790 * [backup-simplify]: Simplify 1/6 into 1/6 2.790 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 2.790 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 2.790 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.790 * [backup-simplify]: Simplify 0 into 0 2.790 * [backup-simplify]: Simplify 1 into 1 2.790 * [backup-simplify]: Simplify (- 0) into 0 2.790 * [backup-simplify]: Simplify (- 1) into -1 2.791 * [backup-simplify]: Simplify (* 1/6 0) into 0 2.791 * [backup-simplify]: Simplify (- 0) into 0 2.791 * [backup-simplify]: Simplify 0 into 0 2.791 * [backup-simplify]: Simplify 0 into 0 2.791 * [backup-simplify]: Simplify (- 0) into 0 2.791 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.792 * [backup-simplify]: Simplify 0 into 0 2.792 * [backup-simplify]: Simplify 0 into 0 2.792 * [backup-simplify]: Simplify (- 0) into 0 2.792 * [backup-simplify]: Simplify (- 0) into 0 2.792 * [backup-simplify]: Simplify (- 0) into 0 2.792 * [backup-simplify]: Simplify (- 0) into 0 2.794 * [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 2.794 * [backup-simplify]: Simplify (+ (* (sin (- lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.794 * [backup-simplify]: Simplify (- 0) into 0 2.795 * [backup-simplify]: Simplify (- 0) into 0 2.795 * [backup-simplify]: Simplify (- 0) into 0 2.796 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 2.796 * [backup-simplify]: Simplify (+ (* (cos (- lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 2.796 * [backup-simplify]: Simplify (+ 0 0) into 0 2.797 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 2.798 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin (- lambda2))))))) into 0 2.798 * [taylor]: Taking taylor expansion of 0 in lambda2 2.798 * [backup-simplify]: Simplify 0 into 0 2.798 * [backup-simplify]: Simplify 0 into 0 2.798 * [backup-simplify]: Simplify (* -1 (* lambda2 lambda1)) into (* -1 (* lambda2 lambda1)) 2.798 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) into (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) 2.798 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in (lambda1 lambda2) around 0 2.798 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda2 2.798 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 2.798 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 2.798 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.798 * [backup-simplify]: Simplify lambda1 into lambda1 2.798 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 2.798 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 2.798 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 2.798 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda2 2.798 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda2 2.798 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 2.798 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.798 * [backup-simplify]: Simplify 0 into 0 2.799 * [backup-simplify]: Simplify 1 into 1 2.799 * [backup-simplify]: Simplify (/ 1 1) into 1 2.799 * [backup-simplify]: Simplify (- 1) into -1 2.799 * [backup-simplify]: Simplify (sin (- (/ 1 lambda2))) into (sin (- (/ 1 lambda2))) 2.799 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda1 2.799 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 2.799 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 2.799 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.799 * [backup-simplify]: Simplify 0 into 0 2.799 * [backup-simplify]: Simplify 1 into 1 2.799 * [backup-simplify]: Simplify (/ 1 1) into 1 2.799 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 2.799 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda1 2.799 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda1 2.799 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 2.799 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.799 * [backup-simplify]: Simplify lambda2 into lambda2 2.799 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 2.800 * [backup-simplify]: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) 2.800 * [backup-simplify]: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) 2.800 * [backup-simplify]: Simplify (sin (- (/ 1 lambda2))) into (sin (- (/ 1 lambda2))) 2.800 * [backup-simplify]: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) 2.800 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2))) into (cos (- (/ 1 lambda2))) 2.800 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda1 2.800 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 2.800 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 2.800 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.800 * [backup-simplify]: Simplify 0 into 0 2.800 * [backup-simplify]: Simplify 1 into 1 2.800 * [backup-simplify]: Simplify (/ 1 1) into 1 2.800 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 2.800 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda1 2.800 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda1 2.800 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 2.800 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.800 * [backup-simplify]: Simplify lambda2 into lambda2 2.800 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 2.800 * [backup-simplify]: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) 2.800 * [backup-simplify]: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) 2.800 * [backup-simplify]: Simplify (sin (- (/ 1 lambda2))) into (sin (- (/ 1 lambda2))) 2.800 * [backup-simplify]: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) 2.800 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2))) into (cos (- (/ 1 lambda2))) 2.801 * [backup-simplify]: Simplify (* (sin (- (/ 1 lambda2))) 1) into (sin (- (/ 1 lambda2))) 2.801 * [backup-simplify]: Simplify (* (cos (- (/ 1 lambda2))) 0) into 0 2.801 * [backup-simplify]: Simplify (+ (sin (- (/ 1 lambda2))) 0) into (sin (- (/ 1 lambda2))) 2.801 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) into (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) 2.801 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda2 2.801 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 2.801 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 2.801 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.801 * [backup-simplify]: Simplify lambda1 into lambda1 2.801 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 2.801 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 2.801 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 2.801 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda2 2.801 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda2 2.801 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 2.801 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.801 * [backup-simplify]: Simplify 0 into 0 2.801 * [backup-simplify]: Simplify 1 into 1 2.801 * [backup-simplify]: Simplify (/ 1 1) into 1 2.802 * [backup-simplify]: Simplify (- 1) into -1 2.802 * [backup-simplify]: Simplify (sin (- (/ 1 lambda2))) into (sin (- (/ 1 lambda2))) 2.802 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) 1) into (sin (/ 1 lambda1)) 2.802 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) 0) into 0 2.802 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda1)) 0) into (sin (/ 1 lambda1)) 2.802 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) into (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) 2.802 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) into (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) 2.802 * [backup-simplify]: Simplify (+ 0) into 0 2.803 * [backup-simplify]: Simplify (+ (* (sin (- (/ 1 lambda2))) 0) (* 0 1)) into 0 2.803 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 2.803 * [backup-simplify]: Simplify (- 0) into 0 2.803 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.804 * [backup-simplify]: Simplify (+ (* (cos (- (/ 1 lambda2))) 0) (* 0 0)) into 0 2.804 * [backup-simplify]: Simplify (+ 0 0) into 0 2.804 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 (sin (- (/ 1 lambda2))))) into 0 2.804 * [taylor]: Taking taylor expansion of 0 in lambda2 2.804 * [backup-simplify]: Simplify 0 into 0 2.804 * [backup-simplify]: Simplify 0 into 0 2.804 * [backup-simplify]: Simplify (+ 0) into 0 2.805 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 1)) into 0 2.805 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0 2.805 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.805 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 0)) into 0 2.806 * [backup-simplify]: Simplify (+ 0 0) into 0 2.806 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 (sin (- (/ 1 lambda2))))) into 0 2.806 * [backup-simplify]: Simplify 0 into 0 2.806 * [backup-simplify]: Simplify (- 0) into 0 2.806 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.809 * [backup-simplify]: Simplify (+ (* (sin (- (/ 1 lambda2))) 0) (+ (* 0 0) (* 0 1))) into 0 2.809 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 2.810 * [backup-simplify]: Simplify (- 0) into 0 2.810 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.811 * [backup-simplify]: Simplify (+ (* (cos (- (/ 1 lambda2))) 0) (+ (* 0 0) (* 0 0))) into 0 2.811 * [backup-simplify]: Simplify (+ 0 0) into 0 2.811 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (- (/ 1 lambda2)))))) into 0 2.811 * [taylor]: Taking taylor expansion of 0 in lambda2 2.811 * [backup-simplify]: Simplify 0 into 0 2.811 * [backup-simplify]: Simplify 0 into 0 2.811 * [backup-simplify]: Simplify 0 into 0 2.812 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.812 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 2.812 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 2.813 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.813 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 2.813 * [backup-simplify]: Simplify (+ 0 0) into 0 2.814 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (- (/ 1 lambda2)))))) into 0 2.814 * [backup-simplify]: Simplify 0 into 0 2.814 * [backup-simplify]: Simplify (- 0) into 0 2.814 * [backup-simplify]: Simplify (- 0) into 0 2.815 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.815 * [backup-simplify]: Simplify (+ (* (sin (- (/ 1 lambda2))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.815 * [backup-simplify]: Simplify (- 0) into 0 2.815 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 2.816 * [backup-simplify]: Simplify (- 0) into 0 2.817 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.817 * [backup-simplify]: Simplify (+ (* (cos (- (/ 1 lambda2))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.817 * [backup-simplify]: Simplify (+ 0 0) into 0 2.818 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (- (/ 1 lambda2))))))) into 0 2.818 * [taylor]: Taking taylor expansion of 0 in lambda2 2.818 * [backup-simplify]: Simplify 0 into 0 2.818 * [backup-simplify]: Simplify 0 into 0 2.818 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 lambda1))) (sin (- (/ 1 (/ 1 lambda2))))) into (* (sin lambda1) (sin (- lambda2))) 2.818 * [backup-simplify]: Simplify (* (sin (/ 1 (- lambda1))) (sin (- (/ 1 (- lambda2))))) into (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) 2.818 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in (lambda1 lambda2) around 0 2.818 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda2 2.818 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 2.818 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 2.818 * [taylor]: Taking taylor expansion of -1 in lambda2 2.818 * [backup-simplify]: Simplify -1 into -1 2.818 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.818 * [backup-simplify]: Simplify lambda1 into lambda1 2.818 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 2.818 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 2.818 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 2.819 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 2.819 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 2.819 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.819 * [backup-simplify]: Simplify 0 into 0 2.819 * [backup-simplify]: Simplify 1 into 1 2.819 * [backup-simplify]: Simplify (/ 1 1) into 1 2.819 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 2.819 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda1 2.819 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 2.819 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 2.819 * [taylor]: Taking taylor expansion of -1 in lambda1 2.819 * [backup-simplify]: Simplify -1 into -1 2.819 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.819 * [backup-simplify]: Simplify 0 into 0 2.819 * [backup-simplify]: Simplify 1 into 1 2.819 * [backup-simplify]: Simplify (/ -1 1) into -1 2.819 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 2.819 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 2.819 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 2.819 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.819 * [backup-simplify]: Simplify lambda2 into lambda2 2.819 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 2.819 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 2.819 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 2.819 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda1 2.820 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 2.820 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 2.820 * [taylor]: Taking taylor expansion of -1 in lambda1 2.820 * [backup-simplify]: Simplify -1 into -1 2.820 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.820 * [backup-simplify]: Simplify 0 into 0 2.820 * [backup-simplify]: Simplify 1 into 1 2.820 * [backup-simplify]: Simplify (/ -1 1) into -1 2.820 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 2.820 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 2.820 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 2.820 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.820 * [backup-simplify]: Simplify lambda2 into lambda2 2.820 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 2.820 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 2.820 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 2.820 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) 1) into (sin (/ 1 lambda2)) 2.820 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) 0) into 0 2.820 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda2)) 0) into (sin (/ 1 lambda2)) 2.820 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) 2.820 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda2 2.820 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 2.820 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 2.820 * [taylor]: Taking taylor expansion of -1 in lambda2 2.820 * [backup-simplify]: Simplify -1 into -1 2.821 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.821 * [backup-simplify]: Simplify lambda1 into lambda1 2.821 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 2.821 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 2.821 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 2.821 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 2.821 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 2.821 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.821 * [backup-simplify]: Simplify 0 into 0 2.821 * [backup-simplify]: Simplify 1 into 1 2.821 * [backup-simplify]: Simplify (/ 1 1) into 1 2.821 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 2.821 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) 1) into (sin (/ -1 lambda1)) 2.821 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) 0) into 0 2.821 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda1)) 0) into (sin (/ -1 lambda1)) 2.821 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) 2.821 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) 2.822 * [backup-simplify]: Simplify (+ 0) into 0 2.822 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 1)) into 0 2.822 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 2.822 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.823 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 0)) into 0 2.823 * [backup-simplify]: Simplify (+ 0 0) into 0 2.823 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ 1 lambda2)))) into 0 2.823 * [taylor]: Taking taylor expansion of 0 in lambda2 2.823 * [backup-simplify]: Simplify 0 into 0 2.823 * [backup-simplify]: Simplify 0 into 0 2.823 * [backup-simplify]: Simplify (+ 0) into 0 2.824 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 1)) into 0 2.824 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)))) into 0 2.824 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.824 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 0)) into 0 2.825 * [backup-simplify]: Simplify (+ 0 0) into 0 2.825 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ 1 lambda2)))) into 0 2.825 * [backup-simplify]: Simplify 0 into 0 2.825 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.826 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 2.826 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 2.826 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.827 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 2.827 * [backup-simplify]: Simplify (+ 0 0) into 0 2.827 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda2))))) into 0 2.827 * [taylor]: Taking taylor expansion of 0 in lambda2 2.827 * [backup-simplify]: Simplify 0 into 0 2.827 * [backup-simplify]: Simplify 0 into 0 2.827 * [backup-simplify]: Simplify 0 into 0 2.828 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.828 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 2.828 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 2.829 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.829 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 2.829 * [backup-simplify]: Simplify (+ 0 0) into 0 2.830 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda2))))) into 0 2.830 * [backup-simplify]: Simplify 0 into 0 2.830 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.831 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.831 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 2.832 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.832 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.832 * [backup-simplify]: Simplify (+ 0 0) into 0 2.833 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda2)))))) into 0 2.833 * [taylor]: Taking taylor expansion of 0 in lambda2 2.833 * [backup-simplify]: Simplify 0 into 0 2.833 * [backup-simplify]: Simplify 0 into 0 2.833 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- lambda1)))) (sin (/ 1 (/ 1 (- lambda2))))) into (* (sin lambda1) (sin (* -1 lambda2))) 2.833 * * * [progress]: simplifying candidates 2.834 * [simplify]: Simplifying: (expm1 (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (log1p (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (/ PI 2) (asin (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (log (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (exp (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (* (cbrt (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (cbrt (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (cbrt (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (* (* (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (expm1 (* (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (log1p (* (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (* (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) (+ (log (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (log R)) (log (* (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (exp (* (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (* (* (* (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (* (* R R) R)) (* (cbrt (* (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (cbrt (* (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R))) (cbrt (* (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (* (* (* (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) (* (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (* (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (sqrt (* (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (sqrt (* (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (* (sqrt (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt R)) (* (sqrt (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt R)) (* (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (* (cbrt R) (cbrt R))) (* (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (sqrt R)) (* (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) 1) (* (cbrt (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) R) (* (sqrt (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) R) (* (acos (+ (log1p (expm1 (* (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) (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 (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) (* (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) (* (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) (* (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) R) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (* -1 (* lambda2 lambda1)) (* (sin lambda1) (sin (- lambda2))) (* (sin lambda1) (sin (* -1 lambda2))) 2.835 * [simplify]: Sending expressions to egg_math: (expm1 (acos (+ (log1p (expm1 (* (sin h0) (sin h1)))) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3)))))))) (log1p (acos (+ (log1p (expm1 (* (sin h0) (sin h1)))) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3)))))))) (/ h4 2) (asin (+ (log1p (expm1 (* (sin h0) (sin h1)))) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3))))))) (log (acos (+ (log1p (expm1 (* (sin h0) (sin h1)))) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3)))))))) (exp (acos (+ (log1p (expm1 (* (sin h0) (sin h1)))) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3)))))))) (* (cbrt (acos (+ (log1p (expm1 (* (sin h0) (sin h1)))) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3)))))))) (cbrt (acos (+ (log1p (expm1 (* (sin h0) (sin h1)))) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3))))))))) (cbrt (acos (+ (log1p (expm1 (* (sin h0) (sin h1)))) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3)))))))) (* (* (acos (+ (log1p (expm1 (* (sin h0) (sin h1)))) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3))))))) (acos (+ (log1p (expm1 (* (sin h0) (sin h1)))) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3)))))))) (acos (+ (log1p (expm1 (* (sin h0) (sin h1)))) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3)))))))) (sqrt (acos (+ (log1p (expm1 (* (sin h0) (sin h1)))) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3)))))))) (sqrt (acos (+ (log1p (expm1 (* (sin h0) (sin h1)))) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3)))))))) (expm1 (* (acos (+ (log1p (expm1 (* (sin h0) (sin h1)))) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3))))))) h5)) (log1p (* (acos (+ (log1p (expm1 (* (sin h0) (sin h1)))) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3))))))) h5)) (* (acos (+ (log1p (expm1 (* (sin h0) (sin h1)))) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3))))))) h5) (+ (log (acos (+ (log1p (expm1 (* (sin h0) (sin h1)))) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3)))))))) (log h5)) (log (* (acos (+ (log1p (expm1 (* (sin h0) (sin h1)))) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3))))))) h5)) (exp (* (acos (+ (log1p (expm1 (* (sin h0) (sin h1)))) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3))))))) h5)) (* (* (* (acos (+ (log1p (expm1 (* (sin h0) (sin h1)))) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3))))))) (acos (+ (log1p (expm1 (* (sin h0) (sin h1)))) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3)))))))) (acos (+ (log1p (expm1 (* (sin h0) (sin h1)))) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3)))))))) (* (* h5 h5) h5)) (* (cbrt (* (acos (+ (log1p (expm1 (* (sin h0) (sin h1)))) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3))))))) h5)) (cbrt (* (acos (+ (log1p (expm1 (* (sin h0) (sin h1)))) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3))))))) h5))) (cbrt (* (acos (+ (log1p (expm1 (* (sin h0) (sin h1)))) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3))))))) h5)) (* (* (* (acos (+ (log1p (expm1 (* (sin h0) (sin h1)))) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3))))))) h5) (* (acos (+ (log1p (expm1 (* (sin h0) (sin h1)))) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3))))))) h5)) (* (acos (+ (log1p (expm1 (* (sin h0) (sin h1)))) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3))))))) h5)) (sqrt (* (acos (+ (log1p (expm1 (* (sin h0) (sin h1)))) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3))))))) h5)) (sqrt (* (acos (+ (log1p (expm1 (* (sin h0) (sin h1)))) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3))))))) h5)) (* (sqrt (acos (+ (log1p (expm1 (* (sin h0) (sin h1)))) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3)))))))) (sqrt h5)) (* (sqrt (acos (+ (log1p (expm1 (* (sin h0) (sin h1)))) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3)))))))) (sqrt h5)) (* (acos (+ (log1p (expm1 (* (sin h0) (sin h1)))) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3))))))) (* (cbrt h5) (cbrt h5))) (* (acos (+ (log1p (expm1 (* (sin h0) (sin h1)))) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3))))))) (sqrt h5)) (* (acos (+ (log1p (expm1 (* (sin h0) (sin h1)))) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3))))))) 1) (* (cbrt (acos (+ (log1p (expm1 (* (sin h0) (sin h1)))) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3)))))))) h5) (* (sqrt (acos (+ (log1p (expm1 (* (sin h0) (sin h1)))) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3)))))))) h5) (* (acos (+ (log1p (expm1 (* (sin h0) (sin h1)))) (* (* (cos h0) (cos h1)) (- (* (cos h2) (cos h3)) (* (sin h2) (sin (- h3))))))) h5) (expm1 (* (sin h0) (sin h1))) (log1p (* (sin h0) (sin h1))) (- (cos (- h0 h1)) (cos (+ h0 h1))) (* (sin h0) (sin h1)) (+ (log (sin h0)) (log (sin h1))) (log (* (sin h0) (sin h1))) (exp (* (sin h0) (sin h1))) (* (* (* (sin h0) (sin h0)) (sin h0)) (* (* (sin h1) (sin h1)) (sin h1))) (* (cbrt (* (sin h0) (sin h1))) (cbrt (* (sin h0) (sin h1)))) (cbrt (* (sin h0) (sin h1))) (* (* (* (sin h0) (sin h1)) (* (sin h0) (sin h1))) (* (sin h0) (sin h1))) (sqrt (* (sin h0) (sin h1))) (sqrt (* (sin h0) (sin h1))) (* (sqrt (sin h0)) (sqrt (sin h1))) (* (sqrt (sin h0)) (sqrt (sin h1))) (* (sin h0) (* (cbrt (sin h1)) (cbrt (sin h1)))) (* (sin h0) (sqrt (sin h1))) (* (sin h0) 1) (* (cbrt (sin h0)) (sin h1)) (* (sqrt (sin h0)) (sin h1)) (* (sin h0) (sin h1)) (expm1 (* (sin h2) (sin (- h3)))) (log1p (* (sin h2) (sin (- h3)))) (- (cos (- h2 (- h3))) (cos (+ h2 (- h3)))) (* (sin h2) (sin (- h3))) (+ (log (sin h2)) (log (sin (- h3)))) (log (* (sin h2) (sin (- h3)))) (exp (* (sin h2) (sin (- h3)))) (* (* (* (sin h2) (sin h2)) (sin h2)) (* (* (sin (- h3)) (sin (- h3))) (sin (- h3)))) (* (cbrt (* (sin h2) (sin (- h3)))) (cbrt (* (sin h2) (sin (- h3))))) (cbrt (* (sin h2) (sin (- h3)))) (* (* (* (sin h2) (sin (- h3))) (* (sin h2) (sin (- h3)))) (* (sin h2) (sin (- h3)))) (sqrt (* (sin h2) (sin (- h3)))) (sqrt (* (sin h2) (sin (- h3)))) (* (sqrt (sin h2)) (sqrt (sin (- h3)))) (* (sqrt (sin h2)) (sqrt (sin (- h3)))) (* (sin h2) (sin h3)) (* (sin h2) (* (cbrt (sin (- h3))) (cbrt (sin (- h3))))) (* (sin h2) (sqrt (sin (- h3)))) (* (sin h2) 1) (* (cbrt (sin h2)) (sin (- h3))) (* (sqrt (sin h2)) (sin (- h3))) (* (sin h2) (sin (- h3))) (acos (- (+ (log1p (expm1 (* (sin h0) (sin h1)))) (* (cos h2) (* (cos h0) (* (cos h1) (cos h3))))) (* (sin h2) (* (cos h0) (* (cos h1) (sin (- h3))))))) (acos (- (+ (log1p (expm1 (* (sin h0) (sin h1)))) (* (cos h2) (* (cos h0) (* (cos h1) (cos h3))))) (* (sin h2) (* (cos h0) (* (cos h1) (sin (- h3))))))) (acos (- (+ (log1p (expm1 (* (sin h0) (sin h1)))) (* (cos h2) (* (cos h0) (* (cos h1) (cos h3))))) (* (sin h2) (* (cos h0) (* (cos h1) (sin (* -1 h3))))))) (* (acos (- (+ (log1p (expm1 (* (sin h0) (sin h1)))) (* (cos h2) (* (cos h0) (* (cos h1) (cos h3))))) (* (sin h2) (* (cos h0) (* (cos h1) (sin (- h3))))))) h5) (* (acos (- (+ (log1p (expm1 (* (sin h0) (sin h1)))) (* (cos h2) (* (cos h0) (* (cos h1) (cos h3))))) (* (sin h2) (* (cos h0) (* (cos h1) (sin (- h3))))))) h5) (* (acos (- (+ (log1p (expm1 (* (sin h0) (sin h1)))) (* (cos h2) (* (cos h0) (* (cos h1) (cos h3))))) (* (sin h2) (* (cos h0) (* (cos h1) (sin (* -1 h3))))))) h5) (* h1 h0) (* (sin h0) (sin h1)) (* (sin h0) (sin h1)) (* -1 (* h3 h2)) (* (sin h2) (sin (- h3))) (* (sin h2) (sin (* -1 h3))) 2.840 * * [simplify]: iteration 0 : 291 enodes (cost 1180 ) 2.845 * * [simplify]: iteration 1 : 953 enodes (cost 1027 ) 2.860 * * [simplify]: iteration 2 : 2628 enodes (cost 1003 ) 2.893 * * [simplify]: iteration 3 : 5001 enodes (cost 1003 ) 2.897 * * * [progress]: adding candidates to table 3.339 * [progress]: [Phase 3 of 3] Extracting. 3.339 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # # # # #) 3.364 * * * [regime-changes]: Trying 7 branch expressions: ((- lambda1 lambda2) (cos (- lambda1 lambda2)) phi2 phi1 lambda2 lambda1 R) 3.364 * * * * [regimes]: Trying to branch on (- lambda1 lambda2) from (# # # # # # # # # # # # # # # # # #) 3.488 * * * * [regimes]: Trying to branch on (cos (- lambda1 lambda2)) from (# # # # # # # # # # # # # # # # # #) 3.618 * * * * [regimes]: Trying to branch on phi2 from (# # # # # # # # # # # # # # # # # #) 3.742 * * * * [regimes]: Trying to branch on phi1 from (# # # # # # # # # # # # # # # # # #) 3.869 * * * * [regimes]: Trying to branch on lambda2 from (# # # # # # # # # # # # # # # # # #) 3.997 * * * * [regimes]: Trying to branch on lambda1 from (# # # # # # # # # # # # # # # # # #) 4.125 * * * * [regimes]: Trying to branch on R from (# # # # # # # # # # # # # # # # # #) 4.250 * * * [regime]: Found split indices: #