0.768 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 1.121 * * * [progress]: [2/2] Setting up program. 1.129 * [progress]: [Phase 2 of 3] Improving. 1.130 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 1.131 * [simplify]: Simplifying: (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 1.132 * * [simplify]: iteration 0: 17 enodes 1.138 * * [simplify]: iteration 1: 26 enodes 1.142 * * [simplify]: iteration 2: 33 enodes 1.148 * * [simplify]: iteration 3: 34 enodes 1.152 * * [simplify]: iteration complete: 34 enodes 1.152 * * [simplify]: Extracting #0: cost 1 inf + 0 1.152 * * [simplify]: Extracting #1: cost 3 inf + 0 1.153 * * [simplify]: Extracting #2: cost 3 inf + 1 1.153 * * [simplify]: Extracting #3: cost 5 inf + 1 1.153 * * [simplify]: Extracting #4: cost 13 inf + 1 1.153 * * [simplify]: Extracting #5: cost 16 inf + 1 1.153 * * [simplify]: Extracting #6: cost 15 inf + 125 1.153 * * [simplify]: Extracting #7: cost 10 inf + 411 1.153 * * [simplify]: Extracting #8: cost 5 inf + 961 1.153 * * [simplify]: Extracting #9: cost 2 inf + 1972 1.154 * * [simplify]: Extracting #10: cost 0 inf + 3201 1.154 * [simplify]: Simplified to: (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) 1.156 * * [progress]: iteration 1 / 4 1.156 * * * [progress]: picking best candidate 1.161 * * * * [pick]: Picked # 1.161 * * * [progress]: localizing error 1.244 * * * [progress]: generating rewritten candidates 1.244 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2) 1.262 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.264 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.275 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 1.300 * * * [progress]: generating series expansions 1.300 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2) 1.304 * [backup-simplify]: Simplify (cos (- lambda1 lambda2)) into (cos (- lambda1 lambda2)) 1.305 * [approximate]: Taking taylor expansion of (cos (- lambda1 lambda2)) in (lambda1 lambda2) around 0 1.305 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2 1.305 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2 1.305 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.305 * [backup-simplify]: Simplify lambda1 into lambda1 1.305 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.305 * [backup-simplify]: Simplify 0 into 0 1.305 * [backup-simplify]: Simplify 1 into 1 1.306 * [backup-simplify]: Simplify (- 0) into 0 1.306 * [backup-simplify]: Simplify (+ lambda1 0) into lambda1 1.306 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 1.306 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 1.306 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 1.306 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 1.306 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.307 * [backup-simplify]: Simplify 0 into 0 1.307 * [backup-simplify]: Simplify 1 into 1 1.307 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.307 * [backup-simplify]: Simplify lambda2 into lambda2 1.307 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 1.307 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2) 1.307 * [backup-simplify]: Simplify (cos (- lambda2)) into (cos (- lambda2)) 1.307 * [backup-simplify]: Simplify (sin (- lambda2)) into (sin (- lambda2)) 1.307 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 1.307 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 1.307 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.307 * [backup-simplify]: Simplify 0 into 0 1.307 * [backup-simplify]: Simplify 1 into 1 1.307 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.307 * [backup-simplify]: Simplify lambda2 into lambda2 1.307 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 1.307 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2) 1.307 * [backup-simplify]: Simplify (cos (- lambda2)) into (cos (- lambda2)) 1.307 * [backup-simplify]: Simplify (sin (- lambda2)) into (sin (- lambda2)) 1.309 * [backup-simplify]: Simplify (* (cos (- lambda2)) 1) into (cos (- lambda2)) 1.309 * [backup-simplify]: Simplify (* (sin (- lambda2)) 0) into 0 1.309 * [backup-simplify]: Simplify (- 0) into 0 1.309 * [backup-simplify]: Simplify (+ (cos (- lambda2)) 0) into (cos (- lambda2)) 1.309 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 1.309 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 1.309 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.309 * [backup-simplify]: Simplify 0 into 0 1.309 * [backup-simplify]: Simplify 1 into 1 1.310 * [backup-simplify]: Simplify (- 0) into 0 1.310 * [backup-simplify]: Simplify (- 1) into -1 1.310 * [backup-simplify]: Simplify 1 into 1 1.311 * [backup-simplify]: Simplify (+ 0) into 0 1.311 * [backup-simplify]: Simplify (+ (* (cos (- lambda2)) 0) (* 0 1)) into 0 1.312 * [backup-simplify]: Simplify (- 0) into 0 1.312 * [backup-simplify]: Simplify (+ 1 0) into 1 1.313 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.313 * [backup-simplify]: Simplify (+ (* (sin (- lambda2)) 1) (* 0 0)) into (sin (- lambda2)) 1.313 * [backup-simplify]: Simplify (- (sin (- lambda2))) into (- (sin (- lambda2))) 1.313 * [backup-simplify]: Simplify (+ 0 (- (sin (- lambda2)))) into (- (sin (- lambda2))) 1.313 * [taylor]: Taking taylor expansion of (- (sin (- lambda2))) in lambda2 1.313 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 1.313 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 1.313 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.313 * [backup-simplify]: Simplify 0 into 0 1.313 * [backup-simplify]: Simplify 1 into 1 1.314 * [backup-simplify]: Simplify (- 0) into 0 1.314 * [backup-simplify]: Simplify (- 1) into -1 1.314 * [backup-simplify]: Simplify (- 0) into 0 1.314 * [backup-simplify]: Simplify 0 into 0 1.314 * [backup-simplify]: Simplify (+ 0) into 0 1.314 * [backup-simplify]: Simplify 0 into 0 1.315 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.316 * [backup-simplify]: Simplify (+ (* (cos (- lambda2)) -1/2) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (cos (- lambda2)))) 1.316 * [backup-simplify]: Simplify (- 0) into 0 1.316 * [backup-simplify]: Simplify (+ 0 0) into 0 1.317 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.317 * [backup-simplify]: Simplify (+ (* (sin (- lambda2)) 0) (+ (* 0 1) (* 0 0))) into 0 1.317 * [backup-simplify]: Simplify (- 0) into 0 1.318 * [backup-simplify]: Simplify (+ (- (* 1/2 (cos (- lambda2)))) 0) into (- (* 1/2 (cos (- lambda2)))) 1.318 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda2)))) in lambda2 1.318 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda2))) in lambda2 1.318 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.318 * [backup-simplify]: Simplify 1/2 into 1/2 1.318 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 1.318 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 1.318 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.318 * [backup-simplify]: Simplify 0 into 0 1.318 * [backup-simplify]: Simplify 1 into 1 1.318 * [backup-simplify]: Simplify (- 0) into 0 1.318 * [backup-simplify]: Simplify (- 1) into -1 1.319 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.319 * [backup-simplify]: Simplify (- 1/2) into -1/2 1.319 * [backup-simplify]: Simplify -1/2 into -1/2 1.319 * [backup-simplify]: Simplify (- 1) into -1 1.320 * [backup-simplify]: Simplify (+ (* 1 (/ (pow -1 1) 1))) into -1 1.320 * [backup-simplify]: Simplify (- -1) into 1 1.320 * [backup-simplify]: Simplify 1 into 1 1.321 * [backup-simplify]: Simplify (+ (* 1 (* lambda2 lambda1)) (+ (* -1/2 (pow (* 1 lambda1) 2)) 1)) into (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2))) 1.321 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1.321 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in (lambda1 lambda2) around 0 1.321 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 1.321 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 1.321 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.321 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.321 * [backup-simplify]: Simplify lambda1 into lambda1 1.321 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.321 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.321 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.321 * [backup-simplify]: Simplify 0 into 0 1.321 * [backup-simplify]: Simplify 1 into 1 1.321 * [backup-simplify]: Simplify (/ 1 1) into 1 1.322 * [backup-simplify]: Simplify (- 1) into -1 1.322 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.322 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1.322 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 1.322 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 1.323 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.323 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.323 * [backup-simplify]: Simplify 0 into 0 1.323 * [backup-simplify]: Simplify 1 into 1 1.323 * [backup-simplify]: Simplify (/ 1 1) into 1 1.323 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.323 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.323 * [backup-simplify]: Simplify lambda2 into lambda2 1.323 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.323 * [backup-simplify]: Simplify (+ 1 0) into 1 1.323 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1.323 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 1.323 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 1.323 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.323 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.323 * [backup-simplify]: Simplify 0 into 0 1.323 * [backup-simplify]: Simplify 1 into 1 1.324 * [backup-simplify]: Simplify (/ 1 1) into 1 1.324 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.324 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.324 * [backup-simplify]: Simplify lambda2 into lambda2 1.324 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.324 * [backup-simplify]: Simplify (+ 1 0) into 1 1.324 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1.324 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 1.324 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 1.324 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.324 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.324 * [backup-simplify]: Simplify lambda1 into lambda1 1.324 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.324 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.324 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.324 * [backup-simplify]: Simplify 0 into 0 1.324 * [backup-simplify]: Simplify 1 into 1 1.325 * [backup-simplify]: Simplify (/ 1 1) into 1 1.325 * [backup-simplify]: Simplify (- 1) into -1 1.325 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.325 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1.325 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1.325 * [taylor]: Taking taylor expansion of 0 in lambda2 1.325 * [backup-simplify]: Simplify 0 into 0 1.325 * [backup-simplify]: Simplify 0 into 0 1.325 * [backup-simplify]: Simplify 0 into 0 1.325 * [taylor]: Taking taylor expansion of 0 in lambda2 1.325 * [backup-simplify]: Simplify 0 into 0 1.325 * [backup-simplify]: Simplify 0 into 0 1.325 * [backup-simplify]: Simplify 0 into 0 1.325 * [backup-simplify]: Simplify 0 into 0 1.326 * [taylor]: Taking taylor expansion of 0 in lambda2 1.326 * [backup-simplify]: Simplify 0 into 0 1.326 * [backup-simplify]: Simplify 0 into 0 1.326 * [backup-simplify]: Simplify (cos (- (/ 1 (/ 1 lambda1)) (/ 1 (/ 1 lambda2)))) into (cos (- lambda1 lambda2)) 1.326 * [backup-simplify]: Simplify (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1.326 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in (lambda1 lambda2) around 0 1.326 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 1.326 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 1.326 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.326 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.326 * [backup-simplify]: Simplify 0 into 0 1.326 * [backup-simplify]: Simplify 1 into 1 1.326 * [backup-simplify]: Simplify (/ 1 1) into 1 1.326 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.326 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.326 * [backup-simplify]: Simplify lambda1 into lambda1 1.326 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.326 * [backup-simplify]: Simplify (+ 1 0) into 1 1.327 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1.327 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 1.327 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 1.327 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.327 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.327 * [backup-simplify]: Simplify lambda2 into lambda2 1.327 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.327 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.327 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.327 * [backup-simplify]: Simplify 0 into 0 1.327 * [backup-simplify]: Simplify 1 into 1 1.327 * [backup-simplify]: Simplify (/ 1 1) into 1 1.327 * [backup-simplify]: Simplify (- 1) into -1 1.328 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.328 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1.328 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 1.328 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 1.328 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.328 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.328 * [backup-simplify]: Simplify lambda2 into lambda2 1.328 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.328 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.328 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.328 * [backup-simplify]: Simplify 0 into 0 1.328 * [backup-simplify]: Simplify 1 into 1 1.328 * [backup-simplify]: Simplify (/ 1 1) into 1 1.328 * [backup-simplify]: Simplify (- 1) into -1 1.329 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.329 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1.329 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 1.329 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 1.329 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.329 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.329 * [backup-simplify]: Simplify 0 into 0 1.329 * [backup-simplify]: Simplify 1 into 1 1.329 * [backup-simplify]: Simplify (/ 1 1) into 1 1.329 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.329 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.329 * [backup-simplify]: Simplify lambda1 into lambda1 1.329 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.330 * [backup-simplify]: Simplify (+ 1 0) into 1 1.330 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1.330 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1.330 * [taylor]: Taking taylor expansion of 0 in lambda2 1.330 * [backup-simplify]: Simplify 0 into 0 1.330 * [backup-simplify]: Simplify 0 into 0 1.330 * [backup-simplify]: Simplify 0 into 0 1.330 * [taylor]: Taking taylor expansion of 0 in lambda2 1.330 * [backup-simplify]: Simplify 0 into 0 1.330 * [backup-simplify]: Simplify 0 into 0 1.330 * [backup-simplify]: Simplify 0 into 0 1.330 * [backup-simplify]: Simplify 0 into 0 1.330 * [taylor]: Taking taylor expansion of 0 in lambda2 1.330 * [backup-simplify]: Simplify 0 into 0 1.330 * [backup-simplify]: Simplify 0 into 0 1.330 * [backup-simplify]: Simplify (cos (- (/ 1 (/ 1 (- lambda2))) (/ 1 (/ 1 (- lambda1))))) into (cos (- lambda1 lambda2)) 1.330 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.330 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.330 * [approximate]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in (phi1 phi2 lambda1 lambda2) around 0 1.330 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda2 1.332 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.332 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda1 1.332 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.332 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi2 1.332 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.332 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi1 1.332 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.332 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi1 1.333 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.333 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi2 1.333 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.333 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda1 1.333 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.333 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda2 1.334 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.334 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.334 * [taylor]: Taking taylor expansion of 0 in phi2 1.334 * [backup-simplify]: Simplify 0 into 0 1.334 * [taylor]: Taking taylor expansion of 0 in lambda1 1.334 * [backup-simplify]: Simplify 0 into 0 1.334 * [taylor]: Taking taylor expansion of 0 in lambda2 1.334 * [backup-simplify]: Simplify 0 into 0 1.334 * [backup-simplify]: Simplify 0 into 0 1.334 * [taylor]: Taking taylor expansion of 0 in lambda1 1.334 * [backup-simplify]: Simplify 0 into 0 1.334 * [taylor]: Taking taylor expansion of 0 in lambda2 1.334 * [backup-simplify]: Simplify 0 into 0 1.334 * [backup-simplify]: Simplify 0 into 0 1.334 * [taylor]: Taking taylor expansion of 0 in lambda2 1.334 * [backup-simplify]: Simplify 0 into 0 1.335 * [backup-simplify]: Simplify 0 into 0 1.335 * [backup-simplify]: Simplify 0 into 0 1.335 * [taylor]: Taking taylor expansion of 0 in phi2 1.335 * [backup-simplify]: Simplify 0 into 0 1.335 * [taylor]: Taking taylor expansion of 0 in lambda1 1.335 * [backup-simplify]: Simplify 0 into 0 1.335 * [taylor]: Taking taylor expansion of 0 in lambda2 1.335 * [backup-simplify]: Simplify 0 into 0 1.335 * [backup-simplify]: Simplify 0 into 0 1.335 * [taylor]: Taking taylor expansion of 0 in lambda1 1.335 * [backup-simplify]: Simplify 0 into 0 1.335 * [taylor]: Taking taylor expansion of 0 in lambda2 1.335 * [backup-simplify]: Simplify 0 into 0 1.335 * [backup-simplify]: Simplify 0 into 0 1.335 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.336 * [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 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1.336 * [approximate]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in (phi1 phi2 lambda1 lambda2) around 0 1.336 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in lambda2 1.336 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1.336 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in lambda1 1.337 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1.337 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in phi2 1.337 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1.337 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in phi1 1.338 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1.338 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in phi1 1.338 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1.338 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in phi2 1.338 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1.339 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in lambda1 1.339 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1.339 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in lambda2 1.339 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1.340 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1.340 * [taylor]: Taking taylor expansion of 0 in phi2 1.340 * [backup-simplify]: Simplify 0 into 0 1.340 * [taylor]: Taking taylor expansion of 0 in lambda1 1.340 * [backup-simplify]: Simplify 0 into 0 1.340 * [taylor]: Taking taylor expansion of 0 in lambda2 1.340 * [backup-simplify]: Simplify 0 into 0 1.340 * [backup-simplify]: Simplify 0 into 0 1.340 * [taylor]: Taking taylor expansion of 0 in lambda1 1.340 * [backup-simplify]: Simplify 0 into 0 1.340 * [taylor]: Taking taylor expansion of 0 in lambda2 1.340 * [backup-simplify]: Simplify 0 into 0 1.340 * [backup-simplify]: Simplify 0 into 0 1.340 * [taylor]: Taking taylor expansion of 0 in lambda2 1.340 * [backup-simplify]: Simplify 0 into 0 1.340 * [backup-simplify]: Simplify 0 into 0 1.340 * [backup-simplify]: Simplify 0 into 0 1.340 * [taylor]: Taking taylor expansion of 0 in phi2 1.340 * [backup-simplify]: Simplify 0 into 0 1.340 * [taylor]: Taking taylor expansion of 0 in lambda1 1.341 * [backup-simplify]: Simplify 0 into 0 1.341 * [taylor]: Taking taylor expansion of 0 in lambda2 1.341 * [backup-simplify]: Simplify 0 into 0 1.341 * [backup-simplify]: Simplify 0 into 0 1.341 * [taylor]: Taking taylor expansion of 0 in lambda1 1.341 * [backup-simplify]: Simplify 0 into 0 1.341 * [taylor]: Taking taylor expansion of 0 in lambda2 1.341 * [backup-simplify]: Simplify 0 into 0 1.341 * [backup-simplify]: Simplify 0 into 0 1.341 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (- (/ 1 (/ 1 lambda1)) (/ 1 (/ 1 lambda2)))) (cos (/ 1 (/ 1 phi1))))))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.342 * [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 lambda2) (/ 1 lambda1))))))) 1.342 * [approximate]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.342 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in lambda2 1.342 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.342 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in lambda1 1.343 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.343 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in phi2 1.343 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.343 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in phi1 1.344 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.344 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in phi1 1.344 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.344 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in phi2 1.345 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.345 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in lambda1 1.345 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.345 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in lambda2 1.345 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.346 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.346 * [taylor]: Taking taylor expansion of 0 in phi2 1.346 * [backup-simplify]: Simplify 0 into 0 1.346 * [taylor]: Taking taylor expansion of 0 in lambda1 1.346 * [backup-simplify]: Simplify 0 into 0 1.346 * [taylor]: Taking taylor expansion of 0 in lambda2 1.346 * [backup-simplify]: Simplify 0 into 0 1.346 * [backup-simplify]: Simplify 0 into 0 1.346 * [taylor]: Taking taylor expansion of 0 in lambda1 1.346 * [backup-simplify]: Simplify 0 into 0 1.346 * [taylor]: Taking taylor expansion of 0 in lambda2 1.346 * [backup-simplify]: Simplify 0 into 0 1.346 * [backup-simplify]: Simplify 0 into 0 1.346 * [taylor]: Taking taylor expansion of 0 in lambda2 1.346 * [backup-simplify]: Simplify 0 into 0 1.346 * [backup-simplify]: Simplify 0 into 0 1.346 * [backup-simplify]: Simplify 0 into 0 1.347 * [taylor]: Taking taylor expansion of 0 in phi2 1.347 * [backup-simplify]: Simplify 0 into 0 1.347 * [taylor]: Taking taylor expansion of 0 in lambda1 1.347 * [backup-simplify]: Simplify 0 into 0 1.347 * [taylor]: Taking taylor expansion of 0 in lambda2 1.347 * [backup-simplify]: Simplify 0 into 0 1.347 * [backup-simplify]: Simplify 0 into 0 1.347 * [taylor]: Taking taylor expansion of 0 in lambda1 1.347 * [backup-simplify]: Simplify 0 into 0 1.347 * [taylor]: Taking taylor expansion of 0 in lambda2 1.347 * [backup-simplify]: Simplify 0 into 0 1.347 * [backup-simplify]: Simplify 0 into 0 1.347 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (- (/ 1 (/ 1 (- lambda2))) (/ 1 (/ 1 (- lambda1))))))))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.356 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.356 * [backup-simplify]: Simplify (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) into (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) 1.356 * [approximate]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 1.357 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in R 1.357 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in R 1.357 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.357 * [taylor]: Taking taylor expansion of R in R 1.357 * [backup-simplify]: Simplify 0 into 0 1.357 * [backup-simplify]: Simplify 1 into 1 1.357 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in lambda2 1.357 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda2 1.357 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.357 * [taylor]: Taking taylor expansion of R in lambda2 1.357 * [backup-simplify]: Simplify R into R 1.357 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in lambda1 1.357 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda1 1.358 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.358 * [taylor]: Taking taylor expansion of R in lambda1 1.358 * [backup-simplify]: Simplify R into R 1.358 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in phi2 1.358 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi2 1.358 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.358 * [taylor]: Taking taylor expansion of R in phi2 1.358 * [backup-simplify]: Simplify R into R 1.358 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in phi1 1.358 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi1 1.359 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.359 * [taylor]: Taking taylor expansion of R in phi1 1.359 * [backup-simplify]: Simplify R into R 1.359 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in phi1 1.359 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi1 1.359 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.359 * [taylor]: Taking taylor expansion of R in phi1 1.359 * [backup-simplify]: Simplify R into R 1.359 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) into (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) 1.360 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in phi2 1.360 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi2 1.360 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.360 * [taylor]: Taking taylor expansion of R in phi2 1.360 * [backup-simplify]: Simplify R into R 1.360 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) into (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) 1.360 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in lambda1 1.360 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda1 1.361 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.361 * [taylor]: Taking taylor expansion of R in lambda1 1.361 * [backup-simplify]: Simplify R into R 1.361 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) into (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) 1.361 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in lambda2 1.361 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda2 1.361 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.361 * [taylor]: Taking taylor expansion of R in lambda2 1.361 * [backup-simplify]: Simplify R into R 1.362 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) into (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) 1.362 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in R 1.362 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in R 1.362 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.362 * [taylor]: Taking taylor expansion of R in R 1.362 * [backup-simplify]: Simplify 0 into 0 1.362 * [backup-simplify]: Simplify 1 into 1 1.362 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) into 0 1.362 * [backup-simplify]: Simplify 0 into 0 1.363 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (* 0 R)) into 0 1.363 * [taylor]: Taking taylor expansion of 0 in phi2 1.363 * [backup-simplify]: Simplify 0 into 0 1.363 * [taylor]: Taking taylor expansion of 0 in lambda1 1.363 * [backup-simplify]: Simplify 0 into 0 1.363 * [taylor]: Taking taylor expansion of 0 in lambda2 1.363 * [backup-simplify]: Simplify 0 into 0 1.363 * [taylor]: Taking taylor expansion of 0 in R 1.363 * [backup-simplify]: Simplify 0 into 0 1.363 * [backup-simplify]: Simplify 0 into 0 1.364 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (* 0 R)) into 0 1.364 * [taylor]: Taking taylor expansion of 0 in lambda1 1.364 * [backup-simplify]: Simplify 0 into 0 1.364 * [taylor]: Taking taylor expansion of 0 in lambda2 1.364 * [backup-simplify]: Simplify 0 into 0 1.364 * [taylor]: Taking taylor expansion of 0 in R 1.364 * [backup-simplify]: Simplify 0 into 0 1.364 * [backup-simplify]: Simplify 0 into 0 1.364 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (* 0 R)) into 0 1.364 * [taylor]: Taking taylor expansion of 0 in lambda2 1.364 * [backup-simplify]: Simplify 0 into 0 1.364 * [taylor]: Taking taylor expansion of 0 in R 1.364 * [backup-simplify]: Simplify 0 into 0 1.364 * [backup-simplify]: Simplify 0 into 0 1.365 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (* 0 R)) into 0 1.365 * [taylor]: Taking taylor expansion of 0 in R 1.365 * [backup-simplify]: Simplify 0 into 0 1.365 * [backup-simplify]: Simplify 0 into 0 1.366 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1) (* 0 0)) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.366 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.367 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (+ (* 0 0) (* 0 R))) into 0 1.367 * [taylor]: Taking taylor expansion of 0 in phi2 1.367 * [backup-simplify]: Simplify 0 into 0 1.367 * [taylor]: Taking taylor expansion of 0 in lambda1 1.367 * [backup-simplify]: Simplify 0 into 0 1.367 * [taylor]: Taking taylor expansion of 0 in lambda2 1.367 * [backup-simplify]: Simplify 0 into 0 1.367 * [taylor]: Taking taylor expansion of 0 in R 1.367 * [backup-simplify]: Simplify 0 into 0 1.367 * [backup-simplify]: Simplify 0 into 0 1.367 * [taylor]: Taking taylor expansion of 0 in lambda1 1.368 * [backup-simplify]: Simplify 0 into 0 1.368 * [taylor]: Taking taylor expansion of 0 in lambda2 1.368 * [backup-simplify]: Simplify 0 into 0 1.368 * [taylor]: Taking taylor expansion of 0 in R 1.368 * [backup-simplify]: Simplify 0 into 0 1.368 * [backup-simplify]: Simplify 0 into 0 1.368 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (+ (* 0 0) (* 0 R))) into 0 1.368 * [taylor]: Taking taylor expansion of 0 in lambda1 1.369 * [backup-simplify]: Simplify 0 into 0 1.369 * [taylor]: Taking taylor expansion of 0 in lambda2 1.369 * [backup-simplify]: Simplify 0 into 0 1.369 * [taylor]: Taking taylor expansion of 0 in R 1.369 * [backup-simplify]: Simplify 0 into 0 1.369 * [backup-simplify]: Simplify 0 into 0 1.369 * [taylor]: Taking taylor expansion of 0 in lambda2 1.369 * [backup-simplify]: Simplify 0 into 0 1.369 * [taylor]: Taking taylor expansion of 0 in R 1.369 * [backup-simplify]: Simplify 0 into 0 1.369 * [backup-simplify]: Simplify 0 into 0 1.369 * [taylor]: Taking taylor expansion of 0 in lambda2 1.369 * [backup-simplify]: Simplify 0 into 0 1.369 * [taylor]: Taking taylor expansion of 0 in R 1.369 * [backup-simplify]: Simplify 0 into 0 1.369 * [backup-simplify]: Simplify 0 into 0 1.370 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (+ (* 0 0) (* 0 R))) into 0 1.370 * [taylor]: Taking taylor expansion of 0 in lambda2 1.370 * [backup-simplify]: Simplify 0 into 0 1.370 * [taylor]: Taking taylor expansion of 0 in R 1.370 * [backup-simplify]: Simplify 0 into 0 1.370 * [backup-simplify]: Simplify 0 into 0 1.371 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) (* R (* 1 (* 1 (* 1 1))))) into (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) 1.371 * [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 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) 1.371 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 1.371 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in R 1.371 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in R 1.372 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1.372 * [taylor]: Taking taylor expansion of R in R 1.372 * [backup-simplify]: Simplify 0 into 0 1.372 * [backup-simplify]: Simplify 1 into 1 1.373 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1.373 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in lambda2 1.373 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in lambda2 1.373 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1.373 * [taylor]: Taking taylor expansion of R in lambda2 1.373 * [backup-simplify]: Simplify R into R 1.374 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) 1.374 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in lambda1 1.374 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in lambda1 1.374 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1.374 * [taylor]: Taking taylor expansion of R in lambda1 1.374 * [backup-simplify]: Simplify R into R 1.375 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) 1.375 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in phi2 1.375 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in phi2 1.375 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1.375 * [taylor]: Taking taylor expansion of R in phi2 1.375 * [backup-simplify]: Simplify R into R 1.376 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) 1.376 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in phi1 1.376 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in phi1 1.376 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1.376 * [taylor]: Taking taylor expansion of R in phi1 1.376 * [backup-simplify]: Simplify R into R 1.377 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) 1.377 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in phi1 1.377 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in phi1 1.377 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1.377 * [taylor]: Taking taylor expansion of R in phi1 1.377 * [backup-simplify]: Simplify R into R 1.378 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) 1.378 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in phi2 1.378 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in phi2 1.378 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1.378 * [taylor]: Taking taylor expansion of R in phi2 1.378 * [backup-simplify]: Simplify R into R 1.379 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) 1.379 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in lambda1 1.379 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in lambda1 1.379 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1.379 * [taylor]: Taking taylor expansion of R in lambda1 1.379 * [backup-simplify]: Simplify R into R 1.380 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) 1.380 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in lambda2 1.380 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in lambda2 1.380 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1.380 * [taylor]: Taking taylor expansion of R in lambda2 1.380 * [backup-simplify]: Simplify R into R 1.381 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) 1.381 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in R 1.381 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in R 1.381 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1.381 * [taylor]: Taking taylor expansion of R in R 1.381 * [backup-simplify]: Simplify 0 into 0 1.381 * [backup-simplify]: Simplify 1 into 1 1.382 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1.382 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1.383 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) (/ 0 R)))) into 0 1.383 * [taylor]: Taking taylor expansion of 0 in phi2 1.383 * [backup-simplify]: Simplify 0 into 0 1.383 * [taylor]: Taking taylor expansion of 0 in lambda1 1.383 * [backup-simplify]: Simplify 0 into 0 1.383 * [taylor]: Taking taylor expansion of 0 in lambda2 1.383 * [backup-simplify]: Simplify 0 into 0 1.383 * [taylor]: Taking taylor expansion of 0 in R 1.383 * [backup-simplify]: Simplify 0 into 0 1.384 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) (/ 0 R)))) into 0 1.384 * [taylor]: Taking taylor expansion of 0 in lambda1 1.384 * [backup-simplify]: Simplify 0 into 0 1.384 * [taylor]: Taking taylor expansion of 0 in lambda2 1.384 * [backup-simplify]: Simplify 0 into 0 1.384 * [taylor]: Taking taylor expansion of 0 in R 1.384 * [backup-simplify]: Simplify 0 into 0 1.385 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) (/ 0 R)))) into 0 1.385 * [taylor]: Taking taylor expansion of 0 in lambda2 1.385 * [backup-simplify]: Simplify 0 into 0 1.385 * [taylor]: Taking taylor expansion of 0 in R 1.385 * [backup-simplify]: Simplify 0 into 0 1.386 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) (/ 0 R)))) into 0 1.386 * [taylor]: Taking taylor expansion of 0 in R 1.386 * [backup-simplify]: Simplify 0 into 0 1.387 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) (/ 0 1)))) into 0 1.387 * [backup-simplify]: Simplify 0 into 0 1.388 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 1.388 * [taylor]: Taking taylor expansion of 0 in phi2 1.388 * [backup-simplify]: Simplify 0 into 0 1.388 * [taylor]: Taking taylor expansion of 0 in lambda1 1.388 * [backup-simplify]: Simplify 0 into 0 1.388 * [taylor]: Taking taylor expansion of 0 in lambda2 1.388 * [backup-simplify]: Simplify 0 into 0 1.388 * [taylor]: Taking taylor expansion of 0 in R 1.388 * [backup-simplify]: Simplify 0 into 0 1.388 * [taylor]: Taking taylor expansion of 0 in lambda1 1.388 * [backup-simplify]: Simplify 0 into 0 1.388 * [taylor]: Taking taylor expansion of 0 in lambda2 1.388 * [backup-simplify]: Simplify 0 into 0 1.388 * [taylor]: Taking taylor expansion of 0 in R 1.388 * [backup-simplify]: Simplify 0 into 0 1.389 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 1.389 * [taylor]: Taking taylor expansion of 0 in lambda1 1.389 * [backup-simplify]: Simplify 0 into 0 1.389 * [taylor]: Taking taylor expansion of 0 in lambda2 1.389 * [backup-simplify]: Simplify 0 into 0 1.389 * [taylor]: Taking taylor expansion of 0 in R 1.389 * [backup-simplify]: Simplify 0 into 0 1.389 * [taylor]: Taking taylor expansion of 0 in lambda2 1.389 * [backup-simplify]: Simplify 0 into 0 1.389 * [taylor]: Taking taylor expansion of 0 in R 1.389 * [backup-simplify]: Simplify 0 into 0 1.389 * [taylor]: Taking taylor expansion of 0 in lambda2 1.389 * [backup-simplify]: Simplify 0 into 0 1.389 * [taylor]: Taking taylor expansion of 0 in R 1.389 * [backup-simplify]: Simplify 0 into 0 1.390 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 1.390 * [taylor]: Taking taylor expansion of 0 in lambda2 1.390 * [backup-simplify]: Simplify 0 into 0 1.390 * [taylor]: Taking taylor expansion of 0 in R 1.390 * [backup-simplify]: Simplify 0 into 0 1.390 * [taylor]: Taking taylor expansion of 0 in R 1.390 * [backup-simplify]: Simplify 0 into 0 1.390 * [taylor]: Taking taylor expansion of 0 in R 1.390 * [backup-simplify]: Simplify 0 into 0 1.390 * [taylor]: Taking taylor expansion of 0 in R 1.391 * [backup-simplify]: Simplify 0 into 0 1.391 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 1.391 * [taylor]: Taking taylor expansion of 0 in R 1.391 * [backup-simplify]: Simplify 0 into 0 1.391 * [backup-simplify]: Simplify 0 into 0 1.391 * [backup-simplify]: Simplify 0 into 0 1.391 * [backup-simplify]: Simplify 0 into 0 1.391 * [backup-simplify]: Simplify 0 into 0 1.393 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.393 * [backup-simplify]: Simplify 0 into 0 1.394 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (- (/ 1 (/ 1 lambda1)) (/ 1 (/ 1 lambda2)))) (cos (/ 1 (/ 1 phi1))))))) (* (/ 1 (/ 1 R)) (* 1 (* 1 (* 1 1))))) into (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) 1.394 * [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 (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) 1.394 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 1.394 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in R 1.394 * [taylor]: Taking taylor expansion of -1 in R 1.394 * [backup-simplify]: Simplify -1 into -1 1.394 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in R 1.394 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in R 1.394 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.394 * [taylor]: Taking taylor expansion of R in R 1.394 * [backup-simplify]: Simplify 0 into 0 1.394 * [backup-simplify]: Simplify 1 into 1 1.395 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.395 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in lambda2 1.395 * [taylor]: Taking taylor expansion of -1 in lambda2 1.395 * [backup-simplify]: Simplify -1 into -1 1.395 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in lambda2 1.395 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in lambda2 1.395 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.395 * [taylor]: Taking taylor expansion of R in lambda2 1.395 * [backup-simplify]: Simplify R into R 1.395 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) 1.395 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in lambda1 1.395 * [taylor]: Taking taylor expansion of -1 in lambda1 1.395 * [backup-simplify]: Simplify -1 into -1 1.395 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in lambda1 1.395 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in lambda1 1.396 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.396 * [taylor]: Taking taylor expansion of R in lambda1 1.396 * [backup-simplify]: Simplify R into R 1.396 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) 1.396 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in phi2 1.396 * [taylor]: Taking taylor expansion of -1 in phi2 1.396 * [backup-simplify]: Simplify -1 into -1 1.396 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in phi2 1.396 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in phi2 1.396 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.396 * [taylor]: Taking taylor expansion of R in phi2 1.396 * [backup-simplify]: Simplify R into R 1.397 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) 1.397 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in phi1 1.397 * [taylor]: Taking taylor expansion of -1 in phi1 1.397 * [backup-simplify]: Simplify -1 into -1 1.397 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in phi1 1.397 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in phi1 1.397 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.397 * [taylor]: Taking taylor expansion of R in phi1 1.397 * [backup-simplify]: Simplify R into R 1.397 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) 1.397 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in phi1 1.397 * [taylor]: Taking taylor expansion of -1 in phi1 1.397 * [backup-simplify]: Simplify -1 into -1 1.397 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in phi1 1.397 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in phi1 1.397 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.397 * [taylor]: Taking taylor expansion of R in phi1 1.398 * [backup-simplify]: Simplify R into R 1.398 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) 1.398 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) into (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) 1.398 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in phi2 1.398 * [taylor]: Taking taylor expansion of -1 in phi2 1.398 * [backup-simplify]: Simplify -1 into -1 1.398 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in phi2 1.398 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in phi2 1.399 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.399 * [taylor]: Taking taylor expansion of R in phi2 1.399 * [backup-simplify]: Simplify R into R 1.399 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) 1.399 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) into (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) 1.399 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in lambda1 1.399 * [taylor]: Taking taylor expansion of -1 in lambda1 1.400 * [backup-simplify]: Simplify -1 into -1 1.400 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in lambda1 1.400 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in lambda1 1.400 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.400 * [taylor]: Taking taylor expansion of R in lambda1 1.400 * [backup-simplify]: Simplify R into R 1.400 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) 1.400 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) into (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) 1.400 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in lambda2 1.400 * [taylor]: Taking taylor expansion of -1 in lambda2 1.401 * [backup-simplify]: Simplify -1 into -1 1.401 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in lambda2 1.401 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in lambda2 1.401 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.401 * [taylor]: Taking taylor expansion of R in lambda2 1.401 * [backup-simplify]: Simplify R into R 1.401 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) 1.401 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) into (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) 1.401 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in R 1.401 * [taylor]: Taking taylor expansion of -1 in R 1.401 * [backup-simplify]: Simplify -1 into -1 1.401 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in R 1.401 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in R 1.402 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.402 * [taylor]: Taking taylor expansion of R in R 1.402 * [backup-simplify]: Simplify 0 into 0 1.402 * [backup-simplify]: Simplify 1 into 1 1.402 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.402 * [backup-simplify]: Simplify (* -1 (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))) into (* -1 (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))) 1.402 * [backup-simplify]: Simplify (* -1 (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))) into (* -1 (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))) 1.403 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)))) into 0 1.404 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R))) into 0 1.404 * [taylor]: Taking taylor expansion of 0 in phi2 1.404 * [backup-simplify]: Simplify 0 into 0 1.404 * [taylor]: Taking taylor expansion of 0 in lambda1 1.404 * [backup-simplify]: Simplify 0 into 0 1.404 * [taylor]: Taking taylor expansion of 0 in lambda2 1.404 * [backup-simplify]: Simplify 0 into 0 1.404 * [taylor]: Taking taylor expansion of 0 in R 1.404 * [backup-simplify]: Simplify 0 into 0 1.404 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)))) into 0 1.405 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R))) into 0 1.405 * [taylor]: Taking taylor expansion of 0 in lambda1 1.405 * [backup-simplify]: Simplify 0 into 0 1.405 * [taylor]: Taking taylor expansion of 0 in lambda2 1.405 * [backup-simplify]: Simplify 0 into 0 1.405 * [taylor]: Taking taylor expansion of 0 in R 1.405 * [backup-simplify]: Simplify 0 into 0 1.405 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)))) into 0 1.406 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R))) into 0 1.406 * [taylor]: Taking taylor expansion of 0 in lambda2 1.406 * [backup-simplify]: Simplify 0 into 0 1.406 * [taylor]: Taking taylor expansion of 0 in R 1.406 * [backup-simplify]: Simplify 0 into 0 1.406 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)))) into 0 1.407 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R))) into 0 1.407 * [taylor]: Taking taylor expansion of 0 in R 1.407 * [backup-simplify]: Simplify 0 into 0 1.408 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) (/ 0 1)))) into 0 1.408 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))))) into 0 1.408 * [backup-simplify]: Simplify 0 into 0 1.409 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 1.409 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)))) into 0 1.409 * [taylor]: Taking taylor expansion of 0 in phi2 1.409 * [backup-simplify]: Simplify 0 into 0 1.409 * [taylor]: Taking taylor expansion of 0 in lambda1 1.409 * [backup-simplify]: Simplify 0 into 0 1.409 * [taylor]: Taking taylor expansion of 0 in lambda2 1.410 * [backup-simplify]: Simplify 0 into 0 1.410 * [taylor]: Taking taylor expansion of 0 in R 1.410 * [backup-simplify]: Simplify 0 into 0 1.410 * [taylor]: Taking taylor expansion of 0 in lambda1 1.410 * [backup-simplify]: Simplify 0 into 0 1.410 * [taylor]: Taking taylor expansion of 0 in lambda2 1.410 * [backup-simplify]: Simplify 0 into 0 1.410 * [taylor]: Taking taylor expansion of 0 in R 1.410 * [backup-simplify]: Simplify 0 into 0 1.410 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 1.411 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)))) into 0 1.411 * [taylor]: Taking taylor expansion of 0 in lambda1 1.411 * [backup-simplify]: Simplify 0 into 0 1.411 * [taylor]: Taking taylor expansion of 0 in lambda2 1.411 * [backup-simplify]: Simplify 0 into 0 1.411 * [taylor]: Taking taylor expansion of 0 in R 1.411 * [backup-simplify]: Simplify 0 into 0 1.411 * [taylor]: Taking taylor expansion of 0 in lambda2 1.411 * [backup-simplify]: Simplify 0 into 0 1.411 * [taylor]: Taking taylor expansion of 0 in R 1.411 * [backup-simplify]: Simplify 0 into 0 1.411 * [taylor]: Taking taylor expansion of 0 in lambda2 1.411 * [backup-simplify]: Simplify 0 into 0 1.411 * [taylor]: Taking taylor expansion of 0 in R 1.411 * [backup-simplify]: Simplify 0 into 0 1.411 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 1.412 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)))) into 0 1.412 * [taylor]: Taking taylor expansion of 0 in lambda2 1.412 * [backup-simplify]: Simplify 0 into 0 1.412 * [taylor]: Taking taylor expansion of 0 in R 1.412 * [backup-simplify]: Simplify 0 into 0 1.412 * [taylor]: Taking taylor expansion of 0 in R 1.412 * [backup-simplify]: Simplify 0 into 0 1.412 * [taylor]: Taking taylor expansion of 0 in R 1.412 * [backup-simplify]: Simplify 0 into 0 1.412 * [taylor]: Taking taylor expansion of 0 in R 1.412 * [backup-simplify]: Simplify 0 into 0 1.413 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 1.414 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)))) into 0 1.414 * [taylor]: Taking taylor expansion of 0 in R 1.414 * [backup-simplify]: Simplify 0 into 0 1.414 * [backup-simplify]: Simplify 0 into 0 1.414 * [backup-simplify]: Simplify 0 into 0 1.414 * [backup-simplify]: Simplify 0 into 0 1.414 * [backup-simplify]: Simplify 0 into 0 1.415 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.416 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))))) into 0 1.416 * [backup-simplify]: Simplify 0 into 0 1.417 * [backup-simplify]: Simplify (* (* -1 (acos (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (- (/ 1 (/ 1 (- lambda2))) (/ 1 (/ 1 (- lambda1)))))))))) (* (/ 1 (/ 1 (- R))) (* 1 (* 1 (* 1 1))))) into (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) 1.417 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 1.417 * [backup-simplify]: Simplify (* (sin phi1) (sin phi2)) into (* (sin phi1) (sin phi2)) 1.417 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 1.417 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 1.417 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 1.417 * [taylor]: Taking taylor expansion of phi1 in phi2 1.417 * [backup-simplify]: Simplify phi1 into phi1 1.417 * [backup-simplify]: Simplify (sin phi1) into (sin phi1) 1.417 * [backup-simplify]: Simplify (cos phi1) into (cos phi1) 1.417 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.417 * [taylor]: Taking taylor expansion of phi2 in phi2 1.417 * [backup-simplify]: Simplify 0 into 0 1.417 * [backup-simplify]: Simplify 1 into 1 1.417 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 1.417 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 1.417 * [taylor]: Taking taylor expansion of phi1 in phi1 1.417 * [backup-simplify]: Simplify 0 into 0 1.417 * [backup-simplify]: Simplify 1 into 1 1.417 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 1.417 * [taylor]: Taking taylor expansion of phi2 in phi1 1.417 * [backup-simplify]: Simplify phi2 into phi2 1.417 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 1.417 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 1.417 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 1.417 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 1.417 * [taylor]: Taking taylor expansion of phi1 in phi1 1.417 * [backup-simplify]: Simplify 0 into 0 1.417 * [backup-simplify]: Simplify 1 into 1 1.417 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 1.417 * [taylor]: Taking taylor expansion of phi2 in phi1 1.417 * [backup-simplify]: Simplify phi2 into phi2 1.417 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 1.417 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 1.417 * [backup-simplify]: Simplify (* (sin phi2) 1) into (sin phi2) 1.418 * [backup-simplify]: Simplify (* (cos phi2) 0) into 0 1.418 * [backup-simplify]: Simplify (+ (sin phi2) 0) into (sin phi2) 1.418 * [backup-simplify]: Simplify (* 0 (sin phi2)) into 0 1.418 * [taylor]: Taking taylor expansion of 0 in phi2 1.418 * [backup-simplify]: Simplify 0 into 0 1.418 * [backup-simplify]: Simplify 0 into 0 1.418 * [backup-simplify]: Simplify (+ 0) into 0 1.419 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (* 0 1)) into 0 1.419 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.419 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (* 0 0)) into 0 1.420 * [backup-simplify]: Simplify (+ 0 0) into 0 1.420 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.421 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin phi2))) into (sin phi2) 1.421 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.421 * [taylor]: Taking taylor expansion of phi2 in phi2 1.421 * [backup-simplify]: Simplify 0 into 0 1.421 * [backup-simplify]: Simplify 1 into 1 1.421 * [backup-simplify]: Simplify 0 into 0 1.421 * [backup-simplify]: Simplify 0 into 0 1.422 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.423 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (* 0 1))) into 0 1.423 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.424 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* 0 0))) into 0 1.424 * [backup-simplify]: Simplify (+ 0 0) into 0 1.425 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.426 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin phi2)))) into 0 1.426 * [taylor]: Taking taylor expansion of 0 in phi2 1.426 * [backup-simplify]: Simplify 0 into 0 1.426 * [backup-simplify]: Simplify 0 into 0 1.427 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.427 * [backup-simplify]: Simplify 1 into 1 1.427 * [backup-simplify]: Simplify 0 into 0 1.428 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.429 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.431 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.431 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.432 * [backup-simplify]: Simplify (+ 0 0) into 0 1.433 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 1.435 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin phi2))))) into (- (* 1/6 (sin phi2))) 1.435 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 1.435 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 1.435 * [taylor]: Taking taylor expansion of 1/6 in phi2 1.435 * [backup-simplify]: Simplify 1/6 into 1/6 1.435 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.435 * [taylor]: Taking taylor expansion of phi2 in phi2 1.435 * [backup-simplify]: Simplify 0 into 0 1.435 * [backup-simplify]: Simplify 1 into 1 1.435 * [backup-simplify]: Simplify (* 1/6 0) into 0 1.436 * [backup-simplify]: Simplify (- 0) into 0 1.436 * [backup-simplify]: Simplify 0 into 0 1.436 * [backup-simplify]: Simplify 0 into 0 1.436 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.437 * [backup-simplify]: Simplify 0 into 0 1.437 * [backup-simplify]: Simplify 0 into 0 1.439 * [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 1.440 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.442 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.442 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 1.443 * [backup-simplify]: Simplify (+ 0 0) into 0 1.444 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.445 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin phi2)))))) into 0 1.445 * [taylor]: Taking taylor expansion of 0 in phi2 1.445 * [backup-simplify]: Simplify 0 into 0 1.445 * [backup-simplify]: Simplify 0 into 0 1.445 * [backup-simplify]: Simplify (* 1 (* phi2 phi1)) into (* phi1 phi2) 1.445 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 1.445 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in (phi1 phi2) around 0 1.445 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2 1.445 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 1.445 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.445 * [taylor]: Taking taylor expansion of phi2 in phi2 1.446 * [backup-simplify]: Simplify 0 into 0 1.446 * [backup-simplify]: Simplify 1 into 1 1.446 * [backup-simplify]: Simplify (/ 1 1) into 1 1.446 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 1.446 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 1.446 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.446 * [taylor]: Taking taylor expansion of phi1 in phi2 1.446 * [backup-simplify]: Simplify phi1 into phi1 1.446 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.446 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 1.446 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 1.446 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1 1.446 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 1.446 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.446 * [taylor]: Taking taylor expansion of phi2 in phi1 1.446 * [backup-simplify]: Simplify phi2 into phi2 1.446 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.446 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 1.446 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 1.446 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 1.446 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.446 * [taylor]: Taking taylor expansion of phi1 in phi1 1.446 * [backup-simplify]: Simplify 0 into 0 1.446 * [backup-simplify]: Simplify 1 into 1 1.447 * [backup-simplify]: Simplify (/ 1 1) into 1 1.447 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 1.447 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1 1.447 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 1.447 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.447 * [taylor]: Taking taylor expansion of phi2 in phi1 1.447 * [backup-simplify]: Simplify phi2 into phi2 1.447 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.447 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 1.447 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 1.447 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 1.447 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.447 * [taylor]: Taking taylor expansion of phi1 in phi1 1.447 * [backup-simplify]: Simplify 0 into 0 1.447 * [backup-simplify]: Simplify 1 into 1 1.447 * [backup-simplify]: Simplify (/ 1 1) into 1 1.447 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 1.447 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 1) into (sin (/ 1 phi2)) 1.447 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 0) into 0 1.447 * [backup-simplify]: Simplify (+ (sin (/ 1 phi2)) 0) into (sin (/ 1 phi2)) 1.447 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 1.447 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2 1.448 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 1.448 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.448 * [taylor]: Taking taylor expansion of phi2 in phi2 1.448 * [backup-simplify]: Simplify 0 into 0 1.448 * [backup-simplify]: Simplify 1 into 1 1.448 * [backup-simplify]: Simplify (/ 1 1) into 1 1.448 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 1.448 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 1.448 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.448 * [taylor]: Taking taylor expansion of phi1 in phi2 1.448 * [backup-simplify]: Simplify phi1 into phi1 1.448 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.448 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 1.448 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 1.448 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 1) into (sin (/ 1 phi1)) 1.448 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 0) into 0 1.448 * [backup-simplify]: Simplify (+ (sin (/ 1 phi1)) 0) into (sin (/ 1 phi1)) 1.448 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 1.448 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 1.449 * [backup-simplify]: Simplify (+ 0) into 0 1.449 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 1)) into 0 1.449 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1.450 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.450 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 0)) into 0 1.450 * [backup-simplify]: Simplify (+ 0 0) into 0 1.450 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0 1.450 * [taylor]: Taking taylor expansion of 0 in phi2 1.450 * [backup-simplify]: Simplify 0 into 0 1.450 * [backup-simplify]: Simplify 0 into 0 1.451 * [backup-simplify]: Simplify (+ 0) into 0 1.451 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 1)) into 0 1.451 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1.452 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.452 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 0)) into 0 1.452 * [backup-simplify]: Simplify (+ 0 0) into 0 1.452 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0 1.452 * [backup-simplify]: Simplify 0 into 0 1.453 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.453 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 1.453 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.454 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.454 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 1.454 * [backup-simplify]: Simplify (+ 0 0) into 0 1.455 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0 1.455 * [taylor]: Taking taylor expansion of 0 in phi2 1.455 * [backup-simplify]: Simplify 0 into 0 1.455 * [backup-simplify]: Simplify 0 into 0 1.455 * [backup-simplify]: Simplify 0 into 0 1.455 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.456 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 1.456 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1.456 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.457 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 1.457 * [backup-simplify]: Simplify (+ 0 0) into 0 1.457 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0 1.457 * [backup-simplify]: Simplify 0 into 0 1.458 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.459 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.459 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.460 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.460 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.461 * [backup-simplify]: Simplify (+ 0 0) into 0 1.461 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1)))))) into 0 1.461 * [taylor]: Taking taylor expansion of 0 in phi2 1.461 * [backup-simplify]: Simplify 0 into 0 1.461 * [backup-simplify]: Simplify 0 into 0 1.462 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) into (* (sin phi1) (sin phi2)) 1.462 * [backup-simplify]: Simplify (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 1.462 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 1.462 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.462 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 1.462 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.462 * [taylor]: Taking taylor expansion of -1 in phi2 1.462 * [backup-simplify]: Simplify -1 into -1 1.462 * [taylor]: Taking taylor expansion of phi1 in phi2 1.462 * [backup-simplify]: Simplify phi1 into phi1 1.462 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 1.462 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 1.462 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 1.462 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 1.462 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.462 * [taylor]: Taking taylor expansion of -1 in phi2 1.462 * [backup-simplify]: Simplify -1 into -1 1.462 * [taylor]: Taking taylor expansion of phi2 in phi2 1.462 * [backup-simplify]: Simplify 0 into 0 1.462 * [backup-simplify]: Simplify 1 into 1 1.462 * [backup-simplify]: Simplify (/ -1 1) into -1 1.462 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 1.462 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 1.462 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 1.462 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.462 * [taylor]: Taking taylor expansion of -1 in phi1 1.462 * [backup-simplify]: Simplify -1 into -1 1.462 * [taylor]: Taking taylor expansion of phi1 in phi1 1.462 * [backup-simplify]: Simplify 0 into 0 1.463 * [backup-simplify]: Simplify 1 into 1 1.463 * [backup-simplify]: Simplify (/ -1 1) into -1 1.463 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 1.463 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 1.463 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.463 * [taylor]: Taking taylor expansion of -1 in phi1 1.463 * [backup-simplify]: Simplify -1 into -1 1.463 * [taylor]: Taking taylor expansion of phi2 in phi1 1.463 * [backup-simplify]: Simplify phi2 into phi2 1.463 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 1.463 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 1.463 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 1.463 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 1.463 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 1.463 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.463 * [taylor]: Taking taylor expansion of -1 in phi1 1.463 * [backup-simplify]: Simplify -1 into -1 1.463 * [taylor]: Taking taylor expansion of phi1 in phi1 1.463 * [backup-simplify]: Simplify 0 into 0 1.463 * [backup-simplify]: Simplify 1 into 1 1.463 * [backup-simplify]: Simplify (/ -1 1) into -1 1.463 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 1.464 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 1.464 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.464 * [taylor]: Taking taylor expansion of -1 in phi1 1.464 * [backup-simplify]: Simplify -1 into -1 1.464 * [taylor]: Taking taylor expansion of phi2 in phi1 1.464 * [backup-simplify]: Simplify phi2 into phi2 1.464 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 1.464 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 1.464 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 1.464 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 1) into (sin (/ -1 phi2)) 1.464 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 0) into 0 1.464 * [backup-simplify]: Simplify (+ (sin (/ -1 phi2)) 0) into (sin (/ -1 phi2)) 1.464 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 1.464 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.464 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 1.464 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.464 * [taylor]: Taking taylor expansion of -1 in phi2 1.464 * [backup-simplify]: Simplify -1 into -1 1.464 * [taylor]: Taking taylor expansion of phi1 in phi2 1.464 * [backup-simplify]: Simplify phi1 into phi1 1.464 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 1.464 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 1.464 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 1.464 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 1.464 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.464 * [taylor]: Taking taylor expansion of -1 in phi2 1.464 * [backup-simplify]: Simplify -1 into -1 1.464 * [taylor]: Taking taylor expansion of phi2 in phi2 1.464 * [backup-simplify]: Simplify 0 into 0 1.464 * [backup-simplify]: Simplify 1 into 1 1.465 * [backup-simplify]: Simplify (/ -1 1) into -1 1.465 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 1.465 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 1) into (sin (/ -1 phi1)) 1.465 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 0) into 0 1.465 * [backup-simplify]: Simplify (+ (sin (/ -1 phi1)) 0) into (sin (/ -1 phi1)) 1.465 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 1.465 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 1.465 * [backup-simplify]: Simplify (+ 0) into 0 1.466 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 1)) into 0 1.466 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0 1.466 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.466 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 0)) into 0 1.467 * [backup-simplify]: Simplify (+ 0 0) into 0 1.467 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 1.467 * [taylor]: Taking taylor expansion of 0 in phi2 1.467 * [backup-simplify]: Simplify 0 into 0 1.467 * [backup-simplify]: Simplify 0 into 0 1.467 * [backup-simplify]: Simplify (+ 0) into 0 1.467 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 1)) into 0 1.468 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0 1.468 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.468 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 0)) into 0 1.469 * [backup-simplify]: Simplify (+ 0 0) into 0 1.469 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 1.469 * [backup-simplify]: Simplify 0 into 0 1.469 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.470 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 1.470 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.473 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.473 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 1.474 * [backup-simplify]: Simplify (+ 0 0) into 0 1.474 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 1.474 * [taylor]: Taking taylor expansion of 0 in phi2 1.474 * [backup-simplify]: Simplify 0 into 0 1.474 * [backup-simplify]: Simplify 0 into 0 1.474 * [backup-simplify]: Simplify 0 into 0 1.475 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.475 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 1.475 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1.476 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.476 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 1.477 * [backup-simplify]: Simplify (+ 0 0) into 0 1.477 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 1.477 * [backup-simplify]: Simplify 0 into 0 1.478 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.479 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.479 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.481 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.482 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.482 * [backup-simplify]: Simplify (+ 0 0) into 0 1.483 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2)))))) into 0 1.483 * [taylor]: Taking taylor expansion of 0 in phi2 1.483 * [backup-simplify]: Simplify 0 into 0 1.483 * [backup-simplify]: Simplify 0 into 0 1.483 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) into (* (sin phi1) (sin phi2)) 1.483 * * * [progress]: simplifying candidates 1.483 * * * * [progress]: [ 1 / 71 ] simplifiying candidate # 1.484 * * * * [progress]: [ 2 / 71 ] simplifiying candidate # 1.484 * * * * [progress]: [ 3 / 71 ] simplifiying candidate # 1.484 * * * * [progress]: [ 4 / 71 ] simplifiying candidate # 1.484 * * * * [progress]: [ 5 / 71 ] simplifiying candidate # 1.484 * * * * [progress]: [ 6 / 71 ] simplifiying candidate # 1.484 * * * * [progress]: [ 7 / 71 ] simplifiying candidate # 1.484 * * * * [progress]: [ 8 / 71 ] simplifiying candidate # 1.484 * * * * [progress]: [ 9 / 71 ] simplifiying candidate # 1.484 * * * * [progress]: [ 10 / 71 ] simplifiying candidate # 1.485 * * * * [progress]: [ 11 / 71 ] simplifiying candidate #real (real->posit16 (cos (- lambda1 lambda2))))))) R))> 1.485 * * * * [progress]: [ 12 / 71 ] simplifiying candidate # 1.485 * * * * [progress]: [ 13 / 71 ] simplifiying candidate # 1.485 * * * * [progress]: [ 14 / 71 ] simplifiying candidate # 1.485 * * * * [progress]: [ 15 / 71 ] simplifiying candidate # 1.485 * * * * [progress]: [ 16 / 71 ] simplifiying candidate # 1.485 * * * * [progress]: [ 17 / 71 ] simplifiying candidate # 1.485 * * * * [progress]: [ 18 / 71 ] simplifiying candidate # 1.485 * * * * [progress]: [ 19 / 71 ] simplifiying candidate # 1.485 * * * * [progress]: [ 20 / 71 ] simplifiying candidate #real (real->posit16 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) R))> 1.485 * * * * [progress]: [ 21 / 71 ] simplifiying candidate # 1.485 * * * * [progress]: [ 22 / 71 ] simplifiying candidate # 1.485 * * * * [progress]: [ 23 / 71 ] simplifiying candidate # 1.485 * * * * [progress]: [ 24 / 71 ] simplifiying candidate # 1.486 * * * * [progress]: [ 25 / 71 ] simplifiying candidate # 1.486 * * * * [progress]: [ 26 / 71 ] simplifiying candidate # 1.486 * * * * [progress]: [ 27 / 71 ] simplifiying candidate # 1.486 * * * * [progress]: [ 28 / 71 ] simplifiying candidate # 1.486 * * * * [progress]: [ 29 / 71 ] simplifiying candidate # 1.486 * * * * [progress]: [ 30 / 71 ] simplifiying candidate # 1.486 * * * * [progress]: [ 31 / 71 ] simplifiying candidate # 1.486 * * * * [progress]: [ 32 / 71 ] simplifiying candidate # 1.486 * * * * [progress]: [ 33 / 71 ] simplifiying candidate # 1.486 * * * * [progress]: [ 34 / 71 ] simplifiying candidate # 1.486 * * * * [progress]: [ 35 / 71 ] simplifiying candidate # 1.486 * * * * [progress]: [ 36 / 71 ] simplifiying candidate # 1.486 * * * * [progress]: [ 37 / 71 ] simplifiying candidate # 1.486 * * * * [progress]: [ 38 / 71 ] simplifiying candidate #real (real->posit16 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))))> 1.486 * * * * [progress]: [ 39 / 71 ] simplifiying candidate # 1.487 * * * * [progress]: [ 40 / 71 ] simplifiying candidate # 1.487 * * * * [progress]: [ 41 / 71 ] simplifiying candidate # 1.487 * * * * [progress]: [ 42 / 71 ] simplifiying candidate # 1.487 * * * * [progress]: [ 43 / 71 ] simplifiying candidate # 1.487 * * * * [progress]: [ 44 / 71 ] simplifiying candidate # 1.487 * * * * [progress]: [ 45 / 71 ] simplifiying candidate # 1.487 * * * * [progress]: [ 46 / 71 ] simplifiying candidate # 1.487 * * * * [progress]: [ 47 / 71 ] simplifiying candidate # 1.487 * * * * [progress]: [ 48 / 71 ] simplifiying candidate # 1.487 * * * * [progress]: [ 49 / 71 ] simplifiying candidate # 1.487 * * * * [progress]: [ 50 / 71 ] simplifiying candidate # 1.487 * * * * [progress]: [ 51 / 71 ] simplifiying candidate # 1.487 * * * * [progress]: [ 52 / 71 ] simplifiying candidate # 1.487 * * * * [progress]: [ 53 / 71 ] simplifiying candidate # 1.487 * * * * [progress]: [ 54 / 71 ] simplifiying candidate # 1.488 * * * * [progress]: [ 55 / 71 ] simplifiying candidate # 1.488 * * * * [progress]: [ 56 / 71 ] simplifiying candidate # 1.488 * * * * [progress]: [ 57 / 71 ] simplifiying candidate # 1.488 * * * * [progress]: [ 58 / 71 ] simplifiying candidate #real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))> 1.488 * * * * [progress]: [ 59 / 71 ] simplifiying candidate # 1.488 * * * * [progress]: [ 60 / 71 ] simplifiying candidate # 1.488 * * * * [progress]: [ 61 / 71 ] simplifiying candidate # 1.488 * * * * [progress]: [ 62 / 71 ] simplifiying candidate # 1.488 * * * * [progress]: [ 63 / 71 ] simplifiying candidate # 1.488 * * * * [progress]: [ 64 / 71 ] simplifiying candidate # 1.488 * * * * [progress]: [ 65 / 71 ] simplifiying candidate # 1.489 * * * * [progress]: [ 66 / 71 ] simplifiying candidate # 1.489 * * * * [progress]: [ 67 / 71 ] simplifiying candidate # 1.489 * * * * [progress]: [ 68 / 71 ] simplifiying candidate # 1.489 * * * * [progress]: [ 69 / 71 ] simplifiying candidate # 1.489 * * * * [progress]: [ 70 / 71 ] simplifiying candidate # 1.489 * * * * [progress]: [ 71 / 71 ] simplifiying candidate # 1.490 * [simplify]: Simplifying: (* (cos lambda1) (cos (- lambda2))) (* (sin lambda1) (sin (- lambda2))) (* (cos lambda1) (cos (- lambda2))) (* (sin lambda1) (sin (- lambda2))) (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)) (log (cos (- lambda1 lambda2))) (exp (cos (- lambda1 lambda2))) (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2)))) (cbrt (cos (- lambda1 lambda2))) (* (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))) (real->posit16 (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)))))) (real->posit16 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (log R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (* R R) R)) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) 1) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (real->posit16 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (+ (log (sin phi1)) (log (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (* (sin phi1) 1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (real->posit16 (* (sin phi1) (sin phi2))) (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2))) (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2)) (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) (* phi1 phi2) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 1.493 * * [simplify]: iteration 0: 115 enodes 1.536 * * [simplify]: iteration 1: 211 enodes 1.615 * * [simplify]: iteration 2: 432 enodes 1.823 * * [simplify]: iteration 3: 1060 enodes 2.222 * * [simplify]: iteration complete: 2001 enodes 2.222 * * [simplify]: Extracting #0: cost 51 inf + 0 2.223 * * [simplify]: Extracting #1: cost 276 inf + 0 2.226 * * [simplify]: Extracting #2: cost 486 inf + 3257 2.236 * * [simplify]: Extracting #3: cost 365 inf + 33387 2.247 * * [simplify]: Extracting #4: cost 248 inf + 55448 2.262 * * [simplify]: Extracting #5: cost 143 inf + 118879 2.303 * * [simplify]: Extracting #6: cost 7 inf + 216468 2.348 * * [simplify]: Extracting #7: cost 0 inf + 221971 2.387 * [simplify]: Simplified to: (* (cos lambda1) (cos lambda2)) (* (sin (- lambda2)) (sin lambda1)) (* (cos lambda1) (cos lambda2)) (* (sin (- lambda2)) (sin lambda1)) (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)) (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))) (real->posit16 (cos (- lambda1 lambda2))) (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) (log (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (* (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))))) (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (* (* (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (real->posit16 (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (log (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))))) (log (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))))) (exp (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))))) (* (* (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))))) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))))) (* (cbrt (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))))) (cbrt (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))))) (cbrt (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))))) (* (* (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))))) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))))) (sqrt (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))))) (sqrt (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))))) (* (sqrt R) (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))))) (* (sqrt R) (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))))) (* (cbrt R) (* (cbrt R) (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))))) (* (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) (sqrt R)) (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) (* (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) R) (* (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) R) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (real->posit16 (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))))) (- (cos (- phi1 phi2)) (cos (+ phi2 phi1))) (* (sin phi2) (sin phi1)) (log (* (sin phi2) (sin phi1))) (log (* (sin phi2) (sin phi1))) (exp (* (sin phi2) (sin phi1))) (* (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1))) (* (sin phi2) (sin phi1))) (* (cbrt (* (sin phi2) (sin phi1))) (cbrt (* (sin phi2) (sin phi1)))) (cbrt (* (sin phi2) (sin phi1))) (* (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1))) (* (sin phi2) (sin phi1))) (sqrt (* (sin phi2) (sin phi1))) (sqrt (* (sin phi2) (sin phi1))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (* (cbrt (sin phi2)) (sin phi1)) (cbrt (sin phi2))) (* (sqrt (sin phi2)) (sin phi1)) (sin phi1) (* (sin phi2) (cbrt (sin phi1))) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi2) (sin phi1)) (real->posit16 (* (sin phi2) (sin phi1))) (+ 1 (* lambda1 (- lambda2 (* 1/2 lambda1)))) (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2)) (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (* phi2 phi1) (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1)) 2.392 * * * [progress]: adding candidates to table 3.043 * * [progress]: iteration 2 / 4 3.043 * * * [progress]: picking best candidate 3.190 * * * * [pick]: Picked # 3.190 * * * [progress]: localizing error 3.298 * * * [progress]: generating rewritten candidates 3.298 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 3.302 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 3.313 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 3.334 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 2 2) 3.357 * * * [progress]: generating series expansions 3.357 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 3.358 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 3.358 * [approximate]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 3.358 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 3.359 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 3.359 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 3.359 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 3.360 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 3.360 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 3.360 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 3.361 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 3.361 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 3.361 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 3.361 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 3.362 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 3.362 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 3.363 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 3.363 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 3.363 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 3.364 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 3.364 * [taylor]: Taking taylor expansion of 0 in phi2 3.364 * [backup-simplify]: Simplify 0 into 0 3.364 * [taylor]: Taking taylor expansion of 0 in lambda1 3.364 * [backup-simplify]: Simplify 0 into 0 3.364 * [taylor]: Taking taylor expansion of 0 in lambda2 3.364 * [backup-simplify]: Simplify 0 into 0 3.364 * [backup-simplify]: Simplify 0 into 0 3.364 * [taylor]: Taking taylor expansion of 0 in lambda1 3.364 * [backup-simplify]: Simplify 0 into 0 3.364 * [taylor]: Taking taylor expansion of 0 in lambda2 3.364 * [backup-simplify]: Simplify 0 into 0 3.364 * [backup-simplify]: Simplify 0 into 0 3.364 * [taylor]: Taking taylor expansion of 0 in lambda2 3.364 * [backup-simplify]: Simplify 0 into 0 3.364 * [backup-simplify]: Simplify 0 into 0 3.364 * [backup-simplify]: Simplify 0 into 0 3.364 * [taylor]: Taking taylor expansion of 0 in phi2 3.364 * [backup-simplify]: Simplify 0 into 0 3.364 * [taylor]: Taking taylor expansion of 0 in lambda1 3.364 * [backup-simplify]: Simplify 0 into 0 3.364 * [taylor]: Taking taylor expansion of 0 in lambda2 3.364 * [backup-simplify]: Simplify 0 into 0 3.364 * [backup-simplify]: Simplify 0 into 0 3.365 * [taylor]: Taking taylor expansion of 0 in lambda1 3.365 * [backup-simplify]: Simplify 0 into 0 3.365 * [taylor]: Taking taylor expansion of 0 in lambda2 3.365 * [backup-simplify]: Simplify 0 into 0 3.365 * [backup-simplify]: Simplify 0 into 0 3.365 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 3.366 * [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 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 3.366 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0 3.366 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2 3.367 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 3.367 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1 3.367 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 3.368 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2 3.368 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 3.368 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1 3.369 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 3.369 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1 3.370 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 3.370 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2 3.371 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 3.371 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1 3.372 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 3.372 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2 3.372 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 3.373 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 3.373 * [taylor]: Taking taylor expansion of 0 in phi2 3.373 * [backup-simplify]: Simplify 0 into 0 3.373 * [taylor]: Taking taylor expansion of 0 in lambda1 3.373 * [backup-simplify]: Simplify 0 into 0 3.374 * [taylor]: Taking taylor expansion of 0 in lambda2 3.374 * [backup-simplify]: Simplify 0 into 0 3.374 * [backup-simplify]: Simplify 0 into 0 3.374 * [taylor]: Taking taylor expansion of 0 in lambda1 3.374 * [backup-simplify]: Simplify 0 into 0 3.374 * [taylor]: Taking taylor expansion of 0 in lambda2 3.374 * [backup-simplify]: Simplify 0 into 0 3.374 * [backup-simplify]: Simplify 0 into 0 3.374 * [taylor]: Taking taylor expansion of 0 in lambda2 3.374 * [backup-simplify]: Simplify 0 into 0 3.374 * [backup-simplify]: Simplify 0 into 0 3.374 * [backup-simplify]: Simplify 0 into 0 3.374 * [taylor]: Taking taylor expansion of 0 in phi2 3.374 * [backup-simplify]: Simplify 0 into 0 3.374 * [taylor]: Taking taylor expansion of 0 in lambda1 3.374 * [backup-simplify]: Simplify 0 into 0 3.374 * [taylor]: Taking taylor expansion of 0 in lambda2 3.374 * [backup-simplify]: Simplify 0 into 0 3.374 * [backup-simplify]: Simplify 0 into 0 3.374 * [taylor]: Taking taylor expansion of 0 in lambda1 3.374 * [backup-simplify]: Simplify 0 into 0 3.374 * [taylor]: Taking taylor expansion of 0 in lambda2 3.374 * [backup-simplify]: Simplify 0 into 0 3.374 * [backup-simplify]: Simplify 0 into 0 3.375 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1))))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 3.376 * [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)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 3.376 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 3.376 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2 3.377 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 3.377 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 3.378 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 3.378 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2 3.378 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 3.379 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 3.379 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 3.379 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 3.380 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 3.380 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in phi2 3.381 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 3.381 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 3.382 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 3.382 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in lambda2 3.383 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 3.384 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 3.384 * [taylor]: Taking taylor expansion of 0 in phi2 3.384 * [backup-simplify]: Simplify 0 into 0 3.384 * [taylor]: Taking taylor expansion of 0 in lambda1 3.384 * [backup-simplify]: Simplify 0 into 0 3.384 * [taylor]: Taking taylor expansion of 0 in lambda2 3.384 * [backup-simplify]: Simplify 0 into 0 3.384 * [backup-simplify]: Simplify 0 into 0 3.384 * [taylor]: Taking taylor expansion of 0 in lambda1 3.384 * [backup-simplify]: Simplify 0 into 0 3.384 * [taylor]: Taking taylor expansion of 0 in lambda2 3.384 * [backup-simplify]: Simplify 0 into 0 3.384 * [backup-simplify]: Simplify 0 into 0 3.384 * [taylor]: Taking taylor expansion of 0 in lambda2 3.384 * [backup-simplify]: Simplify 0 into 0 3.384 * [backup-simplify]: Simplify 0 into 0 3.384 * [backup-simplify]: Simplify 0 into 0 3.384 * [taylor]: Taking taylor expansion of 0 in phi2 3.384 * [backup-simplify]: Simplify 0 into 0 3.384 * [taylor]: Taking taylor expansion of 0 in lambda1 3.384 * [backup-simplify]: Simplify 0 into 0 3.384 * [taylor]: Taking taylor expansion of 0 in lambda2 3.384 * [backup-simplify]: Simplify 0 into 0 3.384 * [backup-simplify]: Simplify 0 into 0 3.384 * [taylor]: Taking taylor expansion of 0 in lambda1 3.384 * [backup-simplify]: Simplify 0 into 0 3.384 * [taylor]: Taking taylor expansion of 0 in lambda2 3.384 * [backup-simplify]: Simplify 0 into 0 3.385 * [backup-simplify]: Simplify 0 into 0 3.386 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- lambda2)))) (cos (/ -1 (/ 1 (- phi2)))))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 3.386 * * * * [progress]: [ 2 / 4 ] generating series at (2) 3.386 * [backup-simplify]: Simplify (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 3.386 * [approximate]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in (phi1 phi2 lambda1 lambda2 R) around 0 3.386 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in R 3.386 * [taylor]: Taking taylor expansion of R in R 3.386 * [backup-simplify]: Simplify 0 into 0 3.386 * [backup-simplify]: Simplify 1 into 1 3.386 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in R 3.387 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 3.387 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2 3.387 * [taylor]: Taking taylor expansion of R in lambda2 3.387 * [backup-simplify]: Simplify R into R 3.387 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 3.388 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 3.388 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1 3.388 * [taylor]: Taking taylor expansion of R in lambda1 3.388 * [backup-simplify]: Simplify R into R 3.388 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 3.388 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 3.388 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2 3.388 * [taylor]: Taking taylor expansion of R in phi2 3.388 * [backup-simplify]: Simplify R into R 3.388 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 3.389 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 3.389 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1 3.389 * [taylor]: Taking taylor expansion of R in phi1 3.389 * [backup-simplify]: Simplify R into R 3.389 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 3.390 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 3.390 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1 3.390 * [taylor]: Taking taylor expansion of R in phi1 3.390 * [backup-simplify]: Simplify R into R 3.390 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 3.390 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 3.391 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 3.391 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2 3.391 * [taylor]: Taking taylor expansion of R in phi2 3.391 * [backup-simplify]: Simplify R into R 3.391 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 3.392 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 3.393 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 3.393 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1 3.393 * [taylor]: Taking taylor expansion of R in lambda1 3.393 * [backup-simplify]: Simplify R into R 3.393 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 3.393 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 3.394 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 3.394 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2 3.394 * [taylor]: Taking taylor expansion of R in lambda2 3.394 * [backup-simplify]: Simplify R into R 3.394 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 3.395 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 3.395 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 3.395 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in R 3.395 * [taylor]: Taking taylor expansion of R in R 3.395 * [backup-simplify]: Simplify 0 into 0 3.395 * [backup-simplify]: Simplify 1 into 1 3.395 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in R 3.396 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 3.396 * [backup-simplify]: Simplify (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into 0 3.397 * [backup-simplify]: Simplify 0 into 0 3.397 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0 3.397 * [taylor]: Taking taylor expansion of 0 in phi2 3.397 * [backup-simplify]: Simplify 0 into 0 3.397 * [taylor]: Taking taylor expansion of 0 in lambda1 3.397 * [backup-simplify]: Simplify 0 into 0 3.397 * [taylor]: Taking taylor expansion of 0 in lambda2 3.397 * [backup-simplify]: Simplify 0 into 0 3.397 * [taylor]: Taking taylor expansion of 0 in R 3.397 * [backup-simplify]: Simplify 0 into 0 3.397 * [backup-simplify]: Simplify 0 into 0 3.398 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0 3.398 * [taylor]: Taking taylor expansion of 0 in lambda1 3.398 * [backup-simplify]: Simplify 0 into 0 3.398 * [taylor]: Taking taylor expansion of 0 in lambda2 3.398 * [backup-simplify]: Simplify 0 into 0 3.398 * [taylor]: Taking taylor expansion of 0 in R 3.398 * [backup-simplify]: Simplify 0 into 0 3.398 * [backup-simplify]: Simplify 0 into 0 3.399 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0 3.399 * [taylor]: Taking taylor expansion of 0 in lambda2 3.399 * [backup-simplify]: Simplify 0 into 0 3.399 * [taylor]: Taking taylor expansion of 0 in R 3.399 * [backup-simplify]: Simplify 0 into 0 3.399 * [backup-simplify]: Simplify 0 into 0 3.400 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0 3.400 * [taylor]: Taking taylor expansion of 0 in R 3.400 * [backup-simplify]: Simplify 0 into 0 3.400 * [backup-simplify]: Simplify 0 into 0 3.401 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 3.402 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 3.403 * [backup-simplify]: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0 3.403 * [taylor]: Taking taylor expansion of 0 in phi2 3.403 * [backup-simplify]: Simplify 0 into 0 3.403 * [taylor]: Taking taylor expansion of 0 in lambda1 3.403 * [backup-simplify]: Simplify 0 into 0 3.403 * [taylor]: Taking taylor expansion of 0 in lambda2 3.403 * [backup-simplify]: Simplify 0 into 0 3.403 * [taylor]: Taking taylor expansion of 0 in R 3.403 * [backup-simplify]: Simplify 0 into 0 3.403 * [backup-simplify]: Simplify 0 into 0 3.403 * [taylor]: Taking taylor expansion of 0 in lambda1 3.403 * [backup-simplify]: Simplify 0 into 0 3.403 * [taylor]: Taking taylor expansion of 0 in lambda2 3.403 * [backup-simplify]: Simplify 0 into 0 3.403 * [taylor]: Taking taylor expansion of 0 in R 3.403 * [backup-simplify]: Simplify 0 into 0 3.403 * [backup-simplify]: Simplify 0 into 0 3.405 * [backup-simplify]: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0 3.405 * [taylor]: Taking taylor expansion of 0 in lambda1 3.405 * [backup-simplify]: Simplify 0 into 0 3.405 * [taylor]: Taking taylor expansion of 0 in lambda2 3.405 * [backup-simplify]: Simplify 0 into 0 3.405 * [taylor]: Taking taylor expansion of 0 in R 3.405 * [backup-simplify]: Simplify 0 into 0 3.405 * [backup-simplify]: Simplify 0 into 0 3.405 * [taylor]: Taking taylor expansion of 0 in lambda2 3.405 * [backup-simplify]: Simplify 0 into 0 3.405 * [taylor]: Taking taylor expansion of 0 in R 3.405 * [backup-simplify]: Simplify 0 into 0 3.405 * [backup-simplify]: Simplify 0 into 0 3.405 * [taylor]: Taking taylor expansion of 0 in lambda2 3.405 * [backup-simplify]: Simplify 0 into 0 3.405 * [taylor]: Taking taylor expansion of 0 in R 3.405 * [backup-simplify]: Simplify 0 into 0 3.405 * [backup-simplify]: Simplify 0 into 0 3.409 * [backup-simplify]: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0 3.409 * [taylor]: Taking taylor expansion of 0 in lambda2 3.409 * [backup-simplify]: Simplify 0 into 0 3.409 * [taylor]: Taking taylor expansion of 0 in R 3.409 * [backup-simplify]: Simplify 0 into 0 3.409 * [backup-simplify]: Simplify 0 into 0 3.411 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (* R (* 1 (* 1 (* 1 1))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 3.411 * [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 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 3.411 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 3.411 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in R 3.411 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in R 3.412 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 3.412 * [taylor]: Taking taylor expansion of R in R 3.412 * [backup-simplify]: Simplify 0 into 0 3.412 * [backup-simplify]: Simplify 1 into 1 3.413 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 1) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 3.413 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda2 3.413 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2 3.414 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 3.414 * [taylor]: Taking taylor expansion of R in lambda2 3.414 * [backup-simplify]: Simplify R into R 3.415 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 3.415 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda1 3.415 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1 3.416 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 3.416 * [taylor]: Taking taylor expansion of R in lambda1 3.416 * [backup-simplify]: Simplify R into R 3.417 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 3.417 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi2 3.417 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2 3.417 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 3.418 * [taylor]: Taking taylor expansion of R in phi2 3.418 * [backup-simplify]: Simplify R into R 3.418 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 3.418 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi1 3.418 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1 3.419 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 3.419 * [taylor]: Taking taylor expansion of R in phi1 3.419 * [backup-simplify]: Simplify R into R 3.420 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 3.420 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi1 3.420 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1 3.421 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 3.421 * [taylor]: Taking taylor expansion of R in phi1 3.421 * [backup-simplify]: Simplify R into R 3.422 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 3.422 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi2 3.422 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2 3.423 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 3.423 * [taylor]: Taking taylor expansion of R in phi2 3.423 * [backup-simplify]: Simplify R into R 3.424 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 3.424 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda1 3.424 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1 3.424 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 3.425 * [taylor]: Taking taylor expansion of R in lambda1 3.425 * [backup-simplify]: Simplify R into R 3.425 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 3.425 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda2 3.425 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2 3.426 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 3.426 * [taylor]: Taking taylor expansion of R in lambda2 3.426 * [backup-simplify]: Simplify R into R 3.427 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 3.427 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in R 3.427 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in R 3.428 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 3.428 * [taylor]: Taking taylor expansion of R in R 3.428 * [backup-simplify]: Simplify 0 into 0 3.428 * [backup-simplify]: Simplify 1 into 1 3.429 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 1) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 3.430 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 3.431 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0 3.431 * [taylor]: Taking taylor expansion of 0 in phi2 3.431 * [backup-simplify]: Simplify 0 into 0 3.431 * [taylor]: Taking taylor expansion of 0 in lambda1 3.431 * [backup-simplify]: Simplify 0 into 0 3.431 * [taylor]: Taking taylor expansion of 0 in lambda2 3.431 * [backup-simplify]: Simplify 0 into 0 3.431 * [taylor]: Taking taylor expansion of 0 in R 3.431 * [backup-simplify]: Simplify 0 into 0 3.432 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0 3.432 * [taylor]: Taking taylor expansion of 0 in lambda1 3.432 * [backup-simplify]: Simplify 0 into 0 3.432 * [taylor]: Taking taylor expansion of 0 in lambda2 3.432 * [backup-simplify]: Simplify 0 into 0 3.432 * [taylor]: Taking taylor expansion of 0 in R 3.432 * [backup-simplify]: Simplify 0 into 0 3.433 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0 3.433 * [taylor]: Taking taylor expansion of 0 in lambda2 3.433 * [backup-simplify]: Simplify 0 into 0 3.433 * [taylor]: Taking taylor expansion of 0 in R 3.433 * [backup-simplify]: Simplify 0 into 0 3.434 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0 3.434 * [taylor]: Taking taylor expansion of 0 in R 3.434 * [backup-simplify]: Simplify 0 into 0 3.436 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) (/ 0 1)))) into 0 3.436 * [backup-simplify]: Simplify 0 into 0 3.437 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 3.438 * [taylor]: Taking taylor expansion of 0 in phi2 3.438 * [backup-simplify]: Simplify 0 into 0 3.438 * [taylor]: Taking taylor expansion of 0 in lambda1 3.438 * [backup-simplify]: Simplify 0 into 0 3.438 * [taylor]: Taking taylor expansion of 0 in lambda2 3.438 * [backup-simplify]: Simplify 0 into 0 3.438 * [taylor]: Taking taylor expansion of 0 in R 3.438 * [backup-simplify]: Simplify 0 into 0 3.438 * [taylor]: Taking taylor expansion of 0 in lambda1 3.438 * [backup-simplify]: Simplify 0 into 0 3.438 * [taylor]: Taking taylor expansion of 0 in lambda2 3.438 * [backup-simplify]: Simplify 0 into 0 3.438 * [taylor]: Taking taylor expansion of 0 in R 3.438 * [backup-simplify]: Simplify 0 into 0 3.439 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 3.439 * [taylor]: Taking taylor expansion of 0 in lambda1 3.439 * [backup-simplify]: Simplify 0 into 0 3.439 * [taylor]: Taking taylor expansion of 0 in lambda2 3.439 * [backup-simplify]: Simplify 0 into 0 3.439 * [taylor]: Taking taylor expansion of 0 in R 3.439 * [backup-simplify]: Simplify 0 into 0 3.439 * [taylor]: Taking taylor expansion of 0 in lambda2 3.439 * [backup-simplify]: Simplify 0 into 0 3.439 * [taylor]: Taking taylor expansion of 0 in R 3.439 * [backup-simplify]: Simplify 0 into 0 3.439 * [taylor]: Taking taylor expansion of 0 in lambda2 3.439 * [backup-simplify]: Simplify 0 into 0 3.439 * [taylor]: Taking taylor expansion of 0 in R 3.439 * [backup-simplify]: Simplify 0 into 0 3.440 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 3.440 * [taylor]: Taking taylor expansion of 0 in lambda2 3.440 * [backup-simplify]: Simplify 0 into 0 3.441 * [taylor]: Taking taylor expansion of 0 in R 3.441 * [backup-simplify]: Simplify 0 into 0 3.441 * [taylor]: Taking taylor expansion of 0 in R 3.441 * [backup-simplify]: Simplify 0 into 0 3.441 * [taylor]: Taking taylor expansion of 0 in R 3.441 * [backup-simplify]: Simplify 0 into 0 3.441 * [taylor]: Taking taylor expansion of 0 in R 3.441 * [backup-simplify]: Simplify 0 into 0 3.442 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 3.442 * [taylor]: Taking taylor expansion of 0 in R 3.442 * [backup-simplify]: Simplify 0 into 0 3.442 * [backup-simplify]: Simplify 0 into 0 3.442 * [backup-simplify]: Simplify 0 into 0 3.442 * [backup-simplify]: Simplify 0 into 0 3.442 * [backup-simplify]: Simplify 0 into 0 3.445 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.445 * [backup-simplify]: Simplify 0 into 0 3.447 * [backup-simplify]: Simplify (* (acos (+ (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1))))))))) (* (/ 1 (/ 1 R)) (* 1 (* 1 (* 1 1))))) into (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) 3.447 * [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)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) 3.448 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 3.448 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in R 3.448 * [taylor]: Taking taylor expansion of -1 in R 3.448 * [backup-simplify]: Simplify -1 into -1 3.448 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in R 3.448 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in R 3.448 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 3.449 * [taylor]: Taking taylor expansion of R in R 3.449 * [backup-simplify]: Simplify 0 into 0 3.449 * [backup-simplify]: Simplify 1 into 1 3.449 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 1) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 3.449 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in lambda2 3.450 * [taylor]: Taking taylor expansion of -1 in lambda2 3.450 * [backup-simplify]: Simplify -1 into -1 3.450 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in lambda2 3.450 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2 3.450 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 3.450 * [taylor]: Taking taylor expansion of R in lambda2 3.450 * [backup-simplify]: Simplify R into R 3.451 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 3.451 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in lambda1 3.451 * [taylor]: Taking taylor expansion of -1 in lambda1 3.451 * [backup-simplify]: Simplify -1 into -1 3.451 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in lambda1 3.451 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 3.452 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 3.452 * [taylor]: Taking taylor expansion of R in lambda1 3.452 * [backup-simplify]: Simplify R into R 3.453 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 3.453 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in phi2 3.453 * [taylor]: Taking taylor expansion of -1 in phi2 3.453 * [backup-simplify]: Simplify -1 into -1 3.453 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in phi2 3.453 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2 3.454 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 3.454 * [taylor]: Taking taylor expansion of R in phi2 3.454 * [backup-simplify]: Simplify R into R 3.455 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 3.455 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in phi1 3.455 * [taylor]: Taking taylor expansion of -1 in phi1 3.455 * [backup-simplify]: Simplify -1 into -1 3.455 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in phi1 3.455 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 3.456 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 3.456 * [taylor]: Taking taylor expansion of R in phi1 3.456 * [backup-simplify]: Simplify R into R 3.457 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 3.457 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in phi1 3.457 * [taylor]: Taking taylor expansion of -1 in phi1 3.457 * [backup-simplify]: Simplify -1 into -1 3.457 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in phi1 3.457 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 3.458 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 3.458 * [taylor]: Taking taylor expansion of R in phi1 3.458 * [backup-simplify]: Simplify R into R 3.459 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 3.460 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) 3.460 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) in phi2 3.460 * [taylor]: Taking taylor expansion of -1 in phi2 3.460 * [backup-simplify]: Simplify -1 into -1 3.460 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) in phi2 3.460 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in phi2 3.461 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 3.461 * [taylor]: Taking taylor expansion of R in phi2 3.461 * [backup-simplify]: Simplify R into R 3.462 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) 3.462 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) 3.463 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in lambda1 3.463 * [taylor]: Taking taylor expansion of -1 in lambda1 3.463 * [backup-simplify]: Simplify -1 into -1 3.463 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in lambda1 3.463 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 3.463 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 3.464 * [taylor]: Taking taylor expansion of R in lambda1 3.464 * [backup-simplify]: Simplify R into R 3.464 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 3.465 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) 3.465 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) in lambda2 3.465 * [taylor]: Taking taylor expansion of -1 in lambda2 3.465 * [backup-simplify]: Simplify -1 into -1 3.465 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) in lambda2 3.465 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in lambda2 3.466 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 3.466 * [taylor]: Taking taylor expansion of R in lambda2 3.466 * [backup-simplify]: Simplify R into R 3.467 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) 3.468 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) 3.468 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in R 3.468 * [taylor]: Taking taylor expansion of -1 in R 3.468 * [backup-simplify]: Simplify -1 into -1 3.468 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in R 3.468 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in R 3.468 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 3.469 * [taylor]: Taking taylor expansion of R in R 3.469 * [backup-simplify]: Simplify 0 into 0 3.469 * [backup-simplify]: Simplify 1 into 1 3.469 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 1) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 3.469 * [backup-simplify]: Simplify (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) into (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) 3.470 * [backup-simplify]: Simplify (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) 3.470 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)))) into 0 3.471 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R))) into 0 3.471 * [taylor]: Taking taylor expansion of 0 in phi2 3.471 * [backup-simplify]: Simplify 0 into 0 3.471 * [taylor]: Taking taylor expansion of 0 in lambda1 3.472 * [backup-simplify]: Simplify 0 into 0 3.472 * [taylor]: Taking taylor expansion of 0 in lambda2 3.472 * [backup-simplify]: Simplify 0 into 0 3.472 * [taylor]: Taking taylor expansion of 0 in R 3.472 * [backup-simplify]: Simplify 0 into 0 3.472 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)))) into 0 3.473 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R))) into 0 3.473 * [taylor]: Taking taylor expansion of 0 in lambda1 3.473 * [backup-simplify]: Simplify 0 into 0 3.473 * [taylor]: Taking taylor expansion of 0 in lambda2 3.473 * [backup-simplify]: Simplify 0 into 0 3.473 * [taylor]: Taking taylor expansion of 0 in R 3.473 * [backup-simplify]: Simplify 0 into 0 3.474 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)))) into 0 3.474 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R))) into 0 3.474 * [taylor]: Taking taylor expansion of 0 in lambda2 3.474 * [backup-simplify]: Simplify 0 into 0 3.475 * [taylor]: Taking taylor expansion of 0 in R 3.475 * [backup-simplify]: Simplify 0 into 0 3.475 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)))) into 0 3.476 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R))) into 0 3.476 * [taylor]: Taking taylor expansion of 0 in R 3.476 * [backup-simplify]: Simplify 0 into 0 3.477 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) (/ 0 1)))) into 0 3.478 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))) into 0 3.478 * [backup-simplify]: Simplify 0 into 0 3.478 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 3.479 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)))) into 0 3.479 * [taylor]: Taking taylor expansion of 0 in phi2 3.479 * [backup-simplify]: Simplify 0 into 0 3.480 * [taylor]: Taking taylor expansion of 0 in lambda1 3.480 * [backup-simplify]: Simplify 0 into 0 3.480 * [taylor]: Taking taylor expansion of 0 in lambda2 3.480 * [backup-simplify]: Simplify 0 into 0 3.480 * [taylor]: Taking taylor expansion of 0 in R 3.480 * [backup-simplify]: Simplify 0 into 0 3.480 * [taylor]: Taking taylor expansion of 0 in lambda1 3.480 * [backup-simplify]: Simplify 0 into 0 3.480 * [taylor]: Taking taylor expansion of 0 in lambda2 3.480 * [backup-simplify]: Simplify 0 into 0 3.480 * [taylor]: Taking taylor expansion of 0 in R 3.480 * [backup-simplify]: Simplify 0 into 0 3.480 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 3.481 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)))) into 0 3.481 * [taylor]: Taking taylor expansion of 0 in lambda1 3.481 * [backup-simplify]: Simplify 0 into 0 3.481 * [taylor]: Taking taylor expansion of 0 in lambda2 3.481 * [backup-simplify]: Simplify 0 into 0 3.481 * [taylor]: Taking taylor expansion of 0 in R 3.481 * [backup-simplify]: Simplify 0 into 0 3.481 * [taylor]: Taking taylor expansion of 0 in lambda2 3.481 * [backup-simplify]: Simplify 0 into 0 3.481 * [taylor]: Taking taylor expansion of 0 in R 3.481 * [backup-simplify]: Simplify 0 into 0 3.481 * [taylor]: Taking taylor expansion of 0 in lambda2 3.481 * [backup-simplify]: Simplify 0 into 0 3.482 * [taylor]: Taking taylor expansion of 0 in R 3.482 * [backup-simplify]: Simplify 0 into 0 3.482 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 3.483 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)))) into 0 3.483 * [taylor]: Taking taylor expansion of 0 in lambda2 3.483 * [backup-simplify]: Simplify 0 into 0 3.483 * [taylor]: Taking taylor expansion of 0 in R 3.483 * [backup-simplify]: Simplify 0 into 0 3.483 * [taylor]: Taking taylor expansion of 0 in R 3.483 * [backup-simplify]: Simplify 0 into 0 3.483 * [taylor]: Taking taylor expansion of 0 in R 3.483 * [backup-simplify]: Simplify 0 into 0 3.483 * [taylor]: Taking taylor expansion of 0 in R 3.483 * [backup-simplify]: Simplify 0 into 0 3.484 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 3.485 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)))) into 0 3.485 * [taylor]: Taking taylor expansion of 0 in R 3.485 * [backup-simplify]: Simplify 0 into 0 3.485 * [backup-simplify]: Simplify 0 into 0 3.485 * [backup-simplify]: Simplify 0 into 0 3.485 * [backup-simplify]: Simplify 0 into 0 3.485 * [backup-simplify]: Simplify 0 into 0 3.487 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.488 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))))) into 0 3.488 * [backup-simplify]: Simplify 0 into 0 3.489 * [backup-simplify]: Simplify (* (* -1 (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2))))))))))) (* (/ 1 (/ 1 (- R))) (* 1 (* 1 (* 1 1))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 3.489 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 3.489 * [backup-simplify]: Simplify (* (sin phi1) (sin phi2)) into (* (sin phi1) (sin phi2)) 3.489 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 3.489 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 3.489 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 3.489 * [taylor]: Taking taylor expansion of phi1 in phi2 3.489 * [backup-simplify]: Simplify phi1 into phi1 3.489 * [backup-simplify]: Simplify (sin phi1) into (sin phi1) 3.489 * [backup-simplify]: Simplify (cos phi1) into (cos phi1) 3.489 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 3.489 * [taylor]: Taking taylor expansion of phi2 in phi2 3.489 * [backup-simplify]: Simplify 0 into 0 3.489 * [backup-simplify]: Simplify 1 into 1 3.489 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 3.489 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 3.489 * [taylor]: Taking taylor expansion of phi1 in phi1 3.489 * [backup-simplify]: Simplify 0 into 0 3.489 * [backup-simplify]: Simplify 1 into 1 3.489 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 3.489 * [taylor]: Taking taylor expansion of phi2 in phi1 3.489 * [backup-simplify]: Simplify phi2 into phi2 3.489 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 3.489 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 3.489 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 3.489 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 3.489 * [taylor]: Taking taylor expansion of phi1 in phi1 3.489 * [backup-simplify]: Simplify 0 into 0 3.489 * [backup-simplify]: Simplify 1 into 1 3.489 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 3.489 * [taylor]: Taking taylor expansion of phi2 in phi1 3.489 * [backup-simplify]: Simplify phi2 into phi2 3.489 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 3.489 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 3.489 * [backup-simplify]: Simplify (* (sin phi2) 1) into (sin phi2) 3.490 * [backup-simplify]: Simplify (* (cos phi2) 0) into 0 3.490 * [backup-simplify]: Simplify (+ (sin phi2) 0) into (sin phi2) 3.490 * [backup-simplify]: Simplify (* 0 (sin phi2)) into 0 3.490 * [taylor]: Taking taylor expansion of 0 in phi2 3.490 * [backup-simplify]: Simplify 0 into 0 3.490 * [backup-simplify]: Simplify 0 into 0 3.490 * [backup-simplify]: Simplify (+ 0) into 0 3.490 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (* 0 1)) into 0 3.491 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.491 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (* 0 0)) into 0 3.491 * [backup-simplify]: Simplify (+ 0 0) into 0 3.492 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 3.492 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin phi2))) into (sin phi2) 3.492 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 3.492 * [taylor]: Taking taylor expansion of phi2 in phi2 3.492 * [backup-simplify]: Simplify 0 into 0 3.492 * [backup-simplify]: Simplify 1 into 1 3.492 * [backup-simplify]: Simplify 0 into 0 3.492 * [backup-simplify]: Simplify 0 into 0 3.493 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.493 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (* 0 1))) into 0 3.494 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.494 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* 0 0))) into 0 3.494 * [backup-simplify]: Simplify (+ 0 0) into 0 3.495 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.495 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin phi2)))) into 0 3.495 * [taylor]: Taking taylor expansion of 0 in phi2 3.495 * [backup-simplify]: Simplify 0 into 0 3.495 * [backup-simplify]: Simplify 0 into 0 3.496 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 3.496 * [backup-simplify]: Simplify 1 into 1 3.496 * [backup-simplify]: Simplify 0 into 0 3.496 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.497 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.499 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 3.500 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 3.500 * [backup-simplify]: Simplify (+ 0 0) into 0 3.502 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 3.503 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin phi2))))) into (- (* 1/6 (sin phi2))) 3.503 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 3.503 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 3.503 * [taylor]: Taking taylor expansion of 1/6 in phi2 3.503 * [backup-simplify]: Simplify 1/6 into 1/6 3.503 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 3.503 * [taylor]: Taking taylor expansion of phi2 in phi2 3.503 * [backup-simplify]: Simplify 0 into 0 3.503 * [backup-simplify]: Simplify 1 into 1 3.504 * [backup-simplify]: Simplify (* 1/6 0) into 0 3.504 * [backup-simplify]: Simplify (- 0) into 0 3.504 * [backup-simplify]: Simplify 0 into 0 3.504 * [backup-simplify]: Simplify 0 into 0 3.505 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.505 * [backup-simplify]: Simplify 0 into 0 3.505 * [backup-simplify]: Simplify 0 into 0 3.507 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 3.508 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.510 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 3.510 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 3.511 * [backup-simplify]: Simplify (+ 0 0) into 0 3.512 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 3.514 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin phi2)))))) into 0 3.514 * [taylor]: Taking taylor expansion of 0 in phi2 3.514 * [backup-simplify]: Simplify 0 into 0 3.514 * [backup-simplify]: Simplify 0 into 0 3.514 * [backup-simplify]: Simplify (* 1 (* phi2 phi1)) into (* phi1 phi2) 3.514 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 3.514 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in (phi1 phi2) around 0 3.514 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2 3.514 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 3.514 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 3.514 * [taylor]: Taking taylor expansion of phi2 in phi2 3.514 * [backup-simplify]: Simplify 0 into 0 3.514 * [backup-simplify]: Simplify 1 into 1 3.515 * [backup-simplify]: Simplify (/ 1 1) into 1 3.515 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 3.515 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 3.515 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 3.515 * [taylor]: Taking taylor expansion of phi1 in phi2 3.515 * [backup-simplify]: Simplify phi1 into phi1 3.515 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 3.515 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 3.515 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 3.515 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1 3.515 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 3.515 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 3.515 * [taylor]: Taking taylor expansion of phi2 in phi1 3.515 * [backup-simplify]: Simplify phi2 into phi2 3.515 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 3.515 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 3.515 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 3.515 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 3.515 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 3.515 * [taylor]: Taking taylor expansion of phi1 in phi1 3.515 * [backup-simplify]: Simplify 0 into 0 3.515 * [backup-simplify]: Simplify 1 into 1 3.516 * [backup-simplify]: Simplify (/ 1 1) into 1 3.516 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 3.516 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1 3.516 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 3.516 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 3.516 * [taylor]: Taking taylor expansion of phi2 in phi1 3.516 * [backup-simplify]: Simplify phi2 into phi2 3.516 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 3.516 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 3.516 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 3.516 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 3.516 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 3.516 * [taylor]: Taking taylor expansion of phi1 in phi1 3.516 * [backup-simplify]: Simplify 0 into 0 3.516 * [backup-simplify]: Simplify 1 into 1 3.517 * [backup-simplify]: Simplify (/ 1 1) into 1 3.517 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 3.517 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 1) into (sin (/ 1 phi2)) 3.517 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 0) into 0 3.517 * [backup-simplify]: Simplify (+ (sin (/ 1 phi2)) 0) into (sin (/ 1 phi2)) 3.517 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 3.517 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2 3.517 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 3.517 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 3.517 * [taylor]: Taking taylor expansion of phi2 in phi2 3.517 * [backup-simplify]: Simplify 0 into 0 3.517 * [backup-simplify]: Simplify 1 into 1 3.518 * [backup-simplify]: Simplify (/ 1 1) into 1 3.518 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 3.518 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 3.518 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 3.518 * [taylor]: Taking taylor expansion of phi1 in phi2 3.518 * [backup-simplify]: Simplify phi1 into phi1 3.518 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 3.518 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 3.518 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 3.518 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 1) into (sin (/ 1 phi1)) 3.518 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 0) into 0 3.518 * [backup-simplify]: Simplify (+ (sin (/ 1 phi1)) 0) into (sin (/ 1 phi1)) 3.519 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 3.519 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 3.519 * [backup-simplify]: Simplify (+ 0) into 0 3.520 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 1)) into 0 3.520 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 3.520 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.521 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 0)) into 0 3.521 * [backup-simplify]: Simplify (+ 0 0) into 0 3.521 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0 3.521 * [taylor]: Taking taylor expansion of 0 in phi2 3.521 * [backup-simplify]: Simplify 0 into 0 3.522 * [backup-simplify]: Simplify 0 into 0 3.522 * [backup-simplify]: Simplify (+ 0) into 0 3.787 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 1)) into 0 3.788 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 3.789 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.789 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 0)) into 0 3.790 * [backup-simplify]: Simplify (+ 0 0) into 0 3.790 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0 3.790 * [backup-simplify]: Simplify 0 into 0 3.791 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.792 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 3.792 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 3.793 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.793 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 3.794 * [backup-simplify]: Simplify (+ 0 0) into 0 3.794 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0 3.794 * [taylor]: Taking taylor expansion of 0 in phi2 3.795 * [backup-simplify]: Simplify 0 into 0 3.795 * [backup-simplify]: Simplify 0 into 0 3.795 * [backup-simplify]: Simplify 0 into 0 3.796 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.796 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 3.797 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 3.799 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.799 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 3.800 * [backup-simplify]: Simplify (+ 0 0) into 0 3.800 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0 3.800 * [backup-simplify]: Simplify 0 into 0 3.801 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.802 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.802 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 3.804 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 3.805 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 3.805 * [backup-simplify]: Simplify (+ 0 0) into 0 3.806 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1)))))) into 0 3.806 * [taylor]: Taking taylor expansion of 0 in phi2 3.806 * [backup-simplify]: Simplify 0 into 0 3.806 * [backup-simplify]: Simplify 0 into 0 3.806 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) into (* (sin phi1) (sin phi2)) 3.807 * [backup-simplify]: Simplify (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 3.807 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 3.807 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 3.807 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 3.807 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 3.807 * [taylor]: Taking taylor expansion of -1 in phi2 3.807 * [backup-simplify]: Simplify -1 into -1 3.807 * [taylor]: Taking taylor expansion of phi1 in phi2 3.807 * [backup-simplify]: Simplify phi1 into phi1 3.807 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 3.807 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 3.807 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 3.807 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 3.807 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 3.807 * [taylor]: Taking taylor expansion of -1 in phi2 3.807 * [backup-simplify]: Simplify -1 into -1 3.807 * [taylor]: Taking taylor expansion of phi2 in phi2 3.807 * [backup-simplify]: Simplify 0 into 0 3.807 * [backup-simplify]: Simplify 1 into 1 3.808 * [backup-simplify]: Simplify (/ -1 1) into -1 3.808 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 3.808 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 3.808 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 3.808 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 3.808 * [taylor]: Taking taylor expansion of -1 in phi1 3.808 * [backup-simplify]: Simplify -1 into -1 3.808 * [taylor]: Taking taylor expansion of phi1 in phi1 3.808 * [backup-simplify]: Simplify 0 into 0 3.808 * [backup-simplify]: Simplify 1 into 1 3.809 * [backup-simplify]: Simplify (/ -1 1) into -1 3.809 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 3.809 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 3.809 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 3.809 * [taylor]: Taking taylor expansion of -1 in phi1 3.809 * [backup-simplify]: Simplify -1 into -1 3.809 * [taylor]: Taking taylor expansion of phi2 in phi1 3.809 * [backup-simplify]: Simplify phi2 into phi2 3.809 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 3.809 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 3.809 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 3.809 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 3.809 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 3.809 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 3.809 * [taylor]: Taking taylor expansion of -1 in phi1 3.809 * [backup-simplify]: Simplify -1 into -1 3.809 * [taylor]: Taking taylor expansion of phi1 in phi1 3.809 * [backup-simplify]: Simplify 0 into 0 3.809 * [backup-simplify]: Simplify 1 into 1 3.810 * [backup-simplify]: Simplify (/ -1 1) into -1 3.810 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 3.810 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 3.810 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 3.810 * [taylor]: Taking taylor expansion of -1 in phi1 3.810 * [backup-simplify]: Simplify -1 into -1 3.810 * [taylor]: Taking taylor expansion of phi2 in phi1 3.810 * [backup-simplify]: Simplify phi2 into phi2 3.810 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 3.810 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 3.810 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 3.810 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 1) into (sin (/ -1 phi2)) 3.810 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 0) into 0 3.810 * [backup-simplify]: Simplify (+ (sin (/ -1 phi2)) 0) into (sin (/ -1 phi2)) 3.811 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 3.811 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 3.811 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 3.811 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 3.811 * [taylor]: Taking taylor expansion of -1 in phi2 3.811 * [backup-simplify]: Simplify -1 into -1 3.811 * [taylor]: Taking taylor expansion of phi1 in phi2 3.811 * [backup-simplify]: Simplify phi1 into phi1 3.811 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 3.811 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 3.811 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 3.811 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 3.811 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 3.811 * [taylor]: Taking taylor expansion of -1 in phi2 3.811 * [backup-simplify]: Simplify -1 into -1 3.811 * [taylor]: Taking taylor expansion of phi2 in phi2 3.811 * [backup-simplify]: Simplify 0 into 0 3.811 * [backup-simplify]: Simplify 1 into 1 3.812 * [backup-simplify]: Simplify (/ -1 1) into -1 3.812 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 3.812 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 1) into (sin (/ -1 phi1)) 3.812 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 0) into 0 3.812 * [backup-simplify]: Simplify (+ (sin (/ -1 phi1)) 0) into (sin (/ -1 phi1)) 3.812 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 3.812 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 3.813 * [backup-simplify]: Simplify (+ 0) into 0 3.813 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 1)) into 0 3.813 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0 3.814 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.815 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 0)) into 0 3.815 * [backup-simplify]: Simplify (+ 0 0) into 0 3.815 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 3.815 * [taylor]: Taking taylor expansion of 0 in phi2 3.815 * [backup-simplify]: Simplify 0 into 0 3.815 * [backup-simplify]: Simplify 0 into 0 3.816 * [backup-simplify]: Simplify (+ 0) into 0 3.816 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 1)) into 0 3.816 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0 3.817 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.818 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 0)) into 0 3.818 * [backup-simplify]: Simplify (+ 0 0) into 0 3.818 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 3.818 * [backup-simplify]: Simplify 0 into 0 3.819 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.820 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 3.820 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 3.821 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.821 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 3.822 * [backup-simplify]: Simplify (+ 0 0) into 0 3.822 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 3.822 * [taylor]: Taking taylor expansion of 0 in phi2 3.822 * [backup-simplify]: Simplify 0 into 0 3.823 * [backup-simplify]: Simplify 0 into 0 3.823 * [backup-simplify]: Simplify 0 into 0 3.824 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.824 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 3.824 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 3.825 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.826 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 3.826 * [backup-simplify]: Simplify (+ 0 0) into 0 3.827 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 3.827 * [backup-simplify]: Simplify 0 into 0 3.828 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.829 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.829 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 3.831 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 3.831 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 3.832 * [backup-simplify]: Simplify (+ 0 0) into 0 3.833 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2)))))) into 0 3.833 * [taylor]: Taking taylor expansion of 0 in phi2 3.833 * [backup-simplify]: Simplify 0 into 0 3.833 * [backup-simplify]: Simplify 0 into 0 3.833 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) into (* (sin phi1) (sin phi2)) 3.833 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 2 2) 3.833 * [backup-simplify]: Simplify (* (sin lambda1) (sin lambda2)) into (* (sin lambda1) (sin lambda2)) 3.833 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0 3.833 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 3.833 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 3.833 * [taylor]: Taking taylor expansion of lambda1 in lambda2 3.833 * [backup-simplify]: Simplify lambda1 into lambda1 3.833 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 3.833 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 3.833 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 3.833 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.833 * [backup-simplify]: Simplify 0 into 0 3.833 * [backup-simplify]: Simplify 1 into 1 3.833 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 3.833 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 3.833 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.833 * [backup-simplify]: Simplify 0 into 0 3.834 * [backup-simplify]: Simplify 1 into 1 3.834 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 3.834 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.834 * [backup-simplify]: Simplify lambda2 into lambda2 3.834 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 3.834 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 3.834 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 3.834 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 3.834 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.834 * [backup-simplify]: Simplify 0 into 0 3.834 * [backup-simplify]: Simplify 1 into 1 3.834 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 3.834 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.834 * [backup-simplify]: Simplify lambda2 into lambda2 3.834 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 3.834 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 3.834 * [backup-simplify]: Simplify (* (sin lambda2) 1) into (sin lambda2) 3.834 * [backup-simplify]: Simplify (* (cos lambda2) 0) into 0 3.834 * [backup-simplify]: Simplify (+ (sin lambda2) 0) into (sin lambda2) 3.834 * [backup-simplify]: Simplify (* 0 (sin lambda2)) into 0 3.834 * [taylor]: Taking taylor expansion of 0 in lambda2 3.834 * [backup-simplify]: Simplify 0 into 0 3.834 * [backup-simplify]: Simplify 0 into 0 3.835 * [backup-simplify]: Simplify (+ 0) into 0 3.835 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (* 0 1)) into 0 3.836 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.836 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (* 0 0)) into 0 3.837 * [backup-simplify]: Simplify (+ 0 0) into 0 3.838 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 3.838 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin lambda2))) into (sin lambda2) 3.838 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 3.838 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.838 * [backup-simplify]: Simplify 0 into 0 3.838 * [backup-simplify]: Simplify 1 into 1 3.838 * [backup-simplify]: Simplify 0 into 0 3.838 * [backup-simplify]: Simplify 0 into 0 3.839 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.840 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (* 0 1))) into 0 3.841 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.841 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (* 0 0))) into 0 3.842 * [backup-simplify]: Simplify (+ 0 0) into 0 3.843 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.843 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin lambda2)))) into 0 3.843 * [taylor]: Taking taylor expansion of 0 in lambda2 3.844 * [backup-simplify]: Simplify 0 into 0 3.844 * [backup-simplify]: Simplify 0 into 0 3.844 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 3.844 * [backup-simplify]: Simplify 1 into 1 3.844 * [backup-simplify]: Simplify 0 into 0 3.845 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.846 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.848 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 3.849 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 3.849 * [backup-simplify]: Simplify (+ 0 0) into 0 3.851 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 3.852 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin lambda2))))) into (- (* 1/6 (sin lambda2))) 3.852 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin lambda2))) in lambda2 3.852 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2 3.852 * [taylor]: Taking taylor expansion of 1/6 in lambda2 3.852 * [backup-simplify]: Simplify 1/6 into 1/6 3.852 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 3.852 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.852 * [backup-simplify]: Simplify 0 into 0 3.852 * [backup-simplify]: Simplify 1 into 1 3.852 * [backup-simplify]: Simplify (* 1/6 0) into 0 3.853 * [backup-simplify]: Simplify (- 0) into 0 3.853 * [backup-simplify]: Simplify 0 into 0 3.853 * [backup-simplify]: Simplify 0 into 0 3.854 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.854 * [backup-simplify]: Simplify 0 into 0 3.854 * [backup-simplify]: Simplify 0 into 0 3.856 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 3.857 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.859 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 3.860 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 3.860 * [backup-simplify]: Simplify (+ 0 0) into 0 3.862 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 3.863 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin lambda2)))))) into 0 3.863 * [taylor]: Taking taylor expansion of 0 in lambda2 3.863 * [backup-simplify]: Simplify 0 into 0 3.863 * [backup-simplify]: Simplify 0 into 0 3.864 * [backup-simplify]: Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1) 3.864 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 3.864 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in (lambda1 lambda2) around 0 3.864 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda2 3.864 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 3.864 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 3.864 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.864 * [backup-simplify]: Simplify 0 into 0 3.864 * [backup-simplify]: Simplify 1 into 1 3.864 * [backup-simplify]: Simplify (/ 1 1) into 1 3.864 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 3.864 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 3.864 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 3.864 * [taylor]: Taking taylor expansion of lambda1 in lambda2 3.865 * [backup-simplify]: Simplify lambda1 into lambda1 3.865 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 3.865 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 3.865 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 3.865 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda1 3.865 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 3.865 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 3.865 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.865 * [backup-simplify]: Simplify lambda2 into lambda2 3.865 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 3.865 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 3.865 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 3.865 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 3.865 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 3.865 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.865 * [backup-simplify]: Simplify 0 into 0 3.865 * [backup-simplify]: Simplify 1 into 1 3.866 * [backup-simplify]: Simplify (/ 1 1) into 1 3.866 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 3.866 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda1 3.866 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 3.866 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 3.866 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.866 * [backup-simplify]: Simplify lambda2 into lambda2 3.866 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 3.866 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 3.866 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 3.866 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 3.866 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 3.866 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.866 * [backup-simplify]: Simplify 0 into 0 3.866 * [backup-simplify]: Simplify 1 into 1 3.867 * [backup-simplify]: Simplify (/ 1 1) into 1 3.867 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 3.867 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) 1) into (sin (/ 1 lambda2)) 3.867 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) 0) into 0 3.867 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda2)) 0) into (sin (/ 1 lambda2)) 3.867 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 3.867 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda2 3.867 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 3.867 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 3.867 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.867 * [backup-simplify]: Simplify 0 into 0 3.867 * [backup-simplify]: Simplify 1 into 1 3.868 * [backup-simplify]: Simplify (/ 1 1) into 1 3.868 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 3.868 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 3.868 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 3.868 * [taylor]: Taking taylor expansion of lambda1 in lambda2 3.868 * [backup-simplify]: Simplify lambda1 into lambda1 3.868 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 3.868 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 3.868 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 3.868 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) 1) into (sin (/ 1 lambda1)) 3.869 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) 0) into 0 3.869 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda1)) 0) into (sin (/ 1 lambda1)) 3.869 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 3.869 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 3.869 * [backup-simplify]: Simplify (+ 0) into 0 3.870 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 1)) into 0 3.870 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 3.871 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.871 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 0)) into 0 3.872 * [backup-simplify]: Simplify (+ 0 0) into 0 3.872 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda1)))) into 0 3.872 * [taylor]: Taking taylor expansion of 0 in lambda2 3.872 * [backup-simplify]: Simplify 0 into 0 3.872 * [backup-simplify]: Simplify 0 into 0 3.873 * [backup-simplify]: Simplify (+ 0) into 0 3.873 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 1)) into 0 3.873 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0 3.874 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.874 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 0)) into 0 3.875 * [backup-simplify]: Simplify (+ 0 0) into 0 3.875 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda1)))) into 0 3.875 * [backup-simplify]: Simplify 0 into 0 3.876 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.877 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 3.877 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 3.878 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.878 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 3.879 * [backup-simplify]: Simplify (+ 0 0) into 0 3.879 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0 3.879 * [taylor]: Taking taylor expansion of 0 in lambda2 3.879 * [backup-simplify]: Simplify 0 into 0 3.879 * [backup-simplify]: Simplify 0 into 0 3.879 * [backup-simplify]: Simplify 0 into 0 3.880 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.881 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 3.881 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 3.882 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.883 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 3.883 * [backup-simplify]: Simplify (+ 0 0) into 0 3.884 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0 3.884 * [backup-simplify]: Simplify 0 into 0 3.885 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.885 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.886 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 3.887 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 3.888 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 3.889 * [backup-simplify]: Simplify (+ 0 0) into 0 3.890 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1)))))) into 0 3.890 * [taylor]: Taking taylor expansion of 0 in lambda2 3.890 * [backup-simplify]: Simplify 0 into 0 3.890 * [backup-simplify]: Simplify 0 into 0 3.890 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 lambda2))) (sin (/ 1 (/ 1 lambda1)))) into (* (sin lambda2) (sin lambda1)) 3.890 * [backup-simplify]: Simplify (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 3.890 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0 3.890 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 3.890 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 3.890 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 3.890 * [taylor]: Taking taylor expansion of -1 in lambda2 3.890 * [backup-simplify]: Simplify -1 into -1 3.890 * [taylor]: Taking taylor expansion of lambda1 in lambda2 3.890 * [backup-simplify]: Simplify lambda1 into lambda1 3.890 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 3.890 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 3.890 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 3.891 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 3.891 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 3.891 * [taylor]: Taking taylor expansion of -1 in lambda2 3.891 * [backup-simplify]: Simplify -1 into -1 3.891 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.891 * [backup-simplify]: Simplify 0 into 0 3.891 * [backup-simplify]: Simplify 1 into 1 3.891 * [backup-simplify]: Simplify (/ -1 1) into -1 3.891 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 3.891 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 3.891 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 3.891 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 3.891 * [taylor]: Taking taylor expansion of -1 in lambda1 3.891 * [backup-simplify]: Simplify -1 into -1 3.891 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.891 * [backup-simplify]: Simplify 0 into 0 3.891 * [backup-simplify]: Simplify 1 into 1 3.892 * [backup-simplify]: Simplify (/ -1 1) into -1 3.892 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 3.892 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 3.892 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 3.892 * [taylor]: Taking taylor expansion of -1 in lambda1 3.892 * [backup-simplify]: Simplify -1 into -1 3.892 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.892 * [backup-simplify]: Simplify lambda2 into lambda2 3.892 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 3.892 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 3.892 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 3.892 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 3.892 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 3.892 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 3.892 * [taylor]: Taking taylor expansion of -1 in lambda1 3.892 * [backup-simplify]: Simplify -1 into -1 3.892 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.892 * [backup-simplify]: Simplify 0 into 0 3.893 * [backup-simplify]: Simplify 1 into 1 3.893 * [backup-simplify]: Simplify (/ -1 1) into -1 3.893 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 3.893 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 3.893 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 3.893 * [taylor]: Taking taylor expansion of -1 in lambda1 3.893 * [backup-simplify]: Simplify -1 into -1 3.893 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.893 * [backup-simplify]: Simplify lambda2 into lambda2 3.893 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 3.893 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 3.893 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 3.894 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) 1) into (sin (/ -1 lambda2)) 3.894 * [backup-simplify]: Simplify (* (cos (/ -1 lambda2)) 0) into 0 3.894 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda2)) 0) into (sin (/ -1 lambda2)) 3.894 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 3.894 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 3.894 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 3.894 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 3.894 * [taylor]: Taking taylor expansion of -1 in lambda2 3.894 * [backup-simplify]: Simplify -1 into -1 3.894 * [taylor]: Taking taylor expansion of lambda1 in lambda2 3.894 * [backup-simplify]: Simplify lambda1 into lambda1 3.894 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 3.894 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 3.894 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 3.894 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 3.894 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 3.894 * [taylor]: Taking taylor expansion of -1 in lambda2 3.894 * [backup-simplify]: Simplify -1 into -1 3.894 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.894 * [backup-simplify]: Simplify 0 into 0 3.894 * [backup-simplify]: Simplify 1 into 1 3.895 * [backup-simplify]: Simplify (/ -1 1) into -1 3.895 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 3.895 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) 1) into (sin (/ -1 lambda1)) 3.895 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) 0) into 0 3.895 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda1)) 0) into (sin (/ -1 lambda1)) 3.895 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 3.895 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 3.896 * [backup-simplify]: Simplify (+ 0) into 0 3.896 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 1)) into 0 3.896 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)))) into 0 3.897 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.898 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 0)) into 0 3.898 * [backup-simplify]: Simplify (+ 0 0) into 0 3.898 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 3.898 * [taylor]: Taking taylor expansion of 0 in lambda2 3.898 * [backup-simplify]: Simplify 0 into 0 3.898 * [backup-simplify]: Simplify 0 into 0 3.899 * [backup-simplify]: Simplify (+ 0) into 0 3.899 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 1)) into 0 3.899 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)))) into 0 3.900 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.901 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 0)) into 0 3.901 * [backup-simplify]: Simplify (+ 0 0) into 0 3.901 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 3.901 * [backup-simplify]: Simplify 0 into 0 3.902 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.903 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 3.903 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 3.904 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.905 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 3.905 * [backup-simplify]: Simplify (+ 0 0) into 0 3.905 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 3.906 * [taylor]: Taking taylor expansion of 0 in lambda2 3.906 * [backup-simplify]: Simplify 0 into 0 3.906 * [backup-simplify]: Simplify 0 into 0 3.906 * [backup-simplify]: Simplify 0 into 0 3.907 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.907 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 3.907 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 3.908 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.909 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 3.909 * [backup-simplify]: Simplify (+ 0 0) into 0 3.910 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 3.910 * [backup-simplify]: Simplify 0 into 0 3.911 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.912 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.912 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 3.914 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 3.915 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 3.915 * [backup-simplify]: Simplify (+ 0 0) into 0 3.916 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2)))))) into 0 3.916 * [taylor]: Taking taylor expansion of 0 in lambda2 3.916 * [backup-simplify]: Simplify 0 into 0 3.916 * [backup-simplify]: Simplify 0 into 0 3.916 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- lambda1)))) (sin (/ -1 (/ 1 (- lambda2))))) into (* (sin lambda1) (sin lambda2)) 3.916 * * * [progress]: simplifying candidates 3.917 * * * * [progress]: [ 1 / 80 ] simplifiying candidate # 3.917 * * * * [progress]: [ 2 / 80 ] simplifiying candidate # 3.917 * * * * [progress]: [ 3 / 80 ] simplifiying candidate # 3.917 * * * * [progress]: [ 4 / 80 ] simplifiying candidate # 3.917 * * * * [progress]: [ 5 / 80 ] simplifiying candidate # 3.917 * * * * [progress]: [ 6 / 80 ] simplifiying candidate # 3.917 * * * * [progress]: [ 7 / 80 ] simplifiying candidate # 3.917 * * * * [progress]: [ 8 / 80 ] simplifiying candidate # 3.917 * * * * [progress]: [ 9 / 80 ] simplifiying candidate #real (real->posit16 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))> 3.917 * * * * [progress]: [ 10 / 80 ] simplifiying candidate # 3.917 * * * * [progress]: [ 11 / 80 ] simplifiying candidate # 3.917 * * * * [progress]: [ 12 / 80 ] simplifiying candidate # 3.918 * * * * [progress]: [ 13 / 80 ] simplifiying candidate # 3.918 * * * * [progress]: [ 14 / 80 ] simplifiying candidate # 3.918 * * * * [progress]: [ 15 / 80 ] simplifiying candidate # 3.918 * * * * [progress]: [ 16 / 80 ] simplifiying candidate # 3.918 * * * * [progress]: [ 17 / 80 ] simplifiying candidate # 3.918 * * * * [progress]: [ 18 / 80 ] simplifiying candidate # 3.918 * * * * [progress]: [ 19 / 80 ] simplifiying candidate # 3.918 * * * * [progress]: [ 20 / 80 ] simplifiying candidate # 3.918 * * * * [progress]: [ 21 / 80 ] simplifiying candidate # 3.918 * * * * [progress]: [ 22 / 80 ] simplifiying candidate # 3.918 * * * * [progress]: [ 23 / 80 ] simplifiying candidate # 3.918 * * * * [progress]: [ 24 / 80 ] simplifiying candidate # 3.918 * * * * [progress]: [ 25 / 80 ] simplifiying candidate # 3.919 * * * * [progress]: [ 26 / 80 ] simplifiying candidate # 3.919 * * * * [progress]: [ 27 / 80 ] simplifiying candidate #real (real->posit16 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))> 3.919 * * * * [progress]: [ 28 / 80 ] simplifiying candidate # 3.919 * * * * [progress]: [ 29 / 80 ] simplifiying candidate # 3.919 * * * * [progress]: [ 30 / 80 ] simplifiying candidate # 3.919 * * * * [progress]: [ 31 / 80 ] simplifiying candidate # 3.919 * * * * [progress]: [ 32 / 80 ] simplifiying candidate # 3.919 * * * * [progress]: [ 33 / 80 ] simplifiying candidate # 3.919 * * * * [progress]: [ 34 / 80 ] simplifiying candidate # 3.919 * * * * [progress]: [ 35 / 80 ] simplifiying candidate # 3.919 * * * * [progress]: [ 36 / 80 ] simplifiying candidate # 3.919 * * * * [progress]: [ 37 / 80 ] simplifiying candidate # 3.919 * * * * [progress]: [ 38 / 80 ] simplifiying candidate # 3.920 * * * * [progress]: [ 39 / 80 ] simplifiying candidate # 3.920 * * * * [progress]: [ 40 / 80 ] simplifiying candidate # 3.920 * * * * [progress]: [ 41 / 80 ] simplifiying candidate # 3.920 * * * * [progress]: [ 42 / 80 ] simplifiying candidate # 3.920 * * * * [progress]: [ 43 / 80 ] simplifiying candidate # 3.920 * * * * [progress]: [ 44 / 80 ] simplifiying candidate # 3.920 * * * * [progress]: [ 45 / 80 ] simplifiying candidate # 3.920 * * * * [progress]: [ 46 / 80 ] simplifiying candidate # 3.920 * * * * [progress]: [ 47 / 80 ] simplifiying candidate #real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> 3.920 * * * * [progress]: [ 48 / 80 ] simplifiying candidate # 3.920 * * * * [progress]: [ 49 / 80 ] simplifiying candidate # 3.920 * * * * [progress]: [ 50 / 80 ] simplifiying candidate # 3.920 * * * * [progress]: [ 51 / 80 ] simplifiying candidate # 3.921 * * * * [progress]: [ 52 / 80 ] simplifiying candidate # 3.921 * * * * [progress]: [ 53 / 80 ] simplifiying candidate # 3.921 * * * * [progress]: [ 54 / 80 ] simplifiying candidate # 3.921 * * * * [progress]: [ 55 / 80 ] simplifiying candidate # 3.921 * * * * [progress]: [ 56 / 80 ] simplifiying candidate # 3.921 * * * * [progress]: [ 57 / 80 ] simplifiying candidate # 3.921 * * * * [progress]: [ 58 / 80 ] simplifiying candidate # 3.921 * * * * [progress]: [ 59 / 80 ] simplifiying candidate # 3.921 * * * * [progress]: [ 60 / 80 ] simplifiying candidate # 3.921 * * * * [progress]: [ 61 / 80 ] simplifiying candidate # 3.921 * * * * [progress]: [ 62 / 80 ] simplifiying candidate # 3.921 * * * * [progress]: [ 63 / 80 ] simplifiying candidate # 3.921 * * * * [progress]: [ 64 / 80 ] simplifiying candidate # 3.922 * * * * [progress]: [ 65 / 80 ] simplifiying candidate # 3.922 * * * * [progress]: [ 66 / 80 ] simplifiying candidate # 3.922 * * * * [progress]: [ 67 / 80 ] simplifiying candidate #real (real->posit16 (* (sin lambda1) (sin lambda2)))))))) R))> 3.922 * * * * [progress]: [ 68 / 80 ] simplifiying candidate # 3.922 * * * * [progress]: [ 69 / 80 ] simplifiying candidate # 3.922 * * * * [progress]: [ 70 / 80 ] simplifiying candidate # 3.922 * * * * [progress]: [ 71 / 80 ] simplifiying candidate # 3.922 * * * * [progress]: [ 72 / 80 ] simplifiying candidate # 3.922 * * * * [progress]: [ 73 / 80 ] simplifiying candidate # 3.922 * * * * [progress]: [ 74 / 80 ] simplifiying candidate # 3.922 * * * * [progress]: [ 75 / 80 ] simplifiying candidate # 3.922 * * * * [progress]: [ 76 / 80 ] simplifiying candidate # 3.922 * * * * [progress]: [ 77 / 80 ] simplifiying candidate # 3.922 * * * * [progress]: [ 78 / 80 ] simplifiying candidate # 3.922 * * * * [progress]: [ 79 / 80 ] simplifiying candidate # 3.923 * * * * [progress]: [ 80 / 80 ] simplifiying candidate # 3.924 * [simplify]: Simplifying: (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (real->posit16 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (* R R) R)) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 1) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (real->posit16 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (+ (log (sin phi1)) (log (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (* (sin phi1) 1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (real->posit16 (* (sin phi1) (sin phi2))) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (* (sin lambda1) (sin lambda2)) (+ (log (sin lambda1)) (log (sin lambda2))) (log (* (sin lambda1) (sin lambda2))) (exp (* (sin lambda1) (sin lambda2))) (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin lambda2) (sin lambda2)) (sin lambda2))) (* (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (sin lambda1) (sin lambda2)))) (cbrt (* (sin lambda1) (sin lambda2))) (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sin lambda1) (* (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)) (real->posit16 (* (sin lambda1) (sin lambda2))) (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (* phi1 phi2) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (* lambda2 lambda1) (* (sin lambda2) (sin lambda1)) (* (sin lambda1) (sin lambda2)) 3.927 * * [simplify]: iteration 0: 138 enodes 3.976 * * [simplify]: iteration 1: 281 enodes 4.079 * * [simplify]: iteration 2: 628 enodes 4.330 * * [simplify]: iteration 3: 1449 enodes 4.794 * * [simplify]: iteration complete: 2002 enodes 4.794 * * [simplify]: Extracting #0: cost 55 inf + 0 4.795 * * [simplify]: Extracting #1: cost 215 inf + 0 4.797 * * [simplify]: Extracting #2: cost 332 inf + 1392 4.805 * * [simplify]: Extracting #3: cost 296 inf + 25507 4.822 * * [simplify]: Extracting #4: cost 234 inf + 51391 4.835 * * [simplify]: Extracting #5: cost 117 inf + 83851 4.862 * * [simplify]: Extracting #6: cost 27 inf + 151714 4.918 * * [simplify]: Extracting #7: cost 1 inf + 178293 4.973 * * [simplify]: Extracting #8: cost 0 inf + 179309 5.031 * [simplify]: Simplified to: (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) (log (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (exp (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (* (cbrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (cbrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (cbrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (* (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (sqrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (sqrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (real->posit16 (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) R) (log (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) R)) (log (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) R)) (exp (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) R)) (* (* R (* (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))) (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (* (cbrt (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) R)) (cbrt (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) R))) (cbrt (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) R)) (* (* R (* (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))) (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (sqrt (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) R)) (sqrt (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) R)) (* (sqrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (sqrt R)) (* (sqrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (sqrt R)) (* (cbrt R) (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) (cbrt R))) (* (sqrt R) (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) (* (cbrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) R) (* R (sqrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) R) (real->posit16 (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) R)) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi2) (sin phi1)) (log (* (sin phi2) (sin phi1))) (log (* (sin phi2) (sin phi1))) (exp (* (sin phi2) (sin phi1))) (* (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1))) (* (sin phi2) (sin phi1))) (* (cbrt (* (sin phi2) (sin phi1))) (cbrt (* (sin phi2) (sin phi1)))) (cbrt (* (sin phi2) (sin phi1))) (* (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1))) (* (sin phi2) (sin phi1))) (sqrt (* (sin phi2) (sin phi1))) (sqrt (* (sin phi2) (sin phi1))) (* (sqrt (sin phi2)) (sqrt (sin phi1))) (* (sqrt (sin phi2)) (sqrt (sin phi1))) (* (cbrt (sin phi2)) (* (cbrt (sin phi2)) (sin phi1))) (* (sqrt (sin phi2)) (sin phi1)) (sin phi1) (* (sin phi2) (cbrt (sin phi1))) (* (sin phi2) (sqrt (sin phi1))) (* (sin phi2) (sin phi1)) (real->posit16 (* (sin phi2) (sin phi1))) (- (cos (- lambda1 lambda2)) (cos (+ lambda2 lambda1))) (* (sin lambda1) (sin lambda2)) (log (* (sin lambda1) (sin lambda2))) (log (* (sin lambda1) (sin lambda2))) (exp (* (sin lambda1) (sin lambda2))) (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (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 lambda2)) (sqrt (sin lambda1))) (* (sqrt (sin lambda2)) (sqrt (sin lambda1))) (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (* (sin lambda1) (sqrt (sin lambda2))) (sin lambda1) (* (sin lambda2) (cbrt (sin lambda1))) (* (sqrt (sin lambda1)) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (real->posit16 (* (sin lambda1) (sin lambda2))) (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) R) (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) R) (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) R) (* phi1 phi2) (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1)) (* lambda1 lambda2) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) 5.040 * * * [progress]: adding candidates to table 5.831 * * [progress]: iteration 3 / 4 5.831 * * * [progress]: picking best candidate 5.995 * * * * [pick]: Picked # 5.995 * * * [progress]: localizing error 6.085 * * * [progress]: generating rewritten candidates 6.085 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 6.087 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 6.093 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 6.096 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 6.116 * * * [progress]: generating series expansions 6.116 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 6.116 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 6.117 * [approximate]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 6.117 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 6.117 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 6.117 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 6.117 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 6.117 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 6.117 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 6.118 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 6.118 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 6.118 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 6.118 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 6.118 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 6.119 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 6.119 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 6.119 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 6.119 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 6.119 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 6.119 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 6.120 * [taylor]: Taking taylor expansion of 0 in phi2 6.120 * [backup-simplify]: Simplify 0 into 0 6.120 * [taylor]: Taking taylor expansion of 0 in lambda1 6.120 * [backup-simplify]: Simplify 0 into 0 6.120 * [taylor]: Taking taylor expansion of 0 in lambda2 6.120 * [backup-simplify]: Simplify 0 into 0 6.120 * [backup-simplify]: Simplify 0 into 0 6.120 * [taylor]: Taking taylor expansion of 0 in lambda1 6.120 * [backup-simplify]: Simplify 0 into 0 6.120 * [taylor]: Taking taylor expansion of 0 in lambda2 6.120 * [backup-simplify]: Simplify 0 into 0 6.120 * [backup-simplify]: Simplify 0 into 0 6.120 * [taylor]: Taking taylor expansion of 0 in lambda2 6.120 * [backup-simplify]: Simplify 0 into 0 6.120 * [backup-simplify]: Simplify 0 into 0 6.120 * [backup-simplify]: Simplify 0 into 0 6.120 * [taylor]: Taking taylor expansion of 0 in phi2 6.120 * [backup-simplify]: Simplify 0 into 0 6.120 * [taylor]: Taking taylor expansion of 0 in lambda1 6.120 * [backup-simplify]: Simplify 0 into 0 6.120 * [taylor]: Taking taylor expansion of 0 in lambda2 6.120 * [backup-simplify]: Simplify 0 into 0 6.120 * [backup-simplify]: Simplify 0 into 0 6.120 * [taylor]: Taking taylor expansion of 0 in lambda1 6.120 * [backup-simplify]: Simplify 0 into 0 6.120 * [taylor]: Taking taylor expansion of 0 in lambda2 6.120 * [backup-simplify]: Simplify 0 into 0 6.120 * [backup-simplify]: Simplify 0 into 0 6.120 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 6.121 * [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 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 6.121 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0 6.121 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2 6.121 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 6.121 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1 6.122 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 6.122 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2 6.122 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 6.122 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1 6.123 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 6.123 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1 6.124 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 6.124 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2 6.125 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 6.125 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1 6.125 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 6.125 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2 6.126 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 6.127 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 6.127 * [taylor]: Taking taylor expansion of 0 in phi2 6.127 * [backup-simplify]: Simplify 0 into 0 6.127 * [taylor]: Taking taylor expansion of 0 in lambda1 6.127 * [backup-simplify]: Simplify 0 into 0 6.127 * [taylor]: Taking taylor expansion of 0 in lambda2 6.127 * [backup-simplify]: Simplify 0 into 0 6.127 * [backup-simplify]: Simplify 0 into 0 6.127 * [taylor]: Taking taylor expansion of 0 in lambda1 6.127 * [backup-simplify]: Simplify 0 into 0 6.127 * [taylor]: Taking taylor expansion of 0 in lambda2 6.127 * [backup-simplify]: Simplify 0 into 0 6.127 * [backup-simplify]: Simplify 0 into 0 6.127 * [taylor]: Taking taylor expansion of 0 in lambda2 6.127 * [backup-simplify]: Simplify 0 into 0 6.127 * [backup-simplify]: Simplify 0 into 0 6.127 * [backup-simplify]: Simplify 0 into 0 6.127 * [taylor]: Taking taylor expansion of 0 in phi2 6.127 * [backup-simplify]: Simplify 0 into 0 6.127 * [taylor]: Taking taylor expansion of 0 in lambda1 6.127 * [backup-simplify]: Simplify 0 into 0 6.127 * [taylor]: Taking taylor expansion of 0 in lambda2 6.127 * [backup-simplify]: Simplify 0 into 0 6.127 * [backup-simplify]: Simplify 0 into 0 6.128 * [taylor]: Taking taylor expansion of 0 in lambda1 6.128 * [backup-simplify]: Simplify 0 into 0 6.128 * [taylor]: Taking taylor expansion of 0 in lambda2 6.128 * [backup-simplify]: Simplify 0 into 0 6.128 * [backup-simplify]: Simplify 0 into 0 6.128 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1))))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 6.129 * [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)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 6.129 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 6.129 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2 6.130 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 6.130 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 6.131 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 6.131 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2 6.131 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 6.131 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 6.132 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 6.132 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 6.133 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 6.133 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in phi2 6.134 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 6.134 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 6.134 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 6.134 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in lambda2 6.135 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 6.141 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 6.141 * [taylor]: Taking taylor expansion of 0 in phi2 6.141 * [backup-simplify]: Simplify 0 into 0 6.141 * [taylor]: Taking taylor expansion of 0 in lambda1 6.141 * [backup-simplify]: Simplify 0 into 0 6.141 * [taylor]: Taking taylor expansion of 0 in lambda2 6.141 * [backup-simplify]: Simplify 0 into 0 6.141 * [backup-simplify]: Simplify 0 into 0 6.141 * [taylor]: Taking taylor expansion of 0 in lambda1 6.142 * [backup-simplify]: Simplify 0 into 0 6.142 * [taylor]: Taking taylor expansion of 0 in lambda2 6.142 * [backup-simplify]: Simplify 0 into 0 6.142 * [backup-simplify]: Simplify 0 into 0 6.142 * [taylor]: Taking taylor expansion of 0 in lambda2 6.142 * [backup-simplify]: Simplify 0 into 0 6.142 * [backup-simplify]: Simplify 0 into 0 6.142 * [backup-simplify]: Simplify 0 into 0 6.142 * [taylor]: Taking taylor expansion of 0 in phi2 6.142 * [backup-simplify]: Simplify 0 into 0 6.142 * [taylor]: Taking taylor expansion of 0 in lambda1 6.142 * [backup-simplify]: Simplify 0 into 0 6.142 * [taylor]: Taking taylor expansion of 0 in lambda2 6.142 * [backup-simplify]: Simplify 0 into 0 6.142 * [backup-simplify]: Simplify 0 into 0 6.142 * [taylor]: Taking taylor expansion of 0 in lambda1 6.142 * [backup-simplify]: Simplify 0 into 0 6.142 * [taylor]: Taking taylor expansion of 0 in lambda2 6.142 * [backup-simplify]: Simplify 0 into 0 6.142 * [backup-simplify]: Simplify 0 into 0 6.143 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- lambda2)))) (cos (/ -1 (/ 1 (- phi2)))))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 6.143 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 6.144 * [backup-simplify]: Simplify (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 6.144 * [approximate]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 6.144 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 6.144 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 6.144 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 6.145 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 6.145 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 6.145 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 6.145 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 6.146 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 6.146 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 6.146 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 6.146 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 6.147 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 6.147 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 6.147 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 6.147 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 6.148 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 6.148 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 6.149 * [taylor]: Taking taylor expansion of 0 in phi2 6.149 * [backup-simplify]: Simplify 0 into 0 6.149 * [taylor]: Taking taylor expansion of 0 in lambda1 6.149 * [backup-simplify]: Simplify 0 into 0 6.149 * [taylor]: Taking taylor expansion of 0 in lambda2 6.149 * [backup-simplify]: Simplify 0 into 0 6.149 * [backup-simplify]: Simplify 0 into 0 6.149 * [taylor]: Taking taylor expansion of 0 in lambda1 6.149 * [backup-simplify]: Simplify 0 into 0 6.149 * [taylor]: Taking taylor expansion of 0 in lambda2 6.149 * [backup-simplify]: Simplify 0 into 0 6.149 * [backup-simplify]: Simplify 0 into 0 6.149 * [taylor]: Taking taylor expansion of 0 in lambda2 6.149 * [backup-simplify]: Simplify 0 into 0 6.149 * [backup-simplify]: Simplify 0 into 0 6.149 * [backup-simplify]: Simplify 0 into 0 6.149 * [taylor]: Taking taylor expansion of 0 in phi2 6.149 * [backup-simplify]: Simplify 0 into 0 6.149 * [taylor]: Taking taylor expansion of 0 in lambda1 6.149 * [backup-simplify]: Simplify 0 into 0 6.149 * [taylor]: Taking taylor expansion of 0 in lambda2 6.149 * [backup-simplify]: Simplify 0 into 0 6.149 * [backup-simplify]: Simplify 0 into 0 6.149 * [taylor]: Taking taylor expansion of 0 in lambda1 6.149 * [backup-simplify]: Simplify 0 into 0 6.149 * [taylor]: Taking taylor expansion of 0 in lambda2 6.149 * [backup-simplify]: Simplify 0 into 0 6.149 * [backup-simplify]: Simplify 0 into 0 6.150 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 6.150 * [backup-simplify]: Simplify (log (exp (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 6.150 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0 6.150 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2 6.151 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 6.151 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1 6.152 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 6.152 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2 6.153 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 6.153 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1 6.153 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 6.153 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1 6.154 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 6.154 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2 6.155 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 6.155 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1 6.156 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 6.156 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2 6.157 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 6.157 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 6.157 * [taylor]: Taking taylor expansion of 0 in phi2 6.157 * [backup-simplify]: Simplify 0 into 0 6.157 * [taylor]: Taking taylor expansion of 0 in lambda1 6.157 * [backup-simplify]: Simplify 0 into 0 6.157 * [taylor]: Taking taylor expansion of 0 in lambda2 6.158 * [backup-simplify]: Simplify 0 into 0 6.158 * [backup-simplify]: Simplify 0 into 0 6.158 * [taylor]: Taking taylor expansion of 0 in lambda1 6.158 * [backup-simplify]: Simplify 0 into 0 6.158 * [taylor]: Taking taylor expansion of 0 in lambda2 6.158 * [backup-simplify]: Simplify 0 into 0 6.158 * [backup-simplify]: Simplify 0 into 0 6.158 * [taylor]: Taking taylor expansion of 0 in lambda2 6.158 * [backup-simplify]: Simplify 0 into 0 6.158 * [backup-simplify]: Simplify 0 into 0 6.158 * [backup-simplify]: Simplify 0 into 0 6.158 * [taylor]: Taking taylor expansion of 0 in phi2 6.158 * [backup-simplify]: Simplify 0 into 0 6.158 * [taylor]: Taking taylor expansion of 0 in lambda1 6.158 * [backup-simplify]: Simplify 0 into 0 6.158 * [taylor]: Taking taylor expansion of 0 in lambda2 6.158 * [backup-simplify]: Simplify 0 into 0 6.158 * [backup-simplify]: Simplify 0 into 0 6.158 * [taylor]: Taking taylor expansion of 0 in lambda1 6.158 * [backup-simplify]: Simplify 0 into 0 6.158 * [taylor]: Taking taylor expansion of 0 in lambda2 6.158 * [backup-simplify]: Simplify 0 into 0 6.158 * [backup-simplify]: Simplify 0 into 0 6.159 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1))))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 6.160 * [backup-simplify]: Simplify (log (exp (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 6.160 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 6.160 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2 6.160 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 6.160 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 6.161 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 6.161 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2 6.162 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 6.162 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 6.162 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 6.163 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 6.163 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 6.163 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in phi2 6.164 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 6.164 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 6.165 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 6.165 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in lambda2 6.165 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 6.166 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 6.166 * [taylor]: Taking taylor expansion of 0 in phi2 6.166 * [backup-simplify]: Simplify 0 into 0 6.166 * [taylor]: Taking taylor expansion of 0 in lambda1 6.166 * [backup-simplify]: Simplify 0 into 0 6.166 * [taylor]: Taking taylor expansion of 0 in lambda2 6.166 * [backup-simplify]: Simplify 0 into 0 6.166 * [backup-simplify]: Simplify 0 into 0 6.166 * [taylor]: Taking taylor expansion of 0 in lambda1 6.167 * [backup-simplify]: Simplify 0 into 0 6.167 * [taylor]: Taking taylor expansion of 0 in lambda2 6.167 * [backup-simplify]: Simplify 0 into 0 6.167 * [backup-simplify]: Simplify 0 into 0 6.167 * [taylor]: Taking taylor expansion of 0 in lambda2 6.167 * [backup-simplify]: Simplify 0 into 0 6.167 * [backup-simplify]: Simplify 0 into 0 6.167 * [backup-simplify]: Simplify 0 into 0 6.167 * [taylor]: Taking taylor expansion of 0 in phi2 6.167 * [backup-simplify]: Simplify 0 into 0 6.167 * [taylor]: Taking taylor expansion of 0 in lambda1 6.167 * [backup-simplify]: Simplify 0 into 0 6.167 * [taylor]: Taking taylor expansion of 0 in lambda2 6.167 * [backup-simplify]: Simplify 0 into 0 6.167 * [backup-simplify]: Simplify 0 into 0 6.167 * [taylor]: Taking taylor expansion of 0 in lambda1 6.167 * [backup-simplify]: Simplify 0 into 0 6.167 * [taylor]: Taking taylor expansion of 0 in lambda2 6.167 * [backup-simplify]: Simplify 0 into 0 6.167 * [backup-simplify]: Simplify 0 into 0 6.168 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- lambda2)))) (cos (/ -1 (/ 1 (- phi2)))))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 6.168 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 6.169 * [backup-simplify]: Simplify (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 6.169 * [approximate]: Taking taylor expansion of (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0 6.169 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2 6.169 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 6.169 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 6.170 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 6.170 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1 6.170 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 6.170 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 6.171 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 6.171 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2 6.171 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 6.172 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 6.172 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 6.172 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1 6.172 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 6.173 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 6.174 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 6.174 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1 6.174 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 6.174 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 6.175 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 6.175 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2 6.175 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 6.175 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 6.176 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 6.176 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1 6.176 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 6.176 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 6.177 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 6.177 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2 6.177 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 6.178 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 6.178 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 6.179 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 6.181 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.181 * [taylor]: Taking taylor expansion of 0 in phi2 6.181 * [backup-simplify]: Simplify 0 into 0 6.181 * [taylor]: Taking taylor expansion of 0 in lambda1 6.181 * [backup-simplify]: Simplify 0 into 0 6.181 * [taylor]: Taking taylor expansion of 0 in lambda2 6.181 * [backup-simplify]: Simplify 0 into 0 6.181 * [backup-simplify]: Simplify 0 into 0 6.183 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.183 * [taylor]: Taking taylor expansion of 0 in lambda1 6.183 * [backup-simplify]: Simplify 0 into 0 6.183 * [taylor]: Taking taylor expansion of 0 in lambda2 6.183 * [backup-simplify]: Simplify 0 into 0 6.183 * [backup-simplify]: Simplify 0 into 0 6.185 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.185 * [taylor]: Taking taylor expansion of 0 in lambda2 6.185 * [backup-simplify]: Simplify 0 into 0 6.185 * [backup-simplify]: Simplify 0 into 0 6.186 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.186 * [backup-simplify]: Simplify 0 into 0 6.188 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.188 * [taylor]: Taking taylor expansion of 0 in phi2 6.188 * [backup-simplify]: Simplify 0 into 0 6.188 * [taylor]: Taking taylor expansion of 0 in lambda1 6.188 * [backup-simplify]: Simplify 0 into 0 6.188 * [taylor]: Taking taylor expansion of 0 in lambda2 6.189 * [backup-simplify]: Simplify 0 into 0 6.189 * [backup-simplify]: Simplify 0 into 0 6.189 * [taylor]: Taking taylor expansion of 0 in lambda1 6.189 * [backup-simplify]: Simplify 0 into 0 6.189 * [taylor]: Taking taylor expansion of 0 in lambda2 6.189 * [backup-simplify]: Simplify 0 into 0 6.189 * [backup-simplify]: Simplify 0 into 0 6.189 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 6.190 * [backup-simplify]: Simplify (exp (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))))))) into (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) 6.190 * [approximate]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in (phi1 phi2 lambda1 lambda2) around 0 6.190 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in lambda2 6.190 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2 6.191 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 6.192 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) 6.192 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in lambda1 6.192 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1 6.192 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 6.193 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) 6.193 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in phi2 6.193 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2 6.194 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 6.195 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) 6.195 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in phi1 6.195 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1 6.196 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 6.196 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) 6.196 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in phi1 6.196 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1 6.197 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 6.198 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) 6.198 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in phi2 6.198 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2 6.199 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 6.199 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) 6.199 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in lambda1 6.199 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1 6.200 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 6.201 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) 6.201 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in lambda2 6.201 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2 6.201 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 6.202 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) 6.203 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) 6.204 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.204 * [taylor]: Taking taylor expansion of 0 in phi2 6.204 * [backup-simplify]: Simplify 0 into 0 6.204 * [taylor]: Taking taylor expansion of 0 in lambda1 6.205 * [backup-simplify]: Simplify 0 into 0 6.205 * [taylor]: Taking taylor expansion of 0 in lambda2 6.205 * [backup-simplify]: Simplify 0 into 0 6.205 * [backup-simplify]: Simplify 0 into 0 6.206 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.206 * [taylor]: Taking taylor expansion of 0 in lambda1 6.206 * [backup-simplify]: Simplify 0 into 0 6.206 * [taylor]: Taking taylor expansion of 0 in lambda2 6.206 * [backup-simplify]: Simplify 0 into 0 6.206 * [backup-simplify]: Simplify 0 into 0 6.208 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.208 * [taylor]: Taking taylor expansion of 0 in lambda2 6.208 * [backup-simplify]: Simplify 0 into 0 6.208 * [backup-simplify]: Simplify 0 into 0 6.209 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.209 * [backup-simplify]: Simplify 0 into 0 6.211 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.211 * [taylor]: Taking taylor expansion of 0 in phi2 6.211 * [backup-simplify]: Simplify 0 into 0 6.211 * [taylor]: Taking taylor expansion of 0 in lambda1 6.211 * [backup-simplify]: Simplify 0 into 0 6.211 * [taylor]: Taking taylor expansion of 0 in lambda2 6.211 * [backup-simplify]: Simplify 0 into 0 6.211 * [backup-simplify]: Simplify 0 into 0 6.212 * [taylor]: Taking taylor expansion of 0 in lambda1 6.212 * [backup-simplify]: Simplify 0 into 0 6.212 * [taylor]: Taking taylor expansion of 0 in lambda2 6.212 * [backup-simplify]: Simplify 0 into 0 6.212 * [backup-simplify]: Simplify 0 into 0 6.212 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) 6.213 * [backup-simplify]: Simplify (exp (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) 6.213 * [approximate]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in (phi1 phi2 lambda1 lambda2) around 0 6.213 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in lambda2 6.213 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2 6.214 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 6.215 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) 6.215 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in lambda1 6.215 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 6.215 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 6.216 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) 6.216 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in phi2 6.216 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2 6.217 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 6.217 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) 6.217 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in phi1 6.217 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 6.217 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 6.218 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) 6.218 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in phi1 6.218 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 6.218 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 6.219 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) 6.219 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in phi2 6.219 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2 6.219 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 6.220 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) 6.220 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in lambda1 6.220 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 6.220 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 6.221 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) 6.221 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in lambda2 6.221 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2 6.221 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 6.222 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) 6.222 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) 6.224 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.224 * [taylor]: Taking taylor expansion of 0 in phi2 6.224 * [backup-simplify]: Simplify 0 into 0 6.224 * [taylor]: Taking taylor expansion of 0 in lambda1 6.224 * [backup-simplify]: Simplify 0 into 0 6.224 * [taylor]: Taking taylor expansion of 0 in lambda2 6.224 * [backup-simplify]: Simplify 0 into 0 6.224 * [backup-simplify]: Simplify 0 into 0 6.225 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.225 * [taylor]: Taking taylor expansion of 0 in lambda1 6.225 * [backup-simplify]: Simplify 0 into 0 6.225 * [taylor]: Taking taylor expansion of 0 in lambda2 6.225 * [backup-simplify]: Simplify 0 into 0 6.225 * [backup-simplify]: Simplify 0 into 0 6.226 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.226 * [taylor]: Taking taylor expansion of 0 in lambda2 6.226 * [backup-simplify]: Simplify 0 into 0 6.226 * [backup-simplify]: Simplify 0 into 0 6.227 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.227 * [backup-simplify]: Simplify 0 into 0 6.229 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.229 * [taylor]: Taking taylor expansion of 0 in phi2 6.229 * [backup-simplify]: Simplify 0 into 0 6.229 * [taylor]: Taking taylor expansion of 0 in lambda1 6.229 * [backup-simplify]: Simplify 0 into 0 6.229 * [taylor]: Taking taylor expansion of 0 in lambda2 6.229 * [backup-simplify]: Simplify 0 into 0 6.229 * [backup-simplify]: Simplify 0 into 0 6.229 * [taylor]: Taking taylor expansion of 0 in lambda1 6.229 * [backup-simplify]: Simplify 0 into 0 6.229 * [taylor]: Taking taylor expansion of 0 in lambda2 6.229 * [backup-simplify]: Simplify 0 into 0 6.229 * [backup-simplify]: Simplify 0 into 0 6.230 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- lambda2)))) (cos (/ -1 (/ 1 (- phi2))))))))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 6.231 * * * * [progress]: [ 4 / 4 ] generating series at (2) 6.231 * [backup-simplify]: Simplify (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 6.231 * [approximate]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in (phi1 phi2 lambda1 lambda2 R) around 0 6.231 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in R 6.231 * [taylor]: Taking taylor expansion of R in R 6.231 * [backup-simplify]: Simplify 0 into 0 6.231 * [backup-simplify]: Simplify 1 into 1 6.231 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in R 6.232 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 6.232 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2 6.232 * [taylor]: Taking taylor expansion of R in lambda2 6.232 * [backup-simplify]: Simplify R into R 6.232 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 6.233 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 6.233 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1 6.233 * [taylor]: Taking taylor expansion of R in lambda1 6.233 * [backup-simplify]: Simplify R into R 6.233 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 6.233 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 6.233 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2 6.233 * [taylor]: Taking taylor expansion of R in phi2 6.233 * [backup-simplify]: Simplify R into R 6.233 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 6.234 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 6.234 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1 6.234 * [taylor]: Taking taylor expansion of R in phi1 6.234 * [backup-simplify]: Simplify R into R 6.234 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 6.235 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 6.235 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1 6.235 * [taylor]: Taking taylor expansion of R in phi1 6.235 * [backup-simplify]: Simplify R into R 6.235 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 6.235 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 6.236 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 6.236 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2 6.236 * [taylor]: Taking taylor expansion of R in phi2 6.236 * [backup-simplify]: Simplify R into R 6.236 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 6.237 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 6.237 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 6.237 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1 6.237 * [taylor]: Taking taylor expansion of R in lambda1 6.237 * [backup-simplify]: Simplify R into R 6.237 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 6.238 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 6.239 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 6.239 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2 6.239 * [taylor]: Taking taylor expansion of R in lambda2 6.239 * [backup-simplify]: Simplify R into R 6.239 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 6.239 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 6.240 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 6.240 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in R 6.240 * [taylor]: Taking taylor expansion of R in R 6.240 * [backup-simplify]: Simplify 0 into 0 6.240 * [backup-simplify]: Simplify 1 into 1 6.240 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in R 6.241 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 6.241 * [backup-simplify]: Simplify (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into 0 6.241 * [backup-simplify]: Simplify 0 into 0 6.242 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0 6.242 * [taylor]: Taking taylor expansion of 0 in phi2 6.242 * [backup-simplify]: Simplify 0 into 0 6.242 * [taylor]: Taking taylor expansion of 0 in lambda1 6.242 * [backup-simplify]: Simplify 0 into 0 6.242 * [taylor]: Taking taylor expansion of 0 in lambda2 6.242 * [backup-simplify]: Simplify 0 into 0 6.242 * [taylor]: Taking taylor expansion of 0 in R 6.242 * [backup-simplify]: Simplify 0 into 0 6.242 * [backup-simplify]: Simplify 0 into 0 6.243 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0 6.243 * [taylor]: Taking taylor expansion of 0 in lambda1 6.243 * [backup-simplify]: Simplify 0 into 0 6.243 * [taylor]: Taking taylor expansion of 0 in lambda2 6.243 * [backup-simplify]: Simplify 0 into 0 6.243 * [taylor]: Taking taylor expansion of 0 in R 6.243 * [backup-simplify]: Simplify 0 into 0 6.243 * [backup-simplify]: Simplify 0 into 0 6.244 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0 6.244 * [taylor]: Taking taylor expansion of 0 in lambda2 6.244 * [backup-simplify]: Simplify 0 into 0 6.244 * [taylor]: Taking taylor expansion of 0 in R 6.244 * [backup-simplify]: Simplify 0 into 0 6.244 * [backup-simplify]: Simplify 0 into 0 6.245 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0 6.245 * [taylor]: Taking taylor expansion of 0 in R 6.245 * [backup-simplify]: Simplify 0 into 0 6.245 * [backup-simplify]: Simplify 0 into 0 6.246 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 6.247 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 6.248 * [backup-simplify]: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0 6.248 * [taylor]: Taking taylor expansion of 0 in phi2 6.248 * [backup-simplify]: Simplify 0 into 0 6.248 * [taylor]: Taking taylor expansion of 0 in lambda1 6.248 * [backup-simplify]: Simplify 0 into 0 6.248 * [taylor]: Taking taylor expansion of 0 in lambda2 6.248 * [backup-simplify]: Simplify 0 into 0 6.248 * [taylor]: Taking taylor expansion of 0 in R 6.248 * [backup-simplify]: Simplify 0 into 0 6.249 * [backup-simplify]: Simplify 0 into 0 6.249 * [taylor]: Taking taylor expansion of 0 in lambda1 6.249 * [backup-simplify]: Simplify 0 into 0 6.249 * [taylor]: Taking taylor expansion of 0 in lambda2 6.249 * [backup-simplify]: Simplify 0 into 0 6.249 * [taylor]: Taking taylor expansion of 0 in R 6.249 * [backup-simplify]: Simplify 0 into 0 6.249 * [backup-simplify]: Simplify 0 into 0 6.250 * [backup-simplify]: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0 6.250 * [taylor]: Taking taylor expansion of 0 in lambda1 6.250 * [backup-simplify]: Simplify 0 into 0 6.250 * [taylor]: Taking taylor expansion of 0 in lambda2 6.250 * [backup-simplify]: Simplify 0 into 0 6.250 * [taylor]: Taking taylor expansion of 0 in R 6.250 * [backup-simplify]: Simplify 0 into 0 6.250 * [backup-simplify]: Simplify 0 into 0 6.250 * [taylor]: Taking taylor expansion of 0 in lambda2 6.250 * [backup-simplify]: Simplify 0 into 0 6.250 * [taylor]: Taking taylor expansion of 0 in R 6.250 * [backup-simplify]: Simplify 0 into 0 6.250 * [backup-simplify]: Simplify 0 into 0 6.250 * [taylor]: Taking taylor expansion of 0 in lambda2 6.250 * [backup-simplify]: Simplify 0 into 0 6.250 * [taylor]: Taking taylor expansion of 0 in R 6.250 * [backup-simplify]: Simplify 0 into 0 6.250 * [backup-simplify]: Simplify 0 into 0 6.252 * [backup-simplify]: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0 6.252 * [taylor]: Taking taylor expansion of 0 in lambda2 6.252 * [backup-simplify]: Simplify 0 into 0 6.252 * [taylor]: Taking taylor expansion of 0 in R 6.252 * [backup-simplify]: Simplify 0 into 0 6.252 * [backup-simplify]: Simplify 0 into 0 6.253 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (* R (* 1 (* 1 (* 1 1))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 6.254 * [backup-simplify]: Simplify (* (log (exp (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))))) (/ 1 R)) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 6.254 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 6.254 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in R 6.254 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in R 6.255 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 6.255 * [taylor]: Taking taylor expansion of R in R 6.255 * [backup-simplify]: Simplify 0 into 0 6.255 * [backup-simplify]: Simplify 1 into 1 6.256 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 1) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 6.256 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda2 6.256 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2 6.257 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 6.257 * [taylor]: Taking taylor expansion of R in lambda2 6.257 * [backup-simplify]: Simplify R into R 6.258 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 6.258 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda1 6.258 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1 6.258 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 6.259 * [taylor]: Taking taylor expansion of R in lambda1 6.260 * [backup-simplify]: Simplify R into R 6.261 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 6.261 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi2 6.261 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2 6.262 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 6.262 * [taylor]: Taking taylor expansion of R in phi2 6.262 * [backup-simplify]: Simplify R into R 6.263 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 6.263 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi1 6.263 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1 6.264 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 6.264 * [taylor]: Taking taylor expansion of R in phi1 6.264 * [backup-simplify]: Simplify R into R 6.265 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 6.265 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi1 6.265 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1 6.266 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 6.266 * [taylor]: Taking taylor expansion of R in phi1 6.266 * [backup-simplify]: Simplify R into R 6.267 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 6.267 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi2 6.267 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2 6.268 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 6.268 * [taylor]: Taking taylor expansion of R in phi2 6.268 * [backup-simplify]: Simplify R into R 6.269 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 6.269 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda1 6.269 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1 6.270 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 6.270 * [taylor]: Taking taylor expansion of R in lambda1 6.270 * [backup-simplify]: Simplify R into R 6.271 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 6.271 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda2 6.271 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2 6.272 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 6.272 * [taylor]: Taking taylor expansion of R in lambda2 6.272 * [backup-simplify]: Simplify R into R 6.272 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 6.272 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in R 6.273 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in R 6.273 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 6.273 * [taylor]: Taking taylor expansion of R in R 6.273 * [backup-simplify]: Simplify 0 into 0 6.273 * [backup-simplify]: Simplify 1 into 1 6.273 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 1) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 6.274 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 6.274 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0 6.274 * [taylor]: Taking taylor expansion of 0 in phi2 6.275 * [backup-simplify]: Simplify 0 into 0 6.275 * [taylor]: Taking taylor expansion of 0 in lambda1 6.275 * [backup-simplify]: Simplify 0 into 0 6.275 * [taylor]: Taking taylor expansion of 0 in lambda2 6.275 * [backup-simplify]: Simplify 0 into 0 6.275 * [taylor]: Taking taylor expansion of 0 in R 6.275 * [backup-simplify]: Simplify 0 into 0 6.275 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0 6.275 * [taylor]: Taking taylor expansion of 0 in lambda1 6.275 * [backup-simplify]: Simplify 0 into 0 6.275 * [taylor]: Taking taylor expansion of 0 in lambda2 6.275 * [backup-simplify]: Simplify 0 into 0 6.275 * [taylor]: Taking taylor expansion of 0 in R 6.275 * [backup-simplify]: Simplify 0 into 0 6.276 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0 6.276 * [taylor]: Taking taylor expansion of 0 in lambda2 6.276 * [backup-simplify]: Simplify 0 into 0 6.276 * [taylor]: Taking taylor expansion of 0 in R 6.276 * [backup-simplify]: Simplify 0 into 0 6.276 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0 6.276 * [taylor]: Taking taylor expansion of 0 in R 6.276 * [backup-simplify]: Simplify 0 into 0 6.278 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) (/ 0 1)))) into 0 6.278 * [backup-simplify]: Simplify 0 into 0 6.278 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 6.278 * [taylor]: Taking taylor expansion of 0 in phi2 6.278 * [backup-simplify]: Simplify 0 into 0 6.278 * [taylor]: Taking taylor expansion of 0 in lambda1 6.278 * [backup-simplify]: Simplify 0 into 0 6.279 * [taylor]: Taking taylor expansion of 0 in lambda2 6.279 * [backup-simplify]: Simplify 0 into 0 6.279 * [taylor]: Taking taylor expansion of 0 in R 6.279 * [backup-simplify]: Simplify 0 into 0 6.279 * [taylor]: Taking taylor expansion of 0 in lambda1 6.279 * [backup-simplify]: Simplify 0 into 0 6.279 * [taylor]: Taking taylor expansion of 0 in lambda2 6.279 * [backup-simplify]: Simplify 0 into 0 6.279 * [taylor]: Taking taylor expansion of 0 in R 6.279 * [backup-simplify]: Simplify 0 into 0 6.279 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 6.279 * [taylor]: Taking taylor expansion of 0 in lambda1 6.279 * [backup-simplify]: Simplify 0 into 0 6.279 * [taylor]: Taking taylor expansion of 0 in lambda2 6.279 * [backup-simplify]: Simplify 0 into 0 6.279 * [taylor]: Taking taylor expansion of 0 in R 6.279 * [backup-simplify]: Simplify 0 into 0 6.279 * [taylor]: Taking taylor expansion of 0 in lambda2 6.279 * [backup-simplify]: Simplify 0 into 0 6.279 * [taylor]: Taking taylor expansion of 0 in R 6.279 * [backup-simplify]: Simplify 0 into 0 6.279 * [taylor]: Taking taylor expansion of 0 in lambda2 6.279 * [backup-simplify]: Simplify 0 into 0 6.279 * [taylor]: Taking taylor expansion of 0 in R 6.279 * [backup-simplify]: Simplify 0 into 0 6.280 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 6.280 * [taylor]: Taking taylor expansion of 0 in lambda2 6.280 * [backup-simplify]: Simplify 0 into 0 6.280 * [taylor]: Taking taylor expansion of 0 in R 6.280 * [backup-simplify]: Simplify 0 into 0 6.280 * [taylor]: Taking taylor expansion of 0 in R 6.280 * [backup-simplify]: Simplify 0 into 0 6.280 * [taylor]: Taking taylor expansion of 0 in R 6.280 * [backup-simplify]: Simplify 0 into 0 6.280 * [taylor]: Taking taylor expansion of 0 in R 6.280 * [backup-simplify]: Simplify 0 into 0 6.281 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 6.281 * [taylor]: Taking taylor expansion of 0 in R 6.281 * [backup-simplify]: Simplify 0 into 0 6.281 * [backup-simplify]: Simplify 0 into 0 6.281 * [backup-simplify]: Simplify 0 into 0 6.281 * [backup-simplify]: Simplify 0 into 0 6.281 * [backup-simplify]: Simplify 0 into 0 6.283 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.283 * [backup-simplify]: Simplify 0 into 0 6.284 * [backup-simplify]: Simplify (* (acos (+ (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1))))))))) (* (/ 1 (/ 1 R)) (* 1 (* 1 (* 1 1))))) into (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) 6.284 * [backup-simplify]: Simplify (* (log (exp (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))))) (/ 1 (- R))) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) 6.284 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 6.284 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in R 6.284 * [taylor]: Taking taylor expansion of -1 in R 6.284 * [backup-simplify]: Simplify -1 into -1 6.284 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in R 6.284 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in R 6.285 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 6.285 * [taylor]: Taking taylor expansion of R in R 6.285 * [backup-simplify]: Simplify 0 into 0 6.285 * [backup-simplify]: Simplify 1 into 1 6.286 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 1) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 6.286 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in lambda2 6.286 * [taylor]: Taking taylor expansion of -1 in lambda2 6.286 * [backup-simplify]: Simplify -1 into -1 6.286 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in lambda2 6.286 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2 6.286 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 6.286 * [taylor]: Taking taylor expansion of R in lambda2 6.286 * [backup-simplify]: Simplify R into R 6.287 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 6.287 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in lambda1 6.287 * [taylor]: Taking taylor expansion of -1 in lambda1 6.287 * [backup-simplify]: Simplify -1 into -1 6.287 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in lambda1 6.287 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 6.287 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 6.287 * [taylor]: Taking taylor expansion of R in lambda1 6.287 * [backup-simplify]: Simplify R into R 6.288 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 6.288 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in phi2 6.288 * [taylor]: Taking taylor expansion of -1 in phi2 6.288 * [backup-simplify]: Simplify -1 into -1 6.288 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in phi2 6.288 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2 6.288 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 6.288 * [taylor]: Taking taylor expansion of R in phi2 6.288 * [backup-simplify]: Simplify R into R 6.289 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 6.289 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in phi1 6.289 * [taylor]: Taking taylor expansion of -1 in phi1 6.289 * [backup-simplify]: Simplify -1 into -1 6.289 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in phi1 6.289 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 6.289 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 6.289 * [taylor]: Taking taylor expansion of R in phi1 6.289 * [backup-simplify]: Simplify R into R 6.290 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 6.290 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in phi1 6.290 * [taylor]: Taking taylor expansion of -1 in phi1 6.290 * [backup-simplify]: Simplify -1 into -1 6.290 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in phi1 6.290 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 6.290 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 6.290 * [taylor]: Taking taylor expansion of R in phi1 6.290 * [backup-simplify]: Simplify R into R 6.291 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 6.291 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) 6.291 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) in phi2 6.291 * [taylor]: Taking taylor expansion of -1 in phi2 6.291 * [backup-simplify]: Simplify -1 into -1 6.291 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) in phi2 6.291 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in phi2 6.292 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 6.292 * [taylor]: Taking taylor expansion of R in phi2 6.292 * [backup-simplify]: Simplify R into R 6.292 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) 6.293 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) 6.293 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in lambda1 6.293 * [taylor]: Taking taylor expansion of -1 in lambda1 6.293 * [backup-simplify]: Simplify -1 into -1 6.293 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in lambda1 6.293 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 6.293 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 6.293 * [taylor]: Taking taylor expansion of R in lambda1 6.293 * [backup-simplify]: Simplify R into R 6.294 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 6.294 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) 6.294 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) in lambda2 6.294 * [taylor]: Taking taylor expansion of -1 in lambda2 6.294 * [backup-simplify]: Simplify -1 into -1 6.294 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) in lambda2 6.294 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in lambda2 6.295 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 6.295 * [taylor]: Taking taylor expansion of R in lambda2 6.295 * [backup-simplify]: Simplify R into R 6.295 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) 6.296 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) 6.296 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in R 6.296 * [taylor]: Taking taylor expansion of -1 in R 6.296 * [backup-simplify]: Simplify -1 into -1 6.296 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in R 6.296 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in R 6.296 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 6.296 * [taylor]: Taking taylor expansion of R in R 6.296 * [backup-simplify]: Simplify 0 into 0 6.296 * [backup-simplify]: Simplify 1 into 1 6.297 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 1) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 6.297 * [backup-simplify]: Simplify (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) into (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) 6.298 * [backup-simplify]: Simplify (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) 6.298 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)))) into 0 6.299 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R))) into 0 6.299 * [taylor]: Taking taylor expansion of 0 in phi2 6.299 * [backup-simplify]: Simplify 0 into 0 6.299 * [taylor]: Taking taylor expansion of 0 in lambda1 6.299 * [backup-simplify]: Simplify 0 into 0 6.299 * [taylor]: Taking taylor expansion of 0 in lambda2 6.299 * [backup-simplify]: Simplify 0 into 0 6.299 * [taylor]: Taking taylor expansion of 0 in R 6.299 * [backup-simplify]: Simplify 0 into 0 6.300 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)))) into 0 6.302 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R))) into 0 6.302 * [taylor]: Taking taylor expansion of 0 in lambda1 6.302 * [backup-simplify]: Simplify 0 into 0 6.302 * [taylor]: Taking taylor expansion of 0 in lambda2 6.302 * [backup-simplify]: Simplify 0 into 0 6.302 * [taylor]: Taking taylor expansion of 0 in R 6.302 * [backup-simplify]: Simplify 0 into 0 6.303 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)))) into 0 6.304 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R))) into 0 6.304 * [taylor]: Taking taylor expansion of 0 in lambda2 6.304 * [backup-simplify]: Simplify 0 into 0 6.304 * [taylor]: Taking taylor expansion of 0 in R 6.304 * [backup-simplify]: Simplify 0 into 0 6.305 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)))) into 0 6.307 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R))) into 0 6.307 * [taylor]: Taking taylor expansion of 0 in R 6.307 * [backup-simplify]: Simplify 0 into 0 6.309 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) (/ 0 1)))) into 0 6.310 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))) into 0 6.310 * [backup-simplify]: Simplify 0 into 0 6.311 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 6.313 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)))) into 0 6.313 * [taylor]: Taking taylor expansion of 0 in phi2 6.313 * [backup-simplify]: Simplify 0 into 0 6.313 * [taylor]: Taking taylor expansion of 0 in lambda1 6.313 * [backup-simplify]: Simplify 0 into 0 6.313 * [taylor]: Taking taylor expansion of 0 in lambda2 6.313 * [backup-simplify]: Simplify 0 into 0 6.313 * [taylor]: Taking taylor expansion of 0 in R 6.313 * [backup-simplify]: Simplify 0 into 0 6.313 * [taylor]: Taking taylor expansion of 0 in lambda1 6.313 * [backup-simplify]: Simplify 0 into 0 6.313 * [taylor]: Taking taylor expansion of 0 in lambda2 6.313 * [backup-simplify]: Simplify 0 into 0 6.313 * [taylor]: Taking taylor expansion of 0 in R 6.313 * [backup-simplify]: Simplify 0 into 0 6.314 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 6.316 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)))) into 0 6.316 * [taylor]: Taking taylor expansion of 0 in lambda1 6.316 * [backup-simplify]: Simplify 0 into 0 6.316 * [taylor]: Taking taylor expansion of 0 in lambda2 6.316 * [backup-simplify]: Simplify 0 into 0 6.316 * [taylor]: Taking taylor expansion of 0 in R 6.316 * [backup-simplify]: Simplify 0 into 0 6.316 * [taylor]: Taking taylor expansion of 0 in lambda2 6.316 * [backup-simplify]: Simplify 0 into 0 6.316 * [taylor]: Taking taylor expansion of 0 in R 6.317 * [backup-simplify]: Simplify 0 into 0 6.317 * [taylor]: Taking taylor expansion of 0 in lambda2 6.317 * [backup-simplify]: Simplify 0 into 0 6.317 * [taylor]: Taking taylor expansion of 0 in R 6.317 * [backup-simplify]: Simplify 0 into 0 6.318 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 6.319 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)))) into 0 6.319 * [taylor]: Taking taylor expansion of 0 in lambda2 6.319 * [backup-simplify]: Simplify 0 into 0 6.319 * [taylor]: Taking taylor expansion of 0 in R 6.319 * [backup-simplify]: Simplify 0 into 0 6.320 * [taylor]: Taking taylor expansion of 0 in R 6.320 * [backup-simplify]: Simplify 0 into 0 6.320 * [taylor]: Taking taylor expansion of 0 in R 6.320 * [backup-simplify]: Simplify 0 into 0 6.320 * [taylor]: Taking taylor expansion of 0 in R 6.320 * [backup-simplify]: Simplify 0 into 0 6.321 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 6.323 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)))) into 0 6.323 * [taylor]: Taking taylor expansion of 0 in R 6.323 * [backup-simplify]: Simplify 0 into 0 6.323 * [backup-simplify]: Simplify 0 into 0 6.323 * [backup-simplify]: Simplify 0 into 0 6.323 * [backup-simplify]: Simplify 0 into 0 6.323 * [backup-simplify]: Simplify 0 into 0 6.325 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.327 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))))) into 0 6.327 * [backup-simplify]: Simplify 0 into 0 6.329 * [backup-simplify]: Simplify (* (* -1 (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2))))))))))) (* (/ 1 (/ 1 (- R))) (* 1 (* 1 (* 1 1))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 6.329 * * * [progress]: simplifying candidates 6.329 * * * * [progress]: [ 1 / 74 ] simplifiying candidate # 6.329 * * * * [progress]: [ 2 / 74 ] simplifiying candidate # 6.329 * * * * [progress]: [ 3 / 74 ] simplifiying candidate # 6.329 * * * * [progress]: [ 4 / 74 ] simplifiying candidate # 6.329 * * * * [progress]: [ 5 / 74 ] simplifiying candidate # 6.329 * * * * [progress]: [ 6 / 74 ] simplifiying candidate # 6.330 * * * * [progress]: [ 7 / 74 ] simplifiying candidate # 6.330 * * * * [progress]: [ 8 / 74 ] simplifiying candidate # 6.330 * * * * [progress]: [ 9 / 74 ] simplifiying candidate #real (real->posit16 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R))> 6.330 * * * * [progress]: [ 10 / 74 ] simplifiying candidate # 6.330 * * * * [progress]: [ 11 / 74 ] simplifiying candidate # 6.330 * * * * [progress]: [ 12 / 74 ] simplifiying candidate # 6.330 * * * * [progress]: [ 13 / 74 ] simplifiying candidate # 6.330 * * * * [progress]: [ 14 / 74 ] simplifiying candidate # 6.330 * * * * [progress]: [ 15 / 74 ] simplifiying candidate # 6.330 * * * * [progress]: [ 16 / 74 ] simplifiying candidate # 6.330 * * * * [progress]: [ 17 / 74 ] simplifiying candidate # 6.330 * * * * [progress]: [ 18 / 74 ] simplifiying candidate # 6.330 * * * * [progress]: [ 19 / 74 ] simplifiying candidate # 6.331 * * * * [progress]: [ 20 / 74 ] simplifiying candidate # 6.331 * * * * [progress]: [ 21 / 74 ] simplifiying candidate # 6.331 * * * * [progress]: [ 22 / 74 ] simplifiying candidate # 6.331 * * * * [progress]: [ 23 / 74 ] simplifiying candidate # 6.331 * * * * [progress]: [ 24 / 74 ] simplifiying candidate # 6.331 * * * * [progress]: [ 25 / 74 ] simplifiying candidate # 6.331 * * * * [progress]: [ 26 / 74 ] simplifiying candidate #real (real->posit16 (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R))> 6.331 * * * * [progress]: [ 27 / 74 ] simplifiying candidate # 6.331 * * * * [progress]: [ 28 / 74 ] simplifiying candidate # 6.331 * * * * [progress]: [ 29 / 74 ] simplifiying candidate # 6.331 * * * * [progress]: [ 30 / 74 ] simplifiying candidate # 6.331 * * * * [progress]: [ 31 / 74 ] simplifiying candidate # 6.331 * * * * [progress]: [ 32 / 74 ] simplifiying candidate # 6.332 * * * * [progress]: [ 33 / 74 ] simplifiying candidate # 6.332 * * * * [progress]: [ 34 / 74 ] simplifiying candidate # 6.332 * * * * [progress]: [ 35 / 74 ] simplifiying candidate # 6.332 * * * * [progress]: [ 36 / 74 ] simplifiying candidate # 6.332 * * * * [progress]: [ 37 / 74 ] simplifiying candidate # 6.332 * * * * [progress]: [ 38 / 74 ] simplifiying candidate # 6.332 * * * * [progress]: [ 39 / 74 ] simplifiying candidate #real (real->posit16 (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R))> 6.332 * * * * [progress]: [ 40 / 74 ] simplifiying candidate # 6.332 * * * * [progress]: [ 41 / 74 ] simplifiying candidate # 6.332 * * * * [progress]: [ 42 / 74 ] simplifiying candidate # 6.333 * * * * [progress]: [ 43 / 74 ] simplifiying candidate # 6.333 * * * * [progress]: [ 44 / 74 ] simplifiying candidate # 6.333 * * * * [progress]: [ 45 / 74 ] simplifiying candidate # 6.333 * * * * [progress]: [ 46 / 74 ] simplifiying candidate # 6.333 * * * * [progress]: [ 47 / 74 ] simplifiying candidate # 6.333 * * * * [progress]: [ 48 / 74 ] simplifiying candidate # 6.333 * * * * [progress]: [ 49 / 74 ] simplifiying candidate # 6.333 * * * * [progress]: [ 50 / 74 ] simplifiying candidate # 6.333 * * * * [progress]: [ 51 / 74 ] simplifiying candidate # 6.333 * * * * [progress]: [ 52 / 74 ] simplifiying candidate # 6.333 * * * * [progress]: [ 53 / 74 ] simplifiying candidate # 6.334 * * * * [progress]: [ 54 / 74 ] simplifiying candidate # 6.334 * * * * [progress]: [ 55 / 74 ] simplifiying candidate # 6.334 * * * * [progress]: [ 56 / 74 ] simplifiying candidate # 6.334 * * * * [progress]: [ 57 / 74 ] simplifiying candidate # 6.334 * * * * [progress]: [ 58 / 74 ] simplifiying candidate # 6.334 * * * * [progress]: [ 59 / 74 ] simplifiying candidate # 6.334 * * * * [progress]: [ 60 / 74 ] simplifiying candidate # 6.334 * * * * [progress]: [ 61 / 74 ] simplifiying candidate #real (real->posit16 (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))))> 6.334 * * * * [progress]: [ 62 / 74 ] simplifiying candidate # 6.335 * * * * [progress]: [ 63 / 74 ] simplifiying candidate # 6.335 * * * * [progress]: [ 64 / 74 ] simplifiying candidate # 6.335 * * * * [progress]: [ 65 / 74 ] simplifiying candidate # 6.335 * * * * [progress]: [ 66 / 74 ] simplifiying candidate # 6.335 * * * * [progress]: [ 67 / 74 ] simplifiying candidate # 6.335 * * * * [progress]: [ 68 / 74 ] simplifiying candidate # 6.335 * * * * [progress]: [ 69 / 74 ] simplifiying candidate # 6.335 * * * * [progress]: [ 70 / 74 ] simplifiying candidate # 6.335 * * * * [progress]: [ 71 / 74 ] simplifiying candidate # 6.335 * * * * [progress]: [ 72 / 74 ] simplifiying candidate # 6.335 * * * * [progress]: [ 73 / 74 ] simplifiying candidate # 6.335 * * * * [progress]: [ 74 / 74 ] simplifiying candidate # 6.337 * [simplify]: Simplifying: (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (real->posit16 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log (* (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (log (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (log (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (log (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (log 1) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (log (exp (/ PI 2))) (log (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (log (exp (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (log (exp (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (log (exp 1)) (log (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (exp (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (* (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (* (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (real->posit16 (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (exp (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (exp (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (exp 1) (exp (/ PI 2)) (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (exp (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (* (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (real->posit16 (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R) (+ (log (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (log R)) (log (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (exp (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (* (* (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (* (* R R) R)) (* (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))) (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (* (* (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (sqrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (sqrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (* (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt R)) (* (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt R)) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (cbrt R) (cbrt R))) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt R)) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) 1) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R) (* (log (exp (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R) (* (log (exp (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R) (* (log (exp 1)) R) (* (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R) (* (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R) (real->posit16 (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 6.341 * * [simplify]: iteration 0: 107 enodes 6.370 * * [simplify]: iteration 1: 190 enodes 6.403 * * [simplify]: iteration 2: 383 enodes 6.500 * * [simplify]: iteration 3: 703 enodes 6.732 * * [simplify]: iteration 4: 998 enodes 7.044 * * [simplify]: iteration 5: 1614 enodes 7.363 * * [simplify]: iteration complete: 2001 enodes 7.363 * * [simplify]: Extracting #0: cost 41 inf + 0 7.364 * * [simplify]: Extracting #1: cost 185 inf + 4 7.366 * * [simplify]: Extracting #2: cost 323 inf + 1345 7.370 * * [simplify]: Extracting #3: cost 325 inf + 4597 7.381 * * [simplify]: Extracting #4: cost 336 inf + 6402 7.387 * * [simplify]: Extracting #5: cost 299 inf + 10253 7.393 * * [simplify]: Extracting #6: cost 283 inf + 14673 7.398 * * [simplify]: Extracting #7: cost 279 inf + 17194 7.408 * * [simplify]: Extracting #8: cost 216 inf + 78112 7.449 * * [simplify]: Extracting #9: cost 58 inf + 248757 7.525 * * [simplify]: Extracting #10: cost 6 inf + 308388 7.607 * * [simplify]: Extracting #11: cost 0 inf + 316622 7.667 * [simplify]: Simplified to: (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) (log (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (exp (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (* (cbrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (cbrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (cbrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (* (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (sqrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (sqrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (real->posit16 (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (log (* (cbrt (exp (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (cbrt (exp (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))))) (log (cbrt (exp (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))) (* 1/2 (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (* 1/2 (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) 0 (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) (* (cbrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (cbrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (sqrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) 1 (log (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (exp (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (* (cbrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (cbrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (cbrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (* (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (sqrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (sqrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (real->posit16 (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (exp (* (cbrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (cbrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))) (exp (sqrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) E (sqrt (exp PI)) (exp (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) (exp (exp (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (* (cbrt (exp (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (cbrt (exp (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))) (cbrt (exp (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (exp (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) 3)) (sqrt (exp (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (sqrt (exp (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (real->posit16 (exp (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (log (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (log (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (exp (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (* (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (* (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))) (* (cbrt (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (cbrt (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))) (cbrt (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (* (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (* (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))) (sqrt (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (sqrt (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (* (sqrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (sqrt R)) (* (sqrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (sqrt R)) (* (* (cbrt R) (cbrt R)) (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (* (sqrt R) (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (* (* (cbrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (cbrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) R) (* R (sqrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) R (* (cbrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) R) (* R (sqrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (real->posit16 (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) (exp (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (exp (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (exp (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) 7.684 * * * [progress]: adding candidates to table 8.441 * * [progress]: iteration 4 / 4 8.441 * * * [progress]: picking best candidate 8.631 * * * * [pick]: Picked # 8.631 * * * [progress]: localizing error 8.690 * * * [progress]: generating rewritten candidates 8.690 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 8.694 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 8.699 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 8.710 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 1) 8.733 * * * [progress]: generating series expansions 8.733 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 8.734 * [backup-simplify]: Simplify (log (exp (* (sin phi1) (sin phi2)))) into (* (sin phi1) (sin phi2)) 8.734 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 8.734 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 8.734 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 8.734 * [taylor]: Taking taylor expansion of phi1 in phi2 8.734 * [backup-simplify]: Simplify phi1 into phi1 8.734 * [backup-simplify]: Simplify (sin phi1) into (sin phi1) 8.734 * [backup-simplify]: Simplify (cos phi1) into (cos phi1) 8.734 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 8.734 * [taylor]: Taking taylor expansion of phi2 in phi2 8.734 * [backup-simplify]: Simplify 0 into 0 8.734 * [backup-simplify]: Simplify 1 into 1 8.734 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 8.734 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 8.734 * [taylor]: Taking taylor expansion of phi1 in phi1 8.734 * [backup-simplify]: Simplify 0 into 0 8.734 * [backup-simplify]: Simplify 1 into 1 8.734 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 8.734 * [taylor]: Taking taylor expansion of phi2 in phi1 8.734 * [backup-simplify]: Simplify phi2 into phi2 8.734 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 8.734 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 8.734 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 8.734 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 8.734 * [taylor]: Taking taylor expansion of phi1 in phi1 8.734 * [backup-simplify]: Simplify 0 into 0 8.734 * [backup-simplify]: Simplify 1 into 1 8.734 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 8.734 * [taylor]: Taking taylor expansion of phi2 in phi1 8.734 * [backup-simplify]: Simplify phi2 into phi2 8.734 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 8.734 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 8.734 * [backup-simplify]: Simplify (* (sin phi2) 1) into (sin phi2) 8.734 * [backup-simplify]: Simplify (* (cos phi2) 0) into 0 8.734 * [backup-simplify]: Simplify (+ (sin phi2) 0) into (sin phi2) 8.734 * [backup-simplify]: Simplify (* 0 (sin phi2)) into 0 8.734 * [taylor]: Taking taylor expansion of 0 in phi2 8.734 * [backup-simplify]: Simplify 0 into 0 8.734 * [backup-simplify]: Simplify 0 into 0 8.735 * [backup-simplify]: Simplify (+ 0) into 0 8.735 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (* 0 1)) into 0 8.736 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.736 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (* 0 0)) into 0 8.736 * [backup-simplify]: Simplify (+ 0 0) into 0 8.737 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 8.737 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin phi2))) into (sin phi2) 8.737 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 8.737 * [taylor]: Taking taylor expansion of phi2 in phi2 8.737 * [backup-simplify]: Simplify 0 into 0 8.737 * [backup-simplify]: Simplify 1 into 1 8.737 * [backup-simplify]: Simplify 0 into 0 8.737 * [backup-simplify]: Simplify 0 into 0 8.738 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.738 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (* 0 1))) into 0 8.739 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.739 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* 0 0))) into 0 8.739 * [backup-simplify]: Simplify (+ 0 0) into 0 8.740 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.740 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin phi2)))) into 0 8.740 * [taylor]: Taking taylor expansion of 0 in phi2 8.740 * [backup-simplify]: Simplify 0 into 0 8.740 * [backup-simplify]: Simplify 0 into 0 8.741 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 8.741 * [backup-simplify]: Simplify 1 into 1 8.741 * [backup-simplify]: Simplify 0 into 0 8.742 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.742 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.743 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 8.743 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 8.744 * [backup-simplify]: Simplify (+ 0 0) into 0 8.745 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 8.745 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin phi2))))) into (- (* 1/6 (sin phi2))) 8.745 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 8.745 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 8.746 * [taylor]: Taking taylor expansion of 1/6 in phi2 8.746 * [backup-simplify]: Simplify 1/6 into 1/6 8.746 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 8.746 * [taylor]: Taking taylor expansion of phi2 in phi2 8.746 * [backup-simplify]: Simplify 0 into 0 8.746 * [backup-simplify]: Simplify 1 into 1 8.746 * [backup-simplify]: Simplify (* 1/6 0) into 0 8.746 * [backup-simplify]: Simplify (- 0) into 0 8.746 * [backup-simplify]: Simplify 0 into 0 8.746 * [backup-simplify]: Simplify 0 into 0 8.747 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.747 * [backup-simplify]: Simplify 0 into 0 8.747 * [backup-simplify]: Simplify 0 into 0 8.748 * [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 8.749 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.750 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 8.750 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 8.750 * [backup-simplify]: Simplify (+ 0 0) into 0 8.751 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 8.753 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin phi2)))))) into 0 8.753 * [taylor]: Taking taylor expansion of 0 in phi2 8.753 * [backup-simplify]: Simplify 0 into 0 8.753 * [backup-simplify]: Simplify 0 into 0 8.753 * [backup-simplify]: Simplify (* 1 (* phi2 phi1)) into (* phi1 phi2) 8.753 * [backup-simplify]: Simplify (log (exp (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 8.753 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in (phi1 phi2) around 0 8.753 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2 8.753 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 8.753 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 8.753 * [taylor]: Taking taylor expansion of phi2 in phi2 8.753 * [backup-simplify]: Simplify 0 into 0 8.753 * [backup-simplify]: Simplify 1 into 1 8.754 * [backup-simplify]: Simplify (/ 1 1) into 1 8.754 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 8.754 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 8.754 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 8.754 * [taylor]: Taking taylor expansion of phi1 in phi2 8.754 * [backup-simplify]: Simplify phi1 into phi1 8.754 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 8.754 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 8.754 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 8.754 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1 8.754 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 8.754 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 8.754 * [taylor]: Taking taylor expansion of phi2 in phi1 8.754 * [backup-simplify]: Simplify phi2 into phi2 8.754 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 8.754 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 8.754 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 8.754 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 8.754 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 8.754 * [taylor]: Taking taylor expansion of phi1 in phi1 8.754 * [backup-simplify]: Simplify 0 into 0 8.754 * [backup-simplify]: Simplify 1 into 1 8.755 * [backup-simplify]: Simplify (/ 1 1) into 1 8.755 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 8.755 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1 8.755 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 8.755 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 8.755 * [taylor]: Taking taylor expansion of phi2 in phi1 8.755 * [backup-simplify]: Simplify phi2 into phi2 8.755 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 8.755 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 8.755 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 8.755 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 8.755 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 8.755 * [taylor]: Taking taylor expansion of phi1 in phi1 8.755 * [backup-simplify]: Simplify 0 into 0 8.755 * [backup-simplify]: Simplify 1 into 1 8.756 * [backup-simplify]: Simplify (/ 1 1) into 1 8.756 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 8.756 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 1) into (sin (/ 1 phi2)) 8.756 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 0) into 0 8.756 * [backup-simplify]: Simplify (+ (sin (/ 1 phi2)) 0) into (sin (/ 1 phi2)) 8.756 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 8.756 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2 8.756 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 8.756 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 8.756 * [taylor]: Taking taylor expansion of phi2 in phi2 8.757 * [backup-simplify]: Simplify 0 into 0 8.757 * [backup-simplify]: Simplify 1 into 1 8.757 * [backup-simplify]: Simplify (/ 1 1) into 1 8.757 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 8.757 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 8.757 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 8.757 * [taylor]: Taking taylor expansion of phi1 in phi2 8.757 * [backup-simplify]: Simplify phi1 into phi1 8.757 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 8.757 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 8.757 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 8.757 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 1) into (sin (/ 1 phi1)) 8.758 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 0) into 0 8.758 * [backup-simplify]: Simplify (+ (sin (/ 1 phi1)) 0) into (sin (/ 1 phi1)) 8.758 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 8.758 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 8.758 * [backup-simplify]: Simplify (+ 0) into 0 8.759 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 1)) into 0 8.759 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 8.760 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.760 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 0)) into 0 8.761 * [backup-simplify]: Simplify (+ 0 0) into 0 8.761 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0 8.761 * [taylor]: Taking taylor expansion of 0 in phi2 8.761 * [backup-simplify]: Simplify 0 into 0 8.761 * [backup-simplify]: Simplify 0 into 0 8.761 * [backup-simplify]: Simplify (+ 0) into 0 8.762 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 1)) into 0 8.762 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 8.763 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.763 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 0)) into 0 8.764 * [backup-simplify]: Simplify (+ 0 0) into 0 8.764 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0 8.764 * [backup-simplify]: Simplify 0 into 0 8.765 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.766 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 8.766 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 8.767 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.767 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 8.767 * [backup-simplify]: Simplify (+ 0 0) into 0 8.768 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0 8.768 * [taylor]: Taking taylor expansion of 0 in phi2 8.768 * [backup-simplify]: Simplify 0 into 0 8.768 * [backup-simplify]: Simplify 0 into 0 8.768 * [backup-simplify]: Simplify 0 into 0 8.769 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.770 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 8.770 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 8.771 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.771 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 8.772 * [backup-simplify]: Simplify (+ 0 0) into 0 8.772 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0 8.772 * [backup-simplify]: Simplify 0 into 0 8.773 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.774 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.775 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 8.776 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 8.777 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 8.777 * [backup-simplify]: Simplify (+ 0 0) into 0 8.778 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1)))))) into 0 8.778 * [taylor]: Taking taylor expansion of 0 in phi2 8.778 * [backup-simplify]: Simplify 0 into 0 8.778 * [backup-simplify]: Simplify 0 into 0 8.779 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) into (* (sin phi1) (sin phi2)) 8.779 * [backup-simplify]: Simplify (log (exp (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 8.779 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 8.779 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 8.779 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 8.779 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 8.779 * [taylor]: Taking taylor expansion of -1 in phi2 8.779 * [backup-simplify]: Simplify -1 into -1 8.779 * [taylor]: Taking taylor expansion of phi1 in phi2 8.779 * [backup-simplify]: Simplify phi1 into phi1 8.779 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 8.779 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 8.779 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 8.779 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 8.779 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 8.779 * [taylor]: Taking taylor expansion of -1 in phi2 8.779 * [backup-simplify]: Simplify -1 into -1 8.779 * [taylor]: Taking taylor expansion of phi2 in phi2 8.779 * [backup-simplify]: Simplify 0 into 0 8.779 * [backup-simplify]: Simplify 1 into 1 8.780 * [backup-simplify]: Simplify (/ -1 1) into -1 8.780 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 8.780 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 8.780 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 8.780 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 8.780 * [taylor]: Taking taylor expansion of -1 in phi1 8.780 * [backup-simplify]: Simplify -1 into -1 8.780 * [taylor]: Taking taylor expansion of phi1 in phi1 8.780 * [backup-simplify]: Simplify 0 into 0 8.780 * [backup-simplify]: Simplify 1 into 1 8.781 * [backup-simplify]: Simplify (/ -1 1) into -1 8.781 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 8.781 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 8.781 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 8.781 * [taylor]: Taking taylor expansion of -1 in phi1 8.781 * [backup-simplify]: Simplify -1 into -1 8.781 * [taylor]: Taking taylor expansion of phi2 in phi1 8.781 * [backup-simplify]: Simplify phi2 into phi2 8.781 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 8.781 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 8.781 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 8.781 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 8.781 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 8.781 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 8.781 * [taylor]: Taking taylor expansion of -1 in phi1 8.781 * [backup-simplify]: Simplify -1 into -1 8.781 * [taylor]: Taking taylor expansion of phi1 in phi1 8.781 * [backup-simplify]: Simplify 0 into 0 8.781 * [backup-simplify]: Simplify 1 into 1 8.782 * [backup-simplify]: Simplify (/ -1 1) into -1 8.782 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 8.782 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 8.782 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 8.782 * [taylor]: Taking taylor expansion of -1 in phi1 8.782 * [backup-simplify]: Simplify -1 into -1 8.782 * [taylor]: Taking taylor expansion of phi2 in phi1 8.782 * [backup-simplify]: Simplify phi2 into phi2 8.782 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 8.782 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 8.782 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 8.782 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 1) into (sin (/ -1 phi2)) 8.782 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 0) into 0 8.783 * [backup-simplify]: Simplify (+ (sin (/ -1 phi2)) 0) into (sin (/ -1 phi2)) 8.783 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 8.783 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 8.783 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 8.783 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 8.783 * [taylor]: Taking taylor expansion of -1 in phi2 8.783 * [backup-simplify]: Simplify -1 into -1 8.783 * [taylor]: Taking taylor expansion of phi1 in phi2 8.783 * [backup-simplify]: Simplify phi1 into phi1 8.783 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 8.783 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 8.783 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 8.783 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 8.783 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 8.783 * [taylor]: Taking taylor expansion of -1 in phi2 8.783 * [backup-simplify]: Simplify -1 into -1 8.783 * [taylor]: Taking taylor expansion of phi2 in phi2 8.783 * [backup-simplify]: Simplify 0 into 0 8.783 * [backup-simplify]: Simplify 1 into 1 8.784 * [backup-simplify]: Simplify (/ -1 1) into -1 8.784 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 8.784 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 1) into (sin (/ -1 phi1)) 8.784 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 0) into 0 8.784 * [backup-simplify]: Simplify (+ (sin (/ -1 phi1)) 0) into (sin (/ -1 phi1)) 8.784 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 8.785 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 8.785 * [backup-simplify]: Simplify (+ 0) into 0 8.786 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 1)) into 0 8.786 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0 8.787 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.787 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 0)) into 0 8.788 * [backup-simplify]: Simplify (+ 0 0) into 0 8.788 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 8.788 * [taylor]: Taking taylor expansion of 0 in phi2 8.788 * [backup-simplify]: Simplify 0 into 0 8.788 * [backup-simplify]: Simplify 0 into 0 8.788 * [backup-simplify]: Simplify (+ 0) into 0 8.789 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 1)) into 0 8.789 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0 8.790 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.790 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 0)) into 0 8.791 * [backup-simplify]: Simplify (+ 0 0) into 0 8.791 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 8.791 * [backup-simplify]: Simplify 0 into 0 8.792 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.793 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 8.793 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 8.794 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.795 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 8.795 * [backup-simplify]: Simplify (+ 0 0) into 0 8.796 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 8.796 * [taylor]: Taking taylor expansion of 0 in phi2 8.796 * [backup-simplify]: Simplify 0 into 0 8.796 * [backup-simplify]: Simplify 0 into 0 8.796 * [backup-simplify]: Simplify 0 into 0 8.797 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.798 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 8.798 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 8.799 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.799 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 8.800 * [backup-simplify]: Simplify (+ 0 0) into 0 8.800 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 8.800 * [backup-simplify]: Simplify 0 into 0 8.801 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.802 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.803 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 8.804 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 8.805 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 8.806 * [backup-simplify]: Simplify (+ 0 0) into 0 8.807 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2)))))) into 0 8.807 * [taylor]: Taking taylor expansion of 0 in phi2 8.807 * [backup-simplify]: Simplify 0 into 0 8.807 * [backup-simplify]: Simplify 0 into 0 8.807 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) into (* (sin phi1) (sin phi2)) 8.807 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 8.808 * [backup-simplify]: Simplify (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 8.808 * [approximate]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 8.808 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 8.808 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 8.809 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 8.809 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 8.809 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 8.810 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 8.810 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 8.810 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 8.810 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 8.811 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 8.811 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 8.812 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 8.812 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 8.812 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 8.812 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 8.812 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 8.813 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 8.813 * [taylor]: Taking taylor expansion of 0 in phi2 8.813 * [backup-simplify]: Simplify 0 into 0 8.813 * [taylor]: Taking taylor expansion of 0 in lambda1 8.813 * [backup-simplify]: Simplify 0 into 0 8.813 * [taylor]: Taking taylor expansion of 0 in lambda2 8.813 * [backup-simplify]: Simplify 0 into 0 8.813 * [backup-simplify]: Simplify 0 into 0 8.813 * [taylor]: Taking taylor expansion of 0 in lambda1 8.813 * [backup-simplify]: Simplify 0 into 0 8.813 * [taylor]: Taking taylor expansion of 0 in lambda2 8.813 * [backup-simplify]: Simplify 0 into 0 8.813 * [backup-simplify]: Simplify 0 into 0 8.813 * [taylor]: Taking taylor expansion of 0 in lambda2 8.813 * [backup-simplify]: Simplify 0 into 0 8.813 * [backup-simplify]: Simplify 0 into 0 8.813 * [backup-simplify]: Simplify 0 into 0 8.813 * [taylor]: Taking taylor expansion of 0 in phi2 8.813 * [backup-simplify]: Simplify 0 into 0 8.813 * [taylor]: Taking taylor expansion of 0 in lambda1 8.813 * [backup-simplify]: Simplify 0 into 0 8.813 * [taylor]: Taking taylor expansion of 0 in lambda2 8.813 * [backup-simplify]: Simplify 0 into 0 8.813 * [backup-simplify]: Simplify 0 into 0 8.813 * [taylor]: Taking taylor expansion of 0 in lambda1 8.813 * [backup-simplify]: Simplify 0 into 0 8.813 * [taylor]: Taking taylor expansion of 0 in lambda2 8.813 * [backup-simplify]: Simplify 0 into 0 8.813 * [backup-simplify]: Simplify 0 into 0 8.813 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 8.814 * [backup-simplify]: Simplify (acos (+ (log (exp (* (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 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 8.814 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0 8.814 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2 8.814 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 8.814 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1 8.815 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 8.815 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2 8.815 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 8.815 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1 8.816 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 8.816 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1 8.816 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 8.816 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2 8.817 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 8.817 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1 8.817 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 8.817 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2 8.817 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 8.818 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 8.818 * [taylor]: Taking taylor expansion of 0 in phi2 8.818 * [backup-simplify]: Simplify 0 into 0 8.818 * [taylor]: Taking taylor expansion of 0 in lambda1 8.818 * [backup-simplify]: Simplify 0 into 0 8.818 * [taylor]: Taking taylor expansion of 0 in lambda2 8.818 * [backup-simplify]: Simplify 0 into 0 8.818 * [backup-simplify]: Simplify 0 into 0 8.818 * [taylor]: Taking taylor expansion of 0 in lambda1 8.818 * [backup-simplify]: Simplify 0 into 0 8.818 * [taylor]: Taking taylor expansion of 0 in lambda2 8.818 * [backup-simplify]: Simplify 0 into 0 8.818 * [backup-simplify]: Simplify 0 into 0 8.818 * [taylor]: Taking taylor expansion of 0 in lambda2 8.818 * [backup-simplify]: Simplify 0 into 0 8.818 * [backup-simplify]: Simplify 0 into 0 8.818 * [backup-simplify]: Simplify 0 into 0 8.818 * [taylor]: Taking taylor expansion of 0 in phi2 8.818 * [backup-simplify]: Simplify 0 into 0 8.818 * [taylor]: Taking taylor expansion of 0 in lambda1 8.818 * [backup-simplify]: Simplify 0 into 0 8.818 * [taylor]: Taking taylor expansion of 0 in lambda2 8.818 * [backup-simplify]: Simplify 0 into 0 8.818 * [backup-simplify]: Simplify 0 into 0 8.818 * [taylor]: Taking taylor expansion of 0 in lambda1 8.818 * [backup-simplify]: Simplify 0 into 0 8.818 * [taylor]: Taking taylor expansion of 0 in lambda2 8.818 * [backup-simplify]: Simplify 0 into 0 8.818 * [backup-simplify]: Simplify 0 into 0 8.819 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1))))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 8.819 * [backup-simplify]: Simplify (acos (+ (log (exp (* (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)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 8.819 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 8.819 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2 8.820 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 8.820 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 8.820 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 8.820 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2 8.821 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 8.821 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 8.821 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 8.821 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 8.822 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 8.822 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in phi2 8.822 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 8.822 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 8.823 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 8.823 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in lambda2 8.823 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 8.823 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 8.823 * [taylor]: Taking taylor expansion of 0 in phi2 8.823 * [backup-simplify]: Simplify 0 into 0 8.824 * [taylor]: Taking taylor expansion of 0 in lambda1 8.824 * [backup-simplify]: Simplify 0 into 0 8.824 * [taylor]: Taking taylor expansion of 0 in lambda2 8.824 * [backup-simplify]: Simplify 0 into 0 8.824 * [backup-simplify]: Simplify 0 into 0 8.824 * [taylor]: Taking taylor expansion of 0 in lambda1 8.824 * [backup-simplify]: Simplify 0 into 0 8.824 * [taylor]: Taking taylor expansion of 0 in lambda2 8.824 * [backup-simplify]: Simplify 0 into 0 8.824 * [backup-simplify]: Simplify 0 into 0 8.824 * [taylor]: Taking taylor expansion of 0 in lambda2 8.824 * [backup-simplify]: Simplify 0 into 0 8.824 * [backup-simplify]: Simplify 0 into 0 8.824 * [backup-simplify]: Simplify 0 into 0 8.824 * [taylor]: Taking taylor expansion of 0 in phi2 8.824 * [backup-simplify]: Simplify 0 into 0 8.824 * [taylor]: Taking taylor expansion of 0 in lambda1 8.824 * [backup-simplify]: Simplify 0 into 0 8.824 * [taylor]: Taking taylor expansion of 0 in lambda2 8.824 * [backup-simplify]: Simplify 0 into 0 8.824 * [backup-simplify]: Simplify 0 into 0 8.824 * [taylor]: Taking taylor expansion of 0 in lambda1 8.824 * [backup-simplify]: Simplify 0 into 0 8.824 * [taylor]: Taking taylor expansion of 0 in lambda2 8.824 * [backup-simplify]: Simplify 0 into 0 8.824 * [backup-simplify]: Simplify 0 into 0 8.825 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- lambda2)))) (cos (/ -1 (/ 1 (- phi2)))))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 8.825 * * * * [progress]: [ 3 / 4 ] generating series at (2) 8.825 * [backup-simplify]: Simplify (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 8.825 * [approximate]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in (phi1 phi2 lambda1 lambda2 R) around 0 8.825 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in R 8.825 * [taylor]: Taking taylor expansion of R in R 8.825 * [backup-simplify]: Simplify 0 into 0 8.825 * [backup-simplify]: Simplify 1 into 1 8.825 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in R 8.825 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 8.825 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2 8.825 * [taylor]: Taking taylor expansion of R in lambda2 8.825 * [backup-simplify]: Simplify R into R 8.825 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 8.826 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 8.826 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1 8.826 * [taylor]: Taking taylor expansion of R in lambda1 8.826 * [backup-simplify]: Simplify R into R 8.826 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 8.826 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 8.826 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2 8.826 * [taylor]: Taking taylor expansion of R in phi2 8.826 * [backup-simplify]: Simplify R into R 8.826 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 8.826 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 8.826 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1 8.827 * [taylor]: Taking taylor expansion of R in phi1 8.827 * [backup-simplify]: Simplify R into R 8.827 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 8.827 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 8.827 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1 8.827 * [taylor]: Taking taylor expansion of R in phi1 8.827 * [backup-simplify]: Simplify R into R 8.827 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 8.827 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 8.828 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 8.828 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2 8.828 * [taylor]: Taking taylor expansion of R in phi2 8.828 * [backup-simplify]: Simplify R into R 8.828 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 8.828 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 8.828 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 8.828 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1 8.829 * [taylor]: Taking taylor expansion of R in lambda1 8.829 * [backup-simplify]: Simplify R into R 8.829 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 8.829 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 8.829 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 8.829 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2 8.829 * [taylor]: Taking taylor expansion of R in lambda2 8.829 * [backup-simplify]: Simplify R into R 8.829 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 8.830 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 8.830 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 8.830 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in R 8.830 * [taylor]: Taking taylor expansion of R in R 8.830 * [backup-simplify]: Simplify 0 into 0 8.830 * [backup-simplify]: Simplify 1 into 1 8.830 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in R 8.833 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 8.833 * [backup-simplify]: Simplify (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into 0 8.833 * [backup-simplify]: Simplify 0 into 0 8.834 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0 8.834 * [taylor]: Taking taylor expansion of 0 in phi2 8.834 * [backup-simplify]: Simplify 0 into 0 8.834 * [taylor]: Taking taylor expansion of 0 in lambda1 8.834 * [backup-simplify]: Simplify 0 into 0 8.834 * [taylor]: Taking taylor expansion of 0 in lambda2 8.834 * [backup-simplify]: Simplify 0 into 0 8.834 * [taylor]: Taking taylor expansion of 0 in R 8.834 * [backup-simplify]: Simplify 0 into 0 8.834 * [backup-simplify]: Simplify 0 into 0 8.834 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0 8.834 * [taylor]: Taking taylor expansion of 0 in lambda1 8.834 * [backup-simplify]: Simplify 0 into 0 8.834 * [taylor]: Taking taylor expansion of 0 in lambda2 8.834 * [backup-simplify]: Simplify 0 into 0 8.834 * [taylor]: Taking taylor expansion of 0 in R 8.834 * [backup-simplify]: Simplify 0 into 0 8.834 * [backup-simplify]: Simplify 0 into 0 8.835 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0 8.835 * [taylor]: Taking taylor expansion of 0 in lambda2 8.835 * [backup-simplify]: Simplify 0 into 0 8.835 * [taylor]: Taking taylor expansion of 0 in R 8.835 * [backup-simplify]: Simplify 0 into 0 8.835 * [backup-simplify]: Simplify 0 into 0 8.835 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0 8.835 * [taylor]: Taking taylor expansion of 0 in R 8.835 * [backup-simplify]: Simplify 0 into 0 8.835 * [backup-simplify]: Simplify 0 into 0 8.836 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 8.837 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 8.837 * [backup-simplify]: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0 8.837 * [taylor]: Taking taylor expansion of 0 in phi2 8.837 * [backup-simplify]: Simplify 0 into 0 8.837 * [taylor]: Taking taylor expansion of 0 in lambda1 8.837 * [backup-simplify]: Simplify 0 into 0 8.837 * [taylor]: Taking taylor expansion of 0 in lambda2 8.837 * [backup-simplify]: Simplify 0 into 0 8.837 * [taylor]: Taking taylor expansion of 0 in R 8.837 * [backup-simplify]: Simplify 0 into 0 8.837 * [backup-simplify]: Simplify 0 into 0 8.837 * [taylor]: Taking taylor expansion of 0 in lambda1 8.837 * [backup-simplify]: Simplify 0 into 0 8.838 * [taylor]: Taking taylor expansion of 0 in lambda2 8.838 * [backup-simplify]: Simplify 0 into 0 8.838 * [taylor]: Taking taylor expansion of 0 in R 8.838 * [backup-simplify]: Simplify 0 into 0 8.838 * [backup-simplify]: Simplify 0 into 0 8.838 * [backup-simplify]: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0 8.838 * [taylor]: Taking taylor expansion of 0 in lambda1 8.838 * [backup-simplify]: Simplify 0 into 0 8.838 * [taylor]: Taking taylor expansion of 0 in lambda2 8.838 * [backup-simplify]: Simplify 0 into 0 8.838 * [taylor]: Taking taylor expansion of 0 in R 8.838 * [backup-simplify]: Simplify 0 into 0 8.838 * [backup-simplify]: Simplify 0 into 0 8.838 * [taylor]: Taking taylor expansion of 0 in lambda2 8.838 * [backup-simplify]: Simplify 0 into 0 8.838 * [taylor]: Taking taylor expansion of 0 in R 8.838 * [backup-simplify]: Simplify 0 into 0 8.838 * [backup-simplify]: Simplify 0 into 0 8.838 * [taylor]: Taking taylor expansion of 0 in lambda2 8.839 * [backup-simplify]: Simplify 0 into 0 8.839 * [taylor]: Taking taylor expansion of 0 in R 8.839 * [backup-simplify]: Simplify 0 into 0 8.839 * [backup-simplify]: Simplify 0 into 0 8.839 * [backup-simplify]: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0 8.839 * [taylor]: Taking taylor expansion of 0 in lambda2 8.839 * [backup-simplify]: Simplify 0 into 0 8.839 * [taylor]: Taking taylor expansion of 0 in R 8.839 * [backup-simplify]: Simplify 0 into 0 8.839 * [backup-simplify]: Simplify 0 into 0 8.840 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (* R (* 1 (* 1 (* 1 1))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 8.841 * [backup-simplify]: Simplify (* (acos (+ (log (exp (* (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 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 8.841 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 8.841 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in R 8.841 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in R 8.842 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 8.842 * [taylor]: Taking taylor expansion of R in R 8.842 * [backup-simplify]: Simplify 0 into 0 8.842 * [backup-simplify]: Simplify 1 into 1 8.842 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 1) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 8.843 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda2 8.843 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2 8.843 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 8.843 * [taylor]: Taking taylor expansion of R in lambda2 8.843 * [backup-simplify]: Simplify R into R 8.844 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 8.844 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda1 8.844 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1 8.845 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 8.845 * [taylor]: Taking taylor expansion of R in lambda1 8.845 * [backup-simplify]: Simplify R into R 8.845 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 8.846 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi2 8.846 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2 8.846 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 8.846 * [taylor]: Taking taylor expansion of R in phi2 8.846 * [backup-simplify]: Simplify R into R 8.847 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 8.847 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi1 8.847 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1 8.848 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 8.848 * [taylor]: Taking taylor expansion of R in phi1 8.848 * [backup-simplify]: Simplify R into R 8.848 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 8.849 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi1 8.849 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1 8.849 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 8.849 * [taylor]: Taking taylor expansion of R in phi1 8.849 * [backup-simplify]: Simplify R into R 8.850 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 8.850 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi2 8.850 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2 8.851 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 8.851 * [taylor]: Taking taylor expansion of R in phi2 8.851 * [backup-simplify]: Simplify R into R 8.852 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 8.852 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda1 8.852 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1 8.852 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 8.853 * [taylor]: Taking taylor expansion of R in lambda1 8.853 * [backup-simplify]: Simplify R into R 8.853 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 8.854 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda2 8.854 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2 8.855 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 8.855 * [taylor]: Taking taylor expansion of R in lambda2 8.855 * [backup-simplify]: Simplify R into R 8.856 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 8.856 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in R 8.856 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in R 8.856 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 8.856 * [taylor]: Taking taylor expansion of R in R 8.857 * [backup-simplify]: Simplify 0 into 0 8.857 * [backup-simplify]: Simplify 1 into 1 8.857 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 1) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 8.857 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 8.858 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0 8.858 * [taylor]: Taking taylor expansion of 0 in phi2 8.858 * [backup-simplify]: Simplify 0 into 0 8.858 * [taylor]: Taking taylor expansion of 0 in lambda1 8.858 * [backup-simplify]: Simplify 0 into 0 8.858 * [taylor]: Taking taylor expansion of 0 in lambda2 8.858 * [backup-simplify]: Simplify 0 into 0 8.858 * [taylor]: Taking taylor expansion of 0 in R 8.858 * [backup-simplify]: Simplify 0 into 0 8.859 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0 8.859 * [taylor]: Taking taylor expansion of 0 in lambda1 8.859 * [backup-simplify]: Simplify 0 into 0 8.859 * [taylor]: Taking taylor expansion of 0 in lambda2 8.859 * [backup-simplify]: Simplify 0 into 0 8.859 * [taylor]: Taking taylor expansion of 0 in R 8.859 * [backup-simplify]: Simplify 0 into 0 8.859 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0 8.859 * [taylor]: Taking taylor expansion of 0 in lambda2 8.859 * [backup-simplify]: Simplify 0 into 0 8.859 * [taylor]: Taking taylor expansion of 0 in R 8.860 * [backup-simplify]: Simplify 0 into 0 8.860 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0 8.860 * [taylor]: Taking taylor expansion of 0 in R 8.860 * [backup-simplify]: Simplify 0 into 0 8.861 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) (/ 0 1)))) into 0 8.861 * [backup-simplify]: Simplify 0 into 0 8.862 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 8.862 * [taylor]: Taking taylor expansion of 0 in phi2 8.862 * [backup-simplify]: Simplify 0 into 0 8.862 * [taylor]: Taking taylor expansion of 0 in lambda1 8.862 * [backup-simplify]: Simplify 0 into 0 8.862 * [taylor]: Taking taylor expansion of 0 in lambda2 8.862 * [backup-simplify]: Simplify 0 into 0 8.862 * [taylor]: Taking taylor expansion of 0 in R 8.862 * [backup-simplify]: Simplify 0 into 0 8.862 * [taylor]: Taking taylor expansion of 0 in lambda1 8.862 * [backup-simplify]: Simplify 0 into 0 8.862 * [taylor]: Taking taylor expansion of 0 in lambda2 8.862 * [backup-simplify]: Simplify 0 into 0 8.862 * [taylor]: Taking taylor expansion of 0 in R 8.862 * [backup-simplify]: Simplify 0 into 0 8.863 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 8.863 * [taylor]: Taking taylor expansion of 0 in lambda1 8.863 * [backup-simplify]: Simplify 0 into 0 8.863 * [taylor]: Taking taylor expansion of 0 in lambda2 8.863 * [backup-simplify]: Simplify 0 into 0 8.863 * [taylor]: Taking taylor expansion of 0 in R 8.863 * [backup-simplify]: Simplify 0 into 0 8.863 * [taylor]: Taking taylor expansion of 0 in lambda2 8.863 * [backup-simplify]: Simplify 0 into 0 8.863 * [taylor]: Taking taylor expansion of 0 in R 8.863 * [backup-simplify]: Simplify 0 into 0 8.863 * [taylor]: Taking taylor expansion of 0 in lambda2 8.863 * [backup-simplify]: Simplify 0 into 0 8.863 * [taylor]: Taking taylor expansion of 0 in R 8.863 * [backup-simplify]: Simplify 0 into 0 8.863 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 8.863 * [taylor]: Taking taylor expansion of 0 in lambda2 8.864 * [backup-simplify]: Simplify 0 into 0 8.864 * [taylor]: Taking taylor expansion of 0 in R 8.864 * [backup-simplify]: Simplify 0 into 0 8.864 * [taylor]: Taking taylor expansion of 0 in R 8.864 * [backup-simplify]: Simplify 0 into 0 8.864 * [taylor]: Taking taylor expansion of 0 in R 8.864 * [backup-simplify]: Simplify 0 into 0 8.864 * [taylor]: Taking taylor expansion of 0 in R 8.864 * [backup-simplify]: Simplify 0 into 0 8.864 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 8.864 * [taylor]: Taking taylor expansion of 0 in R 8.864 * [backup-simplify]: Simplify 0 into 0 8.864 * [backup-simplify]: Simplify 0 into 0 8.864 * [backup-simplify]: Simplify 0 into 0 8.864 * [backup-simplify]: Simplify 0 into 0 8.864 * [backup-simplify]: Simplify 0 into 0 8.866 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.866 * [backup-simplify]: Simplify 0 into 0 8.867 * [backup-simplify]: Simplify (* (acos (+ (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1))))))))) (* (/ 1 (/ 1 R)) (* 1 (* 1 (* 1 1))))) into (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) 8.867 * [backup-simplify]: Simplify (* (acos (+ (log (exp (* (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)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) 8.867 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 8.867 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in R 8.867 * [taylor]: Taking taylor expansion of -1 in R 8.867 * [backup-simplify]: Simplify -1 into -1 8.867 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in R 8.867 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in R 8.868 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 8.868 * [taylor]: Taking taylor expansion of R in R 8.868 * [backup-simplify]: Simplify 0 into 0 8.868 * [backup-simplify]: Simplify 1 into 1 8.868 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 1) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 8.868 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in lambda2 8.868 * [taylor]: Taking taylor expansion of -1 in lambda2 8.868 * [backup-simplify]: Simplify -1 into -1 8.868 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in lambda2 8.868 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2 8.869 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 8.869 * [taylor]: Taking taylor expansion of R in lambda2 8.869 * [backup-simplify]: Simplify R into R 8.869 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 8.869 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in lambda1 8.869 * [taylor]: Taking taylor expansion of -1 in lambda1 8.869 * [backup-simplify]: Simplify -1 into -1 8.869 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in lambda1 8.869 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 8.870 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 8.870 * [taylor]: Taking taylor expansion of R in lambda1 8.870 * [backup-simplify]: Simplify R into R 8.870 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 8.870 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in phi2 8.870 * [taylor]: Taking taylor expansion of -1 in phi2 8.870 * [backup-simplify]: Simplify -1 into -1 8.870 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in phi2 8.870 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2 8.871 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 8.871 * [taylor]: Taking taylor expansion of R in phi2 8.871 * [backup-simplify]: Simplify R into R 8.871 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 8.871 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in phi1 8.871 * [taylor]: Taking taylor expansion of -1 in phi1 8.871 * [backup-simplify]: Simplify -1 into -1 8.871 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in phi1 8.871 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 8.872 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 8.872 * [taylor]: Taking taylor expansion of R in phi1 8.872 * [backup-simplify]: Simplify R into R 8.872 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 8.872 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in phi1 8.872 * [taylor]: Taking taylor expansion of -1 in phi1 8.872 * [backup-simplify]: Simplify -1 into -1 8.872 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in phi1 8.872 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 8.873 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 8.873 * [taylor]: Taking taylor expansion of R in phi1 8.873 * [backup-simplify]: Simplify R into R 8.873 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 8.874 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) 8.874 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) in phi2 8.874 * [taylor]: Taking taylor expansion of -1 in phi2 8.874 * [backup-simplify]: Simplify -1 into -1 8.874 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) in phi2 8.874 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in phi2 8.874 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 8.874 * [taylor]: Taking taylor expansion of R in phi2 8.874 * [backup-simplify]: Simplify R into R 8.875 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) 8.875 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) 8.875 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in lambda1 8.875 * [taylor]: Taking taylor expansion of -1 in lambda1 8.875 * [backup-simplify]: Simplify -1 into -1 8.875 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in lambda1 8.875 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 8.876 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 8.876 * [taylor]: Taking taylor expansion of R in lambda1 8.876 * [backup-simplify]: Simplify R into R 8.876 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 8.877 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) 8.877 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) in lambda2 8.877 * [taylor]: Taking taylor expansion of -1 in lambda2 8.877 * [backup-simplify]: Simplify -1 into -1 8.877 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) in lambda2 8.877 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in lambda2 8.877 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 8.877 * [taylor]: Taking taylor expansion of R in lambda2 8.877 * [backup-simplify]: Simplify R into R 8.878 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) 8.878 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) 8.878 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in R 8.878 * [taylor]: Taking taylor expansion of -1 in R 8.878 * [backup-simplify]: Simplify -1 into -1 8.878 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in R 8.878 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in R 8.879 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 8.879 * [taylor]: Taking taylor expansion of R in R 8.879 * [backup-simplify]: Simplify 0 into 0 8.879 * [backup-simplify]: Simplify 1 into 1 8.879 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 1) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 8.880 * [backup-simplify]: Simplify (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) into (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) 8.880 * [backup-simplify]: Simplify (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) 8.881 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)))) into 0 8.882 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R))) into 0 8.882 * [taylor]: Taking taylor expansion of 0 in phi2 8.882 * [backup-simplify]: Simplify 0 into 0 8.882 * [taylor]: Taking taylor expansion of 0 in lambda1 8.882 * [backup-simplify]: Simplify 0 into 0 8.882 * [taylor]: Taking taylor expansion of 0 in lambda2 8.882 * [backup-simplify]: Simplify 0 into 0 8.882 * [taylor]: Taking taylor expansion of 0 in R 8.882 * [backup-simplify]: Simplify 0 into 0 8.882 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)))) into 0 8.883 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R))) into 0 8.883 * [taylor]: Taking taylor expansion of 0 in lambda1 8.883 * [backup-simplify]: Simplify 0 into 0 8.883 * [taylor]: Taking taylor expansion of 0 in lambda2 8.883 * [backup-simplify]: Simplify 0 into 0 8.883 * [taylor]: Taking taylor expansion of 0 in R 8.883 * [backup-simplify]: Simplify 0 into 0 8.884 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)))) into 0 8.885 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R))) into 0 8.885 * [taylor]: Taking taylor expansion of 0 in lambda2 8.885 * [backup-simplify]: Simplify 0 into 0 8.885 * [taylor]: Taking taylor expansion of 0 in R 8.885 * [backup-simplify]: Simplify 0 into 0 8.885 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)))) into 0 8.886 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R))) into 0 8.886 * [taylor]: Taking taylor expansion of 0 in R 8.886 * [backup-simplify]: Simplify 0 into 0 8.887 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) (/ 0 1)))) into 0 8.888 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))) into 0 8.888 * [backup-simplify]: Simplify 0 into 0 8.889 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 8.890 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)))) into 0 8.890 * [taylor]: Taking taylor expansion of 0 in phi2 8.890 * [backup-simplify]: Simplify 0 into 0 8.890 * [taylor]: Taking taylor expansion of 0 in lambda1 8.890 * [backup-simplify]: Simplify 0 into 0 8.890 * [taylor]: Taking taylor expansion of 0 in lambda2 8.890 * [backup-simplify]: Simplify 0 into 0 8.890 * [taylor]: Taking taylor expansion of 0 in R 8.890 * [backup-simplify]: Simplify 0 into 0 8.890 * [taylor]: Taking taylor expansion of 0 in lambda1 8.890 * [backup-simplify]: Simplify 0 into 0 8.890 * [taylor]: Taking taylor expansion of 0 in lambda2 8.890 * [backup-simplify]: Simplify 0 into 0 8.890 * [taylor]: Taking taylor expansion of 0 in R 8.890 * [backup-simplify]: Simplify 0 into 0 8.890 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 8.892 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)))) into 0 8.892 * [taylor]: Taking taylor expansion of 0 in lambda1 8.892 * [backup-simplify]: Simplify 0 into 0 8.892 * [taylor]: Taking taylor expansion of 0 in lambda2 8.892 * [backup-simplify]: Simplify 0 into 0 8.892 * [taylor]: Taking taylor expansion of 0 in R 8.892 * [backup-simplify]: Simplify 0 into 0 8.892 * [taylor]: Taking taylor expansion of 0 in lambda2 8.892 * [backup-simplify]: Simplify 0 into 0 8.892 * [taylor]: Taking taylor expansion of 0 in R 8.892 * [backup-simplify]: Simplify 0 into 0 8.892 * [taylor]: Taking taylor expansion of 0 in lambda2 8.892 * [backup-simplify]: Simplify 0 into 0 8.892 * [taylor]: Taking taylor expansion of 0 in R 8.892 * [backup-simplify]: Simplify 0 into 0 8.893 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 8.894 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)))) into 0 8.894 * [taylor]: Taking taylor expansion of 0 in lambda2 8.894 * [backup-simplify]: Simplify 0 into 0 8.894 * [taylor]: Taking taylor expansion of 0 in R 8.894 * [backup-simplify]: Simplify 0 into 0 8.894 * [taylor]: Taking taylor expansion of 0 in R 8.894 * [backup-simplify]: Simplify 0 into 0 8.894 * [taylor]: Taking taylor expansion of 0 in R 8.894 * [backup-simplify]: Simplify 0 into 0 8.894 * [taylor]: Taking taylor expansion of 0 in R 8.894 * [backup-simplify]: Simplify 0 into 0 8.894 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 8.895 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)))) into 0 8.895 * [taylor]: Taking taylor expansion of 0 in R 8.895 * [backup-simplify]: Simplify 0 into 0 8.895 * [backup-simplify]: Simplify 0 into 0 8.895 * [backup-simplify]: Simplify 0 into 0 8.895 * [backup-simplify]: Simplify 0 into 0 8.895 * [backup-simplify]: Simplify 0 into 0 8.897 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.898 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))))) into 0 8.898 * [backup-simplify]: Simplify 0 into 0 8.899 * [backup-simplify]: Simplify (* (* -1 (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2))))))))))) (* (/ 1 (/ 1 (- R))) (* 1 (* 1 (* 1 1))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 8.899 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 1) 8.899 * [backup-simplify]: Simplify (* (sin phi1) (sin phi2)) into (* (sin phi1) (sin phi2)) 8.899 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 8.899 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 8.899 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 8.899 * [taylor]: Taking taylor expansion of phi1 in phi2 8.899 * [backup-simplify]: Simplify phi1 into phi1 8.899 * [backup-simplify]: Simplify (sin phi1) into (sin phi1) 8.899 * [backup-simplify]: Simplify (cos phi1) into (cos phi1) 8.899 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 8.899 * [taylor]: Taking taylor expansion of phi2 in phi2 8.899 * [backup-simplify]: Simplify 0 into 0 8.899 * [backup-simplify]: Simplify 1 into 1 8.899 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 8.899 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 8.899 * [taylor]: Taking taylor expansion of phi1 in phi1 8.899 * [backup-simplify]: Simplify 0 into 0 8.899 * [backup-simplify]: Simplify 1 into 1 8.899 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 8.899 * [taylor]: Taking taylor expansion of phi2 in phi1 8.899 * [backup-simplify]: Simplify phi2 into phi2 8.899 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 8.899 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 8.899 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 8.900 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 8.900 * [taylor]: Taking taylor expansion of phi1 in phi1 8.900 * [backup-simplify]: Simplify 0 into 0 8.900 * [backup-simplify]: Simplify 1 into 1 8.900 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 8.900 * [taylor]: Taking taylor expansion of phi2 in phi1 8.900 * [backup-simplify]: Simplify phi2 into phi2 8.900 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 8.900 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 8.900 * [backup-simplify]: Simplify (* (sin phi2) 1) into (sin phi2) 8.900 * [backup-simplify]: Simplify (* (cos phi2) 0) into 0 8.900 * [backup-simplify]: Simplify (+ (sin phi2) 0) into (sin phi2) 8.900 * [backup-simplify]: Simplify (* 0 (sin phi2)) into 0 8.900 * [taylor]: Taking taylor expansion of 0 in phi2 8.900 * [backup-simplify]: Simplify 0 into 0 8.900 * [backup-simplify]: Simplify 0 into 0 8.900 * [backup-simplify]: Simplify (+ 0) into 0 8.900 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (* 0 1)) into 0 8.901 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.901 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (* 0 0)) into 0 8.901 * [backup-simplify]: Simplify (+ 0 0) into 0 8.902 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 8.902 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin phi2))) into (sin phi2) 8.902 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 8.902 * [taylor]: Taking taylor expansion of phi2 in phi2 8.902 * [backup-simplify]: Simplify 0 into 0 8.902 * [backup-simplify]: Simplify 1 into 1 8.902 * [backup-simplify]: Simplify 0 into 0 8.902 * [backup-simplify]: Simplify 0 into 0 8.903 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.903 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (* 0 1))) into 0 8.904 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.904 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* 0 0))) into 0 8.904 * [backup-simplify]: Simplify (+ 0 0) into 0 8.905 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.905 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin phi2)))) into 0 8.905 * [taylor]: Taking taylor expansion of 0 in phi2 8.905 * [backup-simplify]: Simplify 0 into 0 8.905 * [backup-simplify]: Simplify 0 into 0 8.906 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 8.906 * [backup-simplify]: Simplify 1 into 1 8.906 * [backup-simplify]: Simplify 0 into 0 8.907 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.907 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.908 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 8.909 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 8.909 * [backup-simplify]: Simplify (+ 0 0) into 0 8.910 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 8.911 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin phi2))))) into (- (* 1/6 (sin phi2))) 8.911 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 8.911 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 8.911 * [taylor]: Taking taylor expansion of 1/6 in phi2 8.911 * [backup-simplify]: Simplify 1/6 into 1/6 8.911 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 8.911 * [taylor]: Taking taylor expansion of phi2 in phi2 8.911 * [backup-simplify]: Simplify 0 into 0 8.911 * [backup-simplify]: Simplify 1 into 1 8.911 * [backup-simplify]: Simplify (* 1/6 0) into 0 8.911 * [backup-simplify]: Simplify (- 0) into 0 8.911 * [backup-simplify]: Simplify 0 into 0 8.911 * [backup-simplify]: Simplify 0 into 0 8.912 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.912 * [backup-simplify]: Simplify 0 into 0 8.912 * [backup-simplify]: Simplify 0 into 0 8.914 * [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 8.915 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.917 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 8.918 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 8.918 * [backup-simplify]: Simplify (+ 0 0) into 0 8.921 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 8.923 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin phi2)))))) into 0 8.923 * [taylor]: Taking taylor expansion of 0 in phi2 8.923 * [backup-simplify]: Simplify 0 into 0 8.923 * [backup-simplify]: Simplify 0 into 0 8.923 * [backup-simplify]: Simplify (* 1 (* phi2 phi1)) into (* phi1 phi2) 8.923 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 8.923 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in (phi1 phi2) around 0 8.923 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2 8.923 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 8.923 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 8.923 * [taylor]: Taking taylor expansion of phi2 in phi2 8.923 * [backup-simplify]: Simplify 0 into 0 8.923 * [backup-simplify]: Simplify 1 into 1 8.924 * [backup-simplify]: Simplify (/ 1 1) into 1 8.924 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 8.924 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 8.924 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 8.924 * [taylor]: Taking taylor expansion of phi1 in phi2 8.924 * [backup-simplify]: Simplify phi1 into phi1 8.924 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 8.924 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 8.924 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 8.924 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1 8.924 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 8.924 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 8.924 * [taylor]: Taking taylor expansion of phi2 in phi1 8.924 * [backup-simplify]: Simplify phi2 into phi2 8.924 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 8.924 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 8.924 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 8.924 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 8.925 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 8.925 * [taylor]: Taking taylor expansion of phi1 in phi1 8.925 * [backup-simplify]: Simplify 0 into 0 8.925 * [backup-simplify]: Simplify 1 into 1 8.925 * [backup-simplify]: Simplify (/ 1 1) into 1 8.925 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 8.925 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1 8.925 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 8.925 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 8.925 * [taylor]: Taking taylor expansion of phi2 in phi1 8.925 * [backup-simplify]: Simplify phi2 into phi2 8.925 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 8.925 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 8.925 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 8.925 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 8.926 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 8.926 * [taylor]: Taking taylor expansion of phi1 in phi1 8.926 * [backup-simplify]: Simplify 0 into 0 8.926 * [backup-simplify]: Simplify 1 into 1 8.926 * [backup-simplify]: Simplify (/ 1 1) into 1 8.926 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 8.926 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 1) into (sin (/ 1 phi2)) 8.926 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 0) into 0 8.927 * [backup-simplify]: Simplify (+ (sin (/ 1 phi2)) 0) into (sin (/ 1 phi2)) 8.927 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 8.927 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2 8.927 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 8.927 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 8.927 * [taylor]: Taking taylor expansion of phi2 in phi2 8.927 * [backup-simplify]: Simplify 0 into 0 8.927 * [backup-simplify]: Simplify 1 into 1 8.927 * [backup-simplify]: Simplify (/ 1 1) into 1 8.927 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 8.927 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 8.927 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 8.927 * [taylor]: Taking taylor expansion of phi1 in phi2 8.927 * [backup-simplify]: Simplify phi1 into phi1 8.927 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 8.928 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 8.928 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 8.928 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 1) into (sin (/ 1 phi1)) 8.928 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 0) into 0 8.928 * [backup-simplify]: Simplify (+ (sin (/ 1 phi1)) 0) into (sin (/ 1 phi1)) 8.928 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 8.928 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 8.929 * [backup-simplify]: Simplify (+ 0) into 0 8.929 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 1)) into 0 8.929 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 8.930 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.930 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 0)) into 0 8.931 * [backup-simplify]: Simplify (+ 0 0) into 0 8.931 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0 8.931 * [taylor]: Taking taylor expansion of 0 in phi2 8.931 * [backup-simplify]: Simplify 0 into 0 8.931 * [backup-simplify]: Simplify 0 into 0 8.931 * [backup-simplify]: Simplify (+ 0) into 0 8.932 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 1)) into 0 8.932 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 8.933 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.933 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 0)) into 0 8.934 * [backup-simplify]: Simplify (+ 0 0) into 0 8.934 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0 8.934 * [backup-simplify]: Simplify 0 into 0 8.935 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.936 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 8.936 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 8.937 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.937 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 8.938 * [backup-simplify]: Simplify (+ 0 0) into 0 8.938 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0 8.938 * [taylor]: Taking taylor expansion of 0 in phi2 8.938 * [backup-simplify]: Simplify 0 into 0 8.938 * [backup-simplify]: Simplify 0 into 0 8.938 * [backup-simplify]: Simplify 0 into 0 8.939 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.940 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 8.940 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 8.941 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.942 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 8.942 * [backup-simplify]: Simplify (+ 0 0) into 0 8.943 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0 8.943 * [backup-simplify]: Simplify 0 into 0 8.944 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.944 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.945 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 8.946 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 8.947 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 8.947 * [backup-simplify]: Simplify (+ 0 0) into 0 8.948 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1)))))) into 0 8.948 * [taylor]: Taking taylor expansion of 0 in phi2 8.948 * [backup-simplify]: Simplify 0 into 0 8.948 * [backup-simplify]: Simplify 0 into 0 8.948 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) into (* (sin phi1) (sin phi2)) 8.949 * [backup-simplify]: Simplify (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 8.949 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 8.949 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 8.949 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 8.949 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 8.949 * [taylor]: Taking taylor expansion of -1 in phi2 8.949 * [backup-simplify]: Simplify -1 into -1 8.949 * [taylor]: Taking taylor expansion of phi1 in phi2 8.949 * [backup-simplify]: Simplify phi1 into phi1 8.949 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 8.949 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 8.949 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 8.949 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 8.949 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 8.949 * [taylor]: Taking taylor expansion of -1 in phi2 8.949 * [backup-simplify]: Simplify -1 into -1 8.949 * [taylor]: Taking taylor expansion of phi2 in phi2 8.949 * [backup-simplify]: Simplify 0 into 0 8.949 * [backup-simplify]: Simplify 1 into 1 8.950 * [backup-simplify]: Simplify (/ -1 1) into -1 8.950 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 8.950 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 8.950 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 8.950 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 8.950 * [taylor]: Taking taylor expansion of -1 in phi1 8.950 * [backup-simplify]: Simplify -1 into -1 8.950 * [taylor]: Taking taylor expansion of phi1 in phi1 8.950 * [backup-simplify]: Simplify 0 into 0 8.950 * [backup-simplify]: Simplify 1 into 1 8.950 * [backup-simplify]: Simplify (/ -1 1) into -1 8.951 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 8.951 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 8.951 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 8.951 * [taylor]: Taking taylor expansion of -1 in phi1 8.951 * [backup-simplify]: Simplify -1 into -1 8.951 * [taylor]: Taking taylor expansion of phi2 in phi1 8.951 * [backup-simplify]: Simplify phi2 into phi2 8.951 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 8.951 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 8.951 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 8.951 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 8.951 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 8.951 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 8.951 * [taylor]: Taking taylor expansion of -1 in phi1 8.951 * [backup-simplify]: Simplify -1 into -1 8.951 * [taylor]: Taking taylor expansion of phi1 in phi1 8.951 * [backup-simplify]: Simplify 0 into 0 8.951 * [backup-simplify]: Simplify 1 into 1 8.952 * [backup-simplify]: Simplify (/ -1 1) into -1 8.952 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 8.952 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 8.952 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 8.952 * [taylor]: Taking taylor expansion of -1 in phi1 8.952 * [backup-simplify]: Simplify -1 into -1 8.952 * [taylor]: Taking taylor expansion of phi2 in phi1 8.952 * [backup-simplify]: Simplify phi2 into phi2 8.952 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 8.952 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 8.952 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 8.952 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 1) into (sin (/ -1 phi2)) 8.952 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 0) into 0 8.952 * [backup-simplify]: Simplify (+ (sin (/ -1 phi2)) 0) into (sin (/ -1 phi2)) 8.952 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 8.952 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 8.952 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 8.953 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 8.953 * [taylor]: Taking taylor expansion of -1 in phi2 8.953 * [backup-simplify]: Simplify -1 into -1 8.953 * [taylor]: Taking taylor expansion of phi1 in phi2 8.953 * [backup-simplify]: Simplify phi1 into phi1 8.953 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 8.953 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 8.953 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 8.953 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 8.953 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 8.953 * [taylor]: Taking taylor expansion of -1 in phi2 8.953 * [backup-simplify]: Simplify -1 into -1 8.953 * [taylor]: Taking taylor expansion of phi2 in phi2 8.953 * [backup-simplify]: Simplify 0 into 0 8.953 * [backup-simplify]: Simplify 1 into 1 8.953 * [backup-simplify]: Simplify (/ -1 1) into -1 8.953 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 8.954 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 1) into (sin (/ -1 phi1)) 8.954 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 0) into 0 8.954 * [backup-simplify]: Simplify (+ (sin (/ -1 phi1)) 0) into (sin (/ -1 phi1)) 8.954 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 8.954 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 8.954 * [backup-simplify]: Simplify (+ 0) into 0 8.955 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 1)) into 0 8.955 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0 8.956 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.956 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 0)) into 0 8.957 * [backup-simplify]: Simplify (+ 0 0) into 0 8.957 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 8.957 * [taylor]: Taking taylor expansion of 0 in phi2 8.957 * [backup-simplify]: Simplify 0 into 0 8.957 * [backup-simplify]: Simplify 0 into 0 8.958 * [backup-simplify]: Simplify (+ 0) into 0 8.958 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 1)) into 0 8.958 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0 8.959 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.960 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 0)) into 0 8.960 * [backup-simplify]: Simplify (+ 0 0) into 0 8.960 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 8.960 * [backup-simplify]: Simplify 0 into 0 8.961 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.962 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 8.962 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 8.963 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.963 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 8.964 * [backup-simplify]: Simplify (+ 0 0) into 0 8.965 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 8.965 * [taylor]: Taking taylor expansion of 0 in phi2 8.965 * [backup-simplify]: Simplify 0 into 0 8.965 * [backup-simplify]: Simplify 0 into 0 8.965 * [backup-simplify]: Simplify 0 into 0 8.966 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.967 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 8.967 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 8.968 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.968 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 8.969 * [backup-simplify]: Simplify (+ 0 0) into 0 8.969 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 8.969 * [backup-simplify]: Simplify 0 into 0 8.970 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.971 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.971 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 8.973 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 8.973 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 8.974 * [backup-simplify]: Simplify (+ 0 0) into 0 8.975 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2)))))) into 0 8.975 * [taylor]: Taking taylor expansion of 0 in phi2 8.975 * [backup-simplify]: Simplify 0 into 0 8.975 * [backup-simplify]: Simplify 0 into 0 8.975 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) into (* (sin phi1) (sin phi2)) 8.975 * * * [progress]: simplifying candidates 8.975 * * * * [progress]: [ 1 / 75 ] simplifiying candidate # 8.975 * * * * [progress]: [ 2 / 75 ] simplifiying candidate # 8.975 * * * * [progress]: [ 3 / 75 ] simplifiying candidate # 8.975 * * * * [progress]: [ 4 / 75 ] simplifiying candidate # 8.976 * * * * [progress]: [ 5 / 75 ] simplifiying candidate # 8.976 * * * * [progress]: [ 6 / 75 ] simplifiying candidate # 8.976 * * * * [progress]: [ 7 / 75 ] simplifiying candidate # 8.976 * * * * [progress]: [ 8 / 75 ] simplifiying candidate # 8.976 * * * * [progress]: [ 9 / 75 ] simplifiying candidate # 8.976 * * * * [progress]: [ 10 / 75 ] simplifiying candidate # 8.976 * * * * [progress]: [ 11 / 75 ] simplifiying candidate # 8.976 * * * * [progress]: [ 12 / 75 ] simplifiying candidate # 8.976 * * * * [progress]: [ 13 / 75 ] simplifiying candidate # 8.976 * * * * [progress]: [ 14 / 75 ] simplifiying candidate # 8.976 * * * * [progress]: [ 15 / 75 ] simplifiying candidate #real (real->posit16 (log (exp (* (sin phi1) (sin phi2)))))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> 8.976 * * * * [progress]: [ 16 / 75 ] simplifiying candidate # 8.976 * * * * [progress]: [ 17 / 75 ] simplifiying candidate # 8.976 * * * * [progress]: [ 18 / 75 ] simplifiying candidate # 8.976 * * * * [progress]: [ 19 / 75 ] simplifiying candidate # 8.977 * * * * [progress]: [ 20 / 75 ] simplifiying candidate # 8.977 * * * * [progress]: [ 21 / 75 ] simplifiying candidate # 8.977 * * * * [progress]: [ 22 / 75 ] simplifiying candidate # 8.977 * * * * [progress]: [ 23 / 75 ] simplifiying candidate # 8.977 * * * * [progress]: [ 24 / 75 ] simplifiying candidate #real (real->posit16 (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))> 8.977 * * * * [progress]: [ 25 / 75 ] simplifiying candidate # 8.977 * * * * [progress]: [ 26 / 75 ] simplifiying candidate # 8.977 * * * * [progress]: [ 27 / 75 ] simplifiying candidate # 8.977 * * * * [progress]: [ 28 / 75 ] simplifiying candidate # 8.977 * * * * [progress]: [ 29 / 75 ] simplifiying candidate # 8.977 * * * * [progress]: [ 30 / 75 ] simplifiying candidate # 8.977 * * * * [progress]: [ 31 / 75 ] simplifiying candidate # 8.977 * * * * [progress]: [ 32 / 75 ] simplifiying candidate # 8.977 * * * * [progress]: [ 33 / 75 ] simplifiying candidate # 8.978 * * * * [progress]: [ 34 / 75 ] simplifiying candidate # 8.978 * * * * [progress]: [ 35 / 75 ] simplifiying candidate # 8.978 * * * * [progress]: [ 36 / 75 ] simplifiying candidate # 8.978 * * * * [progress]: [ 37 / 75 ] simplifiying candidate # 8.978 * * * * [progress]: [ 38 / 75 ] simplifiying candidate # 8.978 * * * * [progress]: [ 39 / 75 ] simplifiying candidate # 8.978 * * * * [progress]: [ 40 / 75 ] simplifiying candidate # 8.978 * * * * [progress]: [ 41 / 75 ] simplifiying candidate # 8.978 * * * * [progress]: [ 42 / 75 ] simplifiying candidate #real (real->posit16 (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))> 8.978 * * * * [progress]: [ 43 / 75 ] simplifiying candidate # 8.978 * * * * [progress]: [ 44 / 75 ] simplifiying candidate # 8.978 * * * * [progress]: [ 45 / 75 ] simplifiying candidate # 8.978 * * * * [progress]: [ 46 / 75 ] simplifiying candidate # 8.979 * * * * [progress]: [ 47 / 75 ] simplifiying candidate # 8.979 * * * * [progress]: [ 48 / 75 ] simplifiying candidate # 8.979 * * * * [progress]: [ 49 / 75 ] simplifiying candidate # 8.979 * * * * [progress]: [ 50 / 75 ] simplifiying candidate # 8.979 * * * * [progress]: [ 51 / 75 ] simplifiying candidate # 8.979 * * * * [progress]: [ 52 / 75 ] simplifiying candidate # 8.979 * * * * [progress]: [ 53 / 75 ] simplifiying candidate # 8.979 * * * * [progress]: [ 54 / 75 ] simplifiying candidate # 8.979 * * * * [progress]: [ 55 / 75 ] simplifiying candidate # 8.979 * * * * [progress]: [ 56 / 75 ] simplifiying candidate # 8.979 * * * * [progress]: [ 57 / 75 ] simplifiying candidate # 8.979 * * * * [progress]: [ 58 / 75 ] simplifiying candidate # 8.979 * * * * [progress]: [ 59 / 75 ] simplifiying candidate # 8.979 * * * * [progress]: [ 60 / 75 ] simplifiying candidate # 8.980 * * * * [progress]: [ 61 / 75 ] simplifiying candidate # 8.980 * * * * [progress]: [ 62 / 75 ] simplifiying candidate #real (real->posit16 (* (sin phi1) (sin phi2)))))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> 8.980 * * * * [progress]: [ 63 / 75 ] simplifiying candidate # 8.980 * * * * [progress]: [ 64 / 75 ] simplifiying candidate # 8.980 * * * * [progress]: [ 65 / 75 ] simplifiying candidate # 8.980 * * * * [progress]: [ 66 / 75 ] simplifiying candidate # 8.980 * * * * [progress]: [ 67 / 75 ] simplifiying candidate # 8.980 * * * * [progress]: [ 68 / 75 ] simplifiying candidate # 8.980 * * * * [progress]: [ 69 / 75 ] simplifiying candidate # 8.980 * * * * [progress]: [ 70 / 75 ] simplifiying candidate # 8.980 * * * * [progress]: [ 71 / 75 ] simplifiying candidate # 8.980 * * * * [progress]: [ 72 / 75 ] simplifiying candidate # 8.980 * * * * [progress]: [ 73 / 75 ] simplifiying candidate # 8.980 * * * * [progress]: [ 74 / 75 ] simplifiying candidate # 8.980 * * * * [progress]: [ 75 / 75 ] simplifiying candidate # 8.982 * [simplify]: Simplifying: (log (* (cbrt (exp (* (sin phi1) (sin phi2)))) (cbrt (exp (* (sin phi1) (sin phi2)))))) (log (cbrt (exp (* (sin phi1) (sin phi2))))) (log (sqrt (exp (* (sin phi1) (sin phi2))))) (log (sqrt (exp (* (sin phi1) (sin phi2))))) (log 1) (log (exp (* (sin phi1) (sin phi2)))) (log (exp (sin phi1))) (log (exp (* (sin phi1) (sin phi2)))) (log (exp (sin phi1))) (log (log (exp (* (sin phi1) (sin phi2))))) (exp (log (exp (* (sin phi1) (sin phi2))))) (* (cbrt (log (exp (* (sin phi1) (sin phi2))))) (cbrt (log (exp (* (sin phi1) (sin phi2)))))) (cbrt (log (exp (* (sin phi1) (sin phi2))))) (* (* (log (exp (* (sin phi1) (sin phi2)))) (log (exp (* (sin phi1) (sin phi2))))) (log (exp (* (sin phi1) (sin phi2))))) (sqrt (log (exp (* (sin phi1) (sin phi2))))) (sqrt (log (exp (* (sin phi1) (sin phi2))))) (real->posit16 (log (exp (* (sin phi1) (sin phi2))))) (/ PI 2) (asin (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (log (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (real->posit16 (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (+ (log (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log R)) (log (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (exp (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (* (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (* R R) R)) (* (cbrt (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (cbrt (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))) (cbrt (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (* (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (sqrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (sqrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt R) (cbrt R))) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 1) (* (cbrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (sqrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (real->posit16 (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (+ (log (sin phi1)) (log (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (* (sin phi1) 1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (real->posit16 (* (sin phi1) (sin phi2))) (* phi1 phi2) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (* phi1 phi2) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 8.985 * * [simplify]: iteration 0: 123 enodes 9.033 * * [simplify]: iteration 1: 232 enodes 9.091 * * [simplify]: iteration 2: 509 enodes 9.281 * * [simplify]: iteration 3: 1066 enodes 9.688 * * [simplify]: iteration 4: 1936 enodes 10.081 * * [simplify]: iteration complete: 2001 enodes 10.081 * * [simplify]: Extracting #0: cost 43 inf + 0 10.082 * * [simplify]: Extracting #1: cost 160 inf + 1 10.083 * * [simplify]: Extracting #2: cost 278 inf + 1180 10.085 * * [simplify]: Extracting #3: cost 286 inf + 7431 10.088 * * [simplify]: Extracting #4: cost 243 inf + 20090 10.097 * * [simplify]: Extracting #5: cost 204 inf + 28673 10.107 * * [simplify]: Extracting #6: cost 162 inf + 43120 10.118 * * [simplify]: Extracting #7: cost 102 inf + 85068 10.158 * * [simplify]: Extracting #8: cost 19 inf + 168232 10.221 * * [simplify]: Extracting #9: cost 0 inf + 186177 10.261 * [simplify]: Simplified to: (log (* (cbrt (exp (* (sin phi2) (sin phi1)))) (cbrt (exp (* (sin phi2) (sin phi1)))))) (log (cbrt (exp (* (sin phi2) (sin phi1))))) (log (sqrt (exp (* (sin phi2) (sin phi1))))) (log (sqrt (exp (* (sin phi2) (sin phi1))))) 0 (* (sin phi2) (sin phi1)) (sin phi1) (* (sin phi2) (sin phi1)) (sin phi1) (log (* (sin phi2) (sin phi1))) (exp (* (sin phi2) (sin phi1))) (* (cbrt (* (sin phi2) (sin phi1))) (cbrt (* (sin phi2) (sin phi1)))) (cbrt (* (sin phi2) (sin phi1))) (* (* (sin phi2) (sin phi1)) (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1)))) (sqrt (* (sin phi2) (sin phi1))) (sqrt (* (sin phi2) (sin phi1))) (real->posit16 (* (sin phi2) (sin phi1))) (/ PI 2) (asin (+ (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))) (log (acos (+ (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1))))) (exp (acos (+ (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1))))) (* (cbrt (acos (+ (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1))))) (cbrt (acos (+ (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))))) (cbrt (acos (+ (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1))))) (* (* (acos (+ (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))) (acos 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phi2) (cos phi1))) (* (sin phi2) (sin phi1)))))) (* (sqrt R) (sqrt (acos (+ (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))))) (* (acos (+ (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))) (sqrt R)) (acos (+ (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))) (* (cbrt (acos (+ (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1))))) R) (* (sqrt (acos (+ (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1))))) R) (* R (acos (+ (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1))))) (real->posit16 (* R (acos (+ (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))))) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi2) (sin phi1)) (log (* (sin phi2) (sin phi1))) (log (* (sin phi2) (sin phi1))) (exp (* (sin phi2) (sin phi1))) (* (* (sin phi2) (sin phi1)) (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1)))) (* (cbrt (* (sin phi2) (sin phi1))) (cbrt (* (sin phi2) (sin phi1)))) (cbrt (* (sin phi2) (sin phi1))) (* (* (sin phi2) (sin phi1)) (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1)))) (sqrt (* (sin phi2) (sin phi1))) (sqrt (* (sin phi2) (sin phi1))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (cbrt (sin phi2)) (* (cbrt (sin phi2)) (sin phi1))) (* (sin phi1) (sqrt (sin phi2))) (sin phi1) (* (sin phi2) (cbrt (sin phi1))) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi2) (sin phi1)) (real->posit16 (* (sin phi2) (sin phi1))) (* phi1 phi2) (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1)) (acos (+ (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))) (acos (+ (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))) (acos (+ (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))) (* R (acos (+ (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1))))) (* R (acos (+ (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1))))) (* R (acos (+ (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1))))) (* phi1 phi2) (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1)) 10.277 * * * [progress]: adding candidates to table 11.051 * [progress]: [Phase 3 of 3] Extracting. 11.051 * * [regime]: Finding splitpoints for: (# # # # # # # # #real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> # #real (real->posit16 (* (sin lambda1) (sin lambda2)))))))) R))> # # # # # # #) 11.065 * * * [regime-changes]: Trying 9 branch expressions: ((- lambda1 lambda2) (cos (- lambda1 lambda2)) (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) phi2 phi1 lambda2 lambda1 R) 11.065 * * * * [regimes]: Trying to branch on (- lambda1 lambda2) from (# # # # # # # # #real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> # #real (real->posit16 (* (sin lambda1) (sin lambda2)))))))) R))> # # # # # # #) 11.286 * * * * [regimes]: Trying to branch on (cos (- lambda1 lambda2)) from (# # # # # # # # #real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> # #real (real->posit16 (* (sin lambda1) (sin lambda2)))))))) R))> # # # # # # #) 11.558 * * * * [regimes]: Trying to branch on (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) from (# # # # # # # # #real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> # #real (real->posit16 (* (sin lambda1) (sin lambda2)))))))) R))> # # # # # # #) 11.817 * * * * [regimes]: Trying to branch on (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) from (# # # # # # # # #real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> # #real (real->posit16 (* (sin lambda1) (sin lambda2)))))))) R))> # # # # # # #) 12.069 * * * * [regimes]: Trying to branch on phi2 from (# # # # # # # # #real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> # #real (real->posit16 (* (sin lambda1) (sin lambda2)))))))) R))> # # # # # # #) 12.310 * * * * [regimes]: Trying to branch on phi1 from (# # # # # # # # #real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> # #real (real->posit16 (* (sin lambda1) (sin lambda2)))))))) R))> # # # # # # #) 12.607 * * * * [regimes]: Trying to branch on lambda2 from (# # # # # # # # #real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> # #real (real->posit16 (* (sin lambda1) (sin lambda2)))))))) R))> # # # # # # #) 12.815 * * * * [regimes]: Trying to branch on lambda1 from (# # # # # # # # #real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> # #real (real->posit16 (* (sin lambda1) (sin lambda2)))))))) R))> # # # # # # #) 13.069 * * * * [regimes]: Trying to branch on R from (# # # # # # # # #real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> # #real (real->posit16 (* (sin lambda1) (sin lambda2)))))))) R))> # # # # # # #) 13.327 * * * [regime]: Found split indices: #