11.394 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.269 * * * [progress]: [2/2] Setting up program. 0.274 * [progress]: [Phase 2 of 3] Improving. 0.274 * [simplify]: Simplifying using # : (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 0.276 * * [simplify]: iteration 0 : 27 enodes (cost 12 ) 0.278 * * [simplify]: iteration 1 : 39 enodes (cost 12 ) 0.279 * * [simplify]: iteration 2 : 44 enodes (cost 12 ) 0.281 * * [simplify]: iteration 3 : 45 enodes (cost 12 ) 0.282 * * [simplify]: iteration 4 : 45 enodes (cost 12 ) 0.282 * [simplify]: Simplified to: (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 0.283 * * [progress]: iteration 1 / 4 0.283 * * * [progress]: picking best candidate 0.286 * * * * [pick]: Picked # 0.286 * * * [progress]: localizing error 0.311 * * * [progress]: generating rewritten candidates 0.311 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2) 0.317 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.318 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.321 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 0.328 * * * [progress]: generating series expansions 0.328 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2) 0.328 * [approximate]: Taking taylor expansion of (cos (- lambda1 lambda2)) in (lambda1 lambda2) around 0 0.328 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2 0.328 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2 0.328 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.328 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.329 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.329 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.329 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.329 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.329 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.329 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.329 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.329 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.330 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.330 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.330 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.332 * [taylor]: Taking taylor expansion of (- (sin (- lambda2))) in lambda2 0.332 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 0.332 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.332 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.336 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda2)))) in lambda2 0.336 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda2))) in lambda2 0.336 * [taylor]: Taking taylor expansion of 1/2 in lambda2 0.336 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.336 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.336 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.338 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in (lambda1 lambda2) around 0 0.338 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.338 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.338 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.338 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.338 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.338 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.339 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.339 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.339 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.339 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.339 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.339 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.340 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.340 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.340 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.340 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.340 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.340 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.341 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.341 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.341 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.341 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.341 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.341 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.341 * [taylor]: Taking taylor expansion of 0 in lambda2 0.342 * [taylor]: Taking taylor expansion of 0 in lambda2 0.342 * [taylor]: Taking taylor expansion of 0 in lambda2 0.342 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in (lambda1 lambda2) around 0 0.342 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.342 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.342 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.342 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.342 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.342 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.342 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.342 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.343 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.343 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.343 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.343 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.343 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.343 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.343 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.343 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.343 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.343 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.344 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.344 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.344 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.344 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.345 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.345 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.345 * [taylor]: Taking taylor expansion of 0 in lambda2 0.345 * [taylor]: Taking taylor expansion of 0 in lambda2 0.345 * [taylor]: Taking taylor expansion of 0 in lambda2 0.345 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.346 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 0.346 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.346 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.346 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.346 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.346 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.347 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.347 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.347 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.352 * [taylor]: Taking taylor expansion of 0 in phi2 0.352 * [taylor]: Taking taylor expansion of 0 in lambda1 0.352 * [taylor]: Taking taylor expansion of 0 in lambda2 0.352 * [taylor]: Taking taylor expansion of 0 in lambda1 0.352 * [taylor]: Taking taylor expansion of 0 in lambda2 0.352 * [taylor]: Taking taylor expansion of 0 in lambda2 0.352 * [taylor]: Taking taylor expansion of 0 in phi2 0.352 * [taylor]: Taking taylor expansion of 0 in lambda1 0.352 * [taylor]: Taking taylor expansion of 0 in lambda2 0.352 * [taylor]: Taking taylor expansion of 0 in lambda1 0.352 * [taylor]: Taking taylor expansion of 0 in lambda2 0.353 * [approximate]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0 0.353 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda2 0.353 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda1 0.353 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi2 0.353 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi1 0.354 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi1 0.354 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi2 0.354 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda1 0.355 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda2 0.355 * [taylor]: Taking taylor expansion of 0 in phi2 0.355 * [taylor]: Taking taylor expansion of 0 in lambda1 0.355 * [taylor]: Taking taylor expansion of 0 in lambda2 0.355 * [taylor]: Taking taylor expansion of 0 in lambda1 0.356 * [taylor]: Taking taylor expansion of 0 in lambda2 0.356 * [taylor]: Taking taylor expansion of 0 in lambda2 0.356 * [taylor]: Taking taylor expansion of 0 in phi2 0.356 * [taylor]: Taking taylor expansion of 0 in lambda1 0.356 * [taylor]: Taking taylor expansion of 0 in lambda2 0.356 * [taylor]: Taking taylor expansion of 0 in lambda1 0.356 * [taylor]: Taking taylor expansion of 0 in lambda2 0.356 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 0.356 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda2 0.357 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda1 0.357 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi2 0.357 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi1 0.357 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi1 0.358 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi2 0.358 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda1 0.358 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda2 0.359 * [taylor]: Taking taylor expansion of 0 in phi2 0.359 * [taylor]: Taking taylor expansion of 0 in lambda1 0.359 * [taylor]: Taking taylor expansion of 0 in lambda2 0.359 * [taylor]: Taking taylor expansion of 0 in lambda1 0.359 * [taylor]: Taking taylor expansion of 0 in lambda2 0.359 * [taylor]: Taking taylor expansion of 0 in lambda2 0.359 * [taylor]: Taking taylor expansion of 0 in phi2 0.359 * [taylor]: Taking taylor expansion of 0 in lambda1 0.359 * [taylor]: Taking taylor expansion of 0 in lambda2 0.359 * [taylor]: Taking taylor expansion of 0 in lambda1 0.359 * [taylor]: Taking taylor expansion of 0 in lambda2 0.359 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.360 * [approximate]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 0.360 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R 0.360 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R 0.360 * [taylor]: Taking taylor expansion of R in R 0.360 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2 0.360 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.360 * [taylor]: Taking taylor expansion of R in lambda2 0.360 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1 0.360 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.360 * [taylor]: Taking taylor expansion of R in lambda1 0.360 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2 0.360 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.361 * [taylor]: Taking taylor expansion of R in phi2 0.361 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1 0.361 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.361 * [taylor]: Taking taylor expansion of R in phi1 0.361 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1 0.361 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.361 * [taylor]: Taking taylor expansion of R in phi1 0.361 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2 0.361 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.361 * [taylor]: Taking taylor expansion of R in phi2 0.362 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1 0.362 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.362 * [taylor]: Taking taylor expansion of R in lambda1 0.362 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2 0.362 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.362 * [taylor]: Taking taylor expansion of R in lambda2 0.362 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R 0.362 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R 0.363 * [taylor]: Taking taylor expansion of R in R 0.363 * [taylor]: Taking taylor expansion of 0 in phi2 0.363 * [taylor]: Taking taylor expansion of 0 in lambda1 0.363 * [taylor]: Taking taylor expansion of 0 in lambda2 0.363 * [taylor]: Taking taylor expansion of 0 in R 0.363 * [taylor]: Taking taylor expansion of 0 in lambda1 0.363 * [taylor]: Taking taylor expansion of 0 in lambda2 0.363 * [taylor]: Taking taylor expansion of 0 in R 0.364 * [taylor]: Taking taylor expansion of 0 in lambda2 0.364 * [taylor]: Taking taylor expansion of 0 in R 0.364 * [taylor]: Taking taylor expansion of 0 in R 0.365 * [taylor]: Taking taylor expansion of 0 in phi2 0.365 * [taylor]: Taking taylor expansion of 0 in lambda1 0.365 * [taylor]: Taking taylor expansion of 0 in lambda2 0.365 * [taylor]: Taking taylor expansion of 0 in R 0.365 * [taylor]: Taking taylor expansion of 0 in lambda1 0.365 * [taylor]: Taking taylor expansion of 0 in lambda2 0.366 * [taylor]: Taking taylor expansion of 0 in R 0.366 * [taylor]: Taking taylor expansion of 0 in lambda1 0.366 * [taylor]: Taking taylor expansion of 0 in lambda2 0.366 * [taylor]: Taking taylor expansion of 0 in R 0.366 * [taylor]: Taking taylor expansion of 0 in lambda2 0.366 * [taylor]: Taking taylor expansion of 0 in R 0.366 * [taylor]: Taking taylor expansion of 0 in lambda2 0.366 * [taylor]: Taking taylor expansion of 0 in R 0.367 * [taylor]: Taking taylor expansion of 0 in lambda2 0.367 * [taylor]: Taking taylor expansion of 0 in R 0.368 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 0.368 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in R 0.368 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in R 0.368 * [taylor]: Taking taylor expansion of R in R 0.368 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in lambda2 0.368 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda2 0.368 * [taylor]: Taking taylor expansion of R in lambda2 0.369 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in lambda1 0.369 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda1 0.369 * [taylor]: Taking taylor expansion of R in lambda1 0.369 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in phi2 0.369 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi2 0.370 * [taylor]: Taking taylor expansion of R in phi2 0.370 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in phi1 0.370 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi1 0.370 * [taylor]: Taking taylor expansion of R in phi1 0.370 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in phi1 0.370 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi1 0.371 * [taylor]: Taking taylor expansion of R in phi1 0.371 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in phi2 0.371 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi2 0.371 * [taylor]: Taking taylor expansion of R in phi2 0.371 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in lambda1 0.372 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda1 0.372 * [taylor]: Taking taylor expansion of R in lambda1 0.372 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in lambda2 0.372 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda2 0.372 * [taylor]: Taking taylor expansion of R in lambda2 0.373 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in R 0.373 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in R 0.373 * [taylor]: Taking taylor expansion of R in R 0.374 * [taylor]: Taking taylor expansion of 0 in phi2 0.374 * [taylor]: Taking taylor expansion of 0 in lambda1 0.374 * [taylor]: Taking taylor expansion of 0 in lambda2 0.374 * [taylor]: Taking taylor expansion of 0 in R 0.374 * [taylor]: Taking taylor expansion of 0 in lambda1 0.374 * [taylor]: Taking taylor expansion of 0 in lambda2 0.374 * [taylor]: Taking taylor expansion of 0 in R 0.375 * [taylor]: Taking taylor expansion of 0 in lambda2 0.375 * [taylor]: Taking taylor expansion of 0 in R 0.375 * [taylor]: Taking taylor expansion of 0 in R 0.376 * [taylor]: Taking taylor expansion of 0 in phi2 0.376 * [taylor]: Taking taylor expansion of 0 in lambda1 0.376 * [taylor]: Taking taylor expansion of 0 in lambda2 0.376 * [taylor]: Taking taylor expansion of 0 in R 0.376 * [taylor]: Taking taylor expansion of 0 in lambda1 0.376 * [taylor]: Taking taylor expansion of 0 in lambda2 0.376 * [taylor]: Taking taylor expansion of 0 in R 0.377 * [taylor]: Taking taylor expansion of 0 in lambda1 0.377 * [taylor]: Taking taylor expansion of 0 in lambda2 0.377 * [taylor]: Taking taylor expansion of 0 in R 0.377 * [taylor]: Taking taylor expansion of 0 in lambda2 0.377 * [taylor]: Taking taylor expansion of 0 in R 0.377 * [taylor]: Taking taylor expansion of 0 in lambda2 0.377 * [taylor]: Taking taylor expansion of 0 in R 0.377 * [taylor]: Taking taylor expansion of 0 in lambda2 0.377 * [taylor]: Taking taylor expansion of 0 in R 0.377 * [taylor]: Taking taylor expansion of 0 in R 0.377 * [taylor]: Taking taylor expansion of 0 in R 0.377 * [taylor]: Taking taylor expansion of 0 in R 0.378 * [taylor]: Taking taylor expansion of 0 in R 0.380 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 0.380 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in R 0.380 * [taylor]: Taking taylor expansion of -1 in R 0.380 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in R 0.380 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in R 0.380 * [taylor]: Taking taylor expansion of R in R 0.381 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in lambda2 0.381 * [taylor]: Taking taylor expansion of -1 in lambda2 0.381 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in lambda2 0.381 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda2 0.381 * [taylor]: Taking taylor expansion of R in lambda2 0.381 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in lambda1 0.381 * [taylor]: Taking taylor expansion of -1 in lambda1 0.381 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in lambda1 0.381 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda1 0.382 * [taylor]: Taking taylor expansion of R in lambda1 0.382 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in phi2 0.382 * [taylor]: Taking taylor expansion of -1 in phi2 0.382 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in phi2 0.382 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi2 0.382 * [taylor]: Taking taylor expansion of R in phi2 0.382 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in phi1 0.383 * [taylor]: Taking taylor expansion of -1 in phi1 0.383 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in phi1 0.383 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi1 0.383 * [taylor]: Taking taylor expansion of R in phi1 0.383 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in phi1 0.383 * [taylor]: Taking taylor expansion of -1 in phi1 0.383 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in phi1 0.383 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi1 0.383 * [taylor]: Taking taylor expansion of R in phi1 0.384 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in phi2 0.384 * [taylor]: Taking taylor expansion of -1 in phi2 0.384 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in phi2 0.384 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi2 0.384 * [taylor]: Taking taylor expansion of R in phi2 0.385 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in lambda1 0.385 * [taylor]: Taking taylor expansion of -1 in lambda1 0.385 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in lambda1 0.385 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda1 0.385 * [taylor]: Taking taylor expansion of R in lambda1 0.386 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in lambda2 0.386 * [taylor]: Taking taylor expansion of -1 in lambda2 0.386 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in lambda2 0.386 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda2 0.387 * [taylor]: Taking taylor expansion of R in lambda2 0.387 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in R 0.387 * [taylor]: Taking taylor expansion of -1 in R 0.387 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in R 0.387 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in R 0.387 * [taylor]: Taking taylor expansion of R in R 0.389 * [taylor]: Taking taylor expansion of 0 in phi2 0.389 * [taylor]: Taking taylor expansion of 0 in lambda1 0.389 * [taylor]: Taking taylor expansion of 0 in lambda2 0.389 * [taylor]: Taking taylor expansion of 0 in R 0.390 * [taylor]: Taking taylor expansion of 0 in lambda1 0.390 * [taylor]: Taking taylor expansion of 0 in lambda2 0.390 * [taylor]: Taking taylor expansion of 0 in R 0.391 * [taylor]: Taking taylor expansion of 0 in lambda2 0.391 * [taylor]: Taking taylor expansion of 0 in R 0.392 * [taylor]: Taking taylor expansion of 0 in R 0.395 * [taylor]: Taking taylor expansion of 0 in phi2 0.395 * [taylor]: Taking taylor expansion of 0 in lambda1 0.395 * [taylor]: Taking taylor expansion of 0 in lambda2 0.395 * [taylor]: Taking taylor expansion of 0 in R 0.395 * [taylor]: Taking taylor expansion of 0 in lambda1 0.395 * [taylor]: Taking taylor expansion of 0 in lambda2 0.395 * [taylor]: Taking taylor expansion of 0 in R 0.396 * [taylor]: Taking taylor expansion of 0 in lambda1 0.396 * [taylor]: Taking taylor expansion of 0 in lambda2 0.396 * [taylor]: Taking taylor expansion of 0 in R 0.396 * [taylor]: Taking taylor expansion of 0 in lambda2 0.396 * [taylor]: Taking taylor expansion of 0 in R 0.396 * [taylor]: Taking taylor expansion of 0 in lambda2 0.396 * [taylor]: Taking taylor expansion of 0 in R 0.397 * [taylor]: Taking taylor expansion of 0 in lambda2 0.397 * [taylor]: Taking taylor expansion of 0 in R 0.398 * [taylor]: Taking taylor expansion of 0 in R 0.398 * [taylor]: Taking taylor expansion of 0 in R 0.398 * [taylor]: Taking taylor expansion of 0 in R 0.399 * [taylor]: Taking taylor expansion of 0 in R 0.401 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 0.402 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 0.402 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 0.402 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 0.402 * [taylor]: Taking taylor expansion of phi1 in phi2 0.402 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.402 * [taylor]: Taking taylor expansion of phi2 in phi2 0.402 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.402 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.402 * [taylor]: Taking taylor expansion of phi1 in phi1 0.402 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.402 * [taylor]: Taking taylor expansion of phi2 in phi1 0.402 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.402 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.402 * [taylor]: Taking taylor expansion of phi1 in phi1 0.402 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.402 * [taylor]: Taking taylor expansion of phi2 in phi1 0.402 * [taylor]: Taking taylor expansion of 0 in phi2 0.404 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.404 * [taylor]: Taking taylor expansion of phi2 in phi2 0.407 * [taylor]: Taking taylor expansion of 0 in phi2 0.412 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 0.412 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 0.412 * [taylor]: Taking taylor expansion of 1/6 in phi2 0.412 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.412 * [taylor]: Taking taylor expansion of phi2 in phi2 0.418 * [taylor]: Taking taylor expansion of 0 in phi2 0.418 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 0.418 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.418 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.418 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.418 * [taylor]: Taking taylor expansion of phi1 in phi2 0.418 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.418 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.418 * [taylor]: Taking taylor expansion of phi2 in phi2 0.418 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.418 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.418 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.418 * [taylor]: Taking taylor expansion of phi1 in phi1 0.419 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.419 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.419 * [taylor]: Taking taylor expansion of phi2 in phi1 0.419 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.419 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.419 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.419 * [taylor]: Taking taylor expansion of phi1 in phi1 0.419 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.419 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.419 * [taylor]: Taking taylor expansion of phi2 in phi1 0.419 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.419 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.419 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.419 * [taylor]: Taking taylor expansion of phi1 in phi2 0.419 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.419 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.420 * [taylor]: Taking taylor expansion of phi2 in phi2 0.422 * [taylor]: Taking taylor expansion of 0 in phi2 0.426 * [taylor]: Taking taylor expansion of 0 in phi2 0.431 * [taylor]: Taking taylor expansion of 0 in phi2 0.431 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 0.431 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.431 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.431 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.431 * [taylor]: Taking taylor expansion of -1 in phi2 0.431 * [taylor]: Taking taylor expansion of phi1 in phi2 0.431 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.431 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.431 * [taylor]: Taking taylor expansion of -1 in phi2 0.431 * [taylor]: Taking taylor expansion of phi2 in phi2 0.432 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.432 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.432 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.432 * [taylor]: Taking taylor expansion of -1 in phi1 0.432 * [taylor]: Taking taylor expansion of phi1 in phi1 0.432 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.432 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.432 * [taylor]: Taking taylor expansion of -1 in phi1 0.432 * [taylor]: Taking taylor expansion of phi2 in phi1 0.432 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.432 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.432 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.432 * [taylor]: Taking taylor expansion of -1 in phi1 0.432 * [taylor]: Taking taylor expansion of phi1 in phi1 0.433 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.433 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.433 * [taylor]: Taking taylor expansion of -1 in phi1 0.433 * [taylor]: Taking taylor expansion of phi2 in phi1 0.433 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.433 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.433 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.433 * [taylor]: Taking taylor expansion of -1 in phi2 0.433 * [taylor]: Taking taylor expansion of phi1 in phi2 0.433 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.433 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.433 * [taylor]: Taking taylor expansion of -1 in phi2 0.433 * [taylor]: Taking taylor expansion of phi2 in phi2 0.435 * [taylor]: Taking taylor expansion of 0 in phi2 0.444 * [taylor]: Taking taylor expansion of 0 in phi2 0.449 * [taylor]: Taking taylor expansion of 0 in phi2 0.449 * * * [progress]: simplifying candidates 0.450 * [simplify]: Simplifying using # : (expm1 (cos (- lambda1 lambda2))) (log1p (cos (- lambda1 lambda2))) (* (cos (fma (* (cbrt lambda1) (cbrt lambda1)) (cbrt lambda1) (- (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (cos (fma (- (cbrt lambda2)) (* (cbrt lambda2) (cbrt lambda2)) (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (* (sin (fma (* (cbrt lambda1) (cbrt lambda1)) (cbrt lambda1) (- (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (sin (fma (- (cbrt lambda2)) (* (cbrt lambda2) (cbrt lambda2)) (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (* (cos (fma (* (cbrt lambda1) (cbrt lambda1)) (cbrt lambda1) (- (* (sqrt lambda2) (sqrt lambda2))))) (cos (fma (- (sqrt lambda2)) (sqrt lambda2) (* (sqrt lambda2) (sqrt lambda2))))) (* (sin (fma (* (cbrt lambda1) (cbrt lambda1)) (cbrt lambda1) (- (* (sqrt lambda2) (sqrt lambda2))))) (sin (fma (- (sqrt lambda2)) (sqrt lambda2) (* (sqrt lambda2) (sqrt lambda2))))) (* (cos (fma (* (cbrt lambda1) (cbrt lambda1)) (cbrt lambda1) (- (* lambda2 1)))) (cos (fma (- lambda2) 1 (* lambda2 1)))) (* (sin (fma (* (cbrt lambda1) (cbrt lambda1)) (cbrt lambda1) (- (* lambda2 1)))) (sin (fma (- lambda2) 1 (* lambda2 1)))) (* (cos (fma (sqrt lambda1) (sqrt lambda1) (- (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (cos (fma (- (cbrt lambda2)) (* (cbrt lambda2) (cbrt lambda2)) (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (* (sin (fma (sqrt lambda1) (sqrt lambda1) (- (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (sin (fma (- (cbrt lambda2)) (* (cbrt lambda2) (cbrt lambda2)) (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (* (cos (fma (sqrt lambda1) (sqrt lambda1) (- (* (sqrt lambda2) (sqrt lambda2))))) (cos (fma (- (sqrt lambda2)) (sqrt lambda2) (* (sqrt lambda2) (sqrt lambda2))))) (* (sin (fma (sqrt lambda1) (sqrt lambda1) (- (* (sqrt lambda2) (sqrt lambda2))))) (sin (fma (- (sqrt lambda2)) (sqrt lambda2) (* (sqrt lambda2) (sqrt lambda2))))) (* (cos (fma (sqrt lambda1) (sqrt lambda1) (- (* lambda2 1)))) (cos (fma (- lambda2) 1 (* lambda2 1)))) (* (sin (fma (sqrt lambda1) (sqrt lambda1) (- (* lambda2 1)))) (sin (fma (- lambda2) 1 (* lambda2 1)))) (* (cos (fma 1 lambda1 (- (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (cos (fma (- (cbrt lambda2)) (* (cbrt lambda2) (cbrt lambda2)) (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (* (sin (fma 1 lambda1 (- (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (sin (fma (- (cbrt lambda2)) (* (cbrt lambda2) (cbrt lambda2)) (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (* (cos (fma 1 lambda1 (- (* (sqrt lambda2) (sqrt lambda2))))) (cos (fma (- (sqrt lambda2)) (sqrt lambda2) (* (sqrt lambda2) (sqrt lambda2))))) (* (sin (fma 1 lambda1 (- (* (sqrt lambda2) (sqrt lambda2))))) (sin (fma (- (sqrt lambda2)) (sqrt lambda2) (* (sqrt lambda2) (sqrt lambda2))))) (* (cos (fma 1 lambda1 (- (* lambda2 1)))) (cos (fma (- lambda2) 1 (* lambda2 1)))) (* (sin (fma 1 lambda1 (- (* lambda2 1)))) (sin (fma (- lambda2) 1 (* lambda2 1)))) (* (cos lambda1) (cos (- lambda2))) (* (sin lambda1) (sin (- lambda2))) (* (cos lambda1) (cos (- lambda2))) (* (sin lambda1) (sin (- lambda2))) (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)) (log (cos (- lambda1 lambda2))) (exp (cos (- lambda1 lambda2))) (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2)))) (cbrt (cos (- lambda1 lambda2))) (* (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))) (expm1 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (log1p (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (expm1 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (log1p (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (log R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (* R R) R)) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) 1) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (expm1 (* (sin phi1) (sin phi2))) (log1p (* (sin phi1) (sin phi2))) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (+ (log (sin phi1)) (log (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (* (sin phi1) 1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2))) (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2)) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 0.456 * * [simplify]: iteration 0 : 323 enodes (cost 995 ) 0.461 * * [simplify]: iteration 1 : 789 enodes (cost 819 ) 0.474 * * [simplify]: iteration 2 : 2620 enodes (cost 818 ) 0.510 * * [simplify]: iteration 3 : 5002 enodes (cost 793 ) 0.514 * [simplify]: Simplified to: (expm1 (cos (- lambda1 lambda2))) (log1p (cos (- lambda1 lambda2))) (* (cos (fma 1 lambda1 (- (* lambda2 1)))) (cos (fma (- lambda2) 1 (* lambda2 1)))) (* (sin (fma 1 lambda1 (- (* lambda2 1)))) (sin (fma (- lambda2) 1 (* lambda2 1)))) (* (cos (fma 1 lambda1 (- (* lambda2 1)))) (cos (fma (- lambda2) 1 (* lambda2 1)))) (* (sin (fma 1 lambda1 (- (* lambda2 1)))) (sin (fma (- lambda2) 1 (* lambda2 1)))) (* (cos (fma 1 lambda1 (- (* lambda2 1)))) (cos (fma (- lambda2) 1 (* lambda2 1)))) (* (sin (fma 1 lambda1 (- (* lambda2 1)))) (sin (fma (- lambda2) 1 (* lambda2 1)))) (* (cos (fma 1 lambda1 (- (* lambda2 1)))) (cos (fma (- lambda2) 1 (* lambda2 1)))) (* (sin (fma 1 lambda1 (- (* lambda2 1)))) (sin (fma (- lambda2) 1 (* lambda2 1)))) (* (cos (fma 1 lambda1 (- (* lambda2 1)))) (cos (fma (- lambda2) 1 (* lambda2 1)))) (* (sin (fma 1 lambda1 (- (* lambda2 1)))) (sin (fma (- lambda2) 1 (* lambda2 1)))) (* (cos (fma 1 lambda1 (- (* lambda2 1)))) (cos (fma (- lambda2) 1 (* lambda2 1)))) (* (sin (fma 1 lambda1 (- (* lambda2 1)))) (sin (fma (- lambda2) 1 (* lambda2 1)))) (* (cos (fma 1 lambda1 (- (* lambda2 1)))) (cos (fma (- lambda2) 1 (* lambda2 1)))) (* (sin (fma 1 lambda1 (- (* lambda2 1)))) (sin (fma (- lambda2) 1 (* lambda2 1)))) (* (cos (fma 1 lambda1 (- (* lambda2 1)))) (cos (fma (- lambda2) 1 (* lambda2 1)))) (* (sin (fma 1 lambda1 (- (* lambda2 1)))) (sin (fma (- lambda2) 1 (* lambda2 1)))) (* (cos (fma 1 lambda1 (- (* lambda2 1)))) (cos (fma (- lambda2) 1 (* lambda2 1)))) (* (sin (fma 1 lambda1 (- (* lambda2 1)))) (sin (fma (- lambda2) 1 (* lambda2 1)))) (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))) (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))) (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)) (log (cos (- lambda1 lambda2))) (exp (cos (- lambda1 lambda2))) (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2)))) (cbrt (cos (- lambda1 lambda2))) (pow (cos (- lambda1 lambda2)) 3) (sqrt (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))) (expm1 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (log1p (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) 3) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (expm1 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (log1p (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (log (* (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))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) 3) (* (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)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) 3) (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))))) (* (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 (- lambda1 lambda2)) (cos phi2))))) R) (expm1 (* (sin phi1) (sin phi2))) (log1p (* (sin phi1) (sin phi2))) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (log (* (sin phi1) (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (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) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (fma lambda1 (- lambda2 (* 1/2 lambda1)) 1) (cos (- lambda1 lambda2)) (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))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 0.514 * * * [progress]: adding candidates to table 0.805 * * [progress]: iteration 2 / 4 0.805 * * * [progress]: picking best candidate 0.876 * * * * [pick]: Picked # 0.876 * * * [progress]: localizing error 0.913 * * * [progress]: generating rewritten candidates 0.913 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.914 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.917 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 0.922 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 2 2) 0.928 * * * [progress]: generating series expansions 0.928 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.929 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0 0.929 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 0.929 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 0.930 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 0.930 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 0.931 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 0.931 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 0.931 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 0.932 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 0.933 * [taylor]: Taking taylor expansion of 0 in phi2 0.933 * [taylor]: Taking taylor expansion of 0 in lambda1 0.933 * [taylor]: Taking taylor expansion of 0 in lambda2 0.933 * [taylor]: Taking taylor expansion of 0 in lambda1 0.933 * [taylor]: Taking taylor expansion of 0 in lambda2 0.933 * [taylor]: Taking taylor expansion of 0 in lambda2 0.933 * [taylor]: Taking taylor expansion of 0 in phi2 0.933 * [taylor]: Taking taylor expansion of 0 in lambda1 0.933 * [taylor]: Taking taylor expansion of 0 in lambda2 0.933 * [taylor]: Taking taylor expansion of 0 in lambda1 0.933 * [taylor]: Taking taylor expansion of 0 in lambda2 0.934 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0 0.934 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 0.934 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 0.935 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 0.935 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 0.935 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 0.936 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 0.936 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 0.937 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 0.938 * [taylor]: Taking taylor expansion of 0 in phi2 0.938 * [taylor]: Taking taylor expansion of 0 in lambda1 0.938 * [taylor]: Taking taylor expansion of 0 in lambda2 0.938 * [taylor]: Taking taylor expansion of 0 in lambda1 0.938 * [taylor]: Taking taylor expansion of 0 in lambda2 0.938 * [taylor]: Taking taylor expansion of 0 in lambda2 0.938 * [taylor]: Taking taylor expansion of 0 in phi2 0.938 * [taylor]: Taking taylor expansion of 0 in lambda1 0.938 * [taylor]: Taking taylor expansion of 0 in lambda2 0.938 * [taylor]: Taking taylor expansion of 0 in lambda1 0.938 * [taylor]: Taking taylor expansion of 0 in lambda2 0.939 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0 0.939 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 0.940 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 0.940 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 0.941 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 0.941 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 0.942 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 0.942 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 0.943 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 0.944 * [taylor]: Taking taylor expansion of 0 in phi2 0.944 * [taylor]: Taking taylor expansion of 0 in lambda1 0.944 * [taylor]: Taking taylor expansion of 0 in lambda2 0.944 * [taylor]: Taking taylor expansion of 0 in lambda1 0.944 * [taylor]: Taking taylor expansion of 0 in lambda2 0.944 * [taylor]: Taking taylor expansion of 0 in lambda2 0.944 * [taylor]: Taking taylor expansion of 0 in phi2 0.944 * [taylor]: Taking taylor expansion of 0 in lambda1 0.944 * [taylor]: Taking taylor expansion of 0 in lambda2 0.944 * [taylor]: Taking taylor expansion of 0 in lambda1 0.944 * [taylor]: Taking taylor expansion of 0 in lambda2 0.944 * * * * [progress]: [ 2 / 4 ] generating series at (2) 0.945 * [approximate]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 0.945 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in R 0.945 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in R 0.945 * [taylor]: Taking taylor expansion of R in R 0.945 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda2 0.945 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 0.946 * [taylor]: Taking taylor expansion of R in lambda2 0.946 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda1 0.946 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 0.946 * [taylor]: Taking taylor expansion of R in lambda1 0.946 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi2 0.946 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 0.946 * [taylor]: Taking taylor expansion of R in phi2 0.946 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi1 0.946 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 0.947 * [taylor]: Taking taylor expansion of R in phi1 0.947 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi1 0.947 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 0.947 * [taylor]: Taking taylor expansion of R in phi1 0.948 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi2 0.948 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 0.948 * [taylor]: Taking taylor expansion of R in phi2 0.948 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda1 0.948 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 0.949 * [taylor]: Taking taylor expansion of R in lambda1 0.949 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda2 0.949 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 0.949 * [taylor]: Taking taylor expansion of R in lambda2 0.950 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in R 0.950 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in R 0.950 * [taylor]: Taking taylor expansion of R in R 0.951 * [taylor]: Taking taylor expansion of 0 in phi2 0.951 * [taylor]: Taking taylor expansion of 0 in lambda1 0.951 * [taylor]: Taking taylor expansion of 0 in lambda2 0.951 * [taylor]: Taking taylor expansion of 0 in R 0.951 * [taylor]: Taking taylor expansion of 0 in lambda1 0.951 * [taylor]: Taking taylor expansion of 0 in lambda2 0.951 * [taylor]: Taking taylor expansion of 0 in R 0.952 * [taylor]: Taking taylor expansion of 0 in lambda2 0.952 * [taylor]: Taking taylor expansion of 0 in R 0.952 * [taylor]: Taking taylor expansion of 0 in R 0.954 * [taylor]: Taking taylor expansion of 0 in phi2 0.954 * [taylor]: Taking taylor expansion of 0 in lambda1 0.954 * [taylor]: Taking taylor expansion of 0 in lambda2 0.954 * [taylor]: Taking taylor expansion of 0 in R 0.954 * [taylor]: Taking taylor expansion of 0 in lambda1 0.954 * [taylor]: Taking taylor expansion of 0 in lambda2 0.955 * [taylor]: Taking taylor expansion of 0 in R 0.955 * [taylor]: Taking taylor expansion of 0 in lambda1 0.955 * [taylor]: Taking taylor expansion of 0 in lambda2 0.955 * [taylor]: Taking taylor expansion of 0 in R 0.955 * [taylor]: Taking taylor expansion of 0 in lambda2 0.955 * [taylor]: Taking taylor expansion of 0 in R 0.955 * [taylor]: Taking taylor expansion of 0 in lambda2 0.956 * [taylor]: Taking taylor expansion of 0 in R 0.956 * [taylor]: Taking taylor expansion of 0 in lambda2 0.956 * [taylor]: Taking taylor expansion of 0 in R 0.957 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 0.957 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in R 0.958 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R 0.958 * [taylor]: Taking taylor expansion of R in R 0.958 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda2 0.958 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 0.959 * [taylor]: Taking taylor expansion of R in lambda2 0.959 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda1 0.959 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 0.960 * [taylor]: Taking taylor expansion of R in lambda1 0.960 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi2 0.960 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 0.961 * [taylor]: Taking taylor expansion of R in phi2 0.961 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi1 0.961 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 0.962 * [taylor]: Taking taylor expansion of R in phi1 0.962 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi1 0.962 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 0.963 * [taylor]: Taking taylor expansion of R in phi1 0.963 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi2 0.963 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 0.964 * [taylor]: Taking taylor expansion of R in phi2 0.964 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda1 0.964 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 0.965 * [taylor]: Taking taylor expansion of R in lambda1 0.965 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda2 0.965 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 0.966 * [taylor]: Taking taylor expansion of R in lambda2 0.966 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in R 0.966 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R 0.967 * [taylor]: Taking taylor expansion of R in R 0.968 * [taylor]: Taking taylor expansion of 0 in phi2 0.968 * [taylor]: Taking taylor expansion of 0 in lambda1 0.968 * [taylor]: Taking taylor expansion of 0 in lambda2 0.968 * [taylor]: Taking taylor expansion of 0 in R 0.969 * [taylor]: Taking taylor expansion of 0 in lambda1 0.969 * [taylor]: Taking taylor expansion of 0 in lambda2 0.969 * [taylor]: Taking taylor expansion of 0 in R 0.970 * [taylor]: Taking taylor expansion of 0 in lambda2 0.970 * [taylor]: Taking taylor expansion of 0 in R 0.970 * [taylor]: Taking taylor expansion of 0 in R 0.972 * [taylor]: Taking taylor expansion of 0 in phi2 0.972 * [taylor]: Taking taylor expansion of 0 in lambda1 0.972 * [taylor]: Taking taylor expansion of 0 in lambda2 0.972 * [taylor]: Taking taylor expansion of 0 in R 0.972 * [taylor]: Taking taylor expansion of 0 in lambda1 0.972 * [taylor]: Taking taylor expansion of 0 in lambda2 0.972 * [taylor]: Taking taylor expansion of 0 in R 0.973 * [taylor]: Taking taylor expansion of 0 in lambda1 0.973 * [taylor]: Taking taylor expansion of 0 in lambda2 0.973 * [taylor]: Taking taylor expansion of 0 in R 0.973 * [taylor]: Taking taylor expansion of 0 in lambda2 0.973 * [taylor]: Taking taylor expansion of 0 in R 0.973 * [taylor]: Taking taylor expansion of 0 in lambda2 0.973 * [taylor]: Taking taylor expansion of 0 in R 0.974 * [taylor]: Taking taylor expansion of 0 in lambda2 0.974 * [taylor]: Taking taylor expansion of 0 in R 0.974 * [taylor]: Taking taylor expansion of 0 in R 0.974 * [taylor]: Taking taylor expansion of 0 in R 0.974 * [taylor]: Taking taylor expansion of 0 in R 0.974 * [taylor]: Taking taylor expansion of 0 in R 0.977 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 0.977 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R 0.977 * [taylor]: Taking taylor expansion of -1 in R 0.977 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R 0.977 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R 0.978 * [taylor]: Taking taylor expansion of R in R 0.982 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2 0.982 * [taylor]: Taking taylor expansion of -1 in lambda2 0.982 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2 0.982 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 0.983 * [taylor]: Taking taylor expansion of R in lambda2 0.983 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda1 0.983 * [taylor]: Taking taylor expansion of -1 in lambda1 0.983 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1 0.983 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 0.984 * [taylor]: Taking taylor expansion of R in lambda1 0.984 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2 0.984 * [taylor]: Taking taylor expansion of -1 in phi2 0.984 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2 0.984 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 0.985 * [taylor]: Taking taylor expansion of R in phi2 0.985 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi1 0.985 * [taylor]: Taking taylor expansion of -1 in phi1 0.985 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1 0.985 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 0.986 * [taylor]: Taking taylor expansion of R in phi1 0.986 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi1 0.986 * [taylor]: Taking taylor expansion of -1 in phi1 0.986 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1 0.986 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 0.987 * [taylor]: Taking taylor expansion of R in phi1 0.988 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2 0.988 * [taylor]: Taking taylor expansion of -1 in phi2 0.988 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2 0.988 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 0.988 * [taylor]: Taking taylor expansion of R in phi2 0.989 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda1 0.989 * [taylor]: Taking taylor expansion of -1 in lambda1 0.990 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1 0.990 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 0.990 * [taylor]: Taking taylor expansion of R in lambda1 0.991 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2 0.991 * [taylor]: Taking taylor expansion of -1 in lambda2 0.991 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2 0.991 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 0.991 * [taylor]: Taking taylor expansion of R in lambda2 0.992 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R 0.992 * [taylor]: Taking taylor expansion of -1 in R 0.993 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R 0.993 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R 0.993 * [taylor]: Taking taylor expansion of R in R 0.996 * [taylor]: Taking taylor expansion of 0 in phi2 0.996 * [taylor]: Taking taylor expansion of 0 in lambda1 0.996 * [taylor]: Taking taylor expansion of 0 in lambda2 0.996 * [taylor]: Taking taylor expansion of 0 in R 0.998 * [taylor]: Taking taylor expansion of 0 in lambda1 0.998 * [taylor]: Taking taylor expansion of 0 in lambda2 0.998 * [taylor]: Taking taylor expansion of 0 in R 0.999 * [taylor]: Taking taylor expansion of 0 in lambda2 0.999 * [taylor]: Taking taylor expansion of 0 in R 1.001 * [taylor]: Taking taylor expansion of 0 in R 1.004 * [taylor]: Taking taylor expansion of 0 in phi2 1.004 * [taylor]: Taking taylor expansion of 0 in lambda1 1.004 * [taylor]: Taking taylor expansion of 0 in lambda2 1.004 * [taylor]: Taking taylor expansion of 0 in R 1.004 * [taylor]: Taking taylor expansion of 0 in lambda1 1.004 * [taylor]: Taking taylor expansion of 0 in lambda2 1.004 * [taylor]: Taking taylor expansion of 0 in R 1.006 * [taylor]: Taking taylor expansion of 0 in lambda1 1.006 * [taylor]: Taking taylor expansion of 0 in lambda2 1.006 * [taylor]: Taking taylor expansion of 0 in R 1.006 * [taylor]: Taking taylor expansion of 0 in lambda2 1.006 * [taylor]: Taking taylor expansion of 0 in R 1.006 * [taylor]: Taking taylor expansion of 0 in lambda2 1.006 * [taylor]: Taking taylor expansion of 0 in R 1.008 * [taylor]: Taking taylor expansion of 0 in lambda2 1.008 * [taylor]: Taking taylor expansion of 0 in R 1.008 * [taylor]: Taking taylor expansion of 0 in R 1.008 * [taylor]: Taking taylor expansion of 0 in R 1.008 * [taylor]: Taking taylor expansion of 0 in R 1.010 * [taylor]: Taking taylor expansion of 0 in R 1.013 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 1.013 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 1.013 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 1.013 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 1.013 * [taylor]: Taking taylor expansion of phi1 in phi2 1.013 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.013 * [taylor]: Taking taylor expansion of phi2 in phi2 1.013 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 1.013 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 1.013 * [taylor]: Taking taylor expansion of phi1 in phi1 1.013 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 1.013 * [taylor]: Taking taylor expansion of phi2 in phi1 1.013 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 1.013 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 1.013 * [taylor]: Taking taylor expansion of phi1 in phi1 1.014 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 1.014 * [taylor]: Taking taylor expansion of phi2 in phi1 1.014 * [taylor]: Taking taylor expansion of 0 in phi2 1.016 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.016 * [taylor]: Taking taylor expansion of phi2 in phi2 1.019 * [taylor]: Taking taylor expansion of 0 in phi2 1.023 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 1.023 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 1.023 * [taylor]: Taking taylor expansion of 1/6 in phi2 1.023 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.023 * [taylor]: Taking taylor expansion of phi2 in phi2 1.029 * [taylor]: Taking taylor expansion of 0 in phi2 1.029 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 1.029 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 1.029 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 1.029 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.029 * [taylor]: Taking taylor expansion of phi1 in phi2 1.029 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 1.029 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.029 * [taylor]: Taking taylor expansion of phi2 in phi2 1.030 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 1.030 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 1.030 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.030 * [taylor]: Taking taylor expansion of phi1 in phi1 1.030 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 1.030 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.030 * [taylor]: Taking taylor expansion of phi2 in phi1 1.030 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 1.030 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 1.030 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.030 * [taylor]: Taking taylor expansion of phi1 in phi1 1.030 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 1.030 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.030 * [taylor]: Taking taylor expansion of phi2 in phi1 1.031 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 1.031 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 1.031 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.031 * [taylor]: Taking taylor expansion of phi1 in phi2 1.031 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 1.031 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.031 * [taylor]: Taking taylor expansion of phi2 in phi2 1.033 * [taylor]: Taking taylor expansion of 0 in phi2 1.037 * [taylor]: Taking taylor expansion of 0 in phi2 1.043 * [taylor]: Taking taylor expansion of 0 in phi2 1.043 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 1.043 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.043 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 1.043 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.043 * [taylor]: Taking taylor expansion of -1 in phi2 1.043 * [taylor]: Taking taylor expansion of phi1 in phi2 1.043 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 1.043 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.043 * [taylor]: Taking taylor expansion of -1 in phi2 1.043 * [taylor]: Taking taylor expansion of phi2 in phi2 1.044 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 1.044 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 1.044 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.044 * [taylor]: Taking taylor expansion of -1 in phi1 1.044 * [taylor]: Taking taylor expansion of phi1 in phi1 1.044 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 1.044 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.044 * [taylor]: Taking taylor expansion of -1 in phi1 1.044 * [taylor]: Taking taylor expansion of phi2 in phi1 1.044 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 1.044 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 1.044 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.044 * [taylor]: Taking taylor expansion of -1 in phi1 1.044 * [taylor]: Taking taylor expansion of phi1 in phi1 1.044 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 1.044 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.044 * [taylor]: Taking taylor expansion of -1 in phi1 1.044 * [taylor]: Taking taylor expansion of phi2 in phi1 1.045 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.045 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 1.045 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.045 * [taylor]: Taking taylor expansion of -1 in phi2 1.045 * [taylor]: Taking taylor expansion of phi1 in phi2 1.045 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 1.045 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.045 * [taylor]: Taking taylor expansion of -1 in phi2 1.045 * [taylor]: Taking taylor expansion of phi2 in phi2 1.047 * [taylor]: Taking taylor expansion of 0 in phi2 1.051 * [taylor]: Taking taylor expansion of 0 in phi2 1.056 * [taylor]: Taking taylor expansion of 0 in phi2 1.057 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 2 2) 1.057 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0 1.057 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 1.057 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 1.057 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.057 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.057 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.057 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 1.057 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.057 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.057 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 1.057 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.057 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 1.057 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.057 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.057 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 1.057 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.057 * [taylor]: Taking taylor expansion of 0 in lambda2 1.059 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.059 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.062 * [taylor]: Taking taylor expansion of 0 in lambda2 1.070 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin lambda2))) in lambda2 1.070 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2 1.070 * [taylor]: Taking taylor expansion of 1/6 in lambda2 1.070 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.070 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.076 * [taylor]: Taking taylor expansion of 0 in lambda2 1.076 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in (lambda1 lambda2) around 0 1.076 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.076 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.076 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.076 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.076 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.076 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.076 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.077 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.077 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.077 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.077 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.077 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.077 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.077 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.077 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.077 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.077 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.077 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.077 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.077 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.078 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.078 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.078 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.078 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.078 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.078 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.078 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.078 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.080 * [taylor]: Taking taylor expansion of 0 in lambda2 1.084 * [taylor]: Taking taylor expansion of 0 in lambda2 1.090 * [taylor]: Taking taylor expansion of 0 in lambda2 1.090 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0 1.090 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 1.090 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.090 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.090 * [taylor]: Taking taylor expansion of -1 in lambda2 1.090 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.090 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 1.090 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.090 * [taylor]: Taking taylor expansion of -1 in lambda2 1.090 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.090 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 1.090 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.090 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.090 * [taylor]: Taking taylor expansion of -1 in lambda1 1.090 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.091 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 1.091 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.091 * [taylor]: Taking taylor expansion of -1 in lambda1 1.091 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.091 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 1.091 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.091 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.091 * [taylor]: Taking taylor expansion of -1 in lambda1 1.091 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.091 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 1.091 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.091 * [taylor]: Taking taylor expansion of -1 in lambda1 1.091 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.092 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 1.092 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.092 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.092 * [taylor]: Taking taylor expansion of -1 in lambda2 1.092 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.092 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 1.092 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.092 * [taylor]: Taking taylor expansion of -1 in lambda2 1.092 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.094 * [taylor]: Taking taylor expansion of 0 in lambda2 1.098 * [taylor]: Taking taylor expansion of 0 in lambda2 1.103 * [taylor]: Taking taylor expansion of 0 in lambda2 1.103 * * * [progress]: simplifying candidates 1.104 * [simplify]: Simplifying using # : (expm1 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log1p (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (expm1 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (log1p (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (* R R) R)) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 1) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (expm1 (* (sin phi1) (sin phi2))) (log1p (* (sin phi1) (sin phi2))) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (+ (log (sin phi1)) (log (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (* (sin phi1) 1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (expm1 (* (sin lambda1) (sin lambda2))) (log1p (* (sin lambda1) (sin lambda2))) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (* (sin lambda1) (sin lambda2)) (+ (log (sin lambda1)) (log (sin lambda2))) (log (* (sin lambda1) (sin lambda2))) (exp (* (sin lambda1) (sin lambda2))) (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin lambda2) (sin lambda2)) (sin lambda2))) (* (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (sin lambda1) (sin lambda2)))) (cbrt (* (sin lambda1) (sin lambda2))) (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (* (sin lambda1) (sqrt (sin lambda2))) (* (sin lambda1) 1) (* (cbrt (sin lambda1)) (sin lambda2)) (* (sqrt (sin lambda1)) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (* lambda2 lambda1) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) 1.110 * * [simplify]: iteration 0 : 274 enodes (cost 1015 ) 1.116 * * [simplify]: iteration 1 : 872 enodes (cost 860 ) 1.130 * * [simplify]: iteration 2 : 2115 enodes (cost 860 ) 1.152 * * [simplify]: iteration 3 : 3356 enodes (cost 860 ) 1.182 * * [simplify]: iteration 4 : 5001 enodes (cost 860 ) 1.186 * [simplify]: Simplified to: (expm1 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log1p (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (expm1 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (log1p (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 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)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) 3) (* (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)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) 3) (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)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (expm1 (* (sin phi1) (sin phi2))) (log1p (* (sin phi1) (sin phi2))) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (log (* (sin phi1) (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (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) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (expm1 (* (sin lambda1) (sin lambda2))) (log1p (* (sin lambda1) (sin lambda2))) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (* (sin lambda1) (sin lambda2)) (log (* (sin lambda1) (sin lambda2))) (log (* (sin lambda1) (sin lambda2))) (exp (* (sin lambda1) (sin lambda2))) (pow (* (sin lambda1) (sin lambda2)) 3) (* (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (sin lambda1) (sin lambda2)))) (cbrt (* (sin lambda1) (sin lambda2))) (pow (* (sin lambda1) (sin lambda2)) 3) (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) (* (cbrt (sin lambda1)) (sin lambda2)) (* (sqrt (sin lambda1)) (sin 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)))))) (* (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) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (* lambda2 lambda1) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) 1.186 * * * [progress]: adding candidates to table 1.550 * * [progress]: iteration 3 / 4 1.550 * * * [progress]: picking best candidate 1.642 * * * * [pick]: Picked # 1.642 * * * [progress]: localizing error 1.680 * * * [progress]: generating rewritten candidates 1.680 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.681 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 2 2 2) 1.683 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 2 2 1 2 2) 1.684 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 2 2 1 2 1) 1.687 * * * [progress]: generating series expansions 1.687 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.687 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.687 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 1.688 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 1.688 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 1.689 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 1.689 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 1.689 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 1.690 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 1.690 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 1.691 * [taylor]: Taking taylor expansion of 0 in phi2 1.691 * [taylor]: Taking taylor expansion of 0 in lambda1 1.691 * [taylor]: Taking taylor expansion of 0 in lambda2 1.691 * [taylor]: Taking taylor expansion of 0 in lambda1 1.691 * [taylor]: Taking taylor expansion of 0 in lambda2 1.691 * [taylor]: Taking taylor expansion of 0 in lambda2 1.691 * [taylor]: Taking taylor expansion of 0 in phi2 1.691 * [taylor]: Taking taylor expansion of 0 in lambda1 1.691 * [taylor]: Taking taylor expansion of 0 in lambda2 1.691 * [taylor]: Taking taylor expansion of 0 in lambda1 1.691 * [taylor]: Taking taylor expansion of 0 in lambda2 1.692 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.692 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 1.693 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 1.693 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 1.694 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 1.694 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 1.695 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 1.695 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 1.696 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 1.697 * [taylor]: Taking taylor expansion of 0 in phi2 1.697 * [taylor]: Taking taylor expansion of 0 in lambda1 1.697 * [taylor]: Taking taylor expansion of 0 in lambda2 1.697 * [taylor]: Taking taylor expansion of 0 in lambda1 1.697 * [taylor]: Taking taylor expansion of 0 in lambda2 1.697 * [taylor]: Taking taylor expansion of 0 in lambda2 1.697 * [taylor]: Taking taylor expansion of 0 in phi2 1.697 * [taylor]: Taking taylor expansion of 0 in lambda1 1.697 * [taylor]: Taking taylor expansion of 0 in lambda2 1.697 * [taylor]: Taking taylor expansion of 0 in lambda1 1.697 * [taylor]: Taking taylor expansion of 0 in lambda2 1.701 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0 1.701 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 1.702 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 1.702 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 1.703 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 1.703 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 1.704 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 1.704 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 1.705 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 1.706 * [taylor]: Taking taylor expansion of 0 in phi2 1.706 * [taylor]: Taking taylor expansion of 0 in lambda1 1.706 * [taylor]: Taking taylor expansion of 0 in lambda2 1.706 * [taylor]: Taking taylor expansion of 0 in lambda1 1.706 * [taylor]: Taking taylor expansion of 0 in lambda2 1.706 * [taylor]: Taking taylor expansion of 0 in lambda2 1.706 * [taylor]: Taking taylor expansion of 0 in phi2 1.706 * [taylor]: Taking taylor expansion of 0 in lambda1 1.706 * [taylor]: Taking taylor expansion of 0 in lambda2 1.706 * [taylor]: Taking taylor expansion of 0 in lambda1 1.706 * [taylor]: Taking taylor expansion of 0 in lambda2 1.707 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 2 2 2) 1.707 * [approximate]: Taking taylor expansion of (pow (sin lambda2) 1/3) in (lambda2) around 0 1.707 * [taylor]: Taking taylor expansion of (pow (sin lambda2) 1/3) in lambda2 1.707 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin lambda2)))) in lambda2 1.707 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin lambda2))) in lambda2 1.707 * [taylor]: Taking taylor expansion of 1/3 in lambda2 1.707 * [taylor]: Taking taylor expansion of (log (sin lambda2)) in lambda2 1.707 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.707 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.709 * [taylor]: Taking taylor expansion of (pow (sin lambda2) 1/3) in lambda2 1.709 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin lambda2)))) in lambda2 1.709 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin lambda2))) in lambda2 1.709 * [taylor]: Taking taylor expansion of 1/3 in lambda2 1.709 * [taylor]: Taking taylor expansion of (log (sin lambda2)) in lambda2 1.709 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.709 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.735 * [approximate]: Taking taylor expansion of (pow (sin (/ 1 lambda2)) 1/3) in (lambda2) around 0 1.735 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 lambda2)) 1/3) in lambda2 1.735 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ 1 lambda2))))) in lambda2 1.735 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ 1 lambda2)))) in lambda2 1.735 * [taylor]: Taking taylor expansion of 1/3 in lambda2 1.735 * [taylor]: Taking taylor expansion of (log (sin (/ 1 lambda2))) in lambda2 1.735 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.735 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.735 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.735 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 lambda2)) 1/3) in lambda2 1.735 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ 1 lambda2))))) in lambda2 1.735 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ 1 lambda2)))) in lambda2 1.735 * [taylor]: Taking taylor expansion of 1/3 in lambda2 1.735 * [taylor]: Taking taylor expansion of (log (sin (/ 1 lambda2))) in lambda2 1.735 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.735 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.735 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.769 * [approximate]: Taking taylor expansion of (pow (sin (/ -1 lambda2)) 1/3) in (lambda2) around 0 1.769 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 lambda2)) 1/3) in lambda2 1.769 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ -1 lambda2))))) in lambda2 1.769 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ -1 lambda2)))) in lambda2 1.769 * [taylor]: Taking taylor expansion of 1/3 in lambda2 1.769 * [taylor]: Taking taylor expansion of (log (sin (/ -1 lambda2))) in lambda2 1.769 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 1.769 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.769 * [taylor]: Taking taylor expansion of -1 in lambda2 1.769 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.770 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 lambda2)) 1/3) in lambda2 1.770 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ -1 lambda2))))) in lambda2 1.770 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ -1 lambda2)))) in lambda2 1.770 * [taylor]: Taking taylor expansion of 1/3 in lambda2 1.770 * [taylor]: Taking taylor expansion of (log (sin (/ -1 lambda2))) in lambda2 1.770 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 1.770 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.770 * [taylor]: Taking taylor expansion of -1 in lambda2 1.770 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.809 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 2 2 1 2 2) 1.810 * [approximate]: Taking taylor expansion of (pow (sin lambda2) 1/3) in (lambda2) around 0 1.810 * [taylor]: Taking taylor expansion of (pow (sin lambda2) 1/3) in lambda2 1.810 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin lambda2)))) in lambda2 1.810 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin lambda2))) in lambda2 1.810 * [taylor]: Taking taylor expansion of 1/3 in lambda2 1.810 * [taylor]: Taking taylor expansion of (log (sin lambda2)) in lambda2 1.810 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.810 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.811 * [taylor]: Taking taylor expansion of (pow (sin lambda2) 1/3) in lambda2 1.811 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin lambda2)))) in lambda2 1.811 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin lambda2))) in lambda2 1.811 * [taylor]: Taking taylor expansion of 1/3 in lambda2 1.811 * [taylor]: Taking taylor expansion of (log (sin lambda2)) in lambda2 1.811 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.811 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.836 * [approximate]: Taking taylor expansion of (pow (sin (/ 1 lambda2)) 1/3) in (lambda2) around 0 1.836 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 lambda2)) 1/3) in lambda2 1.836 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ 1 lambda2))))) in lambda2 1.836 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ 1 lambda2)))) in lambda2 1.836 * [taylor]: Taking taylor expansion of 1/3 in lambda2 1.836 * [taylor]: Taking taylor expansion of (log (sin (/ 1 lambda2))) in lambda2 1.836 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.836 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.836 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.836 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 lambda2)) 1/3) in lambda2 1.836 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ 1 lambda2))))) in lambda2 1.836 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ 1 lambda2)))) in lambda2 1.836 * [taylor]: Taking taylor expansion of 1/3 in lambda2 1.837 * [taylor]: Taking taylor expansion of (log (sin (/ 1 lambda2))) in lambda2 1.837 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.837 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.837 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.875 * [approximate]: Taking taylor expansion of (pow (sin (/ -1 lambda2)) 1/3) in (lambda2) around 0 1.875 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 lambda2)) 1/3) in lambda2 1.875 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ -1 lambda2))))) in lambda2 1.875 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ -1 lambda2)))) in lambda2 1.875 * [taylor]: Taking taylor expansion of 1/3 in lambda2 1.875 * [taylor]: Taking taylor expansion of (log (sin (/ -1 lambda2))) in lambda2 1.875 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 1.875 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.875 * [taylor]: Taking taylor expansion of -1 in lambda2 1.875 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.876 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 lambda2)) 1/3) in lambda2 1.876 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ -1 lambda2))))) in lambda2 1.876 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ -1 lambda2)))) in lambda2 1.876 * [taylor]: Taking taylor expansion of 1/3 in lambda2 1.876 * [taylor]: Taking taylor expansion of (log (sin (/ -1 lambda2))) in lambda2 1.876 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 1.876 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.876 * [taylor]: Taking taylor expansion of -1 in lambda2 1.876 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.908 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 2 2 1 2 1) 1.909 * [approximate]: Taking taylor expansion of (pow (sin lambda2) 1/3) in (lambda2) around 0 1.909 * [taylor]: Taking taylor expansion of (pow (sin lambda2) 1/3) in lambda2 1.909 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin lambda2)))) in lambda2 1.909 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin lambda2))) in lambda2 1.909 * [taylor]: Taking taylor expansion of 1/3 in lambda2 1.909 * [taylor]: Taking taylor expansion of (log (sin lambda2)) in lambda2 1.909 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.909 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.910 * [taylor]: Taking taylor expansion of (pow (sin lambda2) 1/3) in lambda2 1.910 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin lambda2)))) in lambda2 1.910 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin lambda2))) in lambda2 1.910 * [taylor]: Taking taylor expansion of 1/3 in lambda2 1.910 * [taylor]: Taking taylor expansion of (log (sin lambda2)) in lambda2 1.910 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.910 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.934 * [approximate]: Taking taylor expansion of (pow (sin (/ 1 lambda2)) 1/3) in (lambda2) around 0 1.934 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 lambda2)) 1/3) in lambda2 1.934 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ 1 lambda2))))) in lambda2 1.934 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ 1 lambda2)))) in lambda2 1.934 * [taylor]: Taking taylor expansion of 1/3 in lambda2 1.934 * [taylor]: Taking taylor expansion of (log (sin (/ 1 lambda2))) in lambda2 1.934 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.934 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.934 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.935 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 lambda2)) 1/3) in lambda2 1.935 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ 1 lambda2))))) in lambda2 1.935 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ 1 lambda2)))) in lambda2 1.935 * [taylor]: Taking taylor expansion of 1/3 in lambda2 1.935 * [taylor]: Taking taylor expansion of (log (sin (/ 1 lambda2))) in lambda2 1.935 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.935 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.935 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.973 * [approximate]: Taking taylor expansion of (pow (sin (/ -1 lambda2)) 1/3) in (lambda2) around 0 1.973 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 lambda2)) 1/3) in lambda2 1.973 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ -1 lambda2))))) in lambda2 1.973 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ -1 lambda2)))) in lambda2 1.973 * [taylor]: Taking taylor expansion of 1/3 in lambda2 1.973 * [taylor]: Taking taylor expansion of (log (sin (/ -1 lambda2))) in lambda2 1.973 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 1.973 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.973 * [taylor]: Taking taylor expansion of -1 in lambda2 1.973 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.974 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 lambda2)) 1/3) in lambda2 1.974 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ -1 lambda2))))) in lambda2 1.974 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ -1 lambda2)))) in lambda2 1.974 * [taylor]: Taking taylor expansion of 1/3 in lambda2 1.974 * [taylor]: Taking taylor expansion of (log (sin (/ -1 lambda2))) in lambda2 1.974 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 1.974 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.974 * [taylor]: Taking taylor expansion of -1 in lambda2 1.974 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.007 * * * [progress]: simplifying candidates 2.008 * [simplify]: Simplifying using # : (expm1 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2)))))))) (log1p (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2)))))))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2))))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2)))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2)))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2)))))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2)))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2)))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2)))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2)))))))) (expm1 (cbrt (sin lambda2))) (log1p (cbrt (sin lambda2))) (log (cbrt (sin lambda2))) (exp (cbrt (sin lambda2))) (cbrt (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (cbrt (sin lambda2))) (cbrt (sqrt (sin lambda2))) (cbrt (sqrt (sin lambda2))) (cbrt 1) (cbrt (sin lambda2)) (* (cbrt (cbrt (sin lambda2))) (cbrt (cbrt (sin lambda2)))) (cbrt (cbrt (sin lambda2))) (* (* (cbrt (sin lambda2)) (cbrt (sin lambda2))) (cbrt (sin lambda2))) (sqrt (cbrt (sin lambda2))) (sqrt (cbrt (sin lambda2))) (expm1 (cbrt (sin lambda2))) (log1p (cbrt (sin lambda2))) (log (cbrt (sin lambda2))) (exp (cbrt (sin lambda2))) (cbrt (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (cbrt (sin lambda2))) (cbrt (sqrt (sin lambda2))) (cbrt (sqrt (sin lambda2))) (cbrt 1) (cbrt (sin lambda2)) (* (cbrt (cbrt (sin lambda2))) (cbrt (cbrt (sin lambda2)))) (cbrt (cbrt (sin lambda2))) (* (* (cbrt (sin lambda2)) (cbrt (sin lambda2))) (cbrt (sin lambda2))) (sqrt (cbrt (sin lambda2))) (sqrt (cbrt (sin lambda2))) (expm1 (cbrt (sin lambda2))) (log1p (cbrt (sin lambda2))) (log (cbrt (sin lambda2))) (exp (cbrt (sin lambda2))) (cbrt (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (cbrt (sin lambda2))) (cbrt (sqrt (sin lambda2))) (cbrt (sqrt (sin lambda2))) (cbrt 1) (cbrt (sin lambda2)) (* (cbrt (cbrt (sin lambda2))) (cbrt (cbrt (sin lambda2)))) (cbrt (cbrt (sin lambda2))) (* (* (cbrt (sin lambda2)) (cbrt (sin lambda2))) (cbrt (sin lambda2))) (sqrt (cbrt (sin lambda2))) (sqrt (cbrt (sin lambda2))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (- (pow lambda2 1/3) (+ (* 1/18 (pow (pow lambda2 7) 1/3)) (* 1/3240 (pow (pow lambda2 13) 1/3)))) (pow (sin lambda2) 1/3) (pow (sin lambda2) 1/3) (- (pow lambda2 1/3) (+ (* 1/18 (pow (pow lambda2 7) 1/3)) (* 1/3240 (pow (pow lambda2 13) 1/3)))) (pow (sin lambda2) 1/3) (pow (sin lambda2) 1/3) (- (pow lambda2 1/3) (+ (* 1/18 (pow (pow lambda2 7) 1/3)) (* 1/3240 (pow (pow lambda2 13) 1/3)))) (pow (sin lambda2) 1/3) (pow (sin lambda2) 1/3) 2.012 * * [simplify]: iteration 0 : 149 enodes (cost 573 ) 2.015 * * [simplify]: iteration 1 : 362 enodes (cost 511 ) 2.023 * * [simplify]: iteration 2 : 1063 enodes (cost 505 ) 2.042 * * [simplify]: iteration 3 : 3458 enodes (cost 502 ) 2.119 * * [simplify]: iteration 4 : 5001 enodes (cost 502 ) 2.121 * [simplify]: Simplified to: (expm1 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2)))))))) (log1p (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2)))))))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2))))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2)))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2)))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2)))))))) (pow (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 3) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2)))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2)))))))) (expm1 (cbrt (sin lambda2))) (log1p (cbrt (sin lambda2))) (log (cbrt (sin lambda2))) (exp (cbrt (sin lambda2))) (cbrt (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (cbrt (sin lambda2))) (cbrt (sqrt (sin lambda2))) (cbrt (sqrt (sin lambda2))) (cbrt 1) (pow (sin lambda2) 1/3) (* (cbrt (cbrt (sin lambda2))) (cbrt (cbrt (sin lambda2)))) (cbrt (cbrt (sin lambda2))) (sin lambda2) (sqrt (cbrt (sin lambda2))) (sqrt (cbrt (sin lambda2))) (expm1 (cbrt (sin lambda2))) (log1p (cbrt (sin lambda2))) (log (cbrt (sin lambda2))) (exp (cbrt (sin lambda2))) (cbrt (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (cbrt (sin lambda2))) (cbrt (sqrt (sin lambda2))) (cbrt (sqrt (sin lambda2))) (cbrt 1) (pow (sin lambda2) 1/3) (* (cbrt (cbrt (sin lambda2))) (cbrt (cbrt (sin lambda2)))) (cbrt (cbrt (sin lambda2))) (sin lambda2) (sqrt (cbrt (sin lambda2))) (sqrt (cbrt (sin lambda2))) (expm1 (cbrt (sin lambda2))) (log1p (cbrt (sin lambda2))) (log (cbrt (sin lambda2))) (exp (cbrt (sin lambda2))) (cbrt (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (cbrt (sin lambda2))) (cbrt (sqrt (sin lambda2))) (cbrt (sqrt (sin lambda2))) (cbrt 1) (pow (sin lambda2) 1/3) (* (cbrt (cbrt (sin lambda2))) (cbrt (cbrt (sin lambda2)))) (cbrt (cbrt (sin lambda2))) (sin lambda2) (sqrt (cbrt (sin lambda2))) (sqrt (cbrt (sin lambda2))) (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (- (pow lambda2 1/3) (+ (* 1/18 (pow (pow lambda2 7) 1/3)) (* 1/3240 (pow (pow lambda2 13) 1/3)))) (pow (sin lambda2) 1/3) (pow (sin lambda2) 1/3) (- (pow lambda2 1/3) (+ (* 1/18 (pow (pow lambda2 7) 1/3)) (* 1/3240 (pow (pow lambda2 13) 1/3)))) (pow (sin lambda2) 1/3) (pow (sin lambda2) 1/3) (- (pow lambda2 1/3) (+ (* 1/18 (pow (pow lambda2 7) 1/3)) (* 1/3240 (pow (pow lambda2 13) 1/3)))) (pow (sin lambda2) 1/3) (pow (sin lambda2) 1/3) 2.122 * * * [progress]: adding candidates to table 2.462 * * [progress]: iteration 4 / 4 2.463 * * * [progress]: picking best candidate 2.551 * * * * [pick]: Picked # 2.551 * * * [progress]: localizing error 2.592 * * * [progress]: generating rewritten candidates 2.593 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 2.596 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 2.597 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 2.602 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 1) 2.609 * * * [progress]: generating series expansions 2.609 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 2.609 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 2.609 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 2.609 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 2.609 * [taylor]: Taking taylor expansion of phi1 in phi2 2.609 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 2.609 * [taylor]: Taking taylor expansion of phi2 in phi2 2.609 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 2.609 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 2.609 * [taylor]: Taking taylor expansion of phi1 in phi1 2.609 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 2.609 * [taylor]: Taking taylor expansion of phi2 in phi1 2.610 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 2.610 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 2.610 * [taylor]: Taking taylor expansion of phi1 in phi1 2.610 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 2.610 * [taylor]: Taking taylor expansion of phi2 in phi1 2.610 * [taylor]: Taking taylor expansion of 0 in phi2 2.612 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 2.612 * [taylor]: Taking taylor expansion of phi2 in phi2 2.615 * [taylor]: Taking taylor expansion of 0 in phi2 2.620 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 2.620 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 2.620 * [taylor]: Taking taylor expansion of 1/6 in phi2 2.620 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 2.620 * [taylor]: Taking taylor expansion of phi2 in phi2 2.626 * [taylor]: Taking taylor expansion of 0 in phi2 2.627 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 2.627 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 2.627 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 2.627 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 2.627 * [taylor]: Taking taylor expansion of phi1 in phi2 2.627 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 2.627 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 2.627 * [taylor]: Taking taylor expansion of phi2 in phi2 2.627 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 2.627 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 2.627 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 2.627 * [taylor]: Taking taylor expansion of phi1 in phi1 2.628 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 2.628 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 2.628 * [taylor]: Taking taylor expansion of phi2 in phi1 2.628 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 2.628 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 2.628 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 2.628 * [taylor]: Taking taylor expansion of phi1 in phi1 2.628 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 2.628 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 2.628 * [taylor]: Taking taylor expansion of phi2 in phi1 2.628 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 2.628 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 2.628 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 2.628 * [taylor]: Taking taylor expansion of phi1 in phi2 2.629 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 2.629 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 2.629 * [taylor]: Taking taylor expansion of phi2 in phi2 2.631 * [taylor]: Taking taylor expansion of 0 in phi2 2.635 * [taylor]: Taking taylor expansion of 0 in phi2 2.640 * [taylor]: Taking taylor expansion of 0 in phi2 2.641 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 2.641 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 2.641 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 2.641 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 2.641 * [taylor]: Taking taylor expansion of -1 in phi2 2.641 * [taylor]: Taking taylor expansion of phi1 in phi2 2.641 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 2.641 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 2.641 * [taylor]: Taking taylor expansion of -1 in phi2 2.641 * [taylor]: Taking taylor expansion of phi2 in phi2 2.641 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 2.641 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 2.641 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 2.641 * [taylor]: Taking taylor expansion of -1 in phi1 2.641 * [taylor]: Taking taylor expansion of phi1 in phi1 2.642 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 2.642 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 2.642 * [taylor]: Taking taylor expansion of -1 in phi1 2.642 * [taylor]: Taking taylor expansion of phi2 in phi1 2.642 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 2.642 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 2.642 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 2.642 * [taylor]: Taking taylor expansion of -1 in phi1 2.642 * [taylor]: Taking taylor expansion of phi1 in phi1 2.642 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 2.642 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 2.642 * [taylor]: Taking taylor expansion of -1 in phi1 2.642 * [taylor]: Taking taylor expansion of phi2 in phi1 2.643 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 2.643 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 2.643 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 2.643 * [taylor]: Taking taylor expansion of -1 in phi2 2.643 * [taylor]: Taking taylor expansion of phi1 in phi2 2.643 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 2.643 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 2.643 * [taylor]: Taking taylor expansion of -1 in phi2 2.643 * [taylor]: Taking taylor expansion of phi2 in phi2 2.645 * [taylor]: Taking taylor expansion of 0 in phi2 2.649 * [taylor]: Taking taylor expansion of 0 in phi2 2.655 * [taylor]: Taking taylor expansion of 0 in phi2 2.655 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 2.656 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.656 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 2.656 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 2.656 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 2.657 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 2.657 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 2.657 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 2.658 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 2.658 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 2.665 * [taylor]: Taking taylor expansion of 0 in phi2 2.665 * [taylor]: Taking taylor expansion of 0 in lambda1 2.665 * [taylor]: Taking taylor expansion of 0 in lambda2 2.665 * [taylor]: Taking taylor expansion of 0 in lambda1 2.665 * [taylor]: Taking taylor expansion of 0 in lambda2 2.665 * [taylor]: Taking taylor expansion of 0 in lambda2 2.665 * [taylor]: Taking taylor expansion of 0 in phi2 2.665 * [taylor]: Taking taylor expansion of 0 in lambda1 2.665 * [taylor]: Taking taylor expansion of 0 in lambda2 2.665 * [taylor]: Taking taylor expansion of 0 in lambda1 2.665 * [taylor]: Taking taylor expansion of 0 in lambda2 2.666 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.666 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 2.667 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 2.667 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 2.668 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 2.668 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 2.669 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 2.669 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 2.670 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 2.671 * [taylor]: Taking taylor expansion of 0 in phi2 2.671 * [taylor]: Taking taylor expansion of 0 in lambda1 2.671 * [taylor]: Taking taylor expansion of 0 in lambda2 2.671 * [taylor]: Taking taylor expansion of 0 in lambda1 2.671 * [taylor]: Taking taylor expansion of 0 in lambda2 2.671 * [taylor]: Taking taylor expansion of 0 in lambda2 2.671 * [taylor]: Taking taylor expansion of 0 in phi2 2.671 * [taylor]: Taking taylor expansion of 0 in lambda1 2.671 * [taylor]: Taking taylor expansion of 0 in lambda2 2.671 * [taylor]: Taking taylor expansion of 0 in lambda1 2.671 * [taylor]: Taking taylor expansion of 0 in lambda2 2.672 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0 2.672 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 2.673 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 2.673 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 2.674 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 2.674 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 2.675 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 2.675 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 2.676 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 2.677 * [taylor]: Taking taylor expansion of 0 in phi2 2.677 * [taylor]: Taking taylor expansion of 0 in lambda1 2.677 * [taylor]: Taking taylor expansion of 0 in lambda2 2.677 * [taylor]: Taking taylor expansion of 0 in lambda1 2.677 * [taylor]: Taking taylor expansion of 0 in lambda2 2.677 * [taylor]: Taking taylor expansion of 0 in lambda2 2.677 * [taylor]: Taking taylor expansion of 0 in phi2 2.677 * [taylor]: Taking taylor expansion of 0 in lambda1 2.677 * [taylor]: Taking taylor expansion of 0 in lambda2 2.677 * [taylor]: Taking taylor expansion of 0 in lambda1 2.677 * [taylor]: Taking taylor expansion of 0 in lambda2 2.678 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 2.678 * [approximate]: Taking taylor expansion of (pow (* (sin phi1) (sin phi2)) 3) in (phi1 phi2) around 0 2.678 * [taylor]: Taking taylor expansion of (pow (* (sin phi1) (sin phi2)) 3) in phi2 2.678 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 2.678 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 2.678 * [taylor]: Taking taylor expansion of phi1 in phi2 2.678 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 2.678 * [taylor]: Taking taylor expansion of phi2 in phi2 2.681 * [taylor]: Taking taylor expansion of (pow (* (sin phi1) (sin phi2)) 3) in phi1 2.681 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 2.681 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 2.681 * [taylor]: Taking taylor expansion of phi1 in phi1 2.681 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 2.681 * [taylor]: Taking taylor expansion of phi2 in phi1 2.683 * [taylor]: Taking taylor expansion of (pow (* (sin phi1) (sin phi2)) 3) in phi1 2.683 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 2.683 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 2.683 * [taylor]: Taking taylor expansion of phi1 in phi1 2.683 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 2.683 * [taylor]: Taking taylor expansion of phi2 in phi1 2.686 * [taylor]: Taking taylor expansion of (pow (sin phi2) 3) in phi2 2.686 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 2.686 * [taylor]: Taking taylor expansion of phi2 in phi2 2.690 * [taylor]: Taking taylor expansion of 0 in phi2 2.696 * [taylor]: Taking taylor expansion of (- (* 1/2 (pow (sin phi2) 3))) in phi2 2.696 * [taylor]: Taking taylor expansion of (* 1/2 (pow (sin phi2) 3)) in phi2 2.696 * [taylor]: Taking taylor expansion of 1/2 in phi2 2.696 * [taylor]: Taking taylor expansion of (pow (sin phi2) 3) in phi2 2.696 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 2.696 * [taylor]: Taking taylor expansion of phi2 in phi2 2.703 * [approximate]: Taking taylor expansion of (pow (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 3) in (phi1 phi2) around 0 2.703 * [taylor]: Taking taylor expansion of (pow (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 3) in phi2 2.703 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 2.703 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 2.703 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 2.703 * [taylor]: Taking taylor expansion of phi1 in phi2 2.703 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 2.703 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 2.703 * [taylor]: Taking taylor expansion of phi2 in phi2 2.703 * [taylor]: Taking taylor expansion of (pow (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 3) in phi1 2.703 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 2.703 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 2.703 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 2.703 * [taylor]: Taking taylor expansion of phi1 in phi1 2.704 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 2.704 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 2.704 * [taylor]: Taking taylor expansion of phi2 in phi1 2.704 * [taylor]: Taking taylor expansion of (pow (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 3) in phi1 2.704 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 2.704 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 2.704 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 2.704 * [taylor]: Taking taylor expansion of phi1 in phi1 2.704 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 2.704 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 2.704 * [taylor]: Taking taylor expansion of phi2 in phi1 2.705 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 phi1)) 3) (pow (sin (/ 1 phi2)) 3)) in phi2 2.705 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 phi1)) 3) in phi2 2.705 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 2.705 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 2.705 * [taylor]: Taking taylor expansion of phi1 in phi2 2.705 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 phi2)) 3) in phi2 2.705 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 2.705 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 2.705 * [taylor]: Taking taylor expansion of phi2 in phi2 2.708 * [taylor]: Taking taylor expansion of 0 in phi2 2.714 * [taylor]: Taking taylor expansion of 0 in phi2 2.723 * [taylor]: Taking taylor expansion of 0 in phi2 2.723 * [approximate]: Taking taylor expansion of (pow (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 3) in (phi1 phi2) around 0 2.723 * [taylor]: Taking taylor expansion of (pow (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 3) in phi2 2.723 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 2.723 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 2.723 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 2.723 * [taylor]: Taking taylor expansion of -1 in phi2 2.723 * [taylor]: Taking taylor expansion of phi1 in phi2 2.723 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 2.723 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 2.723 * [taylor]: Taking taylor expansion of -1 in phi2 2.723 * [taylor]: Taking taylor expansion of phi2 in phi2 2.724 * [taylor]: Taking taylor expansion of (pow (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 3) in phi1 2.724 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 2.724 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 2.724 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 2.724 * [taylor]: Taking taylor expansion of -1 in phi1 2.724 * [taylor]: Taking taylor expansion of phi1 in phi1 2.724 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 2.724 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 2.724 * [taylor]: Taking taylor expansion of -1 in phi1 2.724 * [taylor]: Taking taylor expansion of phi2 in phi1 2.724 * [taylor]: Taking taylor expansion of (pow (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 3) in phi1 2.724 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 2.724 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 2.724 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 2.724 * [taylor]: Taking taylor expansion of -1 in phi1 2.725 * [taylor]: Taking taylor expansion of phi1 in phi1 2.725 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 2.725 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 2.725 * [taylor]: Taking taylor expansion of -1 in phi1 2.725 * [taylor]: Taking taylor expansion of phi2 in phi1 2.726 * [taylor]: Taking taylor expansion of (* (pow (sin (/ -1 phi1)) 3) (pow (sin (/ -1 phi2)) 3)) in phi2 2.726 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 phi1)) 3) in phi2 2.726 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 2.726 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 2.726 * [taylor]: Taking taylor expansion of -1 in phi2 2.726 * [taylor]: Taking taylor expansion of phi1 in phi2 2.726 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 phi2)) 3) in phi2 2.726 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 2.726 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 2.726 * [taylor]: Taking taylor expansion of -1 in phi2 2.726 * [taylor]: Taking taylor expansion of phi2 in phi2 2.729 * [taylor]: Taking taylor expansion of 0 in phi2 2.734 * [taylor]: Taking taylor expansion of 0 in phi2 2.743 * [taylor]: Taking taylor expansion of 0 in phi2 2.743 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 1) 2.743 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 2.744 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 2.744 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 2.744 * [taylor]: Taking taylor expansion of phi1 in phi2 2.744 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 2.744 * [taylor]: Taking taylor expansion of phi2 in phi2 2.744 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 2.744 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 2.744 * [taylor]: Taking taylor expansion of phi1 in phi1 2.744 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 2.744 * [taylor]: Taking taylor expansion of phi2 in phi1 2.744 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 2.744 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 2.744 * [taylor]: Taking taylor expansion of phi1 in phi1 2.744 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 2.744 * [taylor]: Taking taylor expansion of phi2 in phi1 2.744 * [taylor]: Taking taylor expansion of 0 in phi2 2.746 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 2.746 * [taylor]: Taking taylor expansion of phi2 in phi2 2.749 * [taylor]: Taking taylor expansion of 0 in phi2 2.754 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 2.754 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 2.754 * [taylor]: Taking taylor expansion of 1/6 in phi2 2.754 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 2.754 * [taylor]: Taking taylor expansion of phi2 in phi2 2.766 * [taylor]: Taking taylor expansion of 0 in phi2 2.766 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 2.766 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 2.766 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 2.766 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 2.766 * [taylor]: Taking taylor expansion of phi1 in phi2 2.766 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 2.766 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 2.766 * [taylor]: Taking taylor expansion of phi2 in phi2 2.766 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 2.766 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 2.766 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 2.766 * [taylor]: Taking taylor expansion of phi1 in phi1 2.767 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 2.767 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 2.767 * [taylor]: Taking taylor expansion of phi2 in phi1 2.767 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 2.767 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 2.767 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 2.767 * [taylor]: Taking taylor expansion of phi1 in phi1 2.767 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 2.767 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 2.767 * [taylor]: Taking taylor expansion of phi2 in phi1 2.767 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 2.767 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 2.767 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 2.768 * [taylor]: Taking taylor expansion of phi1 in phi2 2.768 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 2.768 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 2.768 * [taylor]: Taking taylor expansion of phi2 in phi2 2.770 * [taylor]: Taking taylor expansion of 0 in phi2 2.774 * [taylor]: Taking taylor expansion of 0 in phi2 2.779 * [taylor]: Taking taylor expansion of 0 in phi2 2.780 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 2.780 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 2.780 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 2.780 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 2.780 * [taylor]: Taking taylor expansion of -1 in phi2 2.780 * [taylor]: Taking taylor expansion of phi1 in phi2 2.780 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 2.780 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 2.780 * [taylor]: Taking taylor expansion of -1 in phi2 2.780 * [taylor]: Taking taylor expansion of phi2 in phi2 2.780 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 2.780 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 2.780 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 2.780 * [taylor]: Taking taylor expansion of -1 in phi1 2.780 * [taylor]: Taking taylor expansion of phi1 in phi1 2.781 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 2.781 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 2.781 * [taylor]: Taking taylor expansion of -1 in phi1 2.781 * [taylor]: Taking taylor expansion of phi2 in phi1 2.781 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 2.781 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 2.781 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 2.781 * [taylor]: Taking taylor expansion of -1 in phi1 2.781 * [taylor]: Taking taylor expansion of phi1 in phi1 2.781 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 2.781 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 2.781 * [taylor]: Taking taylor expansion of -1 in phi1 2.781 * [taylor]: Taking taylor expansion of phi2 in phi1 2.782 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 2.782 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 2.782 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 2.782 * [taylor]: Taking taylor expansion of -1 in phi2 2.782 * [taylor]: Taking taylor expansion of phi1 in phi2 2.782 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 2.782 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 2.782 * [taylor]: Taking taylor expansion of -1 in phi2 2.782 * [taylor]: Taking taylor expansion of phi2 in phi2 2.784 * [taylor]: Taking taylor expansion of 0 in phi2 2.788 * [taylor]: Taking taylor expansion of 0 in phi2 2.793 * [taylor]: Taking taylor expansion of 0 in phi2 2.794 * * * [progress]: simplifying candidates 2.795 * [simplify]: Simplifying using # : (expm1 (cbrt (pow (* (sin phi1) (sin phi2)) 3))) (log1p (cbrt (pow (* (sin phi1) (sin phi2)) 3))) (log (cbrt (pow (* (sin phi1) (sin phi2)) 3))) (exp (cbrt (pow (* (sin phi1) (sin phi2)) 3))) (cbrt (pow (sin phi1) 3)) (cbrt (pow (sin phi2) 3)) (cbrt (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (cbrt (cbrt (pow (* (sin phi1) (sin phi2)) 3))) (cbrt (pow (sin phi1) 3)) (cbrt (pow (sin phi2) 3)) (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)))) (cbrt (sqrt (pow (* (sin phi1) (sin phi2)) 3))) (cbrt (sqrt (pow (* (sin phi1) (sin phi2)) 3))) (cbrt 1) (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (cbrt (pow (* (sin phi1) (sin phi2)) (/ 3 2))) (cbrt (pow (* (sin phi1) (sin phi2)) (/ 3 2))) (cbrt (pow (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) 3)) (cbrt (pow 2 3)) (* (cbrt (cbrt (pow (* (sin phi1) (sin phi2)) 3))) (cbrt (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (cbrt (cbrt (pow (* (sin phi1) (sin phi2)) 3))) (* (* (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (cbrt (pow (* (sin phi1) (sin phi2)) 3))) (cbrt (pow (* (sin phi1) (sin phi2)) 3))) (sqrt (cbrt (pow (* (sin phi1) (sin phi2)) 3))) (sqrt (cbrt (pow (* (sin phi1) (sin phi2)) 3))) (expm1 (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log1p (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (/ PI 2) (asin (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (log (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (expm1 (pow (* (sin phi1) (sin phi2)) 3)) (log1p (pow (* (sin phi1) (sin phi2)) 3)) (* (+ (log (sin phi1)) (log (sin phi2))) 3) (* (log (* (sin phi1) (sin phi2))) 3) (* (log (* (sin phi1) (sin phi2))) 3) (* 1 3) (* 1 3) (pow (* (sin phi1) (sin phi2)) (* (cbrt 3) (cbrt 3))) (pow (* (sin phi1) (sin phi2)) (sqrt 3)) (pow (* (sin phi1) (sin phi2)) 1) (pow (sin phi1) 3) (pow (sin phi2) 3) (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (log (pow (* (sin phi1) (sin phi2)) 3)) (exp (pow (* (sin phi1) (sin phi2)) 3)) (* (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (cbrt (pow (* (sin phi1) (sin phi2)) 3))) (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (pow (* (sin phi1) (sin phi2)) 3) (pow (* (sin phi1) (sin phi2)) 3)) (pow (* (sin phi1) (sin phi2)) 3)) (pow (sin phi1) 3) (pow (sin phi2) 3) (pow (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) 3) (pow 2 3) (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (sqrt (pow (* (sin phi1) (sin phi2)) 3)) (sqrt (pow (* (sin phi1) (sin phi2)) 3)) (pow (* (sin phi1) (sin phi2)) (/ 3 2)) (pow (* (sin phi1) (sin phi2)) (/ 3 2)) (expm1 (* (sin phi1) (sin phi2))) (log1p (* (sin phi1) (sin phi2))) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (+ (log (sin phi1)) (log (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (* (sin phi1) 1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (- (* (pow phi2 3) (pow phi1 3)) (+ (* 1/2 (* (pow phi2 5) (pow phi1 3))) (* 1/2 (* (pow phi2 3) (pow phi1 5))))) (* (pow (sin phi1) 3) (pow (sin phi2) 3)) (* (pow (sin phi1) 3) (pow (sin phi2) 3)) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 2.800 * * [simplify]: iteration 0 : 280 enodes (cost 658 ) 2.806 * * [simplify]: iteration 1 : 1038 enodes (cost 602 ) 2.833 * * [simplify]: iteration 2 : 5002 enodes (cost 600 ) 2.836 * [simplify]: Simplified to: (expm1 (* (sin phi1) (sin phi2))) (log1p (* (sin phi1) (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (sin phi1) (sin phi2) (cbrt (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (sin phi1) (sin phi2) (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)))) (cbrt (sqrt (pow (* (sin phi1) (sin phi2)) 3))) (cbrt (sqrt (pow (* (sin phi1) (sin phi2)) 3))) 1 (* (sin phi1) (sin phi2)) (cbrt (pow (* (sin phi1) (sin phi2)) 3/2)) (cbrt (pow (* (sin phi1) (sin phi2)) 3/2)) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) 2 (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (pow (* (sin phi1) (sin phi2)) 1/2) (pow (* (sin phi1) (sin phi2)) 1/2) (expm1 (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log1p (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (/ PI 2) (asin (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (log (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (pow (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3) (sqrt (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (expm1 (pow (* (sin phi1) (sin phi2)) 3)) (log1p (pow (* (sin phi1) (sin phi2)) 3)) (log (pow (* (sin phi1) (sin phi2)) 3)) (log (pow (* (sin phi1) (sin phi2)) 3)) (log (pow (* (sin phi1) (sin phi2)) 3)) 3 3 (pow (* (sin phi1) (sin phi2)) (* (cbrt 3) (cbrt 3))) (pow (* (sin phi1) (sin phi2)) (sqrt 3)) (* (sin phi1) (sin phi2)) (pow (sin phi1) 3) (pow (sin phi2) 3) (pow (* (sin phi1) (sin phi2)) 2) (log (pow (* (sin phi1) (sin phi2)) 3)) (exp (pow (* (sin phi1) (sin phi2)) 3)) (pow (* (sin phi1) (sin phi2)) 2) (* (sin phi1) (sin phi2)) (pow (pow (* (sin phi1) (sin phi2)) 3) 3) (pow (sin phi1) 3) (pow (sin phi2) 3) (pow (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) 3) 8 (pow (* (sin phi1) (sin phi2)) 2) (sqrt (pow (* (sin phi1) (sin phi2)) 3)) (sqrt (pow (* (sin phi1) (sin phi2)) 3)) (pow (* (sin phi1) (sin phi2)) 3/2) (pow (* (sin phi1) (sin phi2)) 3/2) (expm1 (* (sin phi1) (sin phi2))) (log1p (* (sin phi1) (sin phi2))) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (log (* (sin phi1) (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (pow (* (sin phi1) (sin phi2)) 1/2) (pow (* (sin phi1) (sin phi2)) 1/2) (* (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) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (fma (pow phi1 3) (- (pow phi2 3) (* 1/2 (pow phi2 5))) (- (* 1/2 (* (pow phi2 3) (pow phi1 5))))) (pow (* (sin phi1) (sin phi2)) 3) (pow (* (sin phi1) (sin phi2)) 3) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 2.837 * * * [progress]: adding candidates to table 3.249 * [progress]: [Phase 3 of 3] Extracting. 3.249 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # # # #) 3.265 * * * [regime-changes]: Trying 10 branch expressions: ((- lambda1 lambda2) (cos (- lambda1 lambda2)) (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) phi2 phi1 lambda2 lambda1 R) 3.265 * * * * [regimes]: Trying to branch on (- lambda1 lambda2) from (# # # # # # # # # # # # # # # # #) 3.381 * * * * [regimes]: Trying to branch on (- lambda1 lambda2) from (# # # # # #) 3.420 * * * * [regimes]: Trying to branch on (cos (- lambda1 lambda2)) from (# # # # # # # # # # # # # # # # #) 3.540 * * * * [regimes]: Trying to branch on (cos (- lambda1 lambda2)) from (# # # # # #) 3.585 * * * * [regimes]: Trying to branch on (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) from (# # # # # # # # # # # # # # # # #) 3.716 * * * * [regimes]: Trying to branch on (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) from (# # # #) 3.766 * * * * [regimes]: Trying to branch on (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) from (# # # # # # # # # # # # # # # # #) 3.899 * * * * [regimes]: Trying to branch on (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) from (# # # #) 3.957 * * * * [regimes]: Trying to branch on (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) from (# # # # # # # # # # # # # # # # #) 4.091 * * * * [regimes]: Trying to branch on (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) from (# #) 4.135 * * * * [regimes]: Trying to branch on phi2 from (# # # # # # # # # # # # # # # # #) 4.249 * * * * [regimes]: Trying to branch on phi1 from (# # # # # # # # # # # # # # # # #) 4.361 * * * * [regimes]: Trying to branch on lambda2 from (# # # # # # # # # # # # # # # # #) 4.475 * * * * [regimes]: Trying to branch on lambda1 from (# # # # # # # # # # # # # # # # #) 4.591 * * * * [regimes]: Trying to branch on R from (# # # # # # # # # # # # # # # # #) 4.703 * * * [regime]: Found split indices: #