12.604 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.270 * * * [progress]: [2/2] Setting up program. 0.274 * [progress]: [Phase 2 of 3] Improving. 0.275 * [simplify]: Simplifying using # : (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 0.277 * * [simplify]: iteration 0 : 26 enodes (cost 12 ) 0.278 * * [simplify]: iteration 1 : 34 enodes (cost 12 ) 0.279 * * [simplify]: iteration 2 : 36 enodes (cost 12 ) 0.280 * * [simplify]: iteration 3 : 36 enodes (cost 12 ) 0.281 * [simplify]: Simplified to: (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 0.281 * * [progress]: iteration 1 / 4 0.281 * * * [progress]: picking best candidate 0.284 * * * * [pick]: Picked # 0.284 * * * [progress]: localizing error 0.313 * * * [progress]: generating rewritten candidates 0.313 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2) 0.318 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.318 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 0.322 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.326 * * * [progress]: generating series expansions 0.326 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2) 0.326 * [approximate]: Taking taylor expansion of (cos (- lambda1 lambda2)) in (lambda1 lambda2) around 0 0.326 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2 0.326 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2 0.326 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.326 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.327 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.327 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.327 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.327 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.327 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.327 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.327 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.327 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.328 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.328 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.328 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.331 * [taylor]: Taking taylor expansion of (- (sin (- lambda2))) in lambda2 0.331 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 0.331 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.331 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.334 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda2)))) in lambda2 0.334 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda2))) in lambda2 0.334 * [taylor]: Taking taylor expansion of 1/2 in lambda2 0.334 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.334 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.334 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.336 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in (lambda1 lambda2) around 0 0.336 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.336 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.336 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.336 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.336 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.336 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.337 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.337 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.337 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.337 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.337 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.337 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.338 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.338 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.338 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.338 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.338 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.338 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.339 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.339 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.339 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.339 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.339 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.339 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.339 * [taylor]: Taking taylor expansion of 0 in lambda2 0.340 * [taylor]: Taking taylor expansion of 0 in lambda2 0.340 * [taylor]: Taking taylor expansion of 0 in lambda2 0.340 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in (lambda1 lambda2) around 0 0.340 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.340 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.340 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.340 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.340 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.340 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.340 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.340 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.341 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.341 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.341 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.341 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.341 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.341 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.341 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.341 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.341 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.341 * [taylor]: Taking taylor expansion of lambda1 in lambda1 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 0.343 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.343 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.343 * [taylor]: Taking taylor expansion of 0 in lambda2 0.343 * [taylor]: Taking taylor expansion of 0 in lambda2 0.343 * [taylor]: Taking taylor expansion of 0 in lambda2 0.343 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.343 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 0.343 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.344 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.345 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.345 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.345 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.345 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.345 * [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 lambda2 0.346 * [taylor]: Taking taylor expansion of 0 in phi2 0.346 * [taylor]: Taking taylor expansion of 0 in lambda1 0.346 * [taylor]: Taking taylor expansion of 0 in lambda2 0.346 * [taylor]: Taking taylor expansion of 0 in lambda1 0.346 * [taylor]: Taking taylor expansion of 0 in lambda2 0.346 * [taylor]: Taking taylor expansion of 0 in lambda2 0.346 * [taylor]: Taking taylor expansion of 0 in phi2 0.346 * [taylor]: Taking taylor expansion of 0 in lambda1 0.346 * [taylor]: Taking taylor expansion of 0 in lambda2 0.346 * [taylor]: Taking taylor expansion of 0 in lambda1 0.346 * [taylor]: Taking taylor expansion of 0 in lambda2 0.347 * [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 0.347 * [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 0.347 * [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 0.347 * [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 0.347 * [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 0.348 * [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 0.348 * [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 0.348 * [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 0.348 * [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 0.349 * [taylor]: Taking taylor expansion of 0 in phi2 0.349 * [taylor]: Taking taylor expansion of 0 in lambda1 0.349 * [taylor]: Taking taylor expansion of 0 in lambda2 0.349 * [taylor]: Taking taylor expansion of 0 in lambda1 0.349 * [taylor]: Taking taylor expansion of 0 in lambda2 0.349 * [taylor]: Taking taylor expansion of 0 in lambda2 0.349 * [taylor]: Taking taylor expansion of 0 in phi2 0.349 * [taylor]: Taking taylor expansion of 0 in lambda1 0.349 * [taylor]: Taking taylor expansion of 0 in lambda2 0.349 * [taylor]: Taking taylor expansion of 0 in lambda1 0.349 * [taylor]: Taking taylor expansion of 0 in lambda2 0.350 * [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 0.350 * [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 0.350 * [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 0.350 * [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 0.351 * [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 0.351 * [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 0.351 * [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 0.352 * [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 0.352 * [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 0.352 * [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 0.353 * [taylor]: Taking taylor expansion of 0 in phi2 0.353 * [taylor]: Taking taylor expansion of 0 in lambda1 0.353 * [taylor]: Taking taylor expansion of 0 in lambda2 0.353 * [taylor]: Taking taylor expansion of 0 in lambda1 0.353 * [taylor]: Taking taylor expansion of 0 in lambda2 0.353 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 0.353 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 0.353 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 0.353 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 0.353 * [taylor]: Taking taylor expansion of phi1 in phi2 0.353 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.353 * [taylor]: Taking taylor expansion of phi2 in phi2 0.353 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.353 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.353 * [taylor]: Taking taylor expansion of phi1 in phi1 0.353 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.353 * [taylor]: Taking taylor expansion of phi2 in phi1 0.353 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.353 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.353 * [taylor]: Taking taylor expansion of phi1 in phi1 0.353 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.353 * [taylor]: Taking taylor expansion of phi2 in phi1 0.354 * [taylor]: Taking taylor expansion of 0 in phi2 0.356 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.356 * [taylor]: Taking taylor expansion of phi2 in phi2 0.359 * [taylor]: Taking taylor expansion of 0 in phi2 0.363 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 0.363 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 0.363 * [taylor]: Taking taylor expansion of 1/6 in phi2 0.363 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.363 * [taylor]: Taking taylor expansion of phi2 in phi2 0.369 * [taylor]: Taking taylor expansion of 0 in phi2 0.369 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 0.369 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.369 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.369 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.369 * [taylor]: Taking taylor expansion of phi1 in phi2 0.369 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.369 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.369 * [taylor]: Taking taylor expansion of phi2 in phi2 0.369 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.369 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.369 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.369 * [taylor]: Taking taylor expansion of phi1 in phi1 0.369 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.370 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.370 * [taylor]: Taking taylor expansion of phi2 in phi1 0.370 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.370 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.370 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.370 * [taylor]: Taking taylor expansion of phi1 in phi1 0.370 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.370 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.370 * [taylor]: Taking taylor expansion of phi2 in phi1 0.370 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.370 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.370 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.370 * [taylor]: Taking taylor expansion of phi1 in phi2 0.370 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.370 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.370 * [taylor]: Taking taylor expansion of phi2 in phi2 0.373 * [taylor]: Taking taylor expansion of 0 in phi2 0.376 * [taylor]: Taking taylor expansion of 0 in phi2 0.385 * [taylor]: Taking taylor expansion of 0 in phi2 0.386 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 0.386 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.386 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.386 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.386 * [taylor]: Taking taylor expansion of -1 in phi2 0.386 * [taylor]: Taking taylor expansion of phi1 in phi2 0.386 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.386 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.386 * [taylor]: Taking taylor expansion of -1 in phi2 0.386 * [taylor]: Taking taylor expansion of phi2 in phi2 0.386 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.386 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.386 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.386 * [taylor]: Taking taylor expansion of -1 in phi1 0.386 * [taylor]: Taking taylor expansion of phi1 in phi1 0.386 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.386 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.386 * [taylor]: Taking taylor expansion of -1 in phi1 0.386 * [taylor]: Taking taylor expansion of phi2 in phi1 0.387 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.387 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.387 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.387 * [taylor]: Taking taylor expansion of -1 in phi1 0.387 * [taylor]: Taking taylor expansion of phi1 in phi1 0.387 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.387 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.387 * [taylor]: Taking taylor expansion of -1 in phi1 0.387 * [taylor]: Taking taylor expansion of phi2 in phi1 0.387 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.387 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.387 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.387 * [taylor]: Taking taylor expansion of -1 in phi2 0.387 * [taylor]: Taking taylor expansion of phi1 in phi2 0.387 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.387 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.388 * [taylor]: Taking taylor expansion of -1 in phi2 0.388 * [taylor]: Taking taylor expansion of phi2 in phi2 0.390 * [taylor]: Taking taylor expansion of 0 in phi2 0.393 * [taylor]: Taking taylor expansion of 0 in phi2 0.398 * [taylor]: Taking taylor expansion of 0 in phi2 0.399 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.399 * [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 0.399 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R 0.399 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R 0.399 * [taylor]: Taking taylor expansion of R in R 0.399 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2 0.399 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.399 * [taylor]: Taking taylor expansion of R in lambda2 0.399 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1 0.399 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.400 * [taylor]: Taking taylor expansion of R in lambda1 0.400 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2 0.400 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.400 * [taylor]: Taking taylor expansion of R in phi2 0.400 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1 0.400 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.400 * [taylor]: Taking taylor expansion of R in phi1 0.400 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1 0.400 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.400 * [taylor]: Taking taylor expansion of R in phi1 0.401 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2 0.401 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.401 * [taylor]: Taking taylor expansion of R in phi2 0.401 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1 0.401 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.401 * [taylor]: Taking taylor expansion of R in lambda1 0.401 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2 0.401 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.401 * [taylor]: Taking taylor expansion of R in lambda2 0.402 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R 0.402 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R 0.402 * [taylor]: Taking taylor expansion of R in R 0.402 * [taylor]: Taking taylor expansion of 0 in phi2 0.402 * [taylor]: Taking taylor expansion of 0 in lambda1 0.402 * [taylor]: Taking taylor expansion of 0 in lambda2 0.402 * [taylor]: Taking taylor expansion of 0 in R 0.403 * [taylor]: Taking taylor expansion of 0 in lambda1 0.403 * [taylor]: Taking taylor expansion of 0 in lambda2 0.403 * [taylor]: Taking taylor expansion of 0 in R 0.403 * [taylor]: Taking taylor expansion of 0 in lambda2 0.403 * [taylor]: Taking taylor expansion of 0 in R 0.403 * [taylor]: Taking taylor expansion of 0 in R 0.404 * [taylor]: Taking taylor expansion of 0 in phi2 0.404 * [taylor]: Taking taylor expansion of 0 in lambda1 0.404 * [taylor]: Taking taylor expansion of 0 in lambda2 0.405 * [taylor]: Taking taylor expansion of 0 in R 0.405 * [taylor]: Taking taylor expansion of 0 in lambda1 0.405 * [taylor]: Taking taylor expansion of 0 in lambda2 0.405 * [taylor]: Taking taylor expansion of 0 in R 0.405 * [taylor]: Taking taylor expansion of 0 in lambda1 0.405 * [taylor]: Taking taylor expansion of 0 in lambda2 0.405 * [taylor]: Taking taylor expansion of 0 in R 0.405 * [taylor]: Taking taylor expansion of 0 in lambda2 0.405 * [taylor]: Taking taylor expansion of 0 in R 0.405 * [taylor]: Taking taylor expansion of 0 in lambda2 0.405 * [taylor]: Taking taylor expansion of 0 in R 0.406 * [taylor]: Taking taylor expansion of 0 in lambda2 0.406 * [taylor]: Taking taylor expansion of 0 in R 0.407 * [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 0.407 * [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 0.407 * [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 0.407 * [taylor]: Taking taylor expansion of R in R 0.407 * [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 0.407 * [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 0.407 * [taylor]: Taking taylor expansion of R in lambda2 0.408 * [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 0.408 * [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 0.408 * [taylor]: Taking taylor expansion of R in lambda1 0.408 * [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 0.408 * [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 0.409 * [taylor]: Taking taylor expansion of R in phi2 0.409 * [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 0.409 * [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 0.409 * [taylor]: Taking taylor expansion of R in phi1 0.409 * [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 0.409 * [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 0.410 * [taylor]: Taking taylor expansion of R in phi1 0.410 * [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 0.410 * [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 0.410 * [taylor]: Taking taylor expansion of R in phi2 0.411 * [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 0.411 * [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 0.411 * [taylor]: Taking taylor expansion of R in lambda1 0.411 * [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 0.411 * [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 0.411 * [taylor]: Taking taylor expansion of R in lambda2 0.412 * [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 0.412 * [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 0.412 * [taylor]: Taking taylor expansion of R in R 0.413 * [taylor]: Taking taylor expansion of 0 in phi2 0.413 * [taylor]: Taking taylor expansion of 0 in lambda1 0.413 * [taylor]: Taking taylor expansion of 0 in lambda2 0.413 * [taylor]: Taking taylor expansion of 0 in R 0.413 * [taylor]: Taking taylor expansion of 0 in lambda1 0.413 * [taylor]: Taking taylor expansion of 0 in lambda2 0.413 * [taylor]: Taking taylor expansion of 0 in R 0.414 * [taylor]: Taking taylor expansion of 0 in lambda2 0.414 * [taylor]: Taking taylor expansion of 0 in R 0.414 * [taylor]: Taking taylor expansion of 0 in R 0.416 * [taylor]: Taking taylor expansion of 0 in phi2 0.416 * [taylor]: Taking taylor expansion of 0 in lambda1 0.416 * [taylor]: Taking taylor expansion of 0 in lambda2 0.416 * [taylor]: Taking taylor expansion of 0 in R 0.416 * [taylor]: Taking taylor expansion of 0 in lambda1 0.416 * [taylor]: Taking taylor expansion of 0 in lambda2 0.416 * [taylor]: Taking taylor expansion of 0 in R 0.416 * [taylor]: Taking taylor expansion of 0 in lambda1 0.416 * [taylor]: Taking taylor expansion of 0 in lambda2 0.416 * [taylor]: Taking taylor expansion of 0 in R 0.416 * [taylor]: Taking taylor expansion of 0 in lambda2 0.416 * [taylor]: Taking taylor expansion of 0 in R 0.416 * [taylor]: Taking taylor expansion of 0 in lambda2 0.416 * [taylor]: Taking taylor expansion of 0 in R 0.417 * [taylor]: Taking taylor expansion of 0 in lambda2 0.417 * [taylor]: Taking taylor expansion of 0 in R 0.417 * [taylor]: Taking taylor expansion of 0 in R 0.417 * [taylor]: Taking taylor expansion of 0 in R 0.417 * [taylor]: Taking taylor expansion of 0 in R 0.417 * [taylor]: Taking taylor expansion of 0 in R 0.419 * [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 0.419 * [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 0.419 * [taylor]: Taking taylor expansion of -1 in R 0.419 * [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 0.419 * [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 0.420 * [taylor]: Taking taylor expansion of R in R 0.420 * [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 0.420 * [taylor]: Taking taylor expansion of -1 in lambda2 0.420 * [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 0.420 * [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 0.420 * [taylor]: Taking taylor expansion of R in lambda2 0.421 * [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 0.421 * [taylor]: Taking taylor expansion of -1 in lambda1 0.421 * [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 0.421 * [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 0.421 * [taylor]: Taking taylor expansion of R in lambda1 0.421 * [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 0.421 * [taylor]: Taking taylor expansion of -1 in phi2 0.421 * [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 0.421 * [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 0.421 * [taylor]: Taking taylor expansion of R in phi2 0.422 * [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 0.422 * [taylor]: Taking taylor expansion of -1 in phi1 0.422 * [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 0.422 * [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 0.422 * [taylor]: Taking taylor expansion of R in phi1 0.422 * [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 0.422 * [taylor]: Taking taylor expansion of -1 in phi1 0.422 * [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 0.422 * [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 0.423 * [taylor]: Taking taylor expansion of R in phi1 0.423 * [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 0.423 * [taylor]: Taking taylor expansion of -1 in phi2 0.423 * [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 0.423 * [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 0.423 * [taylor]: Taking taylor expansion of R in phi2 0.424 * [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 0.424 * [taylor]: Taking taylor expansion of -1 in lambda1 0.424 * [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 0.424 * [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 0.424 * [taylor]: Taking taylor expansion of R in lambda1 0.425 * [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 0.425 * [taylor]: Taking taylor expansion of -1 in lambda2 0.425 * [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 0.425 * [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 0.425 * [taylor]: Taking taylor expansion of R in lambda2 0.426 * [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 0.426 * [taylor]: Taking taylor expansion of -1 in R 0.426 * [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 0.426 * [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 0.426 * [taylor]: Taking taylor expansion of R in R 0.428 * [taylor]: Taking taylor expansion of 0 in phi2 0.428 * [taylor]: Taking taylor expansion of 0 in lambda1 0.428 * [taylor]: Taking taylor expansion of 0 in lambda2 0.428 * [taylor]: Taking taylor expansion of 0 in R 0.429 * [taylor]: Taking taylor expansion of 0 in lambda1 0.429 * [taylor]: Taking taylor expansion of 0 in lambda2 0.429 * [taylor]: Taking taylor expansion of 0 in R 0.430 * [taylor]: Taking taylor expansion of 0 in lambda2 0.430 * [taylor]: Taking taylor expansion of 0 in R 0.431 * [taylor]: Taking taylor expansion of 0 in R 0.433 * [taylor]: Taking taylor expansion of 0 in phi2 0.433 * [taylor]: Taking taylor expansion of 0 in lambda1 0.433 * [taylor]: Taking taylor expansion of 0 in lambda2 0.433 * [taylor]: Taking taylor expansion of 0 in R 0.433 * [taylor]: Taking taylor expansion of 0 in lambda1 0.433 * [taylor]: Taking taylor expansion of 0 in lambda2 0.433 * [taylor]: Taking taylor expansion of 0 in R 0.435 * [taylor]: Taking taylor expansion of 0 in lambda1 0.435 * [taylor]: Taking taylor expansion of 0 in lambda2 0.435 * [taylor]: Taking taylor expansion of 0 in R 0.435 * [taylor]: Taking taylor expansion of 0 in lambda2 0.435 * [taylor]: Taking taylor expansion of 0 in R 0.435 * [taylor]: Taking taylor expansion of 0 in lambda2 0.435 * [taylor]: Taking taylor expansion of 0 in R 0.436 * [taylor]: Taking taylor expansion of 0 in lambda2 0.436 * [taylor]: Taking taylor expansion of 0 in R 0.436 * [taylor]: Taking taylor expansion of 0 in R 0.436 * [taylor]: Taking taylor expansion of 0 in R 0.436 * [taylor]: Taking taylor expansion of 0 in R 0.437 * [taylor]: Taking taylor expansion of 0 in R 0.440 * * * [progress]: simplifying candidates 0.441 * [simplify]: Simplifying using # : (* (cos lambda1) (cos (- lambda2))) (* (sin lambda1) (sin (- lambda2))) (* (cos lambda1) (cos (- lambda2))) (* (sin lambda1) (sin (- lambda2))) (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)) (log (cos (- lambda1 lambda2))) (exp (cos (- lambda1 lambda2))) (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2)))) (cbrt (cos (- lambda1 lambda2))) (* (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (- (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)) (* (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) (- (+ 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))))) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin 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) 0.445 * * [simplify]: iteration 0 : 200 enodes (cost 661 ) 0.448 * * [simplify]: iteration 1 : 565 enodes (cost 569 ) 0.457 * * [simplify]: iteration 2 : 1790 enodes (cost 569 ) 0.481 * * [simplify]: iteration 3 : 5001 enodes (cost 569 ) 0.483 * [simplify]: Simplified to: (* (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))) (/ 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)))))) (- (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)) (* (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) (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2))) (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))))) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin 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) 0.484 * * * [progress]: adding candidates to table 0.711 * * [progress]: iteration 2 / 4 0.711 * * * [progress]: picking best candidate 0.768 * * * * [pick]: Picked # 0.768 * * * [progress]: localizing error 0.803 * * * [progress]: generating rewritten candidates 0.803 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.804 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 2 2) 0.810 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 0.814 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.818 * * * [progress]: generating series expansions 0.818 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.819 * [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 0.819 * [taylor]: Taking 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 0.819 * [taylor]: Taking 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 0.819 * [taylor]: Taking 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 0.820 * [taylor]: Taking 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 0.820 * [taylor]: Taking 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 0.821 * [taylor]: Taking 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 0.821 * [taylor]: Taking 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 0.821 * [taylor]: Taking 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 0.822 * [taylor]: Taking taylor expansion of 0 in phi2 0.822 * [taylor]: Taking taylor expansion of 0 in lambda1 0.822 * [taylor]: Taking taylor expansion of 0 in lambda2 0.822 * [taylor]: Taking taylor expansion of 0 in lambda1 0.822 * [taylor]: Taking taylor expansion of 0 in lambda2 0.822 * [taylor]: Taking taylor expansion of 0 in lambda2 0.822 * [taylor]: Taking taylor expansion of 0 in phi2 0.822 * [taylor]: Taking taylor expansion of 0 in lambda1 0.822 * [taylor]: Taking taylor expansion of 0 in lambda2 0.822 * [taylor]: Taking taylor expansion of 0 in lambda1 0.822 * [taylor]: Taking taylor expansion of 0 in lambda2 0.823 * [approximate]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 0.823 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 0.824 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 0.824 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 0.825 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 0.825 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 0.826 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 0.826 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 0.827 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 0.828 * [taylor]: Taking taylor expansion of 0 in phi2 0.828 * [taylor]: Taking taylor expansion of 0 in lambda1 0.828 * [taylor]: Taking taylor expansion of 0 in lambda2 0.828 * [taylor]: Taking taylor expansion of 0 in lambda1 0.828 * [taylor]: Taking taylor expansion of 0 in lambda2 0.828 * [taylor]: Taking taylor expansion of 0 in lambda2 0.828 * [taylor]: Taking taylor expansion of 0 in phi2 0.828 * [taylor]: Taking taylor expansion of 0 in lambda1 0.828 * [taylor]: Taking taylor expansion of 0 in lambda2 0.828 * [taylor]: Taking taylor expansion of 0 in lambda1 0.828 * [taylor]: Taking taylor expansion of 0 in lambda2 0.829 * [approximate]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in (phi1 phi2 lambda1 lambda2) around 0 0.829 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 0.829 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 0.830 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 0.830 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 0.831 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 0.831 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 0.832 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 0.832 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 0.834 * [taylor]: Taking taylor expansion of 0 in phi2 0.834 * [taylor]: Taking taylor expansion of 0 in lambda1 0.834 * [taylor]: Taking taylor expansion of 0 in lambda2 0.834 * [taylor]: Taking taylor expansion of 0 in lambda1 0.834 * [taylor]: Taking taylor expansion of 0 in lambda2 0.834 * [taylor]: Taking taylor expansion of 0 in lambda2 0.834 * [taylor]: Taking taylor expansion of 0 in phi2 0.834 * [taylor]: Taking taylor expansion of 0 in lambda1 0.834 * [taylor]: Taking taylor expansion of 0 in lambda2 0.834 * [taylor]: Taking taylor expansion of 0 in lambda1 0.834 * [taylor]: Taking taylor expansion of 0 in lambda2 0.834 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 2 2) 0.835 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in (lambda1 lambda2) around 0 0.835 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda2 0.835 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 0.835 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.835 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 0.835 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.835 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.835 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda1 0.835 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 0.835 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.836 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda1 0.836 * [taylor]: Taking taylor expansion of (- lambda2) in lambda1 0.836 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.836 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda1 0.836 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 0.836 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.836 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda1 0.836 * [taylor]: Taking taylor expansion of (- lambda2) in lambda1 0.836 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.836 * [taylor]: Taking taylor expansion of 0 in lambda2 0.838 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 0.838 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.838 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.842 * [taylor]: Taking taylor expansion of 0 in lambda2 0.847 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin (- lambda2)))) in lambda2 0.847 * [taylor]: Taking taylor expansion of (* 1/6 (sin (- lambda2))) in lambda2 0.847 * [taylor]: Taking taylor expansion of 1/6 in lambda2 0.847 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 0.847 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.847 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.855 * [taylor]: Taking taylor expansion of 0 in lambda2 0.855 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in (lambda1 lambda2) around 0 0.855 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda2 0.855 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 0.855 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.855 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.855 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda2 0.855 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda2 0.855 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.855 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.856 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda1 0.856 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 0.856 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.856 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.856 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda1 0.856 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda1 0.856 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.856 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.857 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda1 0.857 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 0.857 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.857 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.857 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda1 0.857 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda1 0.857 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.857 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.857 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda2 0.857 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 0.857 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.857 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.858 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda2 0.858 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda2 0.858 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.858 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.860 * [taylor]: Taking taylor expansion of 0 in lambda2 0.864 * [taylor]: Taking taylor expansion of 0 in lambda2 0.874 * [taylor]: Taking taylor expansion of 0 in lambda2 0.874 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in (lambda1 lambda2) around 0 0.874 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda2 0.874 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 0.874 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 0.874 * [taylor]: Taking taylor expansion of -1 in lambda2 0.874 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.874 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 0.875 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.875 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.875 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda1 0.875 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 0.875 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 0.875 * [taylor]: Taking taylor expansion of -1 in lambda1 0.875 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.875 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 0.875 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.875 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.875 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda1 0.875 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 0.875 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 0.875 * [taylor]: Taking taylor expansion of -1 in lambda1 0.875 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.876 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 0.876 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.876 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.876 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda2 0.876 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 0.876 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 0.876 * [taylor]: Taking taylor expansion of -1 in lambda2 0.876 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.876 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 0.876 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.876 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.878 * [taylor]: Taking taylor expansion of 0 in lambda2 0.882 * [taylor]: Taking taylor expansion of 0 in lambda2 0.888 * [taylor]: Taking taylor expansion of 0 in lambda2 0.888 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 0.888 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 0.888 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 0.888 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 0.888 * [taylor]: Taking taylor expansion of phi1 in phi2 0.888 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.888 * [taylor]: Taking taylor expansion of phi2 in phi2 0.888 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.888 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.888 * [taylor]: Taking taylor expansion of phi1 in phi1 0.888 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.888 * [taylor]: Taking taylor expansion of phi2 in phi1 0.888 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.888 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.888 * [taylor]: Taking taylor expansion of phi1 in phi1 0.888 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.888 * [taylor]: Taking taylor expansion of phi2 in phi1 0.888 * [taylor]: Taking taylor expansion of 0 in phi2 0.890 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.890 * [taylor]: Taking taylor expansion of phi2 in phi2 0.893 * [taylor]: Taking taylor expansion of 0 in phi2 0.897 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 0.897 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 0.897 * [taylor]: Taking taylor expansion of 1/6 in phi2 0.897 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.897 * [taylor]: Taking taylor expansion of phi2 in phi2 0.903 * [taylor]: Taking taylor expansion of 0 in phi2 0.903 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 0.903 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.903 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.903 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.903 * [taylor]: Taking taylor expansion of phi1 in phi2 0.903 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.903 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.903 * [taylor]: Taking taylor expansion of phi2 in phi2 0.903 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.903 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.903 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.904 * [taylor]: Taking taylor expansion of phi1 in phi1 0.904 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.904 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.904 * [taylor]: Taking taylor expansion of phi2 in phi1 0.904 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.904 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.904 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.904 * [taylor]: Taking taylor expansion of phi1 in phi1 0.904 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.904 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.904 * [taylor]: Taking taylor expansion of phi2 in phi1 0.905 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.905 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.905 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.905 * [taylor]: Taking taylor expansion of phi1 in phi2 0.905 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.905 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.905 * [taylor]: Taking taylor expansion of phi2 in phi2 0.907 * [taylor]: Taking taylor expansion of 0 in phi2 0.911 * [taylor]: Taking taylor expansion of 0 in phi2 0.916 * [taylor]: Taking taylor expansion of 0 in phi2 0.916 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 0.916 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.916 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.916 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.916 * [taylor]: Taking taylor expansion of -1 in phi2 0.916 * [taylor]: Taking taylor expansion of phi1 in phi2 0.916 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.916 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.916 * [taylor]: Taking taylor expansion of -1 in phi2 0.916 * [taylor]: Taking taylor expansion of phi2 in phi2 0.917 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.917 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.917 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.917 * [taylor]: Taking taylor expansion of -1 in phi1 0.917 * [taylor]: Taking taylor expansion of phi1 in phi1 0.917 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.917 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.917 * [taylor]: Taking taylor expansion of -1 in phi1 0.917 * [taylor]: Taking taylor expansion of phi2 in phi1 0.917 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.917 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.917 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.917 * [taylor]: Taking taylor expansion of -1 in phi1 0.917 * [taylor]: Taking taylor expansion of phi1 in phi1 0.917 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.918 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.918 * [taylor]: Taking taylor expansion of -1 in phi1 0.918 * [taylor]: Taking taylor expansion of phi2 in phi1 0.918 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.918 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.918 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.918 * [taylor]: Taking taylor expansion of -1 in phi2 0.918 * [taylor]: Taking taylor expansion of phi1 in phi2 0.918 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.918 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.918 * [taylor]: Taking taylor expansion of -1 in phi2 0.918 * [taylor]: Taking taylor expansion of phi2 in phi2 0.920 * [taylor]: Taking taylor expansion of 0 in phi2 0.924 * [taylor]: Taking taylor expansion of 0 in phi2 0.929 * [taylor]: Taking taylor expansion of 0 in phi2 0.929 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.930 * [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 0.930 * [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))))))) R) in R 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 R 0.930 * [taylor]: Taking taylor expansion of R in R 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))))))) R) in lambda2 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 lambda2 0.931 * [taylor]: Taking taylor expansion of R in lambda2 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))))))) R) in lambda1 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 0.931 * [taylor]: Taking taylor expansion of R in lambda1 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))))))) R) 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 phi2 0.931 * [taylor]: Taking taylor expansion of R 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))))))) R) 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 0.932 * [taylor]: Taking taylor expansion of R in phi1 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))))))) R) in phi1 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 phi1 0.932 * [taylor]: Taking taylor expansion of R in phi1 0.933 * [taylor]: Taking 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 0.933 * [taylor]: Taking 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 0.933 * [taylor]: Taking taylor expansion of R in phi2 0.933 * [taylor]: Taking 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 0.933 * [taylor]: Taking 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 0.934 * [taylor]: Taking taylor expansion of R in lambda1 0.934 * [taylor]: Taking 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 0.934 * [taylor]: Taking 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 0.935 * [taylor]: Taking taylor expansion of R in lambda2 0.935 * [taylor]: Taking 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 0.935 * [taylor]: Taking 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 0.935 * [taylor]: Taking taylor expansion of R in R 0.936 * [taylor]: Taking taylor expansion of 0 in phi2 0.936 * [taylor]: Taking taylor expansion of 0 in lambda1 0.936 * [taylor]: Taking taylor expansion of 0 in lambda2 0.936 * [taylor]: Taking taylor expansion of 0 in R 0.937 * [taylor]: Taking taylor expansion of 0 in lambda1 0.937 * [taylor]: Taking taylor expansion of 0 in lambda2 0.937 * [taylor]: Taking taylor expansion of 0 in R 0.937 * [taylor]: Taking taylor expansion of 0 in lambda2 0.937 * [taylor]: Taking taylor expansion of 0 in R 0.937 * [taylor]: Taking taylor expansion of 0 in R 0.939 * [taylor]: Taking taylor expansion of 0 in phi2 0.939 * [taylor]: Taking taylor expansion of 0 in lambda1 0.939 * [taylor]: Taking taylor expansion of 0 in lambda2 0.939 * [taylor]: Taking taylor expansion of 0 in R 0.939 * [taylor]: Taking taylor expansion of 0 in lambda1 0.939 * [taylor]: Taking taylor expansion of 0 in lambda2 0.939 * [taylor]: Taking taylor expansion of 0 in R 0.940 * [taylor]: Taking taylor expansion of 0 in lambda1 0.940 * [taylor]: Taking taylor expansion of 0 in lambda2 0.940 * [taylor]: Taking taylor expansion of 0 in R 0.940 * [taylor]: Taking taylor expansion of 0 in lambda2 0.940 * [taylor]: Taking taylor expansion of 0 in R 0.940 * [taylor]: Taking taylor expansion of 0 in lambda2 0.940 * [taylor]: Taking taylor expansion of 0 in R 0.941 * [taylor]: Taking taylor expansion of 0 in lambda2 0.941 * [taylor]: Taking taylor expansion of 0 in R 0.942 * [approximate]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 0.942 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in R 0.942 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in R 0.943 * [taylor]: Taking taylor expansion of R in R 0.943 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in lambda2 0.943 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 0.944 * [taylor]: Taking taylor expansion of R in lambda2 0.944 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in lambda1 0.944 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 0.945 * [taylor]: Taking taylor expansion of R in lambda1 0.945 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in phi2 0.945 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 0.946 * [taylor]: Taking taylor expansion of R in phi2 0.946 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in phi1 0.946 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 0.947 * [taylor]: Taking taylor expansion of R in phi1 0.947 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in phi1 0.947 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 0.948 * [taylor]: Taking taylor expansion of R in phi1 0.948 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in phi2 0.948 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 0.949 * [taylor]: Taking taylor expansion of R in phi2 0.949 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in lambda1 0.949 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 0.950 * [taylor]: Taking taylor expansion of R in lambda1 0.950 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in lambda2 0.950 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 0.953 * [taylor]: Taking taylor expansion of R in lambda2 0.954 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in R 0.954 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in R 0.954 * [taylor]: Taking taylor expansion of R in R 0.956 * [taylor]: Taking taylor expansion of 0 in phi2 0.956 * [taylor]: Taking taylor expansion of 0 in lambda1 0.956 * [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 lambda1 0.957 * [taylor]: Taking taylor expansion of 0 in lambda2 0.957 * [taylor]: Taking taylor expansion of 0 in R 0.957 * [taylor]: Taking taylor expansion of 0 in lambda2 0.957 * [taylor]: Taking taylor expansion of 0 in R 0.958 * [taylor]: Taking taylor expansion of 0 in R 0.960 * [taylor]: Taking taylor expansion of 0 in phi2 0.960 * [taylor]: Taking taylor expansion of 0 in lambda1 0.960 * [taylor]: Taking taylor expansion of 0 in lambda2 0.960 * [taylor]: Taking taylor expansion of 0 in R 0.960 * [taylor]: Taking taylor expansion of 0 in lambda1 0.960 * [taylor]: Taking taylor expansion of 0 in lambda2 0.960 * [taylor]: Taking taylor expansion of 0 in R 0.960 * [taylor]: Taking taylor expansion of 0 in lambda1 0.961 * [taylor]: Taking taylor expansion of 0 in lambda2 0.961 * [taylor]: Taking taylor expansion of 0 in R 0.961 * [taylor]: Taking taylor expansion of 0 in lambda2 0.961 * [taylor]: Taking taylor expansion of 0 in R 0.961 * [taylor]: Taking taylor expansion of 0 in lambda2 0.961 * [taylor]: Taking taylor expansion of 0 in R 0.961 * [taylor]: Taking taylor expansion of 0 in lambda2 0.961 * [taylor]: Taking taylor expansion of 0 in R 0.961 * [taylor]: Taking taylor expansion of 0 in R 0.961 * [taylor]: Taking taylor expansion of 0 in R 0.961 * [taylor]: Taking taylor expansion of 0 in R 0.962 * [taylor]: Taking taylor expansion of 0 in R 0.965 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 0.965 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in R 0.965 * [taylor]: Taking taylor expansion of -1 in R 0.965 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in R 0.965 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in R 0.966 * [taylor]: Taking taylor expansion of R in R 0.966 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda2 0.966 * [taylor]: Taking taylor expansion of -1 in lambda2 0.966 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda2 0.966 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 0.967 * [taylor]: Taking taylor expansion of R in lambda2 0.967 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda1 0.967 * [taylor]: Taking taylor expansion of -1 in lambda1 0.967 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda1 0.967 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 0.968 * [taylor]: Taking taylor expansion of R in lambda1 0.968 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi2 0.968 * [taylor]: Taking taylor expansion of -1 in phi2 0.968 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi2 0.968 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 0.969 * [taylor]: Taking taylor expansion of R in phi2 0.969 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi1 0.969 * [taylor]: Taking taylor expansion of -1 in phi1 0.969 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi1 0.969 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 0.970 * [taylor]: Taking taylor expansion of R in phi1 0.970 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi1 0.970 * [taylor]: Taking taylor expansion of -1 in phi1 0.970 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi1 0.970 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 0.971 * [taylor]: Taking taylor expansion of R in phi1 0.972 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi2 0.972 * [taylor]: Taking taylor expansion of -1 in phi2 0.972 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi2 0.972 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 0.972 * [taylor]: Taking taylor expansion of R in phi2 0.973 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda1 0.973 * [taylor]: Taking taylor expansion of -1 in lambda1 0.973 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda1 0.973 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 0.974 * [taylor]: Taking taylor expansion of R in lambda1 0.975 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda2 0.975 * [taylor]: Taking taylor expansion of -1 in lambda2 0.975 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda2 0.975 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 0.975 * [taylor]: Taking taylor expansion of R in lambda2 0.976 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in R 0.976 * [taylor]: Taking taylor expansion of -1 in R 0.976 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in R 0.977 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in R 0.977 * [taylor]: Taking taylor expansion of R in R 0.980 * [taylor]: Taking taylor expansion of 0 in phi2 0.980 * [taylor]: Taking taylor expansion of 0 in lambda1 0.980 * [taylor]: Taking taylor expansion of 0 in lambda2 0.980 * [taylor]: Taking taylor expansion of 0 in R 0.982 * [taylor]: Taking taylor expansion of 0 in lambda1 0.982 * [taylor]: Taking taylor expansion of 0 in lambda2 0.982 * [taylor]: Taking taylor expansion of 0 in R 0.983 * [taylor]: Taking taylor expansion of 0 in lambda2 0.983 * [taylor]: Taking taylor expansion of 0 in R 0.985 * [taylor]: Taking taylor expansion of 0 in R 0.988 * [taylor]: Taking taylor expansion of 0 in phi2 0.988 * [taylor]: Taking taylor expansion of 0 in lambda1 0.988 * [taylor]: Taking taylor expansion of 0 in lambda2 0.988 * [taylor]: Taking taylor expansion of 0 in R 0.988 * [taylor]: Taking taylor expansion of 0 in lambda1 0.988 * [taylor]: Taking taylor expansion of 0 in lambda2 0.988 * [taylor]: Taking taylor expansion of 0 in R 0.990 * [taylor]: Taking taylor expansion of 0 in lambda1 0.990 * [taylor]: Taking taylor expansion of 0 in lambda2 0.990 * [taylor]: Taking taylor expansion of 0 in R 0.990 * [taylor]: Taking taylor expansion of 0 in lambda2 0.990 * [taylor]: Taking taylor expansion of 0 in R 0.990 * [taylor]: Taking taylor expansion of 0 in lambda2 0.990 * [taylor]: Taking taylor expansion of 0 in R 0.992 * [taylor]: Taking taylor expansion of 0 in lambda2 0.992 * [taylor]: Taking taylor expansion of 0 in R 0.992 * [taylor]: Taking taylor expansion of 0 in R 0.992 * [taylor]: Taking taylor expansion of 0 in R 0.992 * [taylor]: Taking taylor expansion of 0 in R 0.994 * [taylor]: Taking taylor expansion of 0 in R 0.997 * * * [progress]: simplifying candidates 0.998 * [simplify]: Simplifying using # : (/ 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)))))))) (- (cos (- lambda1 (- lambda2))) (cos (+ lambda1 (- lambda2)))) (* (sin lambda1) (sin (- lambda2))) (+ (log (sin lambda1)) (log (sin (- lambda2)))) (log (* (sin lambda1) (sin (- lambda2)))) (exp (* (sin lambda1) (sin (- lambda2)))) (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin (- lambda2)) (sin (- lambda2))) (sin (- lambda2)))) (* (cbrt (* (sin lambda1) (sin (- lambda2)))) (cbrt (* (sin lambda1) (sin (- lambda2))))) (cbrt (* (sin lambda1) (sin (- lambda2)))) (* (* (* (sin lambda1) (sin (- lambda2))) (* (sin lambda1) (sin (- lambda2)))) (* (sin lambda1) (sin (- lambda2)))) (sqrt (* (sin lambda1) (sin (- lambda2)))) (sqrt (* (sin lambda1) (sin (- lambda2)))) (* (sqrt (sin lambda1)) (sqrt (sin (- lambda2)))) (* (sqrt (sin lambda1)) (sqrt (sin (- lambda2)))) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (* (cbrt (sin (- lambda2))) (cbrt (sin (- lambda2))))) (* (sin lambda1) (sqrt (sin (- lambda2)))) (* (sin lambda1) 1) (* (cbrt (sin lambda1)) (sin (- lambda2))) (* (sqrt (sin lambda1)) (sin (- lambda2))) (* (sin lambda1) (sin (- lambda2))) (- (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)) (* (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) (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) (* -1 (* lambda2 lambda1)) (* (sin lambda1) (sin (- lambda2))) (* (sin lambda1) (sin (* -1 lambda2))) (* 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))))))) R) (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) R) 1.004 * * [simplify]: iteration 0 : 281 enodes (cost 1000 ) 1.008 * * [simplify]: iteration 1 : 916 enodes (cost 859 ) 1.022 * * [simplify]: iteration 2 : 2499 enodes (cost 835 ) 1.054 * * [simplify]: iteration 3 : 5001 enodes (cost 835 ) 1.057 * [simplify]: Simplified to: (/ 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)))))))) (- (cos (- lambda1 (- lambda2))) (cos (+ lambda1 (- lambda2)))) (* (sin lambda1) (sin (* -1 lambda2))) (log (* (sin lambda1) (sin (- lambda2)))) (log (* (sin lambda1) (sin (- lambda2)))) (exp (* (sin lambda1) (sin (- lambda2)))) (pow (* (sin lambda1) (sin (* -1 lambda2))) 3) (* (cbrt (* (sin lambda1) (sin (- lambda2)))) (cbrt (* (sin lambda1) (sin (- lambda2))))) (cbrt (* (sin lambda1) (sin (- lambda2)))) (pow (* (sin lambda1) (sin (* -1 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) (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 (* -1 lambda2))) (- (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)) (* (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) (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))))))) (* -1 (* lambda2 lambda1)) (* (sin lambda1) (sin (* -1 lambda2))) (* (sin lambda1) (sin (* -1 lambda2))) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (* (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) 1.058 * * * [progress]: adding candidates to table 1.393 * * [progress]: iteration 3 / 4 1.393 * * * [progress]: picking best candidate 1.484 * * * * [pick]: Picked # 1.484 * * * [progress]: localizing error 1.521 * * * [progress]: generating rewritten candidates 1.521 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 1.522 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 1.522 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1 2 2 2) 1.528 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 1) 1.533 * * * [progress]: generating series expansions 1.533 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 1.534 * [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 1.534 * [taylor]: Taking 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 1.534 * [taylor]: Taking 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 1.535 * [taylor]: Taking 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 1.535 * [taylor]: Taking 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 1.535 * [taylor]: Taking 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 1.536 * [taylor]: Taking 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 1.536 * [taylor]: Taking 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 1.536 * [taylor]: Taking 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 1.537 * [taylor]: Taking taylor expansion of 0 in phi2 1.537 * [taylor]: Taking taylor expansion of 0 in lambda1 1.537 * [taylor]: Taking taylor expansion of 0 in lambda2 1.537 * [taylor]: Taking taylor expansion of 0 in lambda1 1.537 * [taylor]: Taking taylor expansion of 0 in lambda2 1.537 * [taylor]: Taking taylor expansion of 0 in lambda2 1.538 * [taylor]: Taking taylor expansion of 0 in phi2 1.538 * [taylor]: Taking taylor expansion of 0 in lambda1 1.538 * [taylor]: Taking taylor expansion of 0 in lambda2 1.538 * [taylor]: Taking taylor expansion of 0 in lambda1 1.538 * [taylor]: Taking taylor expansion of 0 in lambda2 1.538 * [approximate]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.538 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 1.539 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 1.540 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 1.540 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 1.541 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 1.541 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 1.542 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 1.542 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 1.543 * [taylor]: Taking taylor expansion of 0 in phi2 1.543 * [taylor]: Taking taylor expansion of 0 in lambda1 1.543 * [taylor]: Taking taylor expansion of 0 in lambda2 1.543 * [taylor]: Taking taylor expansion of 0 in lambda1 1.543 * [taylor]: Taking taylor expansion of 0 in lambda2 1.543 * [taylor]: Taking taylor expansion of 0 in lambda2 1.543 * [taylor]: Taking taylor expansion of 0 in phi2 1.543 * [taylor]: Taking taylor expansion of 0 in lambda1 1.543 * [taylor]: Taking taylor expansion of 0 in lambda2 1.543 * [taylor]: Taking taylor expansion of 0 in lambda1 1.543 * [taylor]: Taking taylor expansion of 0 in lambda2 1.545 * [approximate]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.545 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 1.545 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 1.546 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 1.546 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 1.546 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 1.547 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 1.548 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 1.548 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 1.549 * [taylor]: Taking taylor expansion of 0 in phi2 1.549 * [taylor]: Taking taylor expansion of 0 in lambda1 1.549 * [taylor]: Taking taylor expansion of 0 in lambda2 1.549 * [taylor]: Taking taylor expansion of 0 in lambda1 1.549 * [taylor]: Taking taylor expansion of 0 in lambda2 1.549 * [taylor]: Taking taylor expansion of 0 in lambda2 1.549 * [taylor]: Taking taylor expansion of 0 in phi2 1.549 * [taylor]: Taking taylor expansion of 0 in lambda1 1.549 * [taylor]: Taking taylor expansion of 0 in lambda2 1.549 * [taylor]: Taking taylor expansion of 0 in lambda1 1.549 * [taylor]: Taking taylor expansion of 0 in lambda2 1.550 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 1.550 * [approximate]: Taking taylor expansion of (log (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.550 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in lambda2 1.550 * [taylor]: Taking 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 1.551 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in lambda1 1.551 * [taylor]: Taking 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 1.552 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in phi2 1.552 * [taylor]: Taking 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 1.553 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in phi1 1.553 * [taylor]: Taking 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 1.553 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in phi1 1.553 * [taylor]: Taking 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 1.554 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in phi2 1.554 * [taylor]: Taking 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 1.555 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in lambda1 1.555 * [taylor]: Taking 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 1.556 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in lambda2 1.556 * [taylor]: Taking 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 1.558 * [taylor]: Taking taylor expansion of 0 in phi2 1.558 * [taylor]: Taking taylor expansion of 0 in lambda1 1.558 * [taylor]: Taking taylor expansion of 0 in lambda2 1.559 * [taylor]: Taking taylor expansion of 0 in lambda1 1.559 * [taylor]: Taking taylor expansion of 0 in lambda2 1.560 * [taylor]: Taking taylor expansion of 0 in lambda2 1.564 * [taylor]: Taking taylor expansion of 0 in phi2 1.564 * [taylor]: Taking taylor expansion of 0 in lambda1 1.564 * [taylor]: Taking taylor expansion of 0 in lambda2 1.564 * [taylor]: Taking taylor expansion of 0 in lambda1 1.564 * [taylor]: Taking taylor expansion of 0 in lambda2 1.565 * [approximate]: Taking taylor expansion of (log (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.565 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in lambda2 1.565 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 1.566 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in lambda1 1.566 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 1.567 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in phi2 1.567 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 1.570 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in phi1 1.570 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 1.571 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in phi1 1.571 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 1.573 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in phi2 1.573 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 1.574 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in lambda1 1.574 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 1.575 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in lambda2 1.575 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 1.578 * [taylor]: Taking taylor expansion of 0 in phi2 1.578 * [taylor]: Taking taylor expansion of 0 in lambda1 1.578 * [taylor]: Taking taylor expansion of 0 in lambda2 1.579 * [taylor]: Taking taylor expansion of 0 in lambda1 1.579 * [taylor]: Taking taylor expansion of 0 in lambda2 1.580 * [taylor]: Taking taylor expansion of 0 in lambda2 1.583 * [taylor]: Taking taylor expansion of 0 in phi2 1.583 * [taylor]: Taking taylor expansion of 0 in lambda1 1.584 * [taylor]: Taking taylor expansion of 0 in lambda2 1.584 * [taylor]: Taking taylor expansion of 0 in lambda1 1.584 * [taylor]: Taking taylor expansion of 0 in lambda2 1.585 * [approximate]: Taking taylor expansion of (log (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.585 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in lambda2 1.585 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 1.586 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in lambda1 1.586 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 1.587 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in phi2 1.587 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 1.588 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in phi1 1.588 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 1.589 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in phi1 1.589 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 1.590 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in phi2 1.590 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 1.591 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in lambda1 1.591 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 1.592 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in lambda2 1.592 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 1.595 * [taylor]: Taking taylor expansion of 0 in phi2 1.595 * [taylor]: Taking taylor expansion of 0 in lambda1 1.595 * [taylor]: Taking taylor expansion of 0 in lambda2 1.596 * [taylor]: Taking taylor expansion of 0 in lambda1 1.596 * [taylor]: Taking taylor expansion of 0 in lambda2 1.597 * [taylor]: Taking taylor expansion of 0 in lambda2 1.601 * [taylor]: Taking taylor expansion of 0 in phi2 1.601 * [taylor]: Taking taylor expansion of 0 in lambda1 1.601 * [taylor]: Taking taylor expansion of 0 in lambda2 1.601 * [taylor]: Taking taylor expansion of 0 in lambda1 1.601 * [taylor]: Taking taylor expansion of 0 in lambda2 1.602 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1 2 2 2) 1.602 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in (lambda1 lambda2) around 0 1.602 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda2 1.602 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 1.602 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.602 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 1.602 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 1.602 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.602 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda1 1.602 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.602 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.602 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda1 1.602 * [taylor]: Taking taylor expansion of (- lambda2) in lambda1 1.603 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.603 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda1 1.603 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.603 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.603 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda1 1.603 * [taylor]: Taking taylor expansion of (- lambda2) in lambda1 1.603 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.603 * [taylor]: Taking taylor expansion of 0 in lambda2 1.605 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 1.605 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 1.605 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.609 * [taylor]: Taking taylor expansion of 0 in lambda2 1.614 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin (- lambda2)))) in lambda2 1.615 * [taylor]: Taking taylor expansion of (* 1/6 (sin (- lambda2))) in lambda2 1.615 * [taylor]: Taking taylor expansion of 1/6 in lambda2 1.615 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 1.615 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 1.615 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.623 * [taylor]: Taking taylor expansion of 0 in lambda2 1.623 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in (lambda1 lambda2) around 0 1.623 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda2 1.623 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.623 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.623 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.623 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda2 1.623 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda2 1.623 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.623 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.624 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda1 1.624 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.624 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.624 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.624 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda1 1.624 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda1 1.624 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.624 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.624 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda1 1.624 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.624 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.624 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.625 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda1 1.625 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda1 1.625 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.625 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.625 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda2 1.625 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.625 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.625 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.625 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda2 1.625 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda2 1.625 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.625 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.628 * [taylor]: Taking taylor expansion of 0 in lambda2 1.633 * [taylor]: Taking taylor expansion of 0 in lambda2 1.639 * [taylor]: Taking taylor expansion of 0 in lambda2 1.639 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in (lambda1 lambda2) around 0 1.639 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.639 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.639 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.639 * [taylor]: Taking taylor expansion of -1 in lambda2 1.639 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.639 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.639 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.639 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.640 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.640 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.640 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.640 * [taylor]: Taking taylor expansion of -1 in lambda1 1.640 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.640 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.640 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.640 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.640 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.640 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.640 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.640 * [taylor]: Taking taylor expansion of -1 in lambda1 1.640 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.641 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.641 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.641 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.641 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.641 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.641 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.641 * [taylor]: Taking taylor expansion of -1 in lambda2 1.641 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.641 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.641 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.641 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.643 * [taylor]: Taking taylor expansion of 0 in lambda2 1.647 * [taylor]: Taking taylor expansion of 0 in lambda2 1.655 * [taylor]: Taking taylor expansion of 0 in lambda2 1.655 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 1) 1.655 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 1.655 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 1.655 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 1.655 * [taylor]: Taking taylor expansion of phi1 in phi2 1.655 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.655 * [taylor]: Taking taylor expansion of phi2 in phi2 1.655 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 1.655 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 1.655 * [taylor]: Taking taylor expansion of phi1 in phi1 1.655 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 1.655 * [taylor]: Taking taylor expansion of phi2 in phi1 1.655 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 1.655 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 1.655 * [taylor]: Taking taylor expansion of phi1 in phi1 1.656 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 1.656 * [taylor]: Taking taylor expansion of phi2 in phi1 1.656 * [taylor]: Taking taylor expansion of 0 in phi2 1.658 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.658 * [taylor]: Taking taylor expansion of phi2 in phi2 1.661 * [taylor]: Taking taylor expansion of 0 in phi2 1.665 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 1.665 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 1.665 * [taylor]: Taking taylor expansion of 1/6 in phi2 1.665 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.665 * [taylor]: Taking taylor expansion of phi2 in phi2 1.671 * [taylor]: Taking taylor expansion of 0 in phi2 1.671 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 1.671 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 1.671 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 1.671 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.671 * [taylor]: Taking taylor expansion of phi1 in phi2 1.671 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 1.671 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.671 * [taylor]: Taking taylor expansion of phi2 in phi2 1.672 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 1.672 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 1.672 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.672 * [taylor]: Taking taylor expansion of phi1 in phi1 1.672 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 1.672 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.672 * [taylor]: Taking taylor expansion of phi2 in phi1 1.672 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 1.672 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 1.672 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.672 * [taylor]: Taking taylor expansion of phi1 in phi1 1.673 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 1.673 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.673 * [taylor]: Taking taylor expansion of phi2 in phi1 1.673 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 1.673 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 1.673 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.673 * [taylor]: Taking taylor expansion of phi1 in phi2 1.673 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 1.673 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.673 * [taylor]: Taking taylor expansion of phi2 in phi2 1.675 * [taylor]: Taking taylor expansion of 0 in phi2 1.679 * [taylor]: Taking taylor expansion of 0 in phi2 1.684 * [taylor]: Taking taylor expansion of 0 in phi2 1.684 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 1.685 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.685 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 1.685 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.685 * [taylor]: Taking taylor expansion of -1 in phi2 1.685 * [taylor]: Taking taylor expansion of phi1 in phi2 1.685 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 1.685 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.685 * [taylor]: Taking taylor expansion of -1 in phi2 1.685 * [taylor]: Taking taylor expansion of phi2 in phi2 1.685 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 1.685 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 1.685 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.685 * [taylor]: Taking taylor expansion of -1 in phi1 1.685 * [taylor]: Taking taylor expansion of phi1 in phi1 1.685 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 1.685 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.685 * [taylor]: Taking taylor expansion of -1 in phi1 1.685 * [taylor]: Taking taylor expansion of phi2 in phi1 1.686 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 1.686 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 1.686 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.686 * [taylor]: Taking taylor expansion of -1 in phi1 1.686 * [taylor]: Taking taylor expansion of phi1 in phi1 1.686 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 1.686 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.686 * [taylor]: Taking taylor expansion of -1 in phi1 1.686 * [taylor]: Taking taylor expansion of phi2 in phi1 1.686 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.686 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 1.686 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.686 * [taylor]: Taking taylor expansion of -1 in phi2 1.686 * [taylor]: Taking taylor expansion of phi1 in phi2 1.686 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 1.687 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.687 * [taylor]: Taking taylor expansion of -1 in phi2 1.687 * [taylor]: Taking taylor expansion of phi2 in phi2 1.689 * [taylor]: Taking taylor expansion of 0 in phi2 1.693 * [taylor]: Taking taylor expansion of 0 in phi2 1.698 * [taylor]: Taking taylor expansion of 0 in phi2 1.698 * * * [progress]: simplifying candidates 1.699 * [simplify]: Simplifying using # : (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (log (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (log (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (log (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (log (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (log 1) (log (acos (+ (* (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)))))))) (log (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (* (cbrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (cbrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (cbrt (log (acos (+ (* (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)))))))) (log (acos (+ (* (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))))))))) (sqrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (sqrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (- (cos (- lambda1 (- lambda2))) (cos (+ lambda1 (- lambda2)))) (* (sin lambda1) (sin (- lambda2))) (+ (log (sin lambda1)) (log (sin (- lambda2)))) (log (* (sin lambda1) (sin (- lambda2)))) (exp (* (sin lambda1) (sin (- lambda2)))) (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin (- lambda2)) (sin (- lambda2))) (sin (- lambda2)))) (* (cbrt (* (sin lambda1) (sin (- lambda2)))) (cbrt (* (sin lambda1) (sin (- lambda2))))) (cbrt (* (sin lambda1) (sin (- lambda2)))) (* (* (* (sin lambda1) (sin (- lambda2))) (* (sin lambda1) (sin (- lambda2)))) (* (sin lambda1) (sin (- lambda2)))) (sqrt (* (sin lambda1) (sin (- lambda2)))) (sqrt (* (sin lambda1) (sin (- lambda2)))) (* (sqrt (sin lambda1)) (sqrt (sin (- lambda2)))) (* (sqrt (sin lambda1)) (sqrt (sin (- lambda2)))) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (* (cbrt (sin (- lambda2))) (cbrt (sin (- lambda2))))) (* (sin lambda1) (sqrt (sin (- lambda2)))) (* (sin lambda1) 1) (* (cbrt (sin lambda1)) (sin (- lambda2))) (* (sqrt (sin lambda1)) (sin (- lambda2))) (* (sin lambda1) (sin (- lambda2))) (- (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)) (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) (log (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) (log (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) (log (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2)))))))) (* -1 (* lambda2 lambda1)) (* (sin lambda1) (sin (- lambda2))) (* (sin lambda1) (sin (* -1 lambda2))) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 1.704 * * [simplify]: iteration 0 : 244 enodes (cost 884 ) 1.708 * * [simplify]: iteration 1 : 734 enodes (cost 761 ) 1.720 * * [simplify]: iteration 2 : 2037 enodes (cost 737 ) 1.751 * * [simplify]: iteration 3 : 5001 enodes (cost 737 ) 1.754 * [simplify]: Simplified to: (/ 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)))))))) (* 2 (log (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (log (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (log (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (log (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) 0 (log (acos (+ (* (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)))))))) (log (log (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))))))) (* (cbrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (cbrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (cbrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (pow (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) 3) (sqrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (sqrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (- (cos (- lambda1 (- lambda2))) (cos (+ lambda1 (- lambda2)))) (* (sin lambda1) (sin (* -1 lambda2))) (log (* (sin lambda1) (sin (- lambda2)))) (log (* (sin lambda1) (sin (- lambda2)))) (exp (* (sin lambda1) (sin (- lambda2)))) (pow (* (sin lambda1) (sin (* -1 lambda2))) 3) (* (cbrt (* (sin lambda1) (sin (- lambda2)))) (cbrt (* (sin lambda1) (sin (- lambda2))))) (cbrt (* (sin lambda1) (sin (- lambda2)))) (pow (* (sin lambda1) (sin (* -1 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) (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 (* -1 lambda2))) (- (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)) (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))))))) (log (acos (+ (* (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)))))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (* -1 (* lambda2 lambda1)) (* (sin lambda1) (sin (* -1 lambda2))) (* (sin lambda1) (sin (* -1 lambda2))) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 1.754 * * * [progress]: adding candidates to table 2.121 * * [progress]: iteration 4 / 4 2.121 * * * [progress]: picking best candidate 2.232 * * * * [pick]: Picked # 2.232 * * * [progress]: localizing error 2.273 * * * [progress]: generating rewritten candidates 2.273 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1 1 1) 2.274 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 2.275 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 2.277 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1) 2.279 * * * [progress]: generating series expansions 2.279 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1 1 1) 2.280 * [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 2.280 * [taylor]: Taking 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 2.280 * [taylor]: Taking 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 2.280 * [taylor]: Taking 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 2.281 * [taylor]: Taking 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 2.281 * [taylor]: Taking 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 2.282 * [taylor]: Taking 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 2.282 * [taylor]: Taking 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 2.282 * [taylor]: Taking 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 2.283 * [taylor]: Taking taylor expansion of 0 in phi2 2.283 * [taylor]: Taking taylor expansion of 0 in lambda1 2.283 * [taylor]: Taking taylor expansion of 0 in lambda2 2.283 * [taylor]: Taking taylor expansion of 0 in lambda1 2.283 * [taylor]: Taking taylor expansion of 0 in lambda2 2.283 * [taylor]: Taking taylor expansion of 0 in lambda2 2.283 * [taylor]: Taking taylor expansion of 0 in phi2 2.283 * [taylor]: Taking taylor expansion of 0 in lambda1 2.283 * [taylor]: Taking taylor expansion of 0 in lambda2 2.283 * [taylor]: Taking taylor expansion of 0 in lambda1 2.283 * [taylor]: Taking taylor expansion of 0 in lambda2 2.284 * [approximate]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.284 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 2.285 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 2.285 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 2.286 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 2.288 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 2.289 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 2.289 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 2.290 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 2.291 * [taylor]: Taking taylor expansion of 0 in phi2 2.291 * [taylor]: Taking taylor expansion of 0 in lambda1 2.291 * [taylor]: Taking taylor expansion of 0 in lambda2 2.291 * [taylor]: Taking taylor expansion of 0 in lambda1 2.291 * [taylor]: Taking taylor expansion of 0 in lambda2 2.291 * [taylor]: Taking taylor expansion of 0 in lambda2 2.291 * [taylor]: Taking taylor expansion of 0 in phi2 2.291 * [taylor]: Taking taylor expansion of 0 in lambda1 2.291 * [taylor]: Taking taylor expansion of 0 in lambda2 2.291 * [taylor]: Taking taylor expansion of 0 in lambda1 2.291 * [taylor]: Taking taylor expansion of 0 in lambda2 2.292 * [approximate]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.292 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 2.293 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 2.293 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 2.294 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 2.294 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 2.295 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 2.295 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 2.296 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 2.297 * [taylor]: Taking taylor expansion of 0 in phi2 2.297 * [taylor]: Taking taylor expansion of 0 in lambda1 2.297 * [taylor]: Taking taylor expansion of 0 in lambda2 2.297 * [taylor]: Taking taylor expansion of 0 in lambda1 2.297 * [taylor]: Taking taylor expansion of 0 in lambda2 2.297 * [taylor]: Taking taylor expansion of 0 in lambda2 2.297 * [taylor]: Taking taylor expansion of 0 in phi2 2.297 * [taylor]: Taking taylor expansion of 0 in lambda1 2.297 * [taylor]: Taking taylor expansion of 0 in lambda2 2.297 * [taylor]: Taking taylor expansion of 0 in lambda1 2.297 * [taylor]: Taking taylor expansion of 0 in lambda2 2.298 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 2.298 * [approximate]: Taking taylor expansion of (log (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.299 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in lambda2 2.299 * [taylor]: Taking 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 2.299 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in lambda1 2.299 * [taylor]: Taking 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 2.300 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in phi2 2.300 * [taylor]: Taking 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 2.301 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in phi1 2.301 * [taylor]: Taking 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 2.302 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in phi1 2.302 * [taylor]: Taking 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 2.302 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in phi2 2.302 * [taylor]: Taking 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 2.303 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in lambda1 2.303 * [taylor]: Taking 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 2.304 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in lambda2 2.304 * [taylor]: Taking 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 2.306 * [taylor]: Taking taylor expansion of 0 in phi2 2.306 * [taylor]: Taking taylor expansion of 0 in lambda1 2.306 * [taylor]: Taking taylor expansion of 0 in lambda2 2.307 * [taylor]: Taking taylor expansion of 0 in lambda1 2.307 * [taylor]: Taking taylor expansion of 0 in lambda2 2.308 * [taylor]: Taking taylor expansion of 0 in lambda2 2.312 * [taylor]: Taking taylor expansion of 0 in phi2 2.312 * [taylor]: Taking taylor expansion of 0 in lambda1 2.312 * [taylor]: Taking taylor expansion of 0 in lambda2 2.312 * [taylor]: Taking taylor expansion of 0 in lambda1 2.312 * [taylor]: Taking taylor expansion of 0 in lambda2 2.313 * [approximate]: Taking taylor expansion of (log (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.313 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in lambda2 2.313 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 2.314 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in lambda1 2.314 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 2.315 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in phi2 2.315 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 2.316 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in phi1 2.316 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 2.317 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in phi1 2.317 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 2.318 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in phi2 2.318 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 2.319 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in lambda1 2.319 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 2.320 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in lambda2 2.320 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 2.323 * [taylor]: Taking taylor expansion of 0 in phi2 2.323 * [taylor]: Taking taylor expansion of 0 in lambda1 2.323 * [taylor]: Taking taylor expansion of 0 in lambda2 2.324 * [taylor]: Taking taylor expansion of 0 in lambda1 2.324 * [taylor]: Taking taylor expansion of 0 in lambda2 2.325 * [taylor]: Taking taylor expansion of 0 in lambda2 2.329 * [taylor]: Taking taylor expansion of 0 in phi2 2.329 * [taylor]: Taking taylor expansion of 0 in lambda1 2.329 * [taylor]: Taking taylor expansion of 0 in lambda2 2.329 * [taylor]: Taking taylor expansion of 0 in lambda1 2.329 * [taylor]: Taking taylor expansion of 0 in lambda2 2.330 * [approximate]: Taking taylor expansion of (log (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.330 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in lambda2 2.330 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 2.331 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in lambda1 2.331 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 2.332 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in phi2 2.332 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 2.333 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in phi1 2.333 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 2.334 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in phi1 2.334 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 2.335 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in phi2 2.335 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 2.336 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in lambda1 2.336 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 2.337 * [taylor]: Taking taylor expansion of (log (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in lambda2 2.337 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 2.340 * [taylor]: Taking taylor expansion of 0 in phi2 2.340 * [taylor]: Taking taylor expansion of 0 in lambda1 2.340 * [taylor]: Taking taylor expansion of 0 in lambda2 2.341 * [taylor]: Taking taylor expansion of 0 in lambda1 2.341 * [taylor]: Taking taylor expansion of 0 in lambda2 2.342 * [taylor]: Taking taylor expansion of 0 in lambda2 2.345 * [taylor]: Taking taylor expansion of 0 in phi2 2.345 * [taylor]: Taking taylor expansion of 0 in lambda1 2.345 * [taylor]: Taking taylor expansion of 0 in lambda2 2.345 * [taylor]: Taking taylor expansion of 0 in lambda1 2.345 * [taylor]: Taking taylor expansion of 0 in lambda2 2.346 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 2.347 * [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 2.347 * [taylor]: Taking 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 2.347 * [taylor]: Taking 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 2.347 * [taylor]: Taking 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 2.348 * [taylor]: Taking 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 2.348 * [taylor]: Taking 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 2.348 * [taylor]: Taking 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 2.349 * [taylor]: Taking 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 2.349 * [taylor]: Taking 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 2.350 * [taylor]: Taking taylor expansion of 0 in phi2 2.350 * [taylor]: Taking taylor expansion of 0 in lambda1 2.350 * [taylor]: Taking taylor expansion of 0 in lambda2 2.350 * [taylor]: Taking taylor expansion of 0 in lambda1 2.350 * [taylor]: Taking taylor expansion of 0 in lambda2 2.350 * [taylor]: Taking taylor expansion of 0 in lambda2 2.350 * [taylor]: Taking taylor expansion of 0 in phi2 2.350 * [taylor]: Taking taylor expansion of 0 in lambda1 2.350 * [taylor]: Taking taylor expansion of 0 in lambda2 2.350 * [taylor]: Taking taylor expansion of 0 in lambda1 2.350 * [taylor]: Taking taylor expansion of 0 in lambda2 2.351 * [approximate]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.351 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 2.352 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 2.352 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 2.353 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 2.353 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 2.354 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 2.354 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 2.355 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 2.356 * [taylor]: Taking taylor expansion of 0 in phi2 2.356 * [taylor]: Taking taylor expansion of 0 in lambda1 2.356 * [taylor]: Taking taylor expansion of 0 in lambda2 2.356 * [taylor]: Taking taylor expansion of 0 in lambda1 2.356 * [taylor]: Taking taylor expansion of 0 in lambda2 2.356 * [taylor]: Taking taylor expansion of 0 in lambda2 2.356 * [taylor]: Taking taylor expansion of 0 in phi2 2.356 * [taylor]: Taking taylor expansion of 0 in lambda1 2.356 * [taylor]: Taking taylor expansion of 0 in lambda2 2.356 * [taylor]: Taking taylor expansion of 0 in lambda1 2.356 * [taylor]: Taking taylor expansion of 0 in lambda2 2.357 * [approximate]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.358 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 2.358 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 2.358 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 2.359 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 2.359 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 2.360 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 2.360 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 2.361 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 2.362 * [taylor]: Taking taylor expansion of 0 in phi2 2.362 * [taylor]: Taking taylor expansion of 0 in lambda1 2.362 * [taylor]: Taking taylor expansion of 0 in lambda2 2.362 * [taylor]: Taking taylor expansion of 0 in lambda1 2.362 * [taylor]: Taking taylor expansion of 0 in lambda2 2.362 * [taylor]: Taking taylor expansion of 0 in lambda2 2.362 * [taylor]: Taking taylor expansion of 0 in phi2 2.362 * [taylor]: Taking taylor expansion of 0 in lambda1 2.362 * [taylor]: Taking taylor expansion of 0 in lambda2 2.362 * [taylor]: Taking taylor expansion of 0 in lambda1 2.362 * [taylor]: Taking taylor expansion of 0 in lambda2 2.363 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1) 2.363 * [approximate]: Taking taylor expansion of (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.363 * [taylor]: Taking taylor expansion of (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in lambda2 2.363 * [taylor]: Taking 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 2.364 * [taylor]: Taking taylor expansion of (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in lambda1 2.364 * [taylor]: Taking 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 2.365 * [taylor]: Taking taylor expansion of (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in phi2 2.365 * [taylor]: Taking 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 2.366 * [taylor]: Taking taylor expansion of (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in phi1 2.366 * [taylor]: Taking 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 2.366 * [taylor]: Taking taylor expansion of (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in phi1 2.366 * [taylor]: Taking 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 2.367 * [taylor]: Taking taylor expansion of (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in phi2 2.367 * [taylor]: Taking 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 2.370 * [taylor]: Taking taylor expansion of (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in lambda1 2.370 * [taylor]: Taking 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 2.371 * [taylor]: Taking taylor expansion of (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in lambda2 2.371 * [taylor]: Taking 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 2.373 * [taylor]: Taking taylor expansion of 0 in phi2 2.373 * [taylor]: Taking taylor expansion of 0 in lambda1 2.373 * [taylor]: Taking taylor expansion of 0 in lambda2 2.374 * [taylor]: Taking taylor expansion of 0 in lambda1 2.374 * [taylor]: Taking taylor expansion of 0 in lambda2 2.375 * [taylor]: Taking taylor expansion of 0 in lambda2 2.377 * [taylor]: Taking taylor expansion of 0 in phi2 2.377 * [taylor]: Taking taylor expansion of 0 in lambda1 2.377 * [taylor]: Taking taylor expansion of 0 in lambda2 2.377 * [taylor]: Taking taylor expansion of 0 in lambda1 2.377 * [taylor]: Taking taylor expansion of 0 in lambda2 2.378 * [approximate]: Taking taylor expansion of (exp (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.378 * [taylor]: Taking taylor expansion of (exp (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in lambda2 2.378 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 2.379 * [taylor]: Taking taylor expansion of (exp (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in lambda1 2.380 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 2.381 * [taylor]: Taking taylor expansion of (exp (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in phi2 2.381 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 2.382 * [taylor]: Taking taylor expansion of (exp (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in phi1 2.382 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 2.383 * [taylor]: Taking taylor expansion of (exp (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in phi1 2.383 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 2.384 * [taylor]: Taking taylor expansion of (exp (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in phi2 2.384 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 2.385 * [taylor]: Taking taylor expansion of (exp (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in lambda1 2.385 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 2.386 * [taylor]: Taking taylor expansion of (exp (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in lambda2 2.386 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 2.388 * [taylor]: Taking taylor expansion of 0 in phi2 2.389 * [taylor]: Taking taylor expansion of 0 in lambda1 2.389 * [taylor]: Taking taylor expansion of 0 in lambda2 2.390 * [taylor]: Taking taylor expansion of 0 in lambda1 2.390 * [taylor]: Taking taylor expansion of 0 in lambda2 2.391 * [taylor]: Taking taylor expansion of 0 in lambda2 2.393 * [taylor]: Taking taylor expansion of 0 in phi2 2.393 * [taylor]: Taking taylor expansion of 0 in lambda1 2.393 * [taylor]: Taking taylor expansion of 0 in lambda2 2.393 * [taylor]: Taking taylor expansion of 0 in lambda1 2.393 * [taylor]: Taking taylor expansion of 0 in lambda2 2.394 * [approximate]: Taking taylor expansion of (exp (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.394 * [taylor]: Taking taylor expansion of (exp (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in lambda2 2.395 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 2.395 * [taylor]: Taking taylor expansion of (exp (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in lambda1 2.396 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 2.396 * [taylor]: Taking taylor expansion of (exp (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in phi2 2.397 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 2.397 * [taylor]: Taking taylor expansion of (exp (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in phi1 2.397 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 2.399 * [taylor]: Taking taylor expansion of (exp (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in phi1 2.399 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 2.400 * [taylor]: Taking taylor expansion of (exp (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in phi2 2.400 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 2.401 * [taylor]: Taking taylor expansion of (exp (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in lambda1 2.401 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 2.402 * [taylor]: Taking taylor expansion of (exp (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in lambda2 2.402 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 2.405 * [taylor]: Taking taylor expansion of 0 in phi2 2.405 * [taylor]: Taking taylor expansion of 0 in lambda1 2.405 * [taylor]: Taking taylor expansion of 0 in lambda2 2.406 * [taylor]: Taking taylor expansion of 0 in lambda1 2.406 * [taylor]: Taking taylor expansion of 0 in lambda2 2.407 * [taylor]: Taking taylor expansion of 0 in lambda2 2.409 * [taylor]: Taking taylor expansion of 0 in phi2 2.409 * [taylor]: Taking taylor expansion of 0 in lambda1 2.409 * [taylor]: Taking taylor expansion of 0 in lambda2 2.409 * [taylor]: Taking taylor expansion of 0 in lambda1 2.409 * [taylor]: Taking taylor expansion of 0 in lambda2 2.410 * * * [progress]: simplifying candidates 2.411 * [simplify]: Simplifying using # : (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (log 1) (log (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (log (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (log (log (exp (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))))) (log (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (log (log (exp (sqrt (acos (+ (* (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)))))))) (log (log (exp 1))) (log (* (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))))) (log (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))))) (log (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))))) (log (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))))) (log 1) (log (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (log (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (log (log (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))))) (exp (log (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))))) (* (cbrt (log (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))))) (cbrt (log (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))))) (cbrt (log (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))))) (* (* (log (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (log (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))))) (log (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))))) (sqrt (log (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))))) (sqrt (log (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))))) (log (* (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))))) (log (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (log (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (log (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (log 1) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (log (exp (/ PI 2))) (log (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (log (exp (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))))) (log (exp (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (log (exp 1)) (log (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (exp (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (* (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))))) (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (* (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (exp (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (exp (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (exp 1) (exp (/ PI 2)) (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (exp (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (* (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (* (* (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) (log (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) (log (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) (log (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2)))))))) (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2)))))))) 2.418 * * [simplify]: iteration 0 : 151 enodes (cost 1583 ) 2.420 * * [simplify]: iteration 1 : 277 enodes (cost 1371 ) 2.424 * * [simplify]: iteration 2 : 569 enodes (cost 1323 ) 2.432 * * [simplify]: iteration 3 : 1009 enodes (cost 1323 ) 2.445 * * [simplify]: iteration 4 : 1621 enodes (cost 1323 ) 2.461 * * [simplify]: iteration 5 : 2620 enodes (cost 1323 ) 2.492 * * [simplify]: iteration 6 : 5001 enodes (cost 1323 ) 2.496 * [simplify]: Simplified to: (/ 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 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(* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) 0 (* 2 (log (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))))) (log (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (log (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (log (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) 0 (log (acos (+ (* (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 (- 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(* (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)))))))) (exp (* (cbrt 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(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))))))) (log (acos (+ (* (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)))))))) (log (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))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) 2.497 * * * [progress]: adding candidates to table 2.800 * [progress]: [Phase 3 of 3] Extracting. 2.800 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # # # # # # # #) 2.830 * * * [regime-changes]: Trying 7 branch expressions: ((- lambda1 lambda2) (cos (- lambda1 lambda2)) phi2 phi1 lambda2 lambda1 R) 2.830 * * * * [regimes]: Trying to branch on (- lambda1 lambda2) from (# # # # # # # # # # # # # # # # # # # # #) 2.974 * * * * [regimes]: Trying to branch on (- lambda1 lambda2) from (# #) 2.994 * * * * [regimes]: Trying to branch on (cos (- lambda1 lambda2)) from (# # # # # # # # # # # # # # # # # # # # #) 3.141 * * * * [regimes]: Trying to branch on (cos (- lambda1 lambda2)) from (# #) 3.165 * * * * [regimes]: Trying to branch on phi2 from (# # # # # # # # # # # # # # # # # # # # #) 3.312 * * * * [regimes]: Trying to branch on phi1 from (# # # # # # # # # # # # # # # # # # # # #) 3.455 * * * * [regimes]: Trying to branch on lambda2 from (# # # # # # # # # # # # # # # # # # # # #) 3.601 * * * * [regimes]: Trying to branch on lambda1 from (# # # # # # # # # # # # # # # # # # # # #) 3.746 * * * * [regimes]: Trying to branch on R from (# # # # # # # # # # # # # # # # # # # # #) 3.892 * * * [regime]: Found split indices: #