0.002 * [progress]: [Phase 1 of 3] Setting up.
0.003 * * * [progress]: [1/2] Preparing points
1.122 * * * [progress]: [2/2] Setting up program.
1.165 * [progress]: [Phase 2 of 3] Improving.
1.165 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
1.167 * [simplify]: Simplifying (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)
1.168 * * [simplify]: iteration 1: (17 enodes)
1.179 * * [simplify]: iteration 2: (60 enodes)
1.193 * * [simplify]: iteration 3: (71 enodes)
1.207 * * [simplify]: iteration 4: (76 enodes)
1.222 * * [simplify]: Extracting #0: cost 1 inf + 0
1.222 * * [simplify]: Extracting #1: cost 4 inf + 0
1.223 * * [simplify]: Extracting #2: cost 5 inf + 1
1.223 * * [simplify]: Extracting #3: cost 8 inf + 1
1.223 * * [simplify]: Extracting #4: cost 18 inf + 1
1.223 * * [simplify]: Extracting #5: cost 29 inf + 1
1.223 * * [simplify]: Extracting #6: cost 25 inf + 369
1.223 * * [simplify]: Extracting #7: cost 19 inf + 979
1.224 * * [simplify]: Extracting #8: cost 9 inf + 2522
1.226 * * [simplify]: Extracting #9: cost 0 inf + 6397
1.227 * [simplify]: Simplified to (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))
1.228 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
1.228 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))))
1.241 * * [progress]: iteration 1 / 4
1.241 * * * [progress]: picking best candidate
1.247 * * * * [pick]: Picked  #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
1.247 * * * [progress]: localizing error
1.307 * * * [progress]: generating rewritten candidates
1.308 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2)
1.327 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
1.331 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
1.343 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1)
1.371 * * * [progress]: generating series expansions
1.371 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2)
1.376 * [backup-simplify]: Simplify (cos (- lambda1 lambda2)) into (cos (- lambda1 lambda2))
1.376 * [approximate]: Taking taylor expansion of (cos (- lambda1 lambda2)) in (lambda1 lambda2) around 0
1.377 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2
1.377 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2
1.377 * [taylor]: Taking taylor expansion of lambda1 in lambda2
1.377 * [backup-simplify]: Simplify lambda1 into lambda1
1.377 * [taylor]: Taking taylor expansion of lambda2 in lambda2
1.377 * [backup-simplify]: Simplify 0 into 0
1.377 * [backup-simplify]: Simplify 1 into 1
1.378 * [backup-simplify]: Simplify (- 0) into 0
1.378 * [backup-simplify]: Simplify (+ lambda1 0) into lambda1
1.379 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1)
1.379 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1)
1.379 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1
1.379 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1
1.379 * [taylor]: Taking taylor expansion of lambda1 in lambda1
1.379 * [backup-simplify]: Simplify 0 into 0
1.379 * [backup-simplify]: Simplify 1 into 1
1.379 * [taylor]: Taking taylor expansion of lambda2 in lambda1
1.379 * [backup-simplify]: Simplify lambda2 into lambda2
1.379 * [backup-simplify]: Simplify (- lambda2) into (- lambda2)
1.379 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2)
1.379 * [backup-simplify]: Simplify (cos (- lambda2)) into (cos (- lambda2))
1.379 * [backup-simplify]: Simplify (sin (- lambda2)) into (sin (- lambda2))
1.379 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1
1.379 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1
1.379 * [taylor]: Taking taylor expansion of lambda1 in lambda1
1.379 * [backup-simplify]: Simplify 0 into 0
1.379 * [backup-simplify]: Simplify 1 into 1
1.379 * [taylor]: Taking taylor expansion of lambda2 in lambda1
1.379 * [backup-simplify]: Simplify lambda2 into lambda2
1.379 * [backup-simplify]: Simplify (- lambda2) into (- lambda2)
1.379 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2)
1.379 * [backup-simplify]: Simplify (cos (- lambda2)) into (cos (- lambda2))
1.380 * [backup-simplify]: Simplify (sin (- lambda2)) into (sin (- lambda2))
1.382 * [backup-simplify]: Simplify (* (cos (- lambda2)) 1) into (cos (- lambda2))
1.383 * [backup-simplify]: Simplify (* (sin (- lambda2)) 0) into 0
1.383 * [backup-simplify]: Simplify (- 0) into 0
1.383 * [backup-simplify]: Simplify (+ (cos (- lambda2)) 0) into (cos (- lambda2))
1.383 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2
1.383 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2
1.383 * [taylor]: Taking taylor expansion of lambda2 in lambda2
1.383 * [backup-simplify]: Simplify 0 into 0
1.384 * [backup-simplify]: Simplify 1 into 1
1.384 * [backup-simplify]: Simplify (- 0) into 0
1.384 * [backup-simplify]: Simplify (- 1) into -1
1.384 * [backup-simplify]: Simplify 1 into 1
1.386 * [backup-simplify]: Simplify (+ 0) into 0
1.387 * [backup-simplify]: Simplify (+ (* (cos (- lambda2)) 0) (* 0 1)) into 0
1.387 * [backup-simplify]: Simplify (- 0) into 0
1.388 * [backup-simplify]: Simplify (+ 1 0) into 1
1.389 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
1.389 * [backup-simplify]: Simplify (+ (* (sin (- lambda2)) 1) (* 0 0)) into (sin (- lambda2))
1.389 * [backup-simplify]: Simplify (- (sin (- lambda2))) into (- (sin (- lambda2)))
1.389 * [backup-simplify]: Simplify (+ 0 (- (sin (- lambda2)))) into (- (sin (- lambda2)))
1.389 * [taylor]: Taking taylor expansion of (- (sin (- lambda2))) in lambda2
1.389 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2
1.389 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2
1.389 * [taylor]: Taking taylor expansion of lambda2 in lambda2
1.389 * [backup-simplify]: Simplify 0 into 0
1.389 * [backup-simplify]: Simplify 1 into 1
1.390 * [backup-simplify]: Simplify (- 0) into 0
1.390 * [backup-simplify]: Simplify (- 1) into -1
1.391 * [backup-simplify]: Simplify (- 0) into 0
1.391 * [backup-simplify]: Simplify 0 into 0
1.391 * [backup-simplify]: Simplify (+ 0) into 0
1.391 * [backup-simplify]: Simplify 0 into 0
1.392 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
1.394 * [backup-simplify]: Simplify (+ (* (cos (- lambda2)) -1/2) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (cos (- lambda2))))
1.394 * [backup-simplify]: Simplify (- 0) into 0
1.394 * [backup-simplify]: Simplify (+ 0 0) into 0
1.395 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.396 * [backup-simplify]: Simplify (+ (* (sin (- lambda2)) 0) (+ (* 0 1) (* 0 0))) into 0
1.396 * [backup-simplify]: Simplify (- 0) into 0
1.396 * [backup-simplify]: Simplify (+ (- (* 1/2 (cos (- lambda2)))) 0) into (- (* 1/2 (cos (- lambda2))))
1.396 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda2)))) in lambda2
1.396 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda2))) in lambda2
1.396 * [taylor]: Taking taylor expansion of 1/2 in lambda2
1.397 * [backup-simplify]: Simplify 1/2 into 1/2
1.397 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2
1.397 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2
1.397 * [taylor]: Taking taylor expansion of lambda2 in lambda2
1.397 * [backup-simplify]: Simplify 0 into 0
1.397 * [backup-simplify]: Simplify 1 into 1
1.397 * [backup-simplify]: Simplify (- 0) into 0
1.397 * [backup-simplify]: Simplify (- 1) into -1
1.398 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1.398 * [backup-simplify]: Simplify (- 1/2) into -1/2
1.398 * [backup-simplify]: Simplify -1/2 into -1/2
1.399 * [backup-simplify]: Simplify (- 1) into -1
1.400 * [backup-simplify]: Simplify (+ (* 1 (/ (pow -1 1) 1))) into -1
1.400 * [backup-simplify]: Simplify (- -1) into 1
1.400 * [backup-simplify]: Simplify 1 into 1
1.401 * [backup-simplify]: Simplify (+ (* 1 (* lambda2 lambda1)) (+ (* -1/2 (pow (* 1 lambda1) 2)) 1)) into (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2)))
1.401 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2)))
1.401 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in (lambda1 lambda2) around 0
1.401 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2
1.401 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2
1.401 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2
1.401 * [taylor]: Taking taylor expansion of lambda1 in lambda2
1.401 * [backup-simplify]: Simplify lambda1 into lambda1
1.402 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
1.402 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
1.402 * [taylor]: Taking taylor expansion of lambda2 in lambda2
1.402 * [backup-simplify]: Simplify 0 into 0
1.402 * [backup-simplify]: Simplify 1 into 1
1.402 * [backup-simplify]: Simplify (/ 1 1) into 1
1.403 * [backup-simplify]: Simplify (- 1) into -1
1.410 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.410 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2)))
1.410 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1
1.410 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1
1.410 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
1.410 * [taylor]: Taking taylor expansion of lambda1 in lambda1
1.410 * [backup-simplify]: Simplify 0 into 0
1.410 * [backup-simplify]: Simplify 1 into 1
1.411 * [backup-simplify]: Simplify (/ 1 1) into 1
1.411 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
1.411 * [taylor]: Taking taylor expansion of lambda2 in lambda1
1.411 * [backup-simplify]: Simplify lambda2 into lambda2
1.411 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
1.411 * [backup-simplify]: Simplify (+ 1 0) into 1
1.411 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2)))
1.411 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1
1.411 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1
1.411 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
1.412 * [taylor]: Taking taylor expansion of lambda1 in lambda1
1.412 * [backup-simplify]: Simplify 0 into 0
1.412 * [backup-simplify]: Simplify 1 into 1
1.412 * [backup-simplify]: Simplify (/ 1 1) into 1
1.412 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
1.412 * [taylor]: Taking taylor expansion of lambda2 in lambda1
1.412 * [backup-simplify]: Simplify lambda2 into lambda2
1.412 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
1.412 * [backup-simplify]: Simplify (+ 1 0) into 1
1.412 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2)))
1.412 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2
1.412 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2
1.412 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2
1.413 * [taylor]: Taking taylor expansion of lambda1 in lambda2
1.413 * [backup-simplify]: Simplify lambda1 into lambda1
1.413 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
1.413 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
1.413 * [taylor]: Taking taylor expansion of lambda2 in lambda2
1.413 * [backup-simplify]: Simplify 0 into 0
1.413 * [backup-simplify]: Simplify 1 into 1
1.413 * [backup-simplify]: Simplify (/ 1 1) into 1
1.413 * [backup-simplify]: Simplify (- 1) into -1
1.413 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.414 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2)))
1.414 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2)))
1.414 * [taylor]: Taking taylor expansion of 0 in lambda2
1.414 * [backup-simplify]: Simplify 0 into 0
1.414 * [backup-simplify]: Simplify 0 into 0
1.414 * [backup-simplify]: Simplify 0 into 0
1.414 * [taylor]: Taking taylor expansion of 0 in lambda2
1.414 * [backup-simplify]: Simplify 0 into 0
1.414 * [backup-simplify]: Simplify 0 into 0
1.414 * [backup-simplify]: Simplify 0 into 0
1.414 * [backup-simplify]: Simplify 0 into 0
1.414 * [taylor]: Taking taylor expansion of 0 in lambda2
1.414 * [backup-simplify]: Simplify 0 into 0
1.414 * [backup-simplify]: Simplify 0 into 0
1.414 * [backup-simplify]: Simplify (cos (- (/ 1 (/ 1 lambda1)) (/ 1 (/ 1 lambda2)))) into (cos (- lambda1 lambda2))
1.414 * [backup-simplify]: Simplify (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) into (cos (- (/ 1 lambda2) (/ 1 lambda1)))
1.414 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in (lambda1 lambda2) around 0
1.414 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2
1.414 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2
1.414 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
1.414 * [taylor]: Taking taylor expansion of lambda2 in lambda2
1.414 * [backup-simplify]: Simplify 0 into 0
1.414 * [backup-simplify]: Simplify 1 into 1
1.415 * [backup-simplify]: Simplify (/ 1 1) into 1
1.415 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2
1.415 * [taylor]: Taking taylor expansion of lambda1 in lambda2
1.415 * [backup-simplify]: Simplify lambda1 into lambda1
1.415 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
1.415 * [backup-simplify]: Simplify (+ 1 0) into 1
1.415 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1)))
1.415 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1
1.415 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1
1.415 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
1.415 * [taylor]: Taking taylor expansion of lambda2 in lambda1
1.415 * [backup-simplify]: Simplify lambda2 into lambda2
1.415 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
1.415 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
1.415 * [taylor]: Taking taylor expansion of lambda1 in lambda1
1.415 * [backup-simplify]: Simplify 0 into 0
1.415 * [backup-simplify]: Simplify 1 into 1
1.416 * [backup-simplify]: Simplify (/ 1 1) into 1
1.416 * [backup-simplify]: Simplify (- 1) into -1
1.416 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.416 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1)))
1.416 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1
1.416 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1
1.416 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
1.416 * [taylor]: Taking taylor expansion of lambda2 in lambda1
1.416 * [backup-simplify]: Simplify lambda2 into lambda2
1.417 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
1.417 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
1.417 * [taylor]: Taking taylor expansion of lambda1 in lambda1
1.417 * [backup-simplify]: Simplify 0 into 0
1.417 * [backup-simplify]: Simplify 1 into 1
1.417 * [backup-simplify]: Simplify (/ 1 1) into 1
1.417 * [backup-simplify]: Simplify (- 1) into -1
1.417 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.417 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1)))
1.418 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2
1.418 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2
1.418 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
1.418 * [taylor]: Taking taylor expansion of lambda2 in lambda2
1.418 * [backup-simplify]: Simplify 0 into 0
1.418 * [backup-simplify]: Simplify 1 into 1
1.418 * [backup-simplify]: Simplify (/ 1 1) into 1
1.418 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2
1.418 * [taylor]: Taking taylor expansion of lambda1 in lambda2
1.418 * [backup-simplify]: Simplify lambda1 into lambda1
1.418 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
1.418 * [backup-simplify]: Simplify (+ 1 0) into 1
1.418 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1)))
1.418 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1)))
1.418 * [taylor]: Taking taylor expansion of 0 in lambda2
1.419 * [backup-simplify]: Simplify 0 into 0
1.419 * [backup-simplify]: Simplify 0 into 0
1.419 * [backup-simplify]: Simplify 0 into 0
1.419 * [taylor]: Taking taylor expansion of 0 in lambda2
1.419 * [backup-simplify]: Simplify 0 into 0
1.419 * [backup-simplify]: Simplify 0 into 0
1.419 * [backup-simplify]: Simplify 0 into 0
1.419 * [backup-simplify]: Simplify 0 into 0
1.419 * [taylor]: Taking taylor expansion of 0 in lambda2
1.419 * [backup-simplify]: Simplify 0 into 0
1.419 * [backup-simplify]: Simplify 0 into 0
1.419 * [backup-simplify]: Simplify (cos (- (/ 1 (/ 1 (- lambda2))) (/ 1 (/ 1 (- lambda1))))) into (cos (- lambda1 lambda2))
1.419 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
1.419 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
1.419 * [approximate]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in (phi1 phi2 lambda1 lambda2) around 0
1.419 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda2
1.421 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
1.421 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda1
1.421 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
1.421 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi2
1.421 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
1.421 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi1
1.422 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
1.422 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi1
1.422 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
1.422 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi2
1.422 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
1.422 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda1
1.422 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
1.422 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda2
1.422 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
1.423 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
1.423 * [taylor]: Taking taylor expansion of 0 in phi2
1.423 * [backup-simplify]: Simplify 0 into 0
1.423 * [taylor]: Taking taylor expansion of 0 in lambda1
1.423 * [backup-simplify]: Simplify 0 into 0
1.423 * [taylor]: Taking taylor expansion of 0 in lambda2
1.423 * [backup-simplify]: Simplify 0 into 0
1.423 * [backup-simplify]: Simplify 0 into 0
1.423 * [taylor]: Taking taylor expansion of 0 in lambda1
1.423 * [backup-simplify]: Simplify 0 into 0
1.423 * [taylor]: Taking taylor expansion of 0 in lambda2
1.423 * [backup-simplify]: Simplify 0 into 0
1.423 * [backup-simplify]: Simplify 0 into 0
1.423 * [taylor]: Taking taylor expansion of 0 in lambda2
1.423 * [backup-simplify]: Simplify 0 into 0
1.423 * [backup-simplify]: Simplify 0 into 0
1.423 * [backup-simplify]: Simplify 0 into 0
1.423 * [taylor]: Taking taylor expansion of 0 in phi2
1.423 * [backup-simplify]: Simplify 0 into 0
1.423 * [taylor]: Taking taylor expansion of 0 in lambda1
1.423 * [backup-simplify]: Simplify 0 into 0
1.423 * [taylor]: Taking taylor expansion of 0 in lambda2
1.423 * [backup-simplify]: Simplify 0 into 0
1.423 * [backup-simplify]: Simplify 0 into 0
1.423 * [taylor]: Taking taylor expansion of 0 in lambda1
1.423 * [backup-simplify]: Simplify 0 into 0
1.423 * [taylor]: Taking taylor expansion of 0 in lambda2
1.423 * [backup-simplify]: Simplify 0 into 0
1.423 * [backup-simplify]: Simplify 0 into 0
1.423 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
1.424 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
1.424 * [approximate]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in (phi1 phi2 lambda1 lambda2) around 0
1.424 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in lambda2
1.424 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
1.424 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in lambda1
1.424 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
1.424 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in phi2
1.424 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
1.424 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in phi1
1.425 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
1.425 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in phi1
1.425 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
1.425 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in phi2
1.425 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
1.425 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in lambda1
1.425 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
1.425 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in lambda2
1.426 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
1.426 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
1.426 * [taylor]: Taking taylor expansion of 0 in phi2
1.426 * [backup-simplify]: Simplify 0 into 0
1.426 * [taylor]: Taking taylor expansion of 0 in lambda1
1.426 * [backup-simplify]: Simplify 0 into 0
1.426 * [taylor]: Taking taylor expansion of 0 in lambda2
1.426 * [backup-simplify]: Simplify 0 into 0
1.426 * [backup-simplify]: Simplify 0 into 0
1.426 * [taylor]: Taking taylor expansion of 0 in lambda1
1.426 * [backup-simplify]: Simplify 0 into 0
1.426 * [taylor]: Taking taylor expansion of 0 in lambda2
1.426 * [backup-simplify]: Simplify 0 into 0
1.426 * [backup-simplify]: Simplify 0 into 0
1.426 * [taylor]: Taking taylor expansion of 0 in lambda2
1.426 * [backup-simplify]: Simplify 0 into 0
1.426 * [backup-simplify]: Simplify 0 into 0
1.426 * [backup-simplify]: Simplify 0 into 0
1.426 * [taylor]: Taking taylor expansion of 0 in phi2
1.426 * [backup-simplify]: Simplify 0 into 0
1.426 * [taylor]: Taking taylor expansion of 0 in lambda1
1.426 * [backup-simplify]: Simplify 0 into 0
1.426 * [taylor]: Taking taylor expansion of 0 in lambda2
1.426 * [backup-simplify]: Simplify 0 into 0
1.426 * [backup-simplify]: Simplify 0 into 0
1.426 * [taylor]: Taking taylor expansion of 0 in lambda1
1.426 * [backup-simplify]: Simplify 0 into 0
1.426 * [taylor]: Taking taylor expansion of 0 in lambda2
1.426 * [backup-simplify]: Simplify 0 into 0
1.426 * [backup-simplify]: Simplify 0 into 0
1.427 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (- (/ 1 (/ 1 lambda1)) (/ 1 (/ 1 lambda2)))) (cos (/ 1 (/ 1 phi1))))))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
1.427 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
1.427 * [approximate]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in (phi1 phi2 lambda1 lambda2) around 0
1.427 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in lambda2
1.427 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
1.427 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in lambda1
1.427 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
1.427 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in phi2
1.428 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
1.428 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in phi1
1.428 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
1.428 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in phi1
1.428 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
1.428 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in phi2
1.429 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
1.429 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in lambda1
1.429 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
1.429 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in lambda2
1.429 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
1.429 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
1.429 * [taylor]: Taking taylor expansion of 0 in phi2
1.429 * [backup-simplify]: Simplify 0 into 0
1.429 * [taylor]: Taking taylor expansion of 0 in lambda1
1.429 * [backup-simplify]: Simplify 0 into 0
1.429 * [taylor]: Taking taylor expansion of 0 in lambda2
1.429 * [backup-simplify]: Simplify 0 into 0
1.429 * [backup-simplify]: Simplify 0 into 0
1.429 * [taylor]: Taking taylor expansion of 0 in lambda1
1.429 * [backup-simplify]: Simplify 0 into 0
1.429 * [taylor]: Taking taylor expansion of 0 in lambda2
1.430 * [backup-simplify]: Simplify 0 into 0
1.430 * [backup-simplify]: Simplify 0 into 0
1.430 * [taylor]: Taking taylor expansion of 0 in lambda2
1.430 * [backup-simplify]: Simplify 0 into 0
1.430 * [backup-simplify]: Simplify 0 into 0
1.430 * [backup-simplify]: Simplify 0 into 0
1.430 * [taylor]: Taking taylor expansion of 0 in phi2
1.430 * [backup-simplify]: Simplify 0 into 0
1.430 * [taylor]: Taking taylor expansion of 0 in lambda1
1.430 * [backup-simplify]: Simplify 0 into 0
1.430 * [taylor]: Taking taylor expansion of 0 in lambda2
1.430 * [backup-simplify]: Simplify 0 into 0
1.430 * [backup-simplify]: Simplify 0 into 0
1.430 * [taylor]: Taking taylor expansion of 0 in lambda1
1.430 * [backup-simplify]: Simplify 0 into 0
1.430 * [taylor]: Taking taylor expansion of 0 in lambda2
1.430 * [backup-simplify]: Simplify 0 into 0
1.430 * [backup-simplify]: Simplify 0 into 0
1.430 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (- (/ 1 (/ 1 (- lambda2))) (/ 1 (/ 1 (- lambda1))))))))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
1.430 * * * * [progress]: [ 3 / 4 ] generating series at (2)
1.431 * [backup-simplify]: Simplify (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) into (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R)
1.431 * [approximate]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in (phi1 phi2 lambda1 lambda2 R) around 0
1.431 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in R
1.431 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in R
1.431 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
1.431 * [taylor]: Taking taylor expansion of R in R
1.431 * [backup-simplify]: Simplify 0 into 0
1.431 * [backup-simplify]: Simplify 1 into 1
1.431 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in lambda2
1.431 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda2
1.431 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
1.431 * [taylor]: Taking taylor expansion of R in lambda2
1.431 * [backup-simplify]: Simplify R into R
1.431 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in lambda1
1.431 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda1
1.432 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
1.432 * [taylor]: Taking taylor expansion of R in lambda1
1.432 * [backup-simplify]: Simplify R into R
1.432 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in phi2
1.432 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi2
1.432 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
1.432 * [taylor]: Taking taylor expansion of R in phi2
1.432 * [backup-simplify]: Simplify R into R
1.432 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in phi1
1.432 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi1
1.432 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
1.432 * [taylor]: Taking taylor expansion of R in phi1
1.432 * [backup-simplify]: Simplify R into R
1.432 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in phi1
1.432 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi1
1.464 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
1.465 * [taylor]: Taking taylor expansion of R in phi1
1.465 * [backup-simplify]: Simplify R into R
1.465 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) into (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R)
1.465 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in phi2
1.465 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi2
1.465 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
1.465 * [taylor]: Taking taylor expansion of R in phi2
1.465 * [backup-simplify]: Simplify R into R
1.466 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) into (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R)
1.466 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in lambda1
1.466 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda1
1.466 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
1.466 * [taylor]: Taking taylor expansion of R in lambda1
1.466 * [backup-simplify]: Simplify R into R
1.466 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) into (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R)
1.466 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in lambda2
1.466 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda2
1.467 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
1.467 * [taylor]: Taking taylor expansion of R in lambda2
1.467 * [backup-simplify]: Simplify R into R
1.467 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) into (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R)
1.467 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in R
1.467 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in R
1.467 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
1.467 * [taylor]: Taking taylor expansion of R in R
1.467 * [backup-simplify]: Simplify 0 into 0
1.467 * [backup-simplify]: Simplify 1 into 1
1.467 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) into 0
1.468 * [backup-simplify]: Simplify 0 into 0
1.468 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (* 0 R)) into 0
1.468 * [taylor]: Taking taylor expansion of 0 in phi2
1.468 * [backup-simplify]: Simplify 0 into 0
1.468 * [taylor]: Taking taylor expansion of 0 in lambda1
1.468 * [backup-simplify]: Simplify 0 into 0
1.468 * [taylor]: Taking taylor expansion of 0 in lambda2
1.468 * [backup-simplify]: Simplify 0 into 0
1.468 * [taylor]: Taking taylor expansion of 0 in R
1.468 * [backup-simplify]: Simplify 0 into 0
1.468 * [backup-simplify]: Simplify 0 into 0
1.468 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (* 0 R)) into 0
1.468 * [taylor]: Taking taylor expansion of 0 in lambda1
1.468 * [backup-simplify]: Simplify 0 into 0
1.468 * [taylor]: Taking taylor expansion of 0 in lambda2
1.468 * [backup-simplify]: Simplify 0 into 0
1.468 * [taylor]: Taking taylor expansion of 0 in R
1.468 * [backup-simplify]: Simplify 0 into 0
1.469 * [backup-simplify]: Simplify 0 into 0
1.469 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (* 0 R)) into 0
1.469 * [taylor]: Taking taylor expansion of 0 in lambda2
1.469 * [backup-simplify]: Simplify 0 into 0
1.469 * [taylor]: Taking taylor expansion of 0 in R
1.469 * [backup-simplify]: Simplify 0 into 0
1.469 * [backup-simplify]: Simplify 0 into 0
1.469 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (* 0 R)) into 0
1.469 * [taylor]: Taking taylor expansion of 0 in R
1.469 * [backup-simplify]: Simplify 0 into 0
1.469 * [backup-simplify]: Simplify 0 into 0
1.470 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1) (* 0 0)) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
1.470 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
1.472 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (+ (* 0 0) (* 0 R))) into 0
1.472 * [taylor]: Taking taylor expansion of 0 in phi2
1.472 * [backup-simplify]: Simplify 0 into 0
1.472 * [taylor]: Taking taylor expansion of 0 in lambda1
1.472 * [backup-simplify]: Simplify 0 into 0
1.472 * [taylor]: Taking taylor expansion of 0 in lambda2
1.472 * [backup-simplify]: Simplify 0 into 0
1.472 * [taylor]: Taking taylor expansion of 0 in R
1.472 * [backup-simplify]: Simplify 0 into 0
1.472 * [backup-simplify]: Simplify 0 into 0
1.472 * [taylor]: Taking taylor expansion of 0 in lambda1
1.472 * [backup-simplify]: Simplify 0 into 0
1.472 * [taylor]: Taking taylor expansion of 0 in lambda2
1.472 * [backup-simplify]: Simplify 0 into 0
1.472 * [taylor]: Taking taylor expansion of 0 in R
1.472 * [backup-simplify]: Simplify 0 into 0
1.472 * [backup-simplify]: Simplify 0 into 0
1.473 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (+ (* 0 0) (* 0 R))) into 0
1.473 * [taylor]: Taking taylor expansion of 0 in lambda1
1.473 * [backup-simplify]: Simplify 0 into 0
1.473 * [taylor]: Taking taylor expansion of 0 in lambda2
1.473 * [backup-simplify]: Simplify 0 into 0
1.473 * [taylor]: Taking taylor expansion of 0 in R
1.473 * [backup-simplify]: Simplify 0 into 0
1.473 * [backup-simplify]: Simplify 0 into 0
1.473 * [taylor]: Taking taylor expansion of 0 in lambda2
1.473 * [backup-simplify]: Simplify 0 into 0
1.473 * [taylor]: Taking taylor expansion of 0 in R
1.473 * [backup-simplify]: Simplify 0 into 0
1.473 * [backup-simplify]: Simplify 0 into 0
1.473 * [taylor]: Taking taylor expansion of 0 in lambda2
1.473 * [backup-simplify]: Simplify 0 into 0
1.473 * [taylor]: Taking taylor expansion of 0 in R
1.473 * [backup-simplify]: Simplify 0 into 0
1.473 * [backup-simplify]: Simplify 0 into 0
1.474 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (+ (* 0 0) (* 0 R))) into 0
1.474 * [taylor]: Taking taylor expansion of 0 in lambda2
1.474 * [backup-simplify]: Simplify 0 into 0
1.474 * [taylor]: Taking taylor expansion of 0 in R
1.474 * [backup-simplify]: Simplify 0 into 0
1.474 * [backup-simplify]: Simplify 0 into 0
1.475 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) (* R (* 1 (* 1 (* 1 1))))) into (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R)
1.476 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))) (/ 1 R)) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R)
1.476 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0
1.476 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in R
1.476 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in R
1.476 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
1.477 * [taylor]: Taking taylor expansion of R in R
1.477 * [backup-simplify]: Simplify 0 into 0
1.477 * [backup-simplify]: Simplify 1 into 1
1.477 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
1.477 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in lambda2
1.477 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in lambda2
1.478 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
1.478 * [taylor]: Taking taylor expansion of R in lambda2
1.478 * [backup-simplify]: Simplify R into R
1.478 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R)
1.479 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in lambda1
1.479 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in lambda1
1.479 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
1.479 * [taylor]: Taking taylor expansion of R in lambda1
1.479 * [backup-simplify]: Simplify R into R
1.479 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R)
1.479 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in phi2
1.479 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in phi2
1.480 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
1.480 * [taylor]: Taking taylor expansion of R in phi2
1.480 * [backup-simplify]: Simplify R into R
1.480 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R)
1.480 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in phi1
1.480 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in phi1
1.481 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
1.481 * [taylor]: Taking taylor expansion of R in phi1
1.481 * [backup-simplify]: Simplify R into R
1.481 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R)
1.481 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in phi1
1.481 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in phi1
1.481 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
1.481 * [taylor]: Taking taylor expansion of R in phi1
1.482 * [backup-simplify]: Simplify R into R
1.482 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R)
1.482 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in phi2
1.482 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in phi2
1.482 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
1.482 * [taylor]: Taking taylor expansion of R in phi2
1.482 * [backup-simplify]: Simplify R into R
1.483 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R)
1.483 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in lambda1
1.483 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in lambda1
1.483 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
1.483 * [taylor]: Taking taylor expansion of R in lambda1
1.483 * [backup-simplify]: Simplify R into R
1.484 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R)
1.484 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in lambda2
1.484 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in lambda2
1.484 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
1.484 * [taylor]: Taking taylor expansion of R in lambda2
1.484 * [backup-simplify]: Simplify R into R
1.485 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R)
1.485 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in R
1.485 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in R
1.485 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
1.485 * [taylor]: Taking taylor expansion of R in R
1.485 * [backup-simplify]: Simplify 0 into 0
1.485 * [backup-simplify]: Simplify 1 into 1
1.486 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
1.486 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
1.487 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) (/ 0 R)))) into 0
1.487 * [taylor]: Taking taylor expansion of 0 in phi2
1.487 * [backup-simplify]: Simplify 0 into 0
1.487 * [taylor]: Taking taylor expansion of 0 in lambda1
1.487 * [backup-simplify]: Simplify 0 into 0
1.487 * [taylor]: Taking taylor expansion of 0 in lambda2
1.487 * [backup-simplify]: Simplify 0 into 0
1.487 * [taylor]: Taking taylor expansion of 0 in R
1.487 * [backup-simplify]: Simplify 0 into 0
1.487 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) (/ 0 R)))) into 0
1.487 * [taylor]: Taking taylor expansion of 0 in lambda1
1.487 * [backup-simplify]: Simplify 0 into 0
1.487 * [taylor]: Taking taylor expansion of 0 in lambda2
1.487 * [backup-simplify]: Simplify 0 into 0
1.487 * [taylor]: Taking taylor expansion of 0 in R
1.487 * [backup-simplify]: Simplify 0 into 0
1.488 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) (/ 0 R)))) into 0
1.488 * [taylor]: Taking taylor expansion of 0 in lambda2
1.488 * [backup-simplify]: Simplify 0 into 0
1.488 * [taylor]: Taking taylor expansion of 0 in R
1.488 * [backup-simplify]: Simplify 0 into 0
1.488 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) (/ 0 R)))) into 0
1.488 * [taylor]: Taking taylor expansion of 0 in R
1.488 * [backup-simplify]: Simplify 0 into 0
1.489 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) (/ 0 1)))) into 0
1.489 * [backup-simplify]: Simplify 0 into 0
1.490 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
1.490 * [taylor]: Taking taylor expansion of 0 in phi2
1.490 * [backup-simplify]: Simplify 0 into 0
1.490 * [taylor]: Taking taylor expansion of 0 in lambda1
1.490 * [backup-simplify]: Simplify 0 into 0
1.490 * [taylor]: Taking taylor expansion of 0 in lambda2
1.490 * [backup-simplify]: Simplify 0 into 0
1.490 * [taylor]: Taking taylor expansion of 0 in R
1.490 * [backup-simplify]: Simplify 0 into 0
1.490 * [taylor]: Taking taylor expansion of 0 in lambda1
1.490 * [backup-simplify]: Simplify 0 into 0
1.490 * [taylor]: Taking taylor expansion of 0 in lambda2
1.490 * [backup-simplify]: Simplify 0 into 0
1.490 * [taylor]: Taking taylor expansion of 0 in R
1.490 * [backup-simplify]: Simplify 0 into 0
1.491 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
1.491 * [taylor]: Taking taylor expansion of 0 in lambda1
1.491 * [backup-simplify]: Simplify 0 into 0
1.491 * [taylor]: Taking taylor expansion of 0 in lambda2
1.491 * [backup-simplify]: Simplify 0 into 0
1.491 * [taylor]: Taking taylor expansion of 0 in R
1.491 * [backup-simplify]: Simplify 0 into 0
1.491 * [taylor]: Taking taylor expansion of 0 in lambda2
1.491 * [backup-simplify]: Simplify 0 into 0
1.491 * [taylor]: Taking taylor expansion of 0 in R
1.491 * [backup-simplify]: Simplify 0 into 0
1.491 * [taylor]: Taking taylor expansion of 0 in lambda2
1.491 * [backup-simplify]: Simplify 0 into 0
1.491 * [taylor]: Taking taylor expansion of 0 in R
1.491 * [backup-simplify]: Simplify 0 into 0
1.491 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
1.491 * [taylor]: Taking taylor expansion of 0 in lambda2
1.491 * [backup-simplify]: Simplify 0 into 0
1.491 * [taylor]: Taking taylor expansion of 0 in R
1.491 * [backup-simplify]: Simplify 0 into 0
1.491 * [taylor]: Taking taylor expansion of 0 in R
1.491 * [backup-simplify]: Simplify 0 into 0
1.491 * [taylor]: Taking taylor expansion of 0 in R
1.491 * [backup-simplify]: Simplify 0 into 0
1.491 * [taylor]: Taking taylor expansion of 0 in R
1.492 * [backup-simplify]: Simplify 0 into 0
1.492 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
1.492 * [taylor]: Taking taylor expansion of 0 in R
1.492 * [backup-simplify]: Simplify 0 into 0
1.492 * [backup-simplify]: Simplify 0 into 0
1.492 * [backup-simplify]: Simplify 0 into 0
1.492 * [backup-simplify]: Simplify 0 into 0
1.492 * [backup-simplify]: Simplify 0 into 0
1.494 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.494 * [backup-simplify]: Simplify 0 into 0
1.495 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (- (/ 1 (/ 1 lambda1)) (/ 1 (/ 1 lambda2)))) (cos (/ 1 (/ 1 phi1))))))) (* (/ 1 (/ 1 R)) (* 1 (* 1 (* 1 1))))) into (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R)
1.495 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2))))))) (/ 1 (- R))) into (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R))
1.495 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0
1.495 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in R
1.495 * [taylor]: Taking taylor expansion of -1 in R
1.495 * [backup-simplify]: Simplify -1 into -1
1.495 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in R
1.495 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in R
1.495 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
1.495 * [taylor]: Taking taylor expansion of R in R
1.495 * [backup-simplify]: Simplify 0 into 0
1.495 * [backup-simplify]: Simplify 1 into 1
1.496 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
1.496 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in lambda2
1.496 * [taylor]: Taking taylor expansion of -1 in lambda2
1.496 * [backup-simplify]: Simplify -1 into -1
1.496 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in lambda2
1.496 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in lambda2
1.496 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
1.496 * [taylor]: Taking taylor expansion of R in lambda2
1.496 * [backup-simplify]: Simplify R into R
1.496 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)
1.497 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in lambda1
1.497 * [taylor]: Taking taylor expansion of -1 in lambda1
1.497 * [backup-simplify]: Simplify -1 into -1
1.497 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in lambda1
1.497 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in lambda1
1.497 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
1.497 * [taylor]: Taking taylor expansion of R in lambda1
1.497 * [backup-simplify]: Simplify R into R
1.497 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)
1.497 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in phi2
1.497 * [taylor]: Taking taylor expansion of -1 in phi2
1.497 * [backup-simplify]: Simplify -1 into -1
1.497 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in phi2
1.497 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in phi2
1.498 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
1.498 * [taylor]: Taking taylor expansion of R in phi2
1.498 * [backup-simplify]: Simplify R into R
1.498 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)
1.498 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in phi1
1.498 * [taylor]: Taking taylor expansion of -1 in phi1
1.498 * [backup-simplify]: Simplify -1 into -1
1.498 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in phi1
1.498 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in phi1
1.498 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
1.498 * [taylor]: Taking taylor expansion of R in phi1
1.498 * [backup-simplify]: Simplify R into R
1.499 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)
1.499 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in phi1
1.499 * [taylor]: Taking taylor expansion of -1 in phi1
1.499 * [backup-simplify]: Simplify -1 into -1
1.499 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in phi1
1.499 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in phi1
1.499 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
1.499 * [taylor]: Taking taylor expansion of R in phi1
1.499 * [backup-simplify]: Simplify R into R
1.499 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)
1.500 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) into (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R))
1.500 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in phi2
1.500 * [taylor]: Taking taylor expansion of -1 in phi2
1.500 * [backup-simplify]: Simplify -1 into -1
1.500 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in phi2
1.500 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in phi2
1.500 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
1.500 * [taylor]: Taking taylor expansion of R in phi2
1.500 * [backup-simplify]: Simplify R into R
1.500 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)
1.501 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) into (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R))
1.501 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in lambda1
1.501 * [taylor]: Taking taylor expansion of -1 in lambda1
1.501 * [backup-simplify]: Simplify -1 into -1
1.501 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in lambda1
1.501 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in lambda1
1.501 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
1.501 * [taylor]: Taking taylor expansion of R in lambda1
1.501 * [backup-simplify]: Simplify R into R
1.501 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)
1.502 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) into (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R))
1.502 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in lambda2
1.502 * [taylor]: Taking taylor expansion of -1 in lambda2
1.502 * [backup-simplify]: Simplify -1 into -1
1.502 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in lambda2
1.502 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in lambda2
1.502 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
1.502 * [taylor]: Taking taylor expansion of R in lambda2
1.502 * [backup-simplify]: Simplify R into R
1.502 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)
1.503 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) into (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R))
1.503 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in R
1.503 * [taylor]: Taking taylor expansion of -1 in R
1.503 * [backup-simplify]: Simplify -1 into -1
1.503 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in R
1.503 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in R
1.536 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
1.536 * [taylor]: Taking taylor expansion of R in R
1.536 * [backup-simplify]: Simplify 0 into 0
1.536 * [backup-simplify]: Simplify 1 into 1
1.537 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
1.537 * [backup-simplify]: Simplify (* -1 (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))) into (* -1 (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))))
1.538 * [backup-simplify]: Simplify (* -1 (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))) into (* -1 (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))))
1.538 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)))) into 0
1.540 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R))) into 0
1.540 * [taylor]: Taking taylor expansion of 0 in phi2
1.540 * [backup-simplify]: Simplify 0 into 0
1.540 * [taylor]: Taking taylor expansion of 0 in lambda1
1.540 * [backup-simplify]: Simplify 0 into 0
1.540 * [taylor]: Taking taylor expansion of 0 in lambda2
1.540 * [backup-simplify]: Simplify 0 into 0
1.540 * [taylor]: Taking taylor expansion of 0 in R
1.540 * [backup-simplify]: Simplify 0 into 0
1.541 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)))) into 0
1.542 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R))) into 0
1.542 * [taylor]: Taking taylor expansion of 0 in lambda1
1.542 * [backup-simplify]: Simplify 0 into 0
1.542 * [taylor]: Taking taylor expansion of 0 in lambda2
1.542 * [backup-simplify]: Simplify 0 into 0
1.542 * [taylor]: Taking taylor expansion of 0 in R
1.542 * [backup-simplify]: Simplify 0 into 0
1.543 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)))) into 0
1.544 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R))) into 0
1.544 * [taylor]: Taking taylor expansion of 0 in lambda2
1.544 * [backup-simplify]: Simplify 0 into 0
1.544 * [taylor]: Taking taylor expansion of 0 in R
1.544 * [backup-simplify]: Simplify 0 into 0
1.545 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)))) into 0
1.546 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R))) into 0
1.546 * [taylor]: Taking taylor expansion of 0 in R
1.546 * [backup-simplify]: Simplify 0 into 0
1.548 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) (/ 0 1)))) into 0
1.548 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))))) into 0
1.549 * [backup-simplify]: Simplify 0 into 0
1.549 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
1.551 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)))) into 0
1.551 * [taylor]: Taking taylor expansion of 0 in phi2
1.551 * [backup-simplify]: Simplify 0 into 0
1.551 * [taylor]: Taking taylor expansion of 0 in lambda1
1.551 * [backup-simplify]: Simplify 0 into 0
1.551 * [taylor]: Taking taylor expansion of 0 in lambda2
1.551 * [backup-simplify]: Simplify 0 into 0
1.551 * [taylor]: Taking taylor expansion of 0 in R
1.551 * [backup-simplify]: Simplify 0 into 0
1.551 * [taylor]: Taking taylor expansion of 0 in lambda1
1.551 * [backup-simplify]: Simplify 0 into 0
1.551 * [taylor]: Taking taylor expansion of 0 in lambda2
1.551 * [backup-simplify]: Simplify 0 into 0
1.551 * [taylor]: Taking taylor expansion of 0 in R
1.551 * [backup-simplify]: Simplify 0 into 0
1.552 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
1.554 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)))) into 0
1.554 * [taylor]: Taking taylor expansion of 0 in lambda1
1.554 * [backup-simplify]: Simplify 0 into 0
1.554 * [taylor]: Taking taylor expansion of 0 in lambda2
1.554 * [backup-simplify]: Simplify 0 into 0
1.554 * [taylor]: Taking taylor expansion of 0 in R
1.554 * [backup-simplify]: Simplify 0 into 0
1.554 * [taylor]: Taking taylor expansion of 0 in lambda2
1.554 * [backup-simplify]: Simplify 0 into 0
1.554 * [taylor]: Taking taylor expansion of 0 in R
1.554 * [backup-simplify]: Simplify 0 into 0
1.554 * [taylor]: Taking taylor expansion of 0 in lambda2
1.554 * [backup-simplify]: Simplify 0 into 0
1.554 * [taylor]: Taking taylor expansion of 0 in R
1.554 * [backup-simplify]: Simplify 0 into 0
1.555 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
1.556 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)))) into 0
1.557 * [taylor]: Taking taylor expansion of 0 in lambda2
1.557 * [backup-simplify]: Simplify 0 into 0
1.557 * [taylor]: Taking taylor expansion of 0 in R
1.557 * [backup-simplify]: Simplify 0 into 0
1.557 * [taylor]: Taking taylor expansion of 0 in R
1.557 * [backup-simplify]: Simplify 0 into 0
1.557 * [taylor]: Taking taylor expansion of 0 in R
1.557 * [backup-simplify]: Simplify 0 into 0
1.557 * [taylor]: Taking taylor expansion of 0 in R
1.557 * [backup-simplify]: Simplify 0 into 0
1.558 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
1.559 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)))) into 0
1.559 * [taylor]: Taking taylor expansion of 0 in R
1.559 * [backup-simplify]: Simplify 0 into 0
1.559 * [backup-simplify]: Simplify 0 into 0
1.559 * [backup-simplify]: Simplify 0 into 0
1.559 * [backup-simplify]: Simplify 0 into 0
1.559 * [backup-simplify]: Simplify 0 into 0
1.561 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.563 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))))) into 0
1.563 * [backup-simplify]: Simplify 0 into 0
1.564 * [backup-simplify]: Simplify (* (* -1 (acos (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (- (/ 1 (/ 1 (- lambda2))) (/ 1 (/ 1 (- lambda1)))))))))) (* (/ 1 (/ 1 (- R))) (* 1 (* 1 (* 1 1))))) into (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R)
1.564 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1)
1.564 * [backup-simplify]: Simplify (* (sin phi1) (sin phi2)) into (* (sin phi1) (sin phi2))
1.564 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0
1.564 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2
1.564 * [taylor]: Taking taylor expansion of (sin phi1) in phi2
1.564 * [taylor]: Taking taylor expansion of phi1 in phi2
1.564 * [backup-simplify]: Simplify phi1 into phi1
1.564 * [backup-simplify]: Simplify (sin phi1) into (sin phi1)
1.565 * [backup-simplify]: Simplify (cos phi1) into (cos phi1)
1.565 * [taylor]: Taking taylor expansion of (sin phi2) in phi2
1.565 * [taylor]: Taking taylor expansion of phi2 in phi2
1.565 * [backup-simplify]: Simplify 0 into 0
1.565 * [backup-simplify]: Simplify 1 into 1
1.565 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1
1.565 * [taylor]: Taking taylor expansion of (sin phi1) in phi1
1.565 * [taylor]: Taking taylor expansion of phi1 in phi1
1.565 * [backup-simplify]: Simplify 0 into 0
1.565 * [backup-simplify]: Simplify 1 into 1
1.565 * [taylor]: Taking taylor expansion of (sin phi2) in phi1
1.565 * [taylor]: Taking taylor expansion of phi2 in phi1
1.565 * [backup-simplify]: Simplify phi2 into phi2
1.565 * [backup-simplify]: Simplify (sin phi2) into (sin phi2)
1.565 * [backup-simplify]: Simplify (cos phi2) into (cos phi2)
1.565 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1
1.565 * [taylor]: Taking taylor expansion of (sin phi1) in phi1
1.565 * [taylor]: Taking taylor expansion of phi1 in phi1
1.565 * [backup-simplify]: Simplify 0 into 0
1.565 * [backup-simplify]: Simplify 1 into 1
1.565 * [taylor]: Taking taylor expansion of (sin phi2) in phi1
1.565 * [taylor]: Taking taylor expansion of phi2 in phi1
1.565 * [backup-simplify]: Simplify phi2 into phi2
1.565 * [backup-simplify]: Simplify (sin phi2) into (sin phi2)
1.565 * [backup-simplify]: Simplify (cos phi2) into (cos phi2)
1.566 * [backup-simplify]: Simplify (* (sin phi2) 1) into (sin phi2)
1.567 * [backup-simplify]: Simplify (* (cos phi2) 0) into 0
1.567 * [backup-simplify]: Simplify (+ (sin phi2) 0) into (sin phi2)
1.567 * [backup-simplify]: Simplify (* 0 (sin phi2)) into 0
1.567 * [taylor]: Taking taylor expansion of 0 in phi2
1.567 * [backup-simplify]: Simplify 0 into 0
1.567 * [backup-simplify]: Simplify 0 into 0
1.568 * [backup-simplify]: Simplify (+ 0) into 0
1.568 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (* 0 1)) into 0
1.569 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.570 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (* 0 0)) into 0
1.570 * [backup-simplify]: Simplify (+ 0 0) into 0
1.571 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
1.571 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin phi2))) into (sin phi2)
1.571 * [taylor]: Taking taylor expansion of (sin phi2) in phi2
1.571 * [taylor]: Taking taylor expansion of phi2 in phi2
1.571 * [backup-simplify]: Simplify 0 into 0
1.571 * [backup-simplify]: Simplify 1 into 1
1.571 * [backup-simplify]: Simplify 0 into 0
1.571 * [backup-simplify]: Simplify 0 into 0
1.572 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.572 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (* 0 1))) into 0
1.573 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.574 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* 0 0))) into 0
1.575 * [backup-simplify]: Simplify (+ 0 0) into 0
1.576 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.576 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin phi2)))) into 0
1.576 * [taylor]: Taking taylor expansion of 0 in phi2
1.576 * [backup-simplify]: Simplify 0 into 0
1.576 * [backup-simplify]: Simplify 0 into 0
1.577 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
1.577 * [backup-simplify]: Simplify 1 into 1
1.577 * [backup-simplify]: Simplify 0 into 0
1.578 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
1.578 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.580 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
1.580 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
1.580 * [backup-simplify]: Simplify (+ 0 0) into 0
1.581 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
1.582 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin phi2))))) into (- (* 1/6 (sin phi2)))
1.582 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2
1.582 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2
1.582 * [taylor]: Taking taylor expansion of 1/6 in phi2
1.582 * [backup-simplify]: Simplify 1/6 into 1/6
1.582 * [taylor]: Taking taylor expansion of (sin phi2) in phi2
1.582 * [taylor]: Taking taylor expansion of phi2 in phi2
1.582 * [backup-simplify]: Simplify 0 into 0
1.582 * [backup-simplify]: Simplify 1 into 1
1.583 * [backup-simplify]: Simplify (* 1/6 0) into 0
1.583 * [backup-simplify]: Simplify (- 0) into 0
1.583 * [backup-simplify]: Simplify 0 into 0
1.583 * [backup-simplify]: Simplify 0 into 0
1.584 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.584 * [backup-simplify]: Simplify 0 into 0
1.584 * [backup-simplify]: Simplify 0 into 0
1.585 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0
1.586 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.588 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
1.589 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
1.589 * [backup-simplify]: Simplify (+ 0 0) into 0
1.624 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
1.627 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin phi2)))))) into 0
1.627 * [taylor]: Taking taylor expansion of 0 in phi2
1.627 * [backup-simplify]: Simplify 0 into 0
1.627 * [backup-simplify]: Simplify 0 into 0
1.627 * [backup-simplify]: Simplify (* 1 (* phi2 phi1)) into (* phi1 phi2)
1.627 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))
1.627 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in (phi1 phi2) around 0
1.627 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2
1.628 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2
1.628 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
1.628 * [taylor]: Taking taylor expansion of phi2 in phi2
1.628 * [backup-simplify]: Simplify 0 into 0
1.628 * [backup-simplify]: Simplify 1 into 1
1.628 * [backup-simplify]: Simplify (/ 1 1) into 1
1.628 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
1.628 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2
1.628 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
1.629 * [taylor]: Taking taylor expansion of phi1 in phi2
1.629 * [backup-simplify]: Simplify phi1 into phi1
1.629 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
1.629 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
1.629 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
1.629 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1
1.629 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1
1.629 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
1.629 * [taylor]: Taking taylor expansion of phi2 in phi1
1.629 * [backup-simplify]: Simplify phi2 into phi2
1.629 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
1.629 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
1.629 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
1.629 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1
1.629 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
1.629 * [taylor]: Taking taylor expansion of phi1 in phi1
1.629 * [backup-simplify]: Simplify 0 into 0
1.629 * [backup-simplify]: Simplify 1 into 1
1.630 * [backup-simplify]: Simplify (/ 1 1) into 1
1.630 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
1.630 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1
1.630 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1
1.630 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
1.630 * [taylor]: Taking taylor expansion of phi2 in phi1
1.630 * [backup-simplify]: Simplify phi2 into phi2
1.630 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
1.630 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
1.630 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
1.630 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1
1.630 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
1.630 * [taylor]: Taking taylor expansion of phi1 in phi1
1.631 * [backup-simplify]: Simplify 0 into 0
1.631 * [backup-simplify]: Simplify 1 into 1
1.631 * [backup-simplify]: Simplify (/ 1 1) into 1
1.631 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
1.631 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 1) into (sin (/ 1 phi2))
1.631 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 0) into 0
1.632 * [backup-simplify]: Simplify (+ (sin (/ 1 phi2)) 0) into (sin (/ 1 phi2))
1.632 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))
1.632 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2
1.632 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2
1.632 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
1.632 * [taylor]: Taking taylor expansion of phi2 in phi2
1.632 * [backup-simplify]: Simplify 0 into 0
1.632 * [backup-simplify]: Simplify 1 into 1
1.633 * [backup-simplify]: Simplify (/ 1 1) into 1
1.633 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
1.633 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2
1.633 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
1.633 * [taylor]: Taking taylor expansion of phi1 in phi2
1.633 * [backup-simplify]: Simplify phi1 into phi1
1.633 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
1.633 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
1.633 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
1.633 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 1) into (sin (/ 1 phi1))
1.633 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 0) into 0
1.633 * [backup-simplify]: Simplify (+ (sin (/ 1 phi1)) 0) into (sin (/ 1 phi1))
1.633 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))
1.634 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))
1.634 * [backup-simplify]: Simplify (+ 0) into 0
1.635 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 1)) into 0
1.635 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
1.636 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.637 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 0)) into 0
1.637 * [backup-simplify]: Simplify (+ 0 0) into 0
1.638 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0
1.638 * [taylor]: Taking taylor expansion of 0 in phi2
1.638 * [backup-simplify]: Simplify 0 into 0
1.638 * [backup-simplify]: Simplify 0 into 0
1.638 * [backup-simplify]: Simplify (+ 0) into 0
1.639 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 1)) into 0
1.639 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
1.651 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.652 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 0)) into 0
1.652 * [backup-simplify]: Simplify (+ 0 0) into 0
1.653 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0
1.653 * [backup-simplify]: Simplify 0 into 0
1.654 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.655 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0
1.655 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
1.656 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.657 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0
1.658 * [backup-simplify]: Simplify (+ 0 0) into 0
1.658 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0
1.658 * [taylor]: Taking taylor expansion of 0 in phi2
1.658 * [backup-simplify]: Simplify 0 into 0
1.658 * [backup-simplify]: Simplify 0 into 0
1.658 * [backup-simplify]: Simplify 0 into 0
1.660 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.660 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0
1.661 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
1.662 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.662 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0
1.663 * [backup-simplify]: Simplify (+ 0 0) into 0
1.663 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0
1.663 * [backup-simplify]: Simplify 0 into 0
1.664 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
1.665 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.666 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
1.668 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
1.668 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
1.669 * [backup-simplify]: Simplify (+ 0 0) into 0
1.670 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1)))))) into 0
1.670 * [taylor]: Taking taylor expansion of 0 in phi2
1.670 * [backup-simplify]: Simplify 0 into 0
1.670 * [backup-simplify]: Simplify 0 into 0
1.670 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) into (* (sin phi1) (sin phi2))
1.670 * [backup-simplify]: Simplify (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))
1.670 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0
1.670 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2
1.670 * [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 -1 in phi2
1.671 * [backup-simplify]: Simplify -1 into -1
1.671 * [taylor]: Taking taylor expansion of phi1 in phi2
1.671 * [backup-simplify]: Simplify phi1 into phi1
1.671 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1)
1.671 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
1.671 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
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 -1 in phi2
1.671 * [backup-simplify]: Simplify -1 into -1
1.671 * [taylor]: Taking taylor expansion of phi2 in phi2
1.671 * [backup-simplify]: Simplify 0 into 0
1.671 * [backup-simplify]: Simplify 1 into 1
1.672 * [backup-simplify]: Simplify (/ -1 1) into -1
1.672 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 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 -1 in phi1
1.672 * [backup-simplify]: Simplify -1 into -1
1.672 * [taylor]: Taking taylor expansion of phi1 in phi1
1.672 * [backup-simplify]: Simplify 0 into 0
1.672 * [backup-simplify]: Simplify 1 into 1
1.672 * [backup-simplify]: Simplify (/ -1 1) into -1
1.672 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 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 -1 in phi1
1.673 * [backup-simplify]: Simplify -1 into -1
1.673 * [taylor]: Taking taylor expansion of phi2 in phi1
1.673 * [backup-simplify]: Simplify phi2 into phi2
1.673 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2)
1.673 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
1.673 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
1.673 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1
1.673 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1
1.673 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1
1.673 * [taylor]: Taking taylor expansion of -1 in phi1
1.673 * [backup-simplify]: Simplify -1 into -1
1.673 * [taylor]: Taking taylor expansion of phi1 in phi1
1.673 * [backup-simplify]: Simplify 0 into 0
1.673 * [backup-simplify]: Simplify 1 into 1
1.674 * [backup-simplify]: Simplify (/ -1 1) into -1
1.674 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
1.674 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1
1.674 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1
1.674 * [taylor]: Taking taylor expansion of -1 in phi1
1.674 * [backup-simplify]: Simplify -1 into -1
1.674 * [taylor]: Taking taylor expansion of phi2 in phi1
1.674 * [backup-simplify]: Simplify phi2 into phi2
1.674 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2)
1.674 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
1.674 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
1.674 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 1) into (sin (/ -1 phi2))
1.674 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 0) into 0
1.674 * [backup-simplify]: Simplify (+ (sin (/ -1 phi2)) 0) into (sin (/ -1 phi2))
1.675 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))
1.675 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2
1.675 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2
1.675 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2
1.675 * [taylor]: Taking taylor expansion of -1 in phi2
1.675 * [backup-simplify]: Simplify -1 into -1
1.675 * [taylor]: Taking taylor expansion of phi1 in phi2
1.675 * [backup-simplify]: Simplify phi1 into phi1
1.675 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1)
1.675 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
1.675 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
1.675 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2
1.675 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2
1.675 * [taylor]: Taking taylor expansion of -1 in phi2
1.675 * [backup-simplify]: Simplify -1 into -1
1.675 * [taylor]: Taking taylor expansion of phi2 in phi2
1.675 * [backup-simplify]: Simplify 0 into 0
1.675 * [backup-simplify]: Simplify 1 into 1
1.676 * [backup-simplify]: Simplify (/ -1 1) into -1
1.676 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
1.676 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 1) into (sin (/ -1 phi1))
1.676 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 0) into 0
1.676 * [backup-simplify]: Simplify (+ (sin (/ -1 phi1)) 0) into (sin (/ -1 phi1))
1.676 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))
1.676 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))
1.677 * [backup-simplify]: Simplify (+ 0) into 0
1.677 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 1)) into 0
1.678 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0
1.678 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.679 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 0)) into 0
1.679 * [backup-simplify]: Simplify (+ 0 0) into 0
1.679 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0
1.679 * [taylor]: Taking taylor expansion of 0 in phi2
1.680 * [backup-simplify]: Simplify 0 into 0
1.680 * [backup-simplify]: Simplify 0 into 0
1.680 * [backup-simplify]: Simplify (+ 0) into 0
1.681 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 1)) into 0
1.681 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0
1.682 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.682 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 0)) into 0
1.683 * [backup-simplify]: Simplify (+ 0 0) into 0
1.683 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0
1.683 * [backup-simplify]: Simplify 0 into 0
1.684 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.685 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0
1.686 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
1.686 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.687 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0
1.687 * [backup-simplify]: Simplify (+ 0 0) into 0
1.688 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0
1.688 * [taylor]: Taking taylor expansion of 0 in phi2
1.688 * [backup-simplify]: Simplify 0 into 0
1.688 * [backup-simplify]: Simplify 0 into 0
1.688 * [backup-simplify]: Simplify 0 into 0
1.689 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.690 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0
1.690 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
1.691 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.692 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0
1.692 * [backup-simplify]: Simplify (+ 0 0) into 0
1.693 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0
1.693 * [backup-simplify]: Simplify 0 into 0
1.694 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
1.695 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.695 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
1.697 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
1.698 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
1.698 * [backup-simplify]: Simplify (+ 0 0) into 0
1.700 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2)))))) into 0
1.700 * [taylor]: Taking taylor expansion of 0 in phi2
1.700 * [backup-simplify]: Simplify 0 into 0
1.700 * [backup-simplify]: Simplify 0 into 0
1.700 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) into (* (sin phi1) (sin phi2))
1.700 * * * [progress]: simplifying candidates
1.700 * * * * [progress]: [ 1 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos (- lambda2))) (* (sin lambda1) (sin (- lambda2))))))) R))>
1.700 * * * * [progress]: [ 2 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos (- lambda2))) (* (sin lambda1) (sin (- lambda2))))))) R))>
1.701 * * * * [progress]: [ 3 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
1.701 * * * * [progress]: [ 4 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (pow (cos (- lambda1 lambda2)) 1)))) R))>
1.701 * * * * [progress]: [ 5 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (exp (log (cos (- lambda1 lambda2))))))) R))>
1.701 * * * * [progress]: [ 6 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (log (exp (cos (- lambda1 lambda2))))))) R))>
1.701 * * * * [progress]: [ 7 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (* (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2)))) (cbrt (cos (- lambda1 lambda2))))))) R))>
1.701 * * * * [progress]: [ 8 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cbrt (* (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2))))))) R))>
1.701 * * * * [progress]: [ 9 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (* (sqrt (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))))))) R))>
1.701 * * * * [progress]: [ 10 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (* 1 (cos (- lambda1 lambda2)))))) R))>
1.701 * * * * [progress]: [ 11 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (posit16->real (real->posit16 (cos (- lambda1 lambda2))))))) R))>
1.701 * * * * [progress]: [ 12 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R))>
1.702 * * * * [progress]: [ 13 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) 1) R))>
1.702 * * * * [progress]: [ 14 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) R))>
1.702 * * * * [progress]: [ 15 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) R))>
1.702 * * * * [progress]: [ 16 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (* (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))))))) R))>
1.702 * * * * [progress]: [ 17 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (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))))))) R))>
1.702 * * * * [progress]: [ 18 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (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))))))) R))>
1.702 * * * * [progress]: [ 19 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* 1 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R))>
1.702 * * * * [progress]: [ 20 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (posit16->real (real->posit16 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) R))>
1.702 * * * * [progress]: [ 21 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 1))>
1.702 * * * * [progress]: [ 22 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 1))>
1.702 * * * * [progress]: [ 23 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (exp (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (log R))))>
1.703 * * * * [progress]: [ 24 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (exp (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))))>
1.703 * * * * [progress]: [ 25 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (log (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))))>
1.703 * * * * [progress]: [ 26 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (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)))))) (* (* R R) R))))>
1.703 * * * * [progress]: [ 27 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (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))))>
1.703 * * * * [progress]: [ 28 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (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))))>
1.703 * * * * [progress]: [ 29 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (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))))>
1.703 * * * * [progress]: [ 30 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* 1 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)))>
1.703 * * * * [progress]: [ 31 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (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))))>
1.703 * * * * [progress]: [ 32 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (cbrt R) (cbrt R))) (cbrt R)))>
1.703 * * * * [progress]: [ 33 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (sqrt R)) (sqrt R)))>
1.703 * * * * [progress]: [ 34 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) 1) R))>
1.704 * * * * [progress]: [ 35 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (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)))))) R)))>
1.704 * * * * [progress]: [ 36 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (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)))))) R)))>
1.704 * * * * [progress]: [ 37 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* 1 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)))>
1.704 * * * * [progress]: [ 38 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (posit16->real (real->posit16 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))))>
1.704 * * * * [progress]: [ 39 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))))>
1.704 * * * * [progress]: [ 40 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (/ (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) 2) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
1.704 * * * * [progress]: [ 41 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (pow (* (sin phi1) (sin phi2)) 1) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
1.704 * * * * [progress]: [ 42 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (pow (* (sin phi1) (sin phi2)) 1) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
1.704 * * * * [progress]: [ 43 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (exp (+ (log (sin phi1)) (log (sin phi2)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
1.704 * * * * [progress]: [ 44 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (exp (log (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
1.704 * * * * [progress]: [ 45 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
1.704 * * * * [progress]: [ 46 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
1.705 * * * * [progress]: [ 47 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
1.705 * * * * [progress]: [ 48 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
1.705 * * * * [progress]: [ 49 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
1.705 * * * * [progress]: [ 50 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* 1 (* (sin phi1) (sin phi2))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
1.705 * * * * [progress]: [ 51 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
1.705 * * * * [progress]: [ 52 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (cbrt (sin phi2))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
1.705 * * * * [progress]: [ 53 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) (sqrt (sin phi2))) (sqrt (sin phi2))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
1.705 * * * * [progress]: [ 54 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) 1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
1.705 * * * * [progress]: [ 55 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cbrt (sin phi1)) (cbrt (sin phi1))) (* (cbrt (sin phi1)) (sin phi2))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
1.705 * * * * [progress]: [ 56 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sqrt (sin phi1)) (* (sqrt (sin phi1)) (sin phi2))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
1.706 * * * * [progress]: [ 57 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* 1 (* (sin phi1) (sin phi2))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
1.706 * * * * [progress]: [ 58 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (posit16->real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
1.706 * * * * [progress]: [ 59 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
1.706 * * * * [progress]: [ 60 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2)))))) R))>
1.706 * * * * [progress]: [ 61 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
1.706 * * * * [progress]: [ 62 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
1.706 * * * * [progress]: [ 63 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R))>
1.706 * * * * [progress]: [ 64 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R))>
1.706 * * * * [progress]: [ 65 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R))>
1.706 * * * * [progress]: [ 66 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R))>
1.706 * * * * [progress]: [ 67 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R))>
1.706 * * * * [progress]: [ 68 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R))>
1.707 * * * * [progress]: [ 69 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* phi1 phi2) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
1.707 * * * * [progress]: [ 70 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
1.707 * * * * [progress]: [ 71 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
1.708 * [simplify]: Simplifying (* (cos lambda1) (cos (- lambda2))), (* (sin lambda1) (sin (- lambda2))), (* (cos lambda1) (cos (- lambda2))), (* (sin lambda1) (sin (- lambda2))), (* (cos lambda1) (cos lambda2)), (* (sin lambda1) (sin lambda2)), (log (cos (- lambda1 lambda2))), (exp (cos (- lambda1 lambda2))), (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2)))), (cbrt (cos (- lambda1 lambda2))), (* (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2))), (sqrt (cos (- lambda1 lambda2))), (sqrt (cos (- lambda1 lambda2))), (real->posit16 (cos (- lambda1 lambda2))), (/ PI 2), (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))), (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))), (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))), (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))), (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))), (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))), (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))), (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))), (real->posit16 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))), (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R), (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (log R)), (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)), (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)), (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (* R R) R)), (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))), (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)), (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)), (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)), (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)), (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)), (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)), (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (cbrt R) (cbrt R))), (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (sqrt R)), (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) 1), (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R), (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R), (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R), (real->posit16 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)), (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))), (* (sin phi1) (sin phi2)), (+ (log (sin phi1)) (log (sin phi2))), (log (* (sin phi1) (sin phi2))), (exp (* (sin phi1) (sin phi2))), (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))), (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))), (cbrt (* (sin phi1) (sin phi2))), (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))), (sqrt (* (sin phi1) (sin phi2))), (sqrt (* (sin phi1) (sin phi2))), (* (sqrt (sin phi1)) (sqrt (sin phi2))), (* (sqrt (sin phi1)) (sqrt (sin phi2))), (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))), (* (sin phi1) (sqrt (sin phi2))), (* (sin phi1) 1), (* (cbrt (sin phi1)) (sin phi2)), (* (sqrt (sin phi1)) (sin phi2)), (* (sin phi1) (sin phi2)), (real->posit16 (* (sin phi1) (sin phi2))), (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2))), (cos (- lambda1 lambda2)), (cos (- lambda1 lambda2)), (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))), (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))), (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))), (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R), (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R), (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R), (* phi1 phi2), (* (sin phi1) (sin phi2)), (* (sin phi1) (sin phi2))
1.711 * * [simplify]: iteration 1: (115 enodes)
1.766 * * [simplify]: iteration 2: (416 enodes)
1.910 * * [simplify]: iteration 3: (680 enodes)
2.098 * * [simplify]: Extracting #0: cost 51 inf + 0
2.098 * * [simplify]: Extracting #1: cost 173 inf + 0
2.099 * * [simplify]: Extracting #2: cost 244 inf + 832
2.101 * * [simplify]: Extracting #3: cost 159 inf + 13471
2.109 * * [simplify]: Extracting #4: cost 83 inf + 27502
2.114 * * [simplify]: Extracting #5: cost 66 inf + 31092
2.121 * * [simplify]: Extracting #6: cost 35 inf + 53242
2.134 * * [simplify]: Extracting #7: cost 3 inf + 75444
2.148 * * [simplify]: Extracting #8: cost 0 inf + 77629
2.162 * [simplify]: Simplified to (* (cos lambda1) (cos lambda2)), (* (sin (- lambda2)) (sin lambda1)), (* (cos lambda1) (cos lambda2)), (* (sin (- lambda2)) (sin lambda1)), (* (cos lambda1) (cos lambda2)), (* (sin lambda2) (sin lambda1)), (log (cos (- lambda1 lambda2))), (exp (cos (- lambda1 lambda2))), (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2)))), (cbrt (cos (- lambda1 lambda2))), (* (cos (- lambda1 lambda2)) (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2)))), (sqrt (cos (- lambda1 lambda2))), (sqrt (cos (- lambda1 lambda2))), (real->posit16 (cos (- lambda1 lambda2))), (/ PI 2), (asin (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))), (log (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))), (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))), (* (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))))), (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))), (* (* (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))), (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))), (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))), (real->posit16 (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))), (* (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R), (log (* (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R)), (log (* (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R)), (exp (* (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R)), (* (* (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) (* (* (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) (* (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R))), (* (cbrt (* (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R)) (cbrt (* (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R))), (cbrt (* (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R)), (* (* (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) (* (* (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) (* (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R))), (sqrt (* (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R)), (sqrt (* (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R)), (* (sqrt R) (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))))), (* (sqrt R) (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))))), (* (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) (* (cbrt R) (cbrt R))), (* (sqrt R) (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))), (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))), (* (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) R), (* (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) R), (* (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R), (real->posit16 (* (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R)), (- (cos (- phi1 phi2)) (cos (+ phi2 phi1))), (* (sin phi2) (sin phi1)), (log (* (sin phi2) (sin phi1))), (log (* (sin phi2) (sin phi1))), (exp (* (sin phi2) (sin phi1))), (* (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1))) (* (sin phi2) (sin phi1))), (* (cbrt (* (sin phi2) (sin phi1))) (cbrt (* (sin phi2) (sin phi1)))), (cbrt (* (sin phi2) (sin phi1))), (* (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1))) (* (sin phi2) (sin phi1))), (sqrt (* (sin phi2) (sin phi1))), (sqrt (* (sin phi2) (sin phi1))), (* (sqrt (sin phi1)) (sqrt (sin phi2))), (* (sqrt (sin phi1)) (sqrt (sin phi2))), (* (* (cbrt (sin phi2)) (cbrt (sin phi2))) (sin phi1)), (* (sin phi1) (sqrt (sin phi2))), (sin phi1), (* (sin phi2) (cbrt (sin phi1))), (* (sqrt (sin phi1)) (sin phi2)), (* (sin phi2) (sin phi1)), (real->posit16 (* (sin phi2) (sin phi1))), (+ 1 (* lambda1 (- lambda2 (* 1/2 lambda1)))), (cos (- lambda1 lambda2)), (cos (- lambda1 lambda2)), (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))), (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))), (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))), (* (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R), (* (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R), (* (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R), (* phi2 phi1), (* (sin phi2) (sin phi1)), (* (sin phi2) (sin phi1))
2.163 * * * * [progress]: [ 1 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos (- lambda2))) (* (sin lambda1) (sin (- lambda2))))))) R))>
2.163 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R))
2.163 * [simplify]: Simplified (2 1 1 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos (- lambda2))) (* (sin (- lambda2)) (sin lambda1)))))) R))
2.163 * * * * [progress]: [ 2 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos (- lambda2))) (* (sin lambda1) (sin (- lambda2))))))) R))>
2.163 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R))
2.163 * [simplify]: Simplified (2 1 1 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos (- lambda2))) (* (sin (- lambda2)) (sin lambda1)))))) R))
2.163 * * * * [progress]: [ 3 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
2.163 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
2.163 * [simplify]: Simplified (2 1 1 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))) R))
2.163 * * * * [progress]: [ 4 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (pow (cos (- lambda1 lambda2)) 1)))) R))>
2.163 * * * * [progress]: [ 5 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (exp (log (cos (- lambda1 lambda2))))))) R))>
2.164 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (exp (log (cos (- lambda1 lambda2))))))) R))
2.164 * * * * [progress]: [ 6 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (log (exp (cos (- lambda1 lambda2))))))) R))>
2.164 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (log (exp (cos (- lambda1 lambda2))))))) R))
2.164 * * * * [progress]: [ 7 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (* (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2)))) (cbrt (cos (- lambda1 lambda2))))))) R))>
2.164 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (* (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2)))) (cbrt (cos (- lambda1 lambda2))))))) R))
2.164 * [simplify]: Simplified (2 1 1 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (* (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2)))) (cbrt (cos (- lambda1 lambda2))))))) R))
2.164 * * * * [progress]: [ 8 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cbrt (* (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2))))))) R))>
2.164 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cbrt (* (cos (- lambda1 lambda2)) (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2)))))))) R))
2.164 * * * * [progress]: [ 9 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (* (sqrt (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))))))) R))>
2.164 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (* (sqrt (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))))))) R))
2.164 * [simplify]: Simplified (2 1 1 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (* (sqrt (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))))))) R))
2.164 * * * * [progress]: [ 10 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (* 1 (cos (- lambda1 lambda2)))))) R))>
2.164 * * * * [progress]: [ 11 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (posit16->real (real->posit16 (cos (- lambda1 lambda2))))))) R))>
2.164 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (posit16->real (real->posit16 (cos (- lambda1 lambda2))))))) R))
2.165 * * * * [progress]: [ 12 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R))>
2.165 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R))
2.165 * [simplify]: Simplified (2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) R))
2.165 * * * * [progress]: [ 13 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) 1) R))>
2.165 * * * * [progress]: [ 14 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) R))>
2.165 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (exp (log (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))))) R))
2.165 * * * * [progress]: [ 15 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) R))>
2.165 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))))) R))
2.165 * * * * [progress]: [ 16 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (* (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))))))) R))>
2.165 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (* (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) R))
2.165 * [simplify]: Simplified (2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (* (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 phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))))) R))
2.165 * * * * [progress]: [ 17 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (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))))))) R))>
2.165 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (cbrt (* (* (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))))) R))
2.166 * * * * [progress]: [ 18 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (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))))))) R))>
2.166 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) R))
2.166 * [simplify]: Simplified (2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))))) R))
2.166 * * * * [progress]: [ 19 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* 1 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R))>
2.166 * * * * [progress]: [ 20 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (posit16->real (real->posit16 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) R))>
2.166 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (posit16->real (real->posit16 (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))))) R))
2.166 * * * * [progress]: [ 21 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 1))>
2.166 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (pow (* (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) 1))
2.166 * * * * [progress]: [ 22 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 1))>
2.166 * * * * [progress]: [ 23 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (exp (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (log R))))>
2.166 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (exp (log (* (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R))))
2.166 * * * * [progress]: [ 24 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (exp (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))))>
2.166 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (exp (log (* (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R))))
2.166 * * * * [progress]: [ 25 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (log (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))))>
2.166 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (log (exp (* (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R))))
2.167 * * * * [progress]: [ 26 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (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)))))) (* (* R R) R))))>
2.167 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) (* (* (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) (* (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R)))))
2.167 * * * * [progress]: [ 27 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (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))))>
2.167 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R)) (cbrt (* (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))))
2.167 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (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 phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R))))
2.167 * * * * [progress]: [ 28 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (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))))>
2.167 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) (* (* (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) (* (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R)))))
2.167 * * * * [progress]: [ 29 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (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))))>
2.167 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (* (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))))
2.167 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (sqrt (* (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R))))
2.167 * * * * [progress]: [ 30 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* 1 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)))>
2.168 * * * * [progress]: [ 31 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (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))))>
2.168 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt R) (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R))))
2.168 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (sqrt R) (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))))))
2.168 * * * * [progress]: [ 32 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (cbrt R) (cbrt R))) (cbrt R)))>
2.168 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) (* (cbrt R) (cbrt R))) (cbrt R)))
2.168 * * * * [progress]: [ 33 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (sqrt R)) (sqrt R)))>
2.168 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt R) (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (sqrt R)))
2.168 * * * * [progress]: [ 34 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) 1) R))>
2.168 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R))
2.168 * * * * [progress]: [ 35 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (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)))))) R)))>
2.168 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (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 phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) R)))
2.168 * * * * [progress]: [ 36 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (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)))))) R)))>
2.168 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) R)))
2.169 * * * * [progress]: [ 37 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* 1 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)))>
2.169 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* 1 (* (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R)))
2.169 * * * * [progress]: [ 38 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (posit16->real (real->posit16 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))))>
2.169 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (posit16->real (real->posit16 (* (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R))))
2.169 * * * * [progress]: [ 39 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))))>
2.169 * * * * [progress]: [ 40 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (/ (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) 2) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
2.169 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (/ (- (cos (- phi1 phi2)) (cos (+ phi2 phi1))) 2) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
2.169 * * * * [progress]: [ 41 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (pow (* (sin phi1) (sin phi2)) 1) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
2.169 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (pow (* (sin phi2) (sin phi1)) 1) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
2.169 * * * * [progress]: [ 42 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (pow (* (sin phi1) (sin phi2)) 1) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
2.169 * * * * [progress]: [ 43 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (exp (+ (log (sin phi1)) (log (sin phi2)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
2.169 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (exp (log (* (sin phi2) (sin phi1)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
2.169 * * * * [progress]: [ 44 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (exp (log (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
2.169 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (exp (log (* (sin phi2) (sin phi1)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
2.169 * * * * [progress]: [ 45 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
2.169 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (log (exp (* (sin phi2) (sin phi1)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
2.169 * * * * [progress]: [ 46 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
2.170 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1))) (* (sin phi2) (sin phi1)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
2.170 * * * * [progress]: [ 47 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
2.170 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cbrt (* (sin phi2) (sin phi1))) (cbrt (* (sin phi2) (sin phi1)))) (cbrt (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
2.170 * [simplify]: Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi2) (sin phi1)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
2.170 * * * * [progress]: [ 48 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
2.170 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1))) (* (sin phi2) (sin phi1)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
2.170 * * * * [progress]: [ 49 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
2.170 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sqrt (* (sin phi2) (sin phi1))) (sqrt (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
2.170 * [simplify]: Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi2) (sin phi1)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
2.170 * * * * [progress]: [ 50 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* 1 (* (sin phi1) (sin phi2))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
2.170 * * * * [progress]: [ 51 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
2.170 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
2.170 * [simplify]: Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
2.171 * * * * [progress]: [ 52 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (cbrt (sin phi2))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
2.171 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (* (cbrt (sin phi2)) (cbrt (sin phi2))) (sin phi1)) (cbrt (sin phi2))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
2.171 * * * * [progress]: [ 53 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) (sqrt (sin phi2))) (sqrt (sin phi2))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
2.171 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) (sqrt (sin phi2))) (sqrt (sin phi2))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
2.171 * * * * [progress]: [ 54 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) 1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
2.171 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
2.171 * * * * [progress]: [ 55 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cbrt (sin phi1)) (cbrt (sin phi1))) (* (cbrt (sin phi1)) (sin phi2))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
2.171 * [simplify]: Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cbrt (sin phi1)) (cbrt (sin phi1))) (* (sin phi2) (cbrt (sin phi1)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
2.171 * * * * [progress]: [ 56 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sqrt (sin phi1)) (* (sqrt (sin phi1)) (sin phi2))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
2.171 * [simplify]: Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sqrt (sin phi1)) (* (sqrt (sin phi1)) (sin phi2))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
2.171 * * * * [progress]: [ 57 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* 1 (* (sin phi1) (sin phi2))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
2.171 * [simplify]: Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* 1 (* (sin phi2) (sin phi1))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
2.171 * * * * [progress]: [ 58 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (posit16->real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
2.171 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (posit16->real (real->posit16 (* (sin phi2) (sin phi1)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
2.172 * * * * [progress]: [ 59 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
2.172 * * * * [progress]: [ 60 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2)))))) R))>
2.172 * [simplify]: Simplified (2 1 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ 1 (* lambda1 (- lambda2 (* 1/2 lambda1))))))) R))
2.172 * * * * [progress]: [ 61 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
2.172 * [simplify]: Simplified (2 1 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
2.172 * * * * [progress]: [ 62 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
2.172 * [simplify]: Simplified (2 1 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
2.172 * * * * [progress]: [ 63 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R))>
2.172 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R))
2.172 * * * * [progress]: [ 64 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R))>
2.172 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R))
2.172 * * * * [progress]: [ 65 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R))>
2.172 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R))
2.172 * * * * [progress]: [ 66 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R))>
2.172 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R))
2.172 * * * * [progress]: [ 67 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R))>
2.172 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R))
2.172 * * * * [progress]: [ 68 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R))>
2.173 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (sin phi1)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R))
2.173 * * * * [progress]: [ 69 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* phi1 phi2) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
2.173 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* phi2 phi1) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
2.173 * * * * [progress]: [ 70 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
2.173 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
2.173 * * * * [progress]: [ 71 / 71 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
2.173 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
2.173 * * * [progress]: adding candidates to table
3.326 * * [progress]: iteration 2 / 4
3.326 * * * [progress]: picking best candidate
3.480 * * * * [pick]: Picked  #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
3.480 * * * [progress]: localizing error
3.595 * * * [progress]: generating rewritten candidates
3.595 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1)
3.597 * * * * [progress]: [ 2 / 4 ] rewriting at (2)
3.602 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1)
3.613 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 2 2)
3.623 * * * [progress]: generating series expansions
3.623 * * * * [progress]: [ 1 / 4 ] generating series at (2 1)
3.624 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
3.624 * [approximate]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in (phi1 phi2 lambda1 lambda2) around 0
3.624 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2
3.624 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
3.624 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1
3.624 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
3.624 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2
3.625 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
3.625 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1
3.625 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
3.625 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1
3.625 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
3.625 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2
3.626 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
3.626 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1
3.626 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
3.626 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2
3.626 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
3.627 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
3.627 * [taylor]: Taking taylor expansion of 0 in phi2
3.627 * [backup-simplify]: Simplify 0 into 0
3.627 * [taylor]: Taking taylor expansion of 0 in lambda1
3.627 * [backup-simplify]: Simplify 0 into 0
3.627 * [taylor]: Taking taylor expansion of 0 in lambda2
3.627 * [backup-simplify]: Simplify 0 into 0
3.627 * [backup-simplify]: Simplify 0 into 0
3.627 * [taylor]: Taking taylor expansion of 0 in lambda1
3.627 * [backup-simplify]: Simplify 0 into 0
3.627 * [taylor]: Taking taylor expansion of 0 in lambda2
3.627 * [backup-simplify]: Simplify 0 into 0
3.627 * [backup-simplify]: Simplify 0 into 0
3.627 * [taylor]: Taking taylor expansion of 0 in lambda2
3.627 * [backup-simplify]: Simplify 0 into 0
3.627 * [backup-simplify]: Simplify 0 into 0
3.627 * [backup-simplify]: Simplify 0 into 0
3.627 * [taylor]: Taking taylor expansion of 0 in phi2
3.627 * [backup-simplify]: Simplify 0 into 0
3.627 * [taylor]: Taking taylor expansion of 0 in lambda1
3.627 * [backup-simplify]: Simplify 0 into 0
3.627 * [taylor]: Taking taylor expansion of 0 in lambda2
3.627 * [backup-simplify]: Simplify 0 into 0
3.627 * [backup-simplify]: Simplify 0 into 0
3.627 * [taylor]: Taking taylor expansion of 0 in lambda1
3.627 * [backup-simplify]: Simplify 0 into 0
3.627 * [taylor]: Taking taylor expansion of 0 in lambda2
3.627 * [backup-simplify]: Simplify 0 into 0
3.627 * [backup-simplify]: Simplify 0 into 0
3.628 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
3.628 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
3.628 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0
3.628 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2
3.628 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
3.628 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1
3.629 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
3.629 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2
3.629 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
3.629 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1
3.630 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
3.630 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1
3.630 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
3.630 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2
3.631 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
3.631 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1
3.632 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
3.632 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2
3.632 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
3.633 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
3.633 * [taylor]: Taking taylor expansion of 0 in phi2
3.633 * [backup-simplify]: Simplify 0 into 0
3.633 * [taylor]: Taking taylor expansion of 0 in lambda1
3.633 * [backup-simplify]: Simplify 0 into 0
3.633 * [taylor]: Taking taylor expansion of 0 in lambda2
3.633 * [backup-simplify]: Simplify 0 into 0
3.633 * [backup-simplify]: Simplify 0 into 0
3.634 * [taylor]: Taking taylor expansion of 0 in lambda1
3.634 * [backup-simplify]: Simplify 0 into 0
3.634 * [taylor]: Taking taylor expansion of 0 in lambda2
3.634 * [backup-simplify]: Simplify 0 into 0
3.634 * [backup-simplify]: Simplify 0 into 0
3.634 * [taylor]: Taking taylor expansion of 0 in lambda2
3.634 * [backup-simplify]: Simplify 0 into 0
3.634 * [backup-simplify]: Simplify 0 into 0
3.634 * [backup-simplify]: Simplify 0 into 0
3.634 * [taylor]: Taking taylor expansion of 0 in phi2
3.634 * [backup-simplify]: Simplify 0 into 0
3.634 * [taylor]: Taking taylor expansion of 0 in lambda1
3.634 * [backup-simplify]: Simplify 0 into 0
3.634 * [taylor]: Taking taylor expansion of 0 in lambda2
3.634 * [backup-simplify]: Simplify 0 into 0
3.634 * [backup-simplify]: Simplify 0 into 0
3.634 * [taylor]: Taking taylor expansion of 0 in lambda1
3.634 * [backup-simplify]: Simplify 0 into 0
3.634 * [taylor]: Taking taylor expansion of 0 in lambda2
3.635 * [backup-simplify]: Simplify 0 into 0
3.635 * [backup-simplify]: Simplify 0 into 0
3.635 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1))))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))
3.636 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
3.636 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0
3.636 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2
3.637 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
3.637 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1
3.638 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
3.638 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2
3.639 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
3.639 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1
3.640 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
3.640 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1
3.640 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
3.641 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in phi2
3.641 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
3.641 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1
3.642 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
3.642 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in lambda2
3.643 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
3.644 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
3.644 * [taylor]: Taking taylor expansion of 0 in phi2
3.644 * [backup-simplify]: Simplify 0 into 0
3.644 * [taylor]: Taking taylor expansion of 0 in lambda1
3.644 * [backup-simplify]: Simplify 0 into 0
3.644 * [taylor]: Taking taylor expansion of 0 in lambda2
3.644 * [backup-simplify]: Simplify 0 into 0
3.644 * [backup-simplify]: Simplify 0 into 0
3.644 * [taylor]: Taking taylor expansion of 0 in lambda1
3.644 * [backup-simplify]: Simplify 0 into 0
3.644 * [taylor]: Taking taylor expansion of 0 in lambda2
3.644 * [backup-simplify]: Simplify 0 into 0
3.644 * [backup-simplify]: Simplify 0 into 0
3.645 * [taylor]: Taking taylor expansion of 0 in lambda2
3.645 * [backup-simplify]: Simplify 0 into 0
3.645 * [backup-simplify]: Simplify 0 into 0
3.645 * [backup-simplify]: Simplify 0 into 0
3.645 * [taylor]: Taking taylor expansion of 0 in phi2
3.645 * [backup-simplify]: Simplify 0 into 0
3.645 * [taylor]: Taking taylor expansion of 0 in lambda1
3.645 * [backup-simplify]: Simplify 0 into 0
3.645 * [taylor]: Taking taylor expansion of 0 in lambda2
3.645 * [backup-simplify]: Simplify 0 into 0
3.645 * [backup-simplify]: Simplify 0 into 0
3.645 * [taylor]: Taking taylor expansion of 0 in lambda1
3.645 * [backup-simplify]: Simplify 0 into 0
3.645 * [taylor]: Taking taylor expansion of 0 in lambda2
3.645 * [backup-simplify]: Simplify 0 into 0
3.645 * [backup-simplify]: Simplify 0 into 0
3.646 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- lambda2)))) (cos (/ -1 (/ 1 (- phi2)))))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
3.646 * * * * [progress]: [ 2 / 4 ] generating series at (2)
3.647 * [backup-simplify]: Simplify (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
3.647 * [approximate]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in (phi1 phi2 lambda1 lambda2 R) around 0
3.647 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in R
3.647 * [taylor]: Taking taylor expansion of R in R
3.647 * [backup-simplify]: Simplify 0 into 0
3.647 * [backup-simplify]: Simplify 1 into 1
3.647 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in R
3.647 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
3.647 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2
3.648 * [taylor]: Taking taylor expansion of R in lambda2
3.648 * [backup-simplify]: Simplify R into R
3.648 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2
3.652 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
3.652 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1
3.652 * [taylor]: Taking taylor expansion of R in lambda1
3.652 * [backup-simplify]: Simplify R into R
3.652 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1
3.653 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
3.653 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2
3.653 * [taylor]: Taking taylor expansion of R in phi2
3.653 * [backup-simplify]: Simplify R into R
3.653 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2
3.654 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
3.654 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1
3.654 * [taylor]: Taking taylor expansion of R in phi1
3.654 * [backup-simplify]: Simplify R into R
3.654 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1
3.654 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
3.654 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1
3.654 * [taylor]: Taking taylor expansion of R in phi1
3.654 * [backup-simplify]: Simplify R into R
3.654 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1
3.655 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
3.656 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
3.656 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2
3.656 * [taylor]: Taking taylor expansion of R in phi2
3.656 * [backup-simplify]: Simplify R into R
3.656 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2
3.656 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
3.657 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
3.657 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1
3.657 * [taylor]: Taking taylor expansion of R in lambda1
3.657 * [backup-simplify]: Simplify R into R
3.657 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1
3.658 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
3.658 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
3.658 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2
3.658 * [taylor]: Taking taylor expansion of R in lambda2
3.658 * [backup-simplify]: Simplify R into R
3.658 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2
3.659 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
3.660 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
3.660 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in R
3.660 * [taylor]: Taking taylor expansion of R in R
3.660 * [backup-simplify]: Simplify 0 into 0
3.660 * [backup-simplify]: Simplify 1 into 1
3.660 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in R
3.660 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
3.661 * [backup-simplify]: Simplify (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into 0
3.661 * [backup-simplify]: Simplify 0 into 0
3.662 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0
3.662 * [taylor]: Taking taylor expansion of 0 in phi2
3.662 * [backup-simplify]: Simplify 0 into 0
3.662 * [taylor]: Taking taylor expansion of 0 in lambda1
3.662 * [backup-simplify]: Simplify 0 into 0
3.662 * [taylor]: Taking taylor expansion of 0 in lambda2
3.662 * [backup-simplify]: Simplify 0 into 0
3.662 * [taylor]: Taking taylor expansion of 0 in R
3.662 * [backup-simplify]: Simplify 0 into 0
3.662 * [backup-simplify]: Simplify 0 into 0
3.663 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0
3.663 * [taylor]: Taking taylor expansion of 0 in lambda1
3.663 * [backup-simplify]: Simplify 0 into 0
3.663 * [taylor]: Taking taylor expansion of 0 in lambda2
3.663 * [backup-simplify]: Simplify 0 into 0
3.663 * [taylor]: Taking taylor expansion of 0 in R
3.663 * [backup-simplify]: Simplify 0 into 0
3.663 * [backup-simplify]: Simplify 0 into 0
3.663 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0
3.663 * [taylor]: Taking taylor expansion of 0 in lambda2
3.663 * [backup-simplify]: Simplify 0 into 0
3.663 * [taylor]: Taking taylor expansion of 0 in R
3.663 * [backup-simplify]: Simplify 0 into 0
3.663 * [backup-simplify]: Simplify 0 into 0
3.664 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0
3.664 * [taylor]: Taking taylor expansion of 0 in R
3.664 * [backup-simplify]: Simplify 0 into 0
3.664 * [backup-simplify]: Simplify 0 into 0
3.666 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
3.666 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
3.667 * [backup-simplify]: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0
3.667 * [taylor]: Taking taylor expansion of 0 in phi2
3.667 * [backup-simplify]: Simplify 0 into 0
3.668 * [taylor]: Taking taylor expansion of 0 in lambda1
3.668 * [backup-simplify]: Simplify 0 into 0
3.668 * [taylor]: Taking taylor expansion of 0 in lambda2
3.668 * [backup-simplify]: Simplify 0 into 0
3.668 * [taylor]: Taking taylor expansion of 0 in R
3.668 * [backup-simplify]: Simplify 0 into 0
3.668 * [backup-simplify]: Simplify 0 into 0
3.668 * [taylor]: Taking taylor expansion of 0 in lambda1
3.668 * [backup-simplify]: Simplify 0 into 0
3.668 * [taylor]: Taking taylor expansion of 0 in lambda2
3.668 * [backup-simplify]: Simplify 0 into 0
3.668 * [taylor]: Taking taylor expansion of 0 in R
3.668 * [backup-simplify]: Simplify 0 into 0
3.668 * [backup-simplify]: Simplify 0 into 0
3.669 * [backup-simplify]: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0
3.669 * [taylor]: Taking taylor expansion of 0 in lambda1
3.669 * [backup-simplify]: Simplify 0 into 0
3.669 * [taylor]: Taking taylor expansion of 0 in lambda2
3.669 * [backup-simplify]: Simplify 0 into 0
3.669 * [taylor]: Taking taylor expansion of 0 in R
3.669 * [backup-simplify]: Simplify 0 into 0
3.669 * [backup-simplify]: Simplify 0 into 0
3.669 * [taylor]: Taking taylor expansion of 0 in lambda2
3.669 * [backup-simplify]: Simplify 0 into 0
3.669 * [taylor]: Taking taylor expansion of 0 in R
3.669 * [backup-simplify]: Simplify 0 into 0
3.669 * [backup-simplify]: Simplify 0 into 0
3.669 * [taylor]: Taking taylor expansion of 0 in lambda2
3.669 * [backup-simplify]: Simplify 0 into 0
3.669 * [taylor]: Taking taylor expansion of 0 in R
3.669 * [backup-simplify]: Simplify 0 into 0
3.670 * [backup-simplify]: Simplify 0 into 0
3.671 * [backup-simplify]: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0
3.671 * [taylor]: Taking taylor expansion of 0 in lambda2
3.671 * [backup-simplify]: Simplify 0 into 0
3.671 * [taylor]: Taking taylor expansion of 0 in R
3.671 * [backup-simplify]: Simplify 0 into 0
3.671 * [backup-simplify]: Simplify 0 into 0
3.672 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (* R (* 1 (* 1 (* 1 1))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
3.673 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) (/ 1 R)) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
3.673 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0
3.673 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in R
3.673 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in R
3.674 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
3.674 * [taylor]: Taking taylor expansion of R in R
3.674 * [backup-simplify]: Simplify 0 into 0
3.674 * [backup-simplify]: Simplify 1 into 1
3.675 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 1) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
3.675 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda2
3.675 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2
3.675 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
3.675 * [taylor]: Taking taylor expansion of R in lambda2
3.675 * [backup-simplify]: Simplify R into R
3.676 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
3.676 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda1
3.676 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1
3.677 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
3.677 * [taylor]: Taking taylor expansion of R in lambda1
3.677 * [backup-simplify]: Simplify R into R
3.678 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
3.678 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi2
3.678 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2
3.679 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
3.679 * [taylor]: Taking taylor expansion of R in phi2
3.679 * [backup-simplify]: Simplify R into R
3.679 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
3.679 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi1
3.679 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1
3.679 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
3.680 * [taylor]: Taking taylor expansion of R in phi1
3.680 * [backup-simplify]: Simplify R into R
3.680 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
3.680 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi1
3.680 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1
3.680 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
3.680 * [taylor]: Taking taylor expansion of R in phi1
3.680 * [backup-simplify]: Simplify R into R
3.681 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
3.681 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi2
3.681 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2
3.681 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
3.681 * [taylor]: Taking taylor expansion of R in phi2
3.681 * [backup-simplify]: Simplify R into R
3.682 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
3.682 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda1
3.682 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1
3.682 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
3.682 * [taylor]: Taking taylor expansion of R in lambda1
3.682 * [backup-simplify]: Simplify R into R
3.683 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
3.683 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda2
3.683 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2
3.683 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
3.683 * [taylor]: Taking taylor expansion of R in lambda2
3.683 * [backup-simplify]: Simplify R into R
3.684 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
3.684 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in R
3.684 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in R
3.684 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
3.684 * [taylor]: Taking taylor expansion of R in R
3.684 * [backup-simplify]: Simplify 0 into 0
3.684 * [backup-simplify]: Simplify 1 into 1
3.685 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 1) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
3.685 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
3.686 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0
3.686 * [taylor]: Taking taylor expansion of 0 in phi2
3.686 * [backup-simplify]: Simplify 0 into 0
3.686 * [taylor]: Taking taylor expansion of 0 in lambda1
3.686 * [backup-simplify]: Simplify 0 into 0
3.686 * [taylor]: Taking taylor expansion of 0 in lambda2
3.686 * [backup-simplify]: Simplify 0 into 0
3.686 * [taylor]: Taking taylor expansion of 0 in R
3.686 * [backup-simplify]: Simplify 0 into 0
3.686 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0
3.686 * [taylor]: Taking taylor expansion of 0 in lambda1
3.686 * [backup-simplify]: Simplify 0 into 0
3.686 * [taylor]: Taking taylor expansion of 0 in lambda2
3.686 * [backup-simplify]: Simplify 0 into 0
3.686 * [taylor]: Taking taylor expansion of 0 in R
3.686 * [backup-simplify]: Simplify 0 into 0
3.687 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0
3.687 * [taylor]: Taking taylor expansion of 0 in lambda2
3.687 * [backup-simplify]: Simplify 0 into 0
3.687 * [taylor]: Taking taylor expansion of 0 in R
3.687 * [backup-simplify]: Simplify 0 into 0
3.687 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0
3.688 * [taylor]: Taking taylor expansion of 0 in R
3.688 * [backup-simplify]: Simplify 0 into 0
3.689 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) (/ 0 1)))) into 0
3.689 * [backup-simplify]: Simplify 0 into 0
3.689 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
3.689 * [taylor]: Taking taylor expansion of 0 in phi2
3.689 * [backup-simplify]: Simplify 0 into 0
3.689 * [taylor]: Taking taylor expansion of 0 in lambda1
3.689 * [backup-simplify]: Simplify 0 into 0
3.689 * [taylor]: Taking taylor expansion of 0 in lambda2
3.689 * [backup-simplify]: Simplify 0 into 0
3.689 * [taylor]: Taking taylor expansion of 0 in R
3.689 * [backup-simplify]: Simplify 0 into 0
3.689 * [taylor]: Taking taylor expansion of 0 in lambda1
3.690 * [backup-simplify]: Simplify 0 into 0
3.690 * [taylor]: Taking taylor expansion of 0 in lambda2
3.690 * [backup-simplify]: Simplify 0 into 0
3.690 * [taylor]: Taking taylor expansion of 0 in R
3.690 * [backup-simplify]: Simplify 0 into 0
3.690 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
3.690 * [taylor]: Taking taylor expansion of 0 in lambda1
3.690 * [backup-simplify]: Simplify 0 into 0
3.690 * [taylor]: Taking taylor expansion of 0 in lambda2
3.690 * [backup-simplify]: Simplify 0 into 0
3.690 * [taylor]: Taking taylor expansion of 0 in R
3.690 * [backup-simplify]: Simplify 0 into 0
3.690 * [taylor]: Taking taylor expansion of 0 in lambda2
3.690 * [backup-simplify]: Simplify 0 into 0
3.690 * [taylor]: Taking taylor expansion of 0 in R
3.690 * [backup-simplify]: Simplify 0 into 0
3.690 * [taylor]: Taking taylor expansion of 0 in lambda2
3.690 * [backup-simplify]: Simplify 0 into 0
3.690 * [taylor]: Taking taylor expansion of 0 in R
3.690 * [backup-simplify]: Simplify 0 into 0
3.691 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
3.691 * [taylor]: Taking taylor expansion of 0 in lambda2
3.691 * [backup-simplify]: Simplify 0 into 0
3.691 * [taylor]: Taking taylor expansion of 0 in R
3.691 * [backup-simplify]: Simplify 0 into 0
3.691 * [taylor]: Taking taylor expansion of 0 in R
3.691 * [backup-simplify]: Simplify 0 into 0
3.691 * [taylor]: Taking taylor expansion of 0 in R
3.691 * [backup-simplify]: Simplify 0 into 0
3.691 * [taylor]: Taking taylor expansion of 0 in R
3.691 * [backup-simplify]: Simplify 0 into 0
3.692 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
3.692 * [taylor]: Taking taylor expansion of 0 in R
3.692 * [backup-simplify]: Simplify 0 into 0
3.692 * [backup-simplify]: Simplify 0 into 0
3.692 * [backup-simplify]: Simplify 0 into 0
3.692 * [backup-simplify]: Simplify 0 into 0
3.692 * [backup-simplify]: Simplify 0 into 0
3.693 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.693 * [backup-simplify]: Simplify 0 into 0
3.694 * [backup-simplify]: Simplify (* (acos (+ (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1))))))))) (* (/ 1 (/ 1 R)) (* 1 (* 1 (* 1 1))))) into (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R)
3.695 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) (/ 1 (- R))) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R))
3.695 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0
3.695 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in R
3.695 * [taylor]: Taking taylor expansion of -1 in R
3.695 * [backup-simplify]: Simplify -1 into -1
3.695 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in R
3.695 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in R
3.696 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
3.696 * [taylor]: Taking taylor expansion of R in R
3.696 * [backup-simplify]: Simplify 0 into 0
3.696 * [backup-simplify]: Simplify 1 into 1
3.696 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 1) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
3.696 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in lambda2
3.696 * [taylor]: Taking taylor expansion of -1 in lambda2
3.696 * [backup-simplify]: Simplify -1 into -1
3.696 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in lambda2
3.696 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2
3.697 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
3.697 * [taylor]: Taking taylor expansion of R in lambda2
3.697 * [backup-simplify]: Simplify R into R
3.697 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)
3.697 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in lambda1
3.697 * [taylor]: Taking taylor expansion of -1 in lambda1
3.697 * [backup-simplify]: Simplify -1 into -1
3.697 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in lambda1
3.697 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1
3.698 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
3.698 * [taylor]: Taking taylor expansion of R in lambda1
3.698 * [backup-simplify]: Simplify R into R
3.698 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)
3.698 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in phi2
3.698 * [taylor]: Taking taylor expansion of -1 in phi2
3.698 * [backup-simplify]: Simplify -1 into -1
3.698 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in phi2
3.698 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2
3.699 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
3.699 * [taylor]: Taking taylor expansion of R in phi2
3.699 * [backup-simplify]: Simplify R into R
3.699 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)
3.699 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in phi1
3.699 * [taylor]: Taking taylor expansion of -1 in phi1
3.699 * [backup-simplify]: Simplify -1 into -1
3.699 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in phi1
3.699 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1
3.700 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
3.700 * [taylor]: Taking taylor expansion of R in phi1
3.700 * [backup-simplify]: Simplify R into R
3.700 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)
3.700 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in phi1
3.700 * [taylor]: Taking taylor expansion of -1 in phi1
3.700 * [backup-simplify]: Simplify -1 into -1
3.700 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in phi1
3.700 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1
3.701 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
3.701 * [taylor]: Taking taylor expansion of R in phi1
3.701 * [backup-simplify]: Simplify R into R
3.701 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)
3.702 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R))
3.702 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) in phi2
3.702 * [taylor]: Taking taylor expansion of -1 in phi2
3.702 * [backup-simplify]: Simplify -1 into -1
3.702 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) in phi2
3.702 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in phi2
3.702 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
3.702 * [taylor]: Taking taylor expansion of R in phi2
3.702 * [backup-simplify]: Simplify R into R
3.703 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)
3.703 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R))
3.703 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in lambda1
3.703 * [taylor]: Taking taylor expansion of -1 in lambda1
3.703 * [backup-simplify]: Simplify -1 into -1
3.703 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in lambda1
3.703 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1
3.704 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
3.704 * [taylor]: Taking taylor expansion of R in lambda1
3.704 * [backup-simplify]: Simplify R into R
3.704 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)
3.704 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R))
3.705 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) in lambda2
3.705 * [taylor]: Taking taylor expansion of -1 in lambda2
3.705 * [backup-simplify]: Simplify -1 into -1
3.705 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) in lambda2
3.705 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in lambda2
3.705 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
3.705 * [taylor]: Taking taylor expansion of R in lambda2
3.705 * [backup-simplify]: Simplify R into R
3.705 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)
3.706 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R))
3.706 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in R
3.706 * [taylor]: Taking taylor expansion of -1 in R
3.706 * [backup-simplify]: Simplify -1 into -1
3.706 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in R
3.706 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in R
3.707 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
3.707 * [taylor]: Taking taylor expansion of R in R
3.707 * [backup-simplify]: Simplify 0 into 0
3.707 * [backup-simplify]: Simplify 1 into 1
3.707 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 1) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
3.708 * [backup-simplify]: Simplify (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) into (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))))
3.708 * [backup-simplify]: Simplify (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))
3.709 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)))) into 0
3.709 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R))) into 0
3.709 * [taylor]: Taking taylor expansion of 0 in phi2
3.710 * [backup-simplify]: Simplify 0 into 0
3.710 * [taylor]: Taking taylor expansion of 0 in lambda1
3.710 * [backup-simplify]: Simplify 0 into 0
3.710 * [taylor]: Taking taylor expansion of 0 in lambda2
3.710 * [backup-simplify]: Simplify 0 into 0
3.710 * [taylor]: Taking taylor expansion of 0 in R
3.710 * [backup-simplify]: Simplify 0 into 0
3.710 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)))) into 0
3.711 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R))) into 0
3.712 * [taylor]: Taking taylor expansion of 0 in lambda1
3.712 * [backup-simplify]: Simplify 0 into 0
3.712 * [taylor]: Taking taylor expansion of 0 in lambda2
3.712 * [backup-simplify]: Simplify 0 into 0
3.712 * [taylor]: Taking taylor expansion of 0 in R
3.712 * [backup-simplify]: Simplify 0 into 0
3.713 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)))) into 0
3.714 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R))) into 0
3.714 * [taylor]: Taking taylor expansion of 0 in lambda2
3.715 * [backup-simplify]: Simplify 0 into 0
3.715 * [taylor]: Taking taylor expansion of 0 in R
3.715 * [backup-simplify]: Simplify 0 into 0
3.716 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)))) into 0
3.717 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R))) into 0
3.717 * [taylor]: Taking taylor expansion of 0 in R
3.717 * [backup-simplify]: Simplify 0 into 0
3.719 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) (/ 0 1)))) into 0
3.720 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))) into 0
3.720 * [backup-simplify]: Simplify 0 into 0
3.721 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
3.723 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)))) into 0
3.723 * [taylor]: Taking taylor expansion of 0 in phi2
3.723 * [backup-simplify]: Simplify 0 into 0
3.723 * [taylor]: Taking taylor expansion of 0 in lambda1
3.723 * [backup-simplify]: Simplify 0 into 0
3.723 * [taylor]: Taking taylor expansion of 0 in lambda2
3.723 * [backup-simplify]: Simplify 0 into 0
3.723 * [taylor]: Taking taylor expansion of 0 in R
3.723 * [backup-simplify]: Simplify 0 into 0
3.723 * [taylor]: Taking taylor expansion of 0 in lambda1
3.723 * [backup-simplify]: Simplify 0 into 0
3.723 * [taylor]: Taking taylor expansion of 0 in lambda2
3.723 * [backup-simplify]: Simplify 0 into 0
3.723 * [taylor]: Taking taylor expansion of 0 in R
3.723 * [backup-simplify]: Simplify 0 into 0
3.724 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
3.726 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)))) into 0
3.726 * [taylor]: Taking taylor expansion of 0 in lambda1
3.726 * [backup-simplify]: Simplify 0 into 0
3.726 * [taylor]: Taking taylor expansion of 0 in lambda2
3.726 * [backup-simplify]: Simplify 0 into 0
3.726 * [taylor]: Taking taylor expansion of 0 in R
3.726 * [backup-simplify]: Simplify 0 into 0
3.726 * [taylor]: Taking taylor expansion of 0 in lambda2
3.726 * [backup-simplify]: Simplify 0 into 0
3.726 * [taylor]: Taking taylor expansion of 0 in R
3.726 * [backup-simplify]: Simplify 0 into 0
3.727 * [taylor]: Taking taylor expansion of 0 in lambda2
3.727 * [backup-simplify]: Simplify 0 into 0
3.727 * [taylor]: Taking taylor expansion of 0 in R
3.727 * [backup-simplify]: Simplify 0 into 0
3.728 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
3.729 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)))) into 0
3.729 * [taylor]: Taking taylor expansion of 0 in lambda2
3.730 * [backup-simplify]: Simplify 0 into 0
3.730 * [taylor]: Taking taylor expansion of 0 in R
3.730 * [backup-simplify]: Simplify 0 into 0
3.730 * [taylor]: Taking taylor expansion of 0 in R
3.730 * [backup-simplify]: Simplify 0 into 0
3.730 * [taylor]: Taking taylor expansion of 0 in R
3.730 * [backup-simplify]: Simplify 0 into 0
3.730 * [taylor]: Taking taylor expansion of 0 in R
3.730 * [backup-simplify]: Simplify 0 into 0
3.731 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
3.733 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)))) into 0
3.733 * [taylor]: Taking taylor expansion of 0 in R
3.733 * [backup-simplify]: Simplify 0 into 0
3.733 * [backup-simplify]: Simplify 0 into 0
3.733 * [backup-simplify]: Simplify 0 into 0
3.733 * [backup-simplify]: Simplify 0 into 0
3.733 * [backup-simplify]: Simplify 0 into 0
3.735 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.737 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))))) into 0
3.737 * [backup-simplify]: Simplify 0 into 0
3.739 * [backup-simplify]: Simplify (* (* -1 (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2))))))))))) (* (/ 1 (/ 1 (- R))) (* 1 (* 1 (* 1 1))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
3.739 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1)
3.739 * [backup-simplify]: Simplify (* (sin phi1) (sin phi2)) into (* (sin phi1) (sin phi2))
3.739 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0
3.739 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2
3.739 * [taylor]: Taking taylor expansion of (sin phi1) in phi2
3.739 * [taylor]: Taking taylor expansion of phi1 in phi2
3.739 * [backup-simplify]: Simplify phi1 into phi1
3.739 * [backup-simplify]: Simplify (sin phi1) into (sin phi1)
3.739 * [backup-simplify]: Simplify (cos phi1) into (cos phi1)
3.739 * [taylor]: Taking taylor expansion of (sin phi2) in phi2
3.739 * [taylor]: Taking taylor expansion of phi2 in phi2
3.739 * [backup-simplify]: Simplify 0 into 0
3.739 * [backup-simplify]: Simplify 1 into 1
3.739 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1
3.739 * [taylor]: Taking taylor expansion of (sin phi1) in phi1
3.739 * [taylor]: Taking taylor expansion of phi1 in phi1
3.739 * [backup-simplify]: Simplify 0 into 0
3.739 * [backup-simplify]: Simplify 1 into 1
3.739 * [taylor]: Taking taylor expansion of (sin phi2) in phi1
3.739 * [taylor]: Taking taylor expansion of phi2 in phi1
3.740 * [backup-simplify]: Simplify phi2 into phi2
3.740 * [backup-simplify]: Simplify (sin phi2) into (sin phi2)
3.740 * [backup-simplify]: Simplify (cos phi2) into (cos phi2)
3.740 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1
3.740 * [taylor]: Taking taylor expansion of (sin phi1) in phi1
3.740 * [taylor]: Taking taylor expansion of phi1 in phi1
3.740 * [backup-simplify]: Simplify 0 into 0
3.740 * [backup-simplify]: Simplify 1 into 1
3.740 * [taylor]: Taking taylor expansion of (sin phi2) in phi1
3.740 * [taylor]: Taking taylor expansion of phi2 in phi1
3.740 * [backup-simplify]: Simplify phi2 into phi2
3.740 * [backup-simplify]: Simplify (sin phi2) into (sin phi2)
3.740 * [backup-simplify]: Simplify (cos phi2) into (cos phi2)
3.740 * [backup-simplify]: Simplify (* (sin phi2) 1) into (sin phi2)
3.740 * [backup-simplify]: Simplify (* (cos phi2) 0) into 0
3.740 * [backup-simplify]: Simplify (+ (sin phi2) 0) into (sin phi2)
3.740 * [backup-simplify]: Simplify (* 0 (sin phi2)) into 0
3.740 * [taylor]: Taking taylor expansion of 0 in phi2
3.740 * [backup-simplify]: Simplify 0 into 0
3.740 * [backup-simplify]: Simplify 0 into 0
3.741 * [backup-simplify]: Simplify (+ 0) into 0
3.741 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (* 0 1)) into 0
3.742 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.742 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (* 0 0)) into 0
3.743 * [backup-simplify]: Simplify (+ 0 0) into 0
3.744 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.744 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin phi2))) into (sin phi2)
3.744 * [taylor]: Taking taylor expansion of (sin phi2) in phi2
3.744 * [taylor]: Taking taylor expansion of phi2 in phi2
3.744 * [backup-simplify]: Simplify 0 into 0
3.744 * [backup-simplify]: Simplify 1 into 1
3.744 * [backup-simplify]: Simplify 0 into 0
3.744 * [backup-simplify]: Simplify 0 into 0
3.745 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.746 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (* 0 1))) into 0
3.747 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.747 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* 0 0))) into 0
3.748 * [backup-simplify]: Simplify (+ 0 0) into 0
3.749 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.749 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin phi2)))) into 0
3.750 * [taylor]: Taking taylor expansion of 0 in phi2
3.750 * [backup-simplify]: Simplify 0 into 0
3.750 * [backup-simplify]: Simplify 0 into 0
3.750 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.750 * [backup-simplify]: Simplify 1 into 1
3.750 * [backup-simplify]: Simplify 0 into 0
3.751 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
3.752 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.754 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
3.754 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
3.755 * [backup-simplify]: Simplify (+ 0 0) into 0
3.756 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
3.758 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin phi2))))) into (- (* 1/6 (sin phi2)))
3.758 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2
3.758 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2
3.758 * [taylor]: Taking taylor expansion of 1/6 in phi2
3.758 * [backup-simplify]: Simplify 1/6 into 1/6
3.758 * [taylor]: Taking taylor expansion of (sin phi2) in phi2
3.758 * [taylor]: Taking taylor expansion of phi2 in phi2
3.758 * [backup-simplify]: Simplify 0 into 0
3.758 * [backup-simplify]: Simplify 1 into 1
3.758 * [backup-simplify]: Simplify (* 1/6 0) into 0
3.759 * [backup-simplify]: Simplify (- 0) into 0
3.759 * [backup-simplify]: Simplify 0 into 0
3.759 * [backup-simplify]: Simplify 0 into 0
3.760 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.760 * [backup-simplify]: Simplify 0 into 0
3.760 * [backup-simplify]: Simplify 0 into 0
3.765 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0
3.766 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.767 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
3.768 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
3.769 * [backup-simplify]: Simplify (+ 0 0) into 0
3.770 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
3.771 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin phi2)))))) into 0
3.772 * [taylor]: Taking taylor expansion of 0 in phi2
3.772 * [backup-simplify]: Simplify 0 into 0
3.772 * [backup-simplify]: Simplify 0 into 0
3.772 * [backup-simplify]: Simplify (* 1 (* phi2 phi1)) into (* phi1 phi2)
3.772 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))
3.772 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in (phi1 phi2) around 0
3.772 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2
3.772 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2
3.772 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
3.772 * [taylor]: Taking taylor expansion of phi2 in phi2
3.772 * [backup-simplify]: Simplify 0 into 0
3.772 * [backup-simplify]: Simplify 1 into 1
3.772 * [backup-simplify]: Simplify (/ 1 1) into 1
3.772 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
3.773 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2
3.773 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
3.773 * [taylor]: Taking taylor expansion of phi1 in phi2
3.773 * [backup-simplify]: Simplify phi1 into phi1
3.773 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
3.773 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
3.773 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
3.773 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1
3.773 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1
3.773 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
3.773 * [taylor]: Taking taylor expansion of phi2 in phi1
3.773 * [backup-simplify]: Simplify phi2 into phi2
3.773 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
3.773 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
3.773 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
3.773 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1
3.773 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
3.773 * [taylor]: Taking taylor expansion of phi1 in phi1
3.773 * [backup-simplify]: Simplify 0 into 0
3.773 * [backup-simplify]: Simplify 1 into 1
3.774 * [backup-simplify]: Simplify (/ 1 1) into 1
3.774 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
3.774 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1
3.774 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1
3.774 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
3.774 * [taylor]: Taking taylor expansion of phi2 in phi1
3.774 * [backup-simplify]: Simplify phi2 into phi2
3.774 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
3.774 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
3.774 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
3.774 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1
3.774 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
3.774 * [taylor]: Taking taylor expansion of phi1 in phi1
3.774 * [backup-simplify]: Simplify 0 into 0
3.774 * [backup-simplify]: Simplify 1 into 1
3.775 * [backup-simplify]: Simplify (/ 1 1) into 1
3.775 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
3.775 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 1) into (sin (/ 1 phi2))
3.775 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 0) into 0
3.775 * [backup-simplify]: Simplify (+ (sin (/ 1 phi2)) 0) into (sin (/ 1 phi2))
3.775 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))
3.775 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2
3.775 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2
3.775 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
3.775 * [taylor]: Taking taylor expansion of phi2 in phi2
3.775 * [backup-simplify]: Simplify 0 into 0
3.775 * [backup-simplify]: Simplify 1 into 1
3.776 * [backup-simplify]: Simplify (/ 1 1) into 1
3.776 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
3.776 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2
3.776 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
3.776 * [taylor]: Taking taylor expansion of phi1 in phi2
3.776 * [backup-simplify]: Simplify phi1 into phi1
3.776 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
3.776 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
3.776 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
3.776 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 1) into (sin (/ 1 phi1))
3.776 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 0) into 0
3.776 * [backup-simplify]: Simplify (+ (sin (/ 1 phi1)) 0) into (sin (/ 1 phi1))
3.776 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))
3.776 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))
3.777 * [backup-simplify]: Simplify (+ 0) into 0
3.777 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 1)) into 0
3.778 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
3.778 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.779 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 0)) into 0
3.779 * [backup-simplify]: Simplify (+ 0 0) into 0
3.779 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0
3.779 * [taylor]: Taking taylor expansion of 0 in phi2
3.779 * [backup-simplify]: Simplify 0 into 0
3.779 * [backup-simplify]: Simplify 0 into 0
3.780 * [backup-simplify]: Simplify (+ 0) into 0
3.780 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 1)) into 0
3.780 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
3.781 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.782 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 0)) into 0
3.782 * [backup-simplify]: Simplify (+ 0 0) into 0
3.782 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0
3.782 * [backup-simplify]: Simplify 0 into 0
3.783 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.784 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0
3.784 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
3.785 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.785 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0
3.786 * [backup-simplify]: Simplify (+ 0 0) into 0
3.786 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0
3.786 * [taylor]: Taking taylor expansion of 0 in phi2
3.786 * [backup-simplify]: Simplify 0 into 0
3.786 * [backup-simplify]: Simplify 0 into 0
3.786 * [backup-simplify]: Simplify 0 into 0
3.787 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.788 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0
3.788 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
3.789 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.789 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0
3.790 * [backup-simplify]: Simplify (+ 0 0) into 0
3.790 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0
3.790 * [backup-simplify]: Simplify 0 into 0
3.791 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
3.792 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.792 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
3.794 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
3.794 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
3.795 * [backup-simplify]: Simplify (+ 0 0) into 0
3.796 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1)))))) into 0
3.796 * [taylor]: Taking taylor expansion of 0 in phi2
3.796 * [backup-simplify]: Simplify 0 into 0
3.796 * [backup-simplify]: Simplify 0 into 0
3.796 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) into (* (sin phi1) (sin phi2))
3.796 * [backup-simplify]: Simplify (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))
3.796 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0
3.796 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2
3.796 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2
3.796 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2
3.796 * [taylor]: Taking taylor expansion of -1 in phi2
3.796 * [backup-simplify]: Simplify -1 into -1
3.796 * [taylor]: Taking taylor expansion of phi1 in phi2
3.796 * [backup-simplify]: Simplify phi1 into phi1
3.796 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1)
3.796 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
3.797 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
3.797 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2
3.797 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2
3.797 * [taylor]: Taking taylor expansion of -1 in phi2
3.797 * [backup-simplify]: Simplify -1 into -1
3.797 * [taylor]: Taking taylor expansion of phi2 in phi2
3.797 * [backup-simplify]: Simplify 0 into 0
3.797 * [backup-simplify]: Simplify 1 into 1
3.797 * [backup-simplify]: Simplify (/ -1 1) into -1
3.797 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
3.797 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1
3.797 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1
3.797 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1
3.797 * [taylor]: Taking taylor expansion of -1 in phi1
3.797 * [backup-simplify]: Simplify -1 into -1
3.797 * [taylor]: Taking taylor expansion of phi1 in phi1
3.797 * [backup-simplify]: Simplify 0 into 0
3.797 * [backup-simplify]: Simplify 1 into 1
3.798 * [backup-simplify]: Simplify (/ -1 1) into -1
3.798 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
3.798 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1
3.798 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1
3.798 * [taylor]: Taking taylor expansion of -1 in phi1
3.798 * [backup-simplify]: Simplify -1 into -1
3.798 * [taylor]: Taking taylor expansion of phi2 in phi1
3.798 * [backup-simplify]: Simplify phi2 into phi2
3.798 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2)
3.798 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
3.798 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
3.798 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1
3.798 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1
3.798 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1
3.798 * [taylor]: Taking taylor expansion of -1 in phi1
3.798 * [backup-simplify]: Simplify -1 into -1
3.799 * [taylor]: Taking taylor expansion of phi1 in phi1
3.799 * [backup-simplify]: Simplify 0 into 0
3.799 * [backup-simplify]: Simplify 1 into 1
3.799 * [backup-simplify]: Simplify (/ -1 1) into -1
3.799 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
3.799 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1
3.799 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1
3.799 * [taylor]: Taking taylor expansion of -1 in phi1
3.799 * [backup-simplify]: Simplify -1 into -1
3.799 * [taylor]: Taking taylor expansion of phi2 in phi1
3.799 * [backup-simplify]: Simplify phi2 into phi2
3.799 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2)
3.799 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
3.799 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
3.800 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 1) into (sin (/ -1 phi2))
3.800 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 0) into 0
3.800 * [backup-simplify]: Simplify (+ (sin (/ -1 phi2)) 0) into (sin (/ -1 phi2))
3.800 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))
3.800 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2
3.800 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2
3.800 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2
3.800 * [taylor]: Taking taylor expansion of -1 in phi2
3.800 * [backup-simplify]: Simplify -1 into -1
3.800 * [taylor]: Taking taylor expansion of phi1 in phi2
3.800 * [backup-simplify]: Simplify phi1 into phi1
3.800 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1)
3.800 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
3.800 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
3.800 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2
3.800 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2
3.800 * [taylor]: Taking taylor expansion of -1 in phi2
3.800 * [backup-simplify]: Simplify -1 into -1
3.800 * [taylor]: Taking taylor expansion of phi2 in phi2
3.800 * [backup-simplify]: Simplify 0 into 0
3.800 * [backup-simplify]: Simplify 1 into 1
3.801 * [backup-simplify]: Simplify (/ -1 1) into -1
3.801 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
3.801 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 1) into (sin (/ -1 phi1))
3.801 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 0) into 0
3.801 * [backup-simplify]: Simplify (+ (sin (/ -1 phi1)) 0) into (sin (/ -1 phi1))
3.802 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))
3.802 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))
3.802 * [backup-simplify]: Simplify (+ 0) into 0
3.803 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 1)) into 0
3.803 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0
3.804 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.804 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 0)) into 0
3.804 * [backup-simplify]: Simplify (+ 0 0) into 0
3.804 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0
3.805 * [taylor]: Taking taylor expansion of 0 in phi2
3.805 * [backup-simplify]: Simplify 0 into 0
3.805 * [backup-simplify]: Simplify 0 into 0
3.805 * [backup-simplify]: Simplify (+ 0) into 0
3.806 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 1)) into 0
3.806 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0
3.807 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.807 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 0)) into 0
3.808 * [backup-simplify]: Simplify (+ 0 0) into 0
3.808 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0
3.808 * [backup-simplify]: Simplify 0 into 0
3.809 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.809 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0
3.810 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
3.810 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.811 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0
3.811 * [backup-simplify]: Simplify (+ 0 0) into 0
3.812 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0
3.812 * [taylor]: Taking taylor expansion of 0 in phi2
3.812 * [backup-simplify]: Simplify 0 into 0
3.812 * [backup-simplify]: Simplify 0 into 0
3.812 * [backup-simplify]: Simplify 0 into 0
3.813 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.814 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0
3.814 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
3.815 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.815 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0
3.816 * [backup-simplify]: Simplify (+ 0 0) into 0
3.816 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0
3.816 * [backup-simplify]: Simplify 0 into 0
3.817 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
3.818 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.818 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
3.820 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
3.820 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
3.821 * [backup-simplify]: Simplify (+ 0 0) into 0
3.822 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2)))))) into 0
3.822 * [taylor]: Taking taylor expansion of 0 in phi2
3.822 * [backup-simplify]: Simplify 0 into 0
3.822 * [backup-simplify]: Simplify 0 into 0
3.822 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) into (* (sin phi1) (sin phi2))
3.822 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 2 2)
3.822 * [backup-simplify]: Simplify (* (sin lambda1) (sin lambda2)) into (* (sin lambda1) (sin lambda2))
3.822 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0
3.822 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2
3.822 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2
3.822 * [taylor]: Taking taylor expansion of lambda1 in lambda2
3.822 * [backup-simplify]: Simplify lambda1 into lambda1
3.822 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1)
3.822 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1)
3.822 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2
3.822 * [taylor]: Taking taylor expansion of lambda2 in lambda2
3.822 * [backup-simplify]: Simplify 0 into 0
3.822 * [backup-simplify]: Simplify 1 into 1
3.822 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1
3.822 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1
3.823 * [taylor]: Taking taylor expansion of lambda1 in lambda1
3.823 * [backup-simplify]: Simplify 0 into 0
3.823 * [backup-simplify]: Simplify 1 into 1
3.823 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1
3.823 * [taylor]: Taking taylor expansion of lambda2 in lambda1
3.823 * [backup-simplify]: Simplify lambda2 into lambda2
3.823 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2)
3.823 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2)
3.823 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1
3.823 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1
3.823 * [taylor]: Taking taylor expansion of lambda1 in lambda1
3.823 * [backup-simplify]: Simplify 0 into 0
3.823 * [backup-simplify]: Simplify 1 into 1
3.823 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1
3.823 * [taylor]: Taking taylor expansion of lambda2 in lambda1
3.823 * [backup-simplify]: Simplify lambda2 into lambda2
3.823 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2)
3.823 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2)
3.823 * [backup-simplify]: Simplify (* (sin lambda2) 1) into (sin lambda2)
3.823 * [backup-simplify]: Simplify (* (cos lambda2) 0) into 0
3.823 * [backup-simplify]: Simplify (+ (sin lambda2) 0) into (sin lambda2)
3.823 * [backup-simplify]: Simplify (* 0 (sin lambda2)) into 0
3.823 * [taylor]: Taking taylor expansion of 0 in lambda2
3.823 * [backup-simplify]: Simplify 0 into 0
3.823 * [backup-simplify]: Simplify 0 into 0
3.824 * [backup-simplify]: Simplify (+ 0) into 0
3.824 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (* 0 1)) into 0
3.825 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.826 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (* 0 0)) into 0
3.826 * [backup-simplify]: Simplify (+ 0 0) into 0
3.827 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.827 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin lambda2))) into (sin lambda2)
3.827 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2
3.827 * [taylor]: Taking taylor expansion of lambda2 in lambda2
3.827 * [backup-simplify]: Simplify 0 into 0
3.827 * [backup-simplify]: Simplify 1 into 1
3.827 * [backup-simplify]: Simplify 0 into 0
3.827 * [backup-simplify]: Simplify 0 into 0
3.828 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.829 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (* 0 1))) into 0
3.830 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.830 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (* 0 0))) into 0
3.831 * [backup-simplify]: Simplify (+ 0 0) into 0
3.831 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.832 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin lambda2)))) into 0
3.832 * [taylor]: Taking taylor expansion of 0 in lambda2
3.832 * [backup-simplify]: Simplify 0 into 0
3.832 * [backup-simplify]: Simplify 0 into 0
3.833 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.833 * [backup-simplify]: Simplify 1 into 1
3.833 * [backup-simplify]: Simplify 0 into 0
3.834 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
3.835 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.836 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
3.837 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
3.837 * [backup-simplify]: Simplify (+ 0 0) into 0
3.839 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
3.840 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin lambda2))))) into (- (* 1/6 (sin lambda2)))
3.840 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin lambda2))) in lambda2
3.840 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2
3.840 * [taylor]: Taking taylor expansion of 1/6 in lambda2
3.840 * [backup-simplify]: Simplify 1/6 into 1/6
3.840 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2
3.840 * [taylor]: Taking taylor expansion of lambda2 in lambda2
3.840 * [backup-simplify]: Simplify 0 into 0
3.840 * [backup-simplify]: Simplify 1 into 1
3.841 * [backup-simplify]: Simplify (* 1/6 0) into 0
3.841 * [backup-simplify]: Simplify (- 0) into 0
3.841 * [backup-simplify]: Simplify 0 into 0
3.841 * [backup-simplify]: Simplify 0 into 0
3.842 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.842 * [backup-simplify]: Simplify 0 into 0
3.842 * [backup-simplify]: Simplify 0 into 0
3.845 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0
3.846 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.847 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
3.848 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
3.848 * [backup-simplify]: Simplify (+ 0 0) into 0
3.850 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
3.851 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin lambda2)))))) into 0
3.851 * [taylor]: Taking taylor expansion of 0 in lambda2
3.851 * [backup-simplify]: Simplify 0 into 0
3.851 * [backup-simplify]: Simplify 0 into 0
3.851 * [backup-simplify]: Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1)
3.852 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))
3.852 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in (lambda1 lambda2) around 0
3.852 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda2
3.852 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2
3.852 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
3.852 * [taylor]: Taking taylor expansion of lambda2 in lambda2
3.852 * [backup-simplify]: Simplify 0 into 0
3.852 * [backup-simplify]: Simplify 1 into 1
3.852 * [backup-simplify]: Simplify (/ 1 1) into 1
3.852 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2))
3.852 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2
3.852 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2
3.852 * [taylor]: Taking taylor expansion of lambda1 in lambda2
3.852 * [backup-simplify]: Simplify lambda1 into lambda1
3.852 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
3.853 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1))
3.853 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1))
3.853 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda1
3.853 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1
3.853 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
3.853 * [taylor]: Taking taylor expansion of lambda2 in lambda1
3.853 * [backup-simplify]: Simplify lambda2 into lambda2
3.853 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
3.853 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2))
3.853 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2))
3.853 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1
3.853 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
3.853 * [taylor]: Taking taylor expansion of lambda1 in lambda1
3.853 * [backup-simplify]: Simplify 0 into 0
3.853 * [backup-simplify]: Simplify 1 into 1
3.853 * [backup-simplify]: Simplify (/ 1 1) into 1
3.853 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1))
3.854 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda1
3.854 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1
3.854 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
3.854 * [taylor]: Taking taylor expansion of lambda2 in lambda1
3.854 * [backup-simplify]: Simplify lambda2 into lambda2
3.854 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
3.854 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2))
3.854 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2))
3.854 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1
3.854 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
3.854 * [taylor]: Taking taylor expansion of lambda1 in lambda1
3.854 * [backup-simplify]: Simplify 0 into 0
3.854 * [backup-simplify]: Simplify 1 into 1
3.854 * [backup-simplify]: Simplify (/ 1 1) into 1
3.854 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1))
3.854 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) 1) into (sin (/ 1 lambda2))
3.855 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) 0) into 0
3.855 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda2)) 0) into (sin (/ 1 lambda2))
3.855 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))
3.855 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda2
3.855 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2
3.855 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
3.855 * [taylor]: Taking taylor expansion of lambda2 in lambda2
3.855 * [backup-simplify]: Simplify 0 into 0
3.855 * [backup-simplify]: Simplify 1 into 1
3.855 * [backup-simplify]: Simplify (/ 1 1) into 1
3.855 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2))
3.855 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2
3.855 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2
3.855 * [taylor]: Taking taylor expansion of lambda1 in lambda2
3.855 * [backup-simplify]: Simplify lambda1 into lambda1
3.855 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
3.855 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1))
3.855 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1))
3.855 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) 1) into (sin (/ 1 lambda1))
3.855 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) 0) into 0
3.855 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda1)) 0) into (sin (/ 1 lambda1))
3.855 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))
3.856 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))
3.856 * [backup-simplify]: Simplify (+ 0) into 0
3.856 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 1)) into 0
3.856 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0
3.857 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.857 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 0)) into 0
3.857 * [backup-simplify]: Simplify (+ 0 0) into 0
3.857 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda1)))) into 0
3.857 * [taylor]: Taking taylor expansion of 0 in lambda2
3.857 * [backup-simplify]: Simplify 0 into 0
3.857 * [backup-simplify]: Simplify 0 into 0
3.858 * [backup-simplify]: Simplify (+ 0) into 0
3.858 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 1)) into 0
3.858 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0
3.858 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.859 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 0)) into 0
3.859 * [backup-simplify]: Simplify (+ 0 0) into 0
3.859 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda1)))) into 0
3.859 * [backup-simplify]: Simplify 0 into 0
3.860 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.860 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0
3.860 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0
3.861 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.861 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0
3.861 * [backup-simplify]: Simplify (+ 0 0) into 0
3.861 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0
3.861 * [taylor]: Taking taylor expansion of 0 in lambda2
3.862 * [backup-simplify]: Simplify 0 into 0
3.862 * [backup-simplify]: Simplify 0 into 0
3.862 * [backup-simplify]: Simplify 0 into 0
3.862 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.862 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0
3.863 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0
3.863 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.863 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0
3.864 * [backup-simplify]: Simplify (+ 0 0) into 0
3.864 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0
3.864 * [backup-simplify]: Simplify 0 into 0
3.865 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
3.865 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.865 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0
3.866 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
3.867 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
3.867 * [backup-simplify]: Simplify (+ 0 0) into 0
3.867 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1)))))) into 0
3.867 * [taylor]: Taking taylor expansion of 0 in lambda2
3.867 * [backup-simplify]: Simplify 0 into 0
3.867 * [backup-simplify]: Simplify 0 into 0
3.868 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 lambda2))) (sin (/ 1 (/ 1 lambda1)))) into (* (sin lambda2) (sin lambda1))
3.868 * [backup-simplify]: Simplify (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))
3.868 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0
3.868 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2
3.868 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2
3.868 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2
3.868 * [taylor]: Taking taylor expansion of -1 in lambda2
3.868 * [backup-simplify]: Simplify -1 into -1
3.868 * [taylor]: Taking taylor expansion of lambda1 in lambda2
3.868 * [backup-simplify]: Simplify lambda1 into lambda1
3.868 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1)
3.868 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1))
3.868 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1))
3.868 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2
3.868 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2
3.868 * [taylor]: Taking taylor expansion of -1 in lambda2
3.868 * [backup-simplify]: Simplify -1 into -1
3.868 * [taylor]: Taking taylor expansion of lambda2 in lambda2
3.868 * [backup-simplify]: Simplify 0 into 0
3.868 * [backup-simplify]: Simplify 1 into 1
3.868 * [backup-simplify]: Simplify (/ -1 1) into -1
3.868 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2))
3.868 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1
3.868 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1
3.868 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1
3.868 * [taylor]: Taking taylor expansion of -1 in lambda1
3.868 * [backup-simplify]: Simplify -1 into -1
3.868 * [taylor]: Taking taylor expansion of lambda1 in lambda1
3.868 * [backup-simplify]: Simplify 0 into 0
3.868 * [backup-simplify]: Simplify 1 into 1
3.869 * [backup-simplify]: Simplify (/ -1 1) into -1
3.869 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1))
3.869 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1
3.869 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1
3.869 * [taylor]: Taking taylor expansion of -1 in lambda1
3.869 * [backup-simplify]: Simplify -1 into -1
3.869 * [taylor]: Taking taylor expansion of lambda2 in lambda1
3.869 * [backup-simplify]: Simplify lambda2 into lambda2
3.869 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2)
3.869 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2))
3.869 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2))
3.869 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1
3.869 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1
3.869 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1
3.869 * [taylor]: Taking taylor expansion of -1 in lambda1
3.869 * [backup-simplify]: Simplify -1 into -1
3.869 * [taylor]: Taking taylor expansion of lambda1 in lambda1
3.869 * [backup-simplify]: Simplify 0 into 0
3.869 * [backup-simplify]: Simplify 1 into 1
3.869 * [backup-simplify]: Simplify (/ -1 1) into -1
3.869 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1))
3.869 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1
3.870 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1
3.870 * [taylor]: Taking taylor expansion of -1 in lambda1
3.870 * [backup-simplify]: Simplify -1 into -1
3.870 * [taylor]: Taking taylor expansion of lambda2 in lambda1
3.870 * [backup-simplify]: Simplify lambda2 into lambda2
3.870 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2)
3.870 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2))
3.870 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2))
3.870 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) 1) into (sin (/ -1 lambda2))
3.870 * [backup-simplify]: Simplify (* (cos (/ -1 lambda2)) 0) into 0
3.870 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda2)) 0) into (sin (/ -1 lambda2))
3.870 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))
3.870 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2
3.870 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2
3.870 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2
3.870 * [taylor]: Taking taylor expansion of -1 in lambda2
3.870 * [backup-simplify]: Simplify -1 into -1
3.870 * [taylor]: Taking taylor expansion of lambda1 in lambda2
3.870 * [backup-simplify]: Simplify lambda1 into lambda1
3.870 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1)
3.870 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1))
3.870 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1))
3.870 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2
3.870 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2
3.870 * [taylor]: Taking taylor expansion of -1 in lambda2
3.870 * [backup-simplify]: Simplify -1 into -1
3.870 * [taylor]: Taking taylor expansion of lambda2 in lambda2
3.870 * [backup-simplify]: Simplify 0 into 0
3.870 * [backup-simplify]: Simplify 1 into 1
3.871 * [backup-simplify]: Simplify (/ -1 1) into -1
3.871 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2))
3.871 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) 1) into (sin (/ -1 lambda1))
3.871 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) 0) into 0
3.871 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda1)) 0) into (sin (/ -1 lambda1))
3.871 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))
3.871 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))
3.871 * [backup-simplify]: Simplify (+ 0) into 0
3.872 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 1)) into 0
3.872 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)))) into 0
3.872 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.872 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 0)) into 0
3.873 * [backup-simplify]: Simplify (+ 0 0) into 0
3.873 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0
3.873 * [taylor]: Taking taylor expansion of 0 in lambda2
3.873 * [backup-simplify]: Simplify 0 into 0
3.873 * [backup-simplify]: Simplify 0 into 0
3.873 * [backup-simplify]: Simplify (+ 0) into 0
3.873 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 1)) into 0
3.873 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)))) into 0
3.874 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.874 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 0)) into 0
3.874 * [backup-simplify]: Simplify (+ 0 0) into 0
3.875 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0
3.875 * [backup-simplify]: Simplify 0 into 0
3.875 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.876 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0
3.876 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0
3.876 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.876 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0
3.877 * [backup-simplify]: Simplify (+ 0 0) into 0
3.877 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0
3.877 * [taylor]: Taking taylor expansion of 0 in lambda2
3.877 * [backup-simplify]: Simplify 0 into 0
3.877 * [backup-simplify]: Simplify 0 into 0
3.877 * [backup-simplify]: Simplify 0 into 0
3.878 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.878 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0
3.878 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0
3.879 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.879 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0
3.879 * [backup-simplify]: Simplify (+ 0 0) into 0
3.880 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0
3.880 * [backup-simplify]: Simplify 0 into 0
3.880 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
3.881 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.881 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0
3.882 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
3.882 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
3.882 * [backup-simplify]: Simplify (+ 0 0) into 0
3.883 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2)))))) into 0
3.883 * [taylor]: Taking taylor expansion of 0 in lambda2
3.883 * [backup-simplify]: Simplify 0 into 0
3.883 * [backup-simplify]: Simplify 0 into 0
3.883 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- lambda1)))) (sin (/ -1 (/ 1 (- lambda2))))) into (* (sin lambda1) (sin lambda2))
3.883 * * * [progress]: simplifying candidates
3.883 * * * * [progress]: [ 1 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))>
3.883 * * * * [progress]: [ 2 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 1) R))>
3.883 * * * * [progress]: [ 3 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))>
3.883 * * * * [progress]: [ 4 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))>
3.883 * * * * [progress]: [ 5 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (* (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)))))))) R))>
3.883 * * * * [progress]: [ 6 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (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)))))))) R))>
3.883 * * * * [progress]: [ 7 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (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)))))))) R))>
3.884 * * * * [progress]: [ 8 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* 1 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))>
3.884 * * * * [progress]: [ 9 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (posit16->real (real->posit16 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))>
3.884 * * * * [progress]: [ 10 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) 1))>
3.884 * * * * [progress]: [ 11 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) 1))>
3.884 * * * * [progress]: [ 12 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (exp (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log R))))>
3.884 * * * * [progress]: [ 13 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (exp (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))>
3.884 * * * * [progress]: [ 14 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (log (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))>
3.884 * * * * [progress]: [ 15 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (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))))))) (* (* R R) R))))>
3.884 * * * * [progress]: [ 16 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (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))))>
3.884 * * * * [progress]: [ 17 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (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))))>
3.884 * * * * [progress]: [ 18 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (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))))>
3.884 * * * * [progress]: [ 19 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* 1 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)))>
3.884 * * * * [progress]: [ 20 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (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))))>
3.884 * * * * [progress]: [ 21 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt R) (cbrt R))) (cbrt R)))>
3.884 * * * * [progress]: [ 22 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) (sqrt R)))>
3.884 * * * * [progress]: [ 23 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 1) R))>
3.884 * * * * [progress]: [ 24 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (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))))))) R)))>
3.884 * * * * [progress]: [ 25 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (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))))))) R)))>
3.884 * * * * [progress]: [ 26 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* 1 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)))>
3.884 * * * * [progress]: [ 27 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (posit16->real (real->posit16 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))>
3.884 * * * * [progress]: [ 28 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))>
3.884 * * * * [progress]: [ 29 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (/ (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) 2) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
3.885 * * * * [progress]: [ 30 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (pow (* (sin phi1) (sin phi2)) 1) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
3.885 * * * * [progress]: [ 31 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (pow (* (sin phi1) (sin phi2)) 1) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
3.885 * * * * [progress]: [ 32 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (exp (+ (log (sin phi1)) (log (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
3.885 * * * * [progress]: [ 33 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (exp (log (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
3.885 * * * * [progress]: [ 34 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
3.885 * * * * [progress]: [ 35 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
3.885 * * * * [progress]: [ 36 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
3.885 * * * * [progress]: [ 37 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
3.885 * * * * [progress]: [ 38 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
3.885 * * * * [progress]: [ 39 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* 1 (* (sin phi1) (sin phi2))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
3.885 * * * * [progress]: [ 40 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
3.885 * * * * [progress]: [ 41 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (cbrt (sin phi2))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
3.885 * * * * [progress]: [ 42 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) (sqrt (sin phi2))) (sqrt (sin phi2))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
3.885 * * * * [progress]: [ 43 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) 1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
3.885 * * * * [progress]: [ 44 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cbrt (sin phi1)) (cbrt (sin phi1))) (* (cbrt (sin phi1)) (sin phi2))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
3.885 * * * * [progress]: [ 45 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sqrt (sin phi1)) (* (sqrt (sin phi1)) (sin phi2))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
3.885 * * * * [progress]: [ 46 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* 1 (* (sin phi1) (sin phi2))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
3.885 * * * * [progress]: [ 47 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (posit16->real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
3.885 * * * * [progress]: [ 48 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
3.885 * * * * [progress]: [ 49 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (/ (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) 2))))) R))>
3.885 * * * * [progress]: [ 50 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (pow (* (sin lambda1) (sin lambda2)) 1))))) R))>
3.885 * * * * [progress]: [ 51 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (pow (* (sin lambda1) (sin lambda2)) 1))))) R))>
3.886 * * * * [progress]: [ 52 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (exp (+ (log (sin lambda1)) (log (sin lambda2)))))))) R))>
3.886 * * * * [progress]: [ 53 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (exp (log (* (sin lambda1) (sin lambda2)))))))) R))>
3.886 * * * * [progress]: [ 54 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R))>
3.886 * * * * [progress]: [ 55 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin lambda2) (sin lambda2)) (sin lambda2)))))))) R))>
3.886 * * * * [progress]: [ 56 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (sin lambda1) (sin lambda2)))) (cbrt (* (sin lambda1) (sin lambda2)))))))) R))>
3.886 * * * * [progress]: [ 57 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2)))))))) R))>
3.886 * * * * [progress]: [ 58 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sqrt (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2)))))))) R))>
3.886 * * * * [progress]: [ 59 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* 1 (* (sin lambda1) (sin lambda2))))))) R))>
3.886 * * * * [progress]: [ 60 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2)))))))) R))>
3.886 * * * * [progress]: [ 61 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2))))))) R))>
3.886 * * * * [progress]: [ 62 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (sqrt (sin lambda2))) (sqrt (sin lambda2))))))) R))>
3.886 * * * * [progress]: [ 63 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) 1) (sin lambda2)))))) R))>
3.886 * * * * [progress]: [ 64 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (cbrt (sin lambda1)) (cbrt (sin lambda1))) (* (cbrt (sin lambda1)) (sin lambda2))))))) R))>
3.886 * * * * [progress]: [ 65 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sqrt (sin lambda1)) (* (sqrt (sin lambda1)) (sin lambda2))))))) R))>
3.886 * * * * [progress]: [ 66 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* 1 (* (sin lambda1) (sin lambda2))))))) R))>
3.886 * * * * [progress]: [ 67 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (posit16->real (real->posit16 (* (sin lambda1) (sin lambda2)))))))) R))>
3.886 * * * * [progress]: [ 68 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))) R))>
3.886 * * * * [progress]: [ 69 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R))>
3.886 * * * * [progress]: [ 70 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R))>
3.886 * * * * [progress]: [ 71 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R))>
3.886 * * * * [progress]: [ 72 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))>
3.887 * * * * [progress]: [ 73 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R))>
3.887 * * * * [progress]: [ 74 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))>
3.887 * * * * [progress]: [ 75 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* phi1 phi2) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
3.887 * * * * [progress]: [ 76 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
3.887 * * * * [progress]: [ 77 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
3.887 * * * * [progress]: [ 78 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* lambda2 lambda1))))) R))>
3.887 * * * * [progress]: [ 79 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))) R))>
3.887 * * * * [progress]: [ 80 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
3.887 * [simplify]: Simplifying (/ PI 2), (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))), (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))), (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))), (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))), (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))), (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))), (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))), (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))), (real->posit16 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))), (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R), (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log R)), (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)), (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)), (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (* R R) R)), (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))), (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)), (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)), (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)), (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)), (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)), (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)), (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt R) (cbrt R))), (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)), (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 1), (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R), (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R), (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R), (real->posit16 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)), (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))), (* (sin phi1) (sin phi2)), (+ (log (sin phi1)) (log (sin phi2))), (log (* (sin phi1) (sin phi2))), (exp (* (sin phi1) (sin phi2))), (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))), (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))), (cbrt (* (sin phi1) (sin phi2))), (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))), (sqrt (* (sin phi1) (sin phi2))), (sqrt (* (sin phi1) (sin phi2))), (* (sqrt (sin phi1)) (sqrt (sin phi2))), (* (sqrt (sin phi1)) (sqrt (sin phi2))), (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))), (* (sin phi1) (sqrt (sin phi2))), (* (sin phi1) 1), (* (cbrt (sin phi1)) (sin phi2)), (* (sqrt (sin phi1)) (sin phi2)), (* (sin phi1) (sin phi2)), (real->posit16 (* (sin phi1) (sin phi2))), (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))), (* (sin lambda1) (sin lambda2)), (+ (log (sin lambda1)) (log (sin lambda2))), (log (* (sin lambda1) (sin lambda2))), (exp (* (sin lambda1) (sin lambda2))), (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin lambda2) (sin lambda2)) (sin lambda2))), (* (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (sin lambda1) (sin lambda2)))), (cbrt (* (sin lambda1) (sin lambda2))), (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))), (sqrt (* (sin lambda1) (sin lambda2))), (sqrt (* (sin lambda1) (sin lambda2))), (* (sqrt (sin lambda1)) (sqrt (sin lambda2))), (* (sqrt (sin lambda1)) (sqrt (sin lambda2))), (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))), (* (sin lambda1) (sqrt (sin lambda2))), (* (sin lambda1) 1), (* (cbrt (sin lambda1)) (sin lambda2)), (* (sqrt (sin lambda1)) (sin lambda2)), (* (sin lambda1) (sin lambda2)), (real->posit16 (* (sin lambda1) (sin lambda2))), (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))), (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))), (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))), (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))), (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R), (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))), (* phi1 phi2), (* (sin phi1) (sin phi2)), (* (sin phi1) (sin phi2)), (* lambda2 lambda1), (* (sin lambda2) (sin lambda1)), (* (sin lambda1) (sin lambda2))
3.889 * * [simplify]: iteration 1: (138 enodes)
3.935 * * [simplify]: iteration 2: (533 enodes)
4.050 * * [simplify]: iteration 3: (984 enodes)
4.769 * * [simplify]: Extracting #0: cost 55 inf + 0
4.770 * * [simplify]: Extracting #1: cost 197 inf + 0
4.772 * * [simplify]: Extracting #2: cost 272 inf + 1814
4.779 * * [simplify]: Extracting #3: cost 186 inf + 23885
4.793 * * [simplify]: Extracting #4: cost 128 inf + 39047
4.812 * * [simplify]: Extracting #5: cost 74 inf + 52773
4.837 * * [simplify]: Extracting #6: cost 28 inf + 90181
4.863 * * [simplify]: Extracting #7: cost 2 inf + 115327
4.899 * * [simplify]: Extracting #8: cost 0 inf + 117317
4.924 * [simplify]: Simplified to (/ PI 2), (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))), (log (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))), (exp (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))), (* (cbrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (cbrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))), (cbrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))), (* (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))), (sqrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))), (sqrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))), (real->posit16 (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))), (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R), (log (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R)), (log (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R)), (exp (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R)), (* (* (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R) (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R)) (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R)), (* (cbrt (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R)) (cbrt (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R))), (cbrt (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R)), (* (* (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R) (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R)) (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R)), (sqrt (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R)), (sqrt (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R)), (* (sqrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (sqrt R)), (* (sqrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (sqrt R)), (* (* (cbrt R) (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (cbrt R)), (* (sqrt R) (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))), (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))), (* (cbrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R), (* R (sqrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))), (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R), (real->posit16 (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R)), (- (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))), (* (* (sin phi1) (sin phi2)) (* (* (sin phi1) (sin phi2)) (* (sin phi1) (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 phi2)) (sqrt (sin phi1))), (* (sqrt (sin phi2)) (sqrt (sin phi1))), (* (* (cbrt (sin phi2)) (sin phi1)) (cbrt (sin phi2))), (* (sqrt (sin phi2)) (sin phi1)), (sin phi1), (* (sin phi2) (cbrt (sin phi1))), (* (sin phi2) (sqrt (sin phi1))), (* (sin phi1) (sin phi2)), (real->posit16 (* (sin phi1) (sin phi2))), (- (cos (- lambda1 lambda2)) (cos (+ lambda2 lambda1))), (* (sin lambda2) (sin lambda1)), (log (* (sin lambda2) (sin lambda1))), (log (* (sin lambda2) (sin lambda1))), (exp (* (sin lambda2) (sin lambda1))), (* (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (sin lambda2) (sin lambda1))), (* (cbrt (* (sin lambda2) (sin lambda1))) (cbrt (* (sin lambda2) (sin lambda1)))), (cbrt (* (sin lambda2) (sin lambda1))), (* (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (sin lambda2) (sin lambda1))), (sqrt (* (sin lambda2) (sin lambda1))), (sqrt (* (sin lambda2) (sin lambda1))), (* (sqrt (sin lambda2)) (sqrt (sin lambda1))), (* (sqrt (sin lambda2)) (sqrt (sin lambda1))), (* (* (cbrt (sin lambda2)) (sin lambda1)) (cbrt (sin lambda2))), (* (sqrt (sin lambda2)) (sin lambda1)), (sin lambda1), (* (sin lambda2) (cbrt (sin lambda1))), (* (sqrt (sin lambda1)) (sin lambda2)), (* (sin lambda2) (sin lambda1)), (real->posit16 (* (sin lambda2) (sin lambda1))), (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))), (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))), (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))), (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R), (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R), (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R), (* phi1 phi2), (* (sin phi1) (sin phi2)), (* (sin phi1) (sin phi2)), (* lambda1 lambda2), (* (sin lambda2) (sin lambda1)), (* (sin lambda2) (sin lambda1))
4.924 * * * * [progress]: [ 1 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))>
4.924 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))
4.924 * [simplify]: Simplified (2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R))
4.924 * * * * [progress]: [ 2 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 1) R))>
4.924 * * * * [progress]: [ 3 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))>
4.924 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (exp (log (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) R))
4.925 * * * * [progress]: [ 4 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))>
4.925 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) R))
4.925 * * * * [progress]: [ 5 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (* (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)))))))) R))>
4.925 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (* (cbrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (cbrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))
4.925 * [simplify]: Simplified (2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (* (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 (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) R))
4.925 * * * * [progress]: [ 6 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (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)))))))) R))>
4.925 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (cbrt (* (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) R))
4.925 * * * * [progress]: [ 7 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (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)))))))) R))>
4.925 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))
4.926 * [simplify]: Simplified (2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) R))
4.926 * * * * [progress]: [ 8 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* 1 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))>
4.926 * * * * [progress]: [ 9 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (posit16->real (real->posit16 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))>
4.926 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (posit16->real (real->posit16 (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) R))
4.926 * * * * [progress]: [ 10 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) 1))>
4.926 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (pow (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R) 1))
4.926 * * * * [progress]: [ 11 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) 1))>
4.926 * * * * [progress]: [ 12 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (exp (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log R))))>
4.926 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (exp (log (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R))))
4.926 * * * * [progress]: [ 13 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (exp (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))>
4.927 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (exp (log (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R))))
4.927 * * * * [progress]: [ 14 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (log (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))>
4.927 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (log (exp (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R))))
4.927 * * * * [progress]: [ 15 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (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))))))) (* (* R R) R))))>
4.927 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R) (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R)) (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R))))
4.927 * * * * [progress]: [ 16 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (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))))>
4.927 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R)) (cbrt (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))
4.927 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (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 (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R))))
4.928 * * * * [progress]: [ 17 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (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))))>
4.928 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R) (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R)) (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R))))
4.928 * * * * [progress]: [ 18 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (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))))>
4.928 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))
4.928 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R))))
4.928 * * * * [progress]: [ 19 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* 1 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)))>
4.928 * * * * [progress]: [ 20 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (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))))>
4.928 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R))))
4.928 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (sqrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (sqrt R))))
4.929 * * * * [progress]: [ 21 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt R) (cbrt R))) (cbrt R)))>
4.929 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (* (cbrt R) (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (cbrt R)) (cbrt R)))
4.929 * * * * [progress]: [ 22 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) (sqrt R)))>
4.929 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt R) (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (sqrt R)))
4.929 * * * * [progress]: [ 23 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 1) R))>
4.929 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R))
4.929 * * * * [progress]: [ 24 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (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))))))) R)))>
4.929 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (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 (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R)))
4.929 * * * * [progress]: [ 25 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (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))))))) R)))>
4.929 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* R (sqrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))))
4.930 * * * * [progress]: [ 26 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* 1 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)))>
4.930 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* 1 (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R)))
4.930 * * * * [progress]: [ 27 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (posit16->real (real->posit16 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))>
4.930 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (posit16->real (real->posit16 (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R))))
4.930 * * * * [progress]: [ 28 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))>
4.930 * * * * [progress]: [ 29 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (/ (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) 2) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
4.930 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (/ (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) 2) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
4.930 * * * * [progress]: [ 30 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (pow (* (sin phi1) (sin phi2)) 1) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
4.930 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (pow (* (sin phi1) (sin phi2)) 1) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
4.930 * * * * [progress]: [ 31 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (pow (* (sin phi1) (sin phi2)) 1) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
4.931 * * * * [progress]: [ 32 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (exp (+ (log (sin phi1)) (log (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
4.931 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (exp (log (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
4.931 * * * * [progress]: [ 33 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (exp (log (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
4.931 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (exp (log (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
4.931 * * * * [progress]: [ 34 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
4.931 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
4.931 * * * * [progress]: [ 35 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
4.931 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (* (sin phi1) (sin phi2)) (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
4.931 * * * * [progress]: [ 36 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
4.931 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
4.931 * [simplify]: Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
4.932 * * * * [progress]: [ 37 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
4.932 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (* (sin phi1) (sin phi2)) (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
4.932 * * * * [progress]: [ 38 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
4.932 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
4.932 * [simplify]: Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
4.932 * * * * [progress]: [ 39 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* 1 (* (sin phi1) (sin phi2))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
4.932 * * * * [progress]: [ 40 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
4.932 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sqrt (sin phi2)) (sqrt (sin phi1))) (* (sqrt (sin phi1)) (sqrt (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
4.932 * [simplify]: Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi2)) (sqrt (sin phi1)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
4.932 * * * * [progress]: [ 41 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (cbrt (sin phi2))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
4.933 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (* (cbrt (sin phi2)) (sin phi1)) (cbrt (sin phi2))) (cbrt (sin phi2))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
4.933 * * * * [progress]: [ 42 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) (sqrt (sin phi2))) (sqrt (sin phi2))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
4.933 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sqrt (sin phi2)) (sin phi1)) (sqrt (sin phi2))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
4.933 * * * * [progress]: [ 43 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) 1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
4.933 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
4.933 * * * * [progress]: [ 44 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cbrt (sin phi1)) (cbrt (sin phi1))) (* (cbrt (sin phi1)) (sin phi2))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
4.933 * [simplify]: Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cbrt (sin phi1)) (cbrt (sin phi1))) (* (sin phi2) (cbrt (sin phi1)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
4.933 * * * * [progress]: [ 45 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sqrt (sin phi1)) (* (sqrt (sin phi1)) (sin phi2))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
4.933 * [simplify]: Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sqrt (sin phi1)) (* (sin phi2) (sqrt (sin phi1)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
4.933 * * * * [progress]: [ 46 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* 1 (* (sin phi1) (sin phi2))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
4.933 * [simplify]: Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* 1 (* (sin phi1) (sin phi2))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
4.934 * * * * [progress]: [ 47 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (posit16->real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
4.934 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (posit16->real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
4.934 * * * * [progress]: [ 48 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
4.934 * * * * [progress]: [ 49 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (/ (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) 2))))) R))>
4.934 * [simplify]: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (/ (- (cos (- lambda1 lambda2)) (cos (+ lambda2 lambda1))) 2))))) R))
4.934 * * * * [progress]: [ 50 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (pow (* (sin lambda1) (sin lambda2)) 1))))) R))>
4.934 * [simplify]: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (pow (* (sin lambda2) (sin lambda1)) 1))))) R))
4.934 * * * * [progress]: [ 51 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (pow (* (sin lambda1) (sin lambda2)) 1))))) R))>
4.934 * * * * [progress]: [ 52 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (exp (+ (log (sin lambda1)) (log (sin lambda2)))))))) R))>
4.934 * [simplify]: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (exp (log (* (sin lambda2) (sin lambda1)))))))) R))
4.934 * * * * [progress]: [ 53 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (exp (log (* (sin lambda1) (sin lambda2)))))))) R))>
4.934 * [simplify]: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (exp (log (* (sin lambda2) (sin lambda1)))))))) R))
4.935 * * * * [progress]: [ 54 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R))>
4.935 * [simplify]: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda2) (sin lambda1)))))))) R))
4.935 * * * * [progress]: [ 55 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin lambda2) (sin lambda2)) (sin lambda2)))))))) R))>
4.935 * [simplify]: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (* (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (sin lambda2) (sin lambda1)))))))) R))
4.935 * * * * [progress]: [ 56 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (sin lambda1) (sin lambda2)))) (cbrt (* (sin lambda1) (sin lambda2)))))))) R))>
4.935 * [simplify]: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (cbrt (* (sin lambda2) (sin lambda1))) (cbrt (* (sin lambda2) (sin lambda1)))) (cbrt (* (sin lambda1) (sin lambda2)))))))) R))
4.936 * [simplify]: Simplified (2 1 1 2 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (sin lambda1) (sin lambda2)))) (cbrt (* (sin lambda2) (sin lambda1)))))))) R))
4.936 * * * * [progress]: [ 57 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2)))))))) R))>
4.936 * [simplify]: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (* (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (sin lambda2) (sin lambda1)))))))) R))
4.936 * * * * [progress]: [ 58 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sqrt (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2)))))))) R))>
4.936 * [simplify]: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sqrt (* (sin lambda2) (sin lambda1))) (sqrt (* (sin lambda1) (sin lambda2)))))))) R))
4.937 * [simplify]: Simplified (2 1 1 2 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sqrt (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda2) (sin lambda1)))))))) R))
4.937 * * * * [progress]: [ 59 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* 1 (* (sin lambda1) (sin lambda2))))))) R))>
4.937 * * * * [progress]: [ 60 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2)))))))) R))>
4.937 * [simplify]: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sqrt (sin lambda2)) (sqrt (sin lambda1))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2)))))))) R))
4.937 * [simplify]: Simplified (2 1 1 2 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sqrt (sin lambda2)) (sqrt (sin lambda1)))))))) R))
4.937 * * * * [progress]: [ 61 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2))))))) R))>
4.938 * [simplify]: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (* (cbrt (sin lambda2)) (sin lambda1)) (cbrt (sin lambda2))) (cbrt (sin lambda2))))))) R))
4.938 * * * * [progress]: [ 62 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (sqrt (sin lambda2))) (sqrt (sin lambda2))))))) R))>
4.938 * [simplify]: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sqrt (sin lambda2)) (sin lambda1)) (sqrt (sin lambda2))))))) R))
4.938 * * * * [progress]: [ 63 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) 1) (sin lambda2)))))) R))>
4.938 * [simplify]: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
4.938 * * * * [progress]: [ 64 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (cbrt (sin lambda1)) (cbrt (sin lambda1))) (* (cbrt (sin lambda1)) (sin lambda2))))))) R))>
4.939 * [simplify]: Simplified (2 1 1 2 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (cbrt (sin lambda1)) (cbrt (sin lambda1))) (* (sin lambda2) (cbrt (sin lambda1)))))))) R))
4.939 * * * * [progress]: [ 65 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sqrt (sin lambda1)) (* (sqrt (sin lambda1)) (sin lambda2))))))) R))>
4.939 * [simplify]: Simplified (2 1 1 2 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sqrt (sin lambda1)) (* (sqrt (sin lambda1)) (sin lambda2))))))) R))
4.939 * * * * [progress]: [ 66 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* 1 (* (sin lambda1) (sin lambda2))))))) R))>
4.939 * [simplify]: Simplified (2 1 1 2 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* 1 (* (sin lambda2) (sin lambda1))))))) R))
4.939 * * * * [progress]: [ 67 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (posit16->real (real->posit16 (* (sin lambda1) (sin lambda2)))))))) R))>
4.939 * [simplify]: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (posit16->real (real->posit16 (* (sin lambda2) (sin lambda1)))))))) R))
4.940 * * * * [progress]: [ 68 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))) R))>
4.940 * * * * [progress]: [ 69 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R))>
4.940 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R))
4.940 * * * * [progress]: [ 70 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R))>
4.940 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R))
4.940 * * * * [progress]: [ 71 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R))>
4.940 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R))
4.941 * * * * [progress]: [ 72 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))>
4.941 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R))
4.941 * * * * [progress]: [ 73 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R))>
4.941 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R))
4.941 * * * * [progress]: [ 74 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))>
4.941 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R))
4.941 * * * * [progress]: [ 75 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* phi1 phi2) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
4.941 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* phi1 phi2) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
4.942 * * * * [progress]: [ 76 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
4.942 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
4.942 * * * * [progress]: [ 77 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
4.942 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
4.942 * * * * [progress]: [ 78 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* lambda2 lambda1))))) R))>
4.942 * [simplify]: Simplified (2 1 1 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* lambda1 lambda2))))) R))
4.942 * * * * [progress]: [ 79 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))) R))>
4.942 * [simplify]: Simplified (2 1 1 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))) R))
4.943 * * * * [progress]: [ 80 / 80 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
4.943 * [simplify]: Simplified (2 1 1 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))) R))
4.943 * * * [progress]: adding candidates to table
6.584 * * [progress]: iteration 3 / 4
6.585 * * * [progress]: picking best candidate
6.738 * * * * [pick]: Picked  #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))>
6.738 * * * [progress]: localizing error
6.847 * * * [progress]: generating rewritten candidates
6.847 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1)
6.849 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
6.854 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1)
6.861 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
6.884 * * * [progress]: generating series expansions
6.884 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1)
6.884 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
6.884 * [approximate]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in (phi1 phi2 lambda1 lambda2) around 0
6.884 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2
6.884 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
6.884 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1
6.885 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
6.885 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2
6.885 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
6.885 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1
6.885 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
6.885 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1
6.886 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
6.886 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2
6.886 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
6.886 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1
6.886 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
6.886 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2
6.887 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
6.887 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
6.887 * [taylor]: Taking taylor expansion of 0 in phi2
6.887 * [backup-simplify]: Simplify 0 into 0
6.887 * [taylor]: Taking taylor expansion of 0 in lambda1
6.887 * [backup-simplify]: Simplify 0 into 0
6.887 * [taylor]: Taking taylor expansion of 0 in lambda2
6.887 * [backup-simplify]: Simplify 0 into 0
6.887 * [backup-simplify]: Simplify 0 into 0
6.887 * [taylor]: Taking taylor expansion of 0 in lambda1
6.887 * [backup-simplify]: Simplify 0 into 0
6.887 * [taylor]: Taking taylor expansion of 0 in lambda2
6.887 * [backup-simplify]: Simplify 0 into 0
6.887 * [backup-simplify]: Simplify 0 into 0
6.887 * [taylor]: Taking taylor expansion of 0 in lambda2
6.887 * [backup-simplify]: Simplify 0 into 0
6.887 * [backup-simplify]: Simplify 0 into 0
6.887 * [backup-simplify]: Simplify 0 into 0
6.887 * [taylor]: Taking taylor expansion of 0 in phi2
6.887 * [backup-simplify]: Simplify 0 into 0
6.887 * [taylor]: Taking taylor expansion of 0 in lambda1
6.887 * [backup-simplify]: Simplify 0 into 0
6.887 * [taylor]: Taking taylor expansion of 0 in lambda2
6.887 * [backup-simplify]: Simplify 0 into 0
6.888 * [backup-simplify]: Simplify 0 into 0
6.888 * [taylor]: Taking taylor expansion of 0 in lambda1
6.888 * [backup-simplify]: Simplify 0 into 0
6.888 * [taylor]: Taking taylor expansion of 0 in lambda2
6.888 * [backup-simplify]: Simplify 0 into 0
6.888 * [backup-simplify]: Simplify 0 into 0
6.888 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
6.888 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
6.888 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0
6.888 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2
6.889 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
6.889 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1
6.889 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
6.889 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2
6.890 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
6.890 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1
6.890 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
6.890 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1
6.890 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
6.891 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2
6.891 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
6.891 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1
6.891 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
6.891 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2
6.892 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
6.892 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
6.892 * [taylor]: Taking taylor expansion of 0 in phi2
6.892 * [backup-simplify]: Simplify 0 into 0
6.892 * [taylor]: Taking taylor expansion of 0 in lambda1
6.892 * [backup-simplify]: Simplify 0 into 0
6.892 * [taylor]: Taking taylor expansion of 0 in lambda2
6.892 * [backup-simplify]: Simplify 0 into 0
6.892 * [backup-simplify]: Simplify 0 into 0
6.892 * [taylor]: Taking taylor expansion of 0 in lambda1
6.892 * [backup-simplify]: Simplify 0 into 0
6.892 * [taylor]: Taking taylor expansion of 0 in lambda2
6.892 * [backup-simplify]: Simplify 0 into 0
6.892 * [backup-simplify]: Simplify 0 into 0
6.892 * [taylor]: Taking taylor expansion of 0 in lambda2
6.892 * [backup-simplify]: Simplify 0 into 0
6.893 * [backup-simplify]: Simplify 0 into 0
6.893 * [backup-simplify]: Simplify 0 into 0
6.893 * [taylor]: Taking taylor expansion of 0 in phi2
6.893 * [backup-simplify]: Simplify 0 into 0
6.893 * [taylor]: Taking taylor expansion of 0 in lambda1
6.893 * [backup-simplify]: Simplify 0 into 0
6.893 * [taylor]: Taking taylor expansion of 0 in lambda2
6.893 * [backup-simplify]: Simplify 0 into 0
6.893 * [backup-simplify]: Simplify 0 into 0
6.893 * [taylor]: Taking taylor expansion of 0 in lambda1
6.893 * [backup-simplify]: Simplify 0 into 0
6.893 * [taylor]: Taking taylor expansion of 0 in lambda2
6.893 * [backup-simplify]: Simplify 0 into 0
6.893 * [backup-simplify]: Simplify 0 into 0
6.893 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1))))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))
6.894 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
6.894 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0
6.894 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2
6.894 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
6.894 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1
6.895 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
6.895 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2
6.895 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
6.895 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1
6.895 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
6.895 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1
6.896 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
6.896 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in phi2
6.896 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
6.896 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1
6.897 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
6.897 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in lambda2
6.897 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
6.898 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
6.898 * [taylor]: Taking taylor expansion of 0 in phi2
6.898 * [backup-simplify]: Simplify 0 into 0
6.898 * [taylor]: Taking taylor expansion of 0 in lambda1
6.898 * [backup-simplify]: Simplify 0 into 0
6.898 * [taylor]: Taking taylor expansion of 0 in lambda2
6.898 * [backup-simplify]: Simplify 0 into 0
6.898 * [backup-simplify]: Simplify 0 into 0
6.898 * [taylor]: Taking taylor expansion of 0 in lambda1
6.898 * [backup-simplify]: Simplify 0 into 0
6.898 * [taylor]: Taking taylor expansion of 0 in lambda2
6.898 * [backup-simplify]: Simplify 0 into 0
6.898 * [backup-simplify]: Simplify 0 into 0
6.898 * [taylor]: Taking taylor expansion of 0 in lambda2
6.898 * [backup-simplify]: Simplify 0 into 0
6.898 * [backup-simplify]: Simplify 0 into 0
6.898 * [backup-simplify]: Simplify 0 into 0
6.902 * [taylor]: Taking taylor expansion of 0 in phi2
6.902 * [backup-simplify]: Simplify 0 into 0
6.902 * [taylor]: Taking taylor expansion of 0 in lambda1
6.902 * [backup-simplify]: Simplify 0 into 0
6.902 * [taylor]: Taking taylor expansion of 0 in lambda2
6.902 * [backup-simplify]: Simplify 0 into 0
6.902 * [backup-simplify]: Simplify 0 into 0
6.902 * [taylor]: Taking taylor expansion of 0 in lambda1
6.902 * [backup-simplify]: Simplify 0 into 0
6.902 * [taylor]: Taking taylor expansion of 0 in lambda2
6.902 * [backup-simplify]: Simplify 0 into 0
6.902 * [backup-simplify]: Simplify 0 into 0
6.903 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- lambda2)))) (cos (/ -1 (/ 1 (- phi2)))))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
6.903 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
6.903 * [backup-simplify]: Simplify (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
6.903 * [approximate]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in (phi1 phi2 lambda1 lambda2) around 0
6.903 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2
6.904 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
6.904 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1
6.904 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
6.904 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2
6.904 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
6.904 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1
6.905 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
6.905 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1
6.905 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
6.905 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2
6.905 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
6.905 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1
6.906 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
6.906 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2
6.906 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
6.906 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
6.906 * [taylor]: Taking taylor expansion of 0 in phi2
6.906 * [backup-simplify]: Simplify 0 into 0
6.906 * [taylor]: Taking taylor expansion of 0 in lambda1
6.907 * [backup-simplify]: Simplify 0 into 0
6.907 * [taylor]: Taking taylor expansion of 0 in lambda2
6.907 * [backup-simplify]: Simplify 0 into 0
6.907 * [backup-simplify]: Simplify 0 into 0
6.907 * [taylor]: Taking taylor expansion of 0 in lambda1
6.907 * [backup-simplify]: Simplify 0 into 0
6.907 * [taylor]: Taking taylor expansion of 0 in lambda2
6.907 * [backup-simplify]: Simplify 0 into 0
6.907 * [backup-simplify]: Simplify 0 into 0
6.907 * [taylor]: Taking taylor expansion of 0 in lambda2
6.907 * [backup-simplify]: Simplify 0 into 0
6.907 * [backup-simplify]: Simplify 0 into 0
6.907 * [backup-simplify]: Simplify 0 into 0
6.907 * [taylor]: Taking taylor expansion of 0 in phi2
6.907 * [backup-simplify]: Simplify 0 into 0
6.907 * [taylor]: Taking taylor expansion of 0 in lambda1
6.907 * [backup-simplify]: Simplify 0 into 0
6.907 * [taylor]: Taking taylor expansion of 0 in lambda2
6.907 * [backup-simplify]: Simplify 0 into 0
6.907 * [backup-simplify]: Simplify 0 into 0
6.907 * [taylor]: Taking taylor expansion of 0 in lambda1
6.907 * [backup-simplify]: Simplify 0 into 0
6.907 * [taylor]: Taking taylor expansion of 0 in lambda2
6.907 * [backup-simplify]: Simplify 0 into 0
6.907 * [backup-simplify]: Simplify 0 into 0
6.908 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
6.909 * [backup-simplify]: Simplify (log (exp (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
6.909 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0
6.909 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2
6.910 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
6.910 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1
6.910 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
6.910 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2
6.911 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
6.911 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1
6.912 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
6.912 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1
6.913 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
6.913 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2
6.914 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
6.914 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1
6.914 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
6.915 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2
6.915 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
6.916 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
6.916 * [taylor]: Taking taylor expansion of 0 in phi2
6.916 * [backup-simplify]: Simplify 0 into 0
6.916 * [taylor]: Taking taylor expansion of 0 in lambda1
6.916 * [backup-simplify]: Simplify 0 into 0
6.916 * [taylor]: Taking taylor expansion of 0 in lambda2
6.916 * [backup-simplify]: Simplify 0 into 0
6.916 * [backup-simplify]: Simplify 0 into 0
6.916 * [taylor]: Taking taylor expansion of 0 in lambda1
6.916 * [backup-simplify]: Simplify 0 into 0
6.917 * [taylor]: Taking taylor expansion of 0 in lambda2
6.917 * [backup-simplify]: Simplify 0 into 0
6.917 * [backup-simplify]: Simplify 0 into 0
6.917 * [taylor]: Taking taylor expansion of 0 in lambda2
6.917 * [backup-simplify]: Simplify 0 into 0
6.917 * [backup-simplify]: Simplify 0 into 0
6.917 * [backup-simplify]: Simplify 0 into 0
6.917 * [taylor]: Taking taylor expansion of 0 in phi2
6.917 * [backup-simplify]: Simplify 0 into 0
6.917 * [taylor]: Taking taylor expansion of 0 in lambda1
6.917 * [backup-simplify]: Simplify 0 into 0
6.917 * [taylor]: Taking taylor expansion of 0 in lambda2
6.917 * [backup-simplify]: Simplify 0 into 0
6.917 * [backup-simplify]: Simplify 0 into 0
6.917 * [taylor]: Taking taylor expansion of 0 in lambda1
6.917 * [backup-simplify]: Simplify 0 into 0
6.917 * [taylor]: Taking taylor expansion of 0 in lambda2
6.917 * [backup-simplify]: Simplify 0 into 0
6.917 * [backup-simplify]: Simplify 0 into 0
6.919 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1))))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))
6.919 * [backup-simplify]: Simplify (log (exp (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
6.920 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0
6.920 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2
6.920 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
6.920 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1
6.921 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
6.921 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2
6.922 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
6.922 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1
6.923 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
6.923 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1
6.924 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
6.924 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in phi2
6.925 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
6.925 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1
6.925 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
6.926 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in lambda2
6.926 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
6.927 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
6.927 * [taylor]: Taking taylor expansion of 0 in phi2
6.927 * [backup-simplify]: Simplify 0 into 0
6.927 * [taylor]: Taking taylor expansion of 0 in lambda1
6.927 * [backup-simplify]: Simplify 0 into 0
6.927 * [taylor]: Taking taylor expansion of 0 in lambda2
6.927 * [backup-simplify]: Simplify 0 into 0
6.927 * [backup-simplify]: Simplify 0 into 0
6.928 * [taylor]: Taking taylor expansion of 0 in lambda1
6.928 * [backup-simplify]: Simplify 0 into 0
6.928 * [taylor]: Taking taylor expansion of 0 in lambda2
6.928 * [backup-simplify]: Simplify 0 into 0
6.928 * [backup-simplify]: Simplify 0 into 0
6.928 * [taylor]: Taking taylor expansion of 0 in lambda2
6.928 * [backup-simplify]: Simplify 0 into 0
6.928 * [backup-simplify]: Simplify 0 into 0
6.928 * [backup-simplify]: Simplify 0 into 0
6.928 * [taylor]: Taking taylor expansion of 0 in phi2
6.928 * [backup-simplify]: Simplify 0 into 0
6.928 * [taylor]: Taking taylor expansion of 0 in lambda1
6.928 * [backup-simplify]: Simplify 0 into 0
6.928 * [taylor]: Taking taylor expansion of 0 in lambda2
6.928 * [backup-simplify]: Simplify 0 into 0
6.928 * [backup-simplify]: Simplify 0 into 0
6.928 * [taylor]: Taking taylor expansion of 0 in lambda1
6.928 * [backup-simplify]: Simplify 0 into 0
6.928 * [taylor]: Taking taylor expansion of 0 in lambda2
6.928 * [backup-simplify]: Simplify 0 into 0
6.928 * [backup-simplify]: Simplify 0 into 0
6.929 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- lambda2)))) (cos (/ -1 (/ 1 (- phi2)))))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
6.929 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1)
6.930 * [backup-simplify]: Simplify (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
6.930 * [approximate]: Taking taylor expansion of (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0
6.930 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2
6.930 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2
6.930 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
6.931 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
6.931 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1
6.931 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1
6.932 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
6.933 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
6.933 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2
6.933 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2
6.933 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
6.934 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
6.934 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1
6.934 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1
6.934 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
6.935 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
6.935 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1
6.935 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1
6.936 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
6.936 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
6.936 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2
6.936 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2
6.937 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
6.937 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
6.937 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1
6.938 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1
6.938 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
6.939 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
6.939 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2
6.939 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2
6.939 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
6.940 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
6.940 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
6.943 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (+ (* (/ (pow 0 1) 1)))) into 0
6.943 * [taylor]: Taking taylor expansion of 0 in phi2
6.943 * [backup-simplify]: Simplify 0 into 0
6.943 * [taylor]: Taking taylor expansion of 0 in lambda1
6.943 * [backup-simplify]: Simplify 0 into 0
6.943 * [taylor]: Taking taylor expansion of 0 in lambda2
6.943 * [backup-simplify]: Simplify 0 into 0
6.943 * [backup-simplify]: Simplify 0 into 0
6.945 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (+ (* (/ (pow 0 1) 1)))) into 0
6.945 * [taylor]: Taking taylor expansion of 0 in lambda1
6.945 * [backup-simplify]: Simplify 0 into 0
6.945 * [taylor]: Taking taylor expansion of 0 in lambda2
6.945 * [backup-simplify]: Simplify 0 into 0
6.945 * [backup-simplify]: Simplify 0 into 0
6.947 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (+ (* (/ (pow 0 1) 1)))) into 0
6.947 * [taylor]: Taking taylor expansion of 0 in lambda2
6.947 * [backup-simplify]: Simplify 0 into 0
6.947 * [backup-simplify]: Simplify 0 into 0
6.948 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (+ (* (/ (pow 0 1) 1)))) into 0
6.948 * [backup-simplify]: Simplify 0 into 0
6.950 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
6.950 * [taylor]: Taking taylor expansion of 0 in phi2
6.950 * [backup-simplify]: Simplify 0 into 0
6.950 * [taylor]: Taking taylor expansion of 0 in lambda1
6.950 * [backup-simplify]: Simplify 0 into 0
6.950 * [taylor]: Taking taylor expansion of 0 in lambda2
6.950 * [backup-simplify]: Simplify 0 into 0
6.951 * [backup-simplify]: Simplify 0 into 0
6.951 * [taylor]: Taking taylor expansion of 0 in lambda1
6.951 * [backup-simplify]: Simplify 0 into 0
6.951 * [taylor]: Taking taylor expansion of 0 in lambda2
6.951 * [backup-simplify]: Simplify 0 into 0
6.951 * [backup-simplify]: Simplify 0 into 0
6.951 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
6.951 * [backup-simplify]: Simplify (exp (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))))))) into (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
6.951 * [approximate]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in (phi1 phi2 lambda1 lambda2) around 0
6.951 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in lambda2
6.951 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2
6.952 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
6.952 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
6.952 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in lambda1
6.952 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1
6.953 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
6.953 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
6.953 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in phi2
6.953 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2
6.954 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
6.954 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
6.954 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in phi1
6.954 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1
6.954 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
6.955 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
6.955 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in phi1
6.955 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1
6.955 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
6.956 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
6.956 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in phi2
6.956 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2
6.956 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
6.957 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
6.957 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in lambda1
6.957 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1
6.957 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
6.957 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
6.958 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in lambda2
6.958 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2
6.958 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
6.958 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
6.959 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
6.960 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) (+ (* (/ (pow 0 1) 1)))) into 0
6.960 * [taylor]: Taking taylor expansion of 0 in phi2
6.960 * [backup-simplify]: Simplify 0 into 0
6.960 * [taylor]: Taking taylor expansion of 0 in lambda1
6.960 * [backup-simplify]: Simplify 0 into 0
6.960 * [taylor]: Taking taylor expansion of 0 in lambda2
6.960 * [backup-simplify]: Simplify 0 into 0
6.960 * [backup-simplify]: Simplify 0 into 0
6.961 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) (+ (* (/ (pow 0 1) 1)))) into 0
6.961 * [taylor]: Taking taylor expansion of 0 in lambda1
6.961 * [backup-simplify]: Simplify 0 into 0
6.961 * [taylor]: Taking taylor expansion of 0 in lambda2
6.961 * [backup-simplify]: Simplify 0 into 0
6.961 * [backup-simplify]: Simplify 0 into 0
6.962 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) (+ (* (/ (pow 0 1) 1)))) into 0
6.962 * [taylor]: Taking taylor expansion of 0 in lambda2
6.962 * [backup-simplify]: Simplify 0 into 0
6.962 * [backup-simplify]: Simplify 0 into 0
6.963 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) (+ (* (/ (pow 0 1) 1)))) into 0
6.963 * [backup-simplify]: Simplify 0 into 0
6.964 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
6.964 * [taylor]: Taking taylor expansion of 0 in phi2
6.964 * [backup-simplify]: Simplify 0 into 0
6.964 * [taylor]: Taking taylor expansion of 0 in lambda1
6.964 * [backup-simplify]: Simplify 0 into 0
6.964 * [taylor]: Taking taylor expansion of 0 in lambda2
6.964 * [backup-simplify]: Simplify 0 into 0
6.964 * [backup-simplify]: Simplify 0 into 0
6.964 * [taylor]: Taking taylor expansion of 0 in lambda1
6.965 * [backup-simplify]: Simplify 0 into 0
6.965 * [taylor]: Taking taylor expansion of 0 in lambda2
6.965 * [backup-simplify]: Simplify 0 into 0
6.965 * [backup-simplify]: Simplify 0 into 0
6.965 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))))
6.965 * [backup-simplify]: Simplify (exp (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))
6.966 * [approximate]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in (phi1 phi2 lambda1 lambda2) around 0
6.966 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in lambda2
6.966 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2
6.966 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
6.966 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))
6.966 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in lambda1
6.966 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1
6.967 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
6.967 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))
6.967 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in phi2
6.967 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2
6.968 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
6.968 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))
6.968 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in phi1
6.968 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1
6.969 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
6.969 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))
6.969 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in phi1
6.969 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1
6.970 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
6.970 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))
6.970 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in phi2
6.970 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2
6.970 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
6.971 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))
6.971 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in lambda1
6.971 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1
6.971 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
6.972 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))
6.972 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in lambda2
6.972 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2
6.972 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
6.973 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))
6.973 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))))
6.974 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) (+ (* (/ (pow 0 1) 1)))) into 0
6.974 * [taylor]: Taking taylor expansion of 0 in phi2
6.974 * [backup-simplify]: Simplify 0 into 0
6.974 * [taylor]: Taking taylor expansion of 0 in lambda1
6.974 * [backup-simplify]: Simplify 0 into 0
6.974 * [taylor]: Taking taylor expansion of 0 in lambda2
6.974 * [backup-simplify]: Simplify 0 into 0
6.974 * [backup-simplify]: Simplify 0 into 0
6.975 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) (+ (* (/ (pow 0 1) 1)))) into 0
6.975 * [taylor]: Taking taylor expansion of 0 in lambda1
6.975 * [backup-simplify]: Simplify 0 into 0
6.975 * [taylor]: Taking taylor expansion of 0 in lambda2
6.975 * [backup-simplify]: Simplify 0 into 0
6.975 * [backup-simplify]: Simplify 0 into 0
6.976 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) (+ (* (/ (pow 0 1) 1)))) into 0
6.976 * [taylor]: Taking taylor expansion of 0 in lambda2
6.976 * [backup-simplify]: Simplify 0 into 0
6.976 * [backup-simplify]: Simplify 0 into 0
6.977 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) (+ (* (/ (pow 0 1) 1)))) into 0
6.977 * [backup-simplify]: Simplify 0 into 0
6.979 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
6.979 * [taylor]: Taking taylor expansion of 0 in phi2
6.979 * [backup-simplify]: Simplify 0 into 0
6.979 * [taylor]: Taking taylor expansion of 0 in lambda1
6.979 * [backup-simplify]: Simplify 0 into 0
6.979 * [taylor]: Taking taylor expansion of 0 in lambda2
6.979 * [backup-simplify]: Simplify 0 into 0
6.979 * [backup-simplify]: Simplify 0 into 0
6.979 * [taylor]: Taking taylor expansion of 0 in lambda1
6.979 * [backup-simplify]: Simplify 0 into 0
6.979 * [taylor]: Taking taylor expansion of 0 in lambda2
6.979 * [backup-simplify]: Simplify 0 into 0
6.979 * [backup-simplify]: Simplify 0 into 0
6.980 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- lambda2)))) (cos (/ -1 (/ 1 (- phi2))))))))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
6.980 * * * * [progress]: [ 4 / 4 ] generating series at (2)
6.980 * [backup-simplify]: Simplify (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
6.980 * [approximate]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in (phi1 phi2 lambda1 lambda2 R) around 0
6.980 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in R
6.980 * [taylor]: Taking taylor expansion of R in R
6.980 * [backup-simplify]: Simplify 0 into 0
6.980 * [backup-simplify]: Simplify 1 into 1
6.980 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in R
6.981 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
6.981 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2
6.981 * [taylor]: Taking taylor expansion of R in lambda2
6.981 * [backup-simplify]: Simplify R into R
6.981 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2
6.981 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
6.981 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1
6.981 * [taylor]: Taking taylor expansion of R in lambda1
6.981 * [backup-simplify]: Simplify R into R
6.981 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1
6.981 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
6.981 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2
6.981 * [taylor]: Taking taylor expansion of R in phi2
6.981 * [backup-simplify]: Simplify R into R
6.981 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2
6.982 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
6.982 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1
6.982 * [taylor]: Taking taylor expansion of R in phi1
6.982 * [backup-simplify]: Simplify R into R
6.982 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1
6.982 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
6.982 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1
6.982 * [taylor]: Taking taylor expansion of R in phi1
6.982 * [backup-simplify]: Simplify R into R
6.982 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1
6.982 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
6.983 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
6.983 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2
6.983 * [taylor]: Taking taylor expansion of R in phi2
6.983 * [backup-simplify]: Simplify R into R
6.983 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2
6.984 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
6.984 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
6.984 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1
6.984 * [taylor]: Taking taylor expansion of R in lambda1
6.984 * [backup-simplify]: Simplify R into R
6.984 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1
6.985 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
6.986 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
6.986 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2
6.986 * [taylor]: Taking taylor expansion of R in lambda2
6.986 * [backup-simplify]: Simplify R into R
6.986 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2
6.986 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
6.987 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
6.987 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in R
6.987 * [taylor]: Taking taylor expansion of R in R
6.987 * [backup-simplify]: Simplify 0 into 0
6.987 * [backup-simplify]: Simplify 1 into 1
6.987 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in R
6.988 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
6.988 * [backup-simplify]: Simplify (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into 0
6.988 * [backup-simplify]: Simplify 0 into 0
6.989 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0
6.989 * [taylor]: Taking taylor expansion of 0 in phi2
6.989 * [backup-simplify]: Simplify 0 into 0
6.989 * [taylor]: Taking taylor expansion of 0 in lambda1
6.989 * [backup-simplify]: Simplify 0 into 0
6.989 * [taylor]: Taking taylor expansion of 0 in lambda2
6.989 * [backup-simplify]: Simplify 0 into 0
6.989 * [taylor]: Taking taylor expansion of 0 in R
6.989 * [backup-simplify]: Simplify 0 into 0
6.989 * [backup-simplify]: Simplify 0 into 0
6.990 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0
6.990 * [taylor]: Taking taylor expansion of 0 in lambda1
6.990 * [backup-simplify]: Simplify 0 into 0
6.990 * [taylor]: Taking taylor expansion of 0 in lambda2
6.990 * [backup-simplify]: Simplify 0 into 0
6.990 * [taylor]: Taking taylor expansion of 0 in R
6.990 * [backup-simplify]: Simplify 0 into 0
6.990 * [backup-simplify]: Simplify 0 into 0
6.991 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0
6.991 * [taylor]: Taking taylor expansion of 0 in lambda2
6.991 * [backup-simplify]: Simplify 0 into 0
6.991 * [taylor]: Taking taylor expansion of 0 in R
6.991 * [backup-simplify]: Simplify 0 into 0
6.991 * [backup-simplify]: Simplify 0 into 0
6.992 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0
6.992 * [taylor]: Taking taylor expansion of 0 in R
6.992 * [backup-simplify]: Simplify 0 into 0
6.992 * [backup-simplify]: Simplify 0 into 0
6.993 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
6.993 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
6.995 * [backup-simplify]: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0
6.995 * [taylor]: Taking taylor expansion of 0 in phi2
6.995 * [backup-simplify]: Simplify 0 into 0
6.995 * [taylor]: Taking taylor expansion of 0 in lambda1
6.995 * [backup-simplify]: Simplify 0 into 0
6.995 * [taylor]: Taking taylor expansion of 0 in lambda2
6.995 * [backup-simplify]: Simplify 0 into 0
6.995 * [taylor]: Taking taylor expansion of 0 in R
6.995 * [backup-simplify]: Simplify 0 into 0
6.995 * [backup-simplify]: Simplify 0 into 0
6.995 * [taylor]: Taking taylor expansion of 0 in lambda1
6.995 * [backup-simplify]: Simplify 0 into 0
6.995 * [taylor]: Taking taylor expansion of 0 in lambda2
6.995 * [backup-simplify]: Simplify 0 into 0
6.995 * [taylor]: Taking taylor expansion of 0 in R
6.995 * [backup-simplify]: Simplify 0 into 0
6.995 * [backup-simplify]: Simplify 0 into 0
6.996 * [backup-simplify]: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0
6.996 * [taylor]: Taking taylor expansion of 0 in lambda1
6.996 * [backup-simplify]: Simplify 0 into 0
6.996 * [taylor]: Taking taylor expansion of 0 in lambda2
6.996 * [backup-simplify]: Simplify 0 into 0
6.996 * [taylor]: Taking taylor expansion of 0 in R
6.996 * [backup-simplify]: Simplify 0 into 0
6.996 * [backup-simplify]: Simplify 0 into 0
6.997 * [taylor]: Taking taylor expansion of 0 in lambda2
6.997 * [backup-simplify]: Simplify 0 into 0
6.997 * [taylor]: Taking taylor expansion of 0 in R
6.997 * [backup-simplify]: Simplify 0 into 0
6.997 * [backup-simplify]: Simplify 0 into 0
6.997 * [taylor]: Taking taylor expansion of 0 in lambda2
6.997 * [backup-simplify]: Simplify 0 into 0
6.997 * [taylor]: Taking taylor expansion of 0 in R
6.997 * [backup-simplify]: Simplify 0 into 0
6.997 * [backup-simplify]: Simplify 0 into 0
6.998 * [backup-simplify]: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0
6.998 * [taylor]: Taking taylor expansion of 0 in lambda2
6.998 * [backup-simplify]: Simplify 0 into 0
6.998 * [taylor]: Taking taylor expansion of 0 in R
6.998 * [backup-simplify]: Simplify 0 into 0
6.998 * [backup-simplify]: Simplify 0 into 0
6.999 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (* R (* 1 (* 1 (* 1 1))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
7.000 * [backup-simplify]: Simplify (* (log (exp (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))))) (/ 1 R)) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
7.000 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0
7.000 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in R
7.000 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in R
7.001 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
7.001 * [taylor]: Taking taylor expansion of R in R
7.001 * [backup-simplify]: Simplify 0 into 0
7.001 * [backup-simplify]: Simplify 1 into 1
7.002 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 1) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
7.002 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda2
7.002 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2
7.003 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
7.003 * [taylor]: Taking taylor expansion of R in lambda2
7.003 * [backup-simplify]: Simplify R into R
7.004 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
7.004 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda1
7.004 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1
7.005 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
7.005 * [taylor]: Taking taylor expansion of R in lambda1
7.005 * [backup-simplify]: Simplify R into R
7.005 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
7.005 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi2
7.005 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2
7.009 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
7.009 * [taylor]: Taking taylor expansion of R in phi2
7.009 * [backup-simplify]: Simplify R into R
7.010 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
7.010 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi1
7.010 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1
7.010 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
7.010 * [taylor]: Taking taylor expansion of R in phi1
7.011 * [backup-simplify]: Simplify R into R
7.011 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
7.011 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi1
7.011 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1
7.012 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
7.012 * [taylor]: Taking taylor expansion of R in phi1
7.012 * [backup-simplify]: Simplify R into R
7.013 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
7.013 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi2
7.013 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2
7.014 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
7.014 * [taylor]: Taking taylor expansion of R in phi2
7.014 * [backup-simplify]: Simplify R into R
7.015 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
7.015 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda1
7.015 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1
7.016 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
7.016 * [taylor]: Taking taylor expansion of R in lambda1
7.016 * [backup-simplify]: Simplify R into R
7.017 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
7.017 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda2
7.017 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2
7.018 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
7.018 * [taylor]: Taking taylor expansion of R in lambda2
7.018 * [backup-simplify]: Simplify R into R
7.018 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
7.019 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in R
7.019 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in R
7.019 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
7.019 * [taylor]: Taking taylor expansion of R in R
7.019 * [backup-simplify]: Simplify 0 into 0
7.019 * [backup-simplify]: Simplify 1 into 1
7.020 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 1) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
7.021 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
7.022 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0
7.022 * [taylor]: Taking taylor expansion of 0 in phi2
7.022 * [backup-simplify]: Simplify 0 into 0
7.022 * [taylor]: Taking taylor expansion of 0 in lambda1
7.022 * [backup-simplify]: Simplify 0 into 0
7.022 * [taylor]: Taking taylor expansion of 0 in lambda2
7.022 * [backup-simplify]: Simplify 0 into 0
7.022 * [taylor]: Taking taylor expansion of 0 in R
7.022 * [backup-simplify]: Simplify 0 into 0
7.023 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0
7.023 * [taylor]: Taking taylor expansion of 0 in lambda1
7.023 * [backup-simplify]: Simplify 0 into 0
7.023 * [taylor]: Taking taylor expansion of 0 in lambda2
7.024 * [backup-simplify]: Simplify 0 into 0
7.024 * [taylor]: Taking taylor expansion of 0 in R
7.024 * [backup-simplify]: Simplify 0 into 0
7.025 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0
7.025 * [taylor]: Taking taylor expansion of 0 in lambda2
7.025 * [backup-simplify]: Simplify 0 into 0
7.025 * [taylor]: Taking taylor expansion of 0 in R
7.025 * [backup-simplify]: Simplify 0 into 0
7.026 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0
7.026 * [taylor]: Taking taylor expansion of 0 in R
7.026 * [backup-simplify]: Simplify 0 into 0
7.028 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) (/ 0 1)))) into 0
7.028 * [backup-simplify]: Simplify 0 into 0
7.029 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
7.029 * [taylor]: Taking taylor expansion of 0 in phi2
7.029 * [backup-simplify]: Simplify 0 into 0
7.029 * [taylor]: Taking taylor expansion of 0 in lambda1
7.029 * [backup-simplify]: Simplify 0 into 0
7.030 * [taylor]: Taking taylor expansion of 0 in lambda2
7.030 * [backup-simplify]: Simplify 0 into 0
7.030 * [taylor]: Taking taylor expansion of 0 in R
7.030 * [backup-simplify]: Simplify 0 into 0
7.030 * [taylor]: Taking taylor expansion of 0 in lambda1
7.030 * [backup-simplify]: Simplify 0 into 0
7.030 * [taylor]: Taking taylor expansion of 0 in lambda2
7.030 * [backup-simplify]: Simplify 0 into 0
7.030 * [taylor]: Taking taylor expansion of 0 in R
7.030 * [backup-simplify]: Simplify 0 into 0
7.031 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
7.031 * [taylor]: Taking taylor expansion of 0 in lambda1
7.031 * [backup-simplify]: Simplify 0 into 0
7.031 * [taylor]: Taking taylor expansion of 0 in lambda2
7.031 * [backup-simplify]: Simplify 0 into 0
7.031 * [taylor]: Taking taylor expansion of 0 in R
7.031 * [backup-simplify]: Simplify 0 into 0
7.031 * [taylor]: Taking taylor expansion of 0 in lambda2
7.031 * [backup-simplify]: Simplify 0 into 0
7.031 * [taylor]: Taking taylor expansion of 0 in R
7.031 * [backup-simplify]: Simplify 0 into 0
7.031 * [taylor]: Taking taylor expansion of 0 in lambda2
7.031 * [backup-simplify]: Simplify 0 into 0
7.031 * [taylor]: Taking taylor expansion of 0 in R
7.031 * [backup-simplify]: Simplify 0 into 0
7.031 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
7.031 * [taylor]: Taking taylor expansion of 0 in lambda2
7.031 * [backup-simplify]: Simplify 0 into 0
7.031 * [taylor]: Taking taylor expansion of 0 in R
7.031 * [backup-simplify]: Simplify 0 into 0
7.031 * [taylor]: Taking taylor expansion of 0 in R
7.031 * [backup-simplify]: Simplify 0 into 0
7.032 * [taylor]: Taking taylor expansion of 0 in R
7.032 * [backup-simplify]: Simplify 0 into 0
7.032 * [taylor]: Taking taylor expansion of 0 in R
7.032 * [backup-simplify]: Simplify 0 into 0
7.032 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
7.032 * [taylor]: Taking taylor expansion of 0 in R
7.032 * [backup-simplify]: Simplify 0 into 0
7.032 * [backup-simplify]: Simplify 0 into 0
7.032 * [backup-simplify]: Simplify 0 into 0
7.032 * [backup-simplify]: Simplify 0 into 0
7.032 * [backup-simplify]: Simplify 0 into 0
7.034 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.034 * [backup-simplify]: Simplify 0 into 0
7.035 * [backup-simplify]: Simplify (* (acos (+ (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1))))))))) (* (/ 1 (/ 1 R)) (* 1 (* 1 (* 1 1))))) into (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R)
7.035 * [backup-simplify]: Simplify (* (log (exp (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))))) (/ 1 (- R))) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R))
7.035 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0
7.035 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in R
7.035 * [taylor]: Taking taylor expansion of -1 in R
7.035 * [backup-simplify]: Simplify -1 into -1
7.035 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in R
7.035 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in R
7.036 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
7.036 * [taylor]: Taking taylor expansion of R in R
7.036 * [backup-simplify]: Simplify 0 into 0
7.036 * [backup-simplify]: Simplify 1 into 1
7.036 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 1) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
7.036 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in lambda2
7.036 * [taylor]: Taking taylor expansion of -1 in lambda2
7.036 * [backup-simplify]: Simplify -1 into -1
7.036 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in lambda2
7.036 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2
7.037 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
7.037 * [taylor]: Taking taylor expansion of R in lambda2
7.037 * [backup-simplify]: Simplify R into R
7.037 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)
7.037 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in lambda1
7.037 * [taylor]: Taking taylor expansion of -1 in lambda1
7.037 * [backup-simplify]: Simplify -1 into -1
7.037 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in lambda1
7.037 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1
7.038 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
7.038 * [taylor]: Taking taylor expansion of R in lambda1
7.038 * [backup-simplify]: Simplify R into R
7.038 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)
7.038 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in phi2
7.038 * [taylor]: Taking taylor expansion of -1 in phi2
7.038 * [backup-simplify]: Simplify -1 into -1
7.038 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in phi2
7.038 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2
7.039 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
7.039 * [taylor]: Taking taylor expansion of R in phi2
7.039 * [backup-simplify]: Simplify R into R
7.039 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)
7.039 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in phi1
7.039 * [taylor]: Taking taylor expansion of -1 in phi1
7.039 * [backup-simplify]: Simplify -1 into -1
7.039 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in phi1
7.039 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1
7.040 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
7.040 * [taylor]: Taking taylor expansion of R in phi1
7.040 * [backup-simplify]: Simplify R into R
7.040 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)
7.040 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in phi1
7.040 * [taylor]: Taking taylor expansion of -1 in phi1
7.040 * [backup-simplify]: Simplify -1 into -1
7.040 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in phi1
7.041 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1
7.041 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
7.041 * [taylor]: Taking taylor expansion of R in phi1
7.041 * [backup-simplify]: Simplify R into R
7.041 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)
7.042 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R))
7.042 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) in phi2
7.042 * [taylor]: Taking taylor expansion of -1 in phi2
7.042 * [backup-simplify]: Simplify -1 into -1
7.042 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) in phi2
7.042 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in phi2
7.042 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
7.042 * [taylor]: Taking taylor expansion of R in phi2
7.042 * [backup-simplify]: Simplify R into R
7.043 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)
7.043 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R))
7.043 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in lambda1
7.043 * [taylor]: Taking taylor expansion of -1 in lambda1
7.043 * [backup-simplify]: Simplify -1 into -1
7.043 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in lambda1
7.043 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1
7.044 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
7.044 * [taylor]: Taking taylor expansion of R in lambda1
7.044 * [backup-simplify]: Simplify R into R
7.044 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)
7.045 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R))
7.045 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) in lambda2
7.045 * [taylor]: Taking taylor expansion of -1 in lambda2
7.045 * [backup-simplify]: Simplify -1 into -1
7.045 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) in lambda2
7.045 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in lambda2
7.045 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
7.045 * [taylor]: Taking taylor expansion of R in lambda2
7.045 * [backup-simplify]: Simplify R into R
7.046 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)
7.046 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R))
7.046 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in R
7.046 * [taylor]: Taking taylor expansion of -1 in R
7.046 * [backup-simplify]: Simplify -1 into -1
7.046 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in R
7.046 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in R
7.047 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
7.047 * [taylor]: Taking taylor expansion of R in R
7.047 * [backup-simplify]: Simplify 0 into 0
7.047 * [backup-simplify]: Simplify 1 into 1
7.047 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 1) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
7.048 * [backup-simplify]: Simplify (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) into (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))))
7.048 * [backup-simplify]: Simplify (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))
7.049 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)))) into 0
7.050 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R))) into 0
7.050 * [taylor]: Taking taylor expansion of 0 in phi2
7.050 * [backup-simplify]: Simplify 0 into 0
7.050 * [taylor]: Taking taylor expansion of 0 in lambda1
7.050 * [backup-simplify]: Simplify 0 into 0
7.050 * [taylor]: Taking taylor expansion of 0 in lambda2
7.050 * [backup-simplify]: Simplify 0 into 0
7.050 * [taylor]: Taking taylor expansion of 0 in R
7.050 * [backup-simplify]: Simplify 0 into 0
7.051 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)))) into 0
7.051 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R))) into 0
7.051 * [taylor]: Taking taylor expansion of 0 in lambda1
7.051 * [backup-simplify]: Simplify 0 into 0
7.051 * [taylor]: Taking taylor expansion of 0 in lambda2
7.052 * [backup-simplify]: Simplify 0 into 0
7.052 * [taylor]: Taking taylor expansion of 0 in R
7.052 * [backup-simplify]: Simplify 0 into 0
7.052 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)))) into 0
7.053 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R))) into 0
7.053 * [taylor]: Taking taylor expansion of 0 in lambda2
7.053 * [backup-simplify]: Simplify 0 into 0
7.053 * [taylor]: Taking taylor expansion of 0 in R
7.053 * [backup-simplify]: Simplify 0 into 0
7.053 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)))) into 0
7.054 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R))) into 0
7.054 * [taylor]: Taking taylor expansion of 0 in R
7.054 * [backup-simplify]: Simplify 0 into 0
7.055 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) (/ 0 1)))) into 0
7.056 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))) into 0
7.056 * [backup-simplify]: Simplify 0 into 0
7.057 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
7.058 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)))) into 0
7.058 * [taylor]: Taking taylor expansion of 0 in phi2
7.058 * [backup-simplify]: Simplify 0 into 0
7.058 * [taylor]: Taking taylor expansion of 0 in lambda1
7.058 * [backup-simplify]: Simplify 0 into 0
7.058 * [taylor]: Taking taylor expansion of 0 in lambda2
7.058 * [backup-simplify]: Simplify 0 into 0
7.058 * [taylor]: Taking taylor expansion of 0 in R
7.058 * [backup-simplify]: Simplify 0 into 0
7.058 * [taylor]: Taking taylor expansion of 0 in lambda1
7.058 * [backup-simplify]: Simplify 0 into 0
7.058 * [taylor]: Taking taylor expansion of 0 in lambda2
7.058 * [backup-simplify]: Simplify 0 into 0
7.058 * [taylor]: Taking taylor expansion of 0 in R
7.058 * [backup-simplify]: Simplify 0 into 0
7.059 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
7.061 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)))) into 0
7.061 * [taylor]: Taking taylor expansion of 0 in lambda1
7.061 * [backup-simplify]: Simplify 0 into 0
7.061 * [taylor]: Taking taylor expansion of 0 in lambda2
7.061 * [backup-simplify]: Simplify 0 into 0
7.061 * [taylor]: Taking taylor expansion of 0 in R
7.061 * [backup-simplify]: Simplify 0 into 0
7.061 * [taylor]: Taking taylor expansion of 0 in lambda2
7.061 * [backup-simplify]: Simplify 0 into 0
7.061 * [taylor]: Taking taylor expansion of 0 in R
7.061 * [backup-simplify]: Simplify 0 into 0
7.061 * [taylor]: Taking taylor expansion of 0 in lambda2
7.061 * [backup-simplify]: Simplify 0 into 0
7.061 * [taylor]: Taking taylor expansion of 0 in R
7.062 * [backup-simplify]: Simplify 0 into 0
7.063 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
7.064 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)))) into 0
7.064 * [taylor]: Taking taylor expansion of 0 in lambda2
7.065 * [backup-simplify]: Simplify 0 into 0
7.065 * [taylor]: Taking taylor expansion of 0 in R
7.065 * [backup-simplify]: Simplify 0 into 0
7.065 * [taylor]: Taking taylor expansion of 0 in R
7.065 * [backup-simplify]: Simplify 0 into 0
7.065 * [taylor]: Taking taylor expansion of 0 in R
7.065 * [backup-simplify]: Simplify 0 into 0
7.065 * [taylor]: Taking taylor expansion of 0 in R
7.065 * [backup-simplify]: Simplify 0 into 0
7.066 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
7.068 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)))) into 0
7.068 * [taylor]: Taking taylor expansion of 0 in R
7.068 * [backup-simplify]: Simplify 0 into 0
7.068 * [backup-simplify]: Simplify 0 into 0
7.068 * [backup-simplify]: Simplify 0 into 0
7.068 * [backup-simplify]: Simplify 0 into 0
7.068 * [backup-simplify]: Simplify 0 into 0
7.070 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.072 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))))) into 0
7.072 * [backup-simplify]: Simplify 0 into 0
7.074 * [backup-simplify]: Simplify (* (* -1 (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2))))))))))) (* (/ 1 (/ 1 (- R))) (* 1 (* 1 (* 1 1))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
7.074 * * * [progress]: simplifying candidates
7.074 * * * * [progress]: [ 1 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R))>
7.074 * * * * [progress]: [ 2 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 1))) R))>
7.074 * * * * [progress]: [ 3 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R))>
7.074 * * * * [progress]: [ 4 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R))>
7.074 * * * * [progress]: [ 5 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (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)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R))>
7.075 * * * * [progress]: [ 6 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (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)))))))))) R))>
7.075 * * * * [progress]: [ 7 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (* (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)))))))))) R))>
7.075 * * * * [progress]: [ 8 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (* 1 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R))>
7.075 * * * * [progress]: [ 9 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (posit16->real (real->posit16 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R))>
7.075 * * * * [progress]: [ 10 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (+ (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)))))))))) R))>
7.075 * * * * [progress]: [ 11 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (+ (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)))))))))) R))>
7.075 * * * * [progress]: [ 12 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (+ (log 1) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R))>
7.075 * * * * [progress]: [ 13 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (log (exp (/ PI 2))) (log (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R))>
7.075 * * * * [progress]: [ 14 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* 1 (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R))>
7.075 * * * * [progress]: [ 15 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (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))))))))))) R))>
7.075 * * * * [progress]: [ 16 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (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)))))))))) R))>
7.075 * * * * [progress]: [ 17 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (log (exp 1))) R))>
7.075 * * * * [progress]: [ 18 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (pow (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) 1) R))>
7.075 * * * * [progress]: [ 19 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
7.075 * * * * [progress]: [ 20 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (exp (log (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R))>
7.075 * * * * [progress]: [ 21 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R))>
7.075 * * * * [progress]: [ 22 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (* (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)))))))))) R))>
7.075 * * * * [progress]: [ 23 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (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)))))))))) R))>
7.075 * * * * [progress]: [ 24 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (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)))))))))) R))>
7.075 * * * * [progress]: [ 25 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* 1 (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R))>
7.075 * * * * [progress]: [ 26 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (posit16->real (real->posit16 (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R))>
7.076 * * * * [progress]: [ 27 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (pow (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) 1)) R))>
7.076 * * * * [progress]: [ 28 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (pow (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))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R))>
7.076 * * * * [progress]: [ 29 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (pow (exp (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))))))))) R))>
7.076 * * * * [progress]: [ 30 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (pow (exp 1) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))>
7.076 * * * * [progress]: [ 31 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (/ (exp (/ PI 2)) (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R))>
7.076 * * * * [progress]: [ 32 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))>
7.076 * * * * [progress]: [ 33 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R))>
7.076 * * * * [progress]: [ 34 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (log (exp (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R))>
7.076 * * * * [progress]: [ 35 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (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))))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R))>
7.076 * * * * [progress]: [ 36 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (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)))))))))) R))>
7.076 * * * * [progress]: [ 37 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (* (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)))))))))) R))>
7.076 * * * * [progress]: [ 38 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (* 1 (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R))>
7.076 * * * * [progress]: [ 39 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (posit16->real (real->posit16 (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R))>
7.076 * * * * [progress]: [ 40 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (pow (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R) 1))>
7.076 * * * * [progress]: [ 41 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (pow (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R) 1))>
7.076 * * * * [progress]: [ 42 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (exp (+ (log (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (log R))))>
7.076 * * * * [progress]: [ 43 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (exp (log (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))))>
7.076 * * * * [progress]: [ 44 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (log (exp (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))))>
7.076 * * * * [progress]: [ 45 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (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))))))))) (* (* R R) R))))>
7.076 * * * * [progress]: [ 46 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))) (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))))>
7.076 * * * * [progress]: [ 47 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))))>
7.077 * * * * [progress]: [ 48 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (sqrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))))>
7.077 * * * * [progress]: [ 49 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* 1 (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)))>
7.077 * * * * [progress]: [ 50 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt R)) (* (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt R))))>
7.077 * * * * [progress]: [ 51 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (cbrt R) (cbrt R))) (cbrt R)))>
7.077 * * * * [progress]: [ 52 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt R)) (sqrt R)))>
7.077 * * * * [progress]: [ 53 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) 1) R))>
7.077 * * * * [progress]: [ 54 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* 1 (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)))>
7.077 * * * * [progress]: [ 55 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (cbrt (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)))))))))) R)))>
7.077 * * * * [progress]: [ 56 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (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))))))))) R)))>
7.077 * * * * [progress]: [ 57 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (log (exp 1)) R)))>
7.077 * * * * [progress]: [ 58 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (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))))))))) R)))>
7.077 * * * * [progress]: [ 59 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (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))))))))) R)))>
7.077 * * * * [progress]: [ 60 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* 1 (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)))>
7.077 * * * * [progress]: [ 61 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (posit16->real (real->posit16 (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))))>
7.077 * * * * [progress]: [ 62 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))>
7.077 * * * * [progress]: [ 63 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) R))>
7.077 * * * * [progress]: [ 64 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))))) R))>
7.077 * * * * [progress]: [ 65 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) R))>
7.077 * * * * [progress]: [ 66 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R))>
7.077 * * * * [progress]: [ 67 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R))>
7.077 * * * * [progress]: [ 68 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R))>
7.077 * * * * [progress]: [ 69 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) R))>
7.078 * * * * [progress]: [ 70 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))))) R))>
7.078 * * * * [progress]: [ 71 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) R))>
7.078 * * * * [progress]: [ 72 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))>
7.078 * * * * [progress]: [ 73 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R))>
7.078 * * * * [progress]: [ 74 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))>
7.078 * [simplify]: Simplifying (/ PI 2), (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))), (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))), (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))), (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))), (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))), (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))), (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))), (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))), (real->posit16 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))), (log (* (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))), (log (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))), (log (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))), (log (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))), (log 1), (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))), (log (exp (/ PI 2))), (log (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))), (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))), (log (exp (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))), (log (exp (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))), (log (exp 1)), (log (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))), (exp (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))), (* (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))), (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))), (* (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))), (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))), (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin 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7.080 * * [simplify]: iteration 1: (107 enodes)
7.114 * * [simplify]: iteration 2: (360 enodes)
7.205 * * [simplify]: iteration 3: (572 enodes)
7.361 * * [simplify]: iteration 4: (798 enodes)
7.625 * * [simplify]: iteration 5: (998 enodes)
7.989 * * [simplify]: Extracting #0: cost 41 inf + 0
7.989 * * [simplify]: Extracting #1: cost 181 inf + 4
7.991 * * [simplify]: Extracting #2: cost 337 inf + 854
7.995 * * [simplify]: Extracting #3: cost 377 inf + 3050
7.999 * * [simplify]: Extracting #4: cost 393 inf + 5085
8.004 * * [simplify]: Extracting #5: cost 350 inf + 11533
8.015 * * [simplify]: Extracting #6: cost 307 inf + 31208
8.077 * * [simplify]: Extracting #7: cost 137 inf + 212507
8.164 * * [simplify]: Extracting #8: cost 8 inf + 365846
8.282 * * [simplify]: Extracting #9: cost 0 inf + 365974
8.362 * * [simplify]: Extracting #10: cost 0 inf + 363594
8.455 * [simplify]: Simplified to (/ PI 2), (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))), (log (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))), (exp (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))), (* (cbrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (cbrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))), (cbrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))), (* (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos 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(* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))), (cbrt (exp (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))), (exp (* 3 (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))), (sqrt (exp (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))), (sqrt (exp (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))), (real->posit16 (exp (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))), (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))), (log (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))), (log (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))), (exp (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))), (* (* (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))), (* (cbrt (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (cbrt (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))), (cbrt (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))), (* (* (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))), (sqrt (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))), (sqrt (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))), (* (sqrt R) (sqrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))), (* (sqrt R) (sqrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))), (* (* (cbrt R) (cbrt R)) (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))), (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) (sqrt R)), (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))), (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))), (* R (* (cbrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (cbrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))), (* R (sqrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))), R, (* (cbrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) R), (* R (sqrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))), (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))), (real->posit16 (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))), (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))), (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))), (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))), (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))), (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))), (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))), (exp (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))), (exp (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))), (exp (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))), (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))), (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))), (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))
8.455 * * * * [progress]: [ 1 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R))>
8.456 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R))
8.456 * [simplify]: Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))) R))
8.456 * * * * [progress]: [ 2 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 1))) R))>
8.457 * * * * [progress]: [ 3 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R))>
8.457 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (exp (log (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))))) R))
8.457 * * * * [progress]: [ 4 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R))>
8.457 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (log (exp (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))))) R))
8.457 * * * * [progress]: [ 5 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (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)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R))>
8.457 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (* (* (cbrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (cbrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R))
8.458 * [simplify]: Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (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)))))))) (cbrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))))) R))
8.458 * * * * [progress]: [ 6 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (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)))))))))) R))>
8.458 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (cbrt (* (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))))) R))
8.459 * * * * [progress]: [ 7 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (* (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)))))))))) R))>
8.459 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (* (sqrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R))
8.459 * [simplify]: Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))))) R))
8.459 * * * * [progress]: [ 8 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (* 1 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R))>
8.459 * * * * [progress]: [ 9 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (posit16->real (real->posit16 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R))>
8.459 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (posit16->real (real->posit16 (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))))) R))
8.460 * * * * [progress]: [ 10 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (+ (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)))))))))) R))>
8.460 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (+ (log (* (cbrt (exp (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (cbrt (exp (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))))) (log (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R))
8.460 * [simplify]: Simplified (2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (+ (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 (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))))) R))
8.460 * * * * [progress]: [ 11 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (+ (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)))))))))) R))>
8.461 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (+ (* 1/2 (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (log (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R))
8.461 * [simplify]: Simplified (2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (+ (log (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (* 1/2 (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) R))
8.461 * * * * [progress]: [ 12 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (+ (log 1) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R))>
8.461 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (+ 0 (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R))
8.462 * [simplify]: Simplified (2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (+ 0 (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) R))
8.462 * * * * [progress]: [ 13 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (log (exp (/ PI 2))) (log (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R))>
8.462 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (log (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R))
8.462 * [simplify]: Simplified (2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) R))
8.462 * * * * [progress]: [ 14 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* 1 (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R))>
8.463 * [simplify]: Simplified (2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* 1 (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) R))
8.463 * * * * [progress]: [ 15 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (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))))))))))) R))>
8.463 * [simplify]: Simplified (2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (cbrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))) R))
8.463 * * * * [progress]: [ 16 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (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)))))))))) R))>
8.463 * [simplify]: Simplified (2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) R))
8.464 * * * * [progress]: [ 17 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (log (exp 1))) R))>
8.464 * [simplify]: Simplified (2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 1) R))
8.464 * * * * [progress]: [ 18 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (pow (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) 1) R))>
8.464 * * * * [progress]: [ 19 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
8.464 * * * * [progress]: [ 20 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (exp (log (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R))>
8.464 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (exp (log (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) R))
8.464 * * * * [progress]: [ 21 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R))>
8.464 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) R))
8.465 * * * * [progress]: [ 22 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (* (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)))))))))) R))>
8.465 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (* (cbrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (cbrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R))
8.465 * [simplify]: Simplified (2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (* (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 (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) R))
8.465 * * * * [progress]: [ 23 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (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)))))))))) R))>
8.465 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (cbrt (* (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) R))
8.466 * * * * [progress]: [ 24 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (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)))))))))) R))>
8.466 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R))
8.466 * [simplify]: Simplified (2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) R))
8.467 * * * * [progress]: [ 25 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* 1 (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R))>
8.467 * * * * [progress]: [ 26 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (posit16->real (real->posit16 (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R))>
8.467 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (posit16->real (real->posit16 (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) R))
8.467 * * * * [progress]: [ 27 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (pow (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) 1)) R))>
8.467 * * * * [progress]: [ 28 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (pow (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))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R))>
8.467 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (pow (exp (* (cbrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (cbrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R))
8.468 * * * * [progress]: [ 29 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (pow (exp (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))))))))) R))>
8.468 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (pow (exp (sqrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R))
8.468 * * * * [progress]: [ 30 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (pow (exp 1) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))>
8.468 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (pow E (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))
8.468 * * * * [progress]: [ 31 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (/ (exp (/ PI 2)) (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R))>
8.469 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (/ (sqrt (exp PI)) (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R))
8.469 * [simplify]: Simplified (2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (/ (sqrt (exp PI)) (exp (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))) R))
8.469 * * * * [progress]: [ 32 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))>
8.469 * * * * [progress]: [ 33 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R))>
8.469 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) R))
8.469 * * * * [progress]: [ 34 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (log (exp (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R))>
8.470 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (log (exp (exp (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))))) R))
8.470 * * * * [progress]: [ 35 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (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))))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R))>
8.470 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (* (* (cbrt (exp (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (cbrt (exp (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R))
8.470 * [simplify]: Simplified (2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (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))))))))) (cbrt (exp (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))))) R))
8.471 * * * * [progress]: [ 36 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (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)))))))))) R))>
8.471 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (cbrt (exp (* 3 (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))))) R))
8.471 * * * * [progress]: [ 37 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (* (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)))))))))) R))>
8.471 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (* (sqrt (exp (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R))
8.471 * [simplify]: Simplified (2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (* (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt (exp (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))))) R))
8.472 * * * * [progress]: [ 38 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (* 1 (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R))>
8.472 * * * * [progress]: [ 39 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (posit16->real (real->posit16 (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R))>
8.472 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (posit16->real (real->posit16 (exp (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))))) R))
8.472 * * * * [progress]: [ 40 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (pow (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R) 1))>
8.472 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (pow (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) 1))
8.472 * * * * [progress]: [ 41 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (pow (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R) 1))>
8.473 * * * * [progress]: [ 42 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (exp (+ (log (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (log R))))>
8.473 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (exp (log (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))))
8.473 * * * * [progress]: [ 43 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (exp (log (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))))>
8.473 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (exp (log (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))))
8.473 * * * * [progress]: [ 44 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (log (exp (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))))>
8.473 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (log (exp (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))))
8.473 * * * * [progress]: [ 45 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (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))))))))) (* (* R R) R))))>
8.474 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))))
8.474 * * * * [progress]: [ 46 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))) (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))))>
8.474 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (cbrt (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))) (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))))
8.474 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))) (cbrt (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))))
8.475 * * * * [progress]: [ 47 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))))>
8.475 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))))
8.475 * * * * [progress]: [ 48 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (sqrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))))>
8.475 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (sqrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))))
8.476 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (sqrt (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))))
8.476 * * * * [progress]: [ 49 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* 1 (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)))>
8.476 * * * * [progress]: [ 50 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt R)) (* (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt R))))>
8.476 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt R) (sqrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (* (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt R))))
8.476 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt R)) (* (sqrt R) (sqrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))))
8.477 * * * * [progress]: [ 51 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (cbrt R) (cbrt R))) (cbrt R)))>
8.477 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (* (cbrt R) (cbrt R)) (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (cbrt R)))
8.477 * * * * [progress]: [ 52 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt R)) (sqrt R)))>
8.477 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) (sqrt R)) (sqrt R)))
8.477 * * * * [progress]: [ 53 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) 1) R))>
8.477 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) R))
8.478 * * * * [progress]: [ 54 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* 1 (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)))>
8.478 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* 1 (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))))
8.478 * * * * [progress]: [ 55 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (cbrt (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)))))))))) R)))>
8.478 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* R (* (cbrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (cbrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))))))
8.478 * * * * [progress]: [ 56 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (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))))))))) R)))>
8.478 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* R (sqrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))))
8.479 * * * * [progress]: [ 57 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (log (exp 1)) R)))>
8.479 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
8.479 * * * * [progress]: [ 58 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (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))))))))) R)))>
8.479 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (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 (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) R)))
8.479 * * * * [progress]: [ 59 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (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))))))))) R)))>
8.480 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (* R (sqrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))))
8.480 * * * * [progress]: [ 60 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* 1 (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)))>
8.480 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* 1 (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))))
8.480 * * * * [progress]: [ 61 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (posit16->real (real->posit16 (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))))>
8.480 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (posit16->real (real->posit16 (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))))
8.480 * * * * [progress]: [ 62 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))>
8.481 * * * * [progress]: [ 63 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) R))>
8.481 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) R))
8.481 * * * * [progress]: [ 64 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))))) R))>
8.481 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) R))
8.481 * * * * [progress]: [ 65 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) R))>
8.481 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) R))
8.481 * * * * [progress]: [ 66 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R))>
8.482 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) R))
8.482 * * * * [progress]: [ 67 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R))>
8.482 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) R))
8.482 * * * * [progress]: [ 68 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R))>
8.482 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) R))
8.482 * * * * [progress]: [ 69 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) R))>
8.482 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) R))
8.483 * * * * [progress]: [ 70 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))))) R))>
8.483 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) R))
8.483 * * * * [progress]: [ 71 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) R))>
8.483 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) R))
8.483 * * * * [progress]: [ 72 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))>
8.483 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))
8.483 * * * * [progress]: [ 73 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R))>
8.484 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))
8.484 * * * * [progress]: [ 74 / 74 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))>
8.484 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))
8.484 * * * [progress]: adding candidates to table
10.000 * * [progress]: iteration 4 / 4
10.000 * * * [progress]: picking best candidate
10.201 * * * * [pick]: Picked  #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) R))>
10.201 * * * [progress]: localizing error
10.304 * * * [progress]: generating rewritten candidates
10.304 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1)
10.324 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2)
10.331 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
10.392 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 2)
10.414 * * * [progress]: generating series expansions
10.414 * * * * [progress]: [ 1 / 4 ] generating series at (2 1)
10.416 * [backup-simplify]: Simplify (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) into (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
10.416 * [approximate]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in (phi2 phi1 lambda1 lambda2) around 0
10.416 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2
10.416 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2
10.416 * [taylor]: Taking taylor expansion of 1/2 in lambda2
10.416 * [backup-simplify]: Simplify 1/2 into 1/2
10.416 * [taylor]: Taking taylor expansion of PI in lambda2
10.416 * [backup-simplify]: Simplify PI into PI
10.416 * [taylor]: Taking taylor expansion of (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2
10.417 * [backup-simplify]: Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
10.417 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1
10.417 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1
10.417 * [taylor]: Taking taylor expansion of 1/2 in lambda1
10.417 * [backup-simplify]: Simplify 1/2 into 1/2
10.417 * [taylor]: Taking taylor expansion of PI in lambda1
10.417 * [backup-simplify]: Simplify PI into PI
10.417 * [taylor]: Taking taylor expansion of (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1
10.418 * [backup-simplify]: Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
10.418 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1
10.418 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1
10.418 * [taylor]: Taking taylor expansion of 1/2 in phi1
10.418 * [backup-simplify]: Simplify 1/2 into 1/2
10.418 * [taylor]: Taking taylor expansion of PI in phi1
10.418 * [backup-simplify]: Simplify PI into PI
10.418 * [taylor]: Taking taylor expansion of (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1
10.419 * [backup-simplify]: Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
10.419 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2
10.419 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2
10.419 * [taylor]: Taking taylor expansion of 1/2 in phi2
10.419 * [backup-simplify]: Simplify 1/2 into 1/2
10.419 * [taylor]: Taking taylor expansion of PI in phi2
10.419 * [backup-simplify]: Simplify PI into PI
10.419 * [taylor]: Taking taylor expansion of (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2
10.419 * [backup-simplify]: Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
10.419 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2
10.419 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2
10.419 * [taylor]: Taking taylor expansion of 1/2 in phi2
10.420 * [backup-simplify]: Simplify 1/2 into 1/2
10.420 * [taylor]: Taking taylor expansion of PI in phi2
10.420 * [backup-simplify]: Simplify PI into PI
10.420 * [taylor]: Taking taylor expansion of (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2
10.420 * [backup-simplify]: Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
10.421 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI)
10.421 * [backup-simplify]: Simplify (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
10.422 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
10.424 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1
10.424 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1
10.424 * [taylor]: Taking taylor expansion of 1/2 in phi1
10.424 * [backup-simplify]: Simplify 1/2 into 1/2
10.424 * [taylor]: Taking taylor expansion of PI in phi1
10.424 * [backup-simplify]: Simplify PI into PI
10.425 * [taylor]: Taking taylor expansion of (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1
10.425 * [backup-simplify]: Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
10.425 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI)
10.426 * [backup-simplify]: Simplify (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
10.426 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
10.426 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1
10.426 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1
10.426 * [taylor]: Taking taylor expansion of 1/2 in lambda1
10.426 * [backup-simplify]: Simplify 1/2 into 1/2
10.426 * [taylor]: Taking taylor expansion of PI in lambda1
10.426 * [backup-simplify]: Simplify PI into PI
10.426 * [taylor]: Taking taylor expansion of (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1
10.427 * [backup-simplify]: Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
10.427 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI)
10.427 * [backup-simplify]: Simplify (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
10.428 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
10.428 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2
10.428 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2
10.428 * [taylor]: Taking taylor expansion of 1/2 in lambda2
10.428 * [backup-simplify]: Simplify 1/2 into 1/2
10.428 * [taylor]: Taking taylor expansion of PI in lambda2
10.428 * [backup-simplify]: Simplify PI into PI
10.428 * [taylor]: Taking taylor expansion of (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2
10.429 * [backup-simplify]: Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
10.429 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI)
10.429 * [backup-simplify]: Simplify (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
10.430 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
10.431 * [backup-simplify]: Simplify (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
10.431 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0
10.431 * [backup-simplify]: Simplify (- 0) into 0
10.432 * [backup-simplify]: Simplify (+ 0 0) into 0
10.432 * [taylor]: Taking taylor expansion of 0 in phi1
10.432 * [backup-simplify]: Simplify 0 into 0
10.432 * [taylor]: Taking taylor expansion of 0 in lambda1
10.432 * [backup-simplify]: Simplify 0 into 0
10.432 * [taylor]: Taking taylor expansion of 0 in lambda2
10.432 * [backup-simplify]: Simplify 0 into 0
10.432 * [backup-simplify]: Simplify 0 into 0
10.432 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0
10.433 * [backup-simplify]: Simplify (- 0) into 0
10.433 * [backup-simplify]: Simplify (+ 0 0) into 0
10.433 * [taylor]: Taking taylor expansion of 0 in lambda1
10.433 * [backup-simplify]: Simplify 0 into 0
10.433 * [taylor]: Taking taylor expansion of 0 in lambda2
10.433 * [backup-simplify]: Simplify 0 into 0
10.433 * [backup-simplify]: Simplify 0 into 0
10.433 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0
10.434 * [backup-simplify]: Simplify (- 0) into 0
10.434 * [backup-simplify]: Simplify (+ 0 0) into 0
10.434 * [taylor]: Taking taylor expansion of 0 in lambda2
10.434 * [backup-simplify]: Simplify 0 into 0
10.434 * [backup-simplify]: Simplify 0 into 0
10.434 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0
10.435 * [backup-simplify]: Simplify (- 0) into 0
10.435 * [backup-simplify]: Simplify (+ 0 0) into 0
10.435 * [backup-simplify]: Simplify 0 into 0
10.436 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0
10.436 * [backup-simplify]: Simplify (- 0) into 0
10.436 * [backup-simplify]: Simplify (+ 0 0) into 0
10.436 * [taylor]: Taking taylor expansion of 0 in phi1
10.436 * [backup-simplify]: Simplify 0 into 0
10.436 * [taylor]: Taking taylor expansion of 0 in lambda1
10.436 * [backup-simplify]: Simplify 0 into 0
10.436 * [taylor]: Taking taylor expansion of 0 in lambda2
10.436 * [backup-simplify]: Simplify 0 into 0
10.436 * [backup-simplify]: Simplify 0 into 0
10.436 * [taylor]: Taking taylor expansion of 0 in lambda1
10.436 * [backup-simplify]: Simplify 0 into 0
10.436 * [taylor]: Taking taylor expansion of 0 in lambda2
10.436 * [backup-simplify]: Simplify 0 into 0
10.436 * [backup-simplify]: Simplify 0 into 0
10.437 * [backup-simplify]: Simplify (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
10.438 * [backup-simplify]: Simplify (- (/ PI 2) (asin (+ (* (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
10.438 * [approximate]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in (phi2 phi1 lambda1 lambda2) around 0
10.438 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in lambda2
10.438 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2
10.438 * [taylor]: Taking taylor expansion of 1/2 in lambda2
10.438 * [backup-simplify]: Simplify 1/2 into 1/2
10.438 * [taylor]: Taking taylor expansion of PI in lambda2
10.438 * [backup-simplify]: Simplify PI into PI
10.438 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2
10.438 * [backup-simplify]: Simplify (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
10.438 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in lambda1
10.438 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1
10.438 * [taylor]: Taking taylor expansion of 1/2 in lambda1
10.438 * [backup-simplify]: Simplify 1/2 into 1/2
10.438 * [taylor]: Taking taylor expansion of PI in lambda1
10.438 * [backup-simplify]: Simplify PI into PI
10.438 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1
10.439 * [backup-simplify]: Simplify (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
10.439 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in phi1
10.439 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1
10.439 * [taylor]: Taking taylor expansion of 1/2 in phi1
10.439 * [backup-simplify]: Simplify 1/2 into 1/2
10.439 * [taylor]: Taking taylor expansion of PI in phi1
10.439 * [backup-simplify]: Simplify PI into PI
10.439 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1
10.439 * [backup-simplify]: Simplify (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
10.440 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in phi2
10.440 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2
10.440 * [taylor]: Taking taylor expansion of 1/2 in phi2
10.440 * [backup-simplify]: Simplify 1/2 into 1/2
10.440 * [taylor]: Taking taylor expansion of PI in phi2
10.440 * [backup-simplify]: Simplify PI into PI
10.440 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2
10.440 * [backup-simplify]: Simplify (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
10.440 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in phi2
10.440 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2
10.440 * [taylor]: Taking taylor expansion of 1/2 in phi2
10.440 * [backup-simplify]: Simplify 1/2 into 1/2
10.440 * [taylor]: Taking taylor expansion of PI in phi2
10.440 * [backup-simplify]: Simplify PI into PI
10.440 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2
10.441 * [backup-simplify]: Simplify (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
10.441 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI)
10.441 * [backup-simplify]: Simplify (- (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (- (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
10.442 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))) into (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
10.442 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in phi1
10.442 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1
10.442 * [taylor]: Taking taylor expansion of 1/2 in phi1
10.442 * [backup-simplify]: Simplify 1/2 into 1/2
10.442 * [taylor]: Taking taylor expansion of PI in phi1
10.442 * [backup-simplify]: Simplify PI into PI
10.442 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1
10.443 * [backup-simplify]: Simplify (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
10.443 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI)
10.444 * [backup-simplify]: Simplify (- (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (- (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
10.444 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))) into (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
10.444 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in lambda1
10.444 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1
10.444 * [taylor]: Taking taylor expansion of 1/2 in lambda1
10.444 * [backup-simplify]: Simplify 1/2 into 1/2
10.444 * [taylor]: Taking taylor expansion of PI in lambda1
10.444 * [backup-simplify]: Simplify PI into PI
10.444 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1
10.445 * [backup-simplify]: Simplify (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
10.445 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI)
10.446 * [backup-simplify]: Simplify (- (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (- (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
10.446 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))) into (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
10.446 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in lambda2
10.446 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2
10.446 * [taylor]: Taking taylor expansion of 1/2 in lambda2
10.446 * [backup-simplify]: Simplify 1/2 into 1/2
10.446 * [taylor]: Taking taylor expansion of PI in lambda2
10.446 * [backup-simplify]: Simplify PI into PI
10.447 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2
10.447 * [backup-simplify]: Simplify (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
10.447 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI)
10.448 * [backup-simplify]: Simplify (- (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (- (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
10.448 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))) into (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
10.449 * [backup-simplify]: Simplify (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
10.450 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0
10.450 * [backup-simplify]: Simplify (- 0) into 0
10.450 * [backup-simplify]: Simplify (+ 0 0) into 0
10.450 * [taylor]: Taking taylor expansion of 0 in phi1
10.450 * [backup-simplify]: Simplify 0 into 0
10.450 * [taylor]: Taking taylor expansion of 0 in lambda1
10.450 * [backup-simplify]: Simplify 0 into 0
10.450 * [taylor]: Taking taylor expansion of 0 in lambda2
10.450 * [backup-simplify]: Simplify 0 into 0
10.450 * [backup-simplify]: Simplify 0 into 0
10.451 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0
10.451 * [backup-simplify]: Simplify (- 0) into 0
10.451 * [backup-simplify]: Simplify (+ 0 0) into 0
10.451 * [taylor]: Taking taylor expansion of 0 in lambda1
10.451 * [backup-simplify]: Simplify 0 into 0
10.451 * [taylor]: Taking taylor expansion of 0 in lambda2
10.451 * [backup-simplify]: Simplify 0 into 0
10.451 * [backup-simplify]: Simplify 0 into 0
10.452 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0
10.452 * [backup-simplify]: Simplify (- 0) into 0
10.452 * [backup-simplify]: Simplify (+ 0 0) into 0
10.452 * [taylor]: Taking taylor expansion of 0 in lambda2
10.452 * [backup-simplify]: Simplify 0 into 0
10.452 * [backup-simplify]: Simplify 0 into 0
10.453 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0
10.453 * [backup-simplify]: Simplify (- 0) into 0
10.453 * [backup-simplify]: Simplify (+ 0 0) into 0
10.453 * [backup-simplify]: Simplify 0 into 0
10.454 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0
10.454 * [backup-simplify]: Simplify (- 0) into 0
10.455 * [backup-simplify]: Simplify (+ 0 0) into 0
10.455 * [taylor]: Taking taylor expansion of 0 in phi1
10.455 * [backup-simplify]: Simplify 0 into 0
10.455 * [taylor]: Taking taylor expansion of 0 in lambda1
10.455 * [backup-simplify]: Simplify 0 into 0
10.455 * [taylor]: Taking taylor expansion of 0 in lambda2
10.455 * [backup-simplify]: Simplify 0 into 0
10.455 * [backup-simplify]: Simplify 0 into 0
10.455 * [taylor]: Taking taylor expansion of 0 in lambda1
10.455 * [backup-simplify]: Simplify 0 into 0
10.455 * [taylor]: Taking taylor expansion of 0 in lambda2
10.455 * [backup-simplify]: Simplify 0 into 0
10.455 * [backup-simplify]: Simplify 0 into 0
10.456 * [backup-simplify]: Simplify (- (* 1/2 PI) (asin (+ (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))))))) into (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))))
10.458 * [backup-simplify]: Simplify (- (/ PI 2) (asin (+ (* (* (cos (/ 1 (- phi2))) (cos (/ 1 (- phi1)))) (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1))))))) into (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))
10.458 * [approximate]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in (phi2 phi1 lambda1 lambda2) around 0
10.458 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in lambda2
10.458 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2
10.458 * [taylor]: Taking taylor expansion of 1/2 in lambda2
10.458 * [backup-simplify]: Simplify 1/2 into 1/2
10.458 * [taylor]: Taking taylor expansion of PI in lambda2
10.458 * [backup-simplify]: Simplify PI into PI
10.458 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2
10.459 * [backup-simplify]: Simplify (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
10.459 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in lambda1
10.459 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1
10.459 * [taylor]: Taking taylor expansion of 1/2 in lambda1
10.459 * [backup-simplify]: Simplify 1/2 into 1/2
10.459 * [taylor]: Taking taylor expansion of PI in lambda1
10.459 * [backup-simplify]: Simplify PI into PI
10.459 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1
10.460 * [backup-simplify]: Simplify (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
10.460 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in phi1
10.460 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1
10.460 * [taylor]: Taking taylor expansion of 1/2 in phi1
10.460 * [backup-simplify]: Simplify 1/2 into 1/2
10.460 * [taylor]: Taking taylor expansion of PI in phi1
10.460 * [backup-simplify]: Simplify PI into PI
10.460 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1
10.461 * [backup-simplify]: Simplify (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
10.461 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in phi2
10.461 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2
10.461 * [taylor]: Taking taylor expansion of 1/2 in phi2
10.461 * [backup-simplify]: Simplify 1/2 into 1/2
10.461 * [taylor]: Taking taylor expansion of PI in phi2
10.461 * [backup-simplify]: Simplify PI into PI
10.461 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2
10.462 * [backup-simplify]: Simplify (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
10.462 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in phi2
10.462 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2
10.462 * [taylor]: Taking taylor expansion of 1/2 in phi2
10.462 * [backup-simplify]: Simplify 1/2 into 1/2
10.462 * [taylor]: Taking taylor expansion of PI in phi2
10.462 * [backup-simplify]: Simplify PI into PI
10.462 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2
10.463 * [backup-simplify]: Simplify (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
10.463 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI)
10.464 * [backup-simplify]: Simplify (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))
10.466 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))) into (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))))
10.466 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) in phi1
10.466 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1
10.466 * [taylor]: Taking taylor expansion of 1/2 in phi1
10.466 * [backup-simplify]: Simplify 1/2 into 1/2
10.466 * [taylor]: Taking taylor expansion of PI in phi1
10.466 * [backup-simplify]: Simplify PI into PI
10.466 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in phi1
10.467 * [backup-simplify]: Simplify (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
10.467 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI)
10.468 * [backup-simplify]: Simplify (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) into (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))))
10.469 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))))) into (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))
10.470 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in lambda1
10.470 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1
10.470 * [taylor]: Taking taylor expansion of 1/2 in lambda1
10.470 * [backup-simplify]: Simplify 1/2 into 1/2
10.470 * [taylor]: Taking taylor expansion of PI in lambda1
10.470 * [backup-simplify]: Simplify PI into PI
10.470 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1
10.471 * [backup-simplify]: Simplify (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
10.471 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI)
10.472 * [backup-simplify]: Simplify (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))
10.473 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))) into (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))))
10.473 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) in lambda2
10.473 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2
10.473 * [taylor]: Taking taylor expansion of 1/2 in lambda2
10.473 * [backup-simplify]: Simplify 1/2 into 1/2
10.473 * [taylor]: Taking taylor expansion of PI in lambda2
10.473 * [backup-simplify]: Simplify PI into PI
10.473 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in lambda2
10.474 * [backup-simplify]: Simplify (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
10.475 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI)
10.476 * [backup-simplify]: Simplify (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) into (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))))
10.477 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))))) into (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))
10.479 * [backup-simplify]: Simplify (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) into (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))))
10.479 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0
10.480 * [backup-simplify]: Simplify (- 0) into 0
10.480 * [backup-simplify]: Simplify (+ 0 0) into 0
10.480 * [taylor]: Taking taylor expansion of 0 in phi1
10.480 * [backup-simplify]: Simplify 0 into 0
10.480 * [taylor]: Taking taylor expansion of 0 in lambda1
10.480 * [backup-simplify]: Simplify 0 into 0
10.480 * [taylor]: Taking taylor expansion of 0 in lambda2
10.481 * [backup-simplify]: Simplify 0 into 0
10.481 * [backup-simplify]: Simplify 0 into 0
10.481 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0
10.482 * [backup-simplify]: Simplify (- 0) into 0
10.482 * [backup-simplify]: Simplify (+ 0 0) into 0
10.482 * [taylor]: Taking taylor expansion of 0 in lambda1
10.482 * [backup-simplify]: Simplify 0 into 0
10.482 * [taylor]: Taking taylor expansion of 0 in lambda2
10.482 * [backup-simplify]: Simplify 0 into 0
10.482 * [backup-simplify]: Simplify 0 into 0
10.483 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0
10.483 * [backup-simplify]: Simplify (- 0) into 0
10.484 * [backup-simplify]: Simplify (+ 0 0) into 0
10.484 * [taylor]: Taking taylor expansion of 0 in lambda2
10.484 * [backup-simplify]: Simplify 0 into 0
10.484 * [backup-simplify]: Simplify 0 into 0
10.485 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0
10.485 * [backup-simplify]: Simplify (- 0) into 0
10.486 * [backup-simplify]: Simplify (+ 0 0) into 0
10.486 * [backup-simplify]: Simplify 0 into 0
10.487 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0
10.487 * [backup-simplify]: Simplify (- 0) into 0
10.487 * [backup-simplify]: Simplify (+ 0 0) into 0
10.487 * [taylor]: Taking taylor expansion of 0 in phi1
10.487 * [backup-simplify]: Simplify 0 into 0
10.487 * [taylor]: Taking taylor expansion of 0 in lambda1
10.488 * [backup-simplify]: Simplify 0 into 0
10.488 * [taylor]: Taking taylor expansion of 0 in lambda2
10.488 * [backup-simplify]: Simplify 0 into 0
10.488 * [backup-simplify]: Simplify 0 into 0
10.488 * [taylor]: Taking taylor expansion of 0 in lambda1
10.488 * [backup-simplify]: Simplify 0 into 0
10.488 * [taylor]: Taking taylor expansion of 0 in lambda2
10.488 * [backup-simplify]: Simplify 0 into 0
10.488 * [backup-simplify]: Simplify 0 into 0
10.489 * [backup-simplify]: Simplify (- (* 1/2 PI) (asin (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- lambda2)))) (cos (/ -1 (/ 1 (- phi2))))))))))) into (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
10.490 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2)
10.490 * [backup-simplify]: Simplify (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
10.490 * [approximate]: Taking taylor expansion of (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in (phi2 phi1 lambda1 lambda2) around 0
10.490 * [taylor]: Taking taylor expansion of (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2
10.491 * [backup-simplify]: Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
10.491 * [taylor]: Taking taylor expansion of (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1
10.491 * [backup-simplify]: Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
10.491 * [taylor]: Taking taylor expansion of (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1
10.492 * [backup-simplify]: Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
10.492 * [taylor]: Taking taylor expansion of (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2
10.493 * [backup-simplify]: Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
10.493 * [taylor]: Taking taylor expansion of (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2
10.493 * [backup-simplify]: Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
10.493 * [taylor]: Taking taylor expansion of (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1
10.494 * [backup-simplify]: Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
10.494 * [taylor]: Taking taylor expansion of (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1
10.495 * [backup-simplify]: Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
10.495 * [taylor]: Taking taylor expansion of (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2
10.495 * [backup-simplify]: Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
10.496 * [backup-simplify]: Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
10.496 * [taylor]: Taking taylor expansion of 0 in phi1
10.496 * [backup-simplify]: Simplify 0 into 0
10.496 * [taylor]: Taking taylor expansion of 0 in lambda1
10.496 * [backup-simplify]: Simplify 0 into 0
10.496 * [taylor]: Taking taylor expansion of 0 in lambda2
10.496 * [backup-simplify]: Simplify 0 into 0
10.496 * [backup-simplify]: Simplify 0 into 0
10.496 * [taylor]: Taking taylor expansion of 0 in lambda1
10.496 * [backup-simplify]: Simplify 0 into 0
10.496 * [taylor]: Taking taylor expansion of 0 in lambda2
10.496 * [backup-simplify]: Simplify 0 into 0
10.496 * [backup-simplify]: Simplify 0 into 0
10.496 * [taylor]: Taking taylor expansion of 0 in lambda2
10.496 * [backup-simplify]: Simplify 0 into 0
10.496 * [backup-simplify]: Simplify 0 into 0
10.496 * [backup-simplify]: Simplify 0 into 0
10.496 * [taylor]: Taking taylor expansion of 0 in phi1
10.496 * [backup-simplify]: Simplify 0 into 0
10.497 * [taylor]: Taking taylor expansion of 0 in lambda1
10.497 * [backup-simplify]: Simplify 0 into 0
10.497 * [taylor]: Taking taylor expansion of 0 in lambda2
10.497 * [backup-simplify]: Simplify 0 into 0
10.497 * [backup-simplify]: Simplify 0 into 0
10.497 * [taylor]: Taking taylor expansion of 0 in lambda1
10.497 * [backup-simplify]: Simplify 0 into 0
10.497 * [taylor]: Taking taylor expansion of 0 in lambda2
10.497 * [backup-simplify]: Simplify 0 into 0
10.497 * [backup-simplify]: Simplify 0 into 0
10.497 * [backup-simplify]: Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
10.498 * [backup-simplify]: Simplify (asin (+ (* (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))) into (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
10.498 * [approximate]: Taking taylor expansion of (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in (phi2 phi1 lambda1 lambda2) around 0
10.498 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2
10.499 * [backup-simplify]: Simplify (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
10.499 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1
10.500 * [backup-simplify]: Simplify (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
10.500 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1
10.501 * [backup-simplify]: Simplify (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
10.501 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2
10.502 * [backup-simplify]: Simplify (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
10.502 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2
10.503 * [backup-simplify]: Simplify (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
10.503 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1
10.503 * [backup-simplify]: Simplify (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
10.504 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1
10.504 * [backup-simplify]: Simplify (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
10.504 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2
10.505 * [backup-simplify]: Simplify (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
10.506 * [backup-simplify]: Simplify (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
10.506 * [taylor]: Taking taylor expansion of 0 in phi1
10.506 * [backup-simplify]: Simplify 0 into 0
10.506 * [taylor]: Taking taylor expansion of 0 in lambda1
10.506 * [backup-simplify]: Simplify 0 into 0
10.506 * [taylor]: Taking taylor expansion of 0 in lambda2
10.506 * [backup-simplify]: Simplify 0 into 0
10.506 * [backup-simplify]: Simplify 0 into 0
10.506 * [taylor]: Taking taylor expansion of 0 in lambda1
10.506 * [backup-simplify]: Simplify 0 into 0
10.507 * [taylor]: Taking taylor expansion of 0 in lambda2
10.507 * [backup-simplify]: Simplify 0 into 0
10.507 * [backup-simplify]: Simplify 0 into 0
10.507 * [taylor]: Taking taylor expansion of 0 in lambda2
10.507 * [backup-simplify]: Simplify 0 into 0
10.507 * [backup-simplify]: Simplify 0 into 0
10.507 * [backup-simplify]: Simplify 0 into 0
10.507 * [taylor]: Taking taylor expansion of 0 in phi1
10.507 * [backup-simplify]: Simplify 0 into 0
10.507 * [taylor]: Taking taylor expansion of 0 in lambda1
10.507 * [backup-simplify]: Simplify 0 into 0
10.507 * [taylor]: Taking taylor expansion of 0 in lambda2
10.507 * [backup-simplify]: Simplify 0 into 0
10.507 * [backup-simplify]: Simplify 0 into 0
10.507 * [taylor]: Taking taylor expansion of 0 in lambda1
10.507 * [backup-simplify]: Simplify 0 into 0
10.507 * [taylor]: Taking taylor expansion of 0 in lambda2
10.507 * [backup-simplify]: Simplify 0 into 0
10.507 * [backup-simplify]: Simplify 0 into 0
10.508 * [backup-simplify]: Simplify (asin (+ (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1))))))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))
10.509 * [backup-simplify]: Simplify (asin (+ (* (* (cos (/ 1 (- phi2))) (cos (/ 1 (- phi1)))) (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) into (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
10.509 * [approximate]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in (phi2 phi1 lambda1 lambda2) around 0
10.509 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2
10.510 * [backup-simplify]: Simplify (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
10.510 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1
10.511 * [backup-simplify]: Simplify (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
10.511 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1
10.512 * [backup-simplify]: Simplify (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
10.512 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2
10.512 * [backup-simplify]: Simplify (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
10.513 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2
10.513 * [backup-simplify]: Simplify (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
10.513 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in phi1
10.514 * [backup-simplify]: Simplify (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
10.514 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1
10.515 * [backup-simplify]: Simplify (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
10.515 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in lambda2
10.516 * [backup-simplify]: Simplify (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
10.517 * [backup-simplify]: Simplify (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
10.517 * [taylor]: Taking taylor expansion of 0 in phi1
10.517 * [backup-simplify]: Simplify 0 into 0
10.517 * [taylor]: Taking taylor expansion of 0 in lambda1
10.517 * [backup-simplify]: Simplify 0 into 0
10.517 * [taylor]: Taking taylor expansion of 0 in lambda2
10.517 * [backup-simplify]: Simplify 0 into 0
10.517 * [backup-simplify]: Simplify 0 into 0
10.517 * [taylor]: Taking taylor expansion of 0 in lambda1
10.517 * [backup-simplify]: Simplify 0 into 0
10.517 * [taylor]: Taking taylor expansion of 0 in lambda2
10.517 * [backup-simplify]: Simplify 0 into 0
10.517 * [backup-simplify]: Simplify 0 into 0
10.517 * [taylor]: Taking taylor expansion of 0 in lambda2
10.517 * [backup-simplify]: Simplify 0 into 0
10.518 * [backup-simplify]: Simplify 0 into 0
10.518 * [backup-simplify]: Simplify 0 into 0
10.518 * [taylor]: Taking taylor expansion of 0 in phi1
10.518 * [backup-simplify]: Simplify 0 into 0
10.518 * [taylor]: Taking taylor expansion of 0 in lambda1
10.518 * [backup-simplify]: Simplify 0 into 0
10.518 * [taylor]: Taking taylor expansion of 0 in lambda2
10.518 * [backup-simplify]: Simplify 0 into 0
10.518 * [backup-simplify]: Simplify 0 into 0
10.518 * [taylor]: Taking taylor expansion of 0 in lambda1
10.518 * [backup-simplify]: Simplify 0 into 0
10.518 * [taylor]: Taking taylor expansion of 0 in lambda2
10.518 * [backup-simplify]: Simplify 0 into 0
10.518 * [backup-simplify]: Simplify 0 into 0
10.519 * [backup-simplify]: Simplify (asin (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- lambda2)))) (cos (/ -1 (/ 1 (- phi2)))))))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
10.519 * * * * [progress]: [ 3 / 4 ] generating series at (2)
10.520 * [backup-simplify]: Simplify (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) R) into (* (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) R)
10.521 * [approximate]: Taking taylor expansion of (* (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) R) in (phi2 phi1 lambda1 lambda2 R) around 0
10.521 * [taylor]: Taking taylor expansion of (* (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) R) in R
10.521 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in R
10.521 * [taylor]: Taking taylor expansion of (* 1/2 PI) in R
10.521 * [taylor]: Taking taylor expansion of 1/2 in R
10.521 * [backup-simplify]: Simplify 1/2 into 1/2
10.521 * [taylor]: Taking taylor expansion of PI in R
10.521 * [backup-simplify]: Simplify PI into PI
10.521 * [taylor]: Taking taylor expansion of (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in R
10.521 * [backup-simplify]: Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
10.521 * [taylor]: Taking taylor expansion of R in R
10.521 * [backup-simplify]: Simplify 0 into 0
10.521 * [backup-simplify]: Simplify 1 into 1
10.521 * [taylor]: Taking taylor expansion of (* (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) R) in lambda2
10.522 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2
10.522 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2
10.522 * [taylor]: Taking taylor expansion of 1/2 in lambda2
10.522 * [backup-simplify]: Simplify 1/2 into 1/2
10.522 * [taylor]: Taking taylor expansion of PI in lambda2
10.522 * [backup-simplify]: Simplify PI into PI
10.522 * [taylor]: Taking taylor expansion of (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2
10.522 * [backup-simplify]: Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
10.522 * [taylor]: Taking taylor expansion of R in lambda2
10.522 * [backup-simplify]: Simplify R into R
10.522 * [taylor]: Taking taylor expansion of (* (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) R) in lambda1
10.522 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1
10.522 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1
10.522 * [taylor]: Taking taylor expansion of 1/2 in lambda1
10.522 * [backup-simplify]: Simplify 1/2 into 1/2
10.522 * [taylor]: Taking taylor expansion of PI in lambda1
10.522 * [backup-simplify]: Simplify PI into PI
10.522 * [taylor]: Taking taylor expansion of (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1
10.523 * [backup-simplify]: Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
10.523 * [taylor]: Taking taylor expansion of R in lambda1
10.523 * [backup-simplify]: Simplify R into R
10.523 * [taylor]: Taking taylor expansion of (* (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) R) in phi1
10.523 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1
10.523 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1
10.523 * [taylor]: Taking taylor expansion of 1/2 in phi1
10.523 * [backup-simplify]: Simplify 1/2 into 1/2
10.523 * [taylor]: Taking taylor expansion of PI in phi1
10.523 * [backup-simplify]: Simplify PI into PI
10.523 * [taylor]: Taking taylor expansion of (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1
10.524 * [backup-simplify]: Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
10.524 * [taylor]: Taking taylor expansion of R in phi1
10.524 * [backup-simplify]: Simplify R into R
10.524 * [taylor]: Taking taylor expansion of (* (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) R) in phi2
10.524 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2
10.524 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2
10.524 * [taylor]: Taking taylor expansion of 1/2 in phi2
10.524 * [backup-simplify]: Simplify 1/2 into 1/2
10.524 * [taylor]: Taking taylor expansion of PI in phi2
10.524 * [backup-simplify]: Simplify PI into PI
10.524 * [taylor]: Taking taylor expansion of (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2
10.524 * [backup-simplify]: Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
10.524 * [taylor]: Taking taylor expansion of R in phi2
10.524 * [backup-simplify]: Simplify R into R
10.524 * [taylor]: Taking taylor expansion of (* (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) R) in phi2
10.524 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2
10.524 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2
10.525 * [taylor]: Taking taylor expansion of 1/2 in phi2
10.525 * [backup-simplify]: Simplify 1/2 into 1/2
10.525 * [taylor]: Taking taylor expansion of PI in phi2
10.525 * [backup-simplify]: Simplify PI into PI
10.525 * [taylor]: Taking taylor expansion of (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2
10.525 * [backup-simplify]: Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
10.525 * [taylor]: Taking taylor expansion of R in phi2
10.525 * [backup-simplify]: Simplify R into R
10.526 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI)
10.526 * [backup-simplify]: Simplify (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
10.527 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
10.528 * [backup-simplify]: Simplify (* (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) R) into (* (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) R)
10.529 * [taylor]: Taking taylor expansion of (* (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) R) in phi1
10.529 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1
10.529 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1
10.529 * [taylor]: Taking taylor expansion of 1/2 in phi1
10.529 * [backup-simplify]: Simplify 1/2 into 1/2
10.529 * [taylor]: Taking taylor expansion of PI in phi1
10.529 * [backup-simplify]: Simplify PI into PI
10.529 * [taylor]: Taking taylor expansion of (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1
10.529 * [backup-simplify]: Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
10.529 * [taylor]: Taking taylor expansion of R in phi1
10.529 * [backup-simplify]: Simplify R into R
10.530 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI)
10.530 * [backup-simplify]: Simplify (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
10.531 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
10.532 * [backup-simplify]: Simplify (* (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) R) into (* (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) R)
10.532 * [taylor]: Taking taylor expansion of (* (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) R) in lambda1
10.532 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1
10.532 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1
10.532 * [taylor]: Taking taylor expansion of 1/2 in lambda1
10.532 * [backup-simplify]: Simplify 1/2 into 1/2
10.532 * [taylor]: Taking taylor expansion of PI in lambda1
10.532 * [backup-simplify]: Simplify PI into PI
10.532 * [taylor]: Taking taylor expansion of (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1
10.533 * [backup-simplify]: Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
10.533 * [taylor]: Taking taylor expansion of R in lambda1
10.533 * [backup-simplify]: Simplify R into R
10.533 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI)
10.534 * [backup-simplify]: Simplify (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
10.535 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
10.536 * [backup-simplify]: Simplify (* (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) R) into (* (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) R)
10.536 * [taylor]: Taking taylor expansion of (* (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) R) in lambda2
10.536 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2
10.536 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2
10.536 * [taylor]: Taking taylor expansion of 1/2 in lambda2
10.536 * [backup-simplify]: Simplify 1/2 into 1/2
10.536 * [taylor]: Taking taylor expansion of PI in lambda2
10.536 * [backup-simplify]: Simplify PI into PI
10.536 * [taylor]: Taking taylor expansion of (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2
10.536 * [backup-simplify]: Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
10.536 * [taylor]: Taking taylor expansion of R in lambda2
10.536 * [backup-simplify]: Simplify R into R
10.537 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI)
10.537 * [backup-simplify]: Simplify (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
10.538 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
10.539 * [backup-simplify]: Simplify (* (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) R) into (* (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) R)
10.539 * [taylor]: Taking taylor expansion of (* (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) R) in R
10.539 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in R
10.539 * [taylor]: Taking taylor expansion of (* 1/2 PI) in R
10.539 * [taylor]: Taking taylor expansion of 1/2 in R
10.539 * [backup-simplify]: Simplify 1/2 into 1/2
10.539 * [taylor]: Taking taylor expansion of PI in R
10.539 * [backup-simplify]: Simplify PI into PI
10.539 * [taylor]: Taking taylor expansion of (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in R
10.540 * [backup-simplify]: Simplify (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
10.540 * [taylor]: Taking taylor expansion of R in R
10.540 * [backup-simplify]: Simplify 0 into 0
10.540 * [backup-simplify]: Simplify 1 into 1
10.542 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI)
10.542 * [backup-simplify]: Simplify (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
10.544 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
10.545 * [backup-simplify]: Simplify (* (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 0) into 0
10.545 * [backup-simplify]: Simplify 0 into 0
10.545 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0
10.546 * [backup-simplify]: Simplify (- 0) into 0
10.546 * [backup-simplify]: Simplify (+ 0 0) into 0
10.547 * [backup-simplify]: Simplify (+ (* (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 0) (* 0 R)) into 0
10.547 * [taylor]: Taking taylor expansion of 0 in phi1
10.547 * [backup-simplify]: Simplify 0 into 0
10.547 * [taylor]: Taking taylor expansion of 0 in lambda1
10.547 * [backup-simplify]: Simplify 0 into 0
10.547 * [taylor]: Taking taylor expansion of 0 in lambda2
10.547 * [backup-simplify]: Simplify 0 into 0
10.547 * [taylor]: Taking taylor expansion of 0 in R
10.547 * [backup-simplify]: Simplify 0 into 0
10.547 * [backup-simplify]: Simplify 0 into 0
10.548 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0
10.548 * [backup-simplify]: Simplify (- 0) into 0
10.548 * [backup-simplify]: Simplify (+ 0 0) into 0
10.549 * [backup-simplify]: Simplify (+ (* (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 0) (* 0 R)) into 0
10.549 * [taylor]: Taking taylor expansion of 0 in lambda1
10.550 * [backup-simplify]: Simplify 0 into 0
10.550 * [taylor]: Taking taylor expansion of 0 in lambda2
10.550 * [backup-simplify]: Simplify 0 into 0
10.550 * [taylor]: Taking taylor expansion of 0 in R
10.550 * [backup-simplify]: Simplify 0 into 0
10.550 * [backup-simplify]: Simplify 0 into 0
10.550 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0
10.551 * [backup-simplify]: Simplify (- 0) into 0
10.551 * [backup-simplify]: Simplify (+ 0 0) into 0
10.552 * [backup-simplify]: Simplify (+ (* (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 0) (* 0 R)) into 0
10.552 * [taylor]: Taking taylor expansion of 0 in lambda2
10.552 * [backup-simplify]: Simplify 0 into 0
10.552 * [taylor]: Taking taylor expansion of 0 in R
10.552 * [backup-simplify]: Simplify 0 into 0
10.552 * [backup-simplify]: Simplify 0 into 0
10.553 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0
10.553 * [backup-simplify]: Simplify (- 0) into 0
10.554 * [backup-simplify]: Simplify (+ 0 0) into 0
10.554 * [backup-simplify]: Simplify (+ (* (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 0) (* 0 R)) into 0
10.555 * [taylor]: Taking taylor expansion of 0 in R
10.555 * [backup-simplify]: Simplify 0 into 0
10.555 * [backup-simplify]: Simplify 0 into 0
10.555 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0
10.556 * [backup-simplify]: Simplify (- 0) into 0
10.556 * [backup-simplify]: Simplify (+ 0 0) into 0
10.557 * [backup-simplify]: Simplify (+ (* (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 1) (* 0 0)) into (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
10.557 * [backup-simplify]: Simplify (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
10.558 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0
10.558 * [backup-simplify]: Simplify (- 0) into 0
10.558 * [backup-simplify]: Simplify (+ 0 0) into 0
10.559 * [backup-simplify]: Simplify (+ (* (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 0) (+ (* 0 0) (* 0 R))) into 0
10.559 * [taylor]: Taking taylor expansion of 0 in phi1
10.559 * [backup-simplify]: Simplify 0 into 0
10.559 * [taylor]: Taking taylor expansion of 0 in lambda1
10.559 * [backup-simplify]: Simplify 0 into 0
10.559 * [taylor]: Taking taylor expansion of 0 in lambda2
10.559 * [backup-simplify]: Simplify 0 into 0
10.559 * [taylor]: Taking taylor expansion of 0 in R
10.559 * [backup-simplify]: Simplify 0 into 0
10.559 * [backup-simplify]: Simplify 0 into 0
10.559 * [taylor]: Taking taylor expansion of 0 in lambda1
10.559 * [backup-simplify]: Simplify 0 into 0
10.560 * [taylor]: Taking taylor expansion of 0 in lambda2
10.560 * [backup-simplify]: Simplify 0 into 0
10.560 * [taylor]: Taking taylor expansion of 0 in R
10.560 * [backup-simplify]: Simplify 0 into 0
10.560 * [backup-simplify]: Simplify 0 into 0
10.560 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0
10.560 * [backup-simplify]: Simplify (- 0) into 0
10.561 * [backup-simplify]: Simplify (+ 0 0) into 0
10.562 * [backup-simplify]: Simplify (+ (* (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 0) (+ (* 0 0) (* 0 R))) into 0
10.562 * [taylor]: Taking taylor expansion of 0 in lambda1
10.562 * [backup-simplify]: Simplify 0 into 0
10.562 * [taylor]: Taking taylor expansion of 0 in lambda2
10.562 * [backup-simplify]: Simplify 0 into 0
10.562 * [taylor]: Taking taylor expansion of 0 in R
10.562 * [backup-simplify]: Simplify 0 into 0
10.562 * [backup-simplify]: Simplify 0 into 0
10.562 * [taylor]: Taking taylor expansion of 0 in lambda2
10.562 * [backup-simplify]: Simplify 0 into 0
10.562 * [taylor]: Taking taylor expansion of 0 in R
10.562 * [backup-simplify]: Simplify 0 into 0
10.562 * [backup-simplify]: Simplify 0 into 0
10.562 * [taylor]: Taking taylor expansion of 0 in lambda2
10.562 * [backup-simplify]: Simplify 0 into 0
10.562 * [taylor]: Taking taylor expansion of 0 in R
10.562 * [backup-simplify]: Simplify 0 into 0
10.562 * [backup-simplify]: Simplify 0 into 0
10.563 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0
10.563 * [backup-simplify]: Simplify (- 0) into 0
10.563 * [backup-simplify]: Simplify (+ 0 0) into 0
10.564 * [backup-simplify]: Simplify (+ (* (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 0) (+ (* 0 0) (* 0 R))) into 0
10.564 * [taylor]: Taking taylor expansion of 0 in lambda2
10.564 * [backup-simplify]: Simplify 0 into 0
10.564 * [taylor]: Taking taylor expansion of 0 in R
10.564 * [backup-simplify]: Simplify 0 into 0
10.564 * [backup-simplify]: Simplify 0 into 0
10.565 * [backup-simplify]: Simplify (* (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (* R (* 1 (* 1 (* 1 1))))) into (* (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) R)
10.566 * [backup-simplify]: Simplify (* (- (/ PI 2) (asin (+ (* (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) (/ 1 R)) into (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) R)
10.566 * [approximate]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) R) in (phi2 phi1 lambda1 lambda2 R) around 0
10.566 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) R) in R
10.566 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in R
10.566 * [taylor]: Taking taylor expansion of (* 1/2 PI) in R
10.566 * [taylor]: Taking taylor expansion of 1/2 in R
10.566 * [backup-simplify]: Simplify 1/2 into 1/2
10.566 * [taylor]: Taking taylor expansion of PI in R
10.566 * [backup-simplify]: Simplify PI into PI
10.566 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in R
10.567 * [backup-simplify]: Simplify (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
10.567 * [taylor]: Taking taylor expansion of R in R
10.567 * [backup-simplify]: Simplify 0 into 0
10.567 * [backup-simplify]: Simplify 1 into 1
10.567 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI)
10.568 * [backup-simplify]: Simplify (- (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (- (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
10.568 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))) into (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
10.569 * [backup-simplify]: Simplify (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) 1) into (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
10.569 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) R) in lambda2
10.569 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in lambda2
10.569 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2
10.569 * [taylor]: Taking taylor expansion of 1/2 in lambda2
10.569 * [backup-simplify]: Simplify 1/2 into 1/2
10.569 * [taylor]: Taking taylor expansion of PI in lambda2
10.569 * [backup-simplify]: Simplify PI into PI
10.569 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2
10.570 * [backup-simplify]: Simplify (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
10.570 * [taylor]: Taking taylor expansion of R in lambda2
10.570 * [backup-simplify]: Simplify R into R
10.570 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI)
10.571 * [backup-simplify]: Simplify (- (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (- (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
10.571 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))) into (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
10.572 * [backup-simplify]: Simplify (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) R) into (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) R)
10.572 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) R) in lambda1
10.572 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in lambda1
10.572 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1
10.572 * [taylor]: Taking taylor expansion of 1/2 in lambda1
10.572 * [backup-simplify]: Simplify 1/2 into 1/2
10.572 * [taylor]: Taking taylor expansion of PI in lambda1
10.572 * [backup-simplify]: Simplify PI into PI
10.572 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1
10.573 * [backup-simplify]: Simplify (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
10.573 * [taylor]: Taking taylor expansion of R in lambda1
10.573 * [backup-simplify]: Simplify R into R
10.573 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI)
10.573 * [backup-simplify]: Simplify (- (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (- (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
10.574 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))) into (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
10.575 * [backup-simplify]: Simplify (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) R) into (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) R)
10.575 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) R) in phi1
10.575 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in phi1
10.575 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1
10.575 * [taylor]: Taking taylor expansion of 1/2 in phi1
10.575 * [backup-simplify]: Simplify 1/2 into 1/2
10.575 * [taylor]: Taking taylor expansion of PI in phi1
10.575 * [backup-simplify]: Simplify PI into PI
10.575 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1
10.575 * [backup-simplify]: Simplify (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
10.575 * [taylor]: Taking taylor expansion of R in phi1
10.575 * [backup-simplify]: Simplify R into R
10.576 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI)
10.576 * [backup-simplify]: Simplify (- (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (- (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
10.577 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))) into (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
10.578 * [backup-simplify]: Simplify (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) R) into (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) R)
10.578 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) R) in phi2
10.578 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in phi2
10.578 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2
10.578 * [taylor]: Taking taylor expansion of 1/2 in phi2
10.578 * [backup-simplify]: Simplify 1/2 into 1/2
10.578 * [taylor]: Taking taylor expansion of PI in phi2
10.578 * [backup-simplify]: Simplify PI into PI
10.578 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2
10.578 * [backup-simplify]: Simplify (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
10.578 * [taylor]: Taking taylor expansion of R in phi2
10.578 * [backup-simplify]: Simplify R into R
10.579 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI)
10.579 * [backup-simplify]: Simplify (- (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (- (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
10.580 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))) into (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
10.581 * [backup-simplify]: Simplify (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) R) into (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) R)
10.581 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) R) in phi2
10.581 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in phi2
10.581 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2
10.581 * [taylor]: Taking taylor expansion of 1/2 in phi2
10.581 * [backup-simplify]: Simplify 1/2 into 1/2
10.581 * [taylor]: Taking taylor expansion of PI in phi2
10.581 * [backup-simplify]: Simplify PI into PI
10.581 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2
10.581 * [backup-simplify]: Simplify (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
10.581 * [taylor]: Taking taylor expansion of R in phi2
10.581 * [backup-simplify]: Simplify R into R
10.582 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI)
10.582 * [backup-simplify]: Simplify (- (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (- (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
10.583 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))) into (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
10.584 * [backup-simplify]: Simplify (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) R) into (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) R)
10.584 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) R) in phi1
10.584 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in phi1
10.584 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1
10.584 * [taylor]: Taking taylor expansion of 1/2 in phi1
10.584 * [backup-simplify]: Simplify 1/2 into 1/2
10.584 * [taylor]: Taking taylor expansion of PI in phi1
10.584 * [backup-simplify]: Simplify PI into PI
10.584 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1
10.584 * [backup-simplify]: Simplify (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
10.584 * [taylor]: Taking taylor expansion of R in phi1
10.584 * [backup-simplify]: Simplify R into R
10.585 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI)
10.585 * [backup-simplify]: Simplify (- (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (- (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
10.586 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))) into (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
10.587 * [backup-simplify]: Simplify (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) R) into (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) R)
10.587 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) R) in lambda1
10.587 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in lambda1
10.587 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1
10.587 * [taylor]: Taking taylor expansion of 1/2 in lambda1
10.587 * [backup-simplify]: Simplify 1/2 into 1/2
10.587 * [taylor]: Taking taylor expansion of PI in lambda1
10.587 * [backup-simplify]: Simplify PI into PI
10.587 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1
10.588 * [backup-simplify]: Simplify (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
10.588 * [taylor]: Taking taylor expansion of R in lambda1
10.588 * [backup-simplify]: Simplify R into R
10.588 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI)
10.589 * [backup-simplify]: Simplify (- (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (- (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
10.589 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))) into (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
10.590 * [backup-simplify]: Simplify (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) R) into (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) R)
10.590 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) R) in lambda2
10.590 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in lambda2
10.590 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2
10.590 * [taylor]: Taking taylor expansion of 1/2 in lambda2
10.590 * [backup-simplify]: Simplify 1/2 into 1/2
10.590 * [taylor]: Taking taylor expansion of PI in lambda2
10.590 * [backup-simplify]: Simplify PI into PI
10.590 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2
10.591 * [backup-simplify]: Simplify (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
10.591 * [taylor]: Taking taylor expansion of R in lambda2
10.591 * [backup-simplify]: Simplify R into R
10.591 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI)
10.592 * [backup-simplify]: Simplify (- (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (- (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
10.592 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))) into (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
10.593 * [backup-simplify]: Simplify (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) R) into (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) R)
10.593 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) R) in R
10.593 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in R
10.593 * [taylor]: Taking taylor expansion of (* 1/2 PI) in R
10.593 * [taylor]: Taking taylor expansion of 1/2 in R
10.593 * [backup-simplify]: Simplify 1/2 into 1/2
10.593 * [taylor]: Taking taylor expansion of PI in R
10.593 * [backup-simplify]: Simplify PI into PI
10.593 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in R
10.594 * [backup-simplify]: Simplify (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
10.594 * [taylor]: Taking taylor expansion of R in R
10.594 * [backup-simplify]: Simplify 0 into 0
10.594 * [backup-simplify]: Simplify 1 into 1
10.594 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI)
10.595 * [backup-simplify]: Simplify (- (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (- (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
10.595 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))) into (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
10.596 * [backup-simplify]: Simplify (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) 1) into (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
10.597 * [backup-simplify]: Simplify (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
10.597 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0
10.597 * [backup-simplify]: Simplify (- 0) into 0
10.598 * [backup-simplify]: Simplify (+ 0 0) into 0
10.599 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) R) (/ 0 R)))) into 0
10.599 * [taylor]: Taking taylor expansion of 0 in phi1
10.599 * [backup-simplify]: Simplify 0 into 0
10.599 * [taylor]: Taking taylor expansion of 0 in lambda1
10.599 * [backup-simplify]: Simplify 0 into 0
10.599 * [taylor]: Taking taylor expansion of 0 in lambda2
10.599 * [backup-simplify]: Simplify 0 into 0
10.599 * [taylor]: Taking taylor expansion of 0 in R
10.599 * [backup-simplify]: Simplify 0 into 0
10.599 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0
10.599 * [backup-simplify]: Simplify (- 0) into 0
10.600 * [backup-simplify]: Simplify (+ 0 0) into 0
10.600 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) R) (/ 0 R)))) into 0
10.600 * [taylor]: Taking taylor expansion of 0 in lambda1
10.600 * [backup-simplify]: Simplify 0 into 0
10.601 * [taylor]: Taking taylor expansion of 0 in lambda2
10.601 * [backup-simplify]: Simplify 0 into 0
10.601 * [taylor]: Taking taylor expansion of 0 in R
10.601 * [backup-simplify]: Simplify 0 into 0
10.601 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0
10.601 * [backup-simplify]: Simplify (- 0) into 0
10.601 * [backup-simplify]: Simplify (+ 0 0) into 0
10.602 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) R) (/ 0 R)))) into 0
10.602 * [taylor]: Taking taylor expansion of 0 in lambda2
10.602 * [backup-simplify]: Simplify 0 into 0
10.602 * [taylor]: Taking taylor expansion of 0 in R
10.602 * [backup-simplify]: Simplify 0 into 0
10.603 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0
10.603 * [backup-simplify]: Simplify (- 0) into 0
10.603 * [backup-simplify]: Simplify (+ 0 0) into 0
10.604 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) R) (/ 0 R)))) into 0
10.604 * [taylor]: Taking taylor expansion of 0 in R
10.604 * [backup-simplify]: Simplify 0 into 0
10.605 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0
10.605 * [backup-simplify]: Simplify (- 0) into 0
10.605 * [backup-simplify]: Simplify (+ 0 0) into 0
10.606 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) (/ 0 1)))) into 0
10.606 * [backup-simplify]: Simplify 0 into 0
10.607 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0
10.607 * [backup-simplify]: Simplify (- 0) into 0
10.608 * [backup-simplify]: Simplify (+ 0 0) into 0
10.608 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
10.608 * [taylor]: Taking taylor expansion of 0 in phi1
10.608 * [backup-simplify]: Simplify 0 into 0
10.608 * [taylor]: Taking taylor expansion of 0 in lambda1
10.608 * [backup-simplify]: Simplify 0 into 0
10.609 * [taylor]: Taking taylor expansion of 0 in lambda2
10.609 * [backup-simplify]: Simplify 0 into 0
10.609 * [taylor]: Taking taylor expansion of 0 in R
10.609 * [backup-simplify]: Simplify 0 into 0
10.609 * [taylor]: Taking taylor expansion of 0 in lambda1
10.609 * [backup-simplify]: Simplify 0 into 0
10.609 * [taylor]: Taking taylor expansion of 0 in lambda2
10.609 * [backup-simplify]: Simplify 0 into 0
10.609 * [taylor]: Taking taylor expansion of 0 in R
10.609 * [backup-simplify]: Simplify 0 into 0
10.609 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0
10.610 * [backup-simplify]: Simplify (- 0) into 0
10.610 * [backup-simplify]: Simplify (+ 0 0) into 0
10.611 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
10.611 * [taylor]: Taking taylor expansion of 0 in lambda1
10.611 * [backup-simplify]: Simplify 0 into 0
10.611 * [taylor]: Taking taylor expansion of 0 in lambda2
10.611 * [backup-simplify]: Simplify 0 into 0
10.611 * [taylor]: Taking taylor expansion of 0 in R
10.611 * [backup-simplify]: Simplify 0 into 0
10.611 * [taylor]: Taking taylor expansion of 0 in lambda2
10.611 * [backup-simplify]: Simplify 0 into 0
10.611 * [taylor]: Taking taylor expansion of 0 in R
10.611 * [backup-simplify]: Simplify 0 into 0
10.611 * [taylor]: Taking taylor expansion of 0 in lambda2
10.611 * [backup-simplify]: Simplify 0 into 0
10.611 * [taylor]: Taking taylor expansion of 0 in R
10.611 * [backup-simplify]: Simplify 0 into 0
10.611 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0
10.612 * [backup-simplify]: Simplify (- 0) into 0
10.612 * [backup-simplify]: Simplify (+ 0 0) into 0
10.613 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
10.613 * [taylor]: Taking taylor expansion of 0 in lambda2
10.613 * [backup-simplify]: Simplify 0 into 0
10.613 * [taylor]: Taking taylor expansion of 0 in R
10.613 * [backup-simplify]: Simplify 0 into 0
10.613 * [taylor]: Taking taylor expansion of 0 in R
10.613 * [backup-simplify]: Simplify 0 into 0
10.613 * [taylor]: Taking taylor expansion of 0 in R
10.613 * [backup-simplify]: Simplify 0 into 0
10.613 * [taylor]: Taking taylor expansion of 0 in R
10.613 * [backup-simplify]: Simplify 0 into 0
10.614 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0
10.614 * [backup-simplify]: Simplify (- 0) into 0
10.614 * [backup-simplify]: Simplify (+ 0 0) into 0
10.615 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
10.615 * [taylor]: Taking taylor expansion of 0 in R
10.615 * [backup-simplify]: Simplify 0 into 0
10.615 * [backup-simplify]: Simplify 0 into 0
10.615 * [backup-simplify]: Simplify 0 into 0
10.615 * [backup-simplify]: Simplify 0 into 0
10.615 * [backup-simplify]: Simplify 0 into 0
10.616 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0
10.616 * [backup-simplify]: Simplify (- 0) into 0
10.616 * [backup-simplify]: Simplify (+ 0 0) into 0
10.618 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (* 1/2 PI) (asin (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.618 * [backup-simplify]: Simplify 0 into 0
10.619 * [backup-simplify]: Simplify (* (- (* 1/2 PI) (asin (+ (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))))))) (* (/ 1 (/ 1 R)) (* 1 (* 1 (* 1 1))))) into (* R (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))))
10.621 * [backup-simplify]: Simplify (* (- (/ PI 2) (asin (+ (* (* (cos (/ 1 (- phi2))) (cos (/ 1 (- phi1)))) (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1))))))) (/ 1 (- R))) into (* -1 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) R))
10.621 * [approximate]: Taking taylor expansion of (* -1 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) R)) in (phi2 phi1 lambda1 lambda2 R) around 0
10.621 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) R)) in R
10.621 * [taylor]: Taking taylor expansion of -1 in R
10.621 * [backup-simplify]: Simplify -1 into -1
10.621 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) R) in R
10.621 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in R
10.621 * [taylor]: Taking taylor expansion of (* 1/2 PI) in R
10.621 * [taylor]: Taking taylor expansion of 1/2 in R
10.621 * [backup-simplify]: Simplify 1/2 into 1/2
10.621 * [taylor]: Taking taylor expansion of PI in R
10.621 * [backup-simplify]: Simplify PI into PI
10.621 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in R
10.622 * [backup-simplify]: Simplify (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
10.622 * [taylor]: Taking taylor expansion of R in R
10.622 * [backup-simplify]: Simplify 0 into 0
10.622 * [backup-simplify]: Simplify 1 into 1
10.622 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI)
10.623 * [backup-simplify]: Simplify (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))
10.624 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))) into (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))))
10.625 * [backup-simplify]: Simplify (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) 1) into (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))
10.625 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) R)) in lambda2
10.625 * [taylor]: Taking taylor expansion of -1 in lambda2
10.625 * [backup-simplify]: Simplify -1 into -1
10.625 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) R) in lambda2
10.625 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in lambda2
10.625 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2
10.625 * [taylor]: Taking taylor expansion of 1/2 in lambda2
10.625 * [backup-simplify]: Simplify 1/2 into 1/2
10.625 * [taylor]: Taking taylor expansion of PI in lambda2
10.625 * [backup-simplify]: Simplify PI into PI
10.625 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2
10.626 * [backup-simplify]: Simplify (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
10.626 * [taylor]: Taking taylor expansion of R in lambda2
10.626 * [backup-simplify]: Simplify R into R
10.628 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI)
10.629 * [backup-simplify]: Simplify (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))
10.631 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))) into (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))))
10.632 * [backup-simplify]: Simplify (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) R) into (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) R)
10.632 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) R)) in lambda1
10.632 * [taylor]: Taking taylor expansion of -1 in lambda1
10.632 * [backup-simplify]: Simplify -1 into -1
10.632 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) R) in lambda1
10.632 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in lambda1
10.632 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1
10.632 * [taylor]: Taking taylor expansion of 1/2 in lambda1
10.632 * [backup-simplify]: Simplify 1/2 into 1/2
10.632 * [taylor]: Taking taylor expansion of PI in lambda1
10.632 * [backup-simplify]: Simplify PI into PI
10.632 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1
10.633 * [backup-simplify]: Simplify (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
10.633 * [taylor]: Taking taylor expansion of R in lambda1
10.633 * [backup-simplify]: Simplify R into R
10.633 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI)
10.634 * [backup-simplify]: Simplify (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))
10.635 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))) into (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))))
10.636 * [backup-simplify]: Simplify (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) R) into (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) R)
10.636 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) R)) in phi1
10.636 * [taylor]: Taking taylor expansion of -1 in phi1
10.636 * [backup-simplify]: Simplify -1 into -1
10.636 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) R) in phi1
10.636 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in phi1
10.636 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1
10.637 * [taylor]: Taking taylor expansion of 1/2 in phi1
10.637 * [backup-simplify]: Simplify 1/2 into 1/2
10.637 * [taylor]: Taking taylor expansion of PI in phi1
10.637 * [backup-simplify]: Simplify PI into PI
10.637 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1
10.637 * [backup-simplify]: Simplify (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
10.637 * [taylor]: Taking taylor expansion of R in phi1
10.637 * [backup-simplify]: Simplify R into R
10.638 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI)
10.638 * [backup-simplify]: Simplify (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))
10.640 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))) into (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))))
10.641 * [backup-simplify]: Simplify (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) R) into (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) R)
10.641 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) R)) in phi2
10.641 * [taylor]: Taking taylor expansion of -1 in phi2
10.641 * [backup-simplify]: Simplify -1 into -1
10.641 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) R) in phi2
10.641 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in phi2
10.641 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2
10.641 * [taylor]: Taking taylor expansion of 1/2 in phi2
10.641 * [backup-simplify]: Simplify 1/2 into 1/2
10.641 * [taylor]: Taking taylor expansion of PI in phi2
10.641 * [backup-simplify]: Simplify PI into PI
10.641 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2
10.642 * [backup-simplify]: Simplify (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
10.642 * [taylor]: Taking taylor expansion of R in phi2
10.642 * [backup-simplify]: Simplify R into R
10.642 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI)
10.643 * [backup-simplify]: Simplify (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))
10.643 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))) into (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))))
10.644 * [backup-simplify]: Simplify (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) R) into (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) R)
10.644 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) R)) in phi2
10.644 * [taylor]: Taking taylor expansion of -1 in phi2
10.644 * [backup-simplify]: Simplify -1 into -1
10.644 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) R) in phi2
10.644 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in phi2
10.644 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2
10.644 * [taylor]: Taking taylor expansion of 1/2 in phi2
10.644 * [backup-simplify]: Simplify 1/2 into 1/2
10.644 * [taylor]: Taking taylor expansion of PI in phi2
10.644 * [backup-simplify]: Simplify PI into PI
10.644 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2
10.645 * [backup-simplify]: Simplify (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
10.645 * [taylor]: Taking taylor expansion of R in phi2
10.645 * [backup-simplify]: Simplify R into R
10.645 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI)
10.646 * [backup-simplify]: Simplify (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))
10.646 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))) into (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))))
10.647 * [backup-simplify]: Simplify (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) R) into (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) R)
10.648 * [backup-simplify]: Simplify (* -1 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) R)) into (* -1 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) R))
10.648 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) R)) in phi1
10.648 * [taylor]: Taking taylor expansion of -1 in phi1
10.648 * [backup-simplify]: Simplify -1 into -1
10.648 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) R) in phi1
10.648 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) in phi1
10.648 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1
10.648 * [taylor]: Taking taylor expansion of 1/2 in phi1
10.648 * [backup-simplify]: Simplify 1/2 into 1/2
10.648 * [taylor]: Taking taylor expansion of PI in phi1
10.648 * [backup-simplify]: Simplify PI into PI
10.648 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in phi1
10.648 * [backup-simplify]: Simplify (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
10.649 * [taylor]: Taking taylor expansion of R in phi1
10.649 * [backup-simplify]: Simplify R into R
10.649 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI)
10.649 * [backup-simplify]: Simplify (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) into (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))))
10.650 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))))) into (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))
10.651 * [backup-simplify]: Simplify (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) R) into (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) R)
10.652 * [backup-simplify]: Simplify (* -1 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) R)) into (* -1 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) R))
10.652 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) R)) in lambda1
10.652 * [taylor]: Taking taylor expansion of -1 in lambda1
10.652 * [backup-simplify]: Simplify -1 into -1
10.652 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) R) in lambda1
10.652 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in lambda1
10.652 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1
10.652 * [taylor]: Taking taylor expansion of 1/2 in lambda1
10.652 * [backup-simplify]: Simplify 1/2 into 1/2
10.652 * [taylor]: Taking taylor expansion of PI in lambda1
10.652 * [backup-simplify]: Simplify PI into PI
10.652 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1
10.652 * [backup-simplify]: Simplify (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
10.652 * [taylor]: Taking taylor expansion of R in lambda1
10.652 * [backup-simplify]: Simplify R into R
10.653 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI)
10.653 * [backup-simplify]: Simplify (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))
10.654 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))) into (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))))
10.654 * [backup-simplify]: Simplify (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) R) into (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) R)
10.655 * [backup-simplify]: Simplify (* -1 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) R)) into (* -1 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) R))
10.655 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) R)) in lambda2
10.655 * [taylor]: Taking taylor expansion of -1 in lambda2
10.655 * [backup-simplify]: Simplify -1 into -1
10.655 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) R) in lambda2
10.655 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) in lambda2
10.655 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2
10.655 * [taylor]: Taking taylor expansion of 1/2 in lambda2
10.655 * [backup-simplify]: Simplify 1/2 into 1/2
10.655 * [taylor]: Taking taylor expansion of PI in lambda2
10.655 * [backup-simplify]: Simplify PI into PI
10.655 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in lambda2
10.656 * [backup-simplify]: Simplify (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
10.656 * [taylor]: Taking taylor expansion of R in lambda2
10.656 * [backup-simplify]: Simplify R into R
10.656 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI)
10.657 * [backup-simplify]: Simplify (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) into (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))))
10.657 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))))) into (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))
10.658 * [backup-simplify]: Simplify (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) R) into (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) R)
10.659 * [backup-simplify]: Simplify (* -1 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) R)) into (* -1 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) R))
10.659 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) R)) in R
10.659 * [taylor]: Taking taylor expansion of -1 in R
10.659 * [backup-simplify]: Simplify -1 into -1
10.659 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) R) in R
10.659 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in R
10.659 * [taylor]: Taking taylor expansion of (* 1/2 PI) in R
10.659 * [taylor]: Taking taylor expansion of 1/2 in R
10.659 * [backup-simplify]: Simplify 1/2 into 1/2
10.659 * [taylor]: Taking taylor expansion of PI in R
10.659 * [backup-simplify]: Simplify PI into PI
10.659 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in R
10.660 * [backup-simplify]: Simplify (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
10.660 * [taylor]: Taking taylor expansion of R in R
10.660 * [backup-simplify]: Simplify 0 into 0
10.660 * [backup-simplify]: Simplify 1 into 1
10.660 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI)
10.660 * [backup-simplify]: Simplify (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))
10.661 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))) into (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))))
10.662 * [backup-simplify]: Simplify (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) 1) into (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))
10.663 * [backup-simplify]: Simplify (* -1 (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))) into (* -1 (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))))
10.663 * [backup-simplify]: Simplify (* -1 (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))))) into (* -1 (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))))
10.664 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0
10.664 * [backup-simplify]: Simplify (- 0) into 0
10.665 * [backup-simplify]: Simplify (+ 0 0) into 0
10.665 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) R) (/ 0 R)))) into 0
10.666 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) R))) into 0
10.666 * [taylor]: Taking taylor expansion of 0 in phi1
10.666 * [backup-simplify]: Simplify 0 into 0
10.666 * [taylor]: Taking taylor expansion of 0 in lambda1
10.666 * [backup-simplify]: Simplify 0 into 0
10.666 * [taylor]: Taking taylor expansion of 0 in lambda2
10.666 * [backup-simplify]: Simplify 0 into 0
10.666 * [taylor]: Taking taylor expansion of 0 in R
10.667 * [backup-simplify]: Simplify 0 into 0
10.667 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0
10.667 * [backup-simplify]: Simplify (- 0) into 0
10.667 * [backup-simplify]: Simplify (+ 0 0) into 0
10.668 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) R) (/ 0 R)))) into 0
10.669 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) R))) into 0
10.669 * [taylor]: Taking taylor expansion of 0 in lambda1
10.669 * [backup-simplify]: Simplify 0 into 0
10.669 * [taylor]: Taking taylor expansion of 0 in lambda2
10.669 * [backup-simplify]: Simplify 0 into 0
10.669 * [taylor]: Taking taylor expansion of 0 in R
10.669 * [backup-simplify]: Simplify 0 into 0
10.670 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0
10.670 * [backup-simplify]: Simplify (- 0) into 0
10.670 * [backup-simplify]: Simplify (+ 0 0) into 0
10.671 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) R) (/ 0 R)))) into 0
10.672 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) R))) into 0
10.672 * [taylor]: Taking taylor expansion of 0 in lambda2
10.672 * [backup-simplify]: Simplify 0 into 0
10.672 * [taylor]: Taking taylor expansion of 0 in R
10.672 * [backup-simplify]: Simplify 0 into 0
10.673 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0
10.673 * [backup-simplify]: Simplify (- 0) into 0
10.673 * [backup-simplify]: Simplify (+ 0 0) into 0
10.674 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) R) (/ 0 R)))) into 0
10.675 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) R))) into 0
10.675 * [taylor]: Taking taylor expansion of 0 in R
10.675 * [backup-simplify]: Simplify 0 into 0
10.676 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0
10.676 * [backup-simplify]: Simplify (- 0) into 0
10.676 * [backup-simplify]: Simplify (+ 0 0) into 0
10.677 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) (/ 0 1)))) into 0
10.678 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))))) into 0
10.678 * [backup-simplify]: Simplify 0 into 0
10.679 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0
10.679 * [backup-simplify]: Simplify (- 0) into 0
10.680 * [backup-simplify]: Simplify (+ 0 0) into 0
10.680 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
10.682 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) R)))) into 0
10.682 * [taylor]: Taking taylor expansion of 0 in phi1
10.682 * [backup-simplify]: Simplify 0 into 0
10.682 * [taylor]: Taking taylor expansion of 0 in lambda1
10.682 * [backup-simplify]: Simplify 0 into 0
10.682 * [taylor]: Taking taylor expansion of 0 in lambda2
10.682 * [backup-simplify]: Simplify 0 into 0
10.682 * [taylor]: Taking taylor expansion of 0 in R
10.682 * [backup-simplify]: Simplify 0 into 0
10.682 * [taylor]: Taking taylor expansion of 0 in lambda1
10.682 * [backup-simplify]: Simplify 0 into 0
10.682 * [taylor]: Taking taylor expansion of 0 in lambda2
10.682 * [backup-simplify]: Simplify 0 into 0
10.682 * [taylor]: Taking taylor expansion of 0 in R
10.682 * [backup-simplify]: Simplify 0 into 0
10.683 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0
10.683 * [backup-simplify]: Simplify (- 0) into 0
10.683 * [backup-simplify]: Simplify (+ 0 0) into 0
10.684 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
10.685 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) R)))) into 0
10.685 * [taylor]: Taking taylor expansion of 0 in lambda1
10.685 * [backup-simplify]: Simplify 0 into 0
10.685 * [taylor]: Taking taylor expansion of 0 in lambda2
10.685 * [backup-simplify]: Simplify 0 into 0
10.685 * [taylor]: Taking taylor expansion of 0 in R
10.685 * [backup-simplify]: Simplify 0 into 0
10.685 * [taylor]: Taking taylor expansion of 0 in lambda2
10.685 * [backup-simplify]: Simplify 0 into 0
10.685 * [taylor]: Taking taylor expansion of 0 in R
10.685 * [backup-simplify]: Simplify 0 into 0
10.685 * [taylor]: Taking taylor expansion of 0 in lambda2
10.685 * [backup-simplify]: Simplify 0 into 0
10.685 * [taylor]: Taking taylor expansion of 0 in R
10.685 * [backup-simplify]: Simplify 0 into 0
10.686 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0
10.686 * [backup-simplify]: Simplify (- 0) into 0
10.687 * [backup-simplify]: Simplify (+ 0 0) into 0
10.688 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
10.690 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) R)))) into 0
10.690 * [taylor]: Taking taylor expansion of 0 in lambda2
10.690 * [backup-simplify]: Simplify 0 into 0
10.690 * [taylor]: Taking taylor expansion of 0 in R
10.690 * [backup-simplify]: Simplify 0 into 0
10.690 * [taylor]: Taking taylor expansion of 0 in R
10.690 * [backup-simplify]: Simplify 0 into 0
10.690 * [taylor]: Taking taylor expansion of 0 in R
10.690 * [backup-simplify]: Simplify 0 into 0
10.690 * [taylor]: Taking taylor expansion of 0 in R
10.690 * [backup-simplify]: Simplify 0 into 0
10.691 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0
10.691 * [backup-simplify]: Simplify (- 0) into 0
10.692 * [backup-simplify]: Simplify (+ 0 0) into 0
10.693 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
10.695 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) R)))) into 0
10.695 * [taylor]: Taking taylor expansion of 0 in R
10.695 * [backup-simplify]: Simplify 0 into 0
10.695 * [backup-simplify]: Simplify 0 into 0
10.695 * [backup-simplify]: Simplify 0 into 0
10.695 * [backup-simplify]: Simplify 0 into 0
10.695 * [backup-simplify]: Simplify 0 into 0
10.696 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0
10.697 * [backup-simplify]: Simplify (- 0) into 0
10.697 * [backup-simplify]: Simplify (+ 0 0) into 0
10.699 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.701 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))))) into 0
10.701 * [backup-simplify]: Simplify 0 into 0
10.703 * [backup-simplify]: Simplify (* (* -1 (- (* 1/2 PI) (asin (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2)))))))))))) (* (/ 1 (/ 1 (- R))) (* 1 (* 1 (* 1 1))))) into (* (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) R)
10.703 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 2)
10.703 * [backup-simplify]: Simplify (* (sin phi2) (sin phi1)) into (* (sin phi1) (sin phi2))
10.704 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi2 phi1) around 0
10.704 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1
10.704 * [taylor]: Taking taylor expansion of (sin phi1) in phi1
10.704 * [taylor]: Taking taylor expansion of phi1 in phi1
10.704 * [backup-simplify]: Simplify 0 into 0
10.704 * [backup-simplify]: Simplify 1 into 1
10.704 * [taylor]: Taking taylor expansion of (sin phi2) in phi1
10.704 * [taylor]: Taking taylor expansion of phi2 in phi1
10.704 * [backup-simplify]: Simplify phi2 into phi2
10.704 * [backup-simplify]: Simplify (sin phi2) into (sin phi2)
10.704 * [backup-simplify]: Simplify (cos phi2) into (cos phi2)
10.704 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2
10.704 * [taylor]: Taking taylor expansion of (sin phi1) in phi2
10.704 * [taylor]: Taking taylor expansion of phi1 in phi2
10.704 * [backup-simplify]: Simplify phi1 into phi1
10.704 * [backup-simplify]: Simplify (sin phi1) into (sin phi1)
10.704 * [backup-simplify]: Simplify (cos phi1) into (cos phi1)
10.704 * [taylor]: Taking taylor expansion of (sin phi2) in phi2
10.704 * [taylor]: Taking taylor expansion of phi2 in phi2
10.704 * [backup-simplify]: Simplify 0 into 0
10.704 * [backup-simplify]: Simplify 1 into 1
10.704 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2
10.704 * [taylor]: Taking taylor expansion of (sin phi1) in phi2
10.704 * [taylor]: Taking taylor expansion of phi1 in phi2
10.704 * [backup-simplify]: Simplify phi1 into phi1
10.704 * [backup-simplify]: Simplify (sin phi1) into (sin phi1)
10.704 * [backup-simplify]: Simplify (cos phi1) into (cos phi1)
10.704 * [taylor]: Taking taylor expansion of (sin phi2) in phi2
10.704 * [taylor]: Taking taylor expansion of phi2 in phi2
10.704 * [backup-simplify]: Simplify 0 into 0
10.704 * [backup-simplify]: Simplify 1 into 1
10.704 * [backup-simplify]: Simplify (* (sin phi1) 1) into (sin phi1)
10.705 * [backup-simplify]: Simplify (* (cos phi1) 0) into 0
10.705 * [backup-simplify]: Simplify (+ (sin phi1) 0) into (sin phi1)
10.705 * [backup-simplify]: Simplify (* (sin phi1) 0) into 0
10.705 * [taylor]: Taking taylor expansion of 0 in phi1
10.705 * [backup-simplify]: Simplify 0 into 0
10.705 * [backup-simplify]: Simplify 0 into 0
10.705 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
10.706 * [backup-simplify]: Simplify (+ 0) into 0
10.706 * [backup-simplify]: Simplify (+ (* (sin phi1) 0) (* 0 1)) into 0
10.707 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.708 * [backup-simplify]: Simplify (+ (* (cos phi1) 0) (* 0 0)) into 0
10.708 * [backup-simplify]: Simplify (+ 0 0) into 0
10.709 * [backup-simplify]: Simplify (+ (* (sin phi1) 1) (* 0 0)) into (sin phi1)
10.709 * [taylor]: Taking taylor expansion of (sin phi1) in phi1
10.709 * [taylor]: Taking taylor expansion of phi1 in phi1
10.709 * [backup-simplify]: Simplify 0 into 0
10.709 * [backup-simplify]: Simplify 1 into 1
10.709 * [backup-simplify]: Simplify 0 into 0
10.709 * [backup-simplify]: Simplify 0 into 0
10.709 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.710 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.711 * [backup-simplify]: Simplify (+ (* (sin phi1) 0) (+ (* 0 0) (* 0 1))) into 0
10.712 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.712 * [backup-simplify]: Simplify (+ (* (cos phi1) 0) (+ (* 0 0) (* 0 0))) into 0
10.712 * [backup-simplify]: Simplify (+ 0 0) into 0
10.713 * [backup-simplify]: Simplify (+ (* (sin phi1) 0) (+ (* 0 1) (* 0 0))) into 0
10.713 * [taylor]: Taking taylor expansion of 0 in phi1
10.713 * [backup-simplify]: Simplify 0 into 0
10.713 * [backup-simplify]: Simplify 0 into 0
10.714 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
10.714 * [backup-simplify]: Simplify 1 into 1
10.714 * [backup-simplify]: Simplify 0 into 0
10.715 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
10.716 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
10.717 * [backup-simplify]: Simplify (+ (* (sin phi1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.718 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
10.719 * [backup-simplify]: Simplify (+ (* (cos phi1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
10.719 * [backup-simplify]: Simplify (+ 0 0) into 0
10.720 * [backup-simplify]: Simplify (+ (* (sin phi1) -1/6) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into (- (* 1/6 (sin phi1)))
10.720 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi1))) in phi1
10.720 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi1)) in phi1
10.720 * [taylor]: Taking taylor expansion of 1/6 in phi1
10.720 * [backup-simplify]: Simplify 1/6 into 1/6
10.720 * [taylor]: Taking taylor expansion of (sin phi1) in phi1
10.720 * [taylor]: Taking taylor expansion of phi1 in phi1
10.720 * [backup-simplify]: Simplify 0 into 0
10.720 * [backup-simplify]: Simplify 1 into 1
10.722 * [backup-simplify]: Simplify (* 1/6 0) into 0
10.722 * [backup-simplify]: Simplify (- 0) into 0
10.722 * [backup-simplify]: Simplify 0 into 0
10.723 * [backup-simplify]: Simplify 0 into 0
10.723 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.723 * [backup-simplify]: Simplify 0 into 0
10.723 * [backup-simplify]: Simplify 0 into 0
10.725 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
10.727 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0
10.728 * [backup-simplify]: Simplify (+ (* (sin phi1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
10.729 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
10.730 * [backup-simplify]: Simplify (+ (* (cos phi1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
10.730 * [backup-simplify]: Simplify (+ 0 0) into 0
10.731 * [backup-simplify]: Simplify (+ (* (sin phi1) 0) (+ (* 0 -1/6) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
10.731 * [taylor]: Taking taylor expansion of 0 in phi1
10.731 * [backup-simplify]: Simplify 0 into 0
10.731 * [backup-simplify]: Simplify 0 into 0
10.731 * [backup-simplify]: Simplify (* 1 (* phi1 phi2)) into (* phi1 phi2)
10.732 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))
10.732 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in (phi2 phi1) around 0
10.732 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1
10.732 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1
10.732 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
10.732 * [taylor]: Taking taylor expansion of phi2 in phi1
10.732 * [backup-simplify]: Simplify phi2 into phi2
10.732 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
10.732 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
10.732 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
10.732 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1
10.732 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
10.732 * [taylor]: Taking taylor expansion of phi1 in phi1
10.732 * [backup-simplify]: Simplify 0 into 0
10.732 * [backup-simplify]: Simplify 1 into 1
10.732 * [backup-simplify]: Simplify (/ 1 1) into 1
10.732 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
10.732 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2
10.732 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2
10.732 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
10.732 * [taylor]: Taking taylor expansion of phi2 in phi2
10.733 * [backup-simplify]: Simplify 0 into 0
10.733 * [backup-simplify]: Simplify 1 into 1
10.733 * [backup-simplify]: Simplify (/ 1 1) into 1
10.733 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
10.733 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2
10.733 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
10.733 * [taylor]: Taking taylor expansion of phi1 in phi2
10.733 * [backup-simplify]: Simplify phi1 into phi1
10.733 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
10.733 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
10.733 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
10.733 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2
10.733 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2
10.733 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
10.733 * [taylor]: Taking taylor expansion of phi2 in phi2
10.733 * [backup-simplify]: Simplify 0 into 0
10.733 * [backup-simplify]: Simplify 1 into 1
10.734 * [backup-simplify]: Simplify (/ 1 1) into 1
10.734 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
10.734 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2
10.734 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
10.734 * [taylor]: Taking taylor expansion of phi1 in phi2
10.734 * [backup-simplify]: Simplify phi1 into phi1
10.734 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
10.734 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
10.734 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
10.734 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 1) into (sin (/ 1 phi1))
10.734 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 0) into 0
10.734 * [backup-simplify]: Simplify (+ (sin (/ 1 phi1)) 0) into (sin (/ 1 phi1))
10.734 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))
10.734 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1
10.734 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1
10.734 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
10.735 * [taylor]: Taking taylor expansion of phi2 in phi1
10.735 * [backup-simplify]: Simplify phi2 into phi2
10.735 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
10.735 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
10.735 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
10.735 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1
10.735 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
10.735 * [taylor]: Taking taylor expansion of phi1 in phi1
10.735 * [backup-simplify]: Simplify 0 into 0
10.735 * [backup-simplify]: Simplify 1 into 1
10.735 * [backup-simplify]: Simplify (/ 1 1) into 1
10.735 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
10.735 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 1) into (sin (/ 1 phi2))
10.735 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 0) into 0
10.735 * [backup-simplify]: Simplify (+ (sin (/ 1 phi2)) 0) into (sin (/ 1 phi2))
10.736 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))
10.736 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))
10.736 * [backup-simplify]: Simplify (+ 0) into 0
10.736 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 1)) into 0
10.737 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
10.737 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.738 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 0)) into 0
10.738 * [backup-simplify]: Simplify (+ 0 0) into 0
10.738 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0
10.738 * [taylor]: Taking taylor expansion of 0 in phi1
10.738 * [backup-simplify]: Simplify 0 into 0
10.738 * [backup-simplify]: Simplify 0 into 0
10.739 * [backup-simplify]: Simplify (+ 0) into 0
10.739 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 1)) into 0
10.739 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
10.739 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.740 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 0)) into 0
10.740 * [backup-simplify]: Simplify (+ 0 0) into 0
10.740 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0
10.740 * [backup-simplify]: Simplify 0 into 0
10.741 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.741 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0
10.741 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
10.741 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.742 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0
10.742 * [backup-simplify]: Simplify (+ 0 0) into 0
10.742 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0
10.742 * [taylor]: Taking taylor expansion of 0 in phi1
10.742 * [backup-simplify]: Simplify 0 into 0
10.742 * [backup-simplify]: Simplify 0 into 0
10.743 * [backup-simplify]: Simplify 0 into 0
10.743 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.743 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0
10.744 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
10.744 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.744 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0
10.745 * [backup-simplify]: Simplify (+ 0 0) into 0
10.745 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0
10.745 * [backup-simplify]: Simplify 0 into 0
10.745 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
10.746 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.746 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
10.747 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
10.747 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
10.748 * [backup-simplify]: Simplify (+ 0 0) into 0
10.748 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1)))))) into 0
10.748 * [taylor]: Taking taylor expansion of 0 in phi1
10.748 * [backup-simplify]: Simplify 0 into 0
10.748 * [backup-simplify]: Simplify 0 into 0
10.748 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) into (* (sin phi1) (sin phi2))
10.748 * [backup-simplify]: Simplify (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))
10.748 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi2 phi1) around 0
10.748 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1
10.748 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1
10.749 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1
10.749 * [taylor]: Taking taylor expansion of -1 in phi1
10.749 * [backup-simplify]: Simplify -1 into -1
10.749 * [taylor]: Taking taylor expansion of phi1 in phi1
10.749 * [backup-simplify]: Simplify 0 into 0
10.749 * [backup-simplify]: Simplify 1 into 1
10.749 * [backup-simplify]: Simplify (/ -1 1) into -1
10.749 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
10.749 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1
10.749 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1
10.749 * [taylor]: Taking taylor expansion of -1 in phi1
10.749 * [backup-simplify]: Simplify -1 into -1
10.749 * [taylor]: Taking taylor expansion of phi2 in phi1
10.749 * [backup-simplify]: Simplify phi2 into phi2
10.749 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2)
10.749 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
10.749 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
10.749 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2
10.749 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2
10.749 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2
10.749 * [taylor]: Taking taylor expansion of -1 in phi2
10.749 * [backup-simplify]: Simplify -1 into -1
10.749 * [taylor]: Taking taylor expansion of phi1 in phi2
10.749 * [backup-simplify]: Simplify phi1 into phi1
10.749 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1)
10.749 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
10.749 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
10.749 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2
10.749 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2
10.749 * [taylor]: Taking taylor expansion of -1 in phi2
10.749 * [backup-simplify]: Simplify -1 into -1
10.749 * [taylor]: Taking taylor expansion of phi2 in phi2
10.749 * [backup-simplify]: Simplify 0 into 0
10.749 * [backup-simplify]: Simplify 1 into 1
10.750 * [backup-simplify]: Simplify (/ -1 1) into -1
10.750 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
10.750 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2
10.750 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2
10.750 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2
10.750 * [taylor]: Taking taylor expansion of -1 in phi2
10.750 * [backup-simplify]: Simplify -1 into -1
10.750 * [taylor]: Taking taylor expansion of phi1 in phi2
10.750 * [backup-simplify]: Simplify phi1 into phi1
10.750 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1)
10.750 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
10.750 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
10.750 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2
10.750 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2
10.750 * [taylor]: Taking taylor expansion of -1 in phi2
10.750 * [backup-simplify]: Simplify -1 into -1
10.750 * [taylor]: Taking taylor expansion of phi2 in phi2
10.750 * [backup-simplify]: Simplify 0 into 0
10.750 * [backup-simplify]: Simplify 1 into 1
10.750 * [backup-simplify]: Simplify (/ -1 1) into -1
10.750 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
10.751 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 1) into (sin (/ -1 phi1))
10.751 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 0) into 0
10.751 * [backup-simplify]: Simplify (+ (sin (/ -1 phi1)) 0) into (sin (/ -1 phi1))
10.751 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))
10.751 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1
10.751 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1
10.751 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1
10.751 * [taylor]: Taking taylor expansion of -1 in phi1
10.751 * [backup-simplify]: Simplify -1 into -1
10.751 * [taylor]: Taking taylor expansion of phi1 in phi1
10.751 * [backup-simplify]: Simplify 0 into 0
10.751 * [backup-simplify]: Simplify 1 into 1
10.751 * [backup-simplify]: Simplify (/ -1 1) into -1
10.751 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
10.751 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1
10.751 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1
10.751 * [taylor]: Taking taylor expansion of -1 in phi1
10.751 * [backup-simplify]: Simplify -1 into -1
10.751 * [taylor]: Taking taylor expansion of phi2 in phi1
10.751 * [backup-simplify]: Simplify phi2 into phi2
10.751 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2)
10.751 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
10.751 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
10.752 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 1) into (sin (/ -1 phi2))
10.752 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 0) into 0
10.752 * [backup-simplify]: Simplify (+ (sin (/ -1 phi2)) 0) into (sin (/ -1 phi2))
10.752 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))
10.752 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))
10.752 * [backup-simplify]: Simplify (+ 0) into 0
10.752 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 1)) into 0
10.752 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0
10.753 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.753 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 0)) into 0
10.753 * [backup-simplify]: Simplify (+ 0 0) into 0
10.753 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0
10.754 * [taylor]: Taking taylor expansion of 0 in phi1
10.754 * [backup-simplify]: Simplify 0 into 0
10.754 * [backup-simplify]: Simplify 0 into 0
10.754 * [backup-simplify]: Simplify (+ 0) into 0
10.754 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 1)) into 0
10.754 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0
10.755 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.755 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 0)) into 0
10.755 * [backup-simplify]: Simplify (+ 0 0) into 0
10.755 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0
10.755 * [backup-simplify]: Simplify 0 into 0
10.756 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.756 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0
10.756 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
10.757 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.757 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0
10.757 * [backup-simplify]: Simplify (+ 0 0) into 0
10.758 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0
10.758 * [taylor]: Taking taylor expansion of 0 in phi1
10.758 * [backup-simplify]: Simplify 0 into 0
10.758 * [backup-simplify]: Simplify 0 into 0
10.758 * [backup-simplify]: Simplify 0 into 0
10.758 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.759 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0
10.759 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
10.760 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.760 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0
10.760 * [backup-simplify]: Simplify (+ 0 0) into 0
10.761 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0
10.761 * [backup-simplify]: Simplify 0 into 0
10.761 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
10.762 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.762 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
10.763 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
10.763 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
10.763 * [backup-simplify]: Simplify (+ 0 0) into 0
10.764 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2)))))) into 0
10.764 * [taylor]: Taking taylor expansion of 0 in phi1
10.764 * [backup-simplify]: Simplify 0 into 0
10.764 * [backup-simplify]: Simplify 0 into 0
10.764 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) into (* (sin phi1) (sin phi2))
10.764 * * * [progress]: simplifying candidates
10.764 * * * * [progress]: [ 1 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (/ (exp (/ PI 2)) (exp (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))) R))>
10.764 * * * * [progress]: [ 2 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (pow (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) 1) R))>
10.764 * * * * [progress]: [ 3 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (exp (log (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))) R))>
10.764 * * * * [progress]: [ 4 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))) R))>
10.765 * * * * [progress]: [ 5 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (* (cbrt (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (cbrt (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))) (cbrt (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))) R))>
10.765 * * * * [progress]: [ 6 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (cbrt (* (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))) R))>
10.765 * * * * [progress]: [ 7 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (sqrt (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))) R))>
10.765 * * * * [progress]: [ 8 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (- (pow (/ PI 2) 3) (pow (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) 3)) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (* (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))))) R))>
10.765 * * * * [progress]: [ 9 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (+ (/ PI 2) (- (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) R))>
10.765 * * * * [progress]: [ 10 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* 1 (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) R))>
10.765 * * * * [progress]: [ 11 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (- (* (/ PI 2) (/ PI 2)) (* (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (+ (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) R))>
10.765 * * * * [progress]: [ 12 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (- (sqrt (/ PI 2)) (sqrt (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))) R))>
10.765 * * * * [progress]: [ 13 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (+ (/ (sqrt PI) (sqrt 2)) (sqrt (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (- (/ (sqrt PI) (sqrt 2)) (sqrt (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))) R))>
10.765 * * * * [progress]: [ 14 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* 1 (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) R))>
10.765 * * * * [progress]: [ 15 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (+ (- (/ PI 2) (/ PI 2)) (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) R))>
10.765 * * * * [progress]: [ 16 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (+ (/ PI 2) (- (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) R))>
10.765 * * * * [progress]: [ 17 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (posit16->real (real->posit16 (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))) R))>
10.765 * * * * [progress]: [ 18 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (- (/ PI 2) (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) R))>
10.765 * * * * [progress]: [ 19 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (pow (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) 1)) R))>
10.765 * * * * [progress]: [ 20 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (exp (log (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))) R))>
10.765 * * * * [progress]: [ 21 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (log (exp (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))) R))>
10.765 * * * * [progress]: [ 22 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (* (* (cbrt (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (cbrt (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (cbrt (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))) R))>
10.765 * * * * [progress]: [ 23 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (cbrt (* (* (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))) R))>
10.766 * * * * [progress]: [ 24 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (* (sqrt (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (sqrt (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))) R))>
10.766 * * * * [progress]: [ 25 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (* 1 (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) R))>
10.766 * * * * [progress]: [ 26 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (posit16->real (real->posit16 (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))) R))>
10.766 * * * * [progress]: [ 27 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (pow (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) R) 1))>
10.766 * * * * [progress]: [ 28 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (pow (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) R) 1))>
10.766 * * * * [progress]: [ 29 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (exp (+ (log (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (log R))))>
10.766 * * * * [progress]: [ 30 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (exp (log (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) R))))>
10.766 * * * * [progress]: [ 31 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (log (exp (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) R))))>
10.766 * * * * [progress]: [ 32 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (* (* R R) R))))>
10.766 * * * * [progress]: [ 33 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) R)) (cbrt (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) R))) (cbrt (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) R))))>
10.766 * * * * [progress]: [ 34 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) R) (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) R)) (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) R))))>
10.766 * * * * [progress]: [ 35 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) R)) (sqrt (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) R))))>
10.766 * * * * [progress]: [ 36 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* 1 (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) R)))>
10.766 * * * * [progress]: [ 37 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (sqrt R)) (* (sqrt (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (sqrt R))))>
10.766 * * * * [progress]: [ 38 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (* (cbrt R) (cbrt R))) (cbrt R)))>
10.766 * * * * [progress]: [ 39 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (sqrt R)) (sqrt R)))>
10.766 * * * * [progress]: [ 40 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) 1) R))>
10.766 * * * * [progress]: [ 41 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (cbrt (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))) (* (cbrt (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) R)))>
10.766 * * * * [progress]: [ 42 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (* (sqrt (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) R)))>
10.766 * * * * [progress]: [ 43 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* 1 (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) R)))>
10.766 * * * * [progress]: [ 44 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (* (- (sqrt (/ PI 2)) (sqrt (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) R)))>
10.767 * * * * [progress]: [ 45 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (+ (/ (sqrt PI) (sqrt 2)) (sqrt (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (* (- (/ (sqrt PI) (sqrt 2)) (sqrt (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) R)))>
10.767 * * * * [progress]: [ 46 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* 1 (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) R)))>
10.767 * * * * [progress]: [ 47 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (/ (* (- (pow (/ PI 2) 3) (pow (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) 3)) R) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (* (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))))))>
10.767 * * * * [progress]: [ 48 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (/ (* (- (* (/ PI 2) (/ PI 2)) (* (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) R) (+ (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))))>
10.767 * * * * [progress]: [ 49 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (posit16->real (real->posit16 (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) R))))>
10.767 * * * * [progress]: [ 50 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))))>
10.767 * * * * [progress]: [ 51 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (/ (- (cos (- phi2 phi1)) (cos (+ phi2 phi1))) 2)))) R))>
10.767 * * * * [progress]: [ 52 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (pow (* (sin phi2) (sin phi1)) 1)))) R))>
10.767 * * * * [progress]: [ 53 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (pow (* (sin phi2) (sin phi1)) 1)))) R))>
10.767 * * * * [progress]: [ 54 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (exp (+ (log (sin phi2)) (log (sin phi1))))))) R))>
10.767 * * * * [progress]: [ 55 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (exp (log (* (sin phi2) (sin phi1))))))) R))>
10.767 * * * * [progress]: [ 56 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (log (exp (* (sin phi2) (sin phi1))))))) R))>
10.767 * * * * [progress]: [ 57 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cbrt (* (* (* (sin phi2) (sin phi2)) (sin phi2)) (* (* (sin phi1) (sin phi1)) (sin phi1))))))) R))>
10.767 * * * * [progress]: [ 58 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (* (cbrt (* (sin phi2) (sin phi1))) (cbrt (* (sin phi2) (sin phi1)))) (cbrt (* (sin phi2) (sin phi1))))))) R))>
10.767 * * * * [progress]: [ 59 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cbrt (* (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1))) (* (sin phi2) (sin phi1))))))) R))>
10.767 * * * * [progress]: [ 60 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sqrt (* (sin phi2) (sin phi1))) (sqrt (* (sin phi2) (sin phi1))))))) R))>
10.767 * * * * [progress]: [ 61 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* 1 (* (sin phi2) (sin phi1)))))) R))>
10.767 * * * * [progress]: [ 62 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (* (sqrt (sin phi2)) (sqrt (sin phi1))) (* (sqrt (sin phi2)) (sqrt (sin phi1))))))) R))>
10.767 * * * * [progress]: [ 63 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (* (sin phi2) (* (cbrt (sin phi1)) (cbrt (sin phi1)))) (cbrt (sin phi1)))))) R))>
10.768 * * * * [progress]: [ 64 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (* (sin phi2) (sqrt (sin phi1))) (sqrt (sin phi1)))))) R))>
10.768 * * * * [progress]: [ 65 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (* (sin phi2) 1) (sin phi1))))) R))>
10.768 * * * * [progress]: [ 66 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (* (cbrt (sin phi2)) (cbrt (sin phi2))) (* (cbrt (sin phi2)) (sin phi1)))))) R))>
10.768 * * * * [progress]: [ 67 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sqrt (sin phi2)) (* (sqrt (sin phi2)) (sin phi1)))))) R))>
10.768 * * * * [progress]: [ 68 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* 1 (* (sin phi2) (sin phi1)))))) R))>
10.768 * * * * [progress]: [ 69 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (posit16->real (real->posit16 (* (sin phi2) (sin phi1))))))) R))>
10.768 * * * * [progress]: [ 70 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R))>
10.768 * * * * [progress]: [ 71 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) R))>
10.768 * * * * [progress]: [ 72 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) R))>
10.768 * * * * [progress]: [ 73 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) R))>
10.768 * * * * [progress]: [ 74 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) R))>
10.768 * * * * [progress]: [ 75 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) R))>
10.768 * * * * [progress]: [ 76 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) R))>
10.768 * * * * [progress]: [ 77 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) R))>
10.768 * * * * [progress]: [ 78 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))))))>
10.768 * * * * [progress]: [ 79 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) R))>
10.768 * * * * [progress]: [ 80 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* phi1 phi2)))) R))>
10.768 * * * * [progress]: [ 81 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R))>
10.768 * * * * [progress]: [ 82 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R))>
10.769 * [simplify]: Simplifying (/ (exp (/ PI 2)) (exp (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))), (log (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))), (exp (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))), (* (cbrt (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (cbrt (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))), (cbrt (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))), (* (* (- (/ PI 2) (asin 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phi2) (sin phi1))))) R), (* (- (pow (/ PI 2) 3) (pow (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) 3)) R), (* (- (* (/ PI 2) (/ PI 2)) (* (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) R), (real->posit16 (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) R)), (- (cos (- phi2 phi1)) (cos (+ phi2 phi1))), (* (sin phi2) (sin phi1)), (+ (log (sin phi2)) (log (sin phi1))), (log (* (sin phi2) (sin phi1))), (exp (* (sin phi2) (sin phi1))), (* (* (* (sin phi2) (sin phi2)) (sin phi2)) (* (* (sin phi1) (sin phi1)) (sin phi1))), (* (cbrt (* (sin phi2) (sin phi1))) (cbrt (* (sin phi2) (sin 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phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))), (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))), (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))), (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))), (* (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) R), (* R (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))))), (* (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) R), (* phi1 phi2), (* (sin phi1) (sin phi2)), (* (sin phi1) (sin phi2))
10.771 * * [simplify]: iteration 1: (145 enodes)
10.840 * * [simplify]: iteration 2: (563 enodes)
10.993 * * [simplify]: Extracting #0: cost 64 inf + 0
10.994 * * [simplify]: Extracting #1: cost 265 inf + 1
10.995 * * [simplify]: Extracting #2: cost 344 inf + 2143
10.998 * * [simplify]: Extracting #3: cost 314 inf + 14757
11.002 * * [simplify]: Extracting #4: cost 274 inf + 23734
11.012 * * [simplify]: Extracting #5: cost 234 inf + 30285
11.027 * * [simplify]: Extracting #6: cost 203 inf + 40575
11.048 * * [simplify]: Extracting #7: cost 139 inf + 107078
11.099 * * [simplify]: Extracting #8: cost 17 inf + 239451
11.154 * * [simplify]: Extracting #9: cost 0 inf + 249935
11.230 * * [simplify]: Extracting #10: cost 0 inf + 246287
11.300 * * [simplify]: Extracting #11: cost 0 inf + 246207
11.378 * [simplify]: Simplified to (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2)))))), (log (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2)))))), (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2)))))), (* (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2)))))) (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))))), (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2)))))), (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))) (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))))), (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2)))))), (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2)))))), (- (* (* (/ PI 2) (/ PI 2)) (/ PI 2)) (* (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2)))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2)))))), (+ (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2)))) (+ (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2)))) (/ PI 2))) (* (/ PI 2) (/ PI 2))), (- (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))), (- (* (/ PI 2) (/ PI 2)) (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2)))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2)))))), (+ (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2)))) (/ PI 2)), (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2)))))), (- (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2)))))), (+ (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))) (/ (sqrt PI) (sqrt 2))), (- (/ (sqrt PI) (sqrt 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2)))))), (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))), 0, (- (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))), (real->posit16 (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2)))))), (/ PI 2), (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2)))), (log (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))), (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))), (* (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))) (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2)))))), (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))), (* (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2)))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))), (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))), (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))), (real->posit16 (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))), (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))) R), (log (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))) R)), (log (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))) R)), (exp (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))) R)), (* (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))) (* R (* R R))) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))) (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))))), (* (cbrt (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))) R)) (cbrt (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))) R))), (cbrt (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))) R)), (* (* (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))) R) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))) R)) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))) R)), (sqrt (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))) R)), (sqrt (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))) R)), (* (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2)))))) (sqrt R)), (* (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2)))))) (sqrt R)), (* (cbrt R) (* (cbrt R) (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))))), (* (sqrt R) (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2)))))), (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))), (* (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2)))))) R), (* R (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))))), (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))) R), (* (- (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2)))))) R), (* R (- (/ (sqrt PI) (sqrt 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))))), (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))) R), (* R (- (* (* (/ PI 2) (/ PI 2)) (/ PI 2)) (* (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2)))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))))), (* (- (* (/ PI 2) (/ PI 2)) (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2)))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2)))))) R), (real->posit16 (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))) R)), (- (cos (- phi2 phi1)) (cos (+ phi1 phi2))), (* (sin phi1) (sin phi2)), (log (* (sin phi1) (sin phi2))), (log (* (sin phi1) (sin phi2))), (exp (* (sin phi1) (sin phi2))), (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (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))), (* (cbrt (sin phi1)) (* (sin phi2) (cbrt (sin phi1)))), (* (sqrt (sin phi1)) (sin phi2)), (sin phi2), (* (sin phi1) (cbrt (sin phi2))), (* (sqrt (sin phi2)) (sin phi1)), (* (sin phi1) (sin phi2)), (real->posit16 (* (sin phi1) (sin phi2))), (- (* PI 1/2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))), (- (* PI 1/2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))), (- (* PI 1/2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))), (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2)))), (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2)))), (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2)))), (* R (- (* PI 1/2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2)))))), (* R (- (* PI 1/2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2)))))), (* R (- (* PI 1/2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2)))))), (* phi1 phi2), (* (sin phi1) (sin phi2)), (* (sin phi1) (sin phi2))
11.378 * * * * [progress]: [ 1 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (/ (exp (/ PI 2)) (exp (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))) R))>
11.378 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))))) R))
11.379 * * * * [progress]: [ 2 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (pow (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) 1) R))>
11.379 * * * * [progress]: [ 3 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (exp (log (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))) R))>
11.379 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (exp (log (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))))) R))
11.379 * * * * [progress]: [ 4 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))) R))>
11.379 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))))) R))
11.379 * * * * [progress]: [ 5 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (* (cbrt (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (cbrt (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))) (cbrt (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))) R))>
11.379 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (* (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2)))))) (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))))) (cbrt (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))) R))
11.380 * [simplify]: Simplified (2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (* (cbrt (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (cbrt (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))) (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))))) R))
11.380 * * * * [progress]: [ 6 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (cbrt (* (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))) R))>
11.380 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (cbrt (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))) (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2)))))))) R))
11.380 * * * * [progress]: [ 7 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (sqrt (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))) R))>
11.380 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2)))))) (sqrt (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))) R))
11.381 * [simplify]: Simplified (2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))))) R))
11.381 * * * * [progress]: [ 8 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (- (pow (/ PI 2) 3) (pow (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) 3)) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (* (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))))) R))>
11.381 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (- (* (* (/ PI 2) (/ PI 2)) (/ PI 2)) (* (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2)))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2)))))) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (* (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))))) R))
11.382 * [simplify]: Simplified (2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (- (pow (/ PI 2) 3) (pow (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) 3)) (+ (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2)))) (+ (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2)))) (/ PI 2))) (* (/ PI 2) (/ PI 2)))) R))
11.382 * * * * [progress]: [ 9 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (+ (/ PI 2) (- (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) R))>
11.382 * [simplify]: Simplified (2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (+ (/ PI 2) (- (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2)))))) R))
11.382 * * * * [progress]: [ 10 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* 1 (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) R))>
11.382 * * * * [progress]: [ 11 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (- (* (/ PI 2) (/ PI 2)) (* (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (+ (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) R))>
11.382 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (- (* (/ PI 2) (/ PI 2)) (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2)))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2)))))) (+ (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) R))
11.383 * [simplify]: Simplified (2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (/ (- (* (/ PI 2) (/ PI 2)) (* (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (+ (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2)))) (/ PI 2))) R))
11.383 * * * * [progress]: [ 12 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (- (sqrt (/ PI 2)) (sqrt (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))) R))>
11.383 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2)))))) (- (sqrt (/ PI 2)) (sqrt (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))) R))
11.383 * [simplify]: Simplified (2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (- (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))))) R))
11.384 * * * * [progress]: [ 13 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (+ (/ (sqrt PI) (sqrt 2)) (sqrt (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (- (/ (sqrt PI) (sqrt 2)) (sqrt (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))) R))>
11.384 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (+ (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))) (/ (sqrt PI) (sqrt 2))) (- (/ (sqrt PI) (sqrt 2)) (sqrt (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))) R))
11.384 * [simplify]: Simplified (2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (+ (/ (sqrt PI) (sqrt 2)) (sqrt (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (- (/ (sqrt PI) (sqrt 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))))) R))
11.384 * * * * [progress]: [ 14 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* 1 (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) R))>
11.384 * [simplify]: Simplified (2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* 1 (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2)))))) R))
11.385 * * * * [progress]: [ 15 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (+ (- (/ PI 2) (/ PI 2)) (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) R))>
11.385 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (+ 0 (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) R))
11.385 * * * * [progress]: [ 16 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (+ (/ PI 2) (- (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) R))>
11.385 * [simplify]: Simplified (2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (+ (/ PI 2) (- (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2)))))) R))
11.385 * * * * [progress]: [ 17 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (posit16->real (real->posit16 (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))) R))>
11.385 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (posit16->real (real->posit16 (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))))) R))
11.386 * * * * [progress]: [ 18 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (- (/ PI 2) (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) R))>
11.386 * [simplify]: Simplified (2 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (- (/ PI 2) (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) R))
11.386 * [simplify]: Simplified (2 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (- (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2)))))) R))
11.386 * * * * [progress]: [ 19 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (pow (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) 1)) R))>
11.386 * * * * [progress]: [ 20 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (exp (log (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))) R))>
11.386 * [simplify]: Simplified (2 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (exp (log (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))))) R))
11.386 * * * * [progress]: [ 21 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (log (exp (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))) R))>
11.386 * [simplify]: Simplified (2 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (log (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))))) R))
11.387 * * * * [progress]: [ 22 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (* (* (cbrt (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (cbrt (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (cbrt (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))) R))>
11.387 * [simplify]: Simplified (2 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (* (* (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))) (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2)))))) (cbrt (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))) R))
11.387 * [simplify]: Simplified (2 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (* (* (cbrt (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (cbrt (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))))) R))
11.387 * * * * [progress]: [ 23 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (cbrt (* (* (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))) R))>
11.388 * [simplify]: Simplified (2 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (cbrt (* (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2)))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))))) R))
11.388 * * * * [progress]: [ 24 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (* (sqrt (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (sqrt (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))) R))>
11.388 * [simplify]: Simplified (2 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (* (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))) (sqrt (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))) R))
11.388 * [simplify]: Simplified (2 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (* (sqrt (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))))) R))
11.388 * * * * [progress]: [ 25 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (* 1 (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) R))>
11.389 * * * * [progress]: [ 26 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (posit16->real (real->posit16 (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))) R))>
11.389 * [simplify]: Simplified (2 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (posit16->real (real->posit16 (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))))) R))
11.389 * * * * [progress]: [ 27 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (pow (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) R) 1))>
11.389 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (pow (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))) R) 1))
11.389 * * * * [progress]: [ 28 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (pow (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) R) 1))>
11.389 * * * * [progress]: [ 29 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (exp (+ (log (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (log R))))>
11.389 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (exp (log (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))) R))))
11.390 * * * * [progress]: [ 30 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (exp (log (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) R))))>
11.390 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (exp (log (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))) R))))
11.390 * * * * [progress]: [ 31 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (log (exp (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) R))))>
11.390 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (log (exp (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))) R))))
11.390 * * * * [progress]: [ 32 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (* (* R R) R))))>
11.390 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))) (* R (* R R))) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))) (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2)))))))))
11.391 * * * * [progress]: [ 33 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) R)) (cbrt (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) R))) (cbrt (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) R))))>
11.391 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))) R)) (cbrt (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))) R))) (cbrt (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) R))))
11.391 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) R)) (cbrt (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) R))) (cbrt (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))) R))))
11.391 * * * * [progress]: [ 34 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) R) (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) R)) (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) R))))>
11.391 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))) R) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))) R)) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))) R))))
11.392 * * * * [progress]: [ 35 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) R)) (sqrt (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) R))))>
11.392 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))) R)) (sqrt (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) R))))
11.392 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) R)) (sqrt (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))) R))))
11.392 * * * * [progress]: [ 36 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* 1 (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) R)))>
11.392 * * * * [progress]: [ 37 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (sqrt R)) (* (sqrt (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (sqrt R))))>
11.393 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2)))))) (sqrt R)) (* (sqrt (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (sqrt R))))
11.393 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (sqrt R)) (* (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2)))))) (sqrt R))))
11.393 * * * * [progress]: [ 38 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (* (cbrt R) (cbrt R))) (cbrt R)))>
11.394 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt R) (* (cbrt R) (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))))) (cbrt R)))
11.394 * * * * [progress]: [ 39 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (sqrt R)) (sqrt R)))>
11.394 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt R) (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2)))))) (sqrt R)))
11.394 * * * * [progress]: [ 40 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) 1) R))>
11.394 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))) R))
11.394 * * * * [progress]: [ 41 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (cbrt (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))) (* (cbrt (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) R)))>
11.395 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (cbrt (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))) (* (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2)))))) R)))
11.395 * * * * [progress]: [ 42 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (* (sqrt (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) R)))>
11.395 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (* R (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2)))))))))
11.395 * * * * [progress]: [ 43 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* 1 (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) R)))>
11.395 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* 1 (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))) R)))
11.395 * * * * [progress]: [ 44 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (* (- (sqrt (/ PI 2)) (sqrt (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) R)))>
11.396 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (* (- (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2)))))) R)))
11.396 * * * * [progress]: [ 45 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (+ (/ (sqrt PI) (sqrt 2)) (sqrt (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (* (- (/ (sqrt PI) (sqrt 2)) (sqrt (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) R)))>
11.396 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (+ (/ (sqrt PI) (sqrt 2)) (sqrt (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (* R (- (/ (sqrt PI) (sqrt 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2)))))))))
11.396 * * * * [progress]: [ 46 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* 1 (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) R)))>
11.396 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* 1 (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))) R)))
11.397 * * * * [progress]: [ 47 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (/ (* (- (pow (/ PI 2) 3) (pow (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) 3)) R) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (* (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))))))>
11.397 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (/ (* R (- (* (* (/ PI 2) (/ PI 2)) (/ PI 2)) (* (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2)))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))))) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (* (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))))))
11.397 * * * * [progress]: [ 48 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (/ (* (- (* (/ PI 2) (/ PI 2)) (* (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) R) (+ (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))))>
11.397 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (/ (* (- (* (/ PI 2) (/ PI 2)) (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2)))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2)))))) R) (+ (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))))
11.398 * * * * [progress]: [ 49 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (posit16->real (real->posit16 (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) R))))>
11.398 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (posit16->real (real->posit16 (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))) R))))
11.398 * * * * [progress]: [ 50 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))))>
11.398 * * * * [progress]: [ 51 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (/ (- (cos (- phi2 phi1)) (cos (+ phi2 phi1))) 2)))) R))>
11.398 * [simplify]: Simplified (2 1 2 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (/ (- (cos (- phi2 phi1)) (cos (+ phi1 phi2))) 2)))) R))
11.398 * * * * [progress]: [ 52 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (pow (* (sin phi2) (sin phi1)) 1)))) R))>
11.398 * [simplify]: Simplified (2 1 2 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (pow (* (sin phi1) (sin phi2)) 1)))) R))
11.399 * * * * [progress]: [ 53 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (pow (* (sin phi2) (sin phi1)) 1)))) R))>
11.399 * * * * [progress]: [ 54 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (exp (+ (log (sin phi2)) (log (sin phi1))))))) R))>
11.400 * [simplify]: Simplified (2 1 2 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (exp (log (* (sin phi1) (sin phi2))))))) R))
11.400 * * * * [progress]: [ 55 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (exp (log (* (sin phi2) (sin phi1))))))) R))>
11.400 * [simplify]: Simplified (2 1 2 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (exp (log (* (sin phi1) (sin phi2))))))) R))
11.400 * * * * [progress]: [ 56 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (log (exp (* (sin phi2) (sin phi1))))))) R))>
11.400 * [simplify]: Simplified (2 1 2 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (log (exp (* (sin phi1) (sin phi2))))))) R))
11.400 * * * * [progress]: [ 57 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cbrt (* (* (* (sin phi2) (sin phi2)) (sin phi2)) (* (* (sin phi1) (sin phi1)) (sin phi1))))))) R))>
11.400 * [simplify]: Simplified (2 1 2 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))))))) R))
11.401 * * * * [progress]: [ 58 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (* (cbrt (* (sin phi2) (sin phi1))) (cbrt (* (sin phi2) (sin phi1)))) (cbrt (* (sin phi2) (sin phi1))))))) R))>
11.401 * [simplify]: Simplified (2 1 2 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi2) (sin phi1))))))) R))
11.401 * [simplify]: Simplified (2 1 2 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (* (cbrt (* (sin phi2) (sin phi1))) (cbrt (* (sin phi2) (sin phi1)))) (cbrt (* (sin phi1) (sin phi2))))))) R))
11.401 * * * * [progress]: [ 59 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cbrt (* (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1))) (* (sin phi2) (sin phi1))))))) R))>
11.401 * [simplify]: Simplified (2 1 2 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cbrt (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))))))) R))
11.402 * * * * [progress]: [ 60 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sqrt (* (sin phi2) (sin phi1))) (sqrt (* (sin phi2) (sin phi1))))))) R))>
11.402 * [simplify]: Simplified (2 1 2 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi2) (sin phi1))))))) R))
11.402 * [simplify]: Simplified (2 1 2 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sqrt (* (sin phi2) (sin phi1))) (sqrt (* (sin phi1) (sin phi2))))))) R))
11.402 * * * * [progress]: [ 61 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* 1 (* (sin phi2) (sin phi1)))))) R))>
11.402 * * * * [progress]: [ 62 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (* (sqrt (sin phi2)) (sqrt (sin phi1))) (* (sqrt (sin phi2)) (sqrt (sin phi1))))))) R))>
11.402 * [simplify]: Simplified (2 1 2 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi2)) (sqrt (sin phi1))))))) R))
11.402 * [simplify]: Simplified (2 1 2 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (* (sqrt (sin phi2)) (sqrt (sin phi1))) (* (sqrt (sin phi1)) (sqrt (sin phi2))))))) R))
11.403 * * * * [progress]: [ 63 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (* (sin phi2) (* (cbrt (sin phi1)) (cbrt (sin phi1)))) (cbrt (sin phi1)))))) R))>
11.403 * [simplify]: Simplified (2 1 2 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (* (cbrt (sin phi1)) (* (sin phi2) (cbrt (sin phi1)))) (cbrt (sin phi1)))))) R))
11.403 * * * * [progress]: [ 64 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (* (sin phi2) (sqrt (sin phi1))) (sqrt (sin phi1)))))) R))>
11.403 * [simplify]: Simplified (2 1 2 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (* (sqrt (sin phi1)) (sin phi2)) (sqrt (sin phi1)))))) R))
11.403 * * * * [progress]: [ 65 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (* (sin phi2) 1) (sin phi1))))) R))>
11.403 * [simplify]: Simplified (2 1 2 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) R))
11.404 * * * * [progress]: [ 66 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (* (cbrt (sin phi2)) (cbrt (sin phi2))) (* (cbrt (sin phi2)) (sin phi1)))))) R))>
11.404 * [simplify]: Simplified (2 1 2 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (* (cbrt (sin phi2)) (cbrt (sin phi2))) (* (sin phi1) (cbrt (sin phi2))))))) R))
11.404 * * * * [progress]: [ 67 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sqrt (sin phi2)) (* (sqrt (sin phi2)) (sin phi1)))))) R))>
11.404 * [simplify]: Simplified (2 1 2 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sqrt (sin phi2)) (* (sqrt (sin phi2)) (sin phi1)))))) R))
11.404 * * * * [progress]: [ 68 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* 1 (* (sin phi2) (sin phi1)))))) R))>
11.404 * [simplify]: Simplified (2 1 2 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* 1 (* (sin phi1) (sin phi2)))))) R))
11.404 * * * * [progress]: [ 69 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (posit16->real (real->posit16 (* (sin phi2) (sin phi1))))))) R))>
11.405 * [simplify]: Simplified (2 1 2 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (posit16->real (real->posit16 (* (sin phi1) (sin phi2))))))) R))
11.405 * * * * [progress]: [ 70 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R))>
11.405 * * * * [progress]: [ 71 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) R))>
11.405 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (* PI 1/2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))) R))
11.405 * * * * [progress]: [ 72 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) R))>
11.405 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (* PI 1/2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))) R))
11.405 * * * * [progress]: [ 73 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) R))>
11.406 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (* PI 1/2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))) R))
11.406 * * * * [progress]: [ 74 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) R))>
11.406 * [simplify]: Simplified (2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))) R))
11.406 * * * * [progress]: [ 75 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) R))>
11.406 * [simplify]: Simplified (2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))) R))
11.406 * * * * [progress]: [ 76 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) R))>
11.406 * [simplify]: Simplified (2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2))))) R))
11.407 * * * * [progress]: [ 77 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) R))>
11.407 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (- (* PI 1/2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2)))))))
11.408 * * * * [progress]: [ 78 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))))))>
11.408 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (- (* PI 1/2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2)))))))
11.408 * * * * [progress]: [ 79 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (* 1/2 PI) (asin (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) R))>
11.408 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (- (* PI 1/2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1)) (cos phi2)))))))
11.408 * * * * [progress]: [ 80 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* phi1 phi2)))) R))>
11.408 * [simplify]: Simplified (2 1 2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* phi1 phi2)))) R))
11.409 * * * * [progress]: [ 81 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R))>
11.409 * [simplify]: Simplified (2 1 2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R))
11.409 * * * * [progress]: [ 82 / 82 ] simplifiying candidate #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R))>
11.409 * [simplify]: Simplified (2 1 2 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R))
11.409 * * * [progress]: adding candidates to table
13.219 * [progress]: [Phase 3 of 3] Extracting.
13.219 * * [regime]: Finding splitpoints for: (#<alt (λ (R lambda1 lambda2 phi1 phi2) (* (+ (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)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (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))))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (+ (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)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (- (* (/ PI 2) (/ PI 2)) (* (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (+ (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (* (* (cbrt (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (cbrt (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (cbrt (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (cbrt (* (* (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (* (cbrt R) (cbrt R))) (cbrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) (sqrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R) (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R)) (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (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))))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (/ (sqrt (exp PI)) (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (cbrt (exp (* 3 (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (exp (log (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (/ (* (- (pow (/ PI 2) 3) (pow (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) 3)) R) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (* (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (* (sqrt (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (sqrt (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))) R))>)
13.234 * * * [regime-changes]: Trying 5 branch expressions: (R lambda2 lambda1 phi2 phi1)
13.234 * * * * [regimes]: Trying to branch on R from (#<alt (λ (R lambda1 lambda2 phi1 phi2) (* (+ (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)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (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))))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (+ (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)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (- (* (/ PI 2) (/ PI 2)) (* (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (+ (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (* (* (cbrt (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (cbrt (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (cbrt (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (cbrt (* (* (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (* (cbrt R) (cbrt R))) (cbrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) (sqrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R) (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R)) (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (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))))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (/ (sqrt (exp PI)) (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (cbrt (exp (* 3 (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (exp (log (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (/ (* (- (pow (/ PI 2) 3) (pow (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) 3)) R) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (* (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (* (sqrt (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (sqrt (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))) R))>)
13.417 * * * * [regimes]: Trying to branch on lambda2 from (#<alt (λ (R lambda1 lambda2 phi1 phi2) (* (+ (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)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (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))))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (+ (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)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (- (* (/ PI 2) (/ PI 2)) (* (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (+ (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (* (* (cbrt (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (cbrt (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (cbrt (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (cbrt (* (* (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (* (cbrt R) (cbrt R))) (cbrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) (sqrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R) (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R)) (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (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))))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (/ (sqrt (exp PI)) (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (cbrt (exp (* 3 (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (exp (log (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (/ (* (- (pow (/ PI 2) 3) (pow (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) 3)) R) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (* (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (* (sqrt (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (sqrt (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))) R))>)
13.624 * * * * [regimes]: Trying to branch on lambda1 from (#<alt (λ (R lambda1 lambda2 phi1 phi2) (* (+ (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)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (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))))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (+ (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)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (- (* (/ PI 2) (/ PI 2)) (* (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (+ (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (* (* (cbrt (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (cbrt (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (cbrt (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (cbrt (* (* (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (* (cbrt R) (cbrt R))) (cbrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) (sqrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R) (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R)) (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (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))))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (/ (sqrt (exp PI)) (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (cbrt (exp (* 3 (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (exp (log (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (/ (* (- (pow (/ PI 2) 3) (pow (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) 3)) R) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (* (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (* (sqrt (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (sqrt (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))) R))>)
13.814 * * * * [regimes]: Trying to branch on phi2 from (#<alt (λ (R lambda1 lambda2 phi1 phi2) (* (+ (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)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (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))))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (+ (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)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (- (* (/ PI 2) (/ PI 2)) (* (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (+ (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (* (* (cbrt (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (cbrt (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (cbrt (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (cbrt (* (* (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (* (cbrt R) (cbrt R))) (cbrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) (sqrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R) (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R)) (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (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))))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (/ (sqrt (exp PI)) (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (cbrt (exp (* 3 (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (exp (log (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (/ (* (- (pow (/ PI 2) 3) (pow (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) 3)) R) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (* (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (* (sqrt (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (sqrt (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))) R))>)
14.030 * * * * [regimes]: Trying to branch on phi1 from (#<alt (λ (R lambda1 lambda2 phi1 phi2) (* (+ (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)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (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))))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (+ (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)))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (- (* (/ PI 2) (/ PI 2)) (* (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (+ (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (* (* (cbrt (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (cbrt (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))) (cbrt (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (cbrt (* (* (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (- (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (* (cbrt R) (cbrt R))) (cbrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) (sqrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R) (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R)) (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (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))))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (/ (sqrt (exp PI)) (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (cbrt (exp (* 3 (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (exp (log (* R (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (/ (* (- (pow (/ PI 2) 3) (pow (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) 3)) R) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (* (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1)))))))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (* (sqrt (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))) (sqrt (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))) R))>)
14.217 * * * [regime]: Found split indices: #<option (#s(si 10 255))>
14.218 * [simplify]: Simplifying (* (log (/ (sqrt (exp PI)) (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R)
14.218 * * [simplify]: iteration 1: (28 enodes)
14.219 * * [simplify]: iteration 2: (36 enodes)
14.220 * * [simplify]: Extracting #0: cost 1 inf + 0
14.221 * * [simplify]: Extracting #1: cost 3 inf + 0
14.221 * * [simplify]: Extracting #2: cost 3 inf + 1
14.221 * * [simplify]: Extracting #3: cost 5 inf + 1
14.221 * * [simplify]: Extracting #4: cost 7 inf + 1
14.221 * * [simplify]: Extracting #5: cost 9 inf + 1
14.221 * * [simplify]: Extracting #6: cost 10 inf + 2
14.221 * * [simplify]: Extracting #7: cost 12 inf + 184
14.221 * * [simplify]: Extracting #8: cost 18 inf + 184
14.221 * * [simplify]: Extracting #9: cost 19 inf + 247
14.221 * * [simplify]: Extracting #10: cost 18 inf + 430
14.221 * * [simplify]: Extracting #11: cost 12 inf + 878
14.221 * * [simplify]: Extracting #12: cost 9 inf + 1162
14.221 * * [simplify]: Extracting #13: cost 8 inf + 1324
14.222 * * [simplify]: Extracting #14: cost 6 inf + 2250
14.222 * * [simplify]: Extracting #15: cost 5 inf + 3014
14.222 * * [simplify]: Extracting #16: cost 4 inf + 3883
14.223 * * [simplify]: Extracting #17: cost 2 inf + 5912
14.223 * * [simplify]: Extracting #18: cost 1 inf + 7072
14.224 * * [simplify]: Extracting #19: cost 0 inf + 8273
14.225 * [simplify]: Simplified to (* (log (/ (sqrt (exp PI)) (exp (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (sin phi2) (sin phi1))))))) R)
40.378 * [regime-testing]: Baseline error score: 4.0434739845682115
40.380 * [regime-testing]: Oracle error score: 3.408976654011091
40.385 * [regime-testing]: End program error score: 4.0434739845682115