49.129 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.264 * * * [progress]: [2/2] Setting up program. 0.271 * [progress]: [Phase 2 of 3] Improving. 0.272 * [simplify]: Simplifying using # : (atan2 (* (sin (- lambda1 lambda2)) (cos phi2)) (- (* (cos phi1) (sin phi2)) (* (* (sin phi1) (cos phi2)) (cos (- lambda1 lambda2))))) 0.274 * * [simplify]: iteration 0 : 27 enodes (cost 15 ) 0.275 * * [simplify]: iteration 1 : 46 enodes (cost 15 ) 0.277 * * [simplify]: iteration 2 : 71 enodes (cost 15 ) 0.278 * * [simplify]: iteration 3 : 77 enodes (cost 15 ) 0.280 * * [simplify]: iteration 4 : 77 enodes (cost 15 ) 0.280 * [simplify]: Simplified to: (atan2 (* (sin (- lambda1 lambda2)) (cos phi2)) (- (* (cos phi1) (sin phi2)) (* (* (sin phi1) (cos phi2)) (cos (- lambda1 lambda2))))) 0.280 * * [progress]: iteration 1 / 4 0.280 * * * [progress]: picking best candidate 0.287 * * * * [pick]: Picked # 0.287 * * * [progress]: localizing error 0.314 * * * [progress]: generating rewritten candidates 0.314 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 0.318 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2) 0.322 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 0.333 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.339 * * * [progress]: generating series expansions 0.339 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 0.339 * [approximate]: Approximating (sin (- lambda1 lambda2)) in (lambda1 lambda2) around 0 0.340 * [taylor]: Taking taylor expansion of (sin (- lambda1 lambda2)) in lambda2 0.343 * [taylor]: Taking taylor expansion of (sin (- lambda1 lambda2)) in lambda2 0.348 * [taylor]: Taking taylor expansion of (sin (- lambda1 lambda2)) in lambda2 0.354 * [taylor]: Taking taylor expansion of (sin (- lambda1 lambda2)) in lambda2 0.356 * [approximate]: Approximating (sin (- (/ 1 lambda1) (/ 1 lambda2))) in (lambda1 lambda2) around 0 0.359 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.360 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.360 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.360 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.360 * [approximate]: Approximating (sin (- (/ 1 lambda2) (/ 1 lambda1))) in (lambda1 lambda2) around 0 0.363 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.364 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.364 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.364 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.364 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2) 0.364 * [approximate]: Approximating (cos (- lambda1 lambda2)) in (lambda1 lambda2) around 0 0.366 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2 0.368 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2 0.373 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2 0.376 * [approximate]: Approximating (cos (- (/ 1 lambda1) (/ 1 lambda2))) in (lambda1 lambda2) around 0 0.379 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.380 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.380 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.380 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.380 * [approximate]: Approximating (cos (- (/ 1 lambda2) (/ 1 lambda1))) in (lambda1 lambda2) around 0 0.383 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.384 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.384 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.384 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.384 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 0.384 * [approximate]: Approximating (* (sin phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in (phi1 phi2 lambda1 lambda2) around 0 0.386 * [taylor]: Taking taylor expansion of (* (sin phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in phi2 0.386 * [taylor]: Taking taylor expansion of (* (sin phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in lambda1 0.386 * [taylor]: Taking taylor expansion of (* (sin phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in lambda2 0.392 * [taylor]: Taking taylor expansion of (* (sin phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in phi2 0.393 * [taylor]: Taking taylor expansion of (* (sin phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in lambda1 0.394 * [taylor]: Taking taylor expansion of (* (sin phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in lambda2 0.394 * [taylor]: Taking taylor expansion of (* (sin phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in lambda1 0.395 * [taylor]: Taking taylor expansion of (* (sin phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in lambda2 0.395 * [taylor]: Taking taylor expansion of (* (sin phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in lambda2 0.402 * [taylor]: Taking taylor expansion of (* (sin phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in phi2 0.402 * [taylor]: Taking taylor expansion of (* (sin phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in lambda1 0.402 * [taylor]: Taking taylor expansion of (* (sin phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in lambda2 0.406 * [taylor]: Taking taylor expansion of (* (sin phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in lambda1 0.406 * [taylor]: Taking taylor expansion of (* (sin phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in lambda2 0.406 * [taylor]: Taking taylor expansion of (* (sin phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in lambda1 0.406 * [taylor]: Taking taylor expansion of (* (sin phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in lambda2 0.407 * [approximate]: Approximating (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (sin (/ 1 phi1)))) in (phi1 phi2 lambda1 lambda2) around 0 0.416 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (sin (/ 1 phi1)))) in phi2 0.417 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (sin (/ 1 phi1)))) in lambda1 0.419 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (sin (/ 1 phi1)))) in lambda2 0.427 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (sin (/ 1 phi1)))) in phi2 0.427 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (sin (/ 1 phi1)))) in lambda1 0.427 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (sin (/ 1 phi1)))) in lambda2 0.432 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (sin (/ 1 phi1)))) in lambda1 0.432 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (sin (/ 1 phi1)))) in lambda2 0.437 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (sin (/ 1 phi1)))) in lambda2 0.449 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (sin (/ 1 phi1)))) in phi2 0.449 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (sin (/ 1 phi1)))) in lambda1 0.449 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (sin (/ 1 phi1)))) in lambda2 0.449 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (sin (/ 1 phi1)))) in lambda1 0.449 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (sin (/ 1 phi1)))) in lambda2 0.449 * [approximate]: Approximating (* (sin (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in (phi1 phi2 lambda1 lambda2) around 0 0.455 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in phi2 0.456 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda1 0.458 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda2 0.466 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in phi2 0.466 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda1 0.466 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda2 0.471 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda1 0.471 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda2 0.476 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda2 0.488 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in phi2 0.488 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda1 0.488 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda2 0.488 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda1 0.488 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda2 0.488 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 0.488 * [approximate]: Approximating (* (cos phi1) (sin phi2)) in (phi1 phi2) around 0 0.488 * [taylor]: Taking taylor expansion of (* (cos phi1) (sin phi2)) in phi2 0.494 * [taylor]: Taking taylor expansion of (* (cos phi1) (sin phi2)) in phi2 0.499 * [taylor]: Taking taylor expansion of (* (cos phi1) (sin phi2)) in phi2 0.505 * [taylor]: Taking taylor expansion of (* (cos phi1) (sin phi2)) in phi2 0.508 * [approximate]: Approximating (* (cos (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 0.509 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.512 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.518 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.525 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.525 * [approximate]: Approximating (* (cos (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 0.527 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.530 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.535 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.542 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.542 * * * [progress]: simplifying candidates 0.543 * [simplify]: Simplifying using # : (* (sin lambda1) (cos (neg lambda2))) (* (cos lambda1) (sin (neg lambda2))) (* (sin lambda1) (cos (neg lambda2))) (* (cos lambda1) (sin (neg lambda2))) (* (sin lambda1) (cos lambda2)) (* (cos lambda1) (sin lambda2)) (log (sin (- lambda1 lambda2))) (exp (sin (- lambda1 lambda2))) (* (cbrt (sin (- lambda1 lambda2))) (cbrt (sin (- lambda1 lambda2)))) (cbrt (sin (- lambda1 lambda2))) (* (* (sin (- lambda1 lambda2)) (sin (- lambda1 lambda2))) (sin (- lambda1 lambda2))) (sqrt (sin (- lambda1 lambda2))) (sqrt (sin (- lambda1 lambda2))) (* (cos lambda1) (cos (neg lambda2))) (* (sin lambda1) (sin (neg lambda2))) (* (cos lambda1) (cos (neg lambda2))) (* (sin lambda1) (sin (neg 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))) (* (* (sin phi1) (cos phi2)) (cos (- lambda1 lambda2))) (* (* (sin phi1) (cos phi2)) (cos (- lambda1 lambda2))) (+ (+ (log (sin phi1)) (log (cos phi2))) (log (cos (- lambda1 lambda2)))) (+ (log (* (sin phi1) (cos phi2))) (log (cos (- lambda1 lambda2)))) (log (* (* (sin phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (exp (* (* (sin phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (* (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (cos phi2) (cos phi2)) (cos phi2))) (* (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2)))) (* (* (* (* (sin phi1) (cos phi2)) (* (sin phi1) (cos phi2))) (* (sin phi1) (cos phi2))) (* (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2)))) (* (cbrt (* (* (sin phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (cbrt (* (* (sin phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (cbrt (* (* (sin phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (* (* (* (* (sin phi1) (cos phi2)) (cos (- lambda1 lambda2))) (* (* (sin phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (* (* (sin phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (sqrt (* (* (sin phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (sqrt (* (* (sin phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (* (* (sin phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (sin phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (cos lambda1) (cos lambda2)) (* (sin phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (sin phi1) (cos phi2))) (* (* (sin phi1) (cos phi2)) (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2))))) (* (* (sin phi1) (cos phi2)) (sqrt (cos (- lambda1 lambda2)))) (* (* (sin phi1) (cos phi2)) 1) (* (cos phi2) (cos (- lambda1 lambda2))) (* (+ (sin (- phi1 phi2)) (sin (+ phi1 phi2))) (cos (- lambda1 lambda2))) (* (cos phi1) (sin phi2)) (+ (log (cos phi1)) (log (sin phi2))) (log (* (cos phi1) (sin phi2))) (exp (* (cos phi1) (sin phi2))) (* (* (* (cos phi1) (cos phi1)) (cos phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) (* (cbrt (* (cos phi1) (sin phi2))) (cbrt (* (cos phi1) (sin phi2)))) (cbrt (* (cos phi1) (sin phi2))) (* (* (* (cos phi1) (sin phi2)) (* (cos phi1) (sin phi2))) (* (cos phi1) (sin phi2))) (sqrt (* (cos phi1) (sin phi2))) (sqrt (* (cos phi1) (sin phi2))) (* (sqrt (cos phi1)) (sqrt (sin phi2))) (* (sqrt (cos phi1)) (sqrt (sin phi2))) (* (cos phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (cos phi1) (sqrt (sin phi2))) (* (cos phi1) 1) (* (cbrt (cos phi1)) (sin phi2)) (* (sqrt (cos phi1)) (sin phi2)) (* (cos phi1) (sin phi2)) (- lambda1 (+ lambda2 (* 1/6 (pow lambda1 3)))) (sin (- lambda1 lambda2)) (sin (- lambda1 lambda2)) (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2))) (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2)) phi1 (* (sin phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (- phi2 (+ (* 1/2 (* phi2 (pow phi1 2))) (* 1/6 (pow phi2 3)))) (* (cos phi1) (sin phi2)) (* (cos phi1) (sin phi2)) 0.548 * * [simplify]: iteration 0 : 286 enodes (cost 430 ) 0.553 * * [simplify]: iteration 1 : 1077 enodes (cost 367 ) 0.576 * * [simplify]: iteration 2 : 4907 enodes (cost 367 ) 0.651 * * [simplify]: iteration 3 : 5001 enodes (cost 367 ) 0.653 * [simplify]: Simplified to: (* (sin lambda1) (cos lambda2)) (* (cos lambda1) (sin (neg lambda2))) (* (sin lambda1) (cos lambda2)) (* (cos lambda1) (sin (neg lambda2))) (* (sin lambda1) (cos lambda2)) (* (cos lambda1) (sin lambda2)) (log (sin (- lambda1 lambda2))) (exp (sin (- lambda1 lambda2))) (* (cbrt (sin (- lambda1 lambda2))) (cbrt (sin (- lambda1 lambda2)))) (cbrt (sin (- lambda1 lambda2))) (pow (sin (- lambda1 lambda2)) 3) (sqrt (sin (- lambda1 lambda2))) (sqrt (sin (- lambda1 lambda2))) (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (neg lambda2))) (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (neg lambda2))) (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)) (log (cos (- lambda1 lambda2))) (exp (cos (- lambda1 lambda2))) (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2)))) (cbrt (cos (- lambda1 lambda2))) (pow (cos (- lambda1 lambda2)) 3) (sqrt (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))) (* (sin phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (log (* (* (sin phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (log (* (* (sin phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (log (* (* (sin phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (exp (* (* (sin phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (pow (* (sin phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 3) (pow (* (sin phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 3) (* (cbrt (* (* (sin phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (cbrt (* (* (sin phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (cbrt (* (* (sin phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (pow (* (sin phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 3) (sqrt (* (* (sin phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (sqrt (* (* (sin phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (* (* (sin phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (sin phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (sin phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (sin phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (sin phi1) (cos phi2)) (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2))))) (* (* (sin phi1) (cos phi2)) (sqrt (cos (- lambda1 lambda2)))) (* (sin phi1) (cos phi2)) (* (cos phi2) (cos (- lambda1 lambda2))) (* (+ (sin (- phi1 phi2)) (sin (+ phi1 phi2))) (cos (- lambda1 lambda2))) (* (cos phi1) (sin phi2)) (log (* (cos phi1) (sin phi2))) (log (* (cos phi1) (sin phi2))) (exp (* (cos phi1) (sin phi2))) (pow (* (cos phi1) (sin phi2)) 3) (* (cbrt (* (cos phi1) (sin phi2))) (cbrt (* (cos phi1) (sin phi2)))) (cbrt (* (cos phi1) (sin phi2))) (pow (* (cos phi1) (sin phi2)) 3) (sqrt (* (cos phi1) (sin phi2))) (sqrt (* (cos phi1) (sin phi2))) (* (sqrt (cos phi1)) (sqrt (sin phi2))) (* (sqrt (cos phi1)) (sqrt (sin phi2))) (* (cos phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (cos phi1) (sqrt (sin phi2))) (cos phi1) (* (cbrt (cos phi1)) (sin phi2)) (* (sqrt (cos phi1)) (sin phi2)) (* (cos phi1) (sin phi2)) (- lambda1 (+ lambda2 (* 1/6 (pow lambda1 3)))) (sin (- lambda1 lambda2)) (sin (- lambda1 lambda2)) (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2))) (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2)) phi1 (* (sin phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (- phi2 (+ (* 1/2 (* phi2 (pow phi1 2))) (* 1/6 (pow phi2 3)))) (* (cos phi1) (sin phi2)) (* (cos phi1) (sin phi2)) 0.653 * * * [progress]: adding candidates to table 0.966 * * [progress]: iteration 2 / 4 0.966 * * * [progress]: picking best candidate 1.062 * * * * [pick]: Picked # 1.062 * * * [progress]: localizing error 1.102 * * * [progress]: generating rewritten candidates 1.102 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 1.106 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 1.112 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 1.116 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 1.122 * * * [progress]: generating series expansions 1.122 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 1.122 * [approximate]: Approximating (cos (- lambda1 lambda2)) in (lambda1 lambda2) around 0 1.124 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2 1.127 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2 1.131 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2 1.134 * [approximate]: Approximating (cos (- (/ 1 lambda1) (/ 1 lambda2))) in (lambda1 lambda2) around 0 1.137 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 1.138 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 1.138 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 1.138 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 1.138 * [approximate]: Approximating (cos (- (/ 1 lambda2) (/ 1 lambda1))) in (lambda1 lambda2) around 0 1.141 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 1.142 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 1.142 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 1.142 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 1.142 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 1.142 * [approximate]: Approximating (* (sin phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in (phi1 phi2 lambda1 lambda2) around 0 1.144 * [taylor]: Taking taylor expansion of (* (sin phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in phi2 1.144 * [taylor]: Taking taylor expansion of (* (sin phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in lambda1 1.144 * [taylor]: Taking taylor expansion of (* (sin phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in lambda2 1.150 * [taylor]: Taking taylor expansion of (* (sin phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in phi2 1.151 * [taylor]: Taking taylor expansion of (* (sin phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in lambda1 1.151 * [taylor]: Taking taylor expansion of (* (sin phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in lambda2 1.152 * [taylor]: Taking taylor expansion of (* (sin phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in lambda1 1.152 * [taylor]: Taking taylor expansion of (* (sin phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in lambda2 1.152 * [taylor]: Taking taylor expansion of (* (sin phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in lambda2 1.160 * [taylor]: Taking taylor expansion of (* (sin phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in phi2 1.160 * [taylor]: Taking taylor expansion of (* (sin phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in lambda1 1.160 * [taylor]: Taking taylor expansion of (* (sin phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in lambda2 1.168 * [taylor]: Taking taylor expansion of (* (sin phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in lambda1 1.168 * [taylor]: Taking taylor expansion of (* (sin phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in lambda2 1.168 * [taylor]: Taking taylor expansion of (* (sin phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in lambda1 1.168 * [taylor]: Taking taylor expansion of (* (sin phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in lambda2 1.169 * [approximate]: Approximating (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (sin (/ 1 phi1)))) in (phi1 phi2 lambda1 lambda2) around 0 1.174 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (sin (/ 1 phi1)))) in phi2 1.176 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (sin (/ 1 phi1)))) in lambda1 1.177 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (sin (/ 1 phi1)))) in lambda2 1.185 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (sin (/ 1 phi1)))) in phi2 1.185 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (sin (/ 1 phi1)))) in lambda1 1.185 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (sin (/ 1 phi1)))) in lambda2 1.190 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (sin (/ 1 phi1)))) in lambda1 1.190 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (sin (/ 1 phi1)))) in lambda2 1.195 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (sin (/ 1 phi1)))) in lambda2 1.207 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (sin (/ 1 phi1)))) in phi2 1.207 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (sin (/ 1 phi1)))) in lambda1 1.207 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (sin (/ 1 phi1)))) in lambda2 1.207 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (sin (/ 1 phi1)))) in lambda1 1.207 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (sin (/ 1 phi1)))) in lambda2 1.207 * [approximate]: Approximating (* (sin (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in (phi1 phi2 lambda1 lambda2) around 0 1.213 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in phi2 1.214 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda1 1.216 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda2 1.224 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in phi2 1.224 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda1 1.224 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda2 1.229 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda1 1.229 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda2 1.234 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda2 1.249 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in phi2 1.249 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda1 1.249 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda2 1.249 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda1 1.249 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda2 1.249 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 1.250 * [approximate]: Approximating (* (cos phi1) (sin phi2)) in (phi1 phi2) around 0 1.250 * [taylor]: Taking taylor expansion of (* (cos phi1) (sin phi2)) in phi2 1.252 * [taylor]: Taking taylor expansion of (* (cos phi1) (sin phi2)) in phi2 1.257 * [taylor]: Taking taylor expansion of (* (cos phi1) (sin phi2)) in phi2 1.263 * [taylor]: Taking taylor expansion of (* (cos phi1) (sin phi2)) in phi2 1.266 * [approximate]: Approximating (* (cos (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 1.267 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 1.270 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 1.275 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 1.283 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 1.283 * [approximate]: Approximating (* (cos (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 1.285 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.288 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.293 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.300 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.300 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 1.301 * [approximate]: Approximating (* (sin lambda1) (cos lambda2)) in (lambda1 lambda2) around 0 1.301 * [taylor]: Taking taylor expansion of (* (sin lambda1) (cos lambda2)) in lambda2 1.304 * [taylor]: Taking taylor expansion of (* (sin lambda1) (cos lambda2)) in lambda2 1.308 * [taylor]: Taking taylor expansion of (* (sin lambda1) (cos lambda2)) in lambda2 1.314 * [taylor]: Taking taylor expansion of (* (sin lambda1) (cos lambda2)) in lambda2 1.316 * [approximate]: Approximating (* (sin (/ 1 lambda1)) (cos (/ 1 lambda2))) in (lambda1 lambda2) around 0 1.317 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (cos (/ 1 lambda2))) in lambda2 1.320 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (cos (/ 1 lambda2))) in lambda2 1.329 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (cos (/ 1 lambda2))) in lambda2 1.336 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (cos (/ 1 lambda2))) in lambda2 1.336 * [approximate]: Approximating (* (sin (/ -1 lambda1)) (cos (/ -1 lambda2))) in (lambda1 lambda2) around 0 1.338 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda2 1.342 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda2 1.347 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda2 1.354 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda2 1.355 * * * [progress]: simplifying candidates 1.355 * [simplify]: Simplifying using # : (* (cos lambda1) (cos (neg lambda2))) (* (sin lambda1) (sin (neg lambda2))) (* (cos lambda1) (cos (neg lambda2))) (* (sin lambda1) (sin (neg 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))) (* (* (sin phi1) (cos phi2)) (cos (- lambda1 lambda2))) (* (* (sin phi1) (cos phi2)) (cos (- lambda1 lambda2))) (+ (+ (log (sin phi1)) (log (cos phi2))) (log (cos (- lambda1 lambda2)))) (+ (log (* (sin phi1) (cos phi2))) (log (cos (- lambda1 lambda2)))) (log (* (* (sin phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (exp (* (* (sin phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (* (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (cos phi2) (cos phi2)) (cos phi2))) (* (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2)))) (* (* (* (* (sin phi1) (cos phi2)) (* (sin phi1) (cos phi2))) (* (sin phi1) (cos phi2))) (* (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2)))) (* (cbrt (* (* (sin phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (cbrt (* (* (sin phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (cbrt (* (* (sin phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (* (* (* (* (sin phi1) (cos phi2)) (cos (- lambda1 lambda2))) (* (* (sin phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (* (* (sin phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (sqrt (* (* (sin phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (sqrt (* (* (sin phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (* (* (sin phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (sin phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (cos lambda1) (cos lambda2)) (* (sin phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (sin phi1) (cos phi2))) (* (* (sin phi1) (cos phi2)) (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2))))) (* (* (sin phi1) (cos phi2)) (sqrt (cos (- lambda1 lambda2)))) (* (* (sin phi1) (cos phi2)) 1) (* (cos phi2) (cos (- lambda1 lambda2))) (* (+ (sin (- phi1 phi2)) (sin (+ phi1 phi2))) (cos (- lambda1 lambda2))) (* (cos phi1) (sin phi2)) (+ (log (cos phi1)) (log (sin phi2))) (log (* (cos phi1) (sin phi2))) (exp (* (cos phi1) (sin phi2))) (* (* (* (cos phi1) (cos phi1)) (cos phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) (* (cbrt (* (cos phi1) (sin phi2))) (cbrt (* (cos phi1) (sin phi2)))) (cbrt (* (cos phi1) (sin phi2))) (* (* (* (cos phi1) (sin phi2)) (* (cos phi1) (sin phi2))) (* (cos phi1) (sin phi2))) (sqrt (* (cos phi1) (sin phi2))) (sqrt (* (cos phi1) (sin phi2))) (* (sqrt (cos phi1)) (sqrt (sin phi2))) (* (sqrt (cos phi1)) (sqrt (sin phi2))) (* (cos phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (cos phi1) (sqrt (sin phi2))) (* (cos phi1) 1) (* (cbrt (cos phi1)) (sin phi2)) (* (sqrt (cos phi1)) (sin phi2)) (* (cos phi1) (sin phi2)) (+ (sin (- lambda1 lambda2)) (sin (+ lambda1 lambda2))) (* (sin lambda1) (cos lambda2)) (+ (log (sin lambda1)) (log (cos lambda2))) (log (* (sin lambda1) (cos lambda2))) (exp (* (sin lambda1) (cos lambda2))) (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (cos lambda2) (cos lambda2)) (cos lambda2))) (* (cbrt (* (sin lambda1) (cos lambda2))) (cbrt (* (sin lambda1) (cos lambda2)))) (cbrt (* (sin lambda1) (cos lambda2))) (* (* (* (sin lambda1) (cos lambda2)) (* (sin lambda1) (cos lambda2))) (* (sin lambda1) (cos lambda2))) (sqrt (* (sin lambda1) (cos lambda2))) (sqrt (* (sin lambda1) (cos lambda2))) (* (sqrt (sin lambda1)) (sqrt (cos lambda2))) (* (sqrt (sin lambda1)) (sqrt (cos lambda2))) (* (sin lambda1) (* (cbrt (cos lambda2)) (cbrt (cos lambda2)))) (* (sin lambda1) (sqrt (cos lambda2))) (* (sin lambda1) 1) (* (cbrt (sin lambda1)) (cos lambda2)) (* (sqrt (sin lambda1)) (cos lambda2)) (* (sin lambda1) (cos lambda2)) (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2))) (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2)) phi1 (* (sin phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (- phi2 (+ (* 1/2 (* phi2 (pow phi1 2))) (* 1/6 (pow phi2 3)))) (* (cos phi1) (sin phi2)) (* (cos phi1) (sin phi2)) (- lambda1 (+ (* 1/2 (* (pow lambda2 2) lambda1)) (* 1/6 (pow lambda1 3)))) (* (sin lambda1) (cos lambda2)) (* (sin lambda1) (cos lambda2)) 1.360 * * [simplify]: iteration 0 : 340 enodes (cost 481 ) 1.366 * * [simplify]: iteration 1 : 1343 enodes (cost 409 ) 1.392 * * [simplify]: iteration 2 : 5002 enodes (cost 409 ) 1.395 * [simplify]: Simplified to: (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (neg lambda2))) (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (neg lambda2))) (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)) (log (cos (- lambda1 lambda2))) (exp (cos (- lambda1 lambda2))) (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2)))) (cbrt (cos (- lambda1 lambda2))) (pow (cos (- lambda1 lambda2)) 3) (sqrt (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))) (* (sin phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (log (* (* (sin phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (log (* (* (sin phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (log (* (* (sin phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (exp (* (* (sin phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (pow (* (sin phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 3) (pow (* (sin phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 3) (* (cbrt (* (* (sin phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (cbrt (* (* (sin phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (cbrt (* (* (sin phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (pow (* (sin phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 3) (sqrt (* (* (sin phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (sqrt (* (* (sin phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (* (* (sin phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (sin phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (sin phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (sin phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (sin phi1) (cos phi2)) (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2))))) (* (* (sin phi1) (cos phi2)) (sqrt (cos (- lambda1 lambda2)))) (* (sin phi1) (cos phi2)) (* (cos phi2) (cos (- lambda1 lambda2))) (* (+ (sin (- phi1 phi2)) (sin (+ phi1 phi2))) (cos (- lambda1 lambda2))) (* (cos phi1) (sin phi2)) (log (* (cos phi1) (sin phi2))) (log (* (cos phi1) (sin phi2))) (exp (* (cos phi1) (sin phi2))) (pow (* (cos phi1) (sin phi2)) 3) (* (cbrt (* (cos phi1) (sin phi2))) (cbrt (* (cos phi1) (sin phi2)))) (cbrt (* (cos phi1) (sin phi2))) (pow (* (cos phi1) (sin phi2)) 3) (sqrt (* (cos phi1) (sin phi2))) (sqrt (* (cos phi1) (sin phi2))) (* (sqrt (cos phi1)) (sqrt (sin phi2))) (* (sqrt (cos phi1)) (sqrt (sin phi2))) (* (cos phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (cos phi1) (sqrt (sin phi2))) (cos phi1) (* (cbrt (cos phi1)) (sin phi2)) (* (sqrt (cos phi1)) (sin phi2)) (* (cos phi1) (sin phi2)) (+ (sin (- lambda1 lambda2)) (sin (+ lambda1 lambda2))) (* (sin lambda1) (cos lambda2)) (log (* (sin lambda1) (cos lambda2))) (log (* (sin lambda1) (cos lambda2))) (exp (* (sin lambda1) (cos lambda2))) (pow (* (sin lambda1) (cos lambda2)) 3) (* (cbrt (* (sin lambda1) (cos lambda2))) (cbrt (* (sin lambda1) (cos lambda2)))) (cbrt (* (sin lambda1) (cos lambda2))) (pow (* (sin lambda1) (cos lambda2)) 3) (sqrt (* (sin lambda1) (cos lambda2))) (sqrt (* (sin lambda1) (cos lambda2))) (* (sqrt (sin lambda1)) (sqrt (cos lambda2))) (* (sqrt (sin lambda1)) (sqrt (cos lambda2))) (* (sin lambda1) (* (cbrt (cos lambda2)) (cbrt (cos lambda2)))) (* (sin lambda1) (sqrt (cos lambda2))) (sin lambda1) (* (cbrt (sin lambda1)) (cos lambda2)) (* (sqrt (sin lambda1)) (cos lambda2)) (* (sin lambda1) (cos lambda2)) (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2))) (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2)) phi1 (* (sin phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (- phi2 (+ (* 1/2 (* phi2 (pow phi1 2))) (* 1/6 (pow phi2 3)))) (* (cos phi1) (sin phi2)) (* (cos phi1) (sin phi2)) (- lambda1 (+ (* 1/2 (* (pow lambda2 2) lambda1)) (* 1/6 (pow lambda1 3)))) (* (sin lambda1) (cos lambda2)) (* (sin lambda1) (cos lambda2)) 1.395 * * * [progress]: adding candidates to table 1.783 * * [progress]: iteration 3 / 4 1.783 * * * [progress]: picking best candidate 1.873 * * * * [pick]: Picked # 1.873 * * * [progress]: localizing error 1.914 * * * [progress]: generating rewritten candidates 1.914 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 1.923 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 1.932 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 2 2) 1.937 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 1.943 * * * [progress]: generating series expansions 1.943 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 1.944 * [approximate]: Approximating (* (sin phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) in (phi1 phi2 lambda1 lambda2) around 0 1.945 * [taylor]: Taking taylor expansion of (* (sin phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) in phi2 1.946 * [taylor]: Taking taylor expansion of (* (sin phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) in lambda1 1.946 * [taylor]: Taking taylor expansion of (* (sin phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) in lambda2 1.953 * [taylor]: Taking taylor expansion of (* (sin phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) in phi2 1.953 * [taylor]: Taking taylor expansion of (* (sin phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) in lambda1 1.954 * [taylor]: Taking taylor expansion of (* (sin phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) in lambda2 1.954 * [taylor]: Taking taylor expansion of (* (sin phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) in lambda1 1.954 * [taylor]: Taking taylor expansion of (* (sin phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) in lambda2 1.954 * [taylor]: Taking taylor expansion of (* (sin phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) in lambda2 1.963 * [taylor]: Taking taylor expansion of (* (sin phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) in phi2 1.963 * [taylor]: Taking taylor expansion of (* (sin phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) in lambda1 1.963 * [taylor]: Taking taylor expansion of (* (sin phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) in lambda2 1.964 * [approximate]: Approximating (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (sin (/ 1 phi1))))) in (phi1 phi2 lambda1 lambda2) around 0 1.967 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (sin (/ 1 phi1))))) in phi2 1.969 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (sin (/ 1 phi1))))) in lambda1 1.970 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (sin (/ 1 phi1))))) in lambda2 1.978 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (sin (/ 1 phi1))))) in phi2 1.978 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (sin (/ 1 phi1))))) in lambda1 1.978 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (sin (/ 1 phi1))))) in lambda2 1.985 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (sin (/ 1 phi1))))) in lambda1 1.985 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (sin (/ 1 phi1))))) in lambda2 1.992 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (sin (/ 1 phi1))))) in lambda2 2.011 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (sin (/ 1 phi1))))) in phi2 2.011 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (sin (/ 1 phi1))))) in lambda1 2.011 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (sin (/ 1 phi1))))) in lambda2 2.011 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (sin (/ 1 phi1))))) in lambda1 2.011 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (sin (/ 1 phi1))))) in lambda2 2.011 * [approximate]: Approximating (* (sin (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in (phi1 phi2 lambda1 lambda2) around 0 2.015 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in phi2 2.017 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in lambda1 2.018 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in lambda2 2.027 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in phi2 2.027 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in lambda1 2.027 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in lambda2 2.033 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in lambda1 2.033 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in lambda2 2.040 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in lambda2 2.056 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in phi2 2.056 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in lambda1 2.056 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in lambda2 2.056 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in lambda1 2.056 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in lambda2 2.056 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 2.057 * [approximate]: Approximating (* (sin phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) in (phi1 phi2 lambda1 lambda2) around 0 2.058 * [taylor]: Taking taylor expansion of (* (sin phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) in phi2 2.058 * [taylor]: Taking taylor expansion of (* (sin phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) in lambda1 2.058 * [taylor]: Taking taylor expansion of (* (sin phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) in lambda2 2.066 * [taylor]: Taking taylor expansion of (* (sin phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) in phi2 2.067 * [taylor]: Taking taylor expansion of (* (sin phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) in lambda1 2.068 * [taylor]: Taking taylor expansion of (* (sin phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) in lambda2 2.068 * [taylor]: Taking taylor expansion of (* (sin phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) in lambda1 2.068 * [taylor]: Taking taylor expansion of (* (sin phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) in lambda2 2.068 * [taylor]: Taking taylor expansion of (* (sin phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) in lambda2 2.078 * [taylor]: Taking taylor expansion of (* (sin phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) in phi2 2.078 * [taylor]: Taking taylor expansion of (* (sin phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) in lambda1 2.078 * [taylor]: Taking taylor expansion of (* (sin phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) in lambda2 2.086 * [taylor]: Taking taylor expansion of (* (sin phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) in lambda1 2.086 * [taylor]: Taking taylor expansion of (* (sin phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) in lambda2 2.086 * [taylor]: Taking taylor expansion of (* (sin phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) in lambda1 2.086 * [taylor]: Taking taylor expansion of (* (sin phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) in lambda2 2.086 * [approximate]: Approximating (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 phi1)) (cos (/ 1 lambda1))))) in (phi1 phi2 lambda1 lambda2) around 0 2.091 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 phi1)) (cos (/ 1 lambda1))))) in phi2 2.093 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 phi1)) (cos (/ 1 lambda1))))) in lambda1 2.094 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 phi1)) (cos (/ 1 lambda1))))) in lambda2 2.104 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 phi1)) (cos (/ 1 lambda1))))) in phi2 2.104 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 phi1)) (cos (/ 1 lambda1))))) in lambda1 2.104 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 phi1)) (cos (/ 1 lambda1))))) in lambda2 2.111 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 phi1)) (cos (/ 1 lambda1))))) in lambda1 2.111 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 phi1)) (cos (/ 1 lambda1))))) in lambda2 2.118 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 phi1)) (cos (/ 1 lambda1))))) in lambda2 2.135 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 phi1)) (cos (/ 1 lambda1))))) in phi2 2.135 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 phi1)) (cos (/ 1 lambda1))))) in lambda1 2.135 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 phi1)) (cos (/ 1 lambda1))))) in lambda2 2.135 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 phi1)) (cos (/ 1 lambda1))))) in lambda1 2.135 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (sin (/ 1 phi1)) (cos (/ 1 lambda1))))) in lambda2 2.135 * [approximate]: Approximating (* (sin (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) in (phi1 phi2 lambda1 lambda2) around 0 2.140 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) in phi2 2.142 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) in lambda1 2.144 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) in lambda2 2.153 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) in phi2 2.153 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) in lambda1 2.153 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) in lambda2 2.160 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) in lambda1 2.160 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) in lambda2 2.170 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) in lambda2 2.187 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) in phi2 2.188 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) in lambda1 2.188 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) in lambda2 2.188 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) in lambda1 2.188 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) in lambda2 2.188 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 2 2) 2.188 * [approximate]: Approximating (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0 2.188 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 2.191 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 2.195 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 2.201 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 2.208 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 2.208 * [approximate]: Approximating (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in (lambda1 lambda2) around 0 2.210 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 2.213 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 2.218 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 2.225 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 2.225 * [approximate]: Approximating (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0 2.227 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 2.230 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 2.235 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 2.244 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 2.245 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 2.245 * [approximate]: Approximating (* (cos phi1) (sin phi2)) in (phi1 phi2) around 0 2.245 * [taylor]: Taking taylor expansion of (* (cos phi1) (sin phi2)) in phi2 2.248 * [taylor]: Taking taylor expansion of (* (cos phi1) (sin phi2)) in phi2 2.252 * [taylor]: Taking taylor expansion of (* (cos phi1) (sin phi2)) in phi2 2.258 * [taylor]: Taking taylor expansion of (* (cos phi1) (sin phi2)) in phi2 2.261 * [approximate]: Approximating (* (cos (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 2.263 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 2.266 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 2.272 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 2.279 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 2.279 * [approximate]: Approximating (* (cos (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 2.281 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 2.284 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 2.289 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 2.296 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 2.296 * * * [progress]: simplifying candidates 2.298 * [simplify]: Simplifying using # : (* (* (sin phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (sin phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (sin phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (sin phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (+ (+ (log (sin phi1)) (log (cos phi2))) (+ (log (sin lambda1)) (log (sin lambda2)))) (+ (+ (log (sin phi1)) (log (cos phi2))) (log (* (sin lambda1) (sin lambda2)))) (+ (log (* (sin phi1) (cos phi2))) (+ (log (sin lambda1)) (log (sin lambda2)))) (+ (log (* (sin phi1) (cos phi2))) (log (* (sin lambda1) (sin lambda2)))) (log (* (* (sin phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (exp (* (* (sin phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (* (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (cos phi2) (cos phi2)) (cos phi2))) (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin lambda2) (sin lambda2)) (sin lambda2)))) (* (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (cos phi2) (cos phi2)) (cos phi2))) (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2)))) (* (* (* (* (sin phi1) (cos phi2)) (* (sin phi1) (cos phi2))) (* (sin phi1) (cos phi2))) (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin lambda2) (sin lambda2)) (sin lambda2)))) (* (* (* (* (sin phi1) (cos phi2)) (* (sin phi1) (cos phi2))) (* (sin phi1) (cos phi2))) (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2)))) (* (cbrt (* (* (sin phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (cbrt (* (* (sin phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))) (cbrt (* (* (sin phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (* (* (* (* (sin phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (sin phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (* (* (sin phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (sqrt (* (* (sin phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (sqrt (* (* (sin phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (* (+ (sin (- phi1 phi2)) (sin (+ phi1 phi2))) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2)))) (* 2 2) (* (* (sin phi1) (cos phi2)) (sin lambda1)) (* (cos phi2) (* (sin lambda1) (sin lambda2))) (* (* (sin phi1) (cos phi2)) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2)))) (* (+ (sin (- phi1 phi2)) (sin (+ phi1 phi2))) (* (sin lambda1) (sin lambda2))) (* (* (sin phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (sin phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (sin phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (sin phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (+ (+ (log (sin phi1)) (log (cos phi2))) (+ (log (cos lambda1)) (log (cos lambda2)))) (+ (+ (log (sin phi1)) (log (cos phi2))) (log (* (cos lambda1) (cos lambda2)))) (+ (log (* (sin phi1) (cos phi2))) (+ (log (cos lambda1)) (log (cos lambda2)))) (+ (log (* (sin phi1) (cos phi2))) (log (* (cos lambda1) (cos lambda2)))) (log (* (* (sin phi1) (cos phi2)) (* (cos lambda1) (cos lambda2)))) (exp (* (* (sin phi1) (cos phi2)) (* (cos lambda1) (cos lambda2)))) (* (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (cos phi2) (cos phi2)) (cos phi2))) (* (* (* (cos lambda1) (cos lambda1)) (cos lambda1)) (* (* (cos lambda2) (cos lambda2)) (cos lambda2)))) (* (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (cos phi2) (cos phi2)) (cos phi2))) (* (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (cos lambda1) (cos lambda2)))) (* (* (* (* (sin phi1) (cos phi2)) (* (sin phi1) (cos phi2))) (* (sin phi1) (cos phi2))) (* (* (* (cos lambda1) (cos lambda1)) (cos lambda1)) (* (* (cos lambda2) (cos lambda2)) (cos lambda2)))) (* (* (* (* (sin phi1) (cos phi2)) (* (sin phi1) (cos phi2))) (* (sin phi1) (cos phi2))) (* (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (cos lambda1) (cos lambda2)))) (* (cbrt (* (* (sin phi1) (cos phi2)) (* (cos lambda1) (cos lambda2)))) (cbrt (* (* (sin phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))))) (cbrt (* (* (sin phi1) (cos phi2)) (* (cos lambda1) (cos lambda2)))) (* (* (* (* (sin phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (sin phi1) (cos phi2)) (* (cos lambda1) (cos lambda2)))) (* (* (sin phi1) (cos phi2)) (* (cos lambda1) (cos lambda2)))) (sqrt (* (* (sin phi1) (cos phi2)) (* (cos lambda1) (cos lambda2)))) (sqrt (* (* (sin phi1) (cos phi2)) (* (cos lambda1) (cos lambda2)))) (* (+ (sin (- phi1 phi2)) (sin (+ phi1 phi2))) (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2)))) (* 2 2) (* (* (sin phi1) (cos phi2)) (cos lambda1)) (* (cos phi2) (* (cos lambda1) (cos lambda2))) (* (* (sin phi1) (cos phi2)) (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2)))) (* (+ (sin (- phi1 phi2)) (sin (+ phi1 phi2))) (* (cos lambda1) (cos lambda2))) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (* (sin lambda1) (sin lambda2)) (+ (log (sin lambda1)) (log (sin lambda2))) (log (* (sin lambda1) (sin lambda2))) (exp (* (sin lambda1) (sin lambda2))) (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin lambda2) (sin lambda2)) (sin lambda2))) (* (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (sin lambda1) (sin lambda2)))) (cbrt (* (sin lambda1) (sin lambda2))) (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (* (sin lambda1) (sqrt (sin lambda2))) (* (sin lambda1) 1) (* (cbrt (sin lambda1)) (sin lambda2)) (* (sqrt (sin lambda1)) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (* (cos phi1) (sin phi2)) (+ (log (cos phi1)) (log (sin phi2))) (log (* (cos phi1) (sin phi2))) (exp (* (cos phi1) (sin phi2))) (* (* (* (cos phi1) (cos phi1)) (cos phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) (* (cbrt (* (cos phi1) (sin phi2))) (cbrt (* (cos phi1) (sin phi2)))) (cbrt (* (cos phi1) (sin phi2))) (* (* (* (cos phi1) (sin phi2)) (* (cos phi1) (sin phi2))) (* (cos phi1) (sin phi2))) (sqrt (* (cos phi1) (sin phi2))) (sqrt (* (cos phi1) (sin phi2))) (* (sqrt (cos phi1)) (sqrt (sin phi2))) (* (sqrt (cos phi1)) (sqrt (sin phi2))) (* (cos phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (cos phi1) (sqrt (sin phi2))) (* (cos phi1) 1) (* (cbrt (cos phi1)) (sin phi2)) (* (sqrt (cos phi1)) (sin phi2)) (* (cos phi1) (sin phi2)) 0 (* (sin lambda1) (* (cos phi2) (* (sin lambda2) (sin phi1)))) (* (sin phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) phi1 (* (sin phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* lambda2 lambda1) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (- phi2 (+ (* 1/2 (* phi2 (pow phi1 2))) (* 1/6 (pow phi2 3)))) (* (cos phi1) (sin phi2)) (* (cos phi1) (sin phi2)) 2.304 * * [simplify]: iteration 0 : 420 enodes (cost 777 ) 2.312 * * [simplify]: iteration 1 : 1833 enodes (cost 599 ) 2.349 * * [simplify]: iteration 2 : 5001 enodes (cost 599 ) 2.353 * [simplify]: Simplified to: (* (* (sin phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (sin phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (sin phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (sin phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (log (* (* (sin phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (log (* (* (sin phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (log (* (* (sin phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (log (* (* (sin phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (log (* (* (sin phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (exp (* (* (sin phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (pow (* (* (sin phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) 3) (pow (* (* (sin phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) 3) (pow (* (* (sin phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) 3) (pow (* (* (sin phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) 3) (* (cbrt (* (* (sin phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (cbrt (* (* (sin phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))) (cbrt (* (* (sin phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (pow (* (* (sin phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) 3) (sqrt (* (* (sin phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (sqrt (* (* (sin phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (* (+ (sin (- phi1 phi2)) (sin (+ phi1 phi2))) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2)))) 4 (* (* (sin phi1) (cos phi2)) (sin lambda1)) (* (cos phi2) (* (sin lambda2) (sin lambda1))) (* (* (sin phi1) (cos phi2)) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2)))) (* (+ (sin (- phi1 phi2)) (sin (+ phi1 phi2))) (* (sin lambda1) (sin lambda2))) (* (* (sin phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (sin phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (sin phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (sin phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (log (* (* (sin phi1) (cos phi2)) (* (cos lambda1) (cos lambda2)))) (log (* (* (sin phi1) (cos phi2)) (* (cos lambda1) (cos lambda2)))) (log (* (* (sin phi1) (cos phi2)) (* (cos lambda1) (cos lambda2)))) (log (* (* (sin phi1) (cos phi2)) (* (cos lambda1) (cos lambda2)))) (log (* (* (sin phi1) (cos phi2)) (* (cos lambda1) (cos lambda2)))) (exp (* (* (sin phi1) (cos phi2)) (* (cos lambda1) (cos lambda2)))) (pow (* (* (sin phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) 3) (pow (* (* (sin phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) 3) (pow (* (* (sin phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) 3) (pow (* (* (sin phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) 3) (* (cbrt (* (* (sin phi1) (cos phi2)) (* (cos lambda1) (cos lambda2)))) (cbrt (* (* (sin phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))))) (cbrt (* (* (sin phi1) (cos phi2)) (* (cos lambda1) (cos lambda2)))) (pow (* (* (sin phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) 3) (sqrt (* (* (sin phi1) (cos phi2)) (* (cos lambda1) (cos lambda2)))) (sqrt (* (* (sin phi1) (cos phi2)) (* (cos lambda1) (cos lambda2)))) (* (+ (sin (- phi1 phi2)) (sin (+ phi1 phi2))) (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2)))) 4 (* (* (sin phi1) (cos phi2)) (cos lambda1)) (* (cos phi2) (* (cos lambda1) (cos lambda2))) (* (* (sin phi1) (cos phi2)) (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2)))) (* (+ (sin (- phi1 phi2)) (sin (+ phi1 phi2))) (* (cos lambda1) (cos lambda2))) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (* (sin lambda1) (sin lambda2)) (log (* (sin lambda1) (sin lambda2))) (log (* (sin lambda1) (sin lambda2))) (exp (* (sin lambda1) (sin lambda2))) (pow (* (sin lambda1) (sin lambda2)) 3) (* (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (sin lambda1) (sin lambda2)))) (cbrt (* (sin lambda1) (sin lambda2))) (pow (* (sin lambda1) (sin lambda2)) 3) (sqrt (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (* (sin lambda1) (sqrt (sin lambda2))) (sin lambda1) (* (cbrt (sin lambda1)) (sin lambda2)) (* (sqrt (sin lambda1)) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (* (cos phi1) (sin phi2)) (log (* (cos phi1) (sin phi2))) (log (* (cos phi1) (sin phi2))) (exp (* (cos phi1) (sin phi2))) (pow (* (cos phi1) (sin phi2)) 3) (* (cbrt (* (cos phi1) (sin phi2))) (cbrt (* (cos phi1) (sin phi2)))) (cbrt (* (cos phi1) (sin phi2))) (pow (* (cos phi1) (sin phi2)) 3) (sqrt (* (cos phi1) (sin phi2))) (sqrt (* (cos phi1) (sin phi2))) (* (sqrt (cos phi1)) (sqrt (sin phi2))) (* (sqrt (cos phi1)) (sqrt (sin phi2))) (* (cos phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (cos phi1) (sqrt (sin phi2))) (cos phi1) (* (cbrt (cos phi1)) (sin phi2)) (* (sqrt (cos phi1)) (sin phi2)) (* (cos phi1) (sin phi2)) 0 (* (* (sin phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (sin phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) phi1 (* (* (sin phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (sin phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* lambda2 lambda1) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (- phi2 (+ (* 1/2 (* phi2 (pow phi1 2))) (* 1/6 (pow phi2 3)))) (* (cos phi1) (sin phi2)) (* (cos phi1) (sin phi2)) 2.353 * * * [progress]: adding candidates to table 2.802 * * [progress]: iteration 4 / 4 2.803 * * * [progress]: picking best candidate 2.893 * * * * [pick]: Picked # 2.893 * * * [progress]: localizing error 2.934 * * * [progress]: generating rewritten candidates 2.934 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2 2) 2.939 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 2.943 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 2.948 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 2.960 * * * [progress]: generating series expansions 2.960 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2 2) 2.960 * [approximate]: Approximating (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0 2.961 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 2.964 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 2.968 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 2.973 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 2.981 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 2.981 * [approximate]: Approximating (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in (lambda1 lambda2) around 0 2.983 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 2.985 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 2.991 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 2.997 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 2.998 * [approximate]: Approximating (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0 2.999 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 3.003 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 3.008 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 3.018 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 3.018 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 3.018 * [approximate]: Approximating (* (cos phi1) (sin phi2)) in (phi1 phi2) around 0 3.019 * [taylor]: Taking taylor expansion of (* (cos phi1) (sin phi2)) in phi2 3.021 * [taylor]: Taking taylor expansion of (* (cos phi1) (sin phi2)) in phi2 3.025 * [taylor]: Taking taylor expansion of (* (cos phi1) (sin phi2)) in phi2 3.031 * [taylor]: Taking taylor expansion of (* (cos phi1) (sin phi2)) in phi2 3.034 * [approximate]: Approximating (* (cos (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 3.036 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 3.039 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 3.044 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 3.051 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 3.052 * [approximate]: Approximating (* (cos (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 3.053 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 3.057 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 3.062 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 3.069 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 3.069 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 3.069 * [approximate]: Approximating (* (sin lambda1) (cos lambda2)) in (lambda1 lambda2) around 0 3.070 * [taylor]: Taking taylor expansion of (* (sin lambda1) (cos lambda2)) in lambda2 3.073 * [taylor]: Taking taylor expansion of (* (sin lambda1) (cos lambda2)) in lambda2 3.077 * [taylor]: Taking taylor expansion of (* (sin lambda1) (cos lambda2)) in lambda2 3.083 * [taylor]: Taking taylor expansion of (* (sin lambda1) (cos lambda2)) in lambda2 3.084 * [approximate]: Approximating (* (sin (/ 1 lambda1)) (cos (/ 1 lambda2))) in (lambda1 lambda2) around 0 3.086 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (cos (/ 1 lambda2))) in lambda2 3.089 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (cos (/ 1 lambda2))) in lambda2 3.097 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (cos (/ 1 lambda2))) in lambda2 3.104 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (cos (/ 1 lambda2))) in lambda2 3.105 * [approximate]: Approximating (* (sin (/ -1 lambda1)) (cos (/ -1 lambda2))) in (lambda1 lambda2) around 0 3.107 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda2 3.110 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda2 3.115 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda2 3.122 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda2 3.123 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 3.123 * [approximate]: Approximating (* (sin phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in (phi1 phi2 lambda1 lambda2) around 0 3.125 * [taylor]: Taking taylor expansion of (* (sin phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in phi2 3.125 * [taylor]: Taking taylor expansion of (* (sin phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in lambda1 3.125 * [taylor]: Taking taylor expansion of (* (sin phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in lambda2 3.137 * [taylor]: Taking taylor expansion of (* (sin phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in phi2 3.139 * [taylor]: Taking taylor expansion of (* (sin phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in lambda1 3.139 * [taylor]: Taking taylor expansion of (* (sin phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in lambda2 3.139 * [taylor]: Taking taylor expansion of (* (sin phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in lambda1 3.139 * [taylor]: Taking taylor expansion of (* (sin phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in lambda2 3.139 * [taylor]: Taking taylor expansion of (* (sin phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in lambda2 3.155 * [taylor]: Taking taylor expansion of (* (sin phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in phi2 3.155 * [taylor]: Taking taylor expansion of (* (sin phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in lambda1 3.155 * [taylor]: Taking taylor expansion of (* (sin phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in lambda2 3.165 * [taylor]: Taking taylor expansion of (* (sin phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in lambda1 3.165 * [taylor]: Taking taylor expansion of (* (sin phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in lambda2 3.165 * [taylor]: Taking taylor expansion of (* (sin phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in lambda1 3.165 * [taylor]: Taking taylor expansion of (* (sin phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in lambda2 3.166 * [approximate]: Approximating (* (cos (/ 1 phi2)) (* (sin (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in (phi1 phi2 lambda1 lambda2) around 0 3.174 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (sin (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in phi2 3.177 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (sin (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in lambda1 3.179 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (sin (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in lambda2 3.194 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (sin (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in phi2 3.195 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (sin (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in lambda1 3.195 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (sin (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in lambda2 3.206 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (sin (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in lambda1 3.206 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (sin (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in lambda2 3.216 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (sin (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in lambda2 3.241 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (sin (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in phi2 3.241 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (sin (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in lambda1 3.241 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (sin (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in lambda2 3.241 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (sin (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in lambda1 3.241 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (sin (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in lambda2 3.242 * [approximate]: Approximating (* (sin (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in (phi1 phi2 lambda1 lambda2) around 0 3.248 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in phi2 3.254 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in lambda1 3.257 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in lambda2 3.272 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in phi2 3.272 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in lambda1 3.272 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in lambda2 3.283 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in lambda1 3.283 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in lambda2 3.293 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in lambda2 3.318 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in phi2 3.318 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in lambda1 3.318 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in lambda2 3.318 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in lambda1 3.319 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in lambda2 3.319 * * * [progress]: simplifying candidates 3.320 * [simplify]: Simplifying using # : (- (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)) (* (cos phi1) (sin phi2)) (+ (log (cos phi1)) (log (sin phi2))) (log (* (cos phi1) (sin phi2))) (exp (* (cos phi1) (sin phi2))) (* (* (* (cos phi1) (cos phi1)) (cos phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) (* (cbrt (* (cos phi1) (sin phi2))) (cbrt (* (cos phi1) (sin phi2)))) (cbrt (* (cos phi1) (sin phi2))) (* (* (* (cos phi1) (sin phi2)) (* (cos phi1) (sin phi2))) (* (cos phi1) (sin phi2))) (sqrt (* (cos phi1) (sin phi2))) (sqrt (* (cos phi1) (sin phi2))) (* (sqrt (cos phi1)) (sqrt (sin phi2))) (* (sqrt (cos phi1)) (sqrt (sin phi2))) (* (cos phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (cos phi1) (sqrt (sin phi2))) (* (cos phi1) 1) (* (cbrt (cos phi1)) (sin phi2)) (* (sqrt (cos phi1)) (sin phi2)) (* (cos phi1) (sin phi2)) (+ (sin (- lambda1 lambda2)) (sin (+ lambda1 lambda2))) (* (sin lambda1) (cos lambda2)) (+ (log (sin lambda1)) (log (cos lambda2))) (log (* (sin lambda1) (cos lambda2))) (exp (* (sin lambda1) (cos lambda2))) (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (cos lambda2) (cos lambda2)) (cos lambda2))) (* (cbrt (* (sin lambda1) (cos lambda2))) (cbrt (* (sin lambda1) (cos lambda2)))) (cbrt (* (sin lambda1) (cos lambda2))) (* (* (* (sin lambda1) (cos lambda2)) (* (sin lambda1) (cos lambda2))) (* (sin lambda1) (cos lambda2))) (sqrt (* (sin lambda1) (cos lambda2))) (sqrt (* (sin lambda1) (cos lambda2))) (* (sqrt (sin lambda1)) (sqrt (cos lambda2))) (* (sqrt (sin lambda1)) (sqrt (cos lambda2))) (* (sin lambda1) (* (cbrt (cos lambda2)) (cbrt (cos lambda2)))) (* (sin lambda1) (sqrt (cos lambda2))) (* (sin lambda1) 1) (* (cbrt (sin lambda1)) (cos lambda2)) (* (sqrt (sin lambda1)) (cos lambda2)) (* (sin lambda1) (cos lambda2)) (* (* (sin phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (* (sin phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (+ (+ (log (sin phi1)) (log (cos phi2))) (log (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (+ (log (* (sin phi1) (cos phi2))) (log (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (log (* (* (sin phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (exp (* (* (sin phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (cos phi2) (cos phi2)) (cos phi2))) (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (* (* (* (sin phi1) (cos phi2)) (* (sin phi1) (cos phi2))) (* (sin phi1) (cos phi2))) (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (cbrt (* (* (sin phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (cbrt (* (* (sin phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (cbrt (* (* (sin phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (* (* (* (sin phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (* (sin phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (* (sin phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (sqrt (* (* (sin phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (sqrt (* (* (sin phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (+ (sin (- phi1 phi2)) (sin (+ phi1 phi2))) (+ (* (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2))) 2) (* 2 (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2)))))) (* 2 (* 2 2)) (* (+ (sin (- phi1 phi2)) (sin (+ phi1 phi2))) (+ (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3))) (* 2 (+ (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (- (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (+ (sin (- phi1 phi2)) (sin (+ phi1 phi2))) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (* 2 (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (* (sin phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (sin phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (cos lambda1) (cos lambda2)) (* (sin phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (sin phi1) (cos phi2))) (* (* (sin phi1) (cos phi2)) (* (cbrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (cbrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (* (sin phi1) (cos phi2)) (sqrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (* (sin phi1) (cos phi2)) 1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (* (sin phi1) (cos phi2)) (+ (* (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2))) 2) (* 2 (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2)))))) (* (* (sin phi1) (cos phi2)) (+ (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3))) (* (* (sin phi1) (cos phi2)) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (* (+ (sin (- phi1 phi2)) (sin (+ phi1 phi2))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* lambda2 lambda1) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (- phi2 (+ (* 1/2 (* phi2 (pow phi1 2))) (* 1/6 (pow phi2 3)))) (* (cos phi1) (sin phi2)) (* (cos phi1) (sin phi2)) (- lambda1 (+ (* 1/2 (* (pow lambda2 2) lambda1)) (* 1/6 (pow lambda1 3)))) (* (sin lambda1) (cos lambda2)) (* (sin lambda1) (cos lambda2)) phi1 (* (sin phi1) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi2))) (* (sin phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) 3.326 * * [simplify]: iteration 0 : 506 enodes (cost 785 ) 3.337 * * [simplify]: iteration 1 : 2326 enodes (cost 680 ) 3.383 * * [simplify]: iteration 2 : 5001 enodes (cost 679 ) 3.390 * [simplify]: Simplified to: (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (* (sin lambda1) (sin lambda2)) (log (* (sin lambda1) (sin lambda2))) (log (* (sin lambda1) (sin lambda2))) (exp (* (sin lambda1) (sin lambda2))) (pow (* (sin lambda1) (sin lambda2)) 3) (* (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (sin lambda1) (sin lambda2)))) (cbrt (* (sin lambda1) (sin lambda2))) (pow (* (sin lambda1) (sin lambda2)) 3) (sqrt (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (* (sin lambda1) (sqrt (sin lambda2))) (sin lambda1) (* (cbrt (sin lambda1)) (sin lambda2)) (* (sqrt (sin lambda1)) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (* (cos phi1) (sin phi2)) (log (* (cos phi1) (sin phi2))) (log (* (cos phi1) (sin phi2))) (exp (* (cos phi1) (sin phi2))) (pow (* (cos phi1) (sin phi2)) 3) (* (cbrt (* (cos phi1) (sin phi2))) (cbrt (* (cos phi1) (sin phi2)))) (cbrt (* (cos phi1) (sin phi2))) (pow (* (cos phi1) (sin phi2)) 3) (sqrt (* (cos phi1) (sin phi2))) (sqrt (* (cos phi1) (sin phi2))) (* (sqrt (cos phi1)) (sqrt (sin phi2))) (* (sqrt (cos phi1)) (sqrt (sin phi2))) (* (cos phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (cos phi1) (sqrt (sin phi2))) (cos phi1) (* (cbrt (cos phi1)) (sin phi2)) (* (sqrt (cos phi1)) (sin phi2)) (* (cos phi1) (sin phi2)) (+ (sin (- lambda1 lambda2)) (sin (+ lambda1 lambda2))) (* (sin lambda1) (cos lambda2)) (log (* (sin lambda1) (cos lambda2))) (log (* (sin lambda1) (cos lambda2))) (exp (* (sin lambda1) (cos lambda2))) (pow (* (sin lambda1) (cos lambda2)) 3) (* (cbrt (* (sin lambda1) (cos lambda2))) (cbrt (* (sin lambda1) (cos lambda2)))) (cbrt (* (sin lambda1) (cos lambda2))) (pow (* (sin lambda1) (cos lambda2)) 3) (sqrt (* (sin lambda1) (cos lambda2))) (sqrt (* (sin lambda1) (cos lambda2))) (* (sqrt (sin lambda1)) (sqrt (cos lambda2))) (* (sqrt (sin lambda1)) (sqrt (cos lambda2))) (* (sin lambda1) (* (cbrt (cos lambda2)) (cbrt (cos lambda2)))) (* (sin lambda1) (sqrt (cos lambda2))) (sin lambda1) (* (cbrt (sin lambda1)) (cos lambda2)) (* (sqrt (sin lambda1)) (cos lambda2)) (* (sin lambda1) (cos lambda2)) (* (* (sin phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (* (sin phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (log (* (* (sin phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (log (* (* (sin phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (log (* (* (sin phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (exp (* (* (sin phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (pow (* (* (sin phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) 3) (pow (* (* (sin phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) 3) (* (cbrt (* (* (sin phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (cbrt (* (* (sin phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (cbrt (* (* (sin phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (pow (* (* (sin phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) 3) (sqrt (* (* (sin phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (sqrt (* (* (sin phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (* (+ (sin (- phi1 phi2)) (sin (+ phi1 phi2))) 2) (+ (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2))) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))))) 8 (* (+ (sin (- phi1 phi2)) (sin (+ phi1 phi2))) (+ (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3))) (* (+ (* (* (sin lambda1) (sin lambda2)) (- (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2)))) 2) (* (+ (sin (- phi1 phi2)) (sin (+ phi1 phi2))) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (* 2 (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (* (sin phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (sin phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (sin phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (sin phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (sin phi1) (cos phi2)) (* (cbrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (cbrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (* (sin phi1) (cos phi2)) (sqrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin phi1) (cos phi2)) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (* (sin phi1) (cos phi2)) (* 2 (+ (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2)))))) (* (* (sin phi1) (cos phi2)) (+ (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3))) (* (* (sin phi1) (cos phi2)) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (* (+ (sin (- phi1 phi2)) (sin (+ phi1 phi2))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* lambda2 lambda1) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (- phi2 (+ (* 1/2 (* phi2 (pow phi1 2))) (* 1/6 (pow phi2 3)))) (* (cos phi1) (sin phi2)) (* (cos phi1) (sin phi2)) (- lambda1 (+ (* 1/2 (* (pow lambda2 2) lambda1)) (* 1/6 (pow lambda1 3)))) (* (sin lambda1) (cos lambda2)) (* (sin lambda1) (cos lambda2)) phi1 (* (* (sin phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (* (sin phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) 3.391 * * * [progress]: adding candidates to table 3.965 * [progress]: [Phase 3 of 3] Extracting. 3.965 * * [regime]: Finding splitpoints for: (# # # # # # # # # #) 3.977 * * * [regime-changes]: Trying 5 branch expressions: ((- lambda1 lambda2) phi2 phi1 lambda2 lambda1) 3.977 * * * * [regimes]: Trying to branch on (- lambda1 lambda2) from (# # # # # # # # # #) 4.104 * * * * [regimes]: Trying to branch on (- lambda1 lambda2) from (# # # #) 4.175 * * * * [regimes]: Trying to branch on phi2 from (# # # # # # # # # #) 4.297 * * * * [regimes]: Trying to branch on phi1 from (# # # # # # # # # #) 4.423 * * * * [regimes]: Trying to branch on lambda2 from (# # # # # # # # # #) 4.547 * * * * [regimes]: Trying to branch on lambda1 from (# # # # # # # # # #) 4.671 * * * [regime]: Found split indices: #