8.973 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.273 * * * [progress]: [2/2] Setting up program. 0.281 * [progress]: [Phase 2 of 3] Improving. 0.281 * [simplify]: Simplifying using # : (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) 0.283 * * [simplify]: iteration 0 : 35 enodes (cost 22 ) 0.284 * * [simplify]: iteration 1 : 56 enodes (cost 22 ) 0.286 * * [simplify]: iteration 2 : 59 enodes (cost 22 ) 0.287 * * [simplify]: iteration 3 : 59 enodes (cost 22 ) 0.287 * [simplify]: Simplified to: (+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) 0.288 * * [progress]: iteration 1 / 4 0.288 * * * [progress]: picking best candidate 0.296 * * * * [pick]: Picked # 0.296 * * * [progress]: localizing error 0.334 * * * [progress]: generating rewritten candidates 0.334 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 0.338 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 2 1) 0.339 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 2) 0.345 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 0.350 * * * [progress]: generating series expansions 0.350 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 0.351 * [approximate]: Approximating (- (cos delta) (+ (* (sin phi1) (* (cos phi1) (* (cos theta) (sin delta)))) (* (pow (sin phi1) 2) (cos delta)))) in (delta phi1 theta) around 0 0.354 * [taylor]: Taking taylor expansion of (- (cos delta) (+ (* (sin phi1) (* (cos phi1) (* (cos theta) (sin delta)))) (* (pow (sin phi1) 2) (cos delta)))) in phi1 0.355 * [taylor]: Taking taylor expansion of (- (cos delta) (+ (* (sin phi1) (* (cos phi1) (* (cos theta) (sin delta)))) (* (pow (sin phi1) 2) (cos delta)))) in theta 0.367 * [taylor]: Taking taylor expansion of (- (cos delta) (+ (* (sin phi1) (* (cos phi1) (* (cos theta) (sin delta)))) (* (pow (sin phi1) 2) (cos delta)))) in phi1 0.367 * [taylor]: Taking taylor expansion of (- (cos delta) (+ (* (sin phi1) (* (cos phi1) (* (cos theta) (sin delta)))) (* (pow (sin phi1) 2) (cos delta)))) in theta 0.368 * [taylor]: Taking taylor expansion of (- (cos delta) (+ (* (sin phi1) (* (cos phi1) (* (cos theta) (sin delta)))) (* (pow (sin phi1) 2) (cos delta)))) in theta 0.383 * [taylor]: Taking taylor expansion of (- (cos delta) (+ (* (sin phi1) (* (cos phi1) (* (cos theta) (sin delta)))) (* (pow (sin phi1) 2) (cos delta)))) in phi1 0.384 * [taylor]: Taking taylor expansion of (- (cos delta) (+ (* (sin phi1) (* (cos phi1) (* (cos theta) (sin delta)))) (* (pow (sin phi1) 2) (cos delta)))) in theta 0.388 * [taylor]: Taking taylor expansion of (- (cos delta) (+ (* (sin phi1) (* (cos phi1) (* (cos theta) (sin delta)))) (* (pow (sin phi1) 2) (cos delta)))) in theta 0.389 * [approximate]: Approximating (- (cos (/ 1 delta)) (+ (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (* (cos (/ 1 phi1)) (sin (/ 1 phi1))))) (* (pow (sin (/ 1 phi1)) 2) (cos (/ 1 delta))))) in (delta phi1 theta) around 0 0.397 * [taylor]: Taking taylor expansion of (- (cos (/ 1 delta)) (+ (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (* (cos (/ 1 phi1)) (sin (/ 1 phi1))))) (* (pow (sin (/ 1 phi1)) 2) (cos (/ 1 delta))))) in phi1 0.402 * [taylor]: Taking taylor expansion of (- (cos (/ 1 delta)) (+ (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (* (cos (/ 1 phi1)) (sin (/ 1 phi1))))) (* (pow (sin (/ 1 phi1)) 2) (cos (/ 1 delta))))) in theta 0.422 * [taylor]: Taking taylor expansion of (- (cos (/ 1 delta)) (+ (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (* (cos (/ 1 phi1)) (sin (/ 1 phi1))))) (* (pow (sin (/ 1 phi1)) 2) (cos (/ 1 delta))))) in phi1 0.422 * [taylor]: Taking taylor expansion of (- (cos (/ 1 delta)) (+ (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (* (cos (/ 1 phi1)) (sin (/ 1 phi1))))) (* (pow (sin (/ 1 phi1)) 2) (cos (/ 1 delta))))) in theta 0.433 * [taylor]: Taking taylor expansion of (- (cos (/ 1 delta)) (+ (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (* (cos (/ 1 phi1)) (sin (/ 1 phi1))))) (* (pow (sin (/ 1 phi1)) 2) (cos (/ 1 delta))))) in theta 0.462 * [taylor]: Taking taylor expansion of (- (cos (/ 1 delta)) (+ (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (* (cos (/ 1 phi1)) (sin (/ 1 phi1))))) (* (pow (sin (/ 1 phi1)) 2) (cos (/ 1 delta))))) in phi1 0.462 * [taylor]: Taking taylor expansion of (- (cos (/ 1 delta)) (+ (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (* (cos (/ 1 phi1)) (sin (/ 1 phi1))))) (* (pow (sin (/ 1 phi1)) 2) (cos (/ 1 delta))))) in theta 0.462 * [taylor]: Taking taylor expansion of (- (cos (/ 1 delta)) (+ (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (* (cos (/ 1 phi1)) (sin (/ 1 phi1))))) (* (pow (sin (/ 1 phi1)) 2) (cos (/ 1 delta))))) in theta 0.476 * [taylor]: Taking taylor expansion of (- (cos (/ 1 delta)) (+ (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (* (cos (/ 1 phi1)) (sin (/ 1 phi1))))) (* (pow (sin (/ 1 phi1)) 2) (cos (/ 1 delta))))) in theta 0.477 * [approximate]: Approximating (- (cos (/ -1 delta)) (+ (* (pow (sin (/ -1 phi1)) 2) (cos (/ -1 delta))) (* (sin (/ -1 phi1)) (* (cos (/ -1 theta)) (* (cos (/ -1 phi1)) (sin (/ -1 delta))))))) in (delta phi1 theta) around 0 0.486 * [taylor]: Taking taylor expansion of (- (cos (/ -1 delta)) (+ (* (pow (sin (/ -1 phi1)) 2) (cos (/ -1 delta))) (* (sin (/ -1 phi1)) (* (cos (/ -1 theta)) (* (cos (/ -1 phi1)) (sin (/ -1 delta))))))) in phi1 0.494 * [taylor]: Taking taylor expansion of (- (cos (/ -1 delta)) (+ (* (pow (sin (/ -1 phi1)) 2) (cos (/ -1 delta))) (* (sin (/ -1 phi1)) (* (cos (/ -1 theta)) (* (cos (/ -1 phi1)) (sin (/ -1 delta))))))) in theta 0.509 * [taylor]: Taking taylor expansion of (- (cos (/ -1 delta)) (+ (* (pow (sin (/ -1 phi1)) 2) (cos (/ -1 delta))) (* (sin (/ -1 phi1)) (* (cos (/ -1 theta)) (* (cos (/ -1 phi1)) (sin (/ -1 delta))))))) in phi1 0.510 * [taylor]: Taking taylor expansion of (- (cos (/ -1 delta)) (+ (* (pow (sin (/ -1 phi1)) 2) (cos (/ -1 delta))) (* (sin (/ -1 phi1)) (* (cos (/ -1 theta)) (* (cos (/ -1 phi1)) (sin (/ -1 delta))))))) in theta 0.520 * [taylor]: Taking taylor expansion of (- (cos (/ -1 delta)) (+ (* (pow (sin (/ -1 phi1)) 2) (cos (/ -1 delta))) (* (sin (/ -1 phi1)) (* (cos (/ -1 theta)) (* (cos (/ -1 phi1)) (sin (/ -1 delta))))))) in theta 0.549 * [taylor]: Taking taylor expansion of (- (cos (/ -1 delta)) (+ (* (pow (sin (/ -1 phi1)) 2) (cos (/ -1 delta))) (* (sin (/ -1 phi1)) (* (cos (/ -1 theta)) (* (cos (/ -1 phi1)) (sin (/ -1 delta))))))) in phi1 0.549 * [taylor]: Taking taylor expansion of (- (cos (/ -1 delta)) (+ (* (pow (sin (/ -1 phi1)) 2) (cos (/ -1 delta))) (* (sin (/ -1 phi1)) (* (cos (/ -1 theta)) (* (cos (/ -1 phi1)) (sin (/ -1 delta))))))) in theta 0.549 * [taylor]: Taking taylor expansion of (- (cos (/ -1 delta)) (+ (* (pow (sin (/ -1 phi1)) 2) (cos (/ -1 delta))) (* (sin (/ -1 phi1)) (* (cos (/ -1 theta)) (* (cos (/ -1 phi1)) (sin (/ -1 delta))))))) in theta 0.564 * [taylor]: Taking taylor expansion of (- (cos (/ -1 delta)) (+ (* (pow (sin (/ -1 phi1)) 2) (cos (/ -1 delta))) (* (sin (/ -1 phi1)) (* (cos (/ -1 theta)) (* (cos (/ -1 phi1)) (sin (/ -1 delta))))))) in theta 0.565 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 2 1) 0.565 * [approximate]: Approximating (asin (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) in (phi1 delta theta) around 0 0.566 * [taylor]: Taking taylor expansion of (asin (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) in delta 0.566 * [taylor]: Taking taylor expansion of (asin (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) in theta 0.566 * [taylor]: Taking taylor expansion of (asin (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) in delta 0.566 * [taylor]: Taking taylor expansion of (asin (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) in theta 0.566 * [taylor]: Taking taylor expansion of (asin (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) in theta 0.566 * [taylor]: Taking taylor expansion of (asin (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) in delta 0.566 * [taylor]: Taking taylor expansion of (asin (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) in theta 0.566 * [taylor]: Taking taylor expansion of (asin (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) in theta 0.566 * [taylor]: Taking taylor expansion of (asin (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) in theta 0.567 * [approximate]: Approximating (asin (+ (* (sin (/ 1 phi1)) (cos (/ 1 delta))) (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (cos (/ 1 phi1)))))) in (phi1 delta theta) around 0 0.567 * [taylor]: Taking taylor expansion of (asin (+ (* (sin (/ 1 phi1)) (cos (/ 1 delta))) (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (cos (/ 1 phi1)))))) in delta 0.568 * [taylor]: Taking taylor expansion of (asin (+ (* (sin (/ 1 phi1)) (cos (/ 1 delta))) (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (cos (/ 1 phi1)))))) in theta 0.568 * [taylor]: Taking taylor expansion of (asin (+ (* (sin (/ 1 phi1)) (cos (/ 1 delta))) (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (cos (/ 1 phi1)))))) in delta 0.568 * [taylor]: Taking taylor expansion of (asin (+ (* (sin (/ 1 phi1)) (cos (/ 1 delta))) (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (cos (/ 1 phi1)))))) in theta 0.568 * [taylor]: Taking taylor expansion of (asin (+ (* (sin (/ 1 phi1)) (cos (/ 1 delta))) (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (cos (/ 1 phi1)))))) in theta 0.568 * [taylor]: Taking taylor expansion of (asin (+ (* (sin (/ 1 phi1)) (cos (/ 1 delta))) (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (cos (/ 1 phi1)))))) in delta 0.568 * [taylor]: Taking taylor expansion of (asin (+ (* (sin (/ 1 phi1)) (cos (/ 1 delta))) (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (cos (/ 1 phi1)))))) in theta 0.568 * [taylor]: Taking taylor expansion of (asin (+ (* (sin (/ 1 phi1)) (cos (/ 1 delta))) (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (cos (/ 1 phi1)))))) in theta 0.568 * [taylor]: Taking taylor expansion of (asin (+ (* (sin (/ 1 phi1)) (cos (/ 1 delta))) (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (cos (/ 1 phi1)))))) in theta 0.569 * [approximate]: Approximating (asin (+ (* (sin (/ -1 phi1)) (cos (/ -1 delta))) (* (cos (/ -1 phi1)) (* (cos (/ -1 theta)) (sin (/ -1 delta)))))) in (phi1 delta theta) around 0 0.570 * [taylor]: Taking taylor expansion of (asin (+ (* (sin (/ -1 phi1)) (cos (/ -1 delta))) (* (cos (/ -1 phi1)) (* (cos (/ -1 theta)) (sin (/ -1 delta)))))) in delta 0.570 * [taylor]: Taking taylor expansion of (asin (+ (* (sin (/ -1 phi1)) (cos (/ -1 delta))) (* (cos (/ -1 phi1)) (* (cos (/ -1 theta)) (sin (/ -1 delta)))))) in theta 0.570 * [taylor]: Taking taylor expansion of (asin (+ (* (sin (/ -1 phi1)) (cos (/ -1 delta))) (* (cos (/ -1 phi1)) (* (cos (/ -1 theta)) (sin (/ -1 delta)))))) in delta 0.570 * [taylor]: Taking taylor expansion of (asin (+ (* (sin (/ -1 phi1)) (cos (/ -1 delta))) (* (cos (/ -1 phi1)) (* (cos (/ -1 theta)) (sin (/ -1 delta)))))) in theta 0.571 * [taylor]: Taking taylor expansion of (asin (+ (* (sin (/ -1 phi1)) (cos (/ -1 delta))) (* (cos (/ -1 phi1)) (* (cos (/ -1 theta)) (sin (/ -1 delta)))))) in theta 0.571 * [taylor]: Taking taylor expansion of (asin (+ (* (sin (/ -1 phi1)) (cos (/ -1 delta))) (* (cos (/ -1 phi1)) (* (cos (/ -1 theta)) (sin (/ -1 delta)))))) in delta 0.571 * [taylor]: Taking taylor expansion of (asin (+ (* (sin (/ -1 phi1)) (cos (/ -1 delta))) (* (cos (/ -1 phi1)) (* (cos (/ -1 theta)) (sin (/ -1 delta)))))) in theta 0.571 * [taylor]: Taking taylor expansion of (asin (+ (* (sin (/ -1 phi1)) (cos (/ -1 delta))) (* (cos (/ -1 phi1)) (* (cos (/ -1 theta)) (sin (/ -1 delta)))))) in theta 0.571 * [taylor]: Taking taylor expansion of (asin (+ (* (sin (/ -1 phi1)) (cos (/ -1 delta))) (* (cos (/ -1 phi1)) (* (cos (/ -1 theta)) (sin (/ -1 delta)))))) in theta 0.571 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 2) 0.571 * [approximate]: Approximating (* (sin phi1) (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) in (phi1 delta theta) around 0 0.576 * [taylor]: Taking taylor expansion of (* (sin phi1) (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) in delta 0.576 * [taylor]: Taking taylor expansion of (* (sin phi1) (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) in theta 0.585 * [taylor]: Taking taylor expansion of (* (sin phi1) (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) in delta 0.586 * [taylor]: Taking taylor expansion of (* (sin phi1) (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) in theta 0.586 * [taylor]: Taking taylor expansion of (* (sin phi1) (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) in theta 0.598 * [taylor]: Taking taylor expansion of (* (sin phi1) (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) in delta 0.598 * [taylor]: Taking taylor expansion of (* (sin phi1) (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) in theta 0.601 * [taylor]: Taking taylor expansion of (* (sin phi1) (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) in theta 0.601 * [taylor]: Taking taylor expansion of (* (sin phi1) (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) in theta 0.617 * [taylor]: Taking taylor expansion of (* (sin phi1) (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) in delta 0.618 * [taylor]: Taking taylor expansion of (* (sin phi1) (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) in theta 0.619 * [taylor]: Taking taylor expansion of (* (sin phi1) (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) in theta 0.620 * [approximate]: Approximating (* (+ (* (sin (/ 1 phi1)) (cos (/ 1 delta))) (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (cos (/ 1 phi1))))) (sin (/ 1 phi1))) in (phi1 delta theta) around 0 0.626 * [taylor]: Taking taylor expansion of (* (+ (* (sin (/ 1 phi1)) (cos (/ 1 delta))) (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (cos (/ 1 phi1))))) (sin (/ 1 phi1))) in delta 0.628 * [taylor]: Taking taylor expansion of (* (+ (* (sin (/ 1 phi1)) (cos (/ 1 delta))) (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (cos (/ 1 phi1))))) (sin (/ 1 phi1))) in theta 0.639 * [taylor]: Taking taylor expansion of (* (+ (* (sin (/ 1 phi1)) (cos (/ 1 delta))) (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (cos (/ 1 phi1))))) (sin (/ 1 phi1))) in delta 0.639 * [taylor]: Taking taylor expansion of (* (+ (* (sin (/ 1 phi1)) (cos (/ 1 delta))) (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (cos (/ 1 phi1))))) (sin (/ 1 phi1))) in theta 0.649 * [taylor]: Taking taylor expansion of (* (+ (* (sin (/ 1 phi1)) (cos (/ 1 delta))) (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (cos (/ 1 phi1))))) (sin (/ 1 phi1))) in theta 0.675 * [taylor]: Taking taylor expansion of (* (+ (* (sin (/ 1 phi1)) (cos (/ 1 delta))) (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (cos (/ 1 phi1))))) (sin (/ 1 phi1))) in delta 0.675 * [taylor]: Taking taylor expansion of (* (+ (* (sin (/ 1 phi1)) (cos (/ 1 delta))) (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (cos (/ 1 phi1))))) (sin (/ 1 phi1))) in theta 0.675 * [taylor]: Taking taylor expansion of (* (+ (* (sin (/ 1 phi1)) (cos (/ 1 delta))) (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (cos (/ 1 phi1))))) (sin (/ 1 phi1))) in theta 0.688 * [taylor]: Taking taylor expansion of (* (+ (* (sin (/ 1 phi1)) (cos (/ 1 delta))) (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (cos (/ 1 phi1))))) (sin (/ 1 phi1))) in theta 0.689 * [approximate]: Approximating (* (sin (/ -1 phi1)) (+ (* (sin (/ -1 phi1)) (cos (/ -1 delta))) (* (cos (/ -1 phi1)) (* (cos (/ -1 theta)) (sin (/ -1 delta)))))) in (phi1 delta theta) around 0 0.695 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (+ (* (sin (/ -1 phi1)) (cos (/ -1 delta))) (* (cos (/ -1 phi1)) (* (cos (/ -1 theta)) (sin (/ -1 delta)))))) in delta 0.698 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (+ (* (sin (/ -1 phi1)) (cos (/ -1 delta))) (* (cos (/ -1 phi1)) (* (cos (/ -1 theta)) (sin (/ -1 delta)))))) in theta 0.709 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (+ (* (sin (/ -1 phi1)) (cos (/ -1 delta))) (* (cos (/ -1 phi1)) (* (cos (/ -1 theta)) (sin (/ -1 delta)))))) in delta 0.709 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (+ (* (sin (/ -1 phi1)) (cos (/ -1 delta))) (* (cos (/ -1 phi1)) (* (cos (/ -1 theta)) (sin (/ -1 delta)))))) in theta 0.719 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (+ (* (sin (/ -1 phi1)) (cos (/ -1 delta))) (* (cos (/ -1 phi1)) (* (cos (/ -1 theta)) (sin (/ -1 delta)))))) in theta 0.744 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (+ (* (sin (/ -1 phi1)) (cos (/ -1 delta))) (* (cos (/ -1 phi1)) (* (cos (/ -1 theta)) (sin (/ -1 delta)))))) in delta 0.744 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (+ (* (sin (/ -1 phi1)) (cos (/ -1 delta))) (* (cos (/ -1 phi1)) (* (cos (/ -1 theta)) (sin (/ -1 delta)))))) in theta 0.744 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (+ (* (sin (/ -1 phi1)) (cos (/ -1 delta))) (* (cos (/ -1 phi1)) (* (cos (/ -1 theta)) (sin (/ -1 delta)))))) in theta 0.758 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (+ (* (sin (/ -1 phi1)) (cos (/ -1 delta))) (* (cos (/ -1 phi1)) (* (cos (/ -1 theta)) (sin (/ -1 delta)))))) in theta 0.758 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 0.758 * [approximate]: Approximating (* (sin delta) (sin theta)) in (theta delta) around 0 0.759 * [taylor]: Taking taylor expansion of (* (sin delta) (sin theta)) in delta 0.761 * [taylor]: Taking taylor expansion of (* (sin delta) (sin theta)) in delta 0.765 * [taylor]: Taking taylor expansion of (* (sin delta) (sin theta)) in delta 0.770 * [taylor]: Taking taylor expansion of (* (sin delta) (sin theta)) in delta 0.777 * [taylor]: Taking taylor expansion of (* (sin delta) (sin theta)) in delta 0.778 * [approximate]: Approximating (* (sin (/ 1 delta)) (sin (/ 1 theta))) in (theta delta) around 0 0.779 * [taylor]: Taking taylor expansion of (* (sin (/ 1 delta)) (sin (/ 1 theta))) in delta 0.782 * [taylor]: Taking taylor expansion of (* (sin (/ 1 delta)) (sin (/ 1 theta))) in delta 0.787 * [taylor]: Taking taylor expansion of (* (sin (/ 1 delta)) (sin (/ 1 theta))) in delta 0.794 * [taylor]: Taking taylor expansion of (* (sin (/ 1 delta)) (sin (/ 1 theta))) in delta 0.795 * [approximate]: Approximating (* (sin (/ -1 theta)) (sin (/ -1 delta))) in (theta delta) around 0 0.796 * [taylor]: Taking taylor expansion of (* (sin (/ -1 theta)) (sin (/ -1 delta))) in delta 0.799 * [taylor]: Taking taylor expansion of (* (sin (/ -1 theta)) (sin (/ -1 delta))) in delta 0.805 * [taylor]: Taking taylor expansion of (* (sin (/ -1 theta)) (sin (/ -1 delta))) in delta 0.812 * [taylor]: Taking taylor expansion of (* (sin (/ -1 theta)) (sin (/ -1 delta))) in delta 0.812 * * * [progress]: simplifying candidates 0.813 * [simplify]: Simplifying using # : (/ (exp (cos delta)) (exp (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (log (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (exp (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (* (cbrt (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (cbrt (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (cbrt (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (* (* (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (sqrt (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (sqrt (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (- (pow (cos delta) 3) (pow (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) 3)) (+ (* (cos delta) (cos delta)) (+ (* (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (* (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (neg (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (- (* (cos delta) (cos delta)) (* (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (+ (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (neg (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (/ PI 2) (acos (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))) (log (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))) (exp (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))) (* (cbrt (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))) (cbrt (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (cbrt (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))) (* (* (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))) (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))) (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))) (sqrt (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))) (sqrt (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))) (- (cos (- phi1 (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (cos (+ phi1 (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (+ (log (sin phi1)) (log (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (log (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (exp (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (* (cbrt (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cbrt (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (cbrt (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (* (* (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (sqrt (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (sqrt (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (* (sqrt (sin phi1)) (sqrt (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (* (sqrt (sin phi1)) (sqrt (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (* (sin phi1) (* (cbrt (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (cbrt (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (* (sin phi1) (sqrt (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (* (sin phi1) 1) (* (cbrt (sin phi1)) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (* (sqrt (sin phi1)) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (- (cos (- theta delta)) (cos (+ theta delta))) (* (sin theta) (sin delta)) (+ (log (sin theta)) (log (sin delta))) (log (* (sin theta) (sin delta))) (exp (* (sin theta) (sin delta))) (* (* (* (sin theta) (sin theta)) (sin theta)) (* (* (sin delta) (sin delta)) (sin delta))) (* (cbrt (* (sin theta) (sin delta))) (cbrt (* (sin theta) (sin delta)))) (cbrt (* (sin theta) (sin delta))) (* (* (* (sin theta) (sin delta)) (* (sin theta) (sin delta))) (* (sin theta) (sin delta))) (sqrt (* (sin theta) (sin delta))) (sqrt (* (sin theta) (sin delta))) (* (sqrt (sin theta)) (sqrt (sin delta))) (* (sqrt (sin theta)) (sqrt (sin delta))) (* (sin theta) (* (cbrt (sin delta)) (cbrt (sin delta)))) (* (sin theta) (sqrt (sin delta))) (* (sin theta) 1) (* (cbrt (sin theta)) (sin delta)) (* (sqrt (sin theta)) (sin delta)) (* (sin theta) (sin delta)) (- 1 (+ (* 1/2 (pow delta 2)) (* delta phi1))) (- (cos delta) (+ (* (pow (sin phi1) 2) (cos delta)) (* (sin delta) (* (cos phi1) (* (cos theta) (sin phi1)))))) (- (cos delta) (+ (* (pow (sin phi1) 2) (cos delta)) (* (sin phi1) (* (cos phi1) (* (cos theta) (sin delta)))))) (asin (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) (asin (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) (asin (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) (+ (pow phi1 2) (* delta phi1)) (* (sin phi1) (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) (* (sin phi1) (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) (* delta theta) (* (sin delta) (sin theta)) (* (sin delta) (sin theta)) 0.819 * * [simplify]: iteration 0 : 289 enodes (cost 930 ) 0.823 * * [simplify]: iteration 1 : 894 enodes (cost 837 ) 0.841 * * [simplify]: iteration 2 : 3513 enodes (cost 835 ) 0.900 * * [simplify]: iteration 3 : 5002 enodes (cost 835 ) 0.907 * [simplify]: Simplified to: (exp (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (log (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (exp (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (* (cbrt (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (cbrt (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (cbrt (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (pow (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) 3) (sqrt (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (sqrt (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (- (pow (cos delta) 3) (pow (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) 3)) (+ (* (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (+ (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (cos delta))) (* (cos delta) (cos delta))) (neg (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (- (* (cos delta) (cos delta)) (* (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (+ (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (neg (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (/ PI 2) (acos (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))) (log (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))) (exp (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))) (* (cbrt (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))) (cbrt (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (cbrt (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))) (pow (asin (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) 3) (sqrt (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))) (sqrt (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))) (- (cos (- phi1 (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (cos (+ phi1 (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (log (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (log (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (exp (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (pow (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) 3) (* (cbrt (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cbrt (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (cbrt (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (pow (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) 3) (sqrt (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (sqrt (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (* (sqrt (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (pow (sin phi1) 1/2)) (* (sqrt (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (pow (sin phi1) 1/2)) (* (sin phi1) (* (cbrt (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (cbrt (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (* (sin phi1) (sqrt (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (sin phi1) (* (cbrt (sin phi1)) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (* (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))) (pow (sin phi1) 1/2)) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (- (cos (- theta delta)) (cos (+ theta delta))) (* (sin theta) (sin delta)) (log (* (sin theta) (sin delta))) (log (* (sin theta) (sin delta))) (exp (* (sin theta) (sin delta))) (pow (* (sin theta) (sin delta)) 3) (* (cbrt (* (sin theta) (sin delta))) (cbrt (* (sin theta) (sin delta)))) (cbrt (* (sin theta) (sin delta))) (pow (* (sin theta) (sin delta)) 3) (sqrt (* (sin theta) (sin delta))) (sqrt (* (sin theta) (sin delta))) (* (sqrt (sin theta)) (sqrt (sin delta))) (* (sqrt (sin theta)) (sqrt (sin delta))) (* (sin theta) (* (cbrt (sin delta)) (cbrt (sin delta)))) (* (sin theta) (sqrt (sin delta))) (sin theta) (* (cbrt (sin theta)) (sin delta)) (* (sqrt (sin theta)) (sin delta)) (* (sin theta) (sin delta)) (- 1 (+ (* 1/2 (pow delta 2)) (* delta phi1))) (- (cos delta) (* (sin phi1) (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta))))) (- (cos delta) (* (sin phi1) (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta))))) (asin (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) (asin (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) (asin (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) (* phi1 (+ delta phi1)) (* (sin phi1) (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) (* (sin phi1) (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) (* delta theta) (* (sin theta) (sin delta)) (* (sin theta) (sin delta)) 0.907 * * * [progress]: adding candidates to table 1.327 * * [progress]: iteration 2 / 4 1.327 * * * [progress]: picking best candidate 1.408 * * * * [pick]: Picked # 1.408 * * * [progress]: localizing error 1.455 * * * [progress]: generating rewritten candidates 1.456 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 2) 1.461 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 1) 1.464 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 2 1 2 1 2 1) 1.465 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 2 1 1 2 1) 1.468 * * * [progress]: generating series expansions 1.468 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 2) 1.468 * [approximate]: Approximating (pow (* (sin phi1) (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) 3) in (phi1 delta theta) around 0 1.492 * [taylor]: Taking taylor expansion of (pow (* (sin phi1) (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) 3) in delta 1.505 * [taylor]: Taking taylor expansion of (pow (* (sin phi1) (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) 3) in delta 1.529 * [taylor]: Taking taylor expansion of (pow (* (sin phi1) (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) 3) in delta 1.533 * [taylor]: Taking taylor expansion of (pow (* (sin phi1) (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) 3) in theta 1.555 * [taylor]: Taking taylor expansion of (pow (* (sin phi1) (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) 3) in delta 1.558 * [taylor]: Taking taylor expansion of (pow (* (sin phi1) (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) 3) in theta 1.568 * [taylor]: Taking taylor expansion of (pow (* (sin phi1) (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) 3) in theta 1.569 * [taylor]: Taking taylor expansion of (pow (* (sin phi1) (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) 3) in theta 1.571 * [approximate]: Approximating (pow (* (+ (* (sin (/ 1 phi1)) (cos (/ 1 delta))) (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (cos (/ 1 phi1))))) (sin (/ 1 phi1))) 3) in (phi1 delta theta) around 0 1.583 * [taylor]: Taking taylor expansion of (pow (* (+ (* (sin (/ 1 phi1)) (cos (/ 1 delta))) (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (cos (/ 1 phi1))))) (sin (/ 1 phi1))) 3) in delta 1.587 * [taylor]: Taking taylor expansion of (pow (* (+ (* (sin (/ 1 phi1)) (cos (/ 1 delta))) (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (cos (/ 1 phi1))))) (sin (/ 1 phi1))) 3) in theta 1.603 * [taylor]: Taking taylor expansion of (pow (* (+ (* (sin (/ 1 phi1)) (cos (/ 1 delta))) (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (cos (/ 1 phi1))))) (sin (/ 1 phi1))) 3) in delta 1.604 * [taylor]: Taking taylor expansion of (pow (* (+ (* (sin (/ 1 phi1)) (cos (/ 1 delta))) (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (cos (/ 1 phi1))))) (sin (/ 1 phi1))) 3) in theta 1.615 * [taylor]: Taking taylor expansion of (pow (* (+ (* (sin (/ 1 phi1)) (cos (/ 1 delta))) (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (cos (/ 1 phi1))))) (sin (/ 1 phi1))) 3) in theta 1.640 * [taylor]: Taking taylor expansion of (pow (* (+ (* (sin (/ 1 phi1)) (cos (/ 1 delta))) (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (cos (/ 1 phi1))))) (sin (/ 1 phi1))) 3) in delta 1.641 * [taylor]: Taking taylor expansion of (pow (* (+ (* (sin (/ 1 phi1)) (cos (/ 1 delta))) (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (cos (/ 1 phi1))))) (sin (/ 1 phi1))) 3) in theta 1.641 * [taylor]: Taking taylor expansion of (pow (* (+ (* (sin (/ 1 phi1)) (cos (/ 1 delta))) (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (cos (/ 1 phi1))))) (sin (/ 1 phi1))) 3) in theta 1.657 * [taylor]: Taking taylor expansion of (pow (* (+ (* (sin (/ 1 phi1)) (cos (/ 1 delta))) (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (cos (/ 1 phi1))))) (sin (/ 1 phi1))) 3) in theta 1.657 * [approximate]: Approximating (pow (* (sin (/ -1 phi1)) (+ (* (sin (/ -1 phi1)) (cos (/ -1 delta))) (* (cos (/ -1 phi1)) (* (cos (/ -1 theta)) (sin (/ -1 delta)))))) 3) in (phi1 delta theta) around 0 1.670 * [taylor]: Taking taylor expansion of (pow (* (sin (/ -1 phi1)) (+ (* (sin (/ -1 phi1)) (cos (/ -1 delta))) (* (cos (/ -1 phi1)) (* (cos (/ -1 theta)) (sin (/ -1 delta)))))) 3) in delta 1.677 * [taylor]: Taking taylor expansion of (pow (* (sin (/ -1 phi1)) (+ (* (sin (/ -1 phi1)) (cos (/ -1 delta))) (* (cos (/ -1 phi1)) (* (cos (/ -1 theta)) (sin (/ -1 delta)))))) 3) in theta 1.690 * [taylor]: Taking taylor expansion of (pow (* (sin (/ -1 phi1)) (+ (* (sin (/ -1 phi1)) (cos (/ -1 delta))) (* (cos (/ -1 phi1)) (* (cos (/ -1 theta)) (sin (/ -1 delta)))))) 3) in delta 1.690 * [taylor]: Taking taylor expansion of (pow (* (sin (/ -1 phi1)) (+ (* (sin (/ -1 phi1)) (cos (/ -1 delta))) (* (cos (/ -1 phi1)) (* (cos (/ -1 theta)) (sin (/ -1 delta)))))) 3) in theta 1.701 * [taylor]: Taking taylor expansion of (pow (* (sin (/ -1 phi1)) (+ (* (sin (/ -1 phi1)) (cos (/ -1 delta))) (* (cos (/ -1 phi1)) (* (cos (/ -1 theta)) (sin (/ -1 delta)))))) 3) in theta 1.727 * [taylor]: Taking taylor expansion of (pow (* (sin (/ -1 phi1)) (+ (* (sin (/ -1 phi1)) (cos (/ -1 delta))) (* (cos (/ -1 phi1)) (* (cos (/ -1 theta)) (sin (/ -1 delta)))))) 3) in delta 1.727 * [taylor]: Taking taylor expansion of (pow (* (sin (/ -1 phi1)) (+ (* (sin (/ -1 phi1)) (cos (/ -1 delta))) (* (cos (/ -1 phi1)) (* (cos (/ -1 theta)) (sin (/ -1 delta)))))) 3) in theta 1.727 * [taylor]: Taking taylor expansion of (pow (* (sin (/ -1 phi1)) (+ (* (sin (/ -1 phi1)) (cos (/ -1 delta))) (* (cos (/ -1 phi1)) (* (cos (/ -1 theta)) (sin (/ -1 delta)))))) 3) in theta 1.743 * [taylor]: Taking taylor expansion of (pow (* (sin (/ -1 phi1)) (+ (* (sin (/ -1 phi1)) (cos (/ -1 delta))) (* (cos (/ -1 phi1)) (* (cos (/ -1 theta)) (sin (/ -1 delta)))))) 3) in theta 1.743 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 1) 1.744 * [approximate]: Approximating (pow (cos delta) 3) in (delta) around 0 1.757 * [approximate]: Approximating (pow (cos (/ 1 delta)) 3) in (delta) around 0 1.770 * [approximate]: Approximating (pow (cos (/ -1 delta)) 3) in (delta) around 0 1.782 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 2 1 2 1 2 1) 1.783 * [approximate]: Approximating (asin (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) in (phi1 delta theta) around 0 1.783 * [taylor]: Taking taylor expansion of (asin (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) in delta 1.783 * [taylor]: Taking taylor expansion of (asin (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) in theta 1.784 * [taylor]: Taking taylor expansion of (asin (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) in delta 1.784 * [taylor]: Taking taylor expansion of (asin (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) in theta 1.784 * [taylor]: Taking taylor expansion of (asin (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) in theta 1.784 * [taylor]: Taking taylor expansion of (asin (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) in delta 1.784 * [taylor]: Taking taylor expansion of (asin (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) in theta 1.784 * [taylor]: Taking taylor expansion of (asin (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) in theta 1.784 * [taylor]: Taking taylor expansion of (asin (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) in theta 1.785 * [approximate]: Approximating (asin (+ (* (sin (/ 1 phi1)) (cos (/ 1 delta))) (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (cos (/ 1 phi1)))))) in (phi1 delta theta) around 0 1.785 * [taylor]: Taking taylor expansion of (asin (+ (* (sin (/ 1 phi1)) (cos (/ 1 delta))) (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (cos (/ 1 phi1)))))) in delta 1.786 * [taylor]: Taking taylor expansion of (asin (+ (* (sin (/ 1 phi1)) (cos (/ 1 delta))) (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (cos (/ 1 phi1)))))) in theta 1.786 * [taylor]: Taking taylor expansion of (asin (+ (* (sin (/ 1 phi1)) (cos (/ 1 delta))) (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (cos (/ 1 phi1)))))) in delta 1.786 * [taylor]: Taking taylor expansion of (asin (+ (* (sin (/ 1 phi1)) (cos (/ 1 delta))) (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (cos (/ 1 phi1)))))) in theta 1.786 * [taylor]: Taking taylor expansion of (asin (+ (* (sin (/ 1 phi1)) (cos (/ 1 delta))) (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (cos (/ 1 phi1)))))) in theta 1.786 * [taylor]: Taking taylor expansion of (asin (+ (* (sin (/ 1 phi1)) (cos (/ 1 delta))) (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (cos (/ 1 phi1)))))) in delta 1.786 * [taylor]: Taking taylor expansion of (asin (+ (* (sin (/ 1 phi1)) (cos (/ 1 delta))) (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (cos (/ 1 phi1)))))) in theta 1.786 * [taylor]: Taking taylor expansion of (asin (+ (* (sin (/ 1 phi1)) (cos (/ 1 delta))) (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (cos (/ 1 phi1)))))) in theta 1.786 * [taylor]: Taking taylor expansion of (asin (+ (* (sin (/ 1 phi1)) (cos (/ 1 delta))) (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (cos (/ 1 phi1)))))) in theta 1.787 * [approximate]: Approximating (asin (+ (* (sin (/ -1 phi1)) (cos (/ -1 delta))) (* (cos (/ -1 phi1)) (* (cos (/ -1 theta)) (sin (/ -1 delta)))))) in (phi1 delta theta) around 0 1.788 * [taylor]: Taking taylor expansion of (asin (+ (* (sin (/ -1 phi1)) (cos (/ -1 delta))) (* (cos (/ -1 phi1)) (* (cos (/ -1 theta)) (sin (/ -1 delta)))))) in delta 1.788 * [taylor]: Taking taylor expansion of (asin (+ (* (sin (/ -1 phi1)) (cos (/ -1 delta))) (* (cos (/ -1 phi1)) (* (cos (/ -1 theta)) (sin (/ -1 delta)))))) in theta 1.788 * [taylor]: Taking taylor expansion of (asin (+ (* (sin (/ -1 phi1)) (cos (/ -1 delta))) (* (cos (/ -1 phi1)) (* (cos (/ -1 theta)) (sin (/ -1 delta)))))) in delta 1.788 * [taylor]: Taking taylor expansion of (asin (+ (* (sin (/ -1 phi1)) (cos (/ -1 delta))) (* (cos (/ -1 phi1)) (* (cos (/ -1 theta)) (sin (/ -1 delta)))))) in theta 1.789 * [taylor]: Taking taylor expansion of (asin (+ (* (sin (/ -1 phi1)) (cos (/ -1 delta))) (* (cos (/ -1 phi1)) (* (cos (/ -1 theta)) (sin (/ -1 delta)))))) in theta 1.789 * [taylor]: Taking taylor expansion of (asin (+ (* (sin (/ -1 phi1)) (cos (/ -1 delta))) (* (cos (/ -1 phi1)) (* (cos (/ -1 theta)) (sin (/ -1 delta)))))) in delta 1.789 * [taylor]: Taking taylor expansion of (asin (+ (* (sin (/ -1 phi1)) (cos (/ -1 delta))) (* (cos (/ -1 phi1)) (* (cos (/ -1 theta)) (sin (/ -1 delta)))))) in theta 1.789 * [taylor]: Taking taylor expansion of (asin (+ (* (sin (/ -1 phi1)) (cos (/ -1 delta))) (* (cos (/ -1 phi1)) (* (cos (/ -1 theta)) (sin (/ -1 delta)))))) in theta 1.789 * [taylor]: Taking taylor expansion of (asin (+ (* (sin (/ -1 phi1)) (cos (/ -1 delta))) (* (cos (/ -1 phi1)) (* (cos (/ -1 theta)) (sin (/ -1 delta)))))) in theta 1.789 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 2 1 1 2 1) 1.789 * [approximate]: Approximating (asin (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) in (phi1 delta theta) around 0 1.790 * [taylor]: Taking taylor expansion of (asin (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) in delta 1.790 * [taylor]: Taking taylor expansion of (asin (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) in theta 1.790 * [taylor]: Taking taylor expansion of (asin (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) in delta 1.790 * [taylor]: Taking taylor expansion of (asin (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) in theta 1.790 * [taylor]: Taking taylor expansion of (asin (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) in theta 1.791 * [taylor]: Taking taylor expansion of (asin (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) in delta 1.791 * [taylor]: Taking taylor expansion of (asin (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) in theta 1.791 * [taylor]: Taking taylor expansion of (asin (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) in theta 1.791 * [taylor]: Taking taylor expansion of (asin (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) in theta 1.791 * [approximate]: Approximating (asin (+ (* (sin (/ 1 phi1)) (cos (/ 1 delta))) (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (cos (/ 1 phi1)))))) in (phi1 delta theta) around 0 1.792 * [taylor]: Taking taylor expansion of (asin (+ (* (sin (/ 1 phi1)) (cos (/ 1 delta))) (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (cos (/ 1 phi1)))))) in delta 1.792 * [taylor]: Taking taylor expansion of (asin (+ (* (sin (/ 1 phi1)) (cos (/ 1 delta))) (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (cos (/ 1 phi1)))))) in theta 1.793 * [taylor]: Taking taylor expansion of (asin (+ (* (sin (/ 1 phi1)) (cos (/ 1 delta))) (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (cos (/ 1 phi1)))))) in delta 1.793 * [taylor]: Taking taylor expansion of (asin (+ (* (sin (/ 1 phi1)) (cos (/ 1 delta))) (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (cos (/ 1 phi1)))))) in theta 1.793 * [taylor]: Taking taylor expansion of (asin (+ (* (sin (/ 1 phi1)) (cos (/ 1 delta))) (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (cos (/ 1 phi1)))))) in theta 1.793 * [taylor]: Taking taylor expansion of (asin (+ (* (sin (/ 1 phi1)) (cos (/ 1 delta))) (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (cos (/ 1 phi1)))))) in delta 1.793 * [taylor]: Taking taylor expansion of (asin (+ (* (sin (/ 1 phi1)) (cos (/ 1 delta))) (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (cos (/ 1 phi1)))))) in theta 1.793 * [taylor]: Taking taylor expansion of (asin (+ (* (sin (/ 1 phi1)) (cos (/ 1 delta))) (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (cos (/ 1 phi1)))))) in theta 1.793 * [taylor]: Taking taylor expansion of (asin (+ (* (sin (/ 1 phi1)) (cos (/ 1 delta))) (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (cos (/ 1 phi1)))))) in theta 1.793 * [approximate]: Approximating (asin (+ (* (sin (/ -1 phi1)) (cos (/ -1 delta))) (* (cos (/ -1 phi1)) (* (cos (/ -1 theta)) (sin (/ -1 delta)))))) in (phi1 delta theta) around 0 1.794 * [taylor]: Taking taylor expansion of (asin (+ (* (sin (/ -1 phi1)) (cos (/ -1 delta))) (* (cos (/ -1 phi1)) (* (cos (/ -1 theta)) (sin (/ -1 delta)))))) in delta 1.794 * [taylor]: Taking taylor expansion of (asin (+ (* (sin (/ -1 phi1)) (cos (/ -1 delta))) (* (cos (/ -1 phi1)) (* (cos (/ -1 theta)) (sin (/ -1 delta)))))) in theta 1.795 * [taylor]: Taking taylor expansion of (asin (+ (* (sin (/ -1 phi1)) (cos (/ -1 delta))) (* (cos (/ -1 phi1)) (* (cos (/ -1 theta)) (sin (/ -1 delta)))))) in delta 1.795 * [taylor]: Taking taylor expansion of (asin (+ (* (sin (/ -1 phi1)) (cos (/ -1 delta))) (* (cos (/ -1 phi1)) (* (cos (/ -1 theta)) (sin (/ -1 delta)))))) in theta 1.795 * [taylor]: Taking taylor expansion of (asin (+ (* (sin (/ -1 phi1)) (cos (/ -1 delta))) (* (cos (/ -1 phi1)) (* (cos (/ -1 theta)) (sin (/ -1 delta)))))) in theta 1.795 * [taylor]: Taking taylor expansion of (asin (+ (* (sin (/ -1 phi1)) (cos (/ -1 delta))) (* (cos (/ -1 phi1)) (* (cos (/ -1 theta)) (sin (/ -1 delta)))))) in delta 1.795 * [taylor]: Taking taylor expansion of (asin (+ (* (sin (/ -1 phi1)) (cos (/ -1 delta))) (* (cos (/ -1 phi1)) (* (cos (/ -1 theta)) (sin (/ -1 delta)))))) in theta 1.795 * [taylor]: Taking taylor expansion of (asin (+ (* (sin (/ -1 phi1)) (cos (/ -1 delta))) (* (cos (/ -1 phi1)) (* (cos (/ -1 theta)) (sin (/ -1 delta)))))) in theta 1.795 * [taylor]: Taking taylor expansion of (asin (+ (* (sin (/ -1 phi1)) (cos (/ -1 delta))) (* (cos (/ -1 phi1)) (* (cos (/ -1 theta)) (sin (/ -1 delta)))))) in theta 1.795 * * * [progress]: simplifying candidates 1.796 * [simplify]: Simplifying using # : (* (+ (log (sin phi1)) (log (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) 3) (* (log (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) 3) (* (log (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) 3) (* 1 3) (* 1 3) (pow (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (* (cbrt 3) (cbrt 3))) (pow (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (sqrt 3)) (pow (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) 1) (pow (sin phi1) 3) (pow (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))) 3) (* (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (log (pow (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) 3)) (exp (pow (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) 3)) (* (cbrt (pow (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) 3)) (cbrt (pow (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) 3))) (cbrt (pow (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) 3)) (* (* (pow (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) 3) (pow (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) 3)) (pow (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) 3)) (pow (sin phi1) 3) (pow (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))) 3) (pow (- (cos (- phi1 (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (cos (+ phi1 (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) 3) (pow 2 3) (* (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (sqrt (pow (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) 3)) (sqrt (pow (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) 3)) (pow (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (/ 3 2)) (pow (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (/ 3 2)) (* (log (cos delta)) 3) (* (log (cos delta)) 3) (* 1 3) (pow (cos delta) (* (cbrt 3) (cbrt 3))) (pow (cos delta) (sqrt 3)) (pow (cos delta) 1) (pow (* (cbrt (cos delta)) (cbrt (cos delta))) 3) (pow (cbrt (cos delta)) 3) (pow (sqrt (cos delta)) 3) (pow (sqrt (cos delta)) 3) (pow 1 3) (pow (cos delta) 3) (* (cos delta) (cos delta)) (log (pow (cos delta) 3)) (exp (pow (cos delta) 3)) (* (cbrt (pow (cos delta) 3)) (cbrt (pow (cos delta) 3))) (cbrt (pow (cos delta) 3)) (* (* (pow (cos delta) 3) (pow (cos delta) 3)) (pow (cos delta) 3)) (pow (* (cbrt (cos delta)) (cbrt (cos delta))) 3) (pow (cbrt (cos delta)) 3) (pow (sqrt (cos delta)) 3) (pow (sqrt (cos delta)) 3) (pow 1 3) (pow (cos delta) 3) (* (cos delta) (cos delta)) (sqrt (pow (cos delta) 3)) (sqrt (pow (cos delta) 3)) (pow (cos delta) (/ 3 2)) (pow (cos delta) (/ 3 2)) (/ PI 2) (acos (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))) (log (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))) (exp (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))) (* (cbrt (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))) (cbrt (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (cbrt (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))) (* (* (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))) (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))) (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))) (sqrt (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))) (sqrt (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))) (/ PI 2) (acos (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))) (log (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))) (exp (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))) (* (cbrt (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))) (cbrt (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (cbrt (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))) (* (* (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))) (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))) (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))) (sqrt (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))) (sqrt (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))) (+ (* 3 (* delta (pow phi1 5))) (+ (pow phi1 6) (* 3 (* (pow delta 2) (pow phi1 4))))) (* (pow (sin phi1) 3) (pow (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta))) 3)) (* (pow (sin phi1) 3) (pow (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta))) 3)) (- (+ (* 7/8 (pow delta 4)) 1) (* 3/2 (pow delta 2))) (pow (cos delta) 3) (pow (cos delta) 3) (asin (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) (asin (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) (asin (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) (asin (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) (asin (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) (asin (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) 1.801 * * [simplify]: iteration 0 : 250 enodes (cost 773 ) 1.807 * * [simplify]: iteration 1 : 1025 enodes (cost 671 ) 1.832 * * [simplify]: iteration 2 : 5001 enodes (cost 666 ) 1.836 * [simplify]: Simplified to: (log (pow (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) 3)) (log (pow (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) 3)) (log (pow (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) 3)) 3 3 (pow (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (* (cbrt 3) (cbrt 3))) (pow (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (sqrt 3)) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (pow (sin phi1) 3) (pow (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))) 3) (pow (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) 2) (log (pow (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) 3)) (exp (pow (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) 3)) (pow (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) 2) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (pow (pow (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) 3) 3) (pow (sin phi1) 3) (pow (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))) 3) (pow (- (cos (- phi1 (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (cos (+ phi1 (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) 3) 8 (pow (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) 2) (sqrt (pow (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) 3)) (sqrt (pow (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) 3)) (pow (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) 3/2) (pow (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) 3/2) (log (pow (cos delta) 3)) (log (pow (cos delta) 3)) 3 (pow (cos delta) (* (cbrt 3) (cbrt 3))) (pow (cos delta) (sqrt 3)) (cos delta) (pow (cos delta) 2) (cos delta) (pow (cos delta) 3/2) (pow (cos delta) 3/2) 1 (pow (cos delta) 3) (pow (cos delta) 2) (log (pow (cos delta) 3)) (exp (pow (cos delta) 3)) (pow (cos delta) 2) (cos delta) (pow (pow (cos delta) 3) 3) (pow (cos delta) 2) (cos delta) (pow (cos delta) 3/2) (pow (cos delta) 3/2) 1 (pow (cos delta) 3) (pow (cos delta) 2) (sqrt (pow (cos delta) 3)) (sqrt (pow (cos delta) 3)) (pow (cos delta) 3/2) (pow (cos delta) 3/2) (/ PI 2) (acos (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))) (log (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))) (exp (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))) (* (cbrt (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))) (cbrt (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (cbrt (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))) (pow (asin (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) 3) (sqrt (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))) (sqrt (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))) (/ PI 2) (acos (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))) (log (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))) (exp (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))) (* (cbrt (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))) (cbrt (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (cbrt (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))) (pow (asin (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) 3) (sqrt (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))) (sqrt (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))) (+ (* 3 (+ (* (pow delta 2) (pow phi1 4)) (* delta (pow phi1 5)))) (pow phi1 6)) (* (pow (sin phi1) 3) (pow (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta))) 3)) (* (pow (sin phi1) 3) (pow (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta))) 3)) (- (+ (* 7/8 (pow delta 4)) 1) (* 3/2 (pow delta 2))) (pow (cos delta) 3) (pow (cos delta) 3) (asin (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) (asin (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) (asin (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) (asin (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) (asin (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) (asin (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) 1.836 * * * [progress]: adding candidates to table 2.343 * * [progress]: iteration 3 / 4 2.343 * * * [progress]: picking best candidate 2.414 * * * * [pick]: Picked # 2.414 * * * [progress]: localizing error 2.450 * * * [progress]: generating rewritten candidates 2.450 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 2.454 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 1) 2.460 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1 2 2 1) 2.461 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 1 2) 2.468 * * * [progress]: generating series expansions 2.468 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 2.469 * [approximate]: Approximating (- (cos delta) (+ (* (sin phi1) (* (cos phi1) (* (cos theta) (sin delta)))) (* (pow (sin phi1) 2) (cos delta)))) in (delta phi1 theta) around 0 2.472 * [taylor]: Taking taylor expansion of (- (cos delta) (+ (* (sin phi1) (* (cos phi1) (* (cos theta) (sin delta)))) (* (pow (sin phi1) 2) (cos delta)))) in phi1 2.473 * [taylor]: Taking taylor expansion of (- (cos delta) (+ (* (sin phi1) (* (cos phi1) (* (cos theta) (sin delta)))) (* (pow (sin phi1) 2) (cos delta)))) in theta 2.484 * [taylor]: Taking taylor expansion of (- (cos delta) (+ (* (sin phi1) (* (cos phi1) (* (cos theta) (sin delta)))) (* (pow (sin phi1) 2) (cos delta)))) in phi1 2.485 * [taylor]: Taking taylor expansion of (- (cos delta) (+ (* (sin phi1) (* (cos phi1) (* (cos theta) (sin delta)))) (* (pow (sin phi1) 2) (cos delta)))) in theta 2.486 * [taylor]: Taking taylor expansion of (- (cos delta) (+ (* (sin phi1) (* (cos phi1) (* (cos theta) (sin delta)))) (* (pow (sin phi1) 2) (cos delta)))) in theta 2.501 * [taylor]: Taking taylor expansion of (- (cos delta) (+ (* (sin phi1) (* (cos phi1) (* (cos theta) (sin delta)))) (* (pow (sin phi1) 2) (cos delta)))) in phi1 2.502 * [taylor]: Taking taylor expansion of (- (cos delta) (+ (* (sin phi1) (* (cos phi1) (* (cos theta) (sin delta)))) (* (pow (sin phi1) 2) (cos delta)))) in theta 2.506 * [taylor]: Taking taylor expansion of (- (cos delta) (+ (* (sin phi1) (* (cos phi1) (* (cos theta) (sin delta)))) (* (pow (sin phi1) 2) (cos delta)))) in theta 2.507 * [approximate]: Approximating (- (cos (/ 1 delta)) (+ (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (* (cos (/ 1 phi1)) (sin (/ 1 phi1))))) (* (pow (sin (/ 1 phi1)) 2) (cos (/ 1 delta))))) in (delta phi1 theta) around 0 2.515 * [taylor]: Taking taylor expansion of (- (cos (/ 1 delta)) (+ (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (* (cos (/ 1 phi1)) (sin (/ 1 phi1))))) (* (pow (sin (/ 1 phi1)) 2) (cos (/ 1 delta))))) in phi1 2.519 * [taylor]: Taking taylor expansion of (- (cos (/ 1 delta)) (+ (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (* (cos (/ 1 phi1)) (sin (/ 1 phi1))))) (* (pow (sin (/ 1 phi1)) 2) (cos (/ 1 delta))))) in theta 2.534 * [taylor]: Taking taylor expansion of (- (cos (/ 1 delta)) (+ (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (* (cos (/ 1 phi1)) (sin (/ 1 phi1))))) (* (pow (sin (/ 1 phi1)) 2) (cos (/ 1 delta))))) in phi1 2.534 * [taylor]: Taking taylor expansion of (- (cos (/ 1 delta)) (+ (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (* (cos (/ 1 phi1)) (sin (/ 1 phi1))))) (* (pow (sin (/ 1 phi1)) 2) (cos (/ 1 delta))))) in theta 2.549 * [taylor]: Taking taylor expansion of (- (cos (/ 1 delta)) (+ (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (* (cos (/ 1 phi1)) (sin (/ 1 phi1))))) (* (pow (sin (/ 1 phi1)) 2) (cos (/ 1 delta))))) in theta 2.578 * [taylor]: Taking taylor expansion of (- (cos (/ 1 delta)) (+ (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (* (cos (/ 1 phi1)) (sin (/ 1 phi1))))) (* (pow (sin (/ 1 phi1)) 2) (cos (/ 1 delta))))) in phi1 2.578 * [taylor]: Taking taylor expansion of (- (cos (/ 1 delta)) (+ (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (* (cos (/ 1 phi1)) (sin (/ 1 phi1))))) (* (pow (sin (/ 1 phi1)) 2) (cos (/ 1 delta))))) in theta 2.578 * [taylor]: Taking taylor expansion of (- (cos (/ 1 delta)) (+ (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (* (cos (/ 1 phi1)) (sin (/ 1 phi1))))) (* (pow (sin (/ 1 phi1)) 2) (cos (/ 1 delta))))) in theta 2.593 * [taylor]: Taking taylor expansion of (- (cos (/ 1 delta)) (+ (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (* (cos (/ 1 phi1)) (sin (/ 1 phi1))))) (* (pow (sin (/ 1 phi1)) 2) (cos (/ 1 delta))))) in theta 2.594 * [approximate]: Approximating (- (cos (/ -1 delta)) (+ (* (pow (sin (/ -1 phi1)) 2) (cos (/ -1 delta))) (* (sin (/ -1 phi1)) (* (cos (/ -1 theta)) (* (cos (/ -1 phi1)) (sin (/ -1 delta))))))) in (delta phi1 theta) around 0 2.603 * [taylor]: Taking taylor expansion of (- (cos (/ -1 delta)) (+ (* (pow (sin (/ -1 phi1)) 2) (cos (/ -1 delta))) (* (sin (/ -1 phi1)) (* (cos (/ -1 theta)) (* (cos (/ -1 phi1)) (sin (/ -1 delta))))))) in phi1 2.608 * [taylor]: Taking taylor expansion of (- (cos (/ -1 delta)) (+ (* (pow (sin (/ -1 phi1)) 2) (cos (/ -1 delta))) (* (sin (/ -1 phi1)) (* (cos (/ -1 theta)) (* (cos (/ -1 phi1)) (sin (/ -1 delta))))))) in theta 2.623 * [taylor]: Taking taylor expansion of (- (cos (/ -1 delta)) (+ (* (pow (sin (/ -1 phi1)) 2) (cos (/ -1 delta))) (* (sin (/ -1 phi1)) (* (cos (/ -1 theta)) (* (cos (/ -1 phi1)) (sin (/ -1 delta))))))) in phi1 2.623 * [taylor]: Taking taylor expansion of (- (cos (/ -1 delta)) (+ (* (pow (sin (/ -1 phi1)) 2) (cos (/ -1 delta))) (* (sin (/ -1 phi1)) (* (cos (/ -1 theta)) (* (cos (/ -1 phi1)) (sin (/ -1 delta))))))) in theta 2.636 * [taylor]: Taking taylor expansion of (- (cos (/ -1 delta)) (+ (* (pow (sin (/ -1 phi1)) 2) (cos (/ -1 delta))) (* (sin (/ -1 phi1)) (* (cos (/ -1 theta)) (* (cos (/ -1 phi1)) (sin (/ -1 delta))))))) in theta 2.666 * [taylor]: Taking taylor expansion of (- (cos (/ -1 delta)) (+ (* (pow (sin (/ -1 phi1)) 2) (cos (/ -1 delta))) (* (sin (/ -1 phi1)) (* (cos (/ -1 theta)) (* (cos (/ -1 phi1)) (sin (/ -1 delta))))))) in phi1 2.666 * [taylor]: Taking taylor expansion of (- (cos (/ -1 delta)) (+ (* (pow (sin (/ -1 phi1)) 2) (cos (/ -1 delta))) (* (sin (/ -1 phi1)) (* (cos (/ -1 theta)) (* (cos (/ -1 phi1)) (sin (/ -1 delta))))))) in theta 2.666 * [taylor]: Taking taylor expansion of (- (cos (/ -1 delta)) (+ (* (pow (sin (/ -1 phi1)) 2) (cos (/ -1 delta))) (* (sin (/ -1 phi1)) (* (cos (/ -1 theta)) (* (cos (/ -1 phi1)) (sin (/ -1 delta))))))) in theta 2.680 * [taylor]: Taking taylor expansion of (- (cos (/ -1 delta)) (+ (* (pow (sin (/ -1 phi1)) 2) (cos (/ -1 delta))) (* (sin (/ -1 phi1)) (* (cos (/ -1 theta)) (* (cos (/ -1 phi1)) (sin (/ -1 delta))))))) in theta 2.681 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 1) 2.682 * [approximate]: Approximating (- (cos delta) (+ (* (sin phi1) (* (cos phi1) (* (cos theta) (sin delta)))) (* (pow (sin phi1) 2) (cos delta)))) in (delta phi1 theta) around 0 2.684 * [taylor]: Taking taylor expansion of (- (cos delta) (+ (* (sin phi1) (* (cos phi1) (* (cos theta) (sin delta)))) (* (pow (sin phi1) 2) (cos delta)))) in phi1 2.685 * [taylor]: Taking taylor expansion of (- (cos delta) (+ (* (sin phi1) (* (cos phi1) (* (cos theta) (sin delta)))) (* (pow (sin phi1) 2) (cos delta)))) in theta 2.697 * [taylor]: Taking taylor expansion of (- (cos delta) (+ (* (sin phi1) (* (cos phi1) (* (cos theta) (sin delta)))) (* (pow (sin phi1) 2) (cos delta)))) in phi1 2.698 * [taylor]: Taking taylor expansion of (- (cos delta) (+ (* (sin phi1) (* (cos phi1) (* (cos theta) (sin delta)))) (* (pow (sin phi1) 2) (cos delta)))) in theta 2.698 * [taylor]: Taking taylor expansion of (- (cos delta) (+ (* (sin phi1) (* (cos phi1) (* (cos theta) (sin delta)))) (* (pow (sin phi1) 2) (cos delta)))) in theta 2.716 * [taylor]: Taking taylor expansion of (- (cos delta) (+ (* (sin phi1) (* (cos phi1) (* (cos theta) (sin delta)))) (* (pow (sin phi1) 2) (cos delta)))) in phi1 2.717 * [taylor]: Taking taylor expansion of (- (cos delta) (+ (* (sin phi1) (* (cos phi1) (* (cos theta) (sin delta)))) (* (pow (sin phi1) 2) (cos delta)))) in theta 2.721 * [taylor]: Taking taylor expansion of (- (cos delta) (+ (* (sin phi1) (* (cos phi1) (* (cos theta) (sin delta)))) (* (pow (sin phi1) 2) (cos delta)))) in theta 2.722 * [approximate]: Approximating (- (cos (/ 1 delta)) (+ (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (* (cos (/ 1 phi1)) (sin (/ 1 phi1))))) (* (pow (sin (/ 1 phi1)) 2) (cos (/ 1 delta))))) in (delta phi1 theta) around 0 2.730 * [taylor]: Taking taylor expansion of (- (cos (/ 1 delta)) (+ (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (* (cos (/ 1 phi1)) (sin (/ 1 phi1))))) (* (pow (sin (/ 1 phi1)) 2) (cos (/ 1 delta))))) in phi1 2.734 * [taylor]: Taking taylor expansion of (- (cos (/ 1 delta)) (+ (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (* (cos (/ 1 phi1)) (sin (/ 1 phi1))))) (* (pow (sin (/ 1 phi1)) 2) (cos (/ 1 delta))))) in theta 2.749 * [taylor]: Taking taylor expansion of (- (cos (/ 1 delta)) (+ (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (* (cos (/ 1 phi1)) (sin (/ 1 phi1))))) (* (pow (sin (/ 1 phi1)) 2) (cos (/ 1 delta))))) in phi1 2.749 * [taylor]: Taking taylor expansion of (- (cos (/ 1 delta)) (+ (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (* (cos (/ 1 phi1)) (sin (/ 1 phi1))))) (* (pow (sin (/ 1 phi1)) 2) (cos (/ 1 delta))))) in theta 2.760 * [taylor]: Taking taylor expansion of (- (cos (/ 1 delta)) (+ (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (* (cos (/ 1 phi1)) (sin (/ 1 phi1))))) (* (pow (sin (/ 1 phi1)) 2) (cos (/ 1 delta))))) in theta 2.792 * [taylor]: Taking taylor expansion of (- (cos (/ 1 delta)) (+ (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (* (cos (/ 1 phi1)) (sin (/ 1 phi1))))) (* (pow (sin (/ 1 phi1)) 2) (cos (/ 1 delta))))) in phi1 2.792 * [taylor]: Taking taylor expansion of (- (cos (/ 1 delta)) (+ (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (* (cos (/ 1 phi1)) (sin (/ 1 phi1))))) (* (pow (sin (/ 1 phi1)) 2) (cos (/ 1 delta))))) in theta 2.792 * [taylor]: Taking taylor expansion of (- (cos (/ 1 delta)) (+ (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (* (cos (/ 1 phi1)) (sin (/ 1 phi1))))) (* (pow (sin (/ 1 phi1)) 2) (cos (/ 1 delta))))) in theta 2.806 * [taylor]: Taking taylor expansion of (- (cos (/ 1 delta)) (+ (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (* (cos (/ 1 phi1)) (sin (/ 1 phi1))))) (* (pow (sin (/ 1 phi1)) 2) (cos (/ 1 delta))))) in theta 2.808 * [approximate]: Approximating (- (cos (/ -1 delta)) (+ (* (pow (sin (/ -1 phi1)) 2) (cos (/ -1 delta))) (* (sin (/ -1 phi1)) (* (cos (/ -1 theta)) (* (cos (/ -1 phi1)) (sin (/ -1 delta))))))) in (delta phi1 theta) around 0 2.816 * [taylor]: Taking taylor expansion of (- (cos (/ -1 delta)) (+ (* (pow (sin (/ -1 phi1)) 2) (cos (/ -1 delta))) (* (sin (/ -1 phi1)) (* (cos (/ -1 theta)) (* (cos (/ -1 phi1)) (sin (/ -1 delta))))))) in phi1 2.821 * [taylor]: Taking taylor expansion of (- (cos (/ -1 delta)) (+ (* (pow (sin (/ -1 phi1)) 2) (cos (/ -1 delta))) (* (sin (/ -1 phi1)) (* (cos (/ -1 theta)) (* (cos (/ -1 phi1)) (sin (/ -1 delta))))))) in theta 2.836 * [taylor]: Taking taylor expansion of (- (cos (/ -1 delta)) (+ (* (pow (sin (/ -1 phi1)) 2) (cos (/ -1 delta))) (* (sin (/ -1 phi1)) (* (cos (/ -1 theta)) (* (cos (/ -1 phi1)) (sin (/ -1 delta))))))) in phi1 2.836 * [taylor]: Taking taylor expansion of (- (cos (/ -1 delta)) (+ (* (pow (sin (/ -1 phi1)) 2) (cos (/ -1 delta))) (* (sin (/ -1 phi1)) (* (cos (/ -1 theta)) (* (cos (/ -1 phi1)) (sin (/ -1 delta))))))) in theta 2.847 * [taylor]: Taking taylor expansion of (- (cos (/ -1 delta)) (+ (* (pow (sin (/ -1 phi1)) 2) (cos (/ -1 delta))) (* (sin (/ -1 phi1)) (* (cos (/ -1 theta)) (* (cos (/ -1 phi1)) (sin (/ -1 delta))))))) in theta 2.879 * [taylor]: Taking taylor expansion of (- (cos (/ -1 delta)) (+ (* (pow (sin (/ -1 phi1)) 2) (cos (/ -1 delta))) (* (sin (/ -1 phi1)) (* (cos (/ -1 theta)) (* (cos (/ -1 phi1)) (sin (/ -1 delta))))))) in phi1 2.879 * [taylor]: Taking taylor expansion of (- (cos (/ -1 delta)) (+ (* (pow (sin (/ -1 phi1)) 2) (cos (/ -1 delta))) (* (sin (/ -1 phi1)) (* (cos (/ -1 theta)) (* (cos (/ -1 phi1)) (sin (/ -1 delta))))))) in theta 2.879 * [taylor]: Taking taylor expansion of (- (cos (/ -1 delta)) (+ (* (pow (sin (/ -1 phi1)) 2) (cos (/ -1 delta))) (* (sin (/ -1 phi1)) (* (cos (/ -1 theta)) (* (cos (/ -1 phi1)) (sin (/ -1 delta))))))) in theta 2.894 * [taylor]: Taking taylor expansion of (- (cos (/ -1 delta)) (+ (* (pow (sin (/ -1 phi1)) 2) (cos (/ -1 delta))) (* (sin (/ -1 phi1)) (* (cos (/ -1 theta)) (* (cos (/ -1 phi1)) (sin (/ -1 delta))))))) in theta 2.895 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1 2 2 1) 2.895 * [approximate]: Approximating (asin (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) in (phi1 delta theta) around 0 2.895 * [taylor]: Taking taylor expansion of (asin (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) in delta 2.896 * [taylor]: Taking taylor expansion of (asin (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) in theta 2.896 * [taylor]: Taking taylor expansion of (asin (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) in delta 2.896 * [taylor]: Taking taylor expansion of (asin (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) in theta 2.896 * [taylor]: Taking taylor expansion of (asin (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) in theta 2.896 * [taylor]: Taking taylor expansion of (asin (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) in delta 2.896 * [taylor]: Taking taylor expansion of (asin (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) in theta 2.896 * [taylor]: Taking taylor expansion of (asin (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) in theta 2.896 * [taylor]: Taking taylor expansion of (asin (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) in theta 2.897 * [approximate]: Approximating (asin (+ (* (sin (/ 1 phi1)) (cos (/ 1 delta))) (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (cos (/ 1 phi1)))))) in (phi1 delta theta) around 0 2.897 * [taylor]: Taking taylor expansion of (asin (+ (* (sin (/ 1 phi1)) (cos (/ 1 delta))) (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (cos (/ 1 phi1)))))) in delta 2.898 * [taylor]: Taking taylor expansion of (asin (+ (* (sin (/ 1 phi1)) (cos (/ 1 delta))) (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (cos (/ 1 phi1)))))) in theta 2.898 * [taylor]: Taking taylor expansion of (asin (+ (* (sin (/ 1 phi1)) (cos (/ 1 delta))) (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (cos (/ 1 phi1)))))) in delta 2.898 * [taylor]: Taking taylor expansion of (asin (+ (* (sin (/ 1 phi1)) (cos (/ 1 delta))) (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (cos (/ 1 phi1)))))) in theta 2.898 * [taylor]: Taking taylor expansion of (asin (+ (* (sin (/ 1 phi1)) (cos (/ 1 delta))) (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (cos (/ 1 phi1)))))) in theta 2.898 * [taylor]: Taking taylor expansion of (asin (+ (* (sin (/ 1 phi1)) (cos (/ 1 delta))) (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (cos (/ 1 phi1)))))) in delta 2.898 * [taylor]: Taking taylor expansion of (asin (+ (* (sin (/ 1 phi1)) (cos (/ 1 delta))) (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (cos (/ 1 phi1)))))) in theta 2.898 * [taylor]: Taking taylor expansion of (asin (+ (* (sin (/ 1 phi1)) (cos (/ 1 delta))) (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (cos (/ 1 phi1)))))) in theta 2.898 * [taylor]: Taking taylor expansion of (asin (+ (* (sin (/ 1 phi1)) (cos (/ 1 delta))) (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (cos (/ 1 phi1)))))) in theta 2.899 * [approximate]: Approximating (asin (+ (* (sin (/ -1 phi1)) (cos (/ -1 delta))) (* (cos (/ -1 phi1)) (* (cos (/ -1 theta)) (sin (/ -1 delta)))))) in (phi1 delta theta) around 0 2.900 * [taylor]: Taking taylor expansion of (asin (+ (* (sin (/ -1 phi1)) (cos (/ -1 delta))) (* (cos (/ -1 phi1)) (* (cos (/ -1 theta)) (sin (/ -1 delta)))))) in delta 2.900 * [taylor]: Taking taylor expansion of (asin (+ (* (sin (/ -1 phi1)) (cos (/ -1 delta))) (* (cos (/ -1 phi1)) (* (cos (/ -1 theta)) (sin (/ -1 delta)))))) in theta 2.900 * [taylor]: Taking taylor expansion of (asin (+ (* (sin (/ -1 phi1)) (cos (/ -1 delta))) (* (cos (/ -1 phi1)) (* (cos (/ -1 theta)) (sin (/ -1 delta)))))) in delta 2.900 * [taylor]: Taking taylor expansion of (asin (+ (* (sin (/ -1 phi1)) (cos (/ -1 delta))) (* (cos (/ -1 phi1)) (* (cos (/ -1 theta)) (sin (/ -1 delta)))))) in theta 2.900 * [taylor]: Taking taylor expansion of (asin (+ (* (sin (/ -1 phi1)) (cos (/ -1 delta))) (* (cos (/ -1 phi1)) (* (cos (/ -1 theta)) (sin (/ -1 delta)))))) in theta 2.901 * [taylor]: Taking taylor expansion of (asin (+ (* (sin (/ -1 phi1)) (cos (/ -1 delta))) (* (cos (/ -1 phi1)) (* (cos (/ -1 theta)) (sin (/ -1 delta)))))) in delta 2.901 * [taylor]: Taking taylor expansion of (asin (+ (* (sin (/ -1 phi1)) (cos (/ -1 delta))) (* (cos (/ -1 phi1)) (* (cos (/ -1 theta)) (sin (/ -1 delta)))))) in theta 2.901 * [taylor]: Taking taylor expansion of (asin (+ (* (sin (/ -1 phi1)) (cos (/ -1 delta))) (* (cos (/ -1 phi1)) (* (cos (/ -1 theta)) (sin (/ -1 delta)))))) in theta 2.901 * [taylor]: Taking taylor expansion of (asin (+ (* (sin (/ -1 phi1)) (cos (/ -1 delta))) (* (cos (/ -1 phi1)) (* (cos (/ -1 theta)) (sin (/ -1 delta)))))) in theta 2.901 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 1 2) 2.901 * [approximate]: Approximating (* (sin phi1) (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) in (phi1 delta theta) around 0 2.903 * [taylor]: Taking taylor expansion of (* (sin phi1) (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) in delta 2.903 * [taylor]: Taking taylor expansion of (* (sin phi1) (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) in theta 2.912 * [taylor]: Taking taylor expansion of (* (sin phi1) (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) in delta 2.913 * [taylor]: Taking taylor expansion of (* (sin phi1) (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) in theta 2.913 * [taylor]: Taking taylor expansion of (* (sin phi1) (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) in theta 2.925 * [taylor]: Taking taylor expansion of (* (sin phi1) (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) in delta 2.926 * [taylor]: Taking taylor expansion of (* (sin phi1) (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) in theta 2.929 * [taylor]: Taking taylor expansion of (* (sin phi1) (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) in theta 2.929 * [taylor]: Taking taylor expansion of (* (sin phi1) (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) in theta 2.944 * [taylor]: Taking taylor expansion of (* (sin phi1) (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) in delta 2.946 * [taylor]: Taking taylor expansion of (* (sin phi1) (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) in theta 2.946 * [taylor]: Taking taylor expansion of (* (sin phi1) (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) in theta 2.947 * [approximate]: Approximating (* (+ (* (sin (/ 1 phi1)) (cos (/ 1 delta))) (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (cos (/ 1 phi1))))) (sin (/ 1 phi1))) in (phi1 delta theta) around 0 2.953 * [taylor]: Taking taylor expansion of (* (+ (* (sin (/ 1 phi1)) (cos (/ 1 delta))) (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (cos (/ 1 phi1))))) (sin (/ 1 phi1))) in delta 2.958 * [taylor]: Taking taylor expansion of (* (+ (* (sin (/ 1 phi1)) (cos (/ 1 delta))) (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (cos (/ 1 phi1))))) (sin (/ 1 phi1))) in theta 2.970 * [taylor]: Taking taylor expansion of (* (+ (* (sin (/ 1 phi1)) (cos (/ 1 delta))) (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (cos (/ 1 phi1))))) (sin (/ 1 phi1))) in delta 2.970 * [taylor]: Taking taylor expansion of (* (+ (* (sin (/ 1 phi1)) (cos (/ 1 delta))) (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (cos (/ 1 phi1))))) (sin (/ 1 phi1))) in theta 2.979 * [taylor]: Taking taylor expansion of (* (+ (* (sin (/ 1 phi1)) (cos (/ 1 delta))) (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (cos (/ 1 phi1))))) (sin (/ 1 phi1))) in theta 3.002 * [taylor]: Taking taylor expansion of (* (+ (* (sin (/ 1 phi1)) (cos (/ 1 delta))) (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (cos (/ 1 phi1))))) (sin (/ 1 phi1))) in delta 3.002 * [taylor]: Taking taylor expansion of (* (+ (* (sin (/ 1 phi1)) (cos (/ 1 delta))) (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (cos (/ 1 phi1))))) (sin (/ 1 phi1))) in theta 3.002 * [taylor]: Taking taylor expansion of (* (+ (* (sin (/ 1 phi1)) (cos (/ 1 delta))) (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (cos (/ 1 phi1))))) (sin (/ 1 phi1))) in theta 3.015 * [taylor]: Taking taylor expansion of (* (+ (* (sin (/ 1 phi1)) (cos (/ 1 delta))) (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (cos (/ 1 phi1))))) (sin (/ 1 phi1))) in theta 3.016 * [approximate]: Approximating (* (sin (/ -1 phi1)) (+ (* (sin (/ -1 phi1)) (cos (/ -1 delta))) (* (cos (/ -1 phi1)) (* (cos (/ -1 theta)) (sin (/ -1 delta)))))) in (phi1 delta theta) around 0 3.023 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (+ (* (sin (/ -1 phi1)) (cos (/ -1 delta))) (* (cos (/ -1 phi1)) (* (cos (/ -1 theta)) (sin (/ -1 delta)))))) in delta 3.026 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (+ (* (sin (/ -1 phi1)) (cos (/ -1 delta))) (* (cos (/ -1 phi1)) (* (cos (/ -1 theta)) (sin (/ -1 delta)))))) in theta 3.039 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (+ (* (sin (/ -1 phi1)) (cos (/ -1 delta))) (* (cos (/ -1 phi1)) (* (cos (/ -1 theta)) (sin (/ -1 delta)))))) in delta 3.039 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (+ (* (sin (/ -1 phi1)) (cos (/ -1 delta))) (* (cos (/ -1 phi1)) (* (cos (/ -1 theta)) (sin (/ -1 delta)))))) in theta 3.050 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (+ (* (sin (/ -1 phi1)) (cos (/ -1 delta))) (* (cos (/ -1 phi1)) (* (cos (/ -1 theta)) (sin (/ -1 delta)))))) in theta 3.073 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (+ (* (sin (/ -1 phi1)) (cos (/ -1 delta))) (* (cos (/ -1 phi1)) (* (cos (/ -1 theta)) (sin (/ -1 delta)))))) in delta 3.073 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (+ (* (sin (/ -1 phi1)) (cos (/ -1 delta))) (* (cos (/ -1 phi1)) (* (cos (/ -1 theta)) (sin (/ -1 delta)))))) in theta 3.073 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (+ (* (sin (/ -1 phi1)) (cos (/ -1 delta))) (* (cos (/ -1 phi1)) (* (cos (/ -1 theta)) (sin (/ -1 delta)))))) in theta 3.086 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (+ (* (sin (/ -1 phi1)) (cos (/ -1 delta))) (* (cos (/ -1 phi1)) (* (cos (/ -1 theta)) (sin (/ -1 delta)))))) in theta 3.087 * * * [progress]: simplifying candidates 3.088 * [simplify]: Simplifying using # : (log (exp (cos delta))) (log (exp (neg (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (log (exp (cos delta))) (log (exp (neg (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (log (* (cbrt (exp (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (cbrt (exp (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))))) (log (cbrt (exp (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))))) (log (sqrt (exp (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))))) (log (sqrt (exp (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))))) (log 1) (log (exp (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (log (exp (cos delta))) (log (exp (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (log (exp (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (log (exp (* (cbrt (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (cbrt (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))))) (log (exp (sqrt (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))))) (log (exp 1)) (log (log (exp (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))))) (exp (log (exp (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))))) (* (cbrt (log (exp (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))))) (cbrt (log (exp (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))))) (cbrt (log (exp (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))))) (* (* (log (exp (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (log (exp (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))))) (log (exp (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))))) (sqrt (log (exp (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))))) (sqrt (log (exp (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))))) (/ (exp (cos delta)) (exp (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (log (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (exp (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (* (cbrt (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (cbrt (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (cbrt (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (* (* (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (sqrt (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (sqrt (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (- (pow (cos delta) 3) (pow (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) 3)) (+ (* (cos delta) (cos delta)) (+ (* (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (* (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (neg (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (- (* (cos delta) (cos delta)) (* (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (+ (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (neg (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (/ PI 2) (acos (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))) (log (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))) (exp (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))) (* (cbrt (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))) (cbrt (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (cbrt (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))) (* (* (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))) (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))) (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))) (sqrt (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))) (sqrt (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))) (- (cos (- phi1 (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (cos (+ phi1 (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (+ (log (sin phi1)) (log (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (log (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (exp (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (* (cbrt (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cbrt (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (cbrt (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (* (* (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (sqrt (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (sqrt (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (* (sqrt (sin phi1)) (sqrt (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (* (sqrt (sin phi1)) (sqrt (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (* (sin phi1) (* (cbrt (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (cbrt (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (* (sin phi1) (sqrt (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (* (sin phi1) 1) (* (cbrt (sin phi1)) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (* (sqrt (sin phi1)) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (- 1 (+ (* 1/2 (pow delta 2)) (* delta phi1))) (- (cos delta) (+ (* (pow (sin phi1) 2) (cos delta)) (* (sin delta) (* (cos phi1) (* (cos theta) (sin phi1)))))) (- (cos delta) (+ (* (pow (sin phi1) 2) (cos delta)) (* (sin phi1) (* (cos phi1) (* (cos theta) (sin delta)))))) (- 1 (+ (* 1/2 (pow delta 2)) (* delta phi1))) (- (cos delta) (+ (* (pow (sin phi1) 2) (cos delta)) (* (sin delta) (* (cos phi1) (* (cos theta) (sin phi1)))))) (- (cos delta) (+ (* (pow (sin phi1) 2) (cos delta)) (* (sin phi1) (* (cos phi1) (* (cos theta) (sin delta)))))) (asin (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) (asin (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) (asin (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) (+ (pow phi1 2) (* delta phi1)) (* (sin phi1) (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) (* (sin phi1) (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) 3.094 * * [simplify]: iteration 0 : 253 enodes (cost 1234 ) 3.098 * * [simplify]: iteration 1 : 764 enodes (cost 1106 ) 3.112 * * [simplify]: iteration 2 : 2949 enodes (cost 1102 ) 3.165 * * [simplify]: iteration 3 : 5001 enodes (cost 1102 ) 3.169 * [simplify]: Simplified to: (cos delta) (neg (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos delta) (neg (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (* 2 (log (cbrt (exp (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))))) (log (cbrt (exp (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))))) (log (sqrt (exp (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))))) (log (sqrt (exp (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))))) 0 (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (* (cbrt (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (cbrt (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (sqrt (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) 1 (log (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (exp (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (* (cbrt (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (cbrt (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (cbrt (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (pow (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) 3) (sqrt (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (sqrt (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (exp (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (log (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (exp (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (* (cbrt (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (cbrt (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (cbrt (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (pow (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) 3) (sqrt (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (sqrt (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (- (pow (cos delta) 3) (pow (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) 3)) (+ (* (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (+ (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (cos delta))) (* (cos delta) (cos delta))) (neg (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (- (* (cos delta) (cos delta)) (* (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (+ (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (neg (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (/ PI 2) (acos (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))) (log (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))) (exp (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))) (* (cbrt (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))) (cbrt (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (cbrt (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))) (pow (asin (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) 3) (sqrt (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))) (sqrt (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))) (- (cos (- phi1 (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (cos (+ phi1 (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (log (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (log (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (exp (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (pow (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) 3) (* (cbrt (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (cbrt (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (cbrt (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (pow (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) 3) (sqrt (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (sqrt (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (* (sqrt (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (pow (sin phi1) 1/2)) (* (sqrt (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (pow (sin phi1) 1/2)) (* (sin phi1) (* (cbrt (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (cbrt (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (* (sin phi1) (sqrt (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (sin phi1) (* (cbrt (sin phi1)) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (* (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))) (pow (sin phi1) 1/2)) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (- 1 (+ (* 1/2 (pow delta 2)) (* delta phi1))) (- (cos delta) (* (sin phi1) (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta))))) (- (cos delta) (* (sin phi1) (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta))))) (- 1 (+ (* 1/2 (pow delta 2)) (* delta phi1))) (- (cos delta) (* (sin phi1) (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta))))) (- (cos delta) (* (sin phi1) (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta))))) (asin (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) (asin (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) (asin (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) (* phi1 (+ delta phi1)) (* (sin phi1) (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) (* (sin phi1) (+ (* (sin delta) (* (cos phi1) (cos theta))) (* (sin phi1) (cos delta)))) 3.170 * * * [progress]: adding candidates to table 3.646 * * [progress]: iteration 4 / 4 3.646 * * * [progress]: picking best candidate 3.716 * * * * [pick]: Picked # 3.716 * * * [progress]: localizing error 3.754 * * * [progress]: generating rewritten candidates 3.754 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 2 1) 3.756 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1 2) 3.757 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1 1) 3.759 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 3.763 * * * [progress]: generating series expansions 3.763 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 2 1) 3.763 * [approximate]: Approximating (pow (sin theta) 1/3) in (theta) around 0 3.797 * [approximate]: Approximating (pow (sin (/ 1 theta)) 1/3) in (theta) around 0 3.843 * [approximate]: Approximating (pow (sin (/ -1 theta)) 1/3) in (theta) around 0 3.884 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1 2) 3.885 * [approximate]: Approximating (pow (sin theta) 1/3) in (theta) around 0 3.921 * [approximate]: Approximating (pow (sin (/ 1 theta)) 1/3) in (theta) around 0 3.962 * [approximate]: Approximating (pow (sin (/ -1 theta)) 1/3) in (theta) around 0 4.005 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1 1) 4.006 * [approximate]: Approximating (pow (sin theta) 1/3) in (theta) around 0 4.036 * [approximate]: Approximating (pow (sin (/ 1 theta)) 1/3) in (theta) around 0 4.079 * [approximate]: Approximating (pow (sin (/ -1 theta)) 1/3) in (theta) around 0 4.119 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 4.119 * [approximate]: Approximating (- (cos delta) (+ (* (sin phi1) (* (cos phi1) (* (cos theta) (sin delta)))) (* (pow (sin phi1) 2) (cos delta)))) in (delta phi1 theta) around 0 4.122 * [taylor]: Taking taylor expansion of (- (cos delta) (+ (* (sin phi1) (* (cos phi1) (* (cos theta) (sin delta)))) (* (pow (sin phi1) 2) (cos delta)))) in phi1 4.123 * [taylor]: Taking taylor expansion of (- (cos delta) (+ (* (sin phi1) (* (cos phi1) (* (cos theta) (sin delta)))) (* (pow (sin phi1) 2) (cos delta)))) in theta 4.138 * [taylor]: Taking taylor expansion of (- (cos delta) (+ (* (sin phi1) (* (cos phi1) (* (cos theta) (sin delta)))) (* (pow (sin phi1) 2) (cos delta)))) in phi1 4.139 * [taylor]: Taking taylor expansion of (- (cos delta) (+ (* (sin phi1) (* (cos phi1) (* (cos theta) (sin delta)))) (* (pow (sin phi1) 2) (cos delta)))) in theta 4.140 * [taylor]: Taking taylor expansion of (- (cos delta) (+ (* (sin phi1) (* (cos phi1) (* (cos theta) (sin delta)))) (* (pow (sin phi1) 2) (cos delta)))) in theta 4.155 * [taylor]: Taking taylor expansion of (- (cos delta) (+ (* (sin phi1) (* (cos phi1) (* (cos theta) (sin delta)))) (* (pow (sin phi1) 2) (cos delta)))) in phi1 4.156 * [taylor]: Taking taylor expansion of (- (cos delta) (+ (* (sin phi1) (* (cos phi1) (* (cos theta) (sin delta)))) (* (pow (sin phi1) 2) (cos delta)))) in theta 4.160 * [taylor]: Taking taylor expansion of (- (cos delta) (+ (* (sin phi1) (* (cos phi1) (* (cos theta) (sin delta)))) (* (pow (sin phi1) 2) (cos delta)))) in theta 4.161 * [approximate]: Approximating (- (cos (/ 1 delta)) (+ (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (* (cos (/ 1 phi1)) (sin (/ 1 phi1))))) (* (pow (sin (/ 1 phi1)) 2) (cos (/ 1 delta))))) in (delta phi1 theta) around 0 4.169 * [taylor]: Taking taylor expansion of (- (cos (/ 1 delta)) (+ (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (* (cos (/ 1 phi1)) (sin (/ 1 phi1))))) (* (pow (sin (/ 1 phi1)) 2) (cos (/ 1 delta))))) in phi1 4.173 * [taylor]: Taking taylor expansion of (- (cos (/ 1 delta)) (+ (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (* (cos (/ 1 phi1)) (sin (/ 1 phi1))))) (* (pow (sin (/ 1 phi1)) 2) (cos (/ 1 delta))))) in theta 4.188 * [taylor]: Taking taylor expansion of (- (cos (/ 1 delta)) (+ (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (* (cos (/ 1 phi1)) (sin (/ 1 phi1))))) (* (pow (sin (/ 1 phi1)) 2) (cos (/ 1 delta))))) in phi1 4.189 * [taylor]: Taking taylor expansion of (- (cos (/ 1 delta)) (+ (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (* (cos (/ 1 phi1)) (sin (/ 1 phi1))))) (* (pow (sin (/ 1 phi1)) 2) (cos (/ 1 delta))))) in theta 4.199 * [taylor]: Taking taylor expansion of (- (cos (/ 1 delta)) (+ (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (* (cos (/ 1 phi1)) (sin (/ 1 phi1))))) (* (pow (sin (/ 1 phi1)) 2) (cos (/ 1 delta))))) in theta 4.232 * [taylor]: Taking taylor expansion of (- (cos (/ 1 delta)) (+ (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (* (cos (/ 1 phi1)) (sin (/ 1 phi1))))) (* (pow (sin (/ 1 phi1)) 2) (cos (/ 1 delta))))) in phi1 4.232 * [taylor]: Taking taylor expansion of (- (cos (/ 1 delta)) (+ (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (* (cos (/ 1 phi1)) (sin (/ 1 phi1))))) (* (pow (sin (/ 1 phi1)) 2) (cos (/ 1 delta))))) in theta 4.232 * [taylor]: Taking taylor expansion of (- (cos (/ 1 delta)) (+ (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (* (cos (/ 1 phi1)) (sin (/ 1 phi1))))) (* (pow (sin (/ 1 phi1)) 2) (cos (/ 1 delta))))) in theta 4.247 * [taylor]: Taking taylor expansion of (- (cos (/ 1 delta)) (+ (* (sin (/ 1 delta)) (* (cos (/ 1 theta)) (* (cos (/ 1 phi1)) (sin (/ 1 phi1))))) (* (pow (sin (/ 1 phi1)) 2) (cos (/ 1 delta))))) in theta 4.248 * [approximate]: Approximating (- (cos (/ -1 delta)) (+ (* (pow (sin (/ -1 phi1)) 2) (cos (/ -1 delta))) (* (sin (/ -1 phi1)) (* (cos (/ -1 theta)) (* (cos (/ -1 phi1)) (sin (/ -1 delta))))))) in (delta phi1 theta) around 0 4.256 * [taylor]: Taking taylor expansion of (- (cos (/ -1 delta)) (+ (* (pow (sin (/ -1 phi1)) 2) (cos (/ -1 delta))) (* (sin (/ -1 phi1)) (* (cos (/ -1 theta)) (* (cos (/ -1 phi1)) (sin (/ -1 delta))))))) in phi1 4.261 * [taylor]: Taking taylor expansion of (- (cos (/ -1 delta)) (+ (* (pow (sin (/ -1 phi1)) 2) (cos (/ -1 delta))) (* (sin (/ -1 phi1)) (* (cos (/ -1 theta)) (* (cos (/ -1 phi1)) (sin (/ -1 delta))))))) in theta 4.276 * [taylor]: Taking taylor expansion of (- (cos (/ -1 delta)) (+ (* (pow (sin (/ -1 phi1)) 2) (cos (/ -1 delta))) (* (sin (/ -1 phi1)) (* (cos (/ -1 theta)) (* (cos (/ -1 phi1)) (sin (/ -1 delta))))))) in phi1 4.276 * [taylor]: Taking taylor expansion of (- (cos (/ -1 delta)) (+ (* (pow (sin (/ -1 phi1)) 2) (cos (/ -1 delta))) (* (sin (/ -1 phi1)) (* (cos (/ -1 theta)) (* (cos (/ -1 phi1)) (sin (/ -1 delta))))))) in theta 4.287 * [taylor]: Taking taylor expansion of (- (cos (/ -1 delta)) (+ (* (pow (sin (/ -1 phi1)) 2) (cos (/ -1 delta))) (* (sin (/ -1 phi1)) (* (cos (/ -1 theta)) (* (cos (/ -1 phi1)) (sin (/ -1 delta))))))) in theta 4.320 * [taylor]: Taking taylor expansion of (- (cos (/ -1 delta)) (+ (* (pow (sin (/ -1 phi1)) 2) (cos (/ -1 delta))) (* (sin (/ -1 phi1)) (* (cos (/ -1 theta)) (* (cos (/ -1 phi1)) (sin (/ -1 delta))))))) in phi1 4.320 * [taylor]: Taking taylor expansion of (- (cos (/ -1 delta)) (+ (* (pow (sin (/ -1 phi1)) 2) (cos (/ -1 delta))) (* (sin (/ -1 phi1)) (* (cos (/ -1 theta)) (* (cos (/ -1 phi1)) (sin (/ -1 delta))))))) in theta 4.320 * [taylor]: Taking taylor expansion of (- (cos (/ -1 delta)) (+ (* (pow (sin (/ -1 phi1)) 2) (cos (/ -1 delta))) (* (sin (/ -1 phi1)) (* (cos (/ -1 theta)) (* (cos (/ -1 phi1)) (sin (/ -1 delta))))))) in theta 4.336 * [taylor]: Taking taylor expansion of (- (cos (/ -1 delta)) (+ (* (pow (sin (/ -1 phi1)) 2) (cos (/ -1 delta))) (* (sin (/ -1 phi1)) (* (cos (/ -1 theta)) (* (cos (/ -1 phi1)) (sin (/ -1 delta))))))) in theta 4.337 * * * [progress]: simplifying candidates 4.337 * [simplify]: Simplifying using # : (log (cbrt (sin theta))) (exp (cbrt (sin theta))) (cbrt (* (cbrt (sin theta)) (cbrt (sin theta)))) (cbrt (cbrt (sin theta))) (cbrt (sqrt (sin theta))) (cbrt (sqrt (sin theta))) (cbrt 1) (cbrt (sin theta)) (* (cbrt (cbrt (sin theta))) (cbrt (cbrt (sin theta)))) (cbrt (cbrt (sin theta))) (* (* (cbrt (sin theta)) (cbrt (sin theta))) (cbrt (sin theta))) (sqrt (cbrt (sin theta))) (sqrt (cbrt (sin theta))) (log (cbrt (sin theta))) (exp (cbrt (sin theta))) (cbrt (* (cbrt (sin theta)) (cbrt (sin theta)))) (cbrt (cbrt (sin theta))) (cbrt (sqrt (sin theta))) (cbrt (sqrt (sin theta))) (cbrt 1) (cbrt (sin theta)) (* (cbrt (cbrt (sin theta))) (cbrt (cbrt (sin theta)))) (cbrt (cbrt (sin theta))) (* (* (cbrt (sin theta)) (cbrt (sin theta))) (cbrt (sin theta))) (sqrt (cbrt (sin theta))) (sqrt (cbrt (sin theta))) (log (cbrt (sin theta))) (exp (cbrt (sin theta))) (cbrt (* (cbrt (sin theta)) (cbrt (sin theta)))) (cbrt (cbrt (sin theta))) (cbrt (sqrt (sin theta))) (cbrt (sqrt (sin theta))) (cbrt 1) (cbrt (sin theta)) (* (cbrt (cbrt (sin theta))) (cbrt (cbrt (sin theta)))) (cbrt (cbrt (sin theta))) (* (* (cbrt (sin theta)) (cbrt (sin theta))) (cbrt (sin theta))) (sqrt (cbrt (sin theta))) (sqrt (cbrt (sin theta))) (/ (exp (cos delta)) (exp (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (log (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (exp (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (* (cbrt (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (cbrt (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (cbrt (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (* (* (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (sqrt (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (sqrt (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (- (pow (cos delta) 3) (pow (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) 3)) (+ (* (cos delta) (cos delta)) (+ (* (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (* (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (neg (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (- (* (cos delta) (cos delta)) (* (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (+ (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (neg (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (- (pow theta 1/3) (+ (* 1/18 (pow (pow theta 7) 1/3)) (* 1/3240 (pow (pow theta 13) 1/3)))) (pow (sin theta) 1/3) (pow (sin theta) 1/3) (- (pow theta 1/3) (+ (* 1/18 (pow (pow theta 7) 1/3)) (* 1/3240 (pow (pow theta 13) 1/3)))) (pow (sin theta) 1/3) (pow (sin theta) 1/3) (- (pow theta 1/3) (+ (* 1/18 (pow (pow theta 7) 1/3)) (* 1/3240 (pow (pow theta 13) 1/3)))) (pow (sin theta) 1/3) (pow (sin theta) 1/3) (- 1 (+ (* 1/2 (pow delta 2)) (* delta phi1))) (- (cos delta) (+ (* (pow (sin phi1) 2) (cos delta)) (* (sin delta) (* (cos phi1) (* (cos theta) (sin phi1)))))) (- (cos delta) (+ (* (pow (sin phi1) 2) (cos delta)) (* (sin phi1) (* (cos phi1) (* (cos theta) (sin delta)))))) 4.341 * * [simplify]: iteration 0 : 195 enodes (cost 516 ) 4.345 * * [simplify]: iteration 1 : 482 enodes (cost 470 ) 4.353 * * [simplify]: iteration 2 : 1613 enodes (cost 464 ) 4.384 * * [simplify]: iteration 3 : 5001 enodes (cost 464 ) 4.387 * [simplify]: Simplified to: (log (cbrt (sin theta))) (exp (cbrt (sin theta))) (cbrt (* (cbrt (sin theta)) (cbrt (sin theta)))) (cbrt (cbrt (sin theta))) (cbrt (sqrt (sin theta))) (cbrt (sqrt (sin theta))) (cbrt 1) (pow (sin theta) 1/3) (* (cbrt (cbrt (sin theta))) (cbrt (cbrt (sin theta)))) (cbrt (cbrt (sin theta))) (sin theta) (sqrt (cbrt (sin theta))) (sqrt (cbrt (sin theta))) (log (cbrt (sin theta))) (exp (cbrt (sin theta))) (cbrt (* (cbrt (sin theta)) (cbrt (sin theta)))) (cbrt (cbrt (sin theta))) (cbrt (sqrt (sin theta))) (cbrt (sqrt (sin theta))) (cbrt 1) (pow (sin theta) 1/3) (* (cbrt (cbrt (sin theta))) (cbrt (cbrt (sin theta)))) (cbrt (cbrt (sin theta))) (sin theta) (sqrt (cbrt (sin theta))) (sqrt (cbrt (sin theta))) (log (cbrt (sin theta))) (exp (cbrt (sin theta))) (cbrt (* (cbrt (sin theta)) (cbrt (sin theta)))) (cbrt (cbrt (sin theta))) (cbrt (sqrt (sin theta))) (cbrt (sqrt (sin theta))) (cbrt 1) (pow (sin theta) 1/3) (* (cbrt (cbrt (sin theta))) (cbrt (cbrt (sin theta)))) (cbrt (cbrt (sin theta))) (sin theta) (sqrt (cbrt (sin theta))) (sqrt (cbrt (sin theta))) (exp (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (log (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (exp (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (* (cbrt (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (cbrt (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))))) (cbrt (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (pow (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) 3) (sqrt (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (sqrt (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (- (pow (cos delta) 3) (pow (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) 3)) (+ (* (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (+ (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (cos delta))) (* (cos delta) (cos delta))) (neg (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (- (* (cos delta) (cos delta)) (* (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))) (+ (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (neg (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))) (- (pow theta 1/3) (+ (* 1/18 (pow (pow theta 7) 1/3)) (* 1/3240 (pow (pow theta 13) 1/3)))) (pow (sin theta) 1/3) (pow (sin theta) 1/3) (- (pow theta 1/3) (+ (* 1/18 (pow (pow theta 7) 1/3)) (* 1/3240 (pow (pow theta 13) 1/3)))) (pow (sin theta) 1/3) (pow (sin theta) 1/3) (- (pow theta 1/3) (+ (* 1/18 (pow (pow theta 7) 1/3)) (* 1/3240 (pow (pow theta 13) 1/3)))) (pow (sin theta) 1/3) (pow (sin theta) 1/3) (- 1 (+ (* 1/2 (pow delta 2)) (* delta phi1))) (- (cos delta) (+ (* (pow (sin phi1) 2) (cos delta)) (* (sin phi1) (* (cos phi1) (* (cos theta) (sin delta)))))) (- (cos delta) (+ (* (pow (sin phi1) 2) (cos delta)) (* (sin phi1) (* (cos phi1) (* (cos theta) (sin delta)))))) 4.387 * * * [progress]: adding candidates to table 4.720 * [progress]: [Phase 3 of 3] Extracting. 4.720 * * [regime]: Finding splitpoints for: (# # # # # # # # # #) 4.736 * * * [regime-changes]: Trying 5 branch expressions: (theta delta phi2 phi1 lambda1) 4.736 * * * * [regimes]: Trying to branch on theta from (# # # # # # # # # #) 4.879 * * * * [regimes]: Trying to branch on delta from (# # # # # # # # # #) 5.021 * * * * [regimes]: Trying to branch on phi2 from (# # # # # # # # # #) 5.166 * * * * [regimes]: Trying to branch on phi1 from (# # # # # # # # # #) 5.312 * * * * [regimes]: Trying to branch on lambda1 from (# # # # # # # # # #) 5.456 * * * [regime]: Found split indices: #