0.763 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.461 * * * [progress]: [2/2] Setting up program. 0.464 * [progress]: [Phase 2 of 3] Improving. 0.467 * [simplify]: Simplifying using # : (- (* PI l) (* (/ 1.0 (* F F)) (tan (* PI l)))) 0.467 * [simplify]: Sending expressions to egg_math: (- (* PI h0) (* (/ h1 (* h2 h2)) (tan (* PI h0)))) 0.470 * * [simplify]: iteration 0 : 18 enodes (cost 7 ) 0.472 * * [simplify]: iteration 1 : 39 enodes (cost 7 ) 0.473 * * [simplify]: iteration 2 : 76 enodes (cost 7 ) 0.475 * * [simplify]: iteration 3 : 114 enodes (cost 7 ) 0.477 * * [simplify]: iteration 4 : 137 enodes (cost 7 ) 0.479 * * [simplify]: iteration 5 : 144 enodes (cost 7 ) 0.482 * * [simplify]: iteration 6 : 144 enodes (cost 7 ) 0.483 * [simplify]: Simplified to: (- (* PI l) (* (/ 1.0 (* F F)) (tan (* PI l)))) 0.484 * * [progress]: iteration 1 / 4 0.484 * * * [progress]: picking best candidate 0.486 * * * * [pick]: Picked # 0.487 * * * [progress]: localizing error 0.499 * * * [progress]: generating rewritten candidates 0.499 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 0.509 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 0.557 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.565 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 0.574 * * * [progress]: generating series expansions 0.575 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 0.579 * [approximate]: Taking taylor expansion of (tan (* PI l)) in (l) around 0 0.580 * [taylor]: Taking taylor expansion of (tan (* PI l)) in l 0.581 * [taylor]: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) 0.581 * [taylor]: Taking taylor expansion of (sin (* PI l)) in l 0.581 * [taylor]: Taking taylor expansion of (* PI l) in l 0.581 * [taylor]: Taking taylor expansion of PI in l 0.581 * [taylor]: Taking taylor expansion of l in l 0.583 * [taylor]: Taking taylor expansion of (cos (* PI l)) in l 0.583 * [taylor]: Taking taylor expansion of (* PI l) in l 0.583 * [taylor]: Taking taylor expansion of PI in l 0.583 * [taylor]: Taking taylor expansion of l in l 0.587 * [taylor]: Taking taylor expansion of (tan (* PI l)) in l 0.587 * [taylor]: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) 0.587 * [taylor]: Taking taylor expansion of (sin (* PI l)) in l 0.587 * [taylor]: Taking taylor expansion of (* PI l) in l 0.587 * [taylor]: Taking taylor expansion of PI in l 0.587 * [taylor]: Taking taylor expansion of l in l 0.588 * [taylor]: Taking taylor expansion of (cos (* PI l)) in l 0.588 * [taylor]: Taking taylor expansion of (* PI l) in l 0.588 * [taylor]: Taking taylor expansion of PI in l 0.588 * [taylor]: Taking taylor expansion of l in l 0.638 * [approximate]: Taking taylor expansion of (tan (/ PI l)) in (l) around 0 0.638 * [taylor]: Taking taylor expansion of (tan (/ PI l)) in l 0.638 * [taylor]: Rewrote expression to (/ (sin (/ PI l)) (cos (/ PI l))) 0.638 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in l 0.638 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.638 * [taylor]: Taking taylor expansion of PI in l 0.638 * [taylor]: Taking taylor expansion of l in l 0.638 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in l 0.638 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.638 * [taylor]: Taking taylor expansion of PI in l 0.638 * [taylor]: Taking taylor expansion of l in l 0.639 * [taylor]: Taking taylor expansion of (tan (/ PI l)) in l 0.639 * [taylor]: Rewrote expression to (/ (sin (/ PI l)) (cos (/ PI l))) 0.639 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in l 0.639 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.639 * [taylor]: Taking taylor expansion of PI in l 0.639 * [taylor]: Taking taylor expansion of l in l 0.639 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in l 0.639 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.639 * [taylor]: Taking taylor expansion of PI in l 0.639 * [taylor]: Taking taylor expansion of l in l 0.642 * [approximate]: Taking taylor expansion of (tan (* -1 (/ PI l))) in (l) around 0 0.642 * [taylor]: Taking taylor expansion of (tan (* -1 (/ PI l))) in l 0.642 * [taylor]: Rewrote expression to (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 0.642 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in l 0.642 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 0.642 * [taylor]: Taking taylor expansion of -1 in l 0.642 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.642 * [taylor]: Taking taylor expansion of PI in l 0.642 * [taylor]: Taking taylor expansion of l in l 0.643 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in l 0.643 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 0.643 * [taylor]: Taking taylor expansion of -1 in l 0.643 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.643 * [taylor]: Taking taylor expansion of PI in l 0.643 * [taylor]: Taking taylor expansion of l in l 0.644 * [taylor]: Taking taylor expansion of (tan (* -1 (/ PI l))) in l 0.644 * [taylor]: Rewrote expression to (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 0.644 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in l 0.644 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 0.644 * [taylor]: Taking taylor expansion of -1 in l 0.644 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.644 * [taylor]: Taking taylor expansion of PI in l 0.644 * [taylor]: Taking taylor expansion of l in l 0.644 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in l 0.644 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 0.644 * [taylor]: Taking taylor expansion of -1 in l 0.644 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.644 * [taylor]: Taking taylor expansion of PI in l 0.644 * [taylor]: Taking taylor expansion of l in l 0.648 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 0.648 * [approximate]: Taking taylor expansion of (* 1.0 (/ (tan (* PI l)) (pow F 2))) in (F l) around 0 0.648 * [taylor]: Taking taylor expansion of (* 1.0 (/ (tan (* PI l)) (pow F 2))) in l 0.648 * [taylor]: Taking taylor expansion of 1.0 in l 0.648 * [taylor]: Taking taylor expansion of (/ (tan (* PI l)) (pow F 2)) in l 0.648 * [taylor]: Taking taylor expansion of (tan (* PI l)) in l 0.648 * [taylor]: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) 0.648 * [taylor]: Taking taylor expansion of (sin (* PI l)) in l 0.648 * [taylor]: Taking taylor expansion of (* PI l) in l 0.648 * [taylor]: Taking taylor expansion of PI in l 0.648 * [taylor]: Taking taylor expansion of l in l 0.649 * [taylor]: Taking taylor expansion of (cos (* PI l)) in l 0.649 * [taylor]: Taking taylor expansion of (* PI l) in l 0.649 * [taylor]: Taking taylor expansion of PI in l 0.649 * [taylor]: Taking taylor expansion of l in l 0.652 * [taylor]: Taking taylor expansion of (pow F 2) in l 0.652 * [taylor]: Taking taylor expansion of F in l 0.653 * [taylor]: Taking taylor expansion of (* 1.0 (/ (tan (* PI l)) (pow F 2))) in F 0.653 * [taylor]: Taking taylor expansion of 1.0 in F 0.653 * [taylor]: Taking taylor expansion of (/ (tan (* PI l)) (pow F 2)) in F 0.653 * [taylor]: Taking taylor expansion of (tan (* PI l)) in F 0.653 * [taylor]: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) 0.653 * [taylor]: Taking taylor expansion of (sin (* PI l)) in F 0.653 * [taylor]: Taking taylor expansion of (* PI l) in F 0.653 * [taylor]: Taking taylor expansion of PI in F 0.653 * [taylor]: Taking taylor expansion of l in F 0.653 * [taylor]: Taking taylor expansion of (cos (* PI l)) in F 0.653 * [taylor]: Taking taylor expansion of (* PI l) in F 0.653 * [taylor]: Taking taylor expansion of PI in F 0.653 * [taylor]: Taking taylor expansion of l in F 0.654 * [taylor]: Taking taylor expansion of (pow F 2) in F 0.654 * [taylor]: Taking taylor expansion of F in F 0.655 * [taylor]: Taking taylor expansion of (* 1.0 (/ (tan (* PI l)) (pow F 2))) in F 0.655 * [taylor]: Taking taylor expansion of 1.0 in F 0.655 * [taylor]: Taking taylor expansion of (/ (tan (* PI l)) (pow F 2)) in F 0.655 * [taylor]: Taking taylor expansion of (tan (* PI l)) in F 0.655 * [taylor]: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) 0.655 * [taylor]: Taking taylor expansion of (sin (* PI l)) in F 0.655 * [taylor]: Taking taylor expansion of (* PI l) in F 0.655 * [taylor]: Taking taylor expansion of PI in F 0.655 * [taylor]: Taking taylor expansion of l in F 0.655 * [taylor]: Taking taylor expansion of (cos (* PI l)) in F 0.655 * [taylor]: Taking taylor expansion of (* PI l) in F 0.655 * [taylor]: Taking taylor expansion of PI in F 0.655 * [taylor]: Taking taylor expansion of l in F 0.656 * [taylor]: Taking taylor expansion of (pow F 2) in F 0.656 * [taylor]: Taking taylor expansion of F in F 0.656 * [taylor]: Taking taylor expansion of (* 1.0 (/ (sin (* PI l)) (cos (* PI l)))) in l 0.656 * [taylor]: Taking taylor expansion of 1.0 in l 0.656 * [taylor]: Taking taylor expansion of (/ (sin (* PI l)) (cos (* PI l))) in l 0.656 * [taylor]: Taking taylor expansion of (sin (* PI l)) in l 0.656 * [taylor]: Taking taylor expansion of (* PI l) in l 0.656 * [taylor]: Taking taylor expansion of PI in l 0.656 * [taylor]: Taking taylor expansion of l in l 0.658 * [taylor]: Taking taylor expansion of (cos (* PI l)) in l 0.658 * [taylor]: Taking taylor expansion of (* PI l) in l 0.658 * [taylor]: Taking taylor expansion of PI in l 0.658 * [taylor]: Taking taylor expansion of l in l 0.666 * [taylor]: Taking taylor expansion of 0 in l 0.675 * [taylor]: Taking taylor expansion of 0 in l 0.698 * [taylor]: Taking taylor expansion of 0 in l 0.717 * [taylor]: Taking taylor expansion of 0 in l 0.718 * [approximate]: Taking taylor expansion of (* 1.0 (* (tan (/ PI l)) (pow F 2))) in (F l) around 0 0.718 * [taylor]: Taking taylor expansion of (* 1.0 (* (tan (/ PI l)) (pow F 2))) in l 0.718 * [taylor]: Taking taylor expansion of 1.0 in l 0.719 * [taylor]: Taking taylor expansion of (* (tan (/ PI l)) (pow F 2)) in l 0.719 * [taylor]: Taking taylor expansion of (tan (/ PI l)) in l 0.719 * [taylor]: Rewrote expression to (/ (sin (/ PI l)) (cos (/ PI l))) 0.719 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in l 0.719 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.719 * [taylor]: Taking taylor expansion of PI in l 0.719 * [taylor]: Taking taylor expansion of l in l 0.719 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in l 0.719 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.719 * [taylor]: Taking taylor expansion of PI in l 0.719 * [taylor]: Taking taylor expansion of l in l 0.719 * [taylor]: Taking taylor expansion of (pow F 2) in l 0.719 * [taylor]: Taking taylor expansion of F in l 0.719 * [taylor]: Taking taylor expansion of (* 1.0 (* (tan (/ PI l)) (pow F 2))) in F 0.720 * [taylor]: Taking taylor expansion of 1.0 in F 0.720 * [taylor]: Taking taylor expansion of (* (tan (/ PI l)) (pow F 2)) in F 0.720 * [taylor]: Taking taylor expansion of (tan (/ PI l)) in F 0.720 * [taylor]: Rewrote expression to (/ (sin (/ PI l)) (cos (/ PI l))) 0.720 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in F 0.720 * [taylor]: Taking taylor expansion of (/ PI l) in F 0.720 * [taylor]: Taking taylor expansion of PI in F 0.720 * [taylor]: Taking taylor expansion of l in F 0.720 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in F 0.720 * [taylor]: Taking taylor expansion of (/ PI l) in F 0.720 * [taylor]: Taking taylor expansion of PI in F 0.720 * [taylor]: Taking taylor expansion of l in F 0.720 * [taylor]: Taking taylor expansion of (pow F 2) in F 0.720 * [taylor]: Taking taylor expansion of F in F 0.721 * [taylor]: Taking taylor expansion of (* 1.0 (* (tan (/ PI l)) (pow F 2))) in F 0.721 * [taylor]: Taking taylor expansion of 1.0 in F 0.721 * [taylor]: Taking taylor expansion of (* (tan (/ PI l)) (pow F 2)) in F 0.721 * [taylor]: Taking taylor expansion of (tan (/ PI l)) in F 0.721 * [taylor]: Rewrote expression to (/ (sin (/ PI l)) (cos (/ PI l))) 0.721 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in F 0.721 * [taylor]: Taking taylor expansion of (/ PI l) in F 0.721 * [taylor]: Taking taylor expansion of PI in F 0.721 * [taylor]: Taking taylor expansion of l in F 0.721 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in F 0.721 * [taylor]: Taking taylor expansion of (/ PI l) in F 0.721 * [taylor]: Taking taylor expansion of PI in F 0.721 * [taylor]: Taking taylor expansion of l in F 0.721 * [taylor]: Taking taylor expansion of (pow F 2) in F 0.721 * [taylor]: Taking taylor expansion of F in F 0.722 * [taylor]: Taking taylor expansion of (* 1.0 (/ (sin (/ PI l)) (cos (/ PI l)))) in l 0.722 * [taylor]: Taking taylor expansion of 1.0 in l 0.722 * [taylor]: Taking taylor expansion of (/ (sin (/ PI l)) (cos (/ PI l))) in l 0.722 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in l 0.722 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.722 * [taylor]: Taking taylor expansion of PI in l 0.722 * [taylor]: Taking taylor expansion of l in l 0.722 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in l 0.722 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.722 * [taylor]: Taking taylor expansion of PI in l 0.722 * [taylor]: Taking taylor expansion of l in l 0.727 * [taylor]: Taking taylor expansion of 0 in l 0.733 * [taylor]: Taking taylor expansion of 0 in l 0.741 * [taylor]: Taking taylor expansion of 0 in l 0.741 * [approximate]: Taking taylor expansion of (* 1.0 (* (tan (* -1 (/ PI l))) (pow F 2))) in (F l) around 0 0.741 * [taylor]: Taking taylor expansion of (* 1.0 (* (tan (* -1 (/ PI l))) (pow F 2))) in l 0.741 * [taylor]: Taking taylor expansion of 1.0 in l 0.741 * [taylor]: Taking taylor expansion of (* (tan (* -1 (/ PI l))) (pow F 2)) in l 0.741 * [taylor]: Taking taylor expansion of (tan (* -1 (/ PI l))) in l 0.741 * [taylor]: Rewrote expression to (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 0.741 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in l 0.741 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 0.741 * [taylor]: Taking taylor expansion of -1 in l 0.742 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.742 * [taylor]: Taking taylor expansion of PI in l 0.742 * [taylor]: Taking taylor expansion of l in l 0.742 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in l 0.742 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 0.742 * [taylor]: Taking taylor expansion of -1 in l 0.742 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.742 * [taylor]: Taking taylor expansion of PI in l 0.742 * [taylor]: Taking taylor expansion of l in l 0.743 * [taylor]: Taking taylor expansion of (pow F 2) in l 0.743 * [taylor]: Taking taylor expansion of F in l 0.743 * [taylor]: Taking taylor expansion of (* 1.0 (* (tan (* -1 (/ PI l))) (pow F 2))) in F 0.743 * [taylor]: Taking taylor expansion of 1.0 in F 0.743 * [taylor]: Taking taylor expansion of (* (tan (* -1 (/ PI l))) (pow F 2)) in F 0.743 * [taylor]: Taking taylor expansion of (tan (* -1 (/ PI l))) in F 0.743 * [taylor]: Rewrote expression to (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 0.743 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in F 0.743 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in F 0.743 * [taylor]: Taking taylor expansion of -1 in F 0.743 * [taylor]: Taking taylor expansion of (/ PI l) in F 0.743 * [taylor]: Taking taylor expansion of PI in F 0.743 * [taylor]: Taking taylor expansion of l in F 0.743 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in F 0.743 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in F 0.743 * [taylor]: Taking taylor expansion of -1 in F 0.743 * [taylor]: Taking taylor expansion of (/ PI l) in F 0.743 * [taylor]: Taking taylor expansion of PI in F 0.743 * [taylor]: Taking taylor expansion of l in F 0.744 * [taylor]: Taking taylor expansion of (pow F 2) in F 0.744 * [taylor]: Taking taylor expansion of F in F 0.744 * [taylor]: Taking taylor expansion of (* 1.0 (* (tan (* -1 (/ PI l))) (pow F 2))) in F 0.744 * [taylor]: Taking taylor expansion of 1.0 in F 0.744 * [taylor]: Taking taylor expansion of (* (tan (* -1 (/ PI l))) (pow F 2)) in F 0.744 * [taylor]: Taking taylor expansion of (tan (* -1 (/ PI l))) in F 0.744 * [taylor]: Rewrote expression to (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 0.744 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in F 0.744 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in F 0.744 * [taylor]: Taking taylor expansion of -1 in F 0.744 * [taylor]: Taking taylor expansion of (/ PI l) in F 0.744 * [taylor]: Taking taylor expansion of PI in F 0.744 * [taylor]: Taking taylor expansion of l in F 0.745 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in F 0.745 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in F 0.745 * [taylor]: Taking taylor expansion of -1 in F 0.745 * [taylor]: Taking taylor expansion of (/ PI l) in F 0.745 * [taylor]: Taking taylor expansion of PI in F 0.745 * [taylor]: Taking taylor expansion of l in F 0.745 * [taylor]: Taking taylor expansion of (pow F 2) in F 0.745 * [taylor]: Taking taylor expansion of F in F 0.746 * [taylor]: Taking taylor expansion of (* 1.0 (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l))))) in l 0.746 * [taylor]: Taking taylor expansion of 1.0 in l 0.746 * [taylor]: Taking taylor expansion of (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) in l 0.746 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in l 0.746 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 0.746 * [taylor]: Taking taylor expansion of -1 in l 0.746 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.746 * [taylor]: Taking taylor expansion of PI in l 0.746 * [taylor]: Taking taylor expansion of l in l 0.747 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in l 0.747 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 0.747 * [taylor]: Taking taylor expansion of -1 in l 0.747 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.747 * [taylor]: Taking taylor expansion of PI in l 0.747 * [taylor]: Taking taylor expansion of l in l 0.752 * [taylor]: Taking taylor expansion of 0 in l 0.760 * [taylor]: Taking taylor expansion of 0 in l 0.769 * [taylor]: Taking taylor expansion of 0 in l 0.769 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 0.769 * [approximate]: Taking taylor expansion of (/ 1.0 (pow F 2)) in (F) around 0 0.769 * [taylor]: Taking taylor expansion of (/ 1.0 (pow F 2)) in F 0.769 * [taylor]: Taking taylor expansion of 1.0 in F 0.769 * [taylor]: Taking taylor expansion of (pow F 2) in F 0.769 * [taylor]: Taking taylor expansion of F in F 0.770 * [taylor]: Taking taylor expansion of (/ 1.0 (pow F 2)) in F 0.770 * [taylor]: Taking taylor expansion of 1.0 in F 0.770 * [taylor]: Taking taylor expansion of (pow F 2) in F 0.770 * [taylor]: Taking taylor expansion of F in F 0.777 * [approximate]: Taking taylor expansion of (* 1.0 (pow F 2)) in (F) around 0 0.777 * [taylor]: Taking taylor expansion of (* 1.0 (pow F 2)) in F 0.777 * [taylor]: Taking taylor expansion of 1.0 in F 0.777 * [taylor]: Taking taylor expansion of (pow F 2) in F 0.777 * [taylor]: Taking taylor expansion of F in F 0.777 * [taylor]: Taking taylor expansion of (* 1.0 (pow F 2)) in F 0.777 * [taylor]: Taking taylor expansion of 1.0 in F 0.777 * [taylor]: Taking taylor expansion of (pow F 2) in F 0.777 * [taylor]: Taking taylor expansion of F in F 0.784 * [approximate]: Taking taylor expansion of (* 1.0 (pow F 2)) in (F) around 0 0.784 * [taylor]: Taking taylor expansion of (* 1.0 (pow F 2)) in F 0.784 * [taylor]: Taking taylor expansion of 1.0 in F 0.784 * [taylor]: Taking taylor expansion of (pow F 2) in F 0.784 * [taylor]: Taking taylor expansion of F in F 0.784 * [taylor]: Taking taylor expansion of (* 1.0 (pow F 2)) in F 0.784 * [taylor]: Taking taylor expansion of 1.0 in F 0.784 * [taylor]: Taking taylor expansion of (pow F 2) in F 0.784 * [taylor]: Taking taylor expansion of F in F 0.792 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 0.792 * [approximate]: Taking taylor expansion of (* PI l) in (l) around 0 0.792 * [taylor]: Taking taylor expansion of (* PI l) in l 0.792 * [taylor]: Taking taylor expansion of PI in l 0.792 * [taylor]: Taking taylor expansion of l in l 0.792 * [taylor]: Taking taylor expansion of (* PI l) in l 0.792 * [taylor]: Taking taylor expansion of PI in l 0.792 * [taylor]: Taking taylor expansion of l in l 0.798 * [approximate]: Taking taylor expansion of (/ PI l) in (l) around 0 0.798 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.798 * [taylor]: Taking taylor expansion of PI in l 0.798 * [taylor]: Taking taylor expansion of l in l 0.798 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.798 * [taylor]: Taking taylor expansion of PI in l 0.798 * [taylor]: Taking taylor expansion of l in l 0.804 * [approximate]: Taking taylor expansion of (* -1 (/ PI l)) in (l) around 0 0.804 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 0.804 * [taylor]: Taking taylor expansion of -1 in l 0.804 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.804 * [taylor]: Taking taylor expansion of PI in l 0.804 * [taylor]: Taking taylor expansion of l in l 0.805 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 0.805 * [taylor]: Taking taylor expansion of -1 in l 0.805 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.805 * [taylor]: Taking taylor expansion of PI in l 0.805 * [taylor]: Taking taylor expansion of l in l 0.813 * * * [progress]: simplifying candidates 0.815 * [simplify]: Simplifying using # : (sin (* PI l)) (cos (* PI l)) (log (tan (* PI l))) (exp (tan (* PI l))) (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l)))) (cbrt (tan (* PI l))) (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (sqrt (tan (* PI l))) (sqrt (tan (* PI l))) (* (/ 1.0 (* F F)) (tan (* PI l))) (+ (- (log 1.0) (+ (log F) (log F))) (log (tan (* PI l)))) (+ (- (log 1.0) (log (* F F))) (log (tan (* PI l)))) (+ (log (/ 1.0 (* F F))) (log (tan (* PI l)))) (log (* (/ 1.0 (* F F)) (tan (* PI l)))) (exp (* (/ 1.0 (* F F)) (tan (* PI l)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (* F F) F) (* (* F F) F))) (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (* F F) (* F F)) (* F F))) (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l)))) (* (* (* (/ 1.0 (* F F)) (/ 1.0 (* F F))) (/ 1.0 (* F F))) (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l)))) (* (cbrt (* (/ 1.0 (* F F)) (tan (* PI l)))) (cbrt (* (/ 1.0 (* F F)) (tan (* PI l))))) (cbrt (* (/ 1.0 (* F F)) (tan (* PI l)))) (* (* (* (/ 1.0 (* F F)) (tan (* PI l))) (* (/ 1.0 (* F F)) (tan (* PI l)))) (* (/ 1.0 (* F F)) (tan (* PI l)))) (sqrt (* (/ 1.0 (* F F)) (tan (* PI l)))) (sqrt (* (/ 1.0 (* F F)) (tan (* PI l)))) (* 1.0 (sin (* PI l))) (* (* F F) (cos (* PI l))) (* (sqrt (/ 1.0 (* F F))) (sqrt (tan (* PI l)))) (* (sqrt (/ 1.0 (* F F))) (sqrt (tan (* PI l)))) (* (/ (sqrt 1.0) F) (sqrt (tan (* PI l)))) (* (/ (sqrt 1.0) F) (sqrt (tan (* PI l)))) (* (/ 1.0 (* F F)) (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l))))) (* (/ 1.0 (* F F)) (sqrt (tan (* PI l)))) (* (/ 1.0 (* F F)) 1) (* (cbrt (/ 1.0 (* F F))) (tan (* PI l))) (* (sqrt (/ 1.0 (* F F))) (tan (* PI l))) (* (/ (cbrt 1.0) F) (tan (* PI l))) (* (/ (sqrt 1.0) F) (tan (* PI l))) (* (/ 1.0 F) (tan (* PI l))) (* (/ 1.0 (* F F)) (tan (* PI l))) (* (/ 1 (* F F)) (tan (* PI l))) (* (/ 1.0 (* F F)) (sin (* PI l))) (* 1.0 (tan (* PI l))) (- (log 1.0) (+ (log F) (log F))) (- (log 1.0) (log (* F F))) (log (/ 1.0 (* F F))) (exp (/ 1.0 (* F F))) (/ (* (* 1.0 1.0) 1.0) (* (* (* F F) F) (* (* F F) F))) (/ (* (* 1.0 1.0) 1.0) (* (* (* F F) (* F F)) (* F F))) (* (cbrt (/ 1.0 (* F F))) (cbrt (/ 1.0 (* F F)))) (cbrt (/ 1.0 (* F F))) (* (* (/ 1.0 (* F F)) (/ 1.0 (* F F))) (/ 1.0 (* F F))) (sqrt (/ 1.0 (* F F))) (sqrt (/ 1.0 (* F F))) (- 1.0) (- (* F F)) (/ (* (cbrt 1.0) (cbrt 1.0)) F) (/ (cbrt 1.0) F) (/ (sqrt 1.0) F) (/ (sqrt 1.0) F) (/ 1 F) (/ 1.0 F) (/ 1 (* F F)) (/ (* F F) 1.0) (/ 1.0 F) (/ (* F F) (cbrt 1.0)) (/ (* F F) (sqrt 1.0)) (/ (* F F) 1.0) (* PI l) (+ (log PI) (log l)) (log (* PI l)) (exp (* PI l)) (* (* (* PI PI) PI) (* (* l l) l)) (* (cbrt (* PI l)) (cbrt (* PI l))) (cbrt (* PI l)) (* (* (* PI l) (* PI l)) (* PI l)) (sqrt (* PI l)) (sqrt (* PI l)) (* (sqrt PI) (sqrt l)) (* (sqrt PI) (sqrt l)) (* PI (* (cbrt l) (cbrt l))) (* PI (sqrt l)) (* PI 1) (* (cbrt PI) l) (* (sqrt PI) l) (* PI l) (+ (* 2/15 (* (pow PI 5) (pow l 5))) (+ (* PI l) (* 1/3 (* (pow PI 3) (pow l 3))))) (/ (sin (* PI l)) (cos (* PI l))) (/ (sin (* PI l)) (cos (* PI l))) (+ (* 1.0 (/ (* PI l) (pow F 2))) (* 0.3333333333333333 (/ (* (pow PI 3) (pow l 3)) (pow F 2)))) (* 1.0 (/ (sin (* PI l)) (* (cos (* PI l)) (pow F 2)))) (* 1.0 (/ (sin (* PI l)) (* (cos (* PI l)) (pow F 2)))) (/ 1.0 (pow F 2)) (/ 1.0 (pow F 2)) (/ 1.0 (pow F 2)) (* PI l) (* PI l) (* PI l) 0.815 * [simplify]: Sending expressions to egg_math: (sin (* PI h0)) (cos (* PI h0)) (log (tan (* PI h0))) (exp (tan (* PI h0))) (* (cbrt (tan (* PI h0))) (cbrt (tan (* PI h0)))) (cbrt (tan (* PI h0))) (* (* (tan (* PI h0)) (tan (* PI h0))) (tan (* PI h0))) (sqrt (tan (* PI h0))) (sqrt (tan (* PI h0))) (* (/ h1 (* h2 h2)) (tan (* PI h0))) (+ (- (log h1) (+ (log h2) (log h2))) (log (tan (* PI h0)))) (+ (- (log h1) (log (* h2 h2))) (log (tan (* PI h0)))) (+ (log (/ h1 (* h2 h2))) (log (tan (* PI h0)))) (log (* (/ h1 (* h2 h2)) (tan (* PI h0)))) (exp (* (/ h1 (* h2 h2)) (tan (* PI h0)))) (* (/ (* (* h1 h1) h1) (* (* (* h2 h2) h2) (* (* h2 h2) h2))) (* (* (tan (* PI h0)) (tan (* PI h0))) (tan (* PI h0)))) (* (/ (* (* h1 h1) h1) (* (* (* h2 h2) (* h2 h2)) (* h2 h2))) (* (* (tan (* PI h0)) (tan (* PI h0))) (tan (* PI h0)))) (* (* (* (/ h1 (* h2 h2)) (/ h1 (* h2 h2))) (/ h1 (* h2 h2))) (* (* (tan (* PI h0)) (tan (* PI h0))) (tan (* PI h0)))) (* (cbrt (* (/ h1 (* h2 h2)) (tan (* PI h0)))) (cbrt (* (/ h1 (* h2 h2)) (tan (* PI h0))))) (cbrt (* (/ h1 (* h2 h2)) (tan (* PI h0)))) (* (* (* (/ h1 (* h2 h2)) (tan (* PI h0))) (* (/ h1 (* h2 h2)) (tan (* PI h0)))) (* (/ h1 (* h2 h2)) (tan (* PI h0)))) (sqrt (* (/ h1 (* h2 h2)) (tan (* PI h0)))) (sqrt (* (/ h1 (* h2 h2)) (tan (* PI h0)))) (* h1 (sin (* PI h0))) (* (* h2 h2) (cos (* PI h0))) (* (sqrt (/ h1 (* h2 h2))) (sqrt (tan (* PI h0)))) (* (sqrt (/ h1 (* h2 h2))) (sqrt (tan (* PI h0)))) (* (/ (sqrt h1) h2) (sqrt (tan (* PI h0)))) (* (/ (sqrt h1) h2) (sqrt (tan (* PI h0)))) (* (/ h1 (* h2 h2)) (* (cbrt (tan (* PI h0))) (cbrt (tan (* PI h0))))) (* (/ h1 (* h2 h2)) (sqrt (tan (* PI h0)))) (* (/ h1 (* h2 h2)) 1) (* (cbrt (/ h1 (* h2 h2))) (tan (* PI h0))) (* (sqrt (/ h1 (* h2 h2))) (tan (* PI h0))) (* (/ (cbrt h1) h2) (tan (* PI h0))) (* (/ (sqrt h1) h2) (tan (* PI h0))) (* (/ h1 h2) (tan (* PI h0))) (* (/ h1 (* h2 h2)) (tan (* PI h0))) (* (/ 1 (* h2 h2)) (tan (* PI h0))) (* (/ h1 (* h2 h2)) (sin (* PI h0))) (* h1 (tan (* PI h0))) (- (log h1) (+ (log h2) (log h2))) (- (log h1) (log (* h2 h2))) (log (/ h1 (* h2 h2))) (exp (/ h1 (* h2 h2))) (/ (* (* h1 h1) h1) (* (* (* h2 h2) h2) (* (* h2 h2) h2))) (/ (* (* h1 h1) h1) (* (* (* h2 h2) (* h2 h2)) (* h2 h2))) (* (cbrt (/ h1 (* h2 h2))) (cbrt (/ h1 (* h2 h2)))) (cbrt (/ h1 (* h2 h2))) (* (* (/ h1 (* h2 h2)) (/ h1 (* h2 h2))) (/ h1 (* h2 h2))) (sqrt (/ h1 (* h2 h2))) (sqrt (/ h1 (* h2 h2))) (- h1) (- (* h2 h2)) (/ (* (cbrt h1) (cbrt h1)) h2) (/ (cbrt h1) h2) (/ (sqrt h1) h2) (/ (sqrt h1) h2) (/ 1 h2) (/ h1 h2) (/ 1 (* h2 h2)) (/ (* h2 h2) h1) (/ h1 h2) (/ (* h2 h2) (cbrt h1)) (/ (* h2 h2) (sqrt h1)) (/ (* h2 h2) h1) (* PI h0) (+ (log PI) (log h0)) (log (* PI h0)) (exp (* PI h0)) (* (* (* PI PI) PI) (* (* h0 h0) h0)) (* (cbrt (* PI h0)) (cbrt (* PI h0))) (cbrt (* PI h0)) (* (* (* PI h0) (* PI h0)) (* PI h0)) (sqrt (* PI h0)) (sqrt (* PI h0)) (* (sqrt PI) (sqrt h0)) (* (sqrt PI) (sqrt h0)) (* PI (* (cbrt h0) (cbrt h0))) (* PI (sqrt h0)) (* PI 1) (* (cbrt PI) h0) (* (sqrt PI) h0) (* PI h0) (+ (* 2/15 (* (pow PI 5) (pow h0 5))) (+ (* PI h0) (* 1/3 (* (pow PI 3) (pow h0 3))))) (/ (sin (* PI h0)) (cos (* PI h0))) (/ (sin (* PI h0)) (cos (* PI h0))) (+ (* h1 (/ (* PI h0) (pow h2 2))) (* h3 (/ (* (pow PI 3) (pow h0 3)) (pow h2 2)))) (* h1 (/ (sin (* PI h0)) (* (cos (* PI h0)) (pow h2 2)))) (* h1 (/ (sin (* PI h0)) (* (cos (* PI h0)) (pow h2 2)))) (/ h1 (pow h2 2)) (/ h1 (pow h2 2)) (/ h1 (pow h2 2)) (* PI h0) (* PI h0) (* PI h0) 0.819 * * [simplify]: iteration 0 : 323 enodes (cost 443 ) 0.825 * * [simplify]: iteration 1 : 1416 enodes (cost 374 ) 0.851 * * [simplify]: iteration 2 : 5001 enodes (cost 374 ) 0.853 * [simplify]: Simplified to: (sin (* PI l)) (cos (* PI l)) (log (tan (* PI l))) (exp (tan (* PI l))) (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l)))) (cbrt (tan (* PI l))) (pow (tan (* PI l)) 3) (sqrt (tan (* PI l))) (sqrt (tan (* PI l))) (* (/ 1.0 (* F F)) (tan (* PI l))) (log (* (/ 1.0 (* F F)) (tan (* PI l)))) (log (* (/ 1.0 (* F F)) (tan (* PI l)))) (log (* (/ 1.0 (* F F)) (tan (* PI l)))) (log (* (/ 1.0 (* F F)) (tan (* PI l)))) (exp (* (/ 1.0 (* F F)) (tan (* PI l)))) (pow (* (/ 1.0 (* F F)) (tan (* PI l))) 3) (pow (* (/ 1.0 (* F F)) (tan (* PI l))) 3) (pow (* (/ 1.0 (* F F)) (tan (* PI l))) 3) (* (cbrt (* (/ 1.0 (* F F)) (tan (* PI l)))) (cbrt (* (/ 1.0 (* F F)) (tan (* PI l))))) (cbrt (* (/ 1.0 (* F F)) (tan (* PI l)))) (pow (* (/ 1.0 (* F F)) (tan (* PI l))) 3) (sqrt (* (/ 1.0 (* F F)) (tan (* PI l)))) (sqrt (* (/ 1.0 (* F F)) (tan (* PI l)))) (* 1.0 (sin (* PI l))) (* (* F F) (cos (* PI l))) (* (sqrt (/ 1.0 (* F F))) (sqrt (tan (* PI l)))) (* (sqrt (/ 1.0 (* F F))) (sqrt (tan (* PI l)))) (* (/ (sqrt 1.0) F) (sqrt (tan (* PI l)))) (* (/ (sqrt 1.0) F) (sqrt (tan (* PI l)))) (* (/ 1.0 (* F F)) (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l))))) (* (/ 1.0 (* F F)) (sqrt (tan (* PI l)))) (/ 1.0 (* F F)) (* (cbrt (/ 1.0 (* F F))) (tan (* PI l))) (* (sqrt (/ 1.0 (* F F))) (tan (* PI l))) (* (/ (cbrt 1.0) F) (tan (* PI l))) (* (/ (sqrt 1.0) F) (tan (* PI l))) (* (/ 1.0 F) (tan (* PI l))) (* (/ 1.0 (* F F)) (tan (* PI l))) (/ (tan (* PI l)) (pow F 2)) (* (/ 1.0 (* F F)) (sin (* PI l))) (* 1.0 (tan (* PI l))) (log (/ 1.0 (* F F))) (log (/ 1.0 (* F F))) (log (/ 1.0 (* F F))) (exp (/ 1.0 (* F F))) (pow (/ 1.0 (* F F)) 3) (pow (/ 1.0 (* F F)) 3) (* (cbrt (/ 1.0 (* F F))) (cbrt (/ 1.0 (* F F)))) (cbrt (/ 1.0 (* F F))) (pow (/ 1.0 (* F F)) 3) (sqrt (/ 1.0 (* F F))) (sqrt (/ 1.0 (* F F))) (- 1.0) (- (* F F)) (/ (* (cbrt 1.0) (cbrt 1.0)) F) (/ (cbrt 1.0) F) (/ (sqrt 1.0) F) (/ (sqrt 1.0) F) (/ 1 F) (/ 1.0 F) (/ 1 (* F F)) (/ (* F F) 1.0) (/ 1.0 F) (/ (* F F) (cbrt 1.0)) (/ (* F F) (sqrt 1.0)) (/ (* F F) 1.0) (* PI l) (log (* PI l)) (log (* PI l)) (exp (* PI l)) (pow (* PI l) 3) (* (cbrt (* PI l)) (cbrt (* PI l))) (cbrt (* PI l)) (pow (* PI l) 3) (sqrt (* PI l)) (sqrt (* PI l)) (* (sqrt PI) (sqrt l)) (* (sqrt PI) (sqrt l)) (* PI (* (cbrt l) (cbrt l))) (* PI (sqrt l)) PI (* (cbrt PI) l) (* (sqrt PI) l) (* PI l) (+ (* 2/15 (* (pow PI 5) (pow l 5))) (+ (* PI l) (* 1/3 (* (pow PI 3) (pow l 3))))) (/ (sin (* PI l)) (cos (* PI l))) (/ (sin (* PI l)) (cos (* PI l))) (+ (* 1.0 (/ (* PI l) (pow F 2))) (* 0.3333333333333333 (/ (* (pow PI 3) (pow l 3)) (pow F 2)))) (* 1.0 (/ (sin (* PI l)) (* (cos (* PI l)) (pow F 2)))) (* 1.0 (/ (sin (* PI l)) (* (cos (* PI l)) (pow F 2)))) (/ 1.0 (* F F)) (/ 1.0 (* F F)) (/ 1.0 (* F F)) (* PI l) (* PI l) (* PI l) 0.854 * * * [progress]: adding candidates to table 1.043 * * [progress]: iteration 2 / 4 1.043 * * * [progress]: picking best candidate 1.074 * * * * [pick]: Picked # 1.074 * * * [progress]: localizing error 1.085 * * * [progress]: generating rewritten candidates 1.085 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 1.093 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 1.126 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 2 1) 1.132 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.141 * * * [progress]: generating series expansions 1.141 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 1.141 * [approximate]: Taking taylor expansion of (tan (* PI l)) in (l) around 0 1.141 * [taylor]: Taking taylor expansion of (tan (* PI l)) in l 1.141 * [taylor]: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) 1.141 * [taylor]: Taking taylor expansion of (sin (* PI l)) in l 1.141 * [taylor]: Taking taylor expansion of (* PI l) in l 1.141 * [taylor]: Taking taylor expansion of PI in l 1.141 * [taylor]: Taking taylor expansion of l in l 1.143 * [taylor]: Taking taylor expansion of (cos (* PI l)) in l 1.143 * [taylor]: Taking taylor expansion of (* PI l) in l 1.143 * [taylor]: Taking taylor expansion of PI in l 1.143 * [taylor]: Taking taylor expansion of l in l 1.146 * [taylor]: Taking taylor expansion of (tan (* PI l)) in l 1.146 * [taylor]: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) 1.146 * [taylor]: Taking taylor expansion of (sin (* PI l)) in l 1.146 * [taylor]: Taking taylor expansion of (* PI l) in l 1.146 * [taylor]: Taking taylor expansion of PI in l 1.146 * [taylor]: Taking taylor expansion of l in l 1.147 * [taylor]: Taking taylor expansion of (cos (* PI l)) in l 1.147 * [taylor]: Taking taylor expansion of (* PI l) in l 1.147 * [taylor]: Taking taylor expansion of PI in l 1.147 * [taylor]: Taking taylor expansion of l in l 1.190 * [approximate]: Taking taylor expansion of (tan (/ PI l)) in (l) around 0 1.191 * [taylor]: Taking taylor expansion of (tan (/ PI l)) in l 1.191 * [taylor]: Rewrote expression to (/ (sin (/ PI l)) (cos (/ PI l))) 1.191 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in l 1.191 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.191 * [taylor]: Taking taylor expansion of PI in l 1.191 * [taylor]: Taking taylor expansion of l in l 1.191 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in l 1.191 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.191 * [taylor]: Taking taylor expansion of PI in l 1.191 * [taylor]: Taking taylor expansion of l in l 1.191 * [taylor]: Taking taylor expansion of (tan (/ PI l)) in l 1.192 * [taylor]: Rewrote expression to (/ (sin (/ PI l)) (cos (/ PI l))) 1.192 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in l 1.192 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.192 * [taylor]: Taking taylor expansion of PI in l 1.192 * [taylor]: Taking taylor expansion of l in l 1.192 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in l 1.192 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.192 * [taylor]: Taking taylor expansion of PI in l 1.192 * [taylor]: Taking taylor expansion of l in l 1.194 * [approximate]: Taking taylor expansion of (tan (* -1 (/ PI l))) in (l) around 0 1.194 * [taylor]: Taking taylor expansion of (tan (* -1 (/ PI l))) in l 1.194 * [taylor]: Rewrote expression to (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 1.195 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in l 1.195 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.195 * [taylor]: Taking taylor expansion of -1 in l 1.195 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.195 * [taylor]: Taking taylor expansion of PI in l 1.195 * [taylor]: Taking taylor expansion of l in l 1.195 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in l 1.195 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.195 * [taylor]: Taking taylor expansion of -1 in l 1.195 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.195 * [taylor]: Taking taylor expansion of PI in l 1.195 * [taylor]: Taking taylor expansion of l in l 1.196 * [taylor]: Taking taylor expansion of (tan (* -1 (/ PI l))) in l 1.196 * [taylor]: Rewrote expression to (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 1.196 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in l 1.196 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.196 * [taylor]: Taking taylor expansion of -1 in l 1.196 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.196 * [taylor]: Taking taylor expansion of PI in l 1.196 * [taylor]: Taking taylor expansion of l in l 1.197 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in l 1.197 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.197 * [taylor]: Taking taylor expansion of -1 in l 1.197 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.197 * [taylor]: Taking taylor expansion of PI in l 1.197 * [taylor]: Taking taylor expansion of l in l 1.203 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 1.203 * [approximate]: Taking taylor expansion of (* 1.0 (/ (tan (* PI l)) F)) in (F l) around 0 1.203 * [taylor]: Taking taylor expansion of (* 1.0 (/ (tan (* PI l)) F)) in l 1.203 * [taylor]: Taking taylor expansion of 1.0 in l 1.203 * [taylor]: Taking taylor expansion of (/ (tan (* PI l)) F) in l 1.203 * [taylor]: Taking taylor expansion of (tan (* PI l)) in l 1.203 * [taylor]: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) 1.203 * [taylor]: Taking taylor expansion of (sin (* PI l)) in l 1.203 * [taylor]: Taking taylor expansion of (* PI l) in l 1.203 * [taylor]: Taking taylor expansion of PI in l 1.203 * [taylor]: Taking taylor expansion of l in l 1.204 * [taylor]: Taking taylor expansion of (cos (* PI l)) in l 1.204 * [taylor]: Taking taylor expansion of (* PI l) in l 1.204 * [taylor]: Taking taylor expansion of PI in l 1.204 * [taylor]: Taking taylor expansion of l in l 1.207 * [taylor]: Taking taylor expansion of F in l 1.207 * [taylor]: Taking taylor expansion of (* 1.0 (/ (tan (* PI l)) F)) in F 1.207 * [taylor]: Taking taylor expansion of 1.0 in F 1.207 * [taylor]: Taking taylor expansion of (/ (tan (* PI l)) F) in F 1.207 * [taylor]: Taking taylor expansion of (tan (* PI l)) in F 1.207 * [taylor]: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) 1.207 * [taylor]: Taking taylor expansion of (sin (* PI l)) in F 1.207 * [taylor]: Taking taylor expansion of (* PI l) in F 1.207 * [taylor]: Taking taylor expansion of PI in F 1.207 * [taylor]: Taking taylor expansion of l in F 1.208 * [taylor]: Taking taylor expansion of (cos (* PI l)) in F 1.208 * [taylor]: Taking taylor expansion of (* PI l) in F 1.208 * [taylor]: Taking taylor expansion of PI in F 1.208 * [taylor]: Taking taylor expansion of l in F 1.208 * [taylor]: Taking taylor expansion of F in F 1.208 * [taylor]: Taking taylor expansion of (* 1.0 (/ (tan (* PI l)) F)) in F 1.208 * [taylor]: Taking taylor expansion of 1.0 in F 1.208 * [taylor]: Taking taylor expansion of (/ (tan (* PI l)) F) in F 1.208 * [taylor]: Taking taylor expansion of (tan (* PI l)) in F 1.208 * [taylor]: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) 1.208 * [taylor]: Taking taylor expansion of (sin (* PI l)) in F 1.209 * [taylor]: Taking taylor expansion of (* PI l) in F 1.209 * [taylor]: Taking taylor expansion of PI in F 1.209 * [taylor]: Taking taylor expansion of l in F 1.209 * [taylor]: Taking taylor expansion of (cos (* PI l)) in F 1.209 * [taylor]: Taking taylor expansion of (* PI l) in F 1.209 * [taylor]: Taking taylor expansion of PI in F 1.209 * [taylor]: Taking taylor expansion of l in F 1.209 * [taylor]: Taking taylor expansion of F in F 1.210 * [taylor]: Taking taylor expansion of (* 1.0 (/ (sin (* PI l)) (cos (* PI l)))) in l 1.210 * [taylor]: Taking taylor expansion of 1.0 in l 1.210 * [taylor]: Taking taylor expansion of (/ (sin (* PI l)) (cos (* PI l))) in l 1.210 * [taylor]: Taking taylor expansion of (sin (* PI l)) in l 1.210 * [taylor]: Taking taylor expansion of (* PI l) in l 1.210 * [taylor]: Taking taylor expansion of PI in l 1.210 * [taylor]: Taking taylor expansion of l in l 1.211 * [taylor]: Taking taylor expansion of (cos (* PI l)) in l 1.211 * [taylor]: Taking taylor expansion of (* PI l) in l 1.211 * [taylor]: Taking taylor expansion of PI in l 1.211 * [taylor]: Taking taylor expansion of l in l 1.219 * [taylor]: Taking taylor expansion of 0 in l 1.227 * [taylor]: Taking taylor expansion of 0 in l 1.249 * [taylor]: Taking taylor expansion of 0 in l 1.265 * [taylor]: Taking taylor expansion of 0 in l 1.266 * [approximate]: Taking taylor expansion of (* 1.0 (* (tan (/ PI l)) F)) in (F l) around 0 1.266 * [taylor]: Taking taylor expansion of (* 1.0 (* (tan (/ PI l)) F)) in l 1.266 * [taylor]: Taking taylor expansion of 1.0 in l 1.266 * [taylor]: Taking taylor expansion of (* (tan (/ PI l)) F) in l 1.266 * [taylor]: Taking taylor expansion of (tan (/ PI l)) in l 1.266 * [taylor]: Rewrote expression to (/ (sin (/ PI l)) (cos (/ PI l))) 1.267 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in l 1.267 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.267 * [taylor]: Taking taylor expansion of PI in l 1.267 * [taylor]: Taking taylor expansion of l in l 1.267 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in l 1.267 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.267 * [taylor]: Taking taylor expansion of PI in l 1.267 * [taylor]: Taking taylor expansion of l in l 1.267 * [taylor]: Taking taylor expansion of F in l 1.267 * [taylor]: Taking taylor expansion of (* 1.0 (* (tan (/ PI l)) F)) in F 1.267 * [taylor]: Taking taylor expansion of 1.0 in F 1.267 * [taylor]: Taking taylor expansion of (* (tan (/ PI l)) F) in F 1.267 * [taylor]: Taking taylor expansion of (tan (/ PI l)) in F 1.268 * [taylor]: Rewrote expression to (/ (sin (/ PI l)) (cos (/ PI l))) 1.268 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in F 1.268 * [taylor]: Taking taylor expansion of (/ PI l) in F 1.268 * [taylor]: Taking taylor expansion of PI in F 1.268 * [taylor]: Taking taylor expansion of l in F 1.268 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in F 1.268 * [taylor]: Taking taylor expansion of (/ PI l) in F 1.268 * [taylor]: Taking taylor expansion of PI in F 1.268 * [taylor]: Taking taylor expansion of l in F 1.268 * [taylor]: Taking taylor expansion of F in F 1.268 * [taylor]: Taking taylor expansion of (* 1.0 (* (tan (/ PI l)) F)) in F 1.268 * [taylor]: Taking taylor expansion of 1.0 in F 1.268 * [taylor]: Taking taylor expansion of (* (tan (/ PI l)) F) in F 1.268 * [taylor]: Taking taylor expansion of (tan (/ PI l)) in F 1.268 * [taylor]: Rewrote expression to (/ (sin (/ PI l)) (cos (/ PI l))) 1.268 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in F 1.269 * [taylor]: Taking taylor expansion of (/ PI l) in F 1.269 * [taylor]: Taking taylor expansion of PI in F 1.269 * [taylor]: Taking taylor expansion of l in F 1.269 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in F 1.269 * [taylor]: Taking taylor expansion of (/ PI l) in F 1.269 * [taylor]: Taking taylor expansion of PI in F 1.269 * [taylor]: Taking taylor expansion of l in F 1.269 * [taylor]: Taking taylor expansion of F in F 1.270 * [taylor]: Taking taylor expansion of 0 in l 1.273 * [taylor]: Taking taylor expansion of (* 1.0 (/ (sin (/ PI l)) (cos (/ PI l)))) in l 1.274 * [taylor]: Taking taylor expansion of 1.0 in l 1.274 * [taylor]: Taking taylor expansion of (/ (sin (/ PI l)) (cos (/ PI l))) in l 1.274 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in l 1.274 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.274 * [taylor]: Taking taylor expansion of PI in l 1.274 * [taylor]: Taking taylor expansion of l in l 1.274 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in l 1.274 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.274 * [taylor]: Taking taylor expansion of PI in l 1.274 * [taylor]: Taking taylor expansion of l in l 1.280 * [taylor]: Taking taylor expansion of 0 in l 1.289 * [taylor]: Taking taylor expansion of 0 in l 1.290 * [approximate]: Taking taylor expansion of (* -1.0 (* (tan (* -1 (/ PI l))) F)) in (F l) around 0 1.290 * [taylor]: Taking taylor expansion of (* -1.0 (* (tan (* -1 (/ PI l))) F)) in l 1.290 * [taylor]: Taking taylor expansion of -1.0 in l 1.290 * [taylor]: Taking taylor expansion of (* (tan (* -1 (/ PI l))) F) in l 1.290 * [taylor]: Taking taylor expansion of (tan (* -1 (/ PI l))) in l 1.290 * [taylor]: Rewrote expression to (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 1.290 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in l 1.290 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.290 * [taylor]: Taking taylor expansion of -1 in l 1.290 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.290 * [taylor]: Taking taylor expansion of PI in l 1.290 * [taylor]: Taking taylor expansion of l in l 1.291 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in l 1.291 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.291 * [taylor]: Taking taylor expansion of -1 in l 1.291 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.291 * [taylor]: Taking taylor expansion of PI in l 1.291 * [taylor]: Taking taylor expansion of l in l 1.292 * [taylor]: Taking taylor expansion of F in l 1.292 * [taylor]: Taking taylor expansion of (* -1.0 (* (tan (* -1 (/ PI l))) F)) in F 1.292 * [taylor]: Taking taylor expansion of -1.0 in F 1.292 * [taylor]: Taking taylor expansion of (* (tan (* -1 (/ PI l))) F) in F 1.292 * [taylor]: Taking taylor expansion of (tan (* -1 (/ PI l))) in F 1.292 * [taylor]: Rewrote expression to (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 1.292 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in F 1.292 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in F 1.292 * [taylor]: Taking taylor expansion of -1 in F 1.292 * [taylor]: Taking taylor expansion of (/ PI l) in F 1.292 * [taylor]: Taking taylor expansion of PI in F 1.292 * [taylor]: Taking taylor expansion of l in F 1.292 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in F 1.292 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in F 1.292 * [taylor]: Taking taylor expansion of -1 in F 1.292 * [taylor]: Taking taylor expansion of (/ PI l) in F 1.292 * [taylor]: Taking taylor expansion of PI in F 1.292 * [taylor]: Taking taylor expansion of l in F 1.293 * [taylor]: Taking taylor expansion of F in F 1.293 * [taylor]: Taking taylor expansion of (* -1.0 (* (tan (* -1 (/ PI l))) F)) in F 1.293 * [taylor]: Taking taylor expansion of -1.0 in F 1.293 * [taylor]: Taking taylor expansion of (* (tan (* -1 (/ PI l))) F) in F 1.293 * [taylor]: Taking taylor expansion of (tan (* -1 (/ PI l))) in F 1.293 * [taylor]: Rewrote expression to (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 1.293 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in F 1.293 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in F 1.293 * [taylor]: Taking taylor expansion of -1 in F 1.293 * [taylor]: Taking taylor expansion of (/ PI l) in F 1.293 * [taylor]: Taking taylor expansion of PI in F 1.293 * [taylor]: Taking taylor expansion of l in F 1.293 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in F 1.293 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in F 1.293 * [taylor]: Taking taylor expansion of -1 in F 1.293 * [taylor]: Taking taylor expansion of (/ PI l) in F 1.293 * [taylor]: Taking taylor expansion of PI in F 1.293 * [taylor]: Taking taylor expansion of l in F 1.294 * [taylor]: Taking taylor expansion of F in F 1.294 * [taylor]: Taking taylor expansion of 0 in l 1.299 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))))) in l 1.299 * [taylor]: Taking taylor expansion of (* 1.0 (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l))))) in l 1.299 * [taylor]: Taking taylor expansion of 1.0 in l 1.299 * [taylor]: Taking taylor expansion of (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) in l 1.299 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in l 1.299 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.299 * [taylor]: Taking taylor expansion of -1 in l 1.299 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.299 * [taylor]: Taking taylor expansion of PI in l 1.299 * [taylor]: Taking taylor expansion of l in l 1.300 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in l 1.300 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.300 * [taylor]: Taking taylor expansion of -1 in l 1.300 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.300 * [taylor]: Taking taylor expansion of PI in l 1.300 * [taylor]: Taking taylor expansion of l in l 1.307 * [taylor]: Taking taylor expansion of 0 in l 1.316 * [taylor]: Taking taylor expansion of 0 in l 1.317 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 2 1) 1.317 * [approximate]: Taking taylor expansion of (* PI l) in (l) around 0 1.317 * [taylor]: Taking taylor expansion of (* PI l) in l 1.317 * [taylor]: Taking taylor expansion of PI in l 1.317 * [taylor]: Taking taylor expansion of l in l 1.317 * [taylor]: Taking taylor expansion of (* PI l) in l 1.317 * [taylor]: Taking taylor expansion of PI in l 1.317 * [taylor]: Taking taylor expansion of l in l 1.322 * [approximate]: Taking taylor expansion of (/ PI l) in (l) around 0 1.322 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.322 * [taylor]: Taking taylor expansion of PI in l 1.322 * [taylor]: Taking taylor expansion of l in l 1.323 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.323 * [taylor]: Taking taylor expansion of PI in l 1.323 * [taylor]: Taking taylor expansion of l in l 1.327 * [approximate]: Taking taylor expansion of (* -1 (/ PI l)) in (l) around 0 1.327 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.327 * [taylor]: Taking taylor expansion of -1 in l 1.327 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.327 * [taylor]: Taking taylor expansion of PI in l 1.327 * [taylor]: Taking taylor expansion of l in l 1.327 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.327 * [taylor]: Taking taylor expansion of -1 in l 1.327 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.327 * [taylor]: Taking taylor expansion of PI in l 1.327 * [taylor]: Taking taylor expansion of l in l 1.335 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.335 * [approximate]: Taking taylor expansion of (* PI l) in (l) around 0 1.335 * [taylor]: Taking taylor expansion of (* PI l) in l 1.335 * [taylor]: Taking taylor expansion of PI in l 1.335 * [taylor]: Taking taylor expansion of l in l 1.335 * [taylor]: Taking taylor expansion of (* PI l) in l 1.335 * [taylor]: Taking taylor expansion of PI in l 1.335 * [taylor]: Taking taylor expansion of l in l 1.341 * [approximate]: Taking taylor expansion of (/ PI l) in (l) around 0 1.341 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.341 * [taylor]: Taking taylor expansion of PI in l 1.341 * [taylor]: Taking taylor expansion of l in l 1.341 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.341 * [taylor]: Taking taylor expansion of PI in l 1.341 * [taylor]: Taking taylor expansion of l in l 1.345 * [approximate]: Taking taylor expansion of (* -1 (/ PI l)) in (l) around 0 1.345 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.345 * [taylor]: Taking taylor expansion of -1 in l 1.345 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.345 * [taylor]: Taking taylor expansion of PI in l 1.345 * [taylor]: Taking taylor expansion of l in l 1.346 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.346 * [taylor]: Taking taylor expansion of -1 in l 1.346 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.346 * [taylor]: Taking taylor expansion of PI in l 1.346 * [taylor]: Taking taylor expansion of l in l 1.354 * * * [progress]: simplifying candidates 1.355 * [simplify]: Simplifying using # : (sin (* PI l)) (cos (* PI l)) (log (tan (* PI l))) (exp (tan (* PI l))) (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l)))) (cbrt (tan (* PI l))) (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (sqrt (tan (* PI l))) (sqrt (tan (* PI l))) (* (/ 1.0 F) (tan (* PI l))) (+ (- (log 1.0) (log F)) (log (tan (* PI l)))) (+ (log (/ 1.0 F)) (log (tan (* PI l)))) (log (* (/ 1.0 F) (tan (* PI l)))) (exp (* (/ 1.0 F) (tan (* PI l)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* F F) F)) (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l)))) (* (* (* (/ 1.0 F) (/ 1.0 F)) (/ 1.0 F)) (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l)))) (* (cbrt (* (/ 1.0 F) (tan (* PI l)))) (cbrt (* (/ 1.0 F) (tan (* PI l))))) (cbrt (* (/ 1.0 F) (tan (* PI l)))) (* (* (* (/ 1.0 F) (tan (* PI l))) (* (/ 1.0 F) (tan (* PI l)))) (* (/ 1.0 F) (tan (* PI l)))) (sqrt (* (/ 1.0 F) (tan (* PI l)))) (sqrt (* (/ 1.0 F) (tan (* PI l)))) (* 1.0 (sin (* PI l))) (* F (cos (* PI l))) (* (sqrt (/ 1.0 F)) (sqrt (tan (* PI l)))) (* (sqrt (/ 1.0 F)) (sqrt (tan (* PI l)))) (* (/ (sqrt 1.0) (sqrt F)) (sqrt (tan (* PI l)))) (* (/ (sqrt 1.0) (sqrt F)) (sqrt (tan (* PI l)))) (* (/ 1.0 F) (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l))))) (* (/ 1.0 F) (sqrt (tan (* PI l)))) (* (/ 1.0 F) 1) (* (cbrt (/ 1.0 F)) (tan (* PI l))) (* (sqrt (/ 1.0 F)) (tan (* PI l))) (* (/ (cbrt 1.0) (cbrt F)) (tan (* PI l))) (* (/ (cbrt 1.0) (sqrt F)) (tan (* PI l))) (* (/ (cbrt 1.0) F) (tan (* PI l))) (* (/ (sqrt 1.0) (cbrt F)) (tan (* PI l))) (* (/ (sqrt 1.0) (sqrt F)) (tan (* PI l))) (* (/ (sqrt 1.0) F) (tan (* PI l))) (* (/ 1.0 (cbrt F)) (tan (* PI l))) (* (/ 1.0 (sqrt F)) (tan (* PI l))) (* (/ 1.0 F) (tan (* PI l))) (* (/ 1.0 F) (tan (* PI l))) (* (/ 1 F) (tan (* PI l))) (* (/ 1.0 F) (sin (* PI l))) (* 1.0 (tan (* PI l))) (* PI l) (+ (log PI) (log l)) (log (* PI l)) (exp (* PI l)) (* (* (* PI PI) PI) (* (* l l) l)) (* (cbrt (* PI l)) (cbrt (* PI l))) (cbrt (* PI l)) (* (* (* PI l) (* PI l)) (* PI l)) (sqrt (* PI l)) (sqrt (* PI l)) (* (sqrt PI) (sqrt l)) (* (sqrt PI) (sqrt l)) (* PI (* (cbrt l) (cbrt l))) (* PI (sqrt l)) (* PI 1) (* (cbrt PI) l) (* (sqrt PI) l) (* PI l) (* PI l) (+ (log PI) (log l)) (log (* PI l)) (exp (* PI l)) (* (* (* PI PI) PI) (* (* l l) l)) (* (cbrt (* PI l)) (cbrt (* PI l))) (cbrt (* PI l)) (* (* (* PI l) (* PI l)) (* PI l)) (sqrt (* PI l)) (sqrt (* PI l)) (* (sqrt PI) (sqrt l)) (* (sqrt PI) (sqrt l)) (* PI (* (cbrt l) (cbrt l))) (* PI (sqrt l)) (* PI 1) (* (cbrt PI) l) (* (sqrt PI) l) (* PI l) (+ (* 2/15 (* (pow PI 5) (pow l 5))) (+ (* PI l) (* 1/3 (* (pow PI 3) (pow l 3))))) (/ (sin (* PI l)) (cos (* PI l))) (/ (sin (* PI l)) (cos (* PI l))) (+ (* 1.0 (/ (* PI l) F)) (* 0.3333333333333333 (/ (* (pow PI 3) (pow l 3)) F))) (* 1.0 (/ (sin (* PI l)) (* (cos (* PI l)) F))) (* 1.0 (/ (sin (* PI l)) (* (cos (* PI l)) F))) (* PI l) (* PI l) (* PI l) (* PI l) (* PI l) (* PI l) 1.355 * [simplify]: Sending expressions to egg_math: (sin (* PI h0)) (cos (* PI h0)) (log (tan (* PI h0))) (exp (tan (* PI h0))) (* (cbrt (tan (* PI h0))) (cbrt (tan (* PI h0)))) (cbrt (tan (* PI h0))) (* (* (tan (* PI h0)) (tan (* PI h0))) (tan (* PI h0))) (sqrt (tan (* PI h0))) (sqrt (tan (* PI h0))) (* (/ h1 h2) (tan (* PI h0))) (+ (- (log h1) (log h2)) (log (tan (* PI h0)))) (+ (log (/ h1 h2)) (log (tan (* PI h0)))) (log (* (/ h1 h2) (tan (* PI h0)))) (exp (* (/ h1 h2) (tan (* PI h0)))) (* (/ (* (* h1 h1) h1) (* (* h2 h2) h2)) (* (* (tan (* PI h0)) (tan (* PI h0))) (tan (* PI h0)))) (* (* (* (/ h1 h2) (/ h1 h2)) (/ h1 h2)) (* (* (tan (* PI h0)) (tan (* PI h0))) (tan (* PI h0)))) (* (cbrt (* (/ h1 h2) (tan (* PI h0)))) (cbrt (* (/ h1 h2) (tan (* PI h0))))) (cbrt (* (/ h1 h2) (tan (* PI h0)))) (* (* (* (/ h1 h2) (tan (* PI h0))) (* (/ h1 h2) (tan (* PI h0)))) (* (/ h1 h2) (tan (* PI h0)))) (sqrt (* (/ h1 h2) (tan (* PI h0)))) (sqrt (* (/ h1 h2) (tan (* PI h0)))) (* h1 (sin (* PI h0))) (* h2 (cos (* PI h0))) (* (sqrt (/ h1 h2)) (sqrt (tan (* PI h0)))) (* (sqrt (/ h1 h2)) (sqrt (tan (* PI h0)))) (* (/ (sqrt h1) (sqrt h2)) (sqrt (tan (* PI h0)))) (* (/ (sqrt h1) (sqrt h2)) (sqrt (tan (* PI h0)))) (* (/ h1 h2) (* (cbrt (tan (* PI h0))) (cbrt (tan (* PI h0))))) (* (/ h1 h2) (sqrt (tan (* PI h0)))) (* (/ h1 h2) 1) (* (cbrt (/ h1 h2)) (tan (* PI h0))) (* (sqrt (/ h1 h2)) (tan (* PI h0))) (* (/ (cbrt h1) (cbrt h2)) (tan (* PI h0))) (* (/ (cbrt h1) (sqrt h2)) (tan (* PI h0))) (* (/ (cbrt h1) h2) (tan (* PI h0))) (* (/ (sqrt h1) (cbrt h2)) (tan (* PI h0))) (* (/ (sqrt h1) (sqrt h2)) (tan (* PI h0))) (* (/ (sqrt h1) h2) (tan (* PI h0))) (* (/ h1 (cbrt h2)) (tan (* PI h0))) (* (/ h1 (sqrt h2)) (tan (* PI h0))) (* (/ h1 h2) (tan (* PI h0))) (* (/ h1 h2) (tan (* PI h0))) (* (/ 1 h2) (tan (* PI h0))) (* (/ h1 h2) (sin (* PI h0))) (* h1 (tan (* PI h0))) (* PI h0) (+ (log PI) (log h0)) (log (* PI h0)) (exp (* PI h0)) (* (* (* PI PI) PI) (* (* h0 h0) h0)) (* (cbrt (* PI h0)) (cbrt (* PI h0))) (cbrt (* PI h0)) (* (* (* PI h0) (* PI h0)) (* PI h0)) (sqrt (* PI h0)) (sqrt (* PI h0)) (* (sqrt PI) (sqrt h0)) (* (sqrt PI) (sqrt h0)) (* PI (* (cbrt h0) (cbrt h0))) (* PI (sqrt h0)) (* PI 1) (* (cbrt PI) h0) (* (sqrt PI) h0) (* PI h0) (* PI h0) (+ (log PI) (log h0)) (log (* PI h0)) (exp (* PI h0)) (* (* (* PI PI) PI) (* (* h0 h0) h0)) (* (cbrt (* PI h0)) (cbrt (* PI h0))) (cbrt (* PI h0)) (* (* (* PI h0) (* PI h0)) (* PI h0)) (sqrt (* PI h0)) (sqrt (* PI h0)) (* (sqrt PI) (sqrt h0)) (* (sqrt PI) (sqrt h0)) (* PI (* (cbrt h0) (cbrt h0))) (* PI (sqrt h0)) (* PI 1) (* (cbrt PI) h0) (* (sqrt PI) h0) (* PI h0) (+ (* 2/15 (* (pow PI 5) (pow h0 5))) (+ (* PI h0) (* 1/3 (* (pow PI 3) (pow h0 3))))) (/ (sin (* PI h0)) (cos (* PI h0))) (/ (sin (* PI h0)) (cos (* PI h0))) (+ (* h1 (/ (* PI h0) h2)) (* h3 (/ (* (pow PI 3) (pow h0 3)) h2))) (* h1 (/ (sin (* PI h0)) (* (cos (* PI h0)) h2))) (* h1 (/ (sin (* PI h0)) (* (cos (* PI h0)) h2))) (* PI h0) (* PI h0) (* PI h0) (* PI h0) (* PI h0) (* PI h0) 1.359 * * [simplify]: iteration 0 : 277 enodes (cost 382 ) 1.364 * * [simplify]: iteration 1 : 1009 enodes (cost 342 ) 1.382 * * [simplify]: iteration 2 : 3834 enodes (cost 341 ) 1.437 * * [simplify]: iteration 3 : 5001 enodes (cost 341 ) 1.438 * [simplify]: Simplified to: (sin (* PI l)) (cos (* PI l)) (log (tan (* PI l))) (exp (tan (* PI l))) (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l)))) (cbrt (tan (* PI l))) (pow (tan (* PI l)) 3) (sqrt (tan (* PI l))) (sqrt (tan (* PI l))) (* (/ 1.0 F) (tan (* PI l))) (log (* (/ 1.0 F) (tan (* PI l)))) (log (* (/ 1.0 F) (tan (* PI l)))) (log (* (/ 1.0 F) (tan (* PI l)))) (exp (* (/ 1.0 F) (tan (* PI l)))) (pow (* (/ 1.0 F) (tan (* PI l))) 3) (pow (* (/ 1.0 F) (tan (* PI l))) 3) (* (cbrt (* (/ 1.0 F) (tan (* PI l)))) (cbrt (* (/ 1.0 F) (tan (* PI l))))) (cbrt (* (/ 1.0 F) (tan (* PI l)))) (pow (* (/ 1.0 F) (tan (* PI l))) 3) (sqrt (* (/ 1.0 F) (tan (* PI l)))) (sqrt (* (/ 1.0 F) (tan (* PI l)))) (* 1.0 (sin (* PI l))) (* F (cos (* PI l))) (* (sqrt (/ 1.0 F)) (sqrt (tan (* PI l)))) (* (sqrt (/ 1.0 F)) (sqrt (tan (* PI l)))) (* (/ (sqrt 1.0) (sqrt F)) (sqrt (tan (* PI l)))) (* (/ (sqrt 1.0) (sqrt F)) (sqrt (tan (* PI l)))) (* (/ 1.0 F) (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l))))) (* (/ 1.0 F) (sqrt (tan (* PI l)))) (/ 1.0 F) (* (cbrt (/ 1.0 F)) (tan (* PI l))) (* (sqrt (/ 1.0 F)) (tan (* PI l))) (* (/ (cbrt 1.0) (cbrt F)) (tan (* PI l))) (* (/ (cbrt 1.0) (sqrt F)) (tan (* PI l))) (* (/ (cbrt 1.0) F) (tan (* PI l))) (* (/ (sqrt 1.0) (cbrt F)) (tan (* PI l))) (* (/ (sqrt 1.0) (sqrt F)) (tan (* PI l))) (* (/ (sqrt 1.0) F) (tan (* PI l))) (* (/ 1.0 (cbrt F)) (tan (* PI l))) (* (/ 1.0 (sqrt F)) (tan (* PI l))) (* (/ 1.0 F) (tan (* PI l))) (* (/ 1.0 F) (tan (* PI l))) (/ (tan (* PI l)) F) (* (/ 1.0 F) (sin (* PI l))) (* 1.0 (tan (* PI l))) (* PI l) (log (* PI l)) (log (* PI l)) (exp (* PI l)) (pow (* PI l) 3) (* (cbrt (* PI l)) (cbrt (* PI l))) (cbrt (* PI l)) (pow (* PI l) 3) (sqrt (* PI l)) (sqrt (* PI l)) (* (sqrt PI) (sqrt l)) (* (sqrt PI) (sqrt l)) (* PI (* (cbrt l) (cbrt l))) (* PI (sqrt l)) PI (* (cbrt PI) l) (* (sqrt PI) l) (* PI l) (* PI l) (log (* PI l)) (log (* PI l)) (exp (* PI l)) (pow (* PI l) 3) (* (cbrt (* PI l)) (cbrt (* PI l))) (cbrt (* PI l)) (pow (* PI l) 3) (sqrt (* PI l)) (sqrt (* PI l)) (* (sqrt PI) (sqrt l)) (* (sqrt PI) (sqrt l)) (* PI (* (cbrt l) (cbrt l))) (* PI (sqrt l)) PI (* (cbrt PI) l) (* (sqrt PI) l) (* PI l) (+ (* 2/15 (* (pow PI 5) (pow l 5))) (+ (* PI l) (* 1/3 (* (pow PI 3) (pow l 3))))) (/ (sin (* PI l)) (cos (* PI l))) (/ (sin (* PI l)) (cos (* PI l))) (+ (* 1.0 (/ (* PI l) F)) (* 0.3333333333333333 (/ (* (pow PI 3) (pow l 3)) F))) (* 1.0 (/ (sin (* PI l)) (* (cos (* PI l)) F))) (* 1.0 (/ (sin (* PI l)) (* (cos (* PI l)) F))) (* PI l) (* PI l) (* PI l) (* PI l) (* PI l) (* PI l) 1.439 * * * [progress]: adding candidates to table 1.644 * * [progress]: iteration 3 / 4 1.644 * * * [progress]: picking best candidate 1.687 * * * * [pick]: Picked # 1.687 * * * [progress]: localizing error 1.702 * * * [progress]: generating rewritten candidates 1.702 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2 2 1) 1.709 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 1) 1.716 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 2) 1.735 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 2 2 1 1) 1.745 * * * [progress]: generating series expansions 1.745 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2 2 1) 1.745 * [approximate]: Taking taylor expansion of (cos (* PI l)) in (l) around 0 1.745 * [taylor]: Taking taylor expansion of (cos (* PI l)) in l 1.745 * [taylor]: Taking taylor expansion of (* PI l) in l 1.745 * [taylor]: Taking taylor expansion of PI in l 1.745 * [taylor]: Taking taylor expansion of l in l 1.747 * [taylor]: Taking taylor expansion of (cos (* PI l)) in l 1.747 * [taylor]: Taking taylor expansion of (* PI l) in l 1.747 * [taylor]: Taking taylor expansion of PI in l 1.747 * [taylor]: Taking taylor expansion of l in l 1.759 * [approximate]: Taking taylor expansion of (cos (/ PI l)) in (l) around 0 1.759 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in l 1.759 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.759 * [taylor]: Taking taylor expansion of PI in l 1.759 * [taylor]: Taking taylor expansion of l in l 1.759 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in l 1.759 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.759 * [taylor]: Taking taylor expansion of PI in l 1.759 * [taylor]: Taking taylor expansion of l in l 1.760 * [approximate]: Taking taylor expansion of (cos (* -1 (/ PI l))) in (l) around 0 1.760 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in l 1.760 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.760 * [taylor]: Taking taylor expansion of -1 in l 1.760 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.760 * [taylor]: Taking taylor expansion of PI in l 1.760 * [taylor]: Taking taylor expansion of l in l 1.761 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in l 1.761 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.761 * [taylor]: Taking taylor expansion of -1 in l 1.761 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.761 * [taylor]: Taking taylor expansion of PI in l 1.761 * [taylor]: Taking taylor expansion of l in l 1.762 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 1) 1.762 * [approximate]: Taking taylor expansion of (sin (* PI l)) in (l) around 0 1.762 * [taylor]: Taking taylor expansion of (sin (* PI l)) in l 1.762 * [taylor]: Taking taylor expansion of (* PI l) in l 1.762 * [taylor]: Taking taylor expansion of PI in l 1.762 * [taylor]: Taking taylor expansion of l in l 1.763 * [taylor]: Taking taylor expansion of (sin (* PI l)) in l 1.763 * [taylor]: Taking taylor expansion of (* PI l) in l 1.763 * [taylor]: Taking taylor expansion of PI in l 1.763 * [taylor]: Taking taylor expansion of l in l 1.780 * [approximate]: Taking taylor expansion of (sin (/ PI l)) in (l) around 0 1.780 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in l 1.780 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.780 * [taylor]: Taking taylor expansion of PI in l 1.780 * [taylor]: Taking taylor expansion of l in l 1.780 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in l 1.780 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.780 * [taylor]: Taking taylor expansion of PI in l 1.780 * [taylor]: Taking taylor expansion of l in l 1.781 * [approximate]: Taking taylor expansion of (sin (* -1 (/ PI l))) in (l) around 0 1.781 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in l 1.781 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.781 * [taylor]: Taking taylor expansion of -1 in l 1.781 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.781 * [taylor]: Taking taylor expansion of PI in l 1.781 * [taylor]: Taking taylor expansion of l in l 1.782 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in l 1.782 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.782 * [taylor]: Taking taylor expansion of -1 in l 1.782 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.782 * [taylor]: Taking taylor expansion of PI in l 1.782 * [taylor]: Taking taylor expansion of l in l 1.782 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 2) 1.783 * [approximate]: Taking taylor expansion of (/ (sin (* PI l)) (* (cos (* PI l)) F)) in (l F) around 0 1.783 * [taylor]: Taking taylor expansion of (/ (sin (* PI l)) (* (cos (* PI l)) F)) in F 1.783 * [taylor]: Taking taylor expansion of (sin (* PI l)) in F 1.783 * [taylor]: Taking taylor expansion of (* PI l) in F 1.783 * [taylor]: Taking taylor expansion of PI in F 1.783 * [taylor]: Taking taylor expansion of l in F 1.783 * [taylor]: Taking taylor expansion of (* (cos (* PI l)) F) in F 1.783 * [taylor]: Taking taylor expansion of (cos (* PI l)) in F 1.783 * [taylor]: Taking taylor expansion of (* PI l) in F 1.783 * [taylor]: Taking taylor expansion of PI in F 1.783 * [taylor]: Taking taylor expansion of l in F 1.783 * [taylor]: Taking taylor expansion of F in F 1.785 * [taylor]: Taking taylor expansion of (/ (sin (* PI l)) (* (cos (* PI l)) F)) in l 1.786 * [taylor]: Taking taylor expansion of (sin (* PI l)) in l 1.786 * [taylor]: Taking taylor expansion of (* PI l) in l 1.786 * [taylor]: Taking taylor expansion of PI in l 1.786 * [taylor]: Taking taylor expansion of l in l 1.787 * [taylor]: Taking taylor expansion of (* (cos (* PI l)) F) in l 1.787 * [taylor]: Taking taylor expansion of (cos (* PI l)) in l 1.787 * [taylor]: Taking taylor expansion of (* PI l) in l 1.787 * [taylor]: Taking taylor expansion of PI in l 1.787 * [taylor]: Taking taylor expansion of l in l 1.788 * [taylor]: Taking taylor expansion of F in l 1.790 * [taylor]: Taking taylor expansion of (/ (sin (* PI l)) (* (cos (* PI l)) F)) in l 1.790 * [taylor]: Taking taylor expansion of (sin (* PI l)) in l 1.790 * [taylor]: Taking taylor expansion of (* PI l) in l 1.790 * [taylor]: Taking taylor expansion of PI in l 1.790 * [taylor]: Taking taylor expansion of l in l 1.791 * [taylor]: Taking taylor expansion of (* (cos (* PI l)) F) in l 1.791 * [taylor]: Taking taylor expansion of (cos (* PI l)) in l 1.791 * [taylor]: Taking taylor expansion of (* PI l) in l 1.791 * [taylor]: Taking taylor expansion of PI in l 1.791 * [taylor]: Taking taylor expansion of l in l 1.792 * [taylor]: Taking taylor expansion of F in l 1.793 * [taylor]: Taking taylor expansion of (/ PI F) in F 1.793 * [taylor]: Taking taylor expansion of PI in F 1.793 * [taylor]: Taking taylor expansion of F in F 1.795 * [taylor]: Taking taylor expansion of 0 in F 1.803 * [taylor]: Taking taylor expansion of (* 1/3 (/ (pow PI 3) F)) in F 1.803 * [taylor]: Taking taylor expansion of 1/3 in F 1.804 * [taylor]: Taking taylor expansion of (/ (pow PI 3) F) in F 1.804 * [taylor]: Taking taylor expansion of (pow PI 3) in F 1.804 * [taylor]: Taking taylor expansion of PI in F 1.804 * [taylor]: Taking taylor expansion of F in F 1.812 * [taylor]: Taking taylor expansion of 0 in F 1.831 * [taylor]: Taking taylor expansion of (* 2/15 (/ (pow PI 5) F)) in F 1.831 * [taylor]: Taking taylor expansion of 2/15 in F 1.831 * [taylor]: Taking taylor expansion of (/ (pow PI 5) F) in F 1.831 * [taylor]: Taking taylor expansion of (pow PI 5) in F 1.831 * [taylor]: Taking taylor expansion of PI in F 1.831 * [taylor]: Taking taylor expansion of F in F 1.836 * [approximate]: Taking taylor expansion of (/ (* (sin (/ PI l)) F) (cos (/ PI l))) in (l F) around 0 1.836 * [taylor]: Taking taylor expansion of (/ (* (sin (/ PI l)) F) (cos (/ PI l))) in F 1.836 * [taylor]: Taking taylor expansion of (* (sin (/ PI l)) F) in F 1.837 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in F 1.837 * [taylor]: Taking taylor expansion of (/ PI l) in F 1.837 * [taylor]: Taking taylor expansion of PI in F 1.837 * [taylor]: Taking taylor expansion of l in F 1.837 * [taylor]: Taking taylor expansion of F in F 1.837 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in F 1.837 * [taylor]: Taking taylor expansion of (/ PI l) in F 1.837 * [taylor]: Taking taylor expansion of PI in F 1.837 * [taylor]: Taking taylor expansion of l in F 1.839 * [taylor]: Taking taylor expansion of (/ (* (sin (/ PI l)) F) (cos (/ PI l))) in l 1.839 * [taylor]: Taking taylor expansion of (* (sin (/ PI l)) F) in l 1.839 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in l 1.839 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.839 * [taylor]: Taking taylor expansion of PI in l 1.839 * [taylor]: Taking taylor expansion of l in l 1.840 * [taylor]: Taking taylor expansion of F in l 1.840 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in l 1.840 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.840 * [taylor]: Taking taylor expansion of PI in l 1.840 * [taylor]: Taking taylor expansion of l in l 1.840 * [taylor]: Taking taylor expansion of (/ (* (sin (/ PI l)) F) (cos (/ PI l))) in l 1.840 * [taylor]: Taking taylor expansion of (* (sin (/ PI l)) F) in l 1.840 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in l 1.840 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.840 * [taylor]: Taking taylor expansion of PI in l 1.840 * [taylor]: Taking taylor expansion of l in l 1.841 * [taylor]: Taking taylor expansion of F in l 1.841 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in l 1.841 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.841 * [taylor]: Taking taylor expansion of PI in l 1.841 * [taylor]: Taking taylor expansion of l in l 1.841 * [taylor]: Taking taylor expansion of (/ (* (sin (/ PI l)) F) (cos (/ PI l))) in F 1.841 * [taylor]: Taking taylor expansion of (* (sin (/ PI l)) F) in F 1.841 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in F 1.841 * [taylor]: Taking taylor expansion of (/ PI l) in F 1.841 * [taylor]: Taking taylor expansion of PI in F 1.841 * [taylor]: Taking taylor expansion of l in F 1.842 * [taylor]: Taking taylor expansion of F in F 1.842 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in F 1.842 * [taylor]: Taking taylor expansion of (/ PI l) in F 1.842 * [taylor]: Taking taylor expansion of PI in F 1.842 * [taylor]: Taking taylor expansion of l in F 1.844 * [taylor]: Taking taylor expansion of 0 in F 1.849 * [taylor]: Taking taylor expansion of 0 in F 1.855 * [taylor]: Taking taylor expansion of 0 in F 1.855 * [approximate]: Taking taylor expansion of (* -1 (/ (* F (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l))))) in (l F) around 0 1.855 * [taylor]: Taking taylor expansion of (* -1 (/ (* F (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l))))) in F 1.855 * [taylor]: Taking taylor expansion of -1 in F 1.855 * [taylor]: Taking taylor expansion of (/ (* F (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l)))) in F 1.855 * [taylor]: Taking taylor expansion of (* F (sin (* -1 (/ PI l)))) in F 1.855 * [taylor]: Taking taylor expansion of F in F 1.855 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in F 1.855 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in F 1.855 * [taylor]: Taking taylor expansion of -1 in F 1.855 * [taylor]: Taking taylor expansion of (/ PI l) in F 1.855 * [taylor]: Taking taylor expansion of PI in F 1.855 * [taylor]: Taking taylor expansion of l in F 1.856 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in F 1.856 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in F 1.856 * [taylor]: Taking taylor expansion of -1 in F 1.856 * [taylor]: Taking taylor expansion of (/ PI l) in F 1.856 * [taylor]: Taking taylor expansion of PI in F 1.856 * [taylor]: Taking taylor expansion of l in F 1.859 * [taylor]: Taking taylor expansion of (* -1 (/ (* F (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l))))) in l 1.859 * [taylor]: Taking taylor expansion of -1 in l 1.859 * [taylor]: Taking taylor expansion of (/ (* F (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l)))) in l 1.859 * [taylor]: Taking taylor expansion of (* F (sin (* -1 (/ PI l)))) in l 1.859 * [taylor]: Taking taylor expansion of F in l 1.859 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in l 1.859 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.859 * [taylor]: Taking taylor expansion of -1 in l 1.859 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.859 * [taylor]: Taking taylor expansion of PI in l 1.859 * [taylor]: Taking taylor expansion of l in l 1.859 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in l 1.859 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.860 * [taylor]: Taking taylor expansion of -1 in l 1.860 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.860 * [taylor]: Taking taylor expansion of PI in l 1.860 * [taylor]: Taking taylor expansion of l in l 1.860 * [taylor]: Taking taylor expansion of (* -1 (/ (* F (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l))))) in l 1.860 * [taylor]: Taking taylor expansion of -1 in l 1.860 * [taylor]: Taking taylor expansion of (/ (* F (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l)))) in l 1.860 * [taylor]: Taking taylor expansion of (* F (sin (* -1 (/ PI l)))) in l 1.860 * [taylor]: Taking taylor expansion of F in l 1.860 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in l 1.860 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.860 * [taylor]: Taking taylor expansion of -1 in l 1.860 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.860 * [taylor]: Taking taylor expansion of PI in l 1.860 * [taylor]: Taking taylor expansion of l in l 1.861 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in l 1.861 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.861 * [taylor]: Taking taylor expansion of -1 in l 1.861 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.861 * [taylor]: Taking taylor expansion of PI in l 1.861 * [taylor]: Taking taylor expansion of l in l 1.862 * [taylor]: Taking taylor expansion of (* -1 (/ (* F (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l))))) in F 1.862 * [taylor]: Taking taylor expansion of -1 in F 1.862 * [taylor]: Taking taylor expansion of (/ (* F (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l)))) in F 1.862 * [taylor]: Taking taylor expansion of (* F (sin (* -1 (/ PI l)))) in F 1.862 * [taylor]: Taking taylor expansion of F in F 1.862 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in F 1.862 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in F 1.862 * [taylor]: Taking taylor expansion of -1 in F 1.862 * [taylor]: Taking taylor expansion of (/ PI l) in F 1.862 * [taylor]: Taking taylor expansion of PI in F 1.862 * [taylor]: Taking taylor expansion of l in F 1.862 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in F 1.862 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in F 1.862 * [taylor]: Taking taylor expansion of -1 in F 1.862 * [taylor]: Taking taylor expansion of (/ PI l) in F 1.863 * [taylor]: Taking taylor expansion of PI in F 1.863 * [taylor]: Taking taylor expansion of l in F 1.866 * [taylor]: Taking taylor expansion of 0 in F 1.873 * [taylor]: Taking taylor expansion of 0 in F 1.882 * [taylor]: Taking taylor expansion of 0 in F 1.882 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 2 2 1 1) 1.882 * [approximate]: Taking taylor expansion of (* PI l) in (l) around 0 1.882 * [taylor]: Taking taylor expansion of (* PI l) in l 1.882 * [taylor]: Taking taylor expansion of PI in l 1.882 * [taylor]: Taking taylor expansion of l in l 1.882 * [taylor]: Taking taylor expansion of (* PI l) in l 1.882 * [taylor]: Taking taylor expansion of PI in l 1.882 * [taylor]: Taking taylor expansion of l in l 1.888 * [approximate]: Taking taylor expansion of (/ PI l) in (l) around 0 1.888 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.888 * [taylor]: Taking taylor expansion of PI in l 1.888 * [taylor]: Taking taylor expansion of l in l 1.888 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.888 * [taylor]: Taking taylor expansion of PI in l 1.888 * [taylor]: Taking taylor expansion of l in l 1.892 * [approximate]: Taking taylor expansion of (* -1 (/ PI l)) in (l) around 0 1.892 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.892 * [taylor]: Taking taylor expansion of -1 in l 1.892 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.892 * [taylor]: Taking taylor expansion of PI in l 1.892 * [taylor]: Taking taylor expansion of l in l 1.892 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.892 * [taylor]: Taking taylor expansion of -1 in l 1.893 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.893 * [taylor]: Taking taylor expansion of PI in l 1.893 * [taylor]: Taking taylor expansion of l in l 1.901 * * * [progress]: simplifying candidates 1.902 * [simplify]: Simplifying using # : (log (cos (* PI l))) (exp (cos (* PI l))) (* (cbrt (cos (* PI l))) (cbrt (cos (* PI l)))) (cbrt (cos (* PI l))) (* (* (cos (* PI l)) (cos (* PI l))) (cos (* PI l))) (sqrt (cos (* PI l))) (sqrt (cos (* PI l))) (log (sin (* PI l))) (exp (sin (* PI l))) (* (cbrt (sin (* PI l))) (cbrt (sin (* PI l)))) (cbrt (sin (* PI l))) (* (* (sin (* PI l)) (sin (* PI l))) (sin (* PI l))) (sqrt (sin (* PI l))) (sqrt (sin (* PI l))) (- (log (sin (* PI l))) (+ (log (cos (* PI l))) (log F))) (- (log (sin (* PI l))) (log (* (cos (* PI l)) F))) (log (/ (sin (* PI l)) (* (cos (* PI l)) F))) (exp (/ (sin (* PI l)) (* (cos (* PI l)) F))) (/ (* (* (sin (* PI l)) (sin (* PI l))) (sin (* PI l))) (* (* (* (cos (* PI l)) (cos (* PI l))) (cos (* PI l))) (* (* F F) F))) (/ (* (* (sin (* PI l)) (sin (* PI l))) (sin (* PI l))) (* (* (* (cos (* PI l)) F) (* (cos (* PI l)) F)) (* (cos (* PI l)) F))) (* (cbrt (/ (sin (* PI l)) (* (cos (* PI l)) F))) (cbrt (/ (sin (* PI l)) (* (cos (* PI l)) F)))) (cbrt (/ (sin (* PI l)) (* (cos (* PI l)) F))) (* (* (/ (sin (* PI l)) (* (cos (* PI l)) F)) (/ (sin (* PI l)) (* (cos (* PI l)) F))) (/ (sin (* PI l)) (* (cos (* PI l)) F))) (sqrt (/ (sin (* PI l)) (* (cos (* PI l)) F))) (sqrt (/ (sin (* PI l)) (* (cos (* PI l)) F))) (- (sin (* PI l))) (- (* (cos (* PI l)) F)) (/ (* (cbrt (sin (* PI l))) (cbrt (sin (* PI l)))) (cos (* PI l))) (/ (cbrt (sin (* PI l))) F) (/ (sqrt (sin (* PI l))) (cos (* PI l))) (/ (sqrt (sin (* PI l))) F) (/ 1 (cos (* PI l))) (/ (sin (* PI l)) F) (/ 1 (* (cos (* PI l)) F)) (/ (* (cos (* PI l)) F) (sin (* PI l))) (/ (sin (* PI l)) (cos (* PI l))) (/ (* (cos (* PI l)) F) (cbrt (sin (* PI l)))) (/ (* (cos (* PI l)) F) (sqrt (sin (* PI l)))) (/ (* (cos (* PI l)) F) (sin (* PI l))) (* PI l) (+ (log PI) (log l)) (log (* PI l)) (exp (* PI l)) (* (* (* PI PI) PI) (* (* l l) l)) (* (cbrt (* PI l)) (cbrt (* PI l))) (cbrt (* PI l)) (* (* (* PI l) (* PI l)) (* PI l)) (sqrt (* PI l)) (sqrt (* PI l)) (* (sqrt PI) (sqrt l)) (* (sqrt PI) (sqrt l)) (* PI (* (cbrt l) (cbrt l))) (* PI (sqrt l)) (* PI 1) (* (cbrt PI) l) (* (sqrt PI) l) (* PI l) (- (+ (* 1/24 (* (pow PI 4) (pow l 4))) 1) (* 1/2 (* (pow PI 2) (pow l 2)))) (cos (* PI l)) (cos (* PI l)) (- (+ (* 1/120 (* (pow PI 5) (pow l 5))) (* PI l)) (* 1/6 (* (pow PI 3) (pow l 3)))) (sin (* PI l)) (sin (* PI l)) (+ (/ (* PI l) F) (+ (* 1/3 (/ (* (pow PI 3) (pow l 3)) F)) (* 2/15 (/ (* (pow PI 5) (pow l 5)) F)))) (/ (sin (* PI l)) (* (cos (* PI l)) F)) (/ (sin (* PI l)) (* (cos (* PI l)) F)) (* PI l) (* PI l) (* PI l) 1.902 * [simplify]: Sending expressions to egg_math: (log (cos (* PI h0))) (exp (cos (* PI h0))) (* (cbrt (cos (* PI h0))) (cbrt (cos (* PI h0)))) (cbrt (cos (* PI h0))) (* (* (cos (* PI h0)) (cos (* PI h0))) (cos (* PI h0))) (sqrt (cos (* PI h0))) (sqrt (cos (* PI h0))) (log (sin (* PI h0))) (exp (sin (* PI h0))) (* (cbrt (sin (* PI h0))) (cbrt (sin (* PI h0)))) (cbrt (sin (* PI h0))) (* (* (sin (* PI h0)) (sin (* PI h0))) (sin (* PI h0))) (sqrt (sin (* PI h0))) (sqrt (sin (* PI h0))) (- (log (sin (* PI h0))) (+ (log (cos (* PI h0))) (log h1))) (- (log (sin (* PI h0))) (log (* (cos (* PI h0)) h1))) (log (/ (sin (* PI h0)) (* (cos (* PI h0)) h1))) (exp (/ (sin (* PI h0)) (* (cos (* PI h0)) h1))) (/ (* (* (sin (* PI h0)) (sin (* PI h0))) (sin (* PI h0))) (* (* (* (cos (* PI h0)) (cos (* PI h0))) (cos (* PI h0))) (* (* h1 h1) h1))) (/ (* (* (sin (* PI h0)) (sin (* PI h0))) (sin (* PI h0))) (* (* (* (cos (* PI h0)) h1) (* (cos (* PI h0)) h1)) (* (cos (* PI h0)) h1))) (* (cbrt (/ (sin (* PI h0)) (* (cos (* PI h0)) h1))) (cbrt (/ (sin (* PI h0)) (* (cos (* PI h0)) h1)))) (cbrt (/ (sin (* PI h0)) (* (cos (* PI h0)) h1))) (* (* (/ (sin (* PI h0)) (* (cos (* PI h0)) h1)) (/ (sin (* PI h0)) (* (cos (* PI h0)) h1))) (/ (sin (* PI h0)) (* (cos (* PI h0)) h1))) (sqrt (/ (sin (* PI h0)) (* (cos (* PI h0)) h1))) (sqrt (/ (sin (* PI h0)) (* (cos (* PI h0)) h1))) (- (sin (* PI h0))) (- (* (cos (* PI h0)) h1)) (/ (* (cbrt (sin (* PI h0))) (cbrt (sin (* PI h0)))) (cos (* PI h0))) (/ (cbrt (sin (* PI h0))) h1) (/ (sqrt (sin (* PI h0))) (cos (* PI h0))) (/ (sqrt (sin (* PI h0))) h1) (/ 1 (cos (* PI h0))) (/ (sin (* PI h0)) h1) (/ 1 (* (cos (* PI h0)) h1)) (/ (* (cos (* PI h0)) h1) (sin (* PI h0))) (/ (sin (* PI h0)) (cos (* PI h0))) (/ (* (cos (* PI h0)) h1) (cbrt (sin (* PI h0)))) (/ (* (cos (* PI h0)) h1) (sqrt (sin (* PI h0)))) (/ (* (cos (* PI h0)) h1) (sin (* PI h0))) (* PI h0) (+ (log PI) (log h0)) (log (* PI h0)) (exp (* PI h0)) (* (* (* PI PI) PI) (* (* h0 h0) h0)) (* (cbrt (* PI h0)) (cbrt (* PI h0))) (cbrt (* PI h0)) (* (* (* PI h0) (* PI h0)) (* PI h0)) (sqrt (* PI h0)) (sqrt (* PI h0)) (* (sqrt PI) (sqrt h0)) (* (sqrt PI) (sqrt h0)) (* PI (* (cbrt h0) (cbrt h0))) (* PI (sqrt h0)) (* PI 1) (* (cbrt PI) h0) (* (sqrt PI) h0) (* PI h0) (- (+ (* 1/24 (* (pow PI 4) (pow h0 4))) 1) (* 1/2 (* (pow PI 2) (pow h0 2)))) (cos (* PI h0)) (cos (* PI h0)) (- (+ (* 1/120 (* (pow PI 5) (pow h0 5))) (* PI h0)) (* 1/6 (* (pow PI 3) (pow h0 3)))) (sin (* PI h0)) (sin (* PI h0)) (+ (/ (* PI h0) h1) (+ (* 1/3 (/ (* (pow PI 3) (pow h0 3)) h1)) (* 2/15 (/ (* (pow PI 5) (pow h0 5)) h1)))) (/ (sin (* PI h0)) (* (cos (* PI h0)) h1)) (/ (sin (* PI h0)) (* (cos (* PI h0)) h1)) (* PI h0) (* PI h0) (* PI h0) 1.906 * * [simplify]: iteration 0 : 267 enodes (cost 357 ) 1.911 * * [simplify]: iteration 1 : 1022 enodes (cost 304 ) 1.932 * * [simplify]: iteration 2 : 5001 enodes (cost 304 ) 1.934 * [simplify]: Simplified to: (log (cos (* PI l))) (exp (cos (* PI l))) (* (cbrt (cos (* PI l))) (cbrt (cos (* PI l)))) (cbrt (cos (* PI l))) (pow (cos (* PI l)) 3) (sqrt (cos (* PI l))) (sqrt (cos (* PI l))) (log (sin (* PI l))) (exp (sin (* PI l))) (* (cbrt (sin (* PI l))) (cbrt (sin (* PI l)))) (cbrt (sin (* PI l))) (pow (sin (* PI l)) 3) (sqrt (sin (* PI l))) (sqrt (sin (* PI l))) (log (/ (sin (* PI l)) (* (cos (* PI l)) F))) (log (/ (sin (* PI l)) (* (cos (* PI l)) F))) (log (/ (sin (* PI l)) (* (cos (* PI l)) F))) (exp (/ (sin (* PI l)) (* (cos (* PI l)) F))) (pow (/ (sin (* PI l)) (* (cos (* PI l)) F)) 3) (pow (/ (sin (* PI l)) (* (cos (* PI l)) F)) 3) (* (cbrt (/ (sin (* PI l)) (* (cos (* PI l)) F))) (cbrt (/ (sin (* PI l)) (* (cos (* PI l)) F)))) (cbrt (/ (sin (* PI l)) (* (cos (* PI l)) F))) (pow (/ (sin (* PI l)) (* (cos (* PI l)) F)) 3) (sqrt (/ (sin (* PI l)) (* (cos (* PI l)) F))) (sqrt (/ (sin (* PI l)) (* (cos (* PI l)) F))) (- (sin (* PI l))) (- (* (cos (* PI l)) F)) (/ (* (cbrt (sin (* PI l))) (cbrt (sin (* PI l)))) (cos (* PI l))) (/ (cbrt (sin (* PI l))) F) (/ (sqrt (sin (* PI l))) (cos (* PI l))) (/ (sqrt (sin (* PI l))) F) (/ 1 (cos (* PI l))) (/ (sin (* PI l)) F) (/ 1 (* (cos (* PI l)) F)) (/ (* (cos (* PI l)) F) (sin (* PI l))) (/ (sin (* PI l)) (cos (* PI l))) (/ (* (cos (* PI l)) F) (cbrt (sin (* PI l)))) (/ (* (cos (* PI l)) F) (sqrt (sin (* PI l)))) (/ (* (cos (* PI l)) F) (sin (* PI l))) (* PI l) (log (* PI l)) (log (* PI l)) (exp (* PI l)) (pow (* PI l) 3) (* (cbrt (* PI l)) (cbrt (* PI l))) (cbrt (* PI l)) (pow (* PI l) 3) (sqrt (* PI l)) (sqrt (* PI l)) (* (sqrt PI) (sqrt l)) (* (sqrt PI) (sqrt l)) (* PI (* (cbrt l) (cbrt l))) (* PI (sqrt l)) PI (* (cbrt PI) l) (* (sqrt PI) l) (* PI l) (- (+ (* 1/24 (* (pow PI 4) (pow l 4))) 1) (* 1/2 (* (pow PI 2) (pow l 2)))) (cos (* PI l)) (cos (* PI l)) (- (+ (* 1/120 (* (pow PI 5) (pow l 5))) (* PI l)) (* 1/6 (* (pow PI 3) (pow l 3)))) (sin (* PI l)) (sin (* PI l)) (+ (/ (* PI l) F) (+ (* 1/3 (/ (* (pow PI 3) (pow l 3)) F)) (* 2/15 (/ (* (pow PI 5) (pow l 5)) F)))) (/ (sin (* PI l)) (* (cos (* PI l)) F)) (/ (sin (* PI l)) (* (cos (* PI l)) F)) (* PI l) (* PI l) (* PI l) 1.934 * * * [progress]: adding candidates to table 2.113 * * [progress]: iteration 4 / 4 2.114 * * * [progress]: picking best candidate 2.148 * * * * [pick]: Picked # 2.148 * * * [progress]: localizing error 2.170 * * * [progress]: generating rewritten candidates 2.171 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2 2 1 2 1) 2.180 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 1 2 1 2 1) 2.187 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 2 1 1 1 2 1) 2.194 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 2 2 1 1) 2.201 * * * [progress]: generating series expansions 2.201 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2 2 1 2 1) 2.201 * [approximate]: Taking taylor expansion of (cos (* PI l)) in (l) around 0 2.201 * [taylor]: Taking taylor expansion of (cos (* PI l)) in l 2.201 * [taylor]: Taking taylor expansion of (* PI l) in l 2.201 * [taylor]: Taking taylor expansion of PI in l 2.201 * [taylor]: Taking taylor expansion of l in l 2.203 * [taylor]: Taking taylor expansion of (cos (* PI l)) in l 2.203 * [taylor]: Taking taylor expansion of (* PI l) in l 2.203 * [taylor]: Taking taylor expansion of PI in l 2.203 * [taylor]: Taking taylor expansion of l in l 2.216 * [approximate]: Taking taylor expansion of (cos (/ PI l)) in (l) around 0 2.216 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in l 2.216 * [taylor]: Taking taylor expansion of (/ PI l) in l 2.216 * [taylor]: Taking taylor expansion of PI in l 2.216 * [taylor]: Taking taylor expansion of l in l 2.216 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in l 2.216 * [taylor]: Taking taylor expansion of (/ PI l) in l 2.216 * [taylor]: Taking taylor expansion of PI in l 2.216 * [taylor]: Taking taylor expansion of l in l 2.217 * [approximate]: Taking taylor expansion of (cos (* -1 (/ PI l))) in (l) around 0 2.217 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in l 2.217 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 2.217 * [taylor]: Taking taylor expansion of -1 in l 2.217 * [taylor]: Taking taylor expansion of (/ PI l) in l 2.217 * [taylor]: Taking taylor expansion of PI in l 2.217 * [taylor]: Taking taylor expansion of l in l 2.217 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in l 2.217 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 2.218 * [taylor]: Taking taylor expansion of -1 in l 2.218 * [taylor]: Taking taylor expansion of (/ PI l) in l 2.218 * [taylor]: Taking taylor expansion of PI in l 2.218 * [taylor]: Taking taylor expansion of l in l 2.218 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 1 2 1 2 1) 2.218 * [approximate]: Taking taylor expansion of (cos (* PI l)) in (l) around 0 2.218 * [taylor]: Taking taylor expansion of (cos (* PI l)) in l 2.218 * [taylor]: Taking taylor expansion of (* PI l) in l 2.218 * [taylor]: Taking taylor expansion of PI in l 2.219 * [taylor]: Taking taylor expansion of l in l 2.220 * [taylor]: Taking taylor expansion of (cos (* PI l)) in l 2.220 * [taylor]: Taking taylor expansion of (* PI l) in l 2.220 * [taylor]: Taking taylor expansion of PI in l 2.220 * [taylor]: Taking taylor expansion of l in l 2.232 * [approximate]: Taking taylor expansion of (cos (/ PI l)) in (l) around 0 2.232 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in l 2.232 * [taylor]: Taking taylor expansion of (/ PI l) in l 2.232 * [taylor]: Taking taylor expansion of PI in l 2.232 * [taylor]: Taking taylor expansion of l in l 2.232 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in l 2.232 * [taylor]: Taking taylor expansion of (/ PI l) in l 2.232 * [taylor]: Taking taylor expansion of PI in l 2.232 * [taylor]: Taking taylor expansion of l in l 2.233 * [approximate]: Taking taylor expansion of (cos (* -1 (/ PI l))) in (l) around 0 2.233 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in l 2.233 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 2.233 * [taylor]: Taking taylor expansion of -1 in l 2.233 * [taylor]: Taking taylor expansion of (/ PI l) in l 2.233 * [taylor]: Taking taylor expansion of PI in l 2.233 * [taylor]: Taking taylor expansion of l in l 2.233 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in l 2.233 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 2.233 * [taylor]: Taking taylor expansion of -1 in l 2.233 * [taylor]: Taking taylor expansion of (/ PI l) in l 2.233 * [taylor]: Taking taylor expansion of PI in l 2.233 * [taylor]: Taking taylor expansion of l in l 2.234 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 2 1 1 1 2 1) 2.234 * [approximate]: Taking taylor expansion of (cos (* PI l)) in (l) around 0 2.234 * [taylor]: Taking taylor expansion of (cos (* PI l)) in l 2.234 * [taylor]: Taking taylor expansion of (* PI l) in l 2.234 * [taylor]: Taking taylor expansion of PI in l 2.234 * [taylor]: Taking taylor expansion of l in l 2.236 * [taylor]: Taking taylor expansion of (cos (* PI l)) in l 2.236 * [taylor]: Taking taylor expansion of (* PI l) in l 2.236 * [taylor]: Taking taylor expansion of PI in l 2.236 * [taylor]: Taking taylor expansion of l in l 2.247 * [approximate]: Taking taylor expansion of (cos (/ PI l)) in (l) around 0 2.248 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in l 2.248 * [taylor]: Taking taylor expansion of (/ PI l) in l 2.248 * [taylor]: Taking taylor expansion of PI in l 2.248 * [taylor]: Taking taylor expansion of l in l 2.248 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in l 2.248 * [taylor]: Taking taylor expansion of (/ PI l) in l 2.248 * [taylor]: Taking taylor expansion of PI in l 2.248 * [taylor]: Taking taylor expansion of l in l 2.249 * [approximate]: Taking taylor expansion of (cos (* -1 (/ PI l))) in (l) around 0 2.249 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in l 2.249 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 2.249 * [taylor]: Taking taylor expansion of -1 in l 2.249 * [taylor]: Taking taylor expansion of (/ PI l) in l 2.249 * [taylor]: Taking taylor expansion of PI in l 2.249 * [taylor]: Taking taylor expansion of l in l 2.249 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in l 2.249 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 2.249 * [taylor]: Taking taylor expansion of -1 in l 2.249 * [taylor]: Taking taylor expansion of (/ PI l) in l 2.249 * [taylor]: Taking taylor expansion of PI in l 2.249 * [taylor]: Taking taylor expansion of l in l 2.253 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 2 2 1 1) 2.253 * [approximate]: Taking taylor expansion of (sin (* PI l)) in (l) around 0 2.253 * [taylor]: Taking taylor expansion of (sin (* PI l)) in l 2.253 * [taylor]: Taking taylor expansion of (* PI l) in l 2.253 * [taylor]: Taking taylor expansion of PI in l 2.253 * [taylor]: Taking taylor expansion of l in l 2.254 * [taylor]: Taking taylor expansion of (sin (* PI l)) in l 2.254 * [taylor]: Taking taylor expansion of (* PI l) in l 2.254 * [taylor]: Taking taylor expansion of PI in l 2.254 * [taylor]: Taking taylor expansion of l in l 2.272 * [approximate]: Taking taylor expansion of (sin (/ PI l)) in (l) around 0 2.272 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in l 2.272 * [taylor]: Taking taylor expansion of (/ PI l) in l 2.272 * [taylor]: Taking taylor expansion of PI in l 2.272 * [taylor]: Taking taylor expansion of l in l 2.272 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in l 2.272 * [taylor]: Taking taylor expansion of (/ PI l) in l 2.272 * [taylor]: Taking taylor expansion of PI in l 2.272 * [taylor]: Taking taylor expansion of l in l 2.273 * [approximate]: Taking taylor expansion of (sin (* -1 (/ PI l))) in (l) around 0 2.273 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in l 2.273 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 2.273 * [taylor]: Taking taylor expansion of -1 in l 2.273 * [taylor]: Taking taylor expansion of (/ PI l) in l 2.273 * [taylor]: Taking taylor expansion of PI in l 2.273 * [taylor]: Taking taylor expansion of l in l 2.273 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in l 2.273 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 2.273 * [taylor]: Taking taylor expansion of -1 in l 2.273 * [taylor]: Taking taylor expansion of (/ PI l) in l 2.273 * [taylor]: Taking taylor expansion of PI in l 2.273 * [taylor]: Taking taylor expansion of l in l 2.274 * * * [progress]: simplifying candidates 2.275 * [simplify]: Simplifying using # : (log (cos (* PI l))) (exp (cos (* PI l))) (* (cbrt (cos (* PI l))) (cbrt (cos (* PI l)))) (cbrt (cos (* PI l))) (* (* (cos (* PI l)) (cos (* PI l))) (cos (* PI l))) (sqrt (cos (* PI l))) (sqrt (cos (* PI l))) (log (cos (* PI l))) (exp (cos (* PI l))) (* (cbrt (cos (* PI l))) (cbrt (cos (* PI l)))) (cbrt (cos (* PI l))) (* (* (cos (* PI l)) (cos (* PI l))) (cos (* PI l))) (sqrt (cos (* PI l))) (sqrt (cos (* PI l))) (log (cos (* PI l))) (exp (cos (* PI l))) (* (cbrt (cos (* PI l))) (cbrt (cos (* PI l)))) (cbrt (cos (* PI l))) (* (* (cos (* PI l)) (cos (* PI l))) (cos (* PI l))) (sqrt (cos (* PI l))) (sqrt (cos (* PI l))) (log (sin (* PI l))) (exp (sin (* PI l))) (* (cbrt (sin (* PI l))) (cbrt (sin (* PI l)))) (cbrt (sin (* PI l))) (* (* (sin (* PI l)) (sin (* PI l))) (sin (* PI l))) (sqrt (sin (* PI l))) (sqrt (sin (* PI l))) (- (+ (* 1/24 (* (pow PI 4) (pow l 4))) 1) (* 1/2 (* (pow PI 2) (pow l 2)))) (cos (* PI l)) (cos (* PI l)) (- (+ (* 1/24 (* (pow PI 4) (pow l 4))) 1) (* 1/2 (* (pow PI 2) (pow l 2)))) (cos (* PI l)) (cos (* PI l)) (- (+ (* 1/24 (* (pow PI 4) (pow l 4))) 1) (* 1/2 (* (pow PI 2) (pow l 2)))) (cos (* PI l)) (cos (* PI l)) (- (+ (* 1/120 (* (pow PI 5) (pow l 5))) (* PI l)) (* 1/6 (* (pow PI 3) (pow l 3)))) (sin (* PI l)) (sin (* PI l)) 2.275 * [simplify]: Sending expressions to egg_math: (log (cos (* PI h0))) (exp (cos (* PI h0))) (* (cbrt (cos (* PI h0))) (cbrt (cos (* PI h0)))) (cbrt (cos (* PI h0))) (* (* (cos (* PI h0)) (cos (* PI h0))) (cos (* PI h0))) (sqrt (cos (* PI h0))) (sqrt (cos (* PI h0))) (log (cos (* PI h0))) (exp (cos (* PI h0))) (* (cbrt (cos (* PI h0))) (cbrt (cos (* PI h0)))) (cbrt (cos (* PI h0))) (* (* (cos (* PI h0)) (cos (* PI h0))) (cos (* PI h0))) (sqrt (cos (* PI h0))) (sqrt (cos (* PI h0))) (log (cos (* PI h0))) (exp (cos (* PI h0))) (* (cbrt (cos (* PI h0))) (cbrt (cos (* PI h0)))) (cbrt (cos (* PI h0))) (* (* (cos (* PI h0)) (cos (* PI h0))) (cos (* PI h0))) (sqrt (cos (* PI h0))) (sqrt (cos (* PI h0))) (log (sin (* PI h0))) (exp (sin (* PI h0))) (* (cbrt (sin (* PI h0))) (cbrt (sin (* PI h0)))) (cbrt (sin (* PI h0))) (* (* (sin (* PI h0)) (sin (* PI h0))) (sin (* PI h0))) (sqrt (sin (* PI h0))) (sqrt (sin (* PI h0))) (- (+ (* 1/24 (* (pow PI 4) (pow h0 4))) 1) (* 1/2 (* (pow PI 2) (pow h0 2)))) (cos (* PI h0)) (cos (* PI h0)) (- (+ (* 1/24 (* (pow PI 4) (pow h0 4))) 1) (* 1/2 (* (pow PI 2) (pow h0 2)))) (cos (* PI h0)) (cos (* PI h0)) (- (+ (* 1/24 (* (pow PI 4) (pow h0 4))) 1) (* 1/2 (* (pow PI 2) (pow h0 2)))) (cos (* PI h0)) (cos (* PI h0)) (- (+ (* 1/120 (* (pow PI 5) (pow h0 5))) (* PI h0)) (* 1/6 (* (pow PI 3) (pow h0 3)))) (sin (* PI h0)) (sin (* PI h0)) 2.278 * * [simplify]: iteration 0 : 105 enodes (cost 177 ) 2.281 * * [simplify]: iteration 1 : 362 enodes (cost 157 ) 2.288 * * [simplify]: iteration 2 : 1564 enodes (cost 157 ) 2.330 * * [simplify]: iteration 3 : 5001 enodes (cost 157 ) 2.331 * [simplify]: Simplified to: (log (cos (* PI l))) (exp (cos (* PI l))) (* (cbrt (cos (* PI l))) (cbrt (cos (* PI l)))) (cbrt (cos (* PI l))) (pow (cos (* PI l)) 3) (sqrt (cos (* PI l))) (sqrt (cos (* PI l))) (log (cos (* PI l))) (exp (cos (* PI l))) (* (cbrt (cos (* PI l))) (cbrt (cos (* PI l)))) (cbrt (cos (* PI l))) (pow (cos (* PI l)) 3) (sqrt (cos (* PI l))) (sqrt (cos (* PI l))) (log (cos (* PI l))) (exp (cos (* PI l))) (* (cbrt (cos (* PI l))) (cbrt (cos (* PI l)))) (cbrt (cos (* PI l))) (pow (cos (* PI l)) 3) (sqrt (cos (* PI l))) (sqrt (cos (* PI l))) (log (sin (* PI l))) (exp (sin (* PI l))) (* (cbrt (sin (* PI l))) (cbrt (sin (* PI l)))) (cbrt (sin (* PI l))) (pow (sin (* PI l)) 3) (sqrt (sin (* PI l))) (sqrt (sin (* PI l))) (- (+ (* 1/24 (* (pow PI 4) (pow l 4))) 1) (* 1/2 (* (pow PI 2) (pow l 2)))) (cos (* PI l)) (cos (* PI l)) (- (+ (* 1/24 (* (pow PI 4) (pow l 4))) 1) (* 1/2 (* (pow PI 2) (pow l 2)))) (cos (* PI l)) (cos (* PI l)) (- (+ (* 1/24 (* (pow PI 4) (pow l 4))) 1) (* 1/2 (* (pow PI 2) (pow l 2)))) (cos (* PI l)) (cos (* PI l)) (- (+ (* 1/120 (* (pow PI 5) (pow l 5))) (* PI l)) (* 1/6 (* (pow PI 3) (pow l 3)))) (sin (* PI l)) (sin (* PI l)) 2.331 * * * [progress]: adding candidates to table 2.483 * [progress]: [Phase 3 of 3] Extracting. 2.483 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # #) 2.491 * * * [regime-changes]: Trying 5 branch expressions: ((* F F) (/ 1.0 (* F F)) (* PI l) l F) 2.492 * * * * [regimes]: Trying to branch on (* F F) from (# # # # # # # # # # # # # # #) 2.555 * * * * [regimes]: Trying to branch on (* F F) from (# # # # #) 2.575 * * * * [regimes]: Trying to branch on (/ 1.0 (* F F)) from (# # # # # # # # # # # # # # #) 2.629 * * * * [regimes]: Trying to branch on (/ 1.0 (* F F)) from (# # # #) 2.645 * * * * [regimes]: Trying to branch on (* PI l) from (# # # # # # # # # # # # # # #) 2.713 * * * * [regimes]: Trying to branch on (* PI l) from (# # # # # # # # # #) 2.749 * * * * [regimes]: Trying to branch on l from (# # # # # # # # # # # # # # #) 2.818 * * * * [regimes]: Trying to branch on F from (# # # # # # # # # # # # # # #) 2.894 * * * [regime]: Found split indices: #