0.872 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.425 * * * [progress]: [2/2] Setting up program. 0.428 * [progress]: [Phase 2 of 3] Improving. 0.431 * [simplify]: Simplifying using # : (- (* PI l) (* (/ 1.0 (* F F)) (tan (* PI l)))) 0.434 * * [simplify]: iteration 0 : 19 enodes (cost 7 ) 0.436 * * [simplify]: iteration 1 : 41 enodes (cost 7 ) 0.437 * * [simplify]: iteration 2 : 82 enodes (cost 7 ) 0.439 * * [simplify]: iteration 3 : 122 enodes (cost 7 ) 0.441 * * [simplify]: iteration 4 : 147 enodes (cost 7 ) 0.444 * * [simplify]: iteration 5 : 157 enodes (cost 7 ) 0.446 * * [simplify]: iteration 6 : 159 enodes (cost 7 ) 0.448 * * [simplify]: iteration 7 : 159 enodes (cost 7 ) 0.449 * [simplify]: Simplified to: (- (* PI l) (* (/ 1.0 (* F F)) (tan (* PI l)))) 0.450 * * [progress]: iteration 1 / 4 0.450 * * * [progress]: picking best candidate 0.452 * * * * [pick]: Picked # 0.452 * * * [progress]: localizing error 0.465 * * * [progress]: generating rewritten candidates 0.466 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 0.469 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 0.484 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.487 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 0.502 * * * [progress]: generating series expansions 0.502 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 0.506 * [approximate]: Taking taylor expansion of (tan (* PI l)) in (l) around 0 0.507 * [taylor]: Taking taylor expansion of (tan (* PI l)) in l 0.508 * [taylor]: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) 0.508 * [taylor]: Taking taylor expansion of (sin (* PI l)) in l 0.508 * [taylor]: Taking taylor expansion of (* PI l) in l 0.508 * [taylor]: Taking taylor expansion of PI in l 0.508 * [taylor]: Taking taylor expansion of l in l 0.511 * [taylor]: Taking taylor expansion of (cos (* PI l)) in l 0.511 * [taylor]: Taking taylor expansion of (* PI l) in l 0.511 * [taylor]: Taking taylor expansion of PI in l 0.511 * [taylor]: Taking taylor expansion of l in l 0.515 * [taylor]: Taking taylor expansion of (tan (* PI l)) in l 0.515 * [taylor]: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) 0.515 * [taylor]: Taking taylor expansion of (sin (* PI l)) in l 0.515 * [taylor]: Taking taylor expansion of (* PI l) in l 0.515 * [taylor]: Taking taylor expansion of PI in l 0.515 * [taylor]: Taking taylor expansion of l in l 0.516 * [taylor]: Taking taylor expansion of (cos (* PI l)) in l 0.516 * [taylor]: Taking taylor expansion of (* PI l) in l 0.516 * [taylor]: Taking taylor expansion of PI in l 0.516 * [taylor]: Taking taylor expansion of l in l 0.564 * [approximate]: Taking taylor expansion of (tan (/ PI l)) in (l) around 0 0.564 * [taylor]: Taking taylor expansion of (tan (/ PI l)) in l 0.564 * [taylor]: Rewrote expression to (/ (sin (/ PI l)) (cos (/ PI l))) 0.564 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in l 0.564 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.564 * [taylor]: Taking taylor expansion of PI in l 0.564 * [taylor]: Taking taylor expansion of l in l 0.565 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in l 0.565 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.565 * [taylor]: Taking taylor expansion of PI in l 0.565 * [taylor]: Taking taylor expansion of l in l 0.565 * [taylor]: Taking taylor expansion of (tan (/ PI l)) in l 0.565 * [taylor]: Rewrote expression to (/ (sin (/ PI l)) (cos (/ PI l))) 0.565 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in l 0.565 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.565 * [taylor]: Taking taylor expansion of PI in l 0.565 * [taylor]: Taking taylor expansion of l in l 0.566 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in l 0.566 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.566 * [taylor]: Taking taylor expansion of PI in l 0.566 * [taylor]: Taking taylor expansion of l in l 0.568 * [approximate]: Taking taylor expansion of (tan (* -1 (/ PI l))) in (l) around 0 0.568 * [taylor]: Taking taylor expansion of (tan (* -1 (/ PI l))) in l 0.569 * [taylor]: Rewrote expression to (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 0.569 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in l 0.569 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 0.569 * [taylor]: Taking taylor expansion of -1 in l 0.569 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.569 * [taylor]: Taking taylor expansion of PI in l 0.569 * [taylor]: Taking taylor expansion of l in l 0.569 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in l 0.570 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 0.570 * [taylor]: Taking taylor expansion of -1 in l 0.570 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.570 * [taylor]: Taking taylor expansion of PI in l 0.570 * [taylor]: Taking taylor expansion of l in l 0.570 * [taylor]: Taking taylor expansion of (tan (* -1 (/ PI l))) in l 0.570 * [taylor]: Rewrote expression to (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 0.570 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in l 0.570 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 0.570 * [taylor]: Taking taylor expansion of -1 in l 0.570 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.570 * [taylor]: Taking taylor expansion of PI in l 0.570 * [taylor]: Taking taylor expansion of l in l 0.571 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in l 0.571 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 0.571 * [taylor]: Taking taylor expansion of -1 in l 0.571 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.571 * [taylor]: Taking taylor expansion of PI in l 0.571 * [taylor]: Taking taylor expansion of l in l 0.574 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 0.574 * [approximate]: Taking taylor expansion of (* 1.0 (/ (tan (* PI l)) (pow F 2))) in (F l) around 0 0.574 * [taylor]: Taking taylor expansion of (* 1.0 (/ (tan (* PI l)) (pow F 2))) in l 0.575 * [taylor]: Taking taylor expansion of 1.0 in l 0.575 * [taylor]: Taking taylor expansion of (/ (tan (* PI l)) (pow F 2)) in l 0.575 * [taylor]: Taking taylor expansion of (tan (* PI l)) in l 0.575 * [taylor]: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) 0.575 * [taylor]: Taking taylor expansion of (sin (* PI l)) in l 0.575 * [taylor]: Taking taylor expansion of (* PI l) in l 0.575 * [taylor]: Taking taylor expansion of PI in l 0.575 * [taylor]: Taking taylor expansion of l in l 0.576 * [taylor]: Taking taylor expansion of (cos (* PI l)) in l 0.576 * [taylor]: Taking taylor expansion of (* PI l) in l 0.576 * [taylor]: Taking taylor expansion of PI in l 0.576 * [taylor]: Taking taylor expansion of l in l 0.579 * [taylor]: Taking taylor expansion of (pow F 2) in l 0.579 * [taylor]: Taking taylor expansion of F in l 0.579 * [taylor]: Taking taylor expansion of (* 1.0 (/ (tan (* PI l)) (pow F 2))) in F 0.579 * [taylor]: Taking taylor expansion of 1.0 in F 0.579 * [taylor]: Taking taylor expansion of (/ (tan (* PI l)) (pow F 2)) in F 0.579 * [taylor]: Taking taylor expansion of (tan (* PI l)) in F 0.580 * [taylor]: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) 0.580 * [taylor]: Taking taylor expansion of (sin (* PI l)) in F 0.580 * [taylor]: Taking taylor expansion of (* PI l) in F 0.580 * [taylor]: Taking taylor expansion of PI in F 0.580 * [taylor]: Taking taylor expansion of l in F 0.580 * [taylor]: Taking taylor expansion of (cos (* PI l)) in F 0.580 * [taylor]: Taking taylor expansion of (* PI l) in F 0.580 * [taylor]: Taking taylor expansion of PI in F 0.580 * [taylor]: Taking taylor expansion of l in F 0.581 * [taylor]: Taking taylor expansion of (pow F 2) in F 0.581 * [taylor]: Taking taylor expansion of F in F 0.581 * [taylor]: Taking taylor expansion of (* 1.0 (/ (tan (* PI l)) (pow F 2))) in F 0.581 * [taylor]: Taking taylor expansion of 1.0 in F 0.581 * [taylor]: Taking taylor expansion of (/ (tan (* PI l)) (pow F 2)) in F 0.582 * [taylor]: Taking taylor expansion of (tan (* PI l)) in F 0.582 * [taylor]: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) 0.582 * [taylor]: Taking taylor expansion of (sin (* PI l)) in F 0.582 * [taylor]: Taking taylor expansion of (* PI l) in F 0.582 * [taylor]: Taking taylor expansion of PI in F 0.582 * [taylor]: Taking taylor expansion of l in F 0.582 * [taylor]: Taking taylor expansion of (cos (* PI l)) in F 0.582 * [taylor]: Taking taylor expansion of (* PI l) in F 0.582 * [taylor]: Taking taylor expansion of PI in F 0.582 * [taylor]: Taking taylor expansion of l in F 0.582 * [taylor]: Taking taylor expansion of (pow F 2) in F 0.582 * [taylor]: Taking taylor expansion of F in F 0.583 * [taylor]: Taking taylor expansion of (* 1.0 (/ (sin (* PI l)) (cos (* PI l)))) in l 0.583 * [taylor]: Taking taylor expansion of 1.0 in l 0.583 * [taylor]: Taking taylor expansion of (/ (sin (* PI l)) (cos (* PI l))) in l 0.583 * [taylor]: Taking taylor expansion of (sin (* 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 0.584 * [taylor]: Taking taylor expansion of (cos (* PI l)) in l 0.585 * [taylor]: Taking taylor expansion of (* PI l) in l 0.585 * [taylor]: Taking taylor expansion of PI in l 0.585 * [taylor]: Taking taylor expansion of l in l 0.599 * [taylor]: Taking taylor expansion of 0 in l 0.609 * [taylor]: Taking taylor expansion of 0 in l 0.633 * [taylor]: Taking taylor expansion of 0 in l 0.650 * [taylor]: Taking taylor expansion of 0 in l 0.652 * [approximate]: Taking taylor expansion of (* 1.0 (* (tan (/ PI l)) (pow F 2))) in (F l) around 0 0.652 * [taylor]: Taking taylor expansion of (* 1.0 (* (tan (/ PI l)) (pow F 2))) in l 0.652 * [taylor]: Taking taylor expansion of 1.0 in l 0.652 * [taylor]: Taking taylor expansion of (* (tan (/ PI l)) (pow F 2)) in l 0.652 * [taylor]: Taking taylor expansion of (tan (/ PI l)) in l 0.652 * [taylor]: Rewrote expression to (/ (sin (/ PI l)) (cos (/ PI l))) 0.652 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in l 0.652 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.652 * [taylor]: Taking taylor expansion of PI in l 0.652 * [taylor]: Taking taylor expansion of l in l 0.653 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in l 0.653 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.653 * [taylor]: Taking taylor expansion of PI in l 0.653 * [taylor]: Taking taylor expansion of l in l 0.653 * [taylor]: Taking taylor expansion of (pow F 2) in l 0.653 * [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 0.654 * [taylor]: Taking taylor expansion of (/ PI l) in F 0.654 * [taylor]: Taking taylor expansion of PI in F 0.654 * [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 0.654 * [taylor]: Taking taylor expansion of (* 1.0 (* (tan (/ PI l)) (pow F 2))) in F 0.654 * [taylor]: Taking taylor expansion of 1.0 in F 0.654 * [taylor]: Taking taylor expansion of (* (tan (/ PI l)) (pow F 2)) in F 0.654 * [taylor]: Taking taylor expansion of (tan (/ PI l)) in F 0.654 * [taylor]: Rewrote expression to (/ (sin (/ PI l)) (cos (/ PI l))) 0.654 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in F 0.654 * [taylor]: Taking taylor expansion of (/ PI l) in F 0.654 * [taylor]: Taking taylor expansion of PI in F 0.654 * [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 0.655 * [taylor]: Taking taylor expansion of (pow F 2) in F 0.655 * [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 0.656 * [taylor]: Taking taylor expansion of (cos (/ 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 0.661 * [taylor]: Taking taylor expansion of 0 in l 0.668 * [taylor]: Taking taylor expansion of 0 in l 0.679 * [taylor]: Taking taylor expansion of 0 in l 0.679 * [approximate]: Taking taylor expansion of (* 1.0 (* (tan (* -1 (/ PI l))) (pow F 2))) in (F l) around 0 0.679 * [taylor]: Taking taylor expansion of (* 1.0 (* (tan (* -1 (/ PI l))) (pow F 2))) in l 0.679 * [taylor]: Taking taylor expansion of 1.0 in l 0.679 * [taylor]: Taking taylor expansion of (* (tan (* -1 (/ PI l))) (pow F 2)) in l 0.679 * [taylor]: Taking taylor expansion of (tan (* -1 (/ PI l))) in l 0.679 * [taylor]: Rewrote expression to (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 0.679 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in l 0.679 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 0.679 * [taylor]: Taking taylor expansion of -1 in l 0.679 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.680 * [taylor]: Taking taylor expansion of PI in l 0.680 * [taylor]: Taking taylor expansion of l in l 0.680 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in l 0.680 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 0.680 * [taylor]: Taking taylor expansion of -1 in l 0.680 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.680 * [taylor]: Taking taylor expansion of PI in l 0.680 * [taylor]: Taking taylor expansion of l in l 0.681 * [taylor]: Taking taylor expansion of (pow F 2) in l 0.681 * [taylor]: Taking taylor expansion of F in l 0.681 * [taylor]: Taking taylor expansion of (* 1.0 (* (tan (* -1 (/ PI l))) (pow F 2))) in F 0.681 * [taylor]: Taking taylor expansion of 1.0 in F 0.681 * [taylor]: Taking taylor expansion of (* (tan (* -1 (/ PI l))) (pow F 2)) in F 0.681 * [taylor]: Taking taylor expansion of (tan (* -1 (/ PI l))) in F 0.681 * [taylor]: Rewrote expression to (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 0.681 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in F 0.681 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in F 0.681 * [taylor]: Taking taylor expansion of -1 in F 0.681 * [taylor]: Taking taylor expansion of (/ PI l) in F 0.681 * [taylor]: Taking taylor expansion of PI in F 0.681 * [taylor]: Taking taylor expansion of l in F 0.681 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in F 0.681 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in F 0.681 * [taylor]: Taking taylor expansion of -1 in F 0.681 * [taylor]: Taking taylor expansion of (/ PI l) in F 0.681 * [taylor]: Taking taylor expansion of PI in F 0.681 * [taylor]: Taking taylor expansion of l in F 0.682 * [taylor]: Taking taylor expansion of (pow F 2) in F 0.682 * [taylor]: Taking taylor expansion of F in F 0.682 * [taylor]: Taking taylor expansion of (* 1.0 (* (tan (* -1 (/ PI l))) (pow F 2))) in F 0.682 * [taylor]: Taking taylor expansion of 1.0 in F 0.682 * [taylor]: Taking taylor expansion of (* (tan (* -1 (/ PI l))) (pow F 2)) in F 0.682 * [taylor]: Taking taylor expansion of (tan (* -1 (/ PI l))) in F 0.682 * [taylor]: Rewrote expression to (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 0.682 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in F 0.682 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in F 0.682 * [taylor]: Taking taylor expansion of -1 in F 0.682 * [taylor]: Taking taylor expansion of (/ PI l) in F 0.682 * [taylor]: Taking taylor expansion of PI in F 0.683 * [taylor]: Taking taylor expansion of l in F 0.683 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in F 0.683 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in F 0.683 * [taylor]: Taking taylor expansion of -1 in F 0.683 * [taylor]: Taking taylor expansion of (/ PI l) in F 0.683 * [taylor]: Taking taylor expansion of PI in F 0.683 * [taylor]: Taking taylor expansion of l in F 0.683 * [taylor]: Taking taylor expansion of (pow F 2) in F 0.683 * [taylor]: Taking taylor expansion of F in F 0.684 * [taylor]: Taking taylor expansion of (* 1.0 (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l))))) in l 0.684 * [taylor]: Taking taylor expansion of 1.0 in l 0.684 * [taylor]: Taking taylor expansion of (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) in l 0.684 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in l 0.684 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 0.684 * [taylor]: Taking taylor expansion of -1 in l 0.684 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.684 * [taylor]: Taking taylor expansion of PI in l 0.684 * [taylor]: Taking taylor expansion of l in l 0.685 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in l 0.685 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 0.685 * [taylor]: Taking taylor expansion of -1 in l 0.685 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.685 * [taylor]: Taking taylor expansion of PI in l 0.685 * [taylor]: Taking taylor expansion of l in l 0.691 * [taylor]: Taking taylor expansion of 0 in l 0.699 * [taylor]: Taking taylor expansion of 0 in l 0.709 * [taylor]: Taking taylor expansion of 0 in l 0.709 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 0.710 * [approximate]: Taking taylor expansion of (/ 1.0 (pow F 2)) in (F) around 0 0.710 * [taylor]: Taking taylor expansion of (/ 1.0 (pow F 2)) in F 0.710 * [taylor]: Taking taylor expansion of 1.0 in F 0.710 * [taylor]: Taking taylor expansion of (pow F 2) in F 0.710 * [taylor]: Taking taylor expansion of F in F 0.710 * [taylor]: Taking taylor expansion of (/ 1.0 (pow F 2)) in F 0.710 * [taylor]: Taking taylor expansion of 1.0 in F 0.710 * [taylor]: Taking taylor expansion of (pow F 2) in F 0.710 * [taylor]: Taking taylor expansion of F in F 0.718 * [approximate]: Taking taylor expansion of (* 1.0 (pow F 2)) in (F) around 0 0.718 * [taylor]: Taking taylor expansion of (* 1.0 (pow F 2)) in F 0.718 * [taylor]: Taking taylor expansion of 1.0 in F 0.718 * [taylor]: Taking taylor expansion of (pow F 2) in F 0.718 * [taylor]: Taking taylor expansion of F in F 0.718 * [taylor]: Taking taylor expansion of (* 1.0 (pow F 2)) in F 0.718 * [taylor]: Taking taylor expansion of 1.0 in F 0.718 * [taylor]: Taking taylor expansion of (pow F 2) in F 0.718 * [taylor]: Taking taylor expansion of F in F 0.726 * [approximate]: Taking taylor expansion of (* 1.0 (pow F 2)) in (F) around 0 0.726 * [taylor]: Taking taylor expansion of (* 1.0 (pow F 2)) in F 0.726 * [taylor]: Taking taylor expansion of 1.0 in F 0.726 * [taylor]: Taking taylor expansion of (pow F 2) in F 0.726 * [taylor]: Taking taylor expansion of F in F 0.726 * [taylor]: Taking taylor expansion of (* 1.0 (pow F 2)) in F 0.726 * [taylor]: Taking taylor expansion of 1.0 in F 0.726 * [taylor]: Taking taylor expansion of (pow F 2) in F 0.726 * [taylor]: Taking taylor expansion of F in F 0.734 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 0.734 * [approximate]: Taking taylor expansion of (* PI l) in (l) around 0 0.734 * [taylor]: Taking taylor expansion of (* PI l) in l 0.734 * [taylor]: Taking taylor expansion of PI in l 0.734 * [taylor]: Taking taylor expansion of l in l 0.734 * [taylor]: Taking taylor expansion of (* PI l) in l 0.734 * [taylor]: Taking taylor expansion of PI in l 0.734 * [taylor]: Taking taylor expansion of l in l 0.740 * [approximate]: Taking taylor expansion of (/ PI l) in (l) around 0 0.740 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.740 * [taylor]: Taking taylor expansion of PI in l 0.740 * [taylor]: Taking taylor expansion of l in l 0.740 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.740 * [taylor]: Taking taylor expansion of PI in l 0.740 * [taylor]: Taking taylor expansion of l in l 0.744 * [approximate]: Taking taylor expansion of (* -1 (/ PI l)) in (l) around 0 0.744 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 0.745 * [taylor]: Taking taylor expansion of -1 in l 0.745 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.745 * [taylor]: Taking taylor expansion of PI in l 0.745 * [taylor]: Taking taylor expansion of l in l 0.745 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 0.745 * [taylor]: Taking taylor expansion of -1 in l 0.745 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.745 * [taylor]: Taking taylor expansion of PI in l 0.745 * [taylor]: Taking taylor expansion of l in l 0.753 * * * [progress]: simplifying candidates 0.755 * [simplify]: Simplifying using # : (expm1 (tan (* PI l))) (log1p (tan (* PI l))) (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))) (expm1 (* (/ 1.0 (* F F)) (tan (* PI l)))) (log1p (* (/ 1.0 (* F F)) (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))) (expm1 (/ 1.0 (* F F))) (log1p (/ 1.0 (* F F))) (- (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) (expm1 (* PI l)) (log1p (* 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) (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) 0.762 * * [simplify]: iteration 0 : 334 enodes (cost 468 ) 0.768 * * [simplify]: iteration 1 : 1442 enodes (cost 399 ) 0.795 * * [simplify]: iteration 2 : 5001 enodes (cost 398 ) 0.797 * [simplify]: Simplified to: (expm1 (tan (* PI l))) (log1p (tan (* PI l))) (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))) (expm1 (* (/ 1.0 (* F F)) (tan (* PI l)))) (log1p (* (/ 1.0 (* F F)) (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))) (expm1 (/ 1.0 (* F F))) (log1p (/ 1.0 (* F F))) (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) (expm1 (* PI l)) (log1p (* 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) (fma 1/3 (pow (* PI l) 3) (fma (* 2/15 (pow PI 5)) (pow l 5) (* PI l))) (/ (sin (* PI l)) (cos (* PI l))) (/ (sin (* PI l)) (cos (* PI l))) (fma 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) 0.798 * * * [progress]: adding candidates to table 1.017 * * [progress]: iteration 2 / 4 1.017 * * * [progress]: picking best candidate 1.046 * * * * [pick]: Picked # 1.046 * * * [progress]: localizing error 1.057 * * * [progress]: generating rewritten candidates 1.057 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 1.059 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 1.071 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 2 1) 1.073 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.081 * * * [progress]: generating series expansions 1.081 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 1.081 * [approximate]: Taking taylor expansion of (tan (* PI l)) in (l) around 0 1.081 * [taylor]: Taking taylor expansion of (tan (* PI l)) in l 1.081 * [taylor]: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) 1.081 * [taylor]: Taking taylor expansion of (sin (* PI l)) in l 1.081 * [taylor]: Taking taylor expansion of (* PI l) in l 1.081 * [taylor]: Taking taylor expansion of PI in l 1.081 * [taylor]: Taking taylor expansion of l in l 1.083 * [taylor]: Taking taylor expansion of (cos (* PI l)) in l 1.083 * [taylor]: Taking taylor expansion of (* PI l) in l 1.083 * [taylor]: Taking taylor expansion of PI in l 1.083 * [taylor]: Taking taylor expansion of l in l 1.086 * [taylor]: Taking taylor expansion of (tan (* PI l)) in l 1.086 * [taylor]: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) 1.086 * [taylor]: Taking taylor expansion of (sin (* PI l)) in l 1.086 * [taylor]: Taking taylor expansion of (* PI l) in l 1.086 * [taylor]: Taking taylor expansion of PI in l 1.086 * [taylor]: Taking taylor expansion of l in l 1.087 * [taylor]: Taking taylor expansion of (cos (* PI l)) in l 1.087 * [taylor]: Taking taylor expansion of (* PI l) in l 1.087 * [taylor]: Taking taylor expansion of PI in l 1.087 * [taylor]: Taking taylor expansion of l in l 1.133 * [approximate]: Taking taylor expansion of (tan (/ PI l)) in (l) around 0 1.133 * [taylor]: Taking taylor expansion of (tan (/ PI l)) in l 1.133 * [taylor]: Rewrote expression to (/ (sin (/ PI l)) (cos (/ PI l))) 1.133 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in l 1.133 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.133 * [taylor]: Taking taylor expansion of PI in l 1.133 * [taylor]: Taking taylor expansion of l in l 1.134 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in l 1.134 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.134 * [taylor]: Taking taylor expansion of PI in l 1.134 * [taylor]: Taking taylor expansion of l in l 1.134 * [taylor]: Taking taylor expansion of (tan (/ PI l)) in l 1.134 * [taylor]: Rewrote expression to (/ (sin (/ PI l)) (cos (/ PI l))) 1.134 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in l 1.134 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.134 * [taylor]: Taking taylor expansion of PI in l 1.134 * [taylor]: Taking taylor expansion of l in l 1.135 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in l 1.135 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.135 * [taylor]: Taking taylor expansion of PI in l 1.135 * [taylor]: Taking taylor expansion of l in l 1.137 * [approximate]: Taking taylor expansion of (tan (* -1 (/ PI l))) in (l) around 0 1.137 * [taylor]: Taking taylor expansion of (tan (* -1 (/ PI l))) in l 1.137 * [taylor]: Rewrote expression to (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 1.137 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in l 1.137 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.137 * [taylor]: Taking taylor expansion of -1 in l 1.137 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.137 * [taylor]: Taking taylor expansion of PI in l 1.137 * [taylor]: Taking taylor expansion of l in l 1.138 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in l 1.138 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.138 * [taylor]: Taking taylor expansion of -1 in l 1.138 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.138 * [taylor]: Taking taylor expansion of PI in l 1.138 * [taylor]: Taking taylor expansion of l in l 1.139 * [taylor]: Taking taylor expansion of (tan (* -1 (/ PI l))) in l 1.139 * [taylor]: Rewrote expression to (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 1.139 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in l 1.139 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.139 * [taylor]: Taking taylor expansion of -1 in l 1.139 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.139 * [taylor]: Taking taylor expansion of PI in l 1.139 * [taylor]: Taking taylor expansion of l in l 1.140 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in l 1.140 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.140 * [taylor]: Taking taylor expansion of -1 in l 1.140 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.140 * [taylor]: Taking taylor expansion of PI in l 1.140 * [taylor]: Taking taylor expansion of l in l 1.143 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 1.143 * [approximate]: Taking taylor expansion of (* 1.0 (/ (tan (* PI l)) F)) in (F l) around 0 1.143 * [taylor]: Taking taylor expansion of (* 1.0 (/ (tan (* PI l)) F)) in l 1.143 * [taylor]: Taking taylor expansion of 1.0 in l 1.143 * [taylor]: Taking taylor expansion of (/ (tan (* PI l)) F) in l 1.143 * [taylor]: Taking taylor expansion of (tan (* PI l)) in l 1.144 * [taylor]: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) 1.144 * [taylor]: Taking taylor expansion of (sin (* PI l)) in l 1.144 * [taylor]: Taking taylor expansion of (* PI l) in l 1.144 * [taylor]: Taking taylor expansion of PI in l 1.144 * [taylor]: Taking taylor expansion of l in l 1.145 * [taylor]: Taking taylor expansion of (cos (* PI l)) in l 1.145 * [taylor]: Taking taylor expansion of (* PI l) in l 1.145 * [taylor]: Taking taylor expansion of PI in l 1.145 * [taylor]: Taking taylor expansion of l in l 1.148 * [taylor]: Taking taylor expansion of F in l 1.148 * [taylor]: Taking taylor expansion of (* 1.0 (/ (tan (* PI l)) F)) in F 1.148 * [taylor]: Taking taylor expansion of 1.0 in F 1.148 * [taylor]: Taking taylor expansion of (/ (tan (* PI l)) F) in F 1.148 * [taylor]: Taking taylor expansion of (tan (* PI l)) in F 1.148 * [taylor]: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) 1.148 * [taylor]: Taking taylor expansion of (sin (* PI l)) in F 1.148 * [taylor]: Taking taylor expansion of (* PI l) in F 1.148 * [taylor]: Taking taylor expansion of PI in F 1.148 * [taylor]: Taking taylor expansion of l in F 1.148 * [taylor]: Taking taylor expansion of (cos (* PI l)) in F 1.148 * [taylor]: Taking taylor expansion of (* PI l) in F 1.148 * [taylor]: Taking taylor expansion of PI in F 1.148 * [taylor]: Taking taylor expansion of l in F 1.149 * [taylor]: Taking taylor expansion of F in F 1.149 * [taylor]: Taking taylor expansion of (* 1.0 (/ (tan (* PI l)) F)) in F 1.149 * [taylor]: Taking taylor expansion of 1.0 in F 1.149 * [taylor]: Taking taylor expansion of (/ (tan (* PI l)) F) in F 1.149 * [taylor]: Taking taylor expansion of (tan (* PI l)) in F 1.149 * [taylor]: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) 1.149 * [taylor]: Taking taylor expansion of (sin (* PI l)) in F 1.149 * [taylor]: Taking taylor expansion of (* PI l) in F 1.149 * [taylor]: Taking taylor expansion of PI in F 1.149 * [taylor]: Taking taylor expansion of l in F 1.150 * [taylor]: Taking taylor expansion of (cos (* PI l)) in F 1.150 * [taylor]: Taking taylor expansion of (* PI l) in F 1.150 * [taylor]: Taking taylor expansion of PI in F 1.150 * [taylor]: Taking taylor expansion of l in F 1.150 * [taylor]: Taking taylor expansion of F in F 1.150 * [taylor]: Taking taylor expansion of (* 1.0 (/ (sin (* PI l)) (cos (* PI l)))) in l 1.151 * [taylor]: Taking taylor expansion of 1.0 in l 1.151 * [taylor]: Taking taylor expansion of (/ (sin (* PI l)) (cos (* PI l))) in l 1.151 * [taylor]: Taking taylor expansion of (sin (* PI l)) in l 1.151 * [taylor]: Taking taylor expansion of (* PI l) in l 1.151 * [taylor]: Taking taylor expansion of PI in l 1.151 * [taylor]: Taking taylor expansion of l in l 1.152 * [taylor]: Taking taylor expansion of (cos (* PI l)) in l 1.152 * [taylor]: Taking taylor expansion of (* PI l) in l 1.152 * [taylor]: Taking taylor expansion of PI in l 1.152 * [taylor]: Taking taylor expansion of l in l 1.161 * [taylor]: Taking taylor expansion of 0 in l 1.173 * [taylor]: Taking taylor expansion of 0 in l 1.196 * [taylor]: Taking taylor expansion of 0 in l 1.213 * [taylor]: Taking taylor expansion of 0 in l 1.215 * [approximate]: Taking taylor expansion of (* 1.0 (* (tan (/ PI l)) F)) in (F l) around 0 1.215 * [taylor]: Taking taylor expansion of (* 1.0 (* (tan (/ PI l)) F)) in l 1.215 * [taylor]: Taking taylor expansion of 1.0 in l 1.215 * [taylor]: Taking taylor expansion of (* (tan (/ PI l)) F) in l 1.215 * [taylor]: Taking taylor expansion of (tan (/ PI l)) in l 1.215 * [taylor]: Rewrote expression to (/ (sin (/ PI l)) (cos (/ PI l))) 1.215 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in l 1.215 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.215 * [taylor]: Taking taylor expansion of PI in l 1.215 * [taylor]: Taking taylor expansion of l in l 1.215 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in l 1.216 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.216 * [taylor]: Taking taylor expansion of PI in l 1.216 * [taylor]: Taking taylor expansion of l in l 1.216 * [taylor]: Taking taylor expansion of F in l 1.216 * [taylor]: Taking taylor expansion of (* 1.0 (* (tan (/ PI l)) F)) in F 1.216 * [taylor]: Taking taylor expansion of 1.0 in F 1.216 * [taylor]: Taking taylor expansion of (* (tan (/ PI l)) F) in F 1.216 * [taylor]: Taking taylor expansion of (tan (/ PI l)) in F 1.216 * [taylor]: Rewrote expression to (/ (sin (/ PI l)) (cos (/ PI l))) 1.216 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in F 1.216 * [taylor]: Taking taylor expansion of (/ PI l) in F 1.216 * [taylor]: Taking taylor expansion of PI in F 1.216 * [taylor]: Taking taylor expansion of l in F 1.216 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in F 1.216 * [taylor]: Taking taylor expansion of (/ PI l) in F 1.216 * [taylor]: Taking taylor expansion of PI in F 1.216 * [taylor]: Taking taylor expansion of l in F 1.217 * [taylor]: Taking taylor expansion of F in F 1.217 * [taylor]: Taking taylor expansion of (* 1.0 (* (tan (/ PI l)) F)) in F 1.217 * [taylor]: Taking taylor expansion of 1.0 in F 1.217 * [taylor]: Taking taylor expansion of (* (tan (/ PI l)) F) in F 1.217 * [taylor]: Taking taylor expansion of (tan (/ PI l)) in F 1.217 * [taylor]: Rewrote expression to (/ (sin (/ PI l)) (cos (/ PI l))) 1.217 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in F 1.217 * [taylor]: Taking taylor expansion of (/ PI l) in F 1.217 * [taylor]: Taking taylor expansion of PI in F 1.217 * [taylor]: Taking taylor expansion of l in F 1.217 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in F 1.217 * [taylor]: Taking taylor expansion of (/ PI l) in F 1.217 * [taylor]: Taking taylor expansion of PI in F 1.217 * [taylor]: Taking taylor expansion of l in F 1.218 * [taylor]: Taking taylor expansion of F in F 1.218 * [taylor]: Taking taylor expansion of 0 in l 1.223 * [taylor]: Taking taylor expansion of (* 1.0 (/ (sin (/ PI l)) (cos (/ PI l)))) in l 1.223 * [taylor]: Taking taylor expansion of 1.0 in l 1.223 * [taylor]: Taking taylor expansion of (/ (sin (/ PI l)) (cos (/ PI l))) in l 1.223 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in l 1.223 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.223 * [taylor]: Taking taylor expansion of PI in l 1.223 * [taylor]: Taking taylor expansion of l in l 1.223 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in l 1.223 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.223 * [taylor]: Taking taylor expansion of PI in l 1.223 * [taylor]: Taking taylor expansion of l in l 1.229 * [taylor]: Taking taylor expansion of 0 in l 1.237 * [taylor]: Taking taylor expansion of 0 in l 1.237 * [approximate]: Taking taylor expansion of (* -1.0 (* (tan (* -1 (/ PI l))) F)) in (F l) around 0 1.237 * [taylor]: Taking taylor expansion of (* -1.0 (* (tan (* -1 (/ PI l))) F)) in l 1.237 * [taylor]: Taking taylor expansion of -1.0 in l 1.237 * [taylor]: Taking taylor expansion of (* (tan (* -1 (/ PI l))) F) in l 1.237 * [taylor]: Taking taylor expansion of (tan (* -1 (/ PI l))) in l 1.238 * [taylor]: Rewrote expression to (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 1.238 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in l 1.238 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.238 * [taylor]: Taking taylor expansion of -1 in l 1.238 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.238 * [taylor]: Taking taylor expansion of PI in l 1.238 * [taylor]: Taking taylor expansion of l in l 1.238 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in l 1.238 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.238 * [taylor]: Taking taylor expansion of -1 in l 1.238 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.238 * [taylor]: Taking taylor expansion of PI in l 1.238 * [taylor]: Taking taylor expansion of l in l 1.239 * [taylor]: Taking taylor expansion of F in l 1.239 * [taylor]: Taking taylor expansion of (* -1.0 (* (tan (* -1 (/ PI l))) F)) in F 1.239 * [taylor]: Taking taylor expansion of -1.0 in F 1.239 * [taylor]: Taking taylor expansion of (* (tan (* -1 (/ PI l))) F) in F 1.239 * [taylor]: Taking taylor expansion of (tan (* -1 (/ PI l))) in F 1.239 * [taylor]: Rewrote expression to (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 1.239 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in F 1.239 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in F 1.239 * [taylor]: Taking taylor expansion of -1 in F 1.239 * [taylor]: Taking taylor expansion of (/ PI l) in F 1.239 * [taylor]: Taking taylor expansion of PI in F 1.240 * [taylor]: Taking taylor expansion of l in F 1.240 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in F 1.240 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in F 1.240 * [taylor]: Taking taylor expansion of -1 in F 1.240 * [taylor]: Taking taylor expansion of (/ PI l) in F 1.240 * [taylor]: Taking taylor expansion of PI in F 1.240 * [taylor]: Taking taylor expansion of l in F 1.241 * [taylor]: Taking taylor expansion of F in F 1.241 * [taylor]: Taking taylor expansion of (* -1.0 (* (tan (* -1 (/ PI l))) F)) in F 1.241 * [taylor]: Taking taylor expansion of -1.0 in F 1.241 * [taylor]: Taking taylor expansion of (* (tan (* -1 (/ PI l))) F) in F 1.241 * [taylor]: Taking taylor expansion of (tan (* -1 (/ PI l))) in F 1.241 * [taylor]: Rewrote expression to (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 1.241 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in F 1.241 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in F 1.241 * [taylor]: Taking taylor expansion of -1 in F 1.241 * [taylor]: Taking taylor expansion of (/ PI l) in F 1.241 * [taylor]: Taking taylor expansion of PI in F 1.241 * [taylor]: Taking taylor expansion of l in F 1.241 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in F 1.241 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in F 1.241 * [taylor]: Taking taylor expansion of -1 in F 1.241 * [taylor]: Taking taylor expansion of (/ PI l) in F 1.241 * [taylor]: Taking taylor expansion of PI in F 1.241 * [taylor]: Taking taylor expansion of l in F 1.242 * [taylor]: Taking taylor expansion of F in F 1.242 * [taylor]: Taking taylor expansion of 0 in l 1.247 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))))) in l 1.247 * [taylor]: Taking taylor expansion of (* 1.0 (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l))))) in l 1.247 * [taylor]: Taking taylor expansion of 1.0 in l 1.247 * [taylor]: Taking taylor expansion of (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) in l 1.247 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in l 1.247 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.247 * [taylor]: Taking taylor expansion of -1 in l 1.247 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.248 * [taylor]: Taking taylor expansion of PI in l 1.248 * [taylor]: Taking taylor expansion of l in l 1.251 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in l 1.251 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.251 * [taylor]: Taking taylor expansion of -1 in l 1.251 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.251 * [taylor]: Taking taylor expansion of PI in l 1.251 * [taylor]: Taking taylor expansion of l in l 1.259 * [taylor]: Taking taylor expansion of 0 in l 1.268 * [taylor]: Taking taylor expansion of 0 in l 1.269 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 2 1) 1.269 * [approximate]: Taking taylor expansion of (* PI l) in (l) around 0 1.269 * [taylor]: Taking taylor expansion of (* PI l) in l 1.269 * [taylor]: Taking taylor expansion of PI in l 1.269 * [taylor]: Taking taylor expansion of l in l 1.269 * [taylor]: Taking taylor expansion of (* PI l) in l 1.269 * [taylor]: Taking taylor expansion of PI in l 1.269 * [taylor]: Taking taylor expansion of l in l 1.275 * [approximate]: Taking taylor expansion of (/ PI l) in (l) around 0 1.275 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.275 * [taylor]: Taking taylor expansion of PI in l 1.275 * [taylor]: Taking taylor expansion of l in l 1.275 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.275 * [taylor]: Taking taylor expansion of PI in l 1.275 * [taylor]: Taking taylor expansion of l in l 1.279 * [approximate]: Taking taylor expansion of (* -1 (/ PI l)) in (l) around 0 1.279 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.279 * [taylor]: Taking taylor expansion of -1 in l 1.279 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.279 * [taylor]: Taking taylor expansion of PI in l 1.279 * [taylor]: Taking taylor expansion of l in l 1.280 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.280 * [taylor]: Taking taylor expansion of -1 in l 1.280 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.280 * [taylor]: Taking taylor expansion of PI in l 1.280 * [taylor]: Taking taylor expansion of l in l 1.288 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.288 * [approximate]: Taking taylor expansion of (* PI l) in (l) around 0 1.288 * [taylor]: Taking taylor expansion of (* PI l) in l 1.288 * [taylor]: Taking taylor expansion of PI in l 1.288 * [taylor]: Taking taylor expansion of l in l 1.288 * [taylor]: Taking taylor expansion of (* PI l) in l 1.288 * [taylor]: Taking taylor expansion of PI in l 1.288 * [taylor]: Taking taylor expansion of l in l 1.294 * [approximate]: Taking taylor expansion of (/ PI l) in (l) around 0 1.294 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.294 * [taylor]: Taking taylor expansion of PI in l 1.294 * [taylor]: Taking taylor expansion of l in l 1.294 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.294 * [taylor]: Taking taylor expansion of PI in l 1.294 * [taylor]: Taking taylor expansion of l in l 1.298 * [approximate]: Taking taylor expansion of (* -1 (/ PI l)) in (l) around 0 1.298 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.298 * [taylor]: Taking taylor expansion of -1 in l 1.298 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.298 * [taylor]: Taking taylor expansion of PI in l 1.298 * [taylor]: Taking taylor expansion of 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 1.307 * * * [progress]: simplifying candidates 1.309 * [simplify]: Simplifying using # : (expm1 (tan (* PI l))) (log1p (tan (* PI l))) (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))) (expm1 (* (/ 1.0 F) (tan (* PI l)))) (log1p (* (/ 1.0 F) (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))) (expm1 (* PI l)) (log1p (* 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) (expm1 (* PI l)) (log1p (* 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) 1.313 * * [simplify]: iteration 0 : 286 enodes (cost 403 ) 1.318 * * [simplify]: iteration 1 : 1032 enodes (cost 363 ) 1.336 * * [simplify]: iteration 2 : 3928 enodes (cost 361 ) 1.391 * * [simplify]: iteration 3 : 5001 enodes (cost 360 ) 1.393 * [simplify]: Simplified to: (expm1 (tan (* PI l))) (log1p (tan (* PI l))) (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))) (expm1 (* (/ 1.0 F) (tan (* PI l)))) (log1p (* (/ 1.0 F) (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))) (expm1 (* PI l)) (log1p (* 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) (expm1 (* PI l)) (log1p (* 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) (fma 1/3 (pow (* PI l) 3) (fma (* 2/15 (pow PI 5)) (pow l 5) (* PI l))) (/ (sin (* PI l)) (cos (* PI l))) (/ (sin (* PI l)) (cos (* PI l))) (fma (* 1.0 (/ PI F)) l (/ (pow (* PI l) 3) (/ F 0.3333333333333333))) (* 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) 1.394 * * * [progress]: adding candidates to table 1.633 * * [progress]: iteration 3 / 4 1.633 * * * [progress]: picking best candidate 1.684 * * * * [pick]: Picked # 1.684 * * * [progress]: localizing error 1.702 * * * [progress]: generating rewritten candidates 1.702 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2 1) 1.704 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 2 1) 1.706 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 2) 1.711 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 2 2 1 1) 1.715 * * * [progress]: generating series expansions 1.715 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2 1) 1.716 * [approximate]: Taking taylor expansion of (sin (* PI l)) in (l) around 0 1.716 * [taylor]: Taking taylor expansion of (sin (* PI l)) in l 1.716 * [taylor]: Taking taylor expansion of (* PI l) in l 1.716 * [taylor]: Taking taylor expansion of PI in l 1.716 * [taylor]: Taking taylor expansion of l in l 1.717 * [taylor]: Taking taylor expansion of (sin (* PI l)) in l 1.717 * [taylor]: Taking taylor expansion of (* PI l) in l 1.717 * [taylor]: Taking taylor expansion of PI in l 1.717 * [taylor]: Taking taylor expansion of l in l 1.736 * [approximate]: Taking taylor expansion of (sin (/ PI l)) in (l) around 0 1.736 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in l 1.736 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.736 * [taylor]: Taking taylor expansion of PI in l 1.736 * [taylor]: Taking taylor expansion of l in l 1.736 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in l 1.736 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.736 * [taylor]: Taking taylor expansion of PI in l 1.736 * [taylor]: Taking taylor expansion of l in l 1.737 * [approximate]: Taking taylor expansion of (sin (* -1 (/ PI l))) in (l) around 0 1.737 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in l 1.737 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.737 * [taylor]: Taking taylor expansion of -1 in l 1.737 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.737 * [taylor]: Taking taylor expansion of PI in l 1.737 * [taylor]: Taking taylor expansion of l in l 1.738 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in l 1.738 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.738 * [taylor]: Taking taylor expansion of -1 in l 1.738 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.738 * [taylor]: Taking taylor expansion of PI in l 1.738 * [taylor]: Taking taylor expansion of l in l 1.739 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 2 1) 1.739 * [approximate]: Taking taylor expansion of (cos (* PI l)) in (l) around 0 1.739 * [taylor]: Taking taylor expansion of (cos (* PI l)) in l 1.739 * [taylor]: Taking taylor expansion of (* PI l) in l 1.739 * [taylor]: Taking taylor expansion of PI in l 1.739 * [taylor]: Taking taylor expansion of l in l 1.740 * [taylor]: Taking taylor expansion of (cos (* PI l)) in l 1.740 * [taylor]: Taking taylor expansion of (* PI l) in l 1.740 * [taylor]: Taking taylor expansion of PI in l 1.740 * [taylor]: Taking taylor expansion of l in l 1.753 * [approximate]: Taking taylor expansion of (cos (/ PI l)) in (l) around 0 1.753 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in l 1.753 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.753 * [taylor]: Taking taylor expansion of PI in l 1.753 * [taylor]: Taking taylor expansion of l in l 1.754 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in l 1.754 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.754 * [taylor]: Taking taylor expansion of PI in l 1.754 * [taylor]: Taking taylor expansion of l in l 1.754 * [approximate]: Taking taylor expansion of (cos (* -1 (/ PI l))) in (l) around 0 1.754 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in l 1.754 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.754 * [taylor]: Taking taylor expansion of -1 in l 1.754 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.754 * [taylor]: Taking taylor expansion of PI in l 1.754 * [taylor]: Taking taylor expansion of l in l 1.755 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in l 1.755 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.755 * [taylor]: Taking taylor expansion of -1 in l 1.755 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.755 * [taylor]: Taking taylor expansion of PI in l 1.755 * [taylor]: Taking taylor expansion of l in l 1.756 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 2) 1.756 * [approximate]: Taking taylor expansion of (/ (sin (* PI l)) (* (cos (* PI l)) F)) in (l F) around 0 1.756 * [taylor]: Taking taylor expansion of (/ (sin (* PI l)) (* (cos (* PI l)) F)) in F 1.756 * [taylor]: Taking taylor expansion of (sin (* PI l)) in F 1.756 * [taylor]: Taking taylor expansion of (* PI l) in F 1.756 * [taylor]: Taking taylor expansion of PI in F 1.756 * [taylor]: Taking taylor expansion of l in F 1.756 * [taylor]: Taking taylor expansion of (* (cos (* PI l)) F) in F 1.756 * [taylor]: Taking taylor expansion of (cos (* PI l)) in F 1.756 * [taylor]: Taking taylor expansion of (* PI l) in F 1.756 * [taylor]: Taking taylor expansion of PI in F 1.756 * [taylor]: Taking taylor expansion of l in F 1.756 * [taylor]: Taking taylor expansion of F in F 1.759 * [taylor]: Taking taylor expansion of (/ (sin (* PI l)) (* (cos (* PI l)) F)) in l 1.759 * [taylor]: Taking taylor expansion of (sin (* 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 1.761 * [taylor]: Taking taylor expansion of (* (cos (* PI l)) F) in l 1.761 * [taylor]: Taking taylor expansion of (cos (* PI l)) 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 * [taylor]: Taking taylor expansion of F in l 1.764 * [taylor]: Taking taylor expansion of (/ (sin (* PI l)) (* (cos (* PI l)) F)) in l 1.764 * [taylor]: Taking taylor expansion of (sin (* PI l)) in l 1.764 * [taylor]: Taking taylor expansion of (* PI l) in l 1.764 * [taylor]: Taking taylor expansion of PI in l 1.764 * [taylor]: Taking taylor expansion of l in l 1.765 * [taylor]: Taking taylor expansion of (* (cos (* PI l)) F) in l 1.765 * [taylor]: Taking taylor expansion of (cos (* PI l)) in l 1.765 * [taylor]: Taking taylor expansion of (* PI l) in l 1.765 * [taylor]: Taking taylor expansion of PI in l 1.765 * [taylor]: Taking taylor expansion of l in l 1.766 * [taylor]: Taking taylor expansion of F in l 1.768 * [taylor]: Taking taylor expansion of (/ PI F) in F 1.768 * [taylor]: Taking taylor expansion of PI in F 1.768 * [taylor]: Taking taylor expansion of F in F 1.770 * [taylor]: Taking taylor expansion of 0 in F 1.778 * [taylor]: Taking taylor expansion of (* 1/3 (/ (pow PI 3) F)) in F 1.779 * [taylor]: Taking taylor expansion of 1/3 in F 1.779 * [taylor]: Taking taylor expansion of (/ (pow PI 3) F) in F 1.779 * [taylor]: Taking taylor expansion of (pow PI 3) in F 1.779 * [taylor]: Taking taylor expansion of PI in F 1.779 * [taylor]: Taking taylor expansion of F in F 1.791 * [taylor]: Taking taylor expansion of 0 in F 1.808 * [taylor]: Taking taylor expansion of (* 2/15 (/ (pow PI 5) F)) in F 1.808 * [taylor]: Taking taylor expansion of 2/15 in F 1.809 * [taylor]: Taking taylor expansion of (/ (pow PI 5) F) in F 1.809 * [taylor]: Taking taylor expansion of (pow PI 5) in F 1.809 * [taylor]: Taking taylor expansion of PI in F 1.809 * [taylor]: Taking taylor expansion of F in F 1.815 * [approximate]: Taking taylor expansion of (/ (* (sin (/ PI l)) F) (cos (/ PI l))) in (l F) around 0 1.815 * [taylor]: Taking taylor expansion of (/ (* (sin (/ PI l)) F) (cos (/ PI l))) in F 1.815 * [taylor]: Taking taylor expansion of (* (sin (/ PI l)) F) in F 1.815 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in F 1.815 * [taylor]: Taking taylor expansion of (/ PI l) in F 1.815 * [taylor]: Taking taylor expansion of PI in F 1.815 * [taylor]: Taking taylor expansion of l in F 1.815 * [taylor]: Taking taylor expansion of F in F 1.815 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in F 1.815 * [taylor]: Taking taylor expansion of (/ PI l) in F 1.815 * [taylor]: Taking taylor expansion of PI in F 1.815 * [taylor]: Taking taylor expansion of l in F 1.817 * [taylor]: Taking taylor expansion of (/ (* (sin (/ PI l)) F) (cos (/ PI l))) in l 1.817 * [taylor]: Taking taylor expansion of (* (sin (/ PI l)) F) in l 1.817 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in l 1.817 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.817 * [taylor]: Taking taylor expansion of PI in l 1.817 * [taylor]: Taking taylor expansion of l in l 1.818 * [taylor]: Taking taylor expansion of F in l 1.818 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in l 1.818 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.818 * [taylor]: Taking taylor expansion of PI in l 1.818 * [taylor]: Taking taylor expansion of l in l 1.818 * [taylor]: Taking taylor expansion of (/ (* (sin (/ PI l)) F) (cos (/ PI l))) in l 1.818 * [taylor]: Taking taylor expansion of (* (sin (/ PI l)) F) in l 1.818 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in l 1.818 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.818 * [taylor]: Taking taylor expansion of PI in l 1.818 * [taylor]: Taking taylor expansion of l in l 1.819 * [taylor]: Taking taylor expansion of F in l 1.819 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in l 1.819 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.819 * [taylor]: Taking taylor expansion of PI in l 1.819 * [taylor]: Taking taylor expansion of l in l 1.820 * [taylor]: Taking taylor expansion of (/ (* (sin (/ PI l)) F) (cos (/ PI l))) in F 1.820 * [taylor]: Taking taylor expansion of (* (sin (/ PI l)) F) in F 1.820 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in F 1.820 * [taylor]: Taking taylor expansion of (/ PI l) in F 1.820 * [taylor]: Taking taylor expansion of PI in F 1.820 * [taylor]: Taking taylor expansion of l in F 1.820 * [taylor]: Taking taylor expansion of F in F 1.820 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in F 1.820 * [taylor]: Taking taylor expansion of (/ PI l) in F 1.820 * [taylor]: Taking taylor expansion of PI in F 1.820 * [taylor]: Taking taylor expansion of l in F 1.823 * [taylor]: Taking taylor expansion of 0 in F 1.827 * [taylor]: Taking taylor expansion of 0 in F 1.834 * [taylor]: Taking taylor expansion of 0 in F 1.834 * [approximate]: Taking taylor expansion of (* -1 (/ (* F (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l))))) in (l F) around 0 1.834 * [taylor]: Taking taylor expansion of (* -1 (/ (* F (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l))))) in F 1.834 * [taylor]: Taking taylor expansion of -1 in F 1.834 * [taylor]: Taking taylor expansion of (/ (* F (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l)))) in F 1.834 * [taylor]: Taking taylor expansion of (* F (sin (* -1 (/ PI l)))) in F 1.834 * [taylor]: Taking taylor expansion of F in F 1.834 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in F 1.834 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in F 1.834 * [taylor]: Taking taylor expansion of -1 in F 1.834 * [taylor]: Taking taylor expansion of (/ PI l) in F 1.834 * [taylor]: Taking taylor expansion of PI in F 1.834 * [taylor]: Taking taylor expansion of l in F 1.834 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in F 1.835 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in F 1.835 * [taylor]: Taking taylor expansion of -1 in F 1.835 * [taylor]: Taking taylor expansion of (/ PI l) in F 1.835 * [taylor]: Taking taylor expansion of PI in F 1.835 * [taylor]: Taking taylor expansion of l in F 1.838 * [taylor]: Taking taylor expansion of (* -1 (/ (* F (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l))))) in l 1.838 * [taylor]: Taking taylor expansion of -1 in l 1.838 * [taylor]: Taking taylor expansion of (/ (* F (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l)))) in l 1.838 * [taylor]: Taking taylor expansion of (* F (sin (* -1 (/ PI l)))) in l 1.838 * [taylor]: Taking taylor expansion of F in l 1.838 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in l 1.838 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.838 * [taylor]: Taking taylor expansion of -1 in l 1.838 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.838 * [taylor]: Taking taylor expansion of PI in l 1.838 * [taylor]: Taking taylor expansion of l in l 1.838 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in l 1.838 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.838 * [taylor]: Taking taylor expansion of -1 in l 1.838 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.838 * [taylor]: Taking taylor expansion of PI in l 1.838 * [taylor]: Taking taylor expansion of l in l 1.839 * [taylor]: Taking taylor expansion of (* -1 (/ (* F (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l))))) in l 1.839 * [taylor]: Taking taylor expansion of -1 in l 1.839 * [taylor]: Taking taylor expansion of (/ (* F (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l)))) in l 1.839 * [taylor]: Taking taylor expansion of (* F (sin (* -1 (/ PI l)))) in l 1.839 * [taylor]: Taking taylor expansion of F in l 1.839 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in l 1.839 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.839 * [taylor]: Taking taylor expansion of -1 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 (cos (* -1 (/ PI l))) in l 1.840 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.840 * [taylor]: Taking taylor expansion of -1 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 (* -1 (/ (* F (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l))))) in F 1.841 * [taylor]: Taking taylor expansion of -1 in F 1.841 * [taylor]: Taking taylor expansion of (/ (* F (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l)))) in F 1.841 * [taylor]: Taking taylor expansion of (* F (sin (* -1 (/ PI l)))) in F 1.841 * [taylor]: Taking taylor expansion of F in F 1.841 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in F 1.841 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in F 1.841 * [taylor]: Taking taylor expansion of -1 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 1.841 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in F 1.842 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in F 1.842 * [taylor]: Taking taylor expansion of -1 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 1.845 * [taylor]: Taking taylor expansion of 0 in F 1.852 * [taylor]: Taking taylor expansion of 0 in F 1.862 * [taylor]: Taking taylor expansion of 0 in F 1.862 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 2 2 1 1) 1.863 * [approximate]: Taking taylor expansion of (* PI l) in (l) around 0 1.863 * [taylor]: Taking taylor expansion of (* PI l) in l 1.863 * [taylor]: Taking taylor expansion of PI in l 1.863 * [taylor]: Taking taylor expansion of l in l 1.863 * [taylor]: Taking taylor expansion of (* PI l) in l 1.863 * [taylor]: Taking taylor expansion of PI in l 1.863 * [taylor]: Taking taylor expansion of l in l 1.868 * [approximate]: Taking taylor expansion of (/ PI l) in (l) around 0 1.868 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.868 * [taylor]: Taking taylor expansion of PI in l 1.868 * [taylor]: Taking taylor expansion of l in l 1.869 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.869 * [taylor]: Taking taylor expansion of PI in l 1.869 * [taylor]: Taking taylor expansion of l in l 1.876 * [approximate]: Taking taylor expansion of (* -1 (/ PI l)) in (l) around 0 1.876 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.876 * [taylor]: Taking taylor expansion of -1 in l 1.876 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.876 * [taylor]: Taking taylor expansion of PI in l 1.876 * [taylor]: Taking taylor expansion of l in l 1.876 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.876 * [taylor]: Taking taylor expansion of -1 in l 1.876 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.876 * [taylor]: Taking taylor expansion of PI in l 1.876 * [taylor]: Taking taylor expansion of l in l 1.885 * * * [progress]: simplifying candidates 1.886 * [simplify]: Simplifying using # : (expm1 (sin (* PI l))) (log1p (sin (* 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))) (expm1 (cos (* PI l))) (log1p (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))) (expm1 (/ (sin (* PI l)) (* (cos (* PI l)) F))) (log1p (/ (sin (* PI l)) (* (cos (* PI l)) F))) (- (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))) (expm1 (* PI l)) (log1p (* 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) (- (+ (* 1/120 (* (pow PI 5) (pow l 5))) (* PI l)) (* 1/6 (* (pow PI 3) (pow l 3)))) (sin (* PI l)) (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)) (+ (/ (* 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) 1.891 * * [simplify]: iteration 0 : 278 enodes (cost 386 ) 1.896 * * [simplify]: iteration 1 : 1052 enodes (cost 331 ) 1.917 * * [simplify]: iteration 2 : 5002 enodes (cost 329 ) 1.919 * [simplify]: Simplified to: (expm1 (sin (* PI l))) (log1p (sin (* 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))) (expm1 (cos (* PI l))) (log1p (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))) (expm1 (/ (sin (* PI l)) (* (cos (* PI l)) F))) (log1p (/ (sin (* PI l)) (* (cos (* PI l)) F))) (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))) (expm1 (* PI l)) (log1p (* 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) (fma (- 1/6) (pow (* PI l) 3) (fma 1/120 (* (pow PI 5) (pow l 5)) (* PI l))) (sin (* PI l)) (sin (* PI l)) (fma (* 1/24 (pow PI 4)) (pow l 4) (- 1 (* 1/2 (* (pow PI 2) (pow l 2))))) (cos (* PI l)) (cos (* PI l)) (fma (/ PI F) l (fma 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) 1.920 * * * [progress]: adding candidates to table 2.139 * * [progress]: iteration 4 / 4 2.139 * * * [progress]: picking best candidate 2.191 * * * * [pick]: Picked # 2.191 * * * [progress]: localizing error 2.214 * * * [progress]: generating rewritten candidates 2.214 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2 1) 2.216 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 2 1) 2.223 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 2 2 1 1 1) 2.229 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 2 2 1 1 2 1) 2.231 * * * [progress]: generating series expansions 2.231 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2 1) 2.232 * [approximate]: Taking taylor expansion of (sin (* PI l)) in (l) around 0 2.232 * [taylor]: Taking taylor expansion of (sin (* 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 * [taylor]: Taking taylor expansion of (sin (* PI l)) 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 2.252 * [approximate]: Taking taylor expansion of (sin (/ PI l)) in (l) around 0 2.252 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in l 2.252 * [taylor]: Taking taylor expansion of (/ PI l) in l 2.252 * [taylor]: Taking taylor expansion of PI in l 2.252 * [taylor]: Taking taylor expansion of l in l 2.252 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in l 2.252 * [taylor]: Taking taylor expansion of (/ PI l) in l 2.252 * [taylor]: Taking taylor expansion of PI in l 2.252 * [taylor]: Taking taylor expansion of l in l 2.253 * [approximate]: Taking taylor expansion of (sin (* -1 (/ PI l))) in (l) around 0 2.253 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in l 2.253 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 2.253 * [taylor]: Taking taylor expansion of -1 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 (* -1 (/ PI l))) in l 2.254 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 2.254 * [taylor]: Taking taylor expansion of -1 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 2.255 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 2 1) 2.256 * [approximate]: Taking taylor expansion of (cos (* PI l)) in (l) around 0 2.256 * [taylor]: Taking taylor expansion of (cos (* PI l)) in l 2.256 * [taylor]: Taking taylor expansion of (* PI l) in l 2.256 * [taylor]: Taking taylor expansion of PI in l 2.256 * [taylor]: Taking taylor expansion of l in l 2.257 * [taylor]: Taking taylor expansion of (cos (* PI l)) in l 2.257 * [taylor]: Taking taylor expansion of (* PI l) in l 2.257 * [taylor]: Taking taylor expansion of PI in l 2.257 * [taylor]: Taking taylor expansion of l in l 2.271 * [approximate]: Taking taylor expansion of (cos (/ PI l)) in (l) around 0 2.271 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in l 2.271 * [taylor]: Taking taylor expansion of (/ PI l) in l 2.271 * [taylor]: Taking taylor expansion of PI in l 2.271 * [taylor]: Taking taylor expansion of l in l 2.272 * [taylor]: Taking taylor expansion of (cos (/ 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 (cos (* -1 (/ PI l))) in (l) around 0 2.273 * [taylor]: Taking taylor expansion of (cos (* -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 2.274 * [taylor]: Taking taylor expansion of PI in l 2.274 * [taylor]: Taking taylor expansion of l in l 2.274 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in l 2.274 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 2.274 * [taylor]: Taking taylor expansion of -1 in l 2.274 * [taylor]: Taking taylor expansion of (/ PI l) in l 2.274 * [taylor]: Taking taylor expansion of PI in l 2.274 * [taylor]: Taking taylor expansion of l in l 2.275 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 2 2 1 1 1) 2.275 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 2 2 1 1 2 1) 2.275 * * * [progress]: simplifying candidates 2.276 * [simplify]: Simplifying using # : (expm1 (sin (* PI l))) (log1p (sin (* 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))) (expm1 (cos (* (* (cbrt PI) (cbrt PI)) (* (cbrt PI) l)))) (log1p (cos (* (* (cbrt PI) (cbrt PI)) (* (cbrt PI) l)))) (log (cos (* (* (cbrt PI) (cbrt PI)) (* (cbrt PI) l)))) (exp (cos (* (* (cbrt PI) (cbrt PI)) (* (cbrt PI) l)))) (* (cbrt (cos (* (* (cbrt PI) (cbrt PI)) (* (cbrt PI) l)))) (cbrt (cos (* (* (cbrt PI) (cbrt PI)) (* (cbrt PI) l))))) (cbrt (cos (* (* (cbrt PI) (cbrt PI)) (* (cbrt PI) l)))) (* (* (cos (* (* (cbrt PI) (cbrt PI)) (* (cbrt PI) l))) (cos (* (* (cbrt PI) (cbrt PI)) (* (cbrt PI) l)))) (cos (* (* (cbrt PI) (cbrt PI)) (* (cbrt PI) l)))) (sqrt (cos (* (* (cbrt PI) (cbrt PI)) (* (cbrt PI) l)))) (sqrt (cos (* (* (cbrt PI) (cbrt PI)) (* (cbrt PI) l)))) (expm1 (* (cbrt PI) (cbrt PI))) (log1p (* (cbrt PI) (cbrt PI))) (+ 1/3 1/3) (+ 1 1) (* PI PI) (* (cbrt PI) (cbrt PI)) (+ 1 1) (+ (log (cbrt PI)) (log (cbrt PI))) (log (* (cbrt PI) (cbrt PI))) (exp (* (cbrt PI) (cbrt PI))) (* PI PI) (* (cbrt (* (cbrt PI) (cbrt PI))) (cbrt (* (cbrt PI) (cbrt PI)))) (cbrt (* (cbrt PI) (cbrt PI))) (* (* (* (cbrt PI) (cbrt PI)) (* (cbrt PI) (cbrt PI))) (* (cbrt PI) (cbrt PI))) (sqrt (* (cbrt PI) (cbrt PI))) (sqrt (* (cbrt PI) (cbrt PI))) (* (cbrt (* (cbrt PI) (cbrt PI))) (cbrt (* (cbrt PI) (cbrt PI)))) (* (cbrt (cbrt PI)) (cbrt (cbrt PI))) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (* (cbrt 1) (cbrt 1)) (* (cbrt PI) (cbrt PI)) (* (* (cbrt (cbrt PI)) (cbrt (cbrt PI))) (* (cbrt (cbrt PI)) (cbrt (cbrt PI)))) (* (cbrt (cbrt PI)) (cbrt (cbrt PI))) (* (sqrt (cbrt PI)) (sqrt (cbrt PI))) (* (sqrt (cbrt PI)) (sqrt (cbrt PI))) (* 1 1) (* (cbrt PI) (cbrt PI)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (* (cbrt (sqrt PI)) (sqrt (cbrt PI))) (* (cbrt (sqrt PI)) (sqrt (cbrt PI))) (* (sqrt (cbrt PI)) (cbrt (sqrt PI))) (* (sqrt (cbrt PI)) (cbrt (sqrt PI))) (* (sqrt (cbrt PI)) (sqrt (cbrt PI))) (* (sqrt (cbrt PI)) (sqrt (cbrt PI))) (* 2 1/3) (* 2 1) (* (cbrt PI) (cbrt (* (cbrt PI) (cbrt PI)))) (* (cbrt PI) (cbrt (sqrt PI))) (* (cbrt PI) (cbrt 1)) (* (cbrt PI) (* (cbrt (cbrt PI)) (cbrt (cbrt PI)))) (* (cbrt PI) (sqrt (cbrt PI))) (* (cbrt PI) 1) (* (cbrt (cbrt PI)) (cbrt PI)) (* (cbrt (sqrt PI)) (cbrt PI)) (* (cbrt PI) (cbrt PI)) (* (cbrt (cbrt PI)) (cbrt PI)) (* (sqrt (cbrt PI)) (cbrt PI)) (* (cbrt PI) (cbrt PI)) (expm1 (cbrt PI)) (log1p (cbrt PI)) (log (cbrt PI)) (exp (cbrt PI)) (cbrt (* (cbrt PI) (cbrt PI))) (cbrt (cbrt PI)) (cbrt (sqrt PI)) (cbrt (sqrt PI)) (cbrt 1) (cbrt PI) (* (cbrt (cbrt PI)) (cbrt (cbrt PI))) (cbrt (cbrt PI)) (* (* (cbrt PI) (cbrt PI)) (cbrt PI)) (sqrt (cbrt PI)) (sqrt (cbrt PI)) (- (+ (* 1/120 (* (pow PI 5) (pow l 5))) (* PI l)) (* 1/6 (* (pow PI 3) (pow l 3)))) (sin (* PI l)) (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)) (* (cbrt PI) l) (* (cbrt PI) l) 2.280 * * [simplify]: iteration 0 : 187 enodes (cost 382 ) 2.284 * * [simplify]: iteration 1 : 694 enodes (cost 343 ) 2.301 * * [simplify]: iteration 2 : 3475 enodes (cost 326 ) 2.403 * * [simplify]: iteration 3 : 5002 enodes (cost 318 ) 2.405 * [simplify]: Simplified to: (expm1 (sin (* PI l))) (log1p (sin (* 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))) (expm1 (cos (* (* (cbrt PI) (cbrt PI)) (* (cbrt PI) l)))) (log1p (cos (* (* (cbrt PI) (cbrt PI)) (* (cbrt PI) l)))) (log (cos (* (* (cbrt PI) (cbrt PI)) (* (cbrt PI) l)))) (exp (cos (* (* (cbrt PI) (cbrt PI)) (* (cbrt PI) l)))) (* (cbrt (cos (* (* (cbrt PI) (cbrt PI)) (* (cbrt PI) l)))) (cbrt (cos (* (* (cbrt PI) (cbrt PI)) (* (cbrt PI) l))))) (cbrt (cos (* (* (cbrt PI) (cbrt PI)) (* (cbrt PI) l)))) (pow (cos (* PI l)) 3) (sqrt (cos (* (* (cbrt PI) (cbrt PI)) (* (cbrt PI) l)))) (sqrt (cos (* (* (cbrt PI) (cbrt PI)) (* (cbrt PI) l)))) (expm1 (* (cbrt PI) (cbrt PI))) (log1p (* (cbrt PI) (cbrt PI))) 2/3 2 (pow PI 2) (* (cbrt PI) (cbrt PI)) 2 (* 2 (log (cbrt PI))) (* 2 (log (cbrt PI))) (exp (* (cbrt PI) (cbrt PI))) (pow PI 2) (* (cbrt (* (cbrt PI) (cbrt PI))) (cbrt (* (cbrt PI) (cbrt PI)))) (cbrt (* (cbrt PI) (cbrt PI))) (pow PI 2) (fabs (cbrt PI)) (fabs (cbrt PI)) (* (cbrt (* (cbrt PI) (cbrt PI))) (cbrt (* (cbrt PI) (cbrt PI)))) (* (cbrt (cbrt PI)) (cbrt (cbrt PI))) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) 1 (* (cbrt PI) (cbrt PI)) (pow (cbrt (cbrt PI)) 4) (* (cbrt (cbrt PI)) (cbrt (cbrt PI))) (cbrt PI) (cbrt PI) 1 (* (cbrt PI) (cbrt PI)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (* (cbrt (sqrt PI)) (sqrt (cbrt PI))) (* (cbrt (sqrt PI)) (sqrt (cbrt PI))) (* (cbrt (sqrt PI)) (sqrt (cbrt PI))) (* (cbrt (sqrt PI)) (sqrt (cbrt PI))) (cbrt PI) (cbrt PI) 2/3 2 (* (cbrt PI) (cbrt (* (cbrt PI) (cbrt PI)))) (* (cbrt PI) (cbrt (sqrt PI))) (cbrt PI) (pow (cbrt (cbrt PI)) 5) (pow (sqrt (cbrt PI)) 3) (cbrt PI) (pow (cbrt (cbrt PI)) 4) (* (cbrt PI) (cbrt (sqrt PI))) (* (cbrt PI) (cbrt PI)) (pow (cbrt (cbrt PI)) 4) (pow (sqrt (cbrt PI)) 3) (* (cbrt PI) (cbrt PI)) (expm1 (cbrt PI)) (log1p (cbrt PI)) (log (cbrt PI)) (exp (cbrt PI)) (cbrt (* (cbrt PI) (cbrt PI))) (cbrt (cbrt PI)) (cbrt (sqrt PI)) (cbrt (sqrt PI)) 1 (cbrt PI) (* (cbrt (cbrt PI)) (cbrt (cbrt PI))) (cbrt (cbrt PI)) PI (sqrt (cbrt PI)) (sqrt (cbrt PI)) (fma (* 1/120 (pow PI 5)) (pow l 5) (- (* PI l) (* 1/6 (* (pow PI 3) (pow l 3))))) (sin (* PI l)) (sin (* PI l)) (fma (* 1/24 (pow PI 4)) (pow l 4) (- 1 (* 1/2 (* (pow PI 2) (pow l 2))))) (cos (* PI l)) (cos (* PI l)) (* (cbrt PI) l) (* (cbrt PI) l) 2.405 * * * [progress]: adding candidates to table 2.657 * [progress]: [Phase 3 of 3] Extracting. 2.658 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # # # # # # #) 2.665 * * * [regime-changes]: Trying 5 branch expressions: ((* F F) (/ 1.0 (* F F)) (* PI l) l F) 2.665 * * * * [regimes]: Trying to branch on (* F F) from (# # # # # # # # # # # # # # # # # # # #) 2.742 * * * * [regimes]: Trying to branch on (* F F) from (# # #) 2.757 * * * * [regimes]: Trying to branch on (/ 1.0 (* F F)) from (# # # # # # # # # # # # # # # # # # # #) 2.830 * * * * [regimes]: Trying to branch on (/ 1.0 (* F F)) from (# # #) 2.845 * * * * [regimes]: Trying to branch on (* PI l) from (# # # # # # # # # # # # # # # # # # # #) 2.935 * * * * [regimes]: Trying to branch on (* PI l) from (# # # # # # # # # # # #) 2.977 * * * * [regimes]: Trying to branch on l from (# # # # # # # # # # # # # # # # # # # #) 3.067 * * * * [regimes]: Trying to branch on F from (# # # # # # # # # # # # # # # # # # # #) 3.167 * * * [regime]: Found split indices: #