0.938 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.427 * * * [progress]: [2/2] Setting up program. 0.431 * [progress]: [Phase 2 of 3] Improving. 0.433 * [simplify]: Simplifying using # : (- (* PI l) (* (/ 1.0 (* F F)) (tan (* PI l)))) 0.436 * * [simplify]: iteration 0 : 19 enodes (cost 7 ) 0.438 * * [simplify]: iteration 1 : 41 enodes (cost 7 ) 0.440 * * [simplify]: iteration 2 : 82 enodes (cost 7 ) 0.442 * * [simplify]: iteration 3 : 122 enodes (cost 7 ) 0.444 * * [simplify]: iteration 4 : 147 enodes (cost 7 ) 0.446 * * [simplify]: iteration 5 : 157 enodes (cost 7 ) 0.448 * * [simplify]: iteration 6 : 159 enodes (cost 7 ) 0.451 * * [simplify]: iteration 7 : 159 enodes (cost 7 ) 0.451 * [simplify]: Simplified to: (- (* PI l) (* (/ 1.0 (* F F)) (tan (* PI l)))) 0.453 * * [progress]: iteration 1 / 4 0.453 * * * [progress]: picking best candidate 0.455 * * * * [pick]: Picked # 0.456 * * * [progress]: localizing error 0.469 * * * [progress]: generating rewritten candidates 0.469 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 0.472 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 0.487 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.491 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 0.512 * * * [progress]: generating series expansions 0.513 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 0.517 * [approximate]: Taking taylor expansion of (tan (* PI l)) in (l) around 0 0.518 * [taylor]: Taking taylor expansion of (tan (* PI l)) in l 0.519 * [taylor]: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) 0.519 * [taylor]: Taking taylor expansion of (sin (* PI l)) in l 0.519 * [taylor]: Taking taylor expansion of (* PI l) in l 0.519 * [taylor]: Taking taylor expansion of PI in l 0.519 * [taylor]: Taking taylor expansion of l in l 0.522 * [taylor]: Taking taylor expansion of (cos (* PI l)) in l 0.522 * [taylor]: Taking taylor expansion of (* PI l) in l 0.522 * [taylor]: Taking taylor expansion of PI in l 0.522 * [taylor]: Taking taylor expansion of l in l 0.526 * [taylor]: Taking taylor expansion of (tan (* PI l)) in l 0.526 * [taylor]: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) 0.526 * [taylor]: Taking taylor expansion of (sin (* PI l)) in l 0.526 * [taylor]: Taking taylor expansion of (* PI l) in l 0.526 * [taylor]: Taking taylor expansion of PI in l 0.526 * [taylor]: Taking taylor expansion of l in l 0.527 * [taylor]: Taking taylor expansion of (cos (* PI l)) in l 0.527 * [taylor]: Taking taylor expansion of (* PI l) in l 0.527 * [taylor]: Taking taylor expansion of PI in l 0.527 * [taylor]: Taking taylor expansion of l in l 0.575 * [approximate]: Taking taylor expansion of (tan (/ PI l)) in (l) around 0 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 0.575 * [taylor]: Taking taylor expansion of (cos (/ 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 (tan (/ PI l)) in l 0.576 * [taylor]: Rewrote expression to (/ (sin (/ PI l)) (cos (/ PI l))) 0.576 * [taylor]: Taking taylor expansion of (sin (/ 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 0.576 * [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 * [approximate]: Taking taylor expansion of (tan (* -1 (/ PI l))) in (l) around 0 0.579 * [taylor]: Taking taylor expansion of (tan (* -1 (/ PI l))) in l 0.579 * [taylor]: Rewrote expression to (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 0.579 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in l 0.579 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 0.579 * [taylor]: Taking taylor expansion of -1 in l 0.579 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.579 * [taylor]: Taking taylor expansion of PI in l 0.579 * [taylor]: Taking taylor expansion of l in l 0.580 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in l 0.580 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 0.580 * [taylor]: Taking taylor expansion of -1 in l 0.580 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.580 * [taylor]: Taking taylor expansion of PI in l 0.580 * [taylor]: Taking taylor expansion of l in l 0.581 * [taylor]: Taking taylor expansion of (tan (* -1 (/ PI l))) in l 0.581 * [taylor]: Rewrote expression to (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 0.581 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in l 0.581 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 0.581 * [taylor]: Taking taylor expansion of -1 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 0.582 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in l 0.582 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 0.582 * [taylor]: Taking taylor expansion of -1 in l 0.582 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.582 * [taylor]: Taking taylor expansion of PI in l 0.582 * [taylor]: Taking taylor expansion of l in l 0.585 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 0.585 * [approximate]: Taking taylor expansion of (* 1.0 (/ (tan (* PI l)) (pow F 2))) in (F l) around 0 0.585 * [taylor]: Taking taylor expansion of (* 1.0 (/ (tan (* PI l)) (pow F 2))) in l 0.585 * [taylor]: Taking taylor expansion of 1.0 in l 0.585 * [taylor]: Taking taylor expansion of (/ (tan (* PI l)) (pow F 2)) in l 0.585 * [taylor]: Taking taylor expansion of (tan (* PI l)) in l 0.585 * [taylor]: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) 0.585 * [taylor]: Taking taylor expansion of (sin (* 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 0.586 * [taylor]: Taking taylor expansion of (cos (* PI l)) in l 0.586 * [taylor]: Taking taylor expansion of (* PI l) in l 0.586 * [taylor]: Taking taylor expansion of PI in l 0.586 * [taylor]: Taking taylor expansion of l in l 0.589 * [taylor]: Taking taylor expansion of (pow F 2) in l 0.590 * [taylor]: Taking taylor expansion of F in l 0.590 * [taylor]: Taking taylor expansion of (* 1.0 (/ (tan (* PI l)) (pow F 2))) in F 0.590 * [taylor]: Taking taylor expansion of 1.0 in F 0.590 * [taylor]: Taking taylor expansion of (/ (tan (* PI l)) (pow F 2)) in F 0.590 * [taylor]: Taking taylor expansion of (tan (* PI l)) in F 0.590 * [taylor]: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) 0.590 * [taylor]: Taking taylor expansion of (sin (* PI l)) in F 0.590 * [taylor]: Taking taylor expansion of (* PI l) in F 0.590 * [taylor]: Taking taylor expansion of PI in F 0.590 * [taylor]: Taking taylor expansion of l in F 0.590 * [taylor]: Taking taylor expansion of (cos (* PI l)) in F 0.590 * [taylor]: Taking taylor expansion of (* PI l) in F 0.591 * [taylor]: Taking taylor expansion of PI in F 0.591 * [taylor]: Taking taylor expansion of l in F 0.592 * [taylor]: Taking taylor expansion of (pow F 2) in F 0.592 * [taylor]: Taking taylor expansion of F in F 0.593 * [taylor]: Taking taylor expansion of (* 1.0 (/ (tan (* PI l)) (pow F 2))) in F 0.593 * [taylor]: Taking taylor expansion of 1.0 in F 0.593 * [taylor]: Taking taylor expansion of (/ (tan (* PI l)) (pow F 2)) in F 0.593 * [taylor]: Taking taylor expansion of (tan (* PI l)) in F 0.593 * [taylor]: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) 0.593 * [taylor]: Taking taylor expansion of (sin (* PI l)) in F 0.593 * [taylor]: Taking taylor expansion of (* PI l) in F 0.593 * [taylor]: Taking taylor expansion of PI in F 0.593 * [taylor]: Taking taylor expansion of l in F 0.593 * [taylor]: Taking taylor expansion of (cos (* PI l)) in F 0.593 * [taylor]: Taking taylor expansion of (* PI l) in F 0.593 * [taylor]: Taking taylor expansion of PI in F 0.593 * [taylor]: Taking taylor expansion of l in F 0.593 * [taylor]: Taking taylor expansion of (pow F 2) in F 0.594 * [taylor]: Taking taylor expansion of F in F 0.594 * [taylor]: Taking taylor expansion of (* 1.0 (/ (sin (* PI l)) (cos (* PI l)))) in l 0.594 * [taylor]: Taking taylor expansion of 1.0 in l 0.594 * [taylor]: Taking taylor expansion of (/ (sin (* PI l)) (cos (* PI l))) in l 0.594 * [taylor]: Taking taylor expansion of (sin (* PI l)) in l 0.594 * [taylor]: Taking taylor expansion of (* PI l) in l 0.594 * [taylor]: Taking taylor expansion of PI in l 0.594 * [taylor]: Taking taylor expansion of l in l 0.595 * [taylor]: Taking taylor expansion of (cos (* PI l)) in l 0.595 * [taylor]: Taking taylor expansion of (* PI l) in l 0.595 * [taylor]: Taking taylor expansion of PI in l 0.595 * [taylor]: Taking taylor expansion of l in l 0.610 * [taylor]: Taking taylor expansion of 0 in l 0.619 * [taylor]: Taking taylor expansion of 0 in l 0.643 * [taylor]: Taking taylor expansion of 0 in l 0.660 * [taylor]: Taking taylor expansion of 0 in l 0.662 * [approximate]: Taking taylor expansion of (* 1.0 (* (tan (/ PI l)) (pow F 2))) in (F l) around 0 0.662 * [taylor]: Taking taylor expansion of (* 1.0 (* (tan (/ PI l)) (pow F 2))) in l 0.662 * [taylor]: Taking taylor expansion of 1.0 in l 0.662 * [taylor]: Taking taylor expansion of (* (tan (/ PI l)) (pow F 2)) in l 0.662 * [taylor]: Taking taylor expansion of (tan (/ PI l)) in l 0.662 * [taylor]: Rewrote expression to (/ (sin (/ PI l)) (cos (/ PI l))) 0.662 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in l 0.662 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.662 * [taylor]: Taking taylor expansion of PI in l 0.662 * [taylor]: Taking taylor expansion of l in l 0.663 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in l 0.663 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.663 * [taylor]: Taking taylor expansion of PI in l 0.663 * [taylor]: Taking taylor expansion of l in l 0.663 * [taylor]: Taking taylor expansion of (pow F 2) in l 0.663 * [taylor]: Taking taylor expansion of F in l 0.663 * [taylor]: Taking taylor expansion of (* 1.0 (* (tan (/ PI l)) (pow F 2))) in F 0.663 * [taylor]: Taking taylor expansion of 1.0 in F 0.663 * [taylor]: Taking taylor expansion of (* (tan (/ PI l)) (pow F 2)) in F 0.663 * [taylor]: Taking taylor expansion of (tan (/ PI l)) in F 0.663 * [taylor]: Rewrote expression to (/ (sin (/ PI l)) (cos (/ PI l))) 0.664 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in F 0.664 * [taylor]: Taking taylor expansion of (/ PI l) in F 0.664 * [taylor]: Taking taylor expansion of PI in F 0.664 * [taylor]: Taking taylor expansion of l in F 0.664 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in F 0.664 * [taylor]: Taking taylor expansion of (/ PI l) in F 0.664 * [taylor]: Taking taylor expansion of PI in F 0.664 * [taylor]: Taking taylor expansion of l in F 0.664 * [taylor]: Taking taylor expansion of (pow F 2) in F 0.664 * [taylor]: Taking taylor expansion of F in F 0.664 * [taylor]: Taking taylor expansion of (* 1.0 (* (tan (/ PI l)) (pow F 2))) in F 0.664 * [taylor]: Taking taylor expansion of 1.0 in F 0.664 * [taylor]: Taking taylor expansion of (* (tan (/ PI l)) (pow F 2)) in F 0.664 * [taylor]: Taking taylor expansion of (tan (/ PI l)) in F 0.665 * [taylor]: Rewrote expression to (/ (sin (/ PI l)) (cos (/ PI l))) 0.665 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in F 0.665 * [taylor]: Taking taylor expansion of (/ PI l) in F 0.665 * [taylor]: Taking taylor expansion of PI in F 0.665 * [taylor]: Taking taylor expansion of l in F 0.665 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in F 0.665 * [taylor]: Taking taylor expansion of (/ PI l) in F 0.665 * [taylor]: Taking taylor expansion of PI in F 0.665 * [taylor]: Taking taylor expansion of l in F 0.665 * [taylor]: Taking taylor expansion of (pow F 2) in F 0.665 * [taylor]: Taking taylor expansion of F in F 0.666 * [taylor]: Taking taylor expansion of (* 1.0 (/ (sin (/ PI l)) (cos (/ PI l)))) in l 0.666 * [taylor]: Taking taylor expansion of 1.0 in l 0.666 * [taylor]: Taking taylor expansion of (/ (sin (/ PI l)) (cos (/ PI l))) in l 0.666 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in l 0.666 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.666 * [taylor]: Taking taylor expansion of PI in l 0.666 * [taylor]: Taking taylor expansion of l in l 0.666 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in l 0.666 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.666 * [taylor]: Taking taylor expansion of PI in l 0.666 * [taylor]: Taking taylor expansion of l in l 0.672 * [taylor]: Taking taylor expansion of 0 in l 0.678 * [taylor]: Taking taylor expansion of 0 in l 0.690 * [taylor]: Taking taylor expansion of 0 in l 0.690 * [approximate]: Taking taylor expansion of (* 1.0 (* (tan (* -1 (/ PI l))) (pow F 2))) in (F l) around 0 0.690 * [taylor]: Taking taylor expansion of (* 1.0 (* (tan (* -1 (/ PI l))) (pow F 2))) in l 0.690 * [taylor]: Taking taylor expansion of 1.0 in l 0.690 * [taylor]: Taking taylor expansion of (* (tan (* -1 (/ PI l))) (pow F 2)) in l 0.690 * [taylor]: Taking taylor expansion of (tan (* -1 (/ PI l))) in l 0.690 * [taylor]: Rewrote expression to (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 0.690 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in l 0.690 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 0.690 * [taylor]: Taking taylor expansion of -1 in l 0.690 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.690 * [taylor]: Taking taylor expansion of PI in l 0.690 * [taylor]: Taking taylor expansion of l in l 0.691 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in l 0.691 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 0.691 * [taylor]: Taking taylor expansion of -1 in l 0.691 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.691 * [taylor]: Taking taylor expansion of PI in l 0.691 * [taylor]: Taking taylor expansion of l in l 0.692 * [taylor]: Taking taylor expansion of (pow F 2) in l 0.692 * [taylor]: Taking taylor expansion of F in l 0.692 * [taylor]: Taking taylor expansion of (* 1.0 (* (tan (* -1 (/ PI l))) (pow F 2))) in F 0.692 * [taylor]: Taking taylor expansion of 1.0 in F 0.692 * [taylor]: Taking taylor expansion of (* (tan (* -1 (/ PI l))) (pow F 2)) in F 0.692 * [taylor]: Taking taylor expansion of (tan (* -1 (/ PI l))) in F 0.692 * [taylor]: Rewrote expression to (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 0.692 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in F 0.692 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in F 0.692 * [taylor]: Taking taylor expansion of -1 in F 0.692 * [taylor]: Taking taylor expansion of (/ PI l) in F 0.692 * [taylor]: Taking taylor expansion of PI in F 0.692 * [taylor]: Taking taylor expansion of l in F 0.692 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in F 0.692 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in F 0.692 * [taylor]: Taking taylor expansion of -1 in F 0.692 * [taylor]: Taking taylor expansion of (/ PI l) in F 0.692 * [taylor]: Taking taylor expansion of PI in F 0.692 * [taylor]: Taking taylor expansion of l in F 0.693 * [taylor]: Taking taylor expansion of (pow F 2) in F 0.693 * [taylor]: Taking taylor expansion of F in F 0.693 * [taylor]: Taking taylor expansion of (* 1.0 (* (tan (* -1 (/ PI l))) (pow F 2))) in F 0.693 * [taylor]: Taking taylor expansion of 1.0 in F 0.693 * [taylor]: Taking taylor expansion of (* (tan (* -1 (/ PI l))) (pow F 2)) in F 0.693 * [taylor]: Taking taylor expansion of (tan (* -1 (/ PI l))) in F 0.693 * [taylor]: Rewrote expression to (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 0.693 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in F 0.693 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in F 0.693 * [taylor]: Taking taylor expansion of -1 in F 0.693 * [taylor]: Taking taylor expansion of (/ PI l) in F 0.693 * [taylor]: Taking taylor expansion of PI in F 0.693 * [taylor]: Taking taylor expansion of l in F 0.694 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in F 0.694 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in F 0.694 * [taylor]: Taking taylor expansion of -1 in F 0.694 * [taylor]: Taking taylor expansion of (/ PI l) in F 0.694 * [taylor]: Taking taylor expansion of PI in F 0.694 * [taylor]: Taking taylor expansion of l in F 0.694 * [taylor]: Taking taylor expansion of (pow F 2) in F 0.694 * [taylor]: Taking taylor expansion of F in F 0.695 * [taylor]: Taking taylor expansion of (* 1.0 (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l))))) in l 0.695 * [taylor]: Taking taylor expansion of 1.0 in l 0.695 * [taylor]: Taking taylor expansion of (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) in l 0.695 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in l 0.695 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 0.695 * [taylor]: Taking taylor expansion of -1 in l 0.695 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.695 * [taylor]: Taking taylor expansion of PI in l 0.695 * [taylor]: Taking taylor expansion of l in l 0.696 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in l 0.696 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 0.696 * [taylor]: Taking taylor expansion of -1 in l 0.696 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.696 * [taylor]: Taking taylor expansion of PI in l 0.696 * [taylor]: Taking taylor expansion of l in l 0.703 * [taylor]: Taking taylor expansion of 0 in l 0.710 * [taylor]: Taking taylor expansion of 0 in l 0.721 * [taylor]: Taking taylor expansion of 0 in l 0.721 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 0.721 * [approximate]: Taking taylor expansion of (/ 1.0 (pow F 2)) in (F) around 0 0.721 * [taylor]: Taking taylor expansion of (/ 1.0 (pow F 2)) in F 0.721 * [taylor]: Taking taylor expansion of 1.0 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 (pow F 2)) in F 0.722 * [taylor]: Taking taylor expansion of 1.0 in F 0.722 * [taylor]: Taking taylor expansion of (pow F 2) in F 0.722 * [taylor]: Taking taylor expansion of F in F 0.729 * [approximate]: Taking taylor expansion of (* 1.0 (pow F 2)) in (F) around 0 0.729 * [taylor]: Taking taylor expansion of (* 1.0 (pow F 2)) in F 0.729 * [taylor]: Taking taylor expansion of 1.0 in F 0.729 * [taylor]: Taking taylor expansion of (pow F 2) in F 0.729 * [taylor]: Taking taylor expansion of F in F 0.729 * [taylor]: Taking taylor expansion of (* 1.0 (pow F 2)) in F 0.729 * [taylor]: Taking taylor expansion of 1.0 in F 0.729 * [taylor]: Taking taylor expansion of (pow F 2) in F 0.729 * [taylor]: Taking taylor expansion of F in F 0.737 * [approximate]: Taking taylor expansion of (* 1.0 (pow F 2)) in (F) around 0 0.737 * [taylor]: Taking taylor expansion of (* 1.0 (pow F 2)) in F 0.737 * [taylor]: Taking taylor expansion of 1.0 in F 0.737 * [taylor]: Taking taylor expansion of (pow F 2) in F 0.737 * [taylor]: Taking taylor expansion of F in F 0.737 * [taylor]: Taking taylor expansion of (* 1.0 (pow F 2)) in F 0.737 * [taylor]: Taking taylor expansion of 1.0 in F 0.738 * [taylor]: Taking taylor expansion of (pow F 2) in F 0.738 * [taylor]: Taking taylor expansion of F in F 0.745 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 0.745 * [approximate]: Taking taylor expansion of (* PI l) in (l) around 0 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 (* PI l) in l 0.745 * [taylor]: Taking taylor expansion of PI in l 0.746 * [taylor]: Taking taylor expansion of l in l 0.751 * [approximate]: Taking taylor expansion of (/ PI l) in (l) around 0 0.751 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.751 * [taylor]: Taking taylor expansion of PI in l 0.751 * [taylor]: Taking taylor expansion of l in l 0.752 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.752 * [taylor]: Taking taylor expansion of PI in l 0.752 * [taylor]: Taking taylor expansion of l in l 0.756 * [approximate]: Taking taylor expansion of (* -1 (/ PI l)) in (l) around 0 0.756 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 0.756 * [taylor]: Taking taylor expansion of -1 in l 0.756 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.756 * [taylor]: Taking taylor expansion of PI in l 0.756 * [taylor]: Taking taylor expansion of l in l 0.756 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 0.756 * [taylor]: Taking taylor expansion of -1 in l 0.756 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.756 * [taylor]: Taking taylor expansion of PI in l 0.756 * [taylor]: Taking taylor expansion of l in l 0.765 * * * [progress]: simplifying candidates 0.767 * [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) 0.775 * * [simplify]: iteration 0 : 334 enodes (cost 468 ) 0.781 * * [simplify]: iteration 1 : 1442 enodes (cost 399 ) 0.809 * * [simplify]: iteration 2 : 5001 enodes (cost 398 ) 0.812 * [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) 0.813 * * * [progress]: adding candidates to table 1.034 * * [progress]: iteration 2 / 4 1.034 * * * [progress]: picking best candidate 1.060 * * * * [pick]: Picked # 1.060 * * * [progress]: localizing error 1.071 * * * [progress]: generating rewritten candidates 1.071 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 1.073 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 1.084 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 2 1) 1.087 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.092 * * * [progress]: generating series expansions 1.092 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 1.092 * [approximate]: Taking taylor expansion of (tan (* PI l)) in (l) around 0 1.092 * [taylor]: Taking taylor expansion of (tan (* PI l)) in l 1.092 * [taylor]: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) 1.092 * [taylor]: Taking taylor expansion of (sin (* PI l)) in l 1.092 * [taylor]: Taking taylor expansion of (* PI l) in l 1.092 * [taylor]: Taking taylor expansion of PI in l 1.092 * [taylor]: Taking taylor expansion of l in l 1.094 * [taylor]: Taking taylor expansion of (cos (* PI l)) in l 1.094 * [taylor]: Taking taylor expansion of (* PI l) in l 1.094 * [taylor]: Taking taylor expansion of PI in l 1.094 * [taylor]: Taking taylor expansion of l in l 1.100 * [taylor]: Taking taylor expansion of (tan (* PI l)) in l 1.101 * [taylor]: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) 1.101 * [taylor]: Taking taylor expansion of (sin (* PI l)) in l 1.101 * [taylor]: Taking taylor expansion of (* PI l) in l 1.101 * [taylor]: Taking taylor expansion of PI in l 1.101 * [taylor]: Taking taylor expansion of l in l 1.102 * [taylor]: Taking taylor expansion of (cos (* PI l)) in l 1.102 * [taylor]: Taking taylor expansion of (* PI l) in l 1.102 * [taylor]: Taking taylor expansion of PI in l 1.102 * [taylor]: Taking taylor expansion of l in l 1.148 * [approximate]: Taking taylor expansion of (tan (/ PI l)) in (l) around 0 1.148 * [taylor]: Taking taylor expansion of (tan (/ PI l)) in l 1.148 * [taylor]: Rewrote expression to (/ (sin (/ PI l)) (cos (/ PI l))) 1.148 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in l 1.148 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.148 * [taylor]: Taking taylor expansion of PI in l 1.148 * [taylor]: Taking taylor expansion of l in l 1.148 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in l 1.148 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.148 * [taylor]: Taking taylor expansion of PI in l 1.148 * [taylor]: Taking taylor expansion of l in l 1.149 * [taylor]: Taking taylor expansion of (tan (/ PI l)) in l 1.149 * [taylor]: Rewrote expression to (/ (sin (/ PI l)) (cos (/ PI l))) 1.149 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in l 1.149 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.149 * [taylor]: Taking taylor expansion of PI in l 1.149 * [taylor]: Taking taylor expansion of l in l 1.149 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in l 1.149 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.149 * [taylor]: Taking taylor expansion of PI in l 1.149 * [taylor]: Taking taylor expansion of l in l 1.152 * [approximate]: Taking taylor expansion of (tan (* -1 (/ PI l))) in (l) around 0 1.152 * [taylor]: Taking taylor expansion of (tan (* -1 (/ PI l))) in l 1.152 * [taylor]: Rewrote expression to (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 1.152 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in l 1.152 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.152 * [taylor]: Taking taylor expansion of -1 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 1.153 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in l 1.153 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.153 * [taylor]: Taking taylor expansion of -1 in l 1.153 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.153 * [taylor]: Taking taylor expansion of PI in l 1.153 * [taylor]: Taking taylor expansion of l in l 1.154 * [taylor]: Taking taylor expansion of (tan (* -1 (/ PI l))) in l 1.154 * [taylor]: Rewrote expression to (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 1.154 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in l 1.154 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.154 * [taylor]: Taking taylor expansion of -1 in l 1.154 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.154 * [taylor]: Taking taylor expansion of PI in l 1.154 * [taylor]: Taking taylor expansion of l in l 1.154 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in l 1.154 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.154 * [taylor]: Taking taylor expansion of -1 in l 1.154 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.154 * [taylor]: Taking taylor expansion of PI in l 1.154 * [taylor]: Taking taylor expansion of l in l 1.158 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 1.158 * [approximate]: Taking taylor expansion of (* 1.0 (/ (tan (* PI l)) F)) in (F l) around 0 1.158 * [taylor]: Taking taylor expansion of (* 1.0 (/ (tan (* PI l)) F)) in l 1.158 * [taylor]: Taking taylor expansion of 1.0 in l 1.158 * [taylor]: Taking taylor expansion of (/ (tan (* PI l)) F) in l 1.158 * [taylor]: Taking taylor expansion of (tan (* PI l)) in l 1.158 * [taylor]: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) 1.158 * [taylor]: Taking taylor expansion of (sin (* PI l)) in l 1.158 * [taylor]: Taking taylor expansion of (* PI l) in l 1.158 * [taylor]: Taking taylor expansion of PI in l 1.158 * [taylor]: Taking taylor expansion of l in l 1.159 * [taylor]: Taking taylor expansion of (cos (* PI l)) in l 1.159 * [taylor]: Taking taylor expansion of (* PI l) in l 1.159 * [taylor]: Taking taylor expansion of PI in l 1.159 * [taylor]: Taking taylor expansion of l in l 1.162 * [taylor]: Taking taylor expansion of F in l 1.163 * [taylor]: Taking taylor expansion of (* 1.0 (/ (tan (* PI l)) F)) in F 1.163 * [taylor]: Taking taylor expansion of 1.0 in F 1.163 * [taylor]: Taking taylor expansion of (/ (tan (* PI l)) F) in F 1.163 * [taylor]: Taking taylor expansion of (tan (* PI l)) in F 1.163 * [taylor]: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) 1.163 * [taylor]: Taking taylor expansion of (sin (* PI l)) in F 1.163 * [taylor]: Taking taylor expansion of (* PI l) in F 1.163 * [taylor]: Taking taylor expansion of PI in F 1.163 * [taylor]: Taking taylor expansion of l in F 1.163 * [taylor]: Taking taylor expansion of (cos (* PI l)) in F 1.163 * [taylor]: Taking taylor expansion of (* PI l) in F 1.163 * [taylor]: Taking taylor expansion of PI in F 1.163 * [taylor]: Taking taylor expansion of l in F 1.163 * [taylor]: Taking taylor expansion of F in F 1.164 * [taylor]: Taking taylor expansion of (* 1.0 (/ (tan (* PI l)) F)) in F 1.164 * [taylor]: Taking taylor expansion of 1.0 in F 1.164 * [taylor]: Taking taylor expansion of (/ (tan (* PI l)) F) in F 1.164 * [taylor]: Taking taylor expansion of (tan (* PI l)) in F 1.164 * [taylor]: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) 1.164 * [taylor]: Taking taylor expansion of (sin (* PI l)) in F 1.164 * [taylor]: Taking taylor expansion of (* PI l) in F 1.164 * [taylor]: Taking taylor expansion of PI in F 1.164 * [taylor]: Taking taylor expansion of l in F 1.164 * [taylor]: Taking taylor expansion of (cos (* PI l)) in F 1.164 * [taylor]: Taking taylor expansion of (* PI l) in F 1.164 * [taylor]: Taking taylor expansion of PI in F 1.164 * [taylor]: Taking taylor expansion of l in F 1.165 * [taylor]: Taking taylor expansion of F in F 1.165 * [taylor]: Taking taylor expansion of (* 1.0 (/ (sin (* PI l)) (cos (* PI l)))) in l 1.165 * [taylor]: Taking taylor expansion of 1.0 in l 1.165 * [taylor]: Taking taylor expansion of (/ (sin (* PI l)) (cos (* PI l))) in l 1.165 * [taylor]: Taking taylor expansion of (sin (* PI l)) in l 1.165 * [taylor]: Taking taylor expansion of (* PI l) in l 1.165 * [taylor]: Taking taylor expansion of PI in l 1.165 * [taylor]: Taking taylor expansion of l in l 1.166 * [taylor]: Taking taylor expansion of (cos (* PI l)) in l 1.166 * [taylor]: Taking taylor expansion of (* PI l) in l 1.166 * [taylor]: Taking taylor expansion of PI in l 1.166 * [taylor]: Taking taylor expansion of l in l 1.175 * [taylor]: Taking taylor expansion of 0 in l 1.189 * [taylor]: Taking taylor expansion of 0 in l 1.213 * [taylor]: Taking taylor expansion of 0 in l 1.230 * [taylor]: Taking taylor expansion of 0 in l 1.231 * [approximate]: Taking taylor expansion of (* 1.0 (* (tan (/ PI l)) F)) in (F l) around 0 1.231 * [taylor]: Taking taylor expansion of (* 1.0 (* (tan (/ PI l)) F)) in l 1.231 * [taylor]: Taking taylor expansion of 1.0 in l 1.231 * [taylor]: Taking taylor expansion of (* (tan (/ PI l)) F) in l 1.231 * [taylor]: Taking taylor expansion of (tan (/ PI l)) in l 1.231 * [taylor]: Rewrote expression to (/ (sin (/ PI l)) (cos (/ PI l))) 1.231 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in l 1.231 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.231 * [taylor]: Taking taylor expansion of PI in l 1.231 * [taylor]: Taking taylor expansion of l in l 1.232 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in l 1.232 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.232 * [taylor]: Taking taylor expansion of PI in l 1.232 * [taylor]: Taking taylor expansion of l in l 1.232 * [taylor]: Taking taylor expansion of F in l 1.232 * [taylor]: Taking taylor expansion of (* 1.0 (* (tan (/ PI l)) F)) in F 1.232 * [taylor]: Taking taylor expansion of 1.0 in F 1.233 * [taylor]: Taking taylor expansion of (* (tan (/ PI l)) F) in F 1.233 * [taylor]: Taking taylor expansion of (tan (/ PI l)) in F 1.233 * [taylor]: Rewrote expression to (/ (sin (/ PI l)) (cos (/ PI l))) 1.233 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in F 1.233 * [taylor]: Taking taylor expansion of (/ PI l) in F 1.233 * [taylor]: Taking taylor expansion of PI in F 1.233 * [taylor]: Taking taylor expansion of l in F 1.233 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in F 1.233 * [taylor]: Taking taylor expansion of (/ PI l) in F 1.233 * [taylor]: Taking taylor expansion of PI in F 1.233 * [taylor]: Taking taylor expansion of l in F 1.234 * [taylor]: Taking taylor expansion of F in F 1.234 * [taylor]: Taking taylor expansion of (* 1.0 (* (tan (/ PI l)) F)) in F 1.234 * [taylor]: Taking taylor expansion of 1.0 in F 1.234 * [taylor]: Taking taylor expansion of (* (tan (/ PI l)) F) in F 1.234 * [taylor]: Taking taylor expansion of (tan (/ PI l)) in F 1.234 * [taylor]: Rewrote expression to (/ (sin (/ PI l)) (cos (/ PI l))) 1.234 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in F 1.234 * [taylor]: Taking taylor expansion of (/ PI l) in F 1.234 * [taylor]: Taking taylor expansion of PI in F 1.234 * [taylor]: Taking taylor expansion of l in F 1.234 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in F 1.234 * [taylor]: Taking taylor expansion of (/ PI l) in F 1.234 * [taylor]: Taking taylor expansion of PI in F 1.234 * [taylor]: Taking taylor expansion of l in F 1.235 * [taylor]: Taking taylor expansion of F in F 1.235 * [taylor]: Taking taylor expansion of 0 in l 1.239 * [taylor]: Taking taylor expansion of (* 1.0 (/ (sin (/ PI l)) (cos (/ PI l)))) in l 1.239 * [taylor]: Taking taylor expansion of 1.0 in l 1.239 * [taylor]: Taking taylor expansion of (/ (sin (/ PI l)) (cos (/ PI l))) in l 1.239 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in l 1.239 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.239 * [taylor]: Taking taylor expansion of PI in l 1.239 * [taylor]: Taking taylor expansion of l in l 1.240 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in l 1.240 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.240 * [taylor]: Taking taylor expansion of PI in l 1.240 * [taylor]: Taking taylor expansion of l in l 1.246 * [taylor]: Taking taylor expansion of 0 in l 1.253 * [taylor]: Taking taylor expansion of 0 in l 1.253 * [approximate]: Taking taylor expansion of (* -1.0 (* (tan (* -1 (/ PI l))) F)) in (F l) around 0 1.253 * [taylor]: Taking taylor expansion of (* -1.0 (* (tan (* -1 (/ PI l))) F)) in l 1.253 * [taylor]: Taking taylor expansion of -1.0 in l 1.253 * [taylor]: Taking taylor expansion of (* (tan (* -1 (/ PI l))) F) in l 1.253 * [taylor]: Taking taylor expansion of (tan (* -1 (/ PI l))) in l 1.254 * [taylor]: Rewrote expression to (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 1.254 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in l 1.254 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.254 * [taylor]: Taking taylor expansion of -1 in l 1.254 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.254 * [taylor]: Taking taylor expansion of PI in l 1.254 * [taylor]: Taking taylor expansion of l in l 1.254 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in l 1.254 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.254 * [taylor]: Taking taylor expansion of -1 in l 1.254 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.254 * [taylor]: Taking taylor expansion of PI in l 1.254 * [taylor]: Taking taylor expansion of l in l 1.255 * [taylor]: Taking taylor expansion of F in l 1.255 * [taylor]: Taking taylor expansion of (* -1.0 (* (tan (* -1 (/ PI l))) F)) in F 1.255 * [taylor]: Taking taylor expansion of -1.0 in F 1.255 * [taylor]: Taking taylor expansion of (* (tan (* -1 (/ PI l))) F) in F 1.255 * [taylor]: Taking taylor expansion of (tan (* -1 (/ PI l))) in F 1.255 * [taylor]: Rewrote expression to (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 1.255 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in F 1.255 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in F 1.255 * [taylor]: Taking taylor expansion of -1 in F 1.255 * [taylor]: Taking taylor expansion of (/ PI l) in F 1.255 * [taylor]: Taking taylor expansion of PI in F 1.255 * [taylor]: Taking taylor expansion of l in F 1.256 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in F 1.256 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in F 1.256 * [taylor]: Taking taylor expansion of -1 in F 1.256 * [taylor]: Taking taylor expansion of (/ PI l) in F 1.256 * [taylor]: Taking taylor expansion of PI in F 1.256 * [taylor]: Taking taylor expansion of l in F 1.256 * [taylor]: Taking taylor expansion of F in F 1.256 * [taylor]: Taking taylor expansion of (* -1.0 (* (tan (* -1 (/ PI l))) F)) in F 1.256 * [taylor]: Taking taylor expansion of -1.0 in F 1.256 * [taylor]: Taking taylor expansion of (* (tan (* -1 (/ PI l))) F) in F 1.257 * [taylor]: Taking taylor expansion of (tan (* -1 (/ PI l))) in F 1.257 * [taylor]: Rewrote expression to (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 1.257 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in F 1.257 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in F 1.257 * [taylor]: Taking taylor expansion of -1 in F 1.257 * [taylor]: Taking taylor expansion of (/ PI l) in F 1.257 * [taylor]: Taking taylor expansion of PI in F 1.257 * [taylor]: Taking taylor expansion of l in F 1.257 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in F 1.257 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in F 1.257 * [taylor]: Taking taylor expansion of -1 in F 1.257 * [taylor]: Taking taylor expansion of (/ PI l) in F 1.257 * [taylor]: Taking taylor expansion of PI in F 1.257 * [taylor]: Taking taylor expansion of l in F 1.258 * [taylor]: Taking taylor expansion of F in F 1.258 * [taylor]: Taking taylor expansion of 0 in l 1.263 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))))) in l 1.263 * [taylor]: Taking taylor expansion of (* 1.0 (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l))))) in l 1.263 * [taylor]: Taking taylor expansion of 1.0 in l 1.263 * [taylor]: Taking taylor expansion of (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) in l 1.263 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in l 1.263 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.263 * [taylor]: Taking taylor expansion of -1 in l 1.263 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.263 * [taylor]: Taking taylor expansion of PI in l 1.263 * [taylor]: Taking taylor expansion of l in l 1.264 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in l 1.264 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.264 * [taylor]: Taking taylor expansion of -1 in l 1.264 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.264 * [taylor]: Taking taylor expansion of PI in l 1.264 * [taylor]: Taking taylor expansion of l in l 1.277 * [taylor]: Taking taylor expansion of 0 in l 1.287 * [taylor]: Taking taylor expansion of 0 in l 1.287 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 2 1) 1.287 * [approximate]: Taking taylor expansion of (* PI l) in (l) around 0 1.287 * [taylor]: Taking taylor expansion of (* PI l) in l 1.287 * [taylor]: Taking taylor expansion of PI in l 1.287 * [taylor]: Taking taylor expansion of l in l 1.287 * [taylor]: Taking taylor expansion of (* PI l) in l 1.287 * [taylor]: Taking taylor expansion of PI in l 1.287 * [taylor]: Taking taylor expansion of l in l 1.293 * [approximate]: Taking taylor expansion of (/ PI l) in (l) around 0 1.293 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.293 * [taylor]: Taking taylor expansion of PI in l 1.293 * [taylor]: Taking taylor expansion of l in l 1.293 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.293 * [taylor]: Taking taylor expansion of PI in l 1.293 * [taylor]: Taking taylor expansion of l in l 1.297 * [approximate]: Taking taylor expansion of (* -1 (/ PI l)) in (l) around 0 1.297 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.297 * [taylor]: Taking taylor expansion of -1 in l 1.297 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.297 * [taylor]: Taking taylor expansion of PI in l 1.297 * [taylor]: Taking taylor expansion of l in l 1.297 * [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 1.306 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.306 * [approximate]: Taking taylor expansion of (* PI l) in (l) around 0 1.306 * [taylor]: Taking taylor expansion of (* PI l) in l 1.306 * [taylor]: Taking taylor expansion of PI in l 1.306 * [taylor]: Taking taylor expansion of l in l 1.306 * [taylor]: Taking taylor expansion of (* PI l) in l 1.306 * [taylor]: Taking taylor expansion of PI in l 1.306 * [taylor]: Taking taylor expansion of l in l 1.312 * [approximate]: Taking taylor expansion of (/ PI l) in (l) around 0 1.312 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.312 * [taylor]: Taking taylor expansion of PI in l 1.312 * [taylor]: Taking taylor expansion of l in l 1.312 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.312 * [taylor]: Taking taylor expansion of PI in l 1.312 * [taylor]: Taking taylor expansion of l in l 1.316 * [approximate]: Taking taylor expansion of (* -1 (/ PI l)) in (l) around 0 1.316 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.316 * [taylor]: Taking taylor expansion of -1 in l 1.316 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.316 * [taylor]: Taking taylor expansion of PI in l 1.316 * [taylor]: Taking taylor expansion of l in l 1.317 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.317 * [taylor]: Taking taylor expansion of -1 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 1.325 * * * [progress]: simplifying candidates 1.327 * [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) 1.331 * * [simplify]: iteration 0 : 286 enodes (cost 403 ) 1.336 * * [simplify]: iteration 1 : 1032 enodes (cost 363 ) 1.356 * * [simplify]: iteration 2 : 3928 enodes (cost 361 ) 1.414 * * [simplify]: iteration 3 : 5001 enodes (cost 360 ) 1.416 * [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) 1.416 * * * [progress]: adding candidates to table 1.665 * * [progress]: iteration 3 / 4 1.665 * * * [progress]: picking best candidate 1.710 * * * * [pick]: Picked # 1.710 * * * [progress]: localizing error 1.726 * * * [progress]: generating rewritten candidates 1.727 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 1.735 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 1 2 1) 1.736 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 2 1 1 2) 1.736 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 2 1 1 1) 1.741 * * * [progress]: generating series expansions 1.741 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 1.743 * [approximate]: Taking taylor expansion of (tan (* PI l)) in (l) around 0 1.743 * [taylor]: Taking taylor expansion of (tan (* PI l)) in l 1.743 * [taylor]: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) 1.743 * [taylor]: Taking taylor expansion of (sin (* PI l)) in l 1.743 * [taylor]: Taking taylor expansion of (* PI l) in l 1.743 * [taylor]: Taking taylor expansion of PI in l 1.743 * [taylor]: Taking taylor expansion of l in l 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 1.748 * [taylor]: Taking taylor expansion of (tan (* PI l)) in l 1.748 * [taylor]: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) 1.748 * [taylor]: Taking taylor expansion of (sin (* PI l)) in l 1.748 * [taylor]: Taking taylor expansion of (* PI l) in l 1.748 * [taylor]: Taking taylor expansion of PI in l 1.748 * [taylor]: Taking taylor expansion of l in l 1.750 * [taylor]: Taking taylor expansion of (cos (* PI l)) in l 1.750 * [taylor]: Taking taylor expansion of (* PI l) in l 1.750 * [taylor]: Taking taylor expansion of PI in l 1.750 * [taylor]: Taking taylor expansion of l in l 1.796 * [approximate]: Taking taylor expansion of (tan (/ PI l)) in (l) around 0 1.796 * [taylor]: Taking taylor expansion of (tan (/ PI l)) in l 1.796 * [taylor]: Rewrote expression to (/ (sin (/ PI l)) (cos (/ PI l))) 1.796 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in l 1.796 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.796 * [taylor]: Taking taylor expansion of PI in l 1.796 * [taylor]: Taking taylor expansion of l in l 1.797 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in l 1.797 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.797 * [taylor]: Taking taylor expansion of PI in l 1.797 * [taylor]: Taking taylor expansion of l in l 1.797 * [taylor]: Taking taylor expansion of (tan (/ PI l)) in l 1.797 * [taylor]: Rewrote expression to (/ (sin (/ PI l)) (cos (/ PI l))) 1.797 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in l 1.797 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.797 * [taylor]: Taking taylor expansion of PI in l 1.797 * [taylor]: Taking taylor expansion of l in l 1.798 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in l 1.798 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.798 * [taylor]: Taking taylor expansion of PI in l 1.798 * [taylor]: Taking taylor expansion of l in l 1.801 * [approximate]: Taking taylor expansion of (tan (* -1 (/ PI l))) in (l) around 0 1.801 * [taylor]: Taking taylor expansion of (tan (* -1 (/ PI l))) in l 1.802 * [taylor]: Rewrote expression to (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 1.802 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in l 1.802 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.802 * [taylor]: Taking taylor expansion of -1 in l 1.802 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.802 * [taylor]: Taking taylor expansion of PI in l 1.802 * [taylor]: Taking taylor expansion of l in l 1.802 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in l 1.802 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.802 * [taylor]: Taking taylor expansion of -1 in l 1.802 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.802 * [taylor]: Taking taylor expansion of PI in l 1.802 * [taylor]: Taking taylor expansion of l in l 1.803 * [taylor]: Taking taylor expansion of (tan (* -1 (/ PI l))) in l 1.803 * [taylor]: Rewrote expression to (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 1.803 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in l 1.803 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.803 * [taylor]: Taking taylor expansion of -1 in l 1.803 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.803 * [taylor]: Taking taylor expansion of PI in l 1.803 * [taylor]: Taking taylor expansion of l in l 1.804 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in l 1.804 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.804 * [taylor]: Taking taylor expansion of -1 in l 1.804 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.804 * [taylor]: Taking taylor expansion of PI in l 1.804 * [taylor]: Taking taylor expansion of l in l 1.807 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 1 2 1) 1.807 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 2 1 1 2) 1.807 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 2 1 1 1) 1.807 * * * [progress]: simplifying candidates 1.808 * [simplify]: Simplifying using # : (expm1 (tan (* (* (cbrt PI) (cbrt PI)) (* (cbrt PI) l)))) (log1p (tan (* (* (cbrt PI) (cbrt PI)) (* (cbrt PI) l)))) (sin (* (* (cbrt PI) (cbrt PI)) (* (cbrt PI) l))) (cos (* (* (cbrt PI) (cbrt PI)) (* (cbrt PI) l))) (log (tan (* (* (cbrt PI) (cbrt PI)) (* (cbrt PI) l)))) (exp (tan (* (* (cbrt PI) (cbrt PI)) (* (cbrt PI) l)))) (* (cbrt (tan (* (* (cbrt PI) (cbrt PI)) (* (cbrt PI) l)))) (cbrt (tan (* (* (cbrt PI) (cbrt PI)) (* (cbrt PI) l))))) (cbrt (tan (* (* (cbrt PI) (cbrt PI)) (* (cbrt PI) l)))) (* (* (tan (* (* (cbrt PI) (cbrt PI)) (* (cbrt PI) l))) (tan (* (* (cbrt PI) (cbrt PI)) (* (cbrt PI) l)))) (tan (* (* (cbrt PI) (cbrt PI)) (* (cbrt PI) l)))) (sqrt (tan (* (* (cbrt PI) (cbrt PI)) (* (cbrt PI) l)))) (sqrt (tan (* (* (cbrt PI) (cbrt PI)) (* (cbrt PI) l)))) (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)) (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)) (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)) (+ (* 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))) (* (cbrt PI) l) (* (cbrt PI) l) (* (cbrt PI) l) 1.811 * * [simplify]: iteration 0 : 90 enodes (cost 243 ) 1.813 * * [simplify]: iteration 1 : 202 enodes (cost 219 ) 1.818 * * [simplify]: iteration 2 : 641 enodes (cost 203 ) 1.835 * * [simplify]: iteration 3 : 3118 enodes (cost 203 ) 1.909 * * [simplify]: iteration 4 : 5002 enodes (cost 203 ) 1.910 * [simplify]: Simplified to: (expm1 (tan (* (* (cbrt PI) (cbrt PI)) (* (cbrt PI) l)))) (log1p (tan (* (* (cbrt PI) (cbrt PI)) (* (cbrt PI) l)))) (sin (* PI l)) (cos (* PI l)) (log (tan (* (* (cbrt PI) (cbrt PI)) (* (cbrt PI) l)))) (exp (tan (* (* (cbrt PI) (cbrt PI)) (* (cbrt PI) l)))) (* (cbrt (tan (* (* (cbrt PI) (cbrt PI)) (* (cbrt PI) l)))) (cbrt (tan (* (* (cbrt PI) (cbrt PI)) (* (cbrt PI) l))))) (cbrt (tan (* (* (cbrt PI) (cbrt PI)) (* (cbrt PI) l)))) (pow (tan (* (* (cbrt PI) (cbrt PI)) (* (cbrt PI) l))) 3) (sqrt (tan (* (* (cbrt PI) (cbrt PI)) (* (cbrt PI) l)))) (sqrt (tan (* (* (cbrt PI) (cbrt PI)) (* (cbrt PI) l)))) (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)) PI (sqrt (cbrt PI)) (sqrt (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)) PI (sqrt (cbrt PI)) (sqrt (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)) PI (sqrt (cbrt PI)) (sqrt (cbrt PI)) (fma 2/15 (* (pow PI 5) (pow l 5)) (fma PI l (* 1/3 (* (pow PI 3) (pow l 3))))) (/ (sin (* PI l)) (cos (* PI l))) (/ (sin (* PI l)) (cos (* PI l))) (* (cbrt PI) l) (* (cbrt PI) l) (* (cbrt PI) l) 1.910 * * * [progress]: adding candidates to table 2.104 * * [progress]: iteration 4 / 4 2.104 * * * [progress]: picking best candidate 2.150 * * * * [pick]: Picked # 2.150 * * * [progress]: localizing error 2.170 * * * [progress]: generating rewritten candidates 2.170 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 2.182 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 1 1 2) 2.187 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 2 1 2) 2.188 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 2 1 1 2 2) 2.190 * * * [progress]: generating series expansions 2.190 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 2.191 * [approximate]: Taking taylor expansion of (tan (* PI l)) in (l) around 0 2.191 * [taylor]: Taking taylor expansion of (tan (* PI l)) in l 2.191 * [taylor]: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) 2.191 * [taylor]: Taking taylor expansion of (sin (* PI l)) in l 2.191 * [taylor]: Taking taylor expansion of (* PI l) in l 2.191 * [taylor]: Taking taylor expansion of PI in l 2.191 * [taylor]: Taking taylor expansion of l in l 2.192 * [taylor]: Taking taylor expansion of (cos (* PI l)) in l 2.192 * [taylor]: Taking taylor expansion of (* PI l) in l 2.192 * [taylor]: Taking taylor expansion of PI in l 2.192 * [taylor]: Taking taylor expansion of l in l 2.196 * [taylor]: Taking taylor expansion of (tan (* PI l)) in l 2.196 * [taylor]: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) 2.196 * [taylor]: Taking taylor expansion of (sin (* PI l)) in l 2.196 * [taylor]: Taking taylor expansion of (* PI l) in l 2.196 * [taylor]: Taking taylor expansion of PI in l 2.196 * [taylor]: Taking taylor expansion of l in l 2.197 * [taylor]: Taking taylor expansion of (cos (* PI l)) in l 2.197 * [taylor]: Taking taylor expansion of (* PI l) in l 2.197 * [taylor]: Taking taylor expansion of PI in l 2.197 * [taylor]: Taking taylor expansion of l in l 2.243 * [approximate]: Taking taylor expansion of (tan (/ PI l)) in (l) around 0 2.243 * [taylor]: Taking taylor expansion of (tan (/ PI l)) in l 2.243 * [taylor]: Rewrote expression to (/ (sin (/ PI l)) (cos (/ PI l))) 2.243 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in l 2.243 * [taylor]: Taking taylor expansion of (/ PI l) in l 2.243 * [taylor]: Taking taylor expansion of PI in l 2.243 * [taylor]: Taking taylor expansion of l in l 2.243 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in l 2.243 * [taylor]: Taking taylor expansion of (/ PI l) in l 2.244 * [taylor]: Taking taylor expansion of PI in l 2.244 * [taylor]: Taking taylor expansion of l in l 2.244 * [taylor]: Taking taylor expansion of (tan (/ PI l)) in l 2.244 * [taylor]: Rewrote expression to (/ (sin (/ PI l)) (cos (/ PI l))) 2.244 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in l 2.244 * [taylor]: Taking taylor expansion of (/ PI l) in l 2.244 * [taylor]: Taking taylor expansion of PI in l 2.244 * [taylor]: Taking taylor expansion of l in l 2.244 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in l 2.244 * [taylor]: Taking taylor expansion of (/ PI l) in l 2.244 * [taylor]: Taking taylor expansion of PI in l 2.245 * [taylor]: Taking taylor expansion of l in l 2.247 * [approximate]: Taking taylor expansion of (tan (/ (* (pow (cbrt -1) 3) PI) l)) in (l) around 0 2.247 * [taylor]: Taking taylor expansion of (tan (/ (* (pow (cbrt -1) 3) PI) l)) in l 2.247 * [taylor]: Rewrote expression to (/ (sin (/ (* (pow (cbrt -1) 3) PI) l)) (cos (/ (* (pow (cbrt -1) 3) PI) l))) 2.247 * [taylor]: Taking taylor expansion of (sin (/ (* (pow (cbrt -1) 3) PI) l)) in l 2.247 * [taylor]: Taking taylor expansion of (/ (* (pow (cbrt -1) 3) PI) l) in l 2.247 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 3) PI) in l 2.247 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 3) in l 2.247 * [taylor]: Taking taylor expansion of (cbrt -1) in l 2.247 * [taylor]: Taking taylor expansion of -1 in l 2.248 * [taylor]: Taking taylor expansion of PI in l 2.248 * [taylor]: Taking taylor expansion of l in l 2.260 * [taylor]: Taking taylor expansion of (cos (/ (* (pow (cbrt -1) 3) PI) l)) in l 2.260 * [taylor]: Taking taylor expansion of (/ (* (pow (cbrt -1) 3) PI) l) in l 2.260 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 3) PI) in l 2.260 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 3) in l 2.260 * [taylor]: Taking taylor expansion of (cbrt -1) in l 2.260 * [taylor]: Taking taylor expansion of -1 in l 2.260 * [taylor]: Taking taylor expansion of PI in l 2.261 * [taylor]: Taking taylor expansion of l in l 2.266 * [taylor]: Taking taylor expansion of (tan (/ (* (pow (cbrt -1) 3) PI) l)) in l 2.266 * [taylor]: Rewrote expression to (/ (sin (/ (* (pow (cbrt -1) 3) PI) l)) (cos (/ (* (pow (cbrt -1) 3) PI) l))) 2.266 * [taylor]: Taking taylor expansion of (sin (/ (* (pow (cbrt -1) 3) PI) l)) in l 2.266 * [taylor]: Taking taylor expansion of (/ (* (pow (cbrt -1) 3) PI) l) in l 2.266 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 3) PI) in l 2.266 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 3) in l 2.266 * [taylor]: Taking taylor expansion of (cbrt -1) in l 2.266 * [taylor]: Taking taylor expansion of -1 in l 2.267 * [taylor]: Taking taylor expansion of PI in l 2.267 * [taylor]: Taking taylor expansion of l in l 2.272 * [taylor]: Taking taylor expansion of (cos (/ (* (pow (cbrt -1) 3) PI) l)) in l 2.272 * [taylor]: Taking taylor expansion of (/ (* (pow (cbrt -1) 3) PI) l) in l 2.272 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 3) PI) in l 2.272 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 3) in l 2.272 * [taylor]: Taking taylor expansion of (cbrt -1) in l 2.272 * [taylor]: Taking taylor expansion of -1 in l 2.273 * [taylor]: Taking taylor expansion of PI in l 2.273 * [taylor]: Taking taylor expansion of l in l 2.281 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 1 1 2) 2.281 * [approximate]: Taking taylor expansion of (pow (pow l 2) 1/3) in (l) around 0 2.281 * [taylor]: Taking taylor expansion of (pow (pow l 2) 1/3) in l 2.281 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow l 2)))) in l 2.281 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow l 2))) in l 2.281 * [taylor]: Taking taylor expansion of 1/3 in l 2.281 * [taylor]: Taking taylor expansion of (log (pow l 2)) in l 2.281 * [taylor]: Taking taylor expansion of (pow l 2) in l 2.281 * [taylor]: Taking taylor expansion of l in l 2.282 * [taylor]: Taking taylor expansion of (pow (pow l 2) 1/3) in l 2.282 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow l 2)))) in l 2.282 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow l 2))) in l 2.282 * [taylor]: Taking taylor expansion of 1/3 in l 2.282 * [taylor]: Taking taylor expansion of (log (pow l 2)) in l 2.282 * [taylor]: Taking taylor expansion of (pow l 2) in l 2.282 * [taylor]: Taking taylor expansion of l in l 2.341 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow l 2)) 1/3) in (l) around 0 2.341 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow l 2)) 1/3) in l 2.341 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow l 2))))) in l 2.341 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow l 2)))) in l 2.341 * [taylor]: Taking taylor expansion of 1/3 in l 2.341 * [taylor]: Taking taylor expansion of (log (/ 1 (pow l 2))) in l 2.341 * [taylor]: Taking taylor expansion of (/ 1 (pow l 2)) in l 2.341 * [taylor]: Taking taylor expansion of (pow l 2) in l 2.341 * [taylor]: Taking taylor expansion of l in l 2.342 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow l 2)) 1/3) in l 2.342 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow l 2))))) in l 2.342 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow l 2)))) in l 2.342 * [taylor]: Taking taylor expansion of 1/3 in l 2.342 * [taylor]: Taking taylor expansion of (log (/ 1 (pow l 2))) in l 2.342 * [taylor]: Taking taylor expansion of (/ 1 (pow l 2)) in l 2.342 * [taylor]: Taking taylor expansion of (pow l 2) in l 2.342 * [taylor]: Taking taylor expansion of l in l 2.398 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow l 2)) 1/3)) in (l) around 0 2.398 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow l 2)) 1/3)) in l 2.398 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in l 2.398 * [taylor]: Taking taylor expansion of (cbrt -1) in l 2.398 * [taylor]: Taking taylor expansion of -1 in l 2.399 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow l 2)) 1/3) in l 2.399 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow l 2))))) in l 2.399 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow l 2)))) in l 2.399 * [taylor]: Taking taylor expansion of 1/3 in l 2.399 * [taylor]: Taking taylor expansion of (log (/ 1 (pow l 2))) in l 2.399 * [taylor]: Taking taylor expansion of (/ 1 (pow l 2)) in l 2.399 * [taylor]: Taking taylor expansion of (pow l 2) in l 2.399 * [taylor]: Taking taylor expansion of l in l 2.400 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow l 2)) 1/3)) in l 2.400 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in l 2.401 * [taylor]: Taking taylor expansion of (cbrt -1) in l 2.401 * [taylor]: Taking taylor expansion of -1 in l 2.401 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow l 2)) 1/3) in l 2.401 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow l 2))))) in l 2.401 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow l 2)))) in l 2.401 * [taylor]: Taking taylor expansion of 1/3 in l 2.401 * [taylor]: Taking taylor expansion of (log (/ 1 (pow l 2))) in l 2.401 * [taylor]: Taking taylor expansion of (/ 1 (pow l 2)) in l 2.401 * [taylor]: Taking taylor expansion of (pow l 2) in l 2.401 * [taylor]: Taking taylor expansion of l in l 2.479 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 2 1 2) 2.479 * [approximate]: Taking taylor expansion of (pow l 1/3) in (l) around 0 2.479 * [taylor]: Taking taylor expansion of (pow l 1/3) in l 2.479 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log l))) in l 2.479 * [taylor]: Taking taylor expansion of (* 1/3 (log l)) in l 2.479 * [taylor]: Taking taylor expansion of 1/3 in l 2.479 * [taylor]: Taking taylor expansion of (log l) in l 2.479 * [taylor]: Taking taylor expansion of l in l 2.480 * [taylor]: Taking taylor expansion of (pow l 1/3) in l 2.480 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log l))) in l 2.480 * [taylor]: Taking taylor expansion of (* 1/3 (log l)) in l 2.480 * [taylor]: Taking taylor expansion of 1/3 in l 2.480 * [taylor]: Taking taylor expansion of (log l) in l 2.480 * [taylor]: Taking taylor expansion of l in l 2.534 * [approximate]: Taking taylor expansion of (pow (/ 1 l) 1/3) in (l) around 0 2.534 * [taylor]: Taking taylor expansion of (pow (/ 1 l) 1/3) in l 2.534 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 l)))) in l 2.534 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 l))) in l 2.534 * [taylor]: Taking taylor expansion of 1/3 in l 2.534 * [taylor]: Taking taylor expansion of (log (/ 1 l)) in l 2.534 * [taylor]: Taking taylor expansion of (/ 1 l) in l 2.534 * [taylor]: Taking taylor expansion of l in l 2.535 * [taylor]: Taking taylor expansion of (pow (/ 1 l) 1/3) in l 2.535 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 l)))) in l 2.535 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 l))) in l 2.535 * [taylor]: Taking taylor expansion of 1/3 in l 2.535 * [taylor]: Taking taylor expansion of (log (/ 1 l)) in l 2.535 * [taylor]: Taking taylor expansion of (/ 1 l) in l 2.535 * [taylor]: Taking taylor expansion of l in l 2.591 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 l) 1/3)) in (l) around 0 2.591 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 l) 1/3)) in l 2.592 * [taylor]: Taking taylor expansion of (cbrt -1) in l 2.592 * [taylor]: Taking taylor expansion of -1 in l 2.592 * [taylor]: Taking taylor expansion of (pow (/ 1 l) 1/3) in l 2.592 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 l)))) in l 2.592 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 l))) in l 2.592 * [taylor]: Taking taylor expansion of 1/3 in l 2.592 * [taylor]: Taking taylor expansion of (log (/ 1 l)) in l 2.592 * [taylor]: Taking taylor expansion of (/ 1 l) in l 2.592 * [taylor]: Taking taylor expansion of l in l 2.593 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 l) 1/3)) in l 2.593 * [taylor]: Taking taylor expansion of (cbrt -1) in l 2.593 * [taylor]: Taking taylor expansion of -1 in l 2.594 * [taylor]: Taking taylor expansion of (pow (/ 1 l) 1/3) in l 2.594 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 l)))) in l 2.594 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 l))) in l 2.594 * [taylor]: Taking taylor expansion of 1/3 in l 2.594 * [taylor]: Taking taylor expansion of (log (/ 1 l)) in l 2.594 * [taylor]: Taking taylor expansion of (/ 1 l) in l 2.594 * [taylor]: Taking taylor expansion of l in l 2.662 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 2 1 1 2 2) 2.662 * [approximate]: Taking taylor expansion of (pow l 1/3) in (l) around 0 2.662 * [taylor]: Taking taylor expansion of (pow l 1/3) in l 2.662 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log l))) in l 2.662 * [taylor]: Taking taylor expansion of (* 1/3 (log l)) in l 2.662 * [taylor]: Taking taylor expansion of 1/3 in l 2.662 * [taylor]: Taking taylor expansion of (log l) in l 2.662 * [taylor]: Taking taylor expansion of l in l 2.662 * [taylor]: Taking taylor expansion of (pow l 1/3) in l 2.663 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log l))) in l 2.663 * [taylor]: Taking taylor expansion of (* 1/3 (log l)) in l 2.663 * [taylor]: Taking taylor expansion of 1/3 in l 2.663 * [taylor]: Taking taylor expansion of (log l) in l 2.663 * [taylor]: Taking taylor expansion of l in l 2.710 * [approximate]: Taking taylor expansion of (pow (/ 1 l) 1/3) in (l) around 0 2.710 * [taylor]: Taking taylor expansion of (pow (/ 1 l) 1/3) in l 2.710 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 l)))) in l 2.710 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 l))) in l 2.710 * [taylor]: Taking taylor expansion of 1/3 in l 2.710 * [taylor]: Taking taylor expansion of (log (/ 1 l)) in l 2.710 * [taylor]: Taking taylor expansion of (/ 1 l) in l 2.710 * [taylor]: Taking taylor expansion of l in l 2.711 * [taylor]: Taking taylor expansion of (pow (/ 1 l) 1/3) in l 2.711 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 l)))) in l 2.711 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 l))) in l 2.711 * [taylor]: Taking taylor expansion of 1/3 in l 2.711 * [taylor]: Taking taylor expansion of (log (/ 1 l)) in l 2.711 * [taylor]: Taking taylor expansion of (/ 1 l) in l 2.711 * [taylor]: Taking taylor expansion of l in l 2.769 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 l) 1/3)) in (l) around 0 2.769 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 l) 1/3)) in l 2.769 * [taylor]: Taking taylor expansion of (cbrt -1) in l 2.769 * [taylor]: Taking taylor expansion of -1 in l 2.770 * [taylor]: Taking taylor expansion of (pow (/ 1 l) 1/3) in l 2.770 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 l)))) in l 2.770 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 l))) in l 2.770 * [taylor]: Taking taylor expansion of 1/3 in l 2.770 * [taylor]: Taking taylor expansion of (log (/ 1 l)) in l 2.770 * [taylor]: Taking taylor expansion of (/ 1 l) in l 2.770 * [taylor]: Taking taylor expansion of l in l 2.771 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 l) 1/3)) in l 2.771 * [taylor]: Taking taylor expansion of (cbrt -1) in l 2.771 * [taylor]: Taking taylor expansion of -1 in l 2.771 * [taylor]: Taking taylor expansion of (pow (/ 1 l) 1/3) in l 2.771 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 l)))) in l 2.771 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 l))) in l 2.771 * [taylor]: Taking taylor expansion of 1/3 in l 2.771 * [taylor]: Taking taylor expansion of (log (/ 1 l)) in l 2.771 * [taylor]: Taking taylor expansion of (/ 1 l) in l 2.771 * [taylor]: Taking taylor expansion of l in l 2.839 * * * [progress]: simplifying candidates 2.840 * [simplify]: Simplifying using # : (expm1 (tan (* (* PI (* (cbrt l) (cbrt l))) (cbrt l)))) (log1p (tan (* (* PI (* (cbrt l) (cbrt l))) (cbrt l)))) (sin (* (* PI (* (cbrt l) (cbrt l))) (cbrt l))) (cos (* (* PI (* (cbrt l) (cbrt l))) (cbrt l))) (log (tan (* (* PI (* (cbrt l) (cbrt l))) (cbrt l)))) (exp (tan (* (* PI (* (cbrt l) (cbrt l))) (cbrt l)))) (* (cbrt (tan (* (* PI (* (cbrt l) (cbrt l))) (cbrt l)))) (cbrt (tan (* (* PI (* (cbrt l) (cbrt l))) (cbrt l))))) (cbrt (tan (* (* PI (* (cbrt l) (cbrt l))) (cbrt l)))) (* (* (tan (* (* PI (* (cbrt l) (cbrt l))) (cbrt l))) (tan (* (* PI (* (cbrt l) (cbrt l))) (cbrt l)))) (tan (* (* PI (* (cbrt l) (cbrt l))) (cbrt l)))) (sqrt (tan (* (* PI (* (cbrt l) (cbrt l))) (cbrt l)))) (sqrt (tan (* (* PI (* (cbrt l) (cbrt l))) (cbrt l)))) (expm1 (* (cbrt l) (cbrt l))) (log1p (* (cbrt l) (cbrt l))) (+ 1/3 1/3) (+ 1 1) (* l l) (* (cbrt l) (cbrt l)) (+ 1 1) (+ (log (cbrt l)) (log (cbrt l))) (log (* (cbrt l) (cbrt l))) (exp (* (cbrt l) (cbrt l))) (* l l) (* (cbrt (* (cbrt l) (cbrt l))) (cbrt (* (cbrt l) (cbrt l)))) (cbrt (* (cbrt l) (cbrt l))) (* (* (* (cbrt l) (cbrt l)) (* (cbrt l) (cbrt l))) (* (cbrt l) (cbrt l))) (sqrt (* (cbrt l) (cbrt l))) (sqrt (* (cbrt l) (cbrt l))) (* (cbrt (* (cbrt l) (cbrt l))) (cbrt (* (cbrt l) (cbrt l)))) (* (cbrt (cbrt l)) (cbrt (cbrt l))) (* (cbrt (sqrt l)) (cbrt (sqrt l))) (* (cbrt (sqrt l)) (cbrt (sqrt l))) (* (cbrt 1) (cbrt 1)) (* (cbrt l) (cbrt l)) (* (* (cbrt (cbrt l)) (cbrt (cbrt l))) (* (cbrt (cbrt l)) (cbrt (cbrt l)))) (* (cbrt (cbrt l)) (cbrt (cbrt l))) (* (sqrt (cbrt l)) (sqrt (cbrt l))) (* (sqrt (cbrt l)) (sqrt (cbrt l))) (* 1 1) (* (cbrt l) (cbrt l)) (* (cbrt (sqrt l)) (cbrt (sqrt l))) (* (cbrt (sqrt l)) (cbrt (sqrt l))) (* (cbrt (sqrt l)) (sqrt (cbrt l))) (* (cbrt (sqrt l)) (sqrt (cbrt l))) (* (sqrt (cbrt l)) (cbrt (sqrt l))) (* (sqrt (cbrt l)) (cbrt (sqrt l))) (* (sqrt (cbrt l)) (sqrt (cbrt l))) (* (sqrt (cbrt l)) (sqrt (cbrt l))) (* 2 1/3) (* 2 1) (* (cbrt l) (cbrt (* (cbrt l) (cbrt l)))) (* (cbrt l) (cbrt (sqrt l))) (* (cbrt l) (cbrt 1)) (* (cbrt l) (* (cbrt (cbrt l)) (cbrt (cbrt l)))) (* (cbrt l) (sqrt (cbrt l))) (* (cbrt l) 1) (* (cbrt (cbrt l)) (cbrt l)) (* (cbrt (sqrt l)) (cbrt l)) (* (cbrt l) (cbrt l)) (* (cbrt (cbrt l)) (cbrt l)) (* (sqrt (cbrt l)) (cbrt l)) (* (cbrt l) (cbrt l)) (expm1 (cbrt l)) (log1p (cbrt l)) (log (cbrt l)) (exp (cbrt l)) (cbrt (* (cbrt l) (cbrt l))) (cbrt (cbrt l)) (cbrt (sqrt l)) (cbrt (sqrt l)) (cbrt 1) (cbrt l) (* (cbrt (cbrt l)) (cbrt (cbrt l))) (cbrt (cbrt l)) (* (* (cbrt l) (cbrt l)) (cbrt l)) (sqrt (cbrt l)) (sqrt (cbrt l)) (expm1 (cbrt l)) (log1p (cbrt l)) (log (cbrt l)) (exp (cbrt l)) (cbrt (* (cbrt l) (cbrt l))) (cbrt (cbrt l)) (cbrt (sqrt l)) (cbrt (sqrt l)) (cbrt 1) (cbrt l) (* (cbrt (cbrt l)) (cbrt (cbrt l))) (cbrt (cbrt l)) (* (* (cbrt l) (cbrt l)) (cbrt l)) (sqrt (cbrt l)) (sqrt (cbrt 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))) (pow l 2/3) (pow (/ 1 l) -2/3) (* (pow (cbrt -1) 2) (pow (pow l 2) 1/3)) (pow l 1/3) (pow (/ 1 l) -1/3) (* (pow (* -1 l) 1/3) (cbrt -1)) (pow l 1/3) (pow (/ 1 l) -1/3) (* (pow (* -1 l) 1/3) (cbrt -1)) 2.845 * * [simplify]: iteration 0 : 187 enodes (cost 394 ) 2.849 * * [simplify]: iteration 1 : 722 enodes (cost 355 ) 2.869 * * [simplify]: iteration 2 : 4293 enodes (cost 325 ) 2.987 * * [simplify]: iteration 3 : 5001 enodes (cost 325 ) 2.989 * [simplify]: Simplified to: (expm1 (tan (* (* PI (* (cbrt l) (cbrt l))) (cbrt l)))) (log1p (tan (* (* PI (* (cbrt l) (cbrt l))) (cbrt l)))) (sin (* PI l)) (cos (* PI l)) (log (tan (* (* PI (* (cbrt l) (cbrt l))) (cbrt l)))) (exp (tan (* (* PI (* (cbrt l) (cbrt l))) (cbrt l)))) (* (cbrt (tan (* (* PI (* (cbrt l) (cbrt l))) (cbrt l)))) (cbrt (tan (* (* PI (* (cbrt l) (cbrt l))) (cbrt l))))) (cbrt (tan (* (* PI (* (cbrt l) (cbrt l))) (cbrt l)))) (pow (tan (* (* PI (* (cbrt l) (cbrt l))) (cbrt l))) 3) (sqrt (tan (* (* PI (* (cbrt l) (cbrt l))) (cbrt l)))) (sqrt (tan (* (* PI (* (cbrt l) (cbrt l))) (cbrt l)))) (expm1 (* (cbrt l) (cbrt l))) (log1p (* (cbrt l) (cbrt l))) 2/3 2 (pow l 2) (pow l 2/3) 2 (* 2/3 (log l)) (* 2/3 (log l)) (exp (pow l 2/3)) (pow l 2) (* (cbrt (* (cbrt l) (cbrt l))) (cbrt (* (cbrt l) (cbrt l)))) (cbrt (* (cbrt l) (cbrt l))) (pow l 2) (fabs (pow l 1/3)) (fabs (pow l 1/3)) (* (cbrt (* (cbrt l) (cbrt l))) (cbrt (* (cbrt l) (cbrt l)))) (* (cbrt (cbrt l)) (cbrt (cbrt l))) (* (cbrt (sqrt l)) (cbrt (sqrt l))) (* (cbrt (sqrt l)) (cbrt (sqrt l))) 1 (pow l 2/3) (pow (cbrt (cbrt l)) 4) (* (cbrt (cbrt l)) (cbrt (cbrt l))) (pow l 1/3) (pow l 1/3) 1 (pow l 2/3) (* (cbrt (sqrt l)) (cbrt (sqrt l))) (* (cbrt (sqrt l)) (cbrt (sqrt l))) (* (cbrt (sqrt l)) (sqrt (cbrt l))) (* (cbrt (sqrt l)) (sqrt (cbrt l))) (* (cbrt (sqrt l)) (sqrt (cbrt l))) (* (cbrt (sqrt l)) (sqrt (cbrt l))) (pow l 1/3) (pow l 1/3) 2/3 2 (* (cbrt l) (cbrt (* (cbrt l) (cbrt l)))) (* (cbrt l) (cbrt (sqrt l))) (pow l 1/3) (* (pow (cbrt (cbrt l)) 4) (cbrt (cbrt l))) (pow (sqrt (cbrt l)) 3) (pow l 1/3) (pow (cbrt (cbrt l)) 4) (* (cbrt l) (cbrt (sqrt l))) (pow l 2/3) (pow (cbrt (cbrt l)) 4) (pow (sqrt (cbrt l)) 3) (pow l 2/3) (expm1 (cbrt l)) (log1p (cbrt l)) (log (cbrt l)) (exp (cbrt l)) (cbrt (* (cbrt l) (cbrt l))) (cbrt (cbrt l)) (cbrt (sqrt l)) (cbrt (sqrt l)) 1 (pow l 1/3) (* (cbrt (cbrt l)) (cbrt (cbrt l))) (cbrt (cbrt l)) l (sqrt (cbrt l)) (sqrt (cbrt l)) (expm1 (cbrt l)) (log1p (cbrt l)) (log (cbrt l)) (exp (cbrt l)) (cbrt (* (cbrt l) (cbrt l))) (cbrt (cbrt l)) (cbrt (sqrt l)) (cbrt (sqrt l)) 1 (pow l 1/3) (* (cbrt (cbrt l)) (cbrt (cbrt l))) (cbrt (cbrt l)) l (sqrt (cbrt l)) (sqrt (cbrt l)) (fma 2/15 (* (pow PI 5) (pow l 5)) (fma PI l (* 1/3 (* (pow PI 3) (pow l 3))))) (/ (sin (* PI l)) (cos (* PI l))) (/ (sin (* PI l)) (cos (* PI l))) (pow l 2/3) (pow (/ 1 l) -2/3) (* (pow (cbrt -1) 2) (pow (pow l 2) 1/3)) (pow l 1/3) (pow (/ 1 l) -1/3) (* (pow (* -1 l) 1/3) (cbrt -1)) (pow l 1/3) (pow (/ 1 l) -1/3) (* (pow (* -1 l) 1/3) (cbrt -1)) 2.990 * * * [progress]: adding candidates to table 3.276 * [progress]: [Phase 3 of 3] Extracting. 3.276 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # # # # # # # # # # #) 3.284 * * * [regime-changes]: Trying 5 branch expressions: ((* F F) (/ 1.0 (* F F)) (* PI l) l F) 3.285 * * * * [regimes]: Trying to branch on (* F F) from (# # # # # # # # # # # # # # # # # # # # # # # #) 3.365 * * * * [regimes]: Trying to branch on (* F F) from (# # # #) 3.385 * * * * [regimes]: Trying to branch on (/ 1.0 (* F F)) from (# # # # # # # # # # # # # # # # # # # # # # # #) 3.461 * * * * [regimes]: Trying to branch on (/ 1.0 (* F F)) from (# # #) 3.479 * * * * [regimes]: Trying to branch on (* PI l) from (# # # # # # # # # # # # # # # # # # # # # # # #) 3.563 * * * * [regimes]: Trying to branch on (* PI l) from (# # # # # # # # # #) 3.597 * * * * [regimes]: Trying to branch on l from (# # # # # # # # # # # # # # # # # # # # # # # #) 3.679 * * * * [regimes]: Trying to branch on F from (# # # # # # # # # # # # # # # # # # # # # # # #) 3.763 * * * [regime]: Found split indices: #