0.901 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.386 * * * [progress]: [2/2] Setting up program. 0.390 * [progress]: [Phase 2 of 3] Improving. 0.392 * [simplify]: Simplifying using # : (- (* PI l) (* (/ 1.0 (* F F)) (tan (* PI l)))) 0.397 * * [simplify]: iteration 0 : 19 enodes (cost 7 ) 0.399 * * [simplify]: iteration 1 : 41 enodes (cost 7 ) 0.401 * * [simplify]: iteration 2 : 82 enodes (cost 7 ) 0.402 * * [simplify]: iteration 3 : 122 enodes (cost 7 ) 0.404 * * [simplify]: iteration 4 : 147 enodes (cost 7 ) 0.407 * * [simplify]: iteration 5 : 157 enodes (cost 7 ) 0.409 * * [simplify]: iteration 6 : 159 enodes (cost 7 ) 0.411 * * [simplify]: iteration 7 : 159 enodes (cost 7 ) 0.411 * [simplify]: Simplified to: (- (* PI l) (* (/ 1.0 (* F F)) (tan (* PI l)))) 0.413 * * [progress]: iteration 1 / 4 0.413 * * * [progress]: picking best candidate 0.415 * * * * [pick]: Picked # 0.415 * * * [progress]: localizing error 0.427 * * * [progress]: generating rewritten candidates 0.427 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 0.430 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 0.439 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.444 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 0.451 * * * [progress]: generating series expansions 0.451 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 0.455 * [approximate]: Taking taylor expansion of (tan (* PI l)) in (l) around 0 0.469 * [taylor]: Taking taylor expansion of (tan (* PI l)) in l 0.471 * [taylor]: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) 0.471 * [taylor]: Taking taylor expansion of (sin (* PI l)) in l 0.471 * [taylor]: Taking taylor expansion of (* PI l) in l 0.471 * [taylor]: Taking taylor expansion of PI in l 0.471 * [taylor]: Taking taylor expansion of l in l 0.473 * [taylor]: Taking taylor expansion of (cos (* PI l)) in l 0.473 * [taylor]: Taking taylor expansion of (* PI l) in l 0.473 * [taylor]: Taking taylor expansion of PI in l 0.473 * [taylor]: Taking taylor expansion of l in l 0.477 * [taylor]: Taking taylor expansion of (tan (* PI l)) in l 0.477 * [taylor]: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) 0.477 * [taylor]: Taking taylor expansion of (sin (* PI l)) in l 0.477 * [taylor]: Taking taylor expansion of (* PI l) in l 0.477 * [taylor]: Taking taylor expansion of PI in l 0.477 * [taylor]: Taking taylor expansion of l in l 0.479 * [taylor]: Taking taylor expansion of (cos (* PI l)) in l 0.479 * [taylor]: Taking taylor expansion of (* PI l) in l 0.479 * [taylor]: Taking taylor expansion of PI in l 0.479 * [taylor]: Taking taylor expansion of l in l 0.528 * [approximate]: Taking taylor expansion of (tan (/ PI l)) in (l) around 0 0.528 * [taylor]: Taking taylor expansion of (tan (/ PI l)) in l 0.528 * [taylor]: Rewrote expression to (/ (sin (/ PI l)) (cos (/ PI l))) 0.528 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in l 0.528 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.528 * [taylor]: Taking taylor expansion of PI in l 0.528 * [taylor]: Taking taylor expansion of l in l 0.528 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in l 0.528 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.528 * [taylor]: Taking taylor expansion of PI in l 0.528 * [taylor]: Taking taylor expansion of l in l 0.529 * [taylor]: Taking taylor expansion of (tan (/ PI l)) in l 0.529 * [taylor]: Rewrote expression to (/ (sin (/ PI l)) (cos (/ PI l))) 0.529 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in l 0.529 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.529 * [taylor]: Taking taylor expansion of PI in l 0.529 * [taylor]: Taking taylor expansion of l in l 0.529 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in l 0.529 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.529 * [taylor]: Taking taylor expansion of PI in l 0.529 * [taylor]: Taking taylor expansion of l in l 0.532 * [approximate]: Taking taylor expansion of (tan (* -1 (/ PI l))) in (l) around 0 0.532 * [taylor]: Taking taylor expansion of (tan (* -1 (/ PI l))) in l 0.532 * [taylor]: Rewrote expression to (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 0.532 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in l 0.532 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 0.532 * [taylor]: Taking taylor expansion of -1 in l 0.532 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.532 * [taylor]: Taking taylor expansion of PI in l 0.532 * [taylor]: Taking taylor expansion of l in l 0.533 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in l 0.533 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 0.533 * [taylor]: Taking taylor expansion of -1 in l 0.533 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.533 * [taylor]: Taking taylor expansion of PI in l 0.533 * [taylor]: Taking taylor expansion of l in l 0.534 * [taylor]: Taking taylor expansion of (tan (* -1 (/ PI l))) in l 0.534 * [taylor]: Rewrote expression to (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 0.534 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in l 0.534 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 0.534 * [taylor]: Taking taylor expansion of -1 in l 0.534 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.534 * [taylor]: Taking taylor expansion of PI in l 0.534 * [taylor]: Taking taylor expansion of l in l 0.535 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in l 0.535 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 0.535 * [taylor]: Taking taylor expansion of -1 in l 0.535 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.535 * [taylor]: Taking taylor expansion of PI in l 0.535 * [taylor]: Taking taylor expansion of l in l 0.538 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 0.538 * [approximate]: Taking taylor expansion of (* 1.0 (/ (tan (* PI l)) (pow F 2))) in (F l) around 0 0.538 * [taylor]: Taking taylor expansion of (* 1.0 (/ (tan (* PI l)) (pow F 2))) in l 0.538 * [taylor]: Taking taylor expansion of 1.0 in l 0.538 * [taylor]: Taking taylor expansion of (/ (tan (* PI l)) (pow F 2)) in l 0.538 * [taylor]: Taking taylor expansion of (tan (* PI l)) in l 0.538 * [taylor]: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) 0.538 * [taylor]: Taking taylor expansion of (sin (* PI l)) in l 0.538 * [taylor]: Taking taylor expansion of (* PI l) in l 0.538 * [taylor]: Taking taylor expansion of PI in l 0.538 * [taylor]: Taking taylor expansion of l in l 0.540 * [taylor]: Taking taylor expansion of (cos (* PI l)) in l 0.540 * [taylor]: Taking taylor expansion of (* PI l) in l 0.540 * [taylor]: Taking taylor expansion of PI in l 0.540 * [taylor]: Taking taylor expansion of l in l 0.543 * [taylor]: Taking taylor expansion of (pow F 2) in l 0.543 * [taylor]: Taking taylor expansion of F in l 0.543 * [taylor]: Taking taylor expansion of (* 1.0 (/ (tan (* PI l)) (pow F 2))) in F 0.543 * [taylor]: Taking taylor expansion of 1.0 in F 0.543 * [taylor]: Taking taylor expansion of (/ (tan (* PI l)) (pow F 2)) in F 0.543 * [taylor]: Taking taylor expansion of (tan (* PI l)) in F 0.543 * [taylor]: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) 0.543 * [taylor]: Taking taylor expansion of (sin (* PI l)) in F 0.543 * [taylor]: Taking taylor expansion of (* PI l) in F 0.543 * [taylor]: Taking taylor expansion of PI in F 0.543 * [taylor]: Taking taylor expansion of l in F 0.544 * [taylor]: Taking taylor expansion of (cos (* PI l)) in F 0.544 * [taylor]: Taking taylor expansion of (* PI l) in F 0.544 * [taylor]: Taking taylor expansion of PI in F 0.544 * [taylor]: Taking taylor expansion of l in F 0.545 * [taylor]: Taking taylor expansion of (pow F 2) in F 0.545 * [taylor]: Taking taylor expansion of F in F 0.545 * [taylor]: Taking taylor expansion of (* 1.0 (/ (tan (* PI l)) (pow F 2))) in F 0.545 * [taylor]: Taking taylor expansion of 1.0 in F 0.545 * [taylor]: Taking taylor expansion of (/ (tan (* PI l)) (pow F 2)) in F 0.545 * [taylor]: Taking taylor expansion of (tan (* PI l)) in F 0.545 * [taylor]: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) 0.545 * [taylor]: Taking taylor expansion of (sin (* PI l)) in F 0.545 * [taylor]: Taking taylor expansion of (* PI l) in F 0.545 * [taylor]: Taking taylor expansion of PI in F 0.545 * [taylor]: Taking taylor expansion of l in F 0.546 * [taylor]: Taking taylor expansion of (cos (* PI l)) in F 0.546 * [taylor]: Taking taylor expansion of (* PI l) in F 0.546 * [taylor]: Taking taylor expansion of PI in F 0.546 * [taylor]: Taking taylor expansion of l in F 0.546 * [taylor]: Taking taylor expansion of (pow F 2) in F 0.546 * [taylor]: Taking taylor expansion of F in F 0.547 * [taylor]: Taking taylor expansion of (* 1.0 (/ (sin (* PI l)) (cos (* PI l)))) in l 0.547 * [taylor]: Taking taylor expansion of 1.0 in l 0.547 * [taylor]: Taking taylor expansion of (/ (sin (* PI l)) (cos (* PI l))) in l 0.547 * [taylor]: Taking taylor expansion of (sin (* PI l)) in l 0.547 * [taylor]: Taking taylor expansion of (* PI l) in l 0.547 * [taylor]: Taking taylor expansion of PI in l 0.547 * [taylor]: Taking taylor expansion of l in l 0.548 * [taylor]: Taking taylor expansion of (cos (* PI l)) in l 0.548 * [taylor]: Taking taylor expansion of (* PI l) in l 0.548 * [taylor]: Taking taylor expansion of PI in l 0.548 * [taylor]: Taking taylor expansion of l in l 0.559 * [taylor]: Taking taylor expansion of 0 in l 0.573 * [taylor]: Taking taylor expansion of 0 in l 0.598 * [taylor]: Taking taylor expansion of 0 in l 0.615 * [taylor]: Taking taylor expansion of 0 in l 0.617 * [approximate]: Taking taylor expansion of (* 1.0 (* (tan (/ PI l)) (pow F 2))) in (F l) around 0 0.617 * [taylor]: Taking taylor expansion of (* 1.0 (* (tan (/ PI l)) (pow F 2))) in l 0.617 * [taylor]: Taking taylor expansion of 1.0 in l 0.617 * [taylor]: Taking taylor expansion of (* (tan (/ PI l)) (pow F 2)) in l 0.617 * [taylor]: Taking taylor expansion of (tan (/ PI l)) in l 0.617 * [taylor]: Rewrote expression to (/ (sin (/ PI l)) (cos (/ PI l))) 0.617 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in l 0.617 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.618 * [taylor]: Taking taylor expansion of PI in l 0.618 * [taylor]: Taking taylor expansion of l in l 0.618 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in l 0.618 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.618 * [taylor]: Taking taylor expansion of PI in l 0.618 * [taylor]: Taking taylor expansion of l in l 0.618 * [taylor]: Taking taylor expansion of (pow F 2) in l 0.618 * [taylor]: Taking taylor expansion of F in l 0.618 * [taylor]: Taking taylor expansion of (* 1.0 (* (tan (/ PI l)) (pow F 2))) in F 0.618 * [taylor]: Taking taylor expansion of 1.0 in F 0.618 * [taylor]: Taking taylor expansion of (* (tan (/ PI l)) (pow F 2)) in F 0.619 * [taylor]: Taking taylor expansion of (tan (/ PI l)) in F 0.619 * [taylor]: Rewrote expression to (/ (sin (/ PI l)) (cos (/ PI l))) 0.619 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in F 0.619 * [taylor]: Taking taylor expansion of (/ PI l) in F 0.619 * [taylor]: Taking taylor expansion of PI in F 0.619 * [taylor]: Taking taylor expansion of l in F 0.619 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in F 0.619 * [taylor]: Taking taylor expansion of (/ PI l) in F 0.619 * [taylor]: Taking taylor expansion of PI in F 0.619 * [taylor]: Taking taylor expansion of l in F 0.619 * [taylor]: Taking taylor expansion of (pow F 2) in F 0.619 * [taylor]: Taking taylor expansion of F in F 0.620 * [taylor]: Taking taylor expansion of (* 1.0 (* (tan (/ PI l)) (pow F 2))) in F 0.620 * [taylor]: Taking taylor expansion of 1.0 in F 0.620 * [taylor]: Taking taylor expansion of (* (tan (/ PI l)) (pow F 2)) in F 0.620 * [taylor]: Taking taylor expansion of (tan (/ PI l)) in F 0.620 * [taylor]: Rewrote expression to (/ (sin (/ PI l)) (cos (/ PI l))) 0.620 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in F 0.620 * [taylor]: Taking taylor expansion of (/ PI l) in F 0.620 * [taylor]: Taking taylor expansion of PI in F 0.620 * [taylor]: Taking taylor expansion of l in F 0.620 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in F 0.620 * [taylor]: Taking taylor expansion of (/ PI l) in F 0.620 * [taylor]: Taking taylor expansion of PI in F 0.620 * [taylor]: Taking taylor expansion of l in F 0.621 * [taylor]: Taking taylor expansion of (pow F 2) in F 0.621 * [taylor]: Taking taylor expansion of F in F 0.621 * [taylor]: Taking taylor expansion of (* 1.0 (/ (sin (/ PI l)) (cos (/ PI l)))) in l 0.621 * [taylor]: Taking taylor expansion of 1.0 in l 0.621 * [taylor]: Taking taylor expansion of (/ (sin (/ PI l)) (cos (/ PI l))) in l 0.621 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in l 0.621 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.621 * [taylor]: Taking taylor expansion of PI in l 0.621 * [taylor]: Taking taylor expansion of l in l 0.621 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in l 0.622 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.622 * [taylor]: Taking taylor expansion of PI in l 0.622 * [taylor]: Taking taylor expansion of l in l 0.627 * [taylor]: Taking taylor expansion of 0 in l 0.633 * [taylor]: Taking taylor expansion of 0 in l 0.642 * [taylor]: Taking taylor expansion of 0 in l 0.642 * [approximate]: Taking taylor expansion of (* 1.0 (* (tan (* -1 (/ PI l))) (pow F 2))) in (F l) around 0 0.642 * [taylor]: Taking taylor expansion of (* 1.0 (* (tan (* -1 (/ PI l))) (pow F 2))) in l 0.642 * [taylor]: Taking taylor expansion of 1.0 in l 0.642 * [taylor]: Taking taylor expansion of (* (tan (* -1 (/ PI l))) (pow F 2)) in l 0.642 * [taylor]: Taking taylor expansion of (tan (* -1 (/ PI l))) in l 0.642 * [taylor]: Rewrote expression to (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 0.642 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in l 0.642 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 0.642 * [taylor]: Taking taylor expansion of -1 in l 0.642 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.642 * [taylor]: Taking taylor expansion of PI in l 0.642 * [taylor]: Taking taylor expansion of l in l 0.643 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in l 0.643 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 0.643 * [taylor]: Taking taylor expansion of -1 in l 0.643 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.643 * [taylor]: Taking taylor expansion of PI in l 0.643 * [taylor]: Taking taylor expansion of l in l 0.644 * [taylor]: Taking taylor expansion of (pow F 2) in l 0.644 * [taylor]: Taking taylor expansion of F in l 0.644 * [taylor]: Taking taylor expansion of (* 1.0 (* (tan (* -1 (/ PI l))) (pow F 2))) in F 0.644 * [taylor]: Taking taylor expansion of 1.0 in F 0.644 * [taylor]: Taking taylor expansion of (* (tan (* -1 (/ PI l))) (pow F 2)) in F 0.644 * [taylor]: Taking taylor expansion of (tan (* -1 (/ PI l))) in F 0.644 * [taylor]: Rewrote expression to (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 0.644 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in F 0.644 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in F 0.644 * [taylor]: Taking taylor expansion of -1 in F 0.644 * [taylor]: Taking taylor expansion of (/ PI l) in F 0.644 * [taylor]: Taking taylor expansion of PI in F 0.644 * [taylor]: Taking taylor expansion of l in F 0.644 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in F 0.644 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in F 0.644 * [taylor]: Taking taylor expansion of -1 in F 0.644 * [taylor]: Taking taylor expansion of (/ PI l) in F 0.645 * [taylor]: Taking taylor expansion of PI in F 0.645 * [taylor]: Taking taylor expansion of l in F 0.645 * [taylor]: Taking taylor expansion of (pow F 2) in F 0.645 * [taylor]: Taking taylor expansion of F in F 0.645 * [taylor]: Taking taylor expansion of (* 1.0 (* (tan (* -1 (/ PI l))) (pow F 2))) in F 0.645 * [taylor]: Taking taylor expansion of 1.0 in F 0.645 * [taylor]: Taking taylor expansion of (* (tan (* -1 (/ PI l))) (pow F 2)) in F 0.645 * [taylor]: Taking taylor expansion of (tan (* -1 (/ PI l))) in F 0.645 * [taylor]: Rewrote expression to (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 0.645 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in F 0.645 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in F 0.646 * [taylor]: Taking taylor expansion of -1 in F 0.646 * [taylor]: Taking taylor expansion of (/ PI l) in F 0.646 * [taylor]: Taking taylor expansion of PI in F 0.646 * [taylor]: Taking taylor expansion of l in F 0.648 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in F 0.648 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in F 0.648 * [taylor]: Taking taylor expansion of -1 in F 0.648 * [taylor]: Taking taylor expansion of (/ PI l) in F 0.648 * [taylor]: Taking taylor expansion of PI in F 0.648 * [taylor]: Taking taylor expansion of l in F 0.649 * [taylor]: Taking taylor expansion of (pow F 2) in F 0.649 * [taylor]: Taking taylor expansion of F in F 0.650 * [taylor]: Taking taylor expansion of (* 1.0 (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l))))) in l 0.650 * [taylor]: Taking taylor expansion of 1.0 in l 0.650 * [taylor]: Taking taylor expansion of (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) in l 0.650 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in l 0.650 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 0.650 * [taylor]: Taking taylor expansion of -1 in l 0.650 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.650 * [taylor]: Taking taylor expansion of PI in l 0.650 * [taylor]: Taking taylor expansion of l in l 0.650 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in l 0.650 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 0.651 * [taylor]: Taking taylor expansion of -1 in l 0.651 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.651 * [taylor]: Taking taylor expansion of PI in l 0.651 * [taylor]: Taking taylor expansion of l in l 0.657 * [taylor]: Taking taylor expansion of 0 in l 0.665 * [taylor]: Taking taylor expansion of 0 in l 0.675 * [taylor]: Taking taylor expansion of 0 in l 0.676 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 0.676 * [approximate]: Taking taylor expansion of (/ 1.0 (pow F 2)) in (F) around 0 0.676 * [taylor]: Taking taylor expansion of (/ 1.0 (pow F 2)) in F 0.676 * [taylor]: Taking taylor expansion of 1.0 in F 0.676 * [taylor]: Taking taylor expansion of (pow F 2) in F 0.676 * [taylor]: Taking taylor expansion of F in F 0.677 * [taylor]: Taking taylor expansion of (/ 1.0 (pow F 2)) in F 0.677 * [taylor]: Taking taylor expansion of 1.0 in F 0.677 * [taylor]: Taking taylor expansion of (pow F 2) in F 0.677 * [taylor]: Taking taylor expansion of F in F 0.685 * [approximate]: Taking taylor expansion of (* 1.0 (pow F 2)) in (F) around 0 0.685 * [taylor]: Taking taylor expansion of (* 1.0 (pow F 2)) in F 0.685 * [taylor]: Taking taylor expansion of 1.0 in F 0.685 * [taylor]: Taking taylor expansion of (pow F 2) in F 0.685 * [taylor]: Taking taylor expansion of F in F 0.685 * [taylor]: Taking taylor expansion of (* 1.0 (pow F 2)) in F 0.685 * [taylor]: Taking taylor expansion of 1.0 in F 0.685 * [taylor]: Taking taylor expansion of (pow F 2) in F 0.685 * [taylor]: Taking taylor expansion of F in F 0.694 * [approximate]: Taking taylor expansion of (* 1.0 (pow F 2)) in (F) around 0 0.694 * [taylor]: Taking taylor expansion of (* 1.0 (pow F 2)) in F 0.694 * [taylor]: Taking taylor expansion of 1.0 in F 0.694 * [taylor]: Taking taylor expansion of (pow F 2) in F 0.694 * [taylor]: Taking taylor expansion of F in F 0.694 * [taylor]: Taking taylor expansion of (* 1.0 (pow F 2)) in F 0.694 * [taylor]: Taking taylor expansion of 1.0 in F 0.694 * [taylor]: Taking taylor expansion of (pow F 2) in F 0.694 * [taylor]: Taking taylor expansion of F in F 0.702 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 0.702 * [approximate]: Taking taylor expansion of (* PI l) in (l) around 0 0.702 * [taylor]: Taking taylor expansion of (* PI l) in l 0.702 * [taylor]: Taking taylor expansion of PI in l 0.702 * [taylor]: Taking taylor expansion of l in l 0.702 * [taylor]: Taking taylor expansion of (* PI l) in l 0.702 * [taylor]: Taking taylor expansion of PI in l 0.702 * [taylor]: Taking taylor expansion of l in l 0.708 * [approximate]: Taking taylor expansion of (/ PI l) in (l) around 0 0.708 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.708 * [taylor]: Taking taylor expansion of PI in l 0.708 * [taylor]: Taking taylor expansion of l in l 0.708 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.708 * [taylor]: Taking taylor expansion of PI in l 0.708 * [taylor]: Taking taylor expansion of l in l 0.712 * [approximate]: Taking taylor expansion of (* -1 (/ PI l)) in (l) around 0 0.712 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 0.712 * [taylor]: Taking taylor expansion of -1 in l 0.712 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.712 * [taylor]: Taking taylor expansion of PI in l 0.712 * [taylor]: Taking taylor expansion of l in l 0.713 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 0.713 * [taylor]: Taking taylor expansion of -1 in l 0.713 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.713 * [taylor]: Taking taylor expansion of PI in l 0.713 * [taylor]: Taking taylor expansion of l in l 0.721 * * * [progress]: simplifying candidates 0.723 * [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) 0.728 * * [simplify]: iteration 0 : 334 enodes (cost 468 ) 0.734 * * [simplify]: iteration 1 : 1442 enodes (cost 399 ) 0.761 * * [simplify]: iteration 2 : 5001 enodes (cost 398 ) 0.767 * [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) 0.768 * * * [progress]: adding candidates to table 0.959 * * [progress]: iteration 2 / 4 0.959 * * * [progress]: picking best candidate 0.981 * * * * [pick]: Picked # 0.981 * * * [progress]: localizing error 0.991 * * * [progress]: generating rewritten candidates 0.991 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 0.993 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 1.000 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 2 1) 1.004 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.009 * * * [progress]: generating series expansions 1.009 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 1.009 * [approximate]: Taking taylor expansion of (tan (* PI l)) in (l) around 0 1.009 * [taylor]: Taking taylor expansion of (tan (* PI l)) in l 1.009 * [taylor]: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) 1.009 * [taylor]: Taking taylor expansion of (sin (* PI l)) in l 1.010 * [taylor]: Taking taylor expansion of (* PI l) in l 1.010 * [taylor]: Taking taylor expansion of PI in l 1.010 * [taylor]: Taking taylor expansion of l in l 1.011 * [taylor]: Taking taylor expansion of (cos (* PI l)) in l 1.011 * [taylor]: Taking taylor expansion of (* PI l) in l 1.011 * [taylor]: Taking taylor expansion of PI in l 1.011 * [taylor]: Taking taylor expansion of l in l 1.014 * [taylor]: Taking taylor expansion of (tan (* PI l)) in l 1.014 * [taylor]: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) 1.015 * [taylor]: Taking taylor expansion of (sin (* PI l)) in l 1.015 * [taylor]: Taking taylor expansion of (* PI l) in l 1.015 * [taylor]: Taking taylor expansion of PI in l 1.015 * [taylor]: Taking taylor expansion of l in l 1.016 * [taylor]: Taking taylor expansion of (cos (* PI l)) in l 1.016 * [taylor]: Taking taylor expansion of (* PI l) in l 1.016 * [taylor]: Taking taylor expansion of PI in l 1.016 * [taylor]: Taking taylor expansion of l in l 1.065 * [approximate]: Taking taylor expansion of (tan (/ PI l)) in (l) around 0 1.065 * [taylor]: Taking taylor expansion of (tan (/ PI l)) in l 1.065 * [taylor]: Rewrote expression to (/ (sin (/ PI l)) (cos (/ PI l))) 1.065 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in l 1.065 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.065 * [taylor]: Taking taylor expansion of PI in l 1.065 * [taylor]: Taking taylor expansion of l in l 1.066 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in l 1.066 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.066 * [taylor]: Taking taylor expansion of PI in l 1.066 * [taylor]: Taking taylor expansion of l in l 1.066 * [taylor]: Taking taylor expansion of (tan (/ PI l)) in l 1.066 * [taylor]: Rewrote expression to (/ (sin (/ PI l)) (cos (/ PI l))) 1.066 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in l 1.066 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.066 * [taylor]: Taking taylor expansion of PI in l 1.066 * [taylor]: Taking taylor expansion of l in l 1.067 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in l 1.067 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.067 * [taylor]: Taking taylor expansion of PI in l 1.067 * [taylor]: Taking taylor expansion of l in l 1.069 * [approximate]: Taking taylor expansion of (tan (* -1 (/ PI l))) in (l) around 0 1.069 * [taylor]: Taking taylor expansion of (tan (* -1 (/ PI l))) in l 1.069 * [taylor]: Rewrote expression to (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 1.069 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in l 1.069 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.069 * [taylor]: Taking taylor expansion of -1 in l 1.069 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.069 * [taylor]: Taking taylor expansion of PI in l 1.069 * [taylor]: Taking taylor expansion of l in l 1.070 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in l 1.070 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.070 * [taylor]: Taking taylor expansion of -1 in l 1.070 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.070 * [taylor]: Taking taylor expansion of PI in l 1.070 * [taylor]: Taking taylor expansion of l in l 1.071 * [taylor]: Taking taylor expansion of (tan (* -1 (/ PI l))) in l 1.071 * [taylor]: Rewrote expression to (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 1.071 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in l 1.071 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.071 * [taylor]: Taking taylor expansion of -1 in l 1.071 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.071 * [taylor]: Taking taylor expansion of PI in l 1.071 * [taylor]: Taking taylor expansion of l in l 1.072 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in l 1.072 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.072 * [taylor]: Taking taylor expansion of -1 in l 1.072 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.072 * [taylor]: Taking taylor expansion of PI in l 1.072 * [taylor]: Taking taylor expansion of l in l 1.075 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 1.075 * [approximate]: Taking taylor expansion of (* 1.0 (/ (tan (* PI l)) F)) in (F l) around 0 1.075 * [taylor]: Taking taylor expansion of (* 1.0 (/ (tan (* PI l)) F)) in l 1.075 * [taylor]: Taking taylor expansion of 1.0 in l 1.075 * [taylor]: Taking taylor expansion of (/ (tan (* PI l)) F) in l 1.075 * [taylor]: Taking taylor expansion of (tan (* PI l)) in l 1.075 * [taylor]: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) 1.075 * [taylor]: Taking taylor expansion of (sin (* PI l)) in l 1.076 * [taylor]: Taking taylor expansion of (* PI l) in l 1.076 * [taylor]: Taking taylor expansion of PI in l 1.076 * [taylor]: Taking taylor expansion of l in l 1.077 * [taylor]: Taking taylor expansion of (cos (* PI l)) in l 1.077 * [taylor]: Taking taylor expansion of (* PI l) in l 1.077 * [taylor]: Taking taylor expansion of PI in l 1.077 * [taylor]: Taking taylor expansion of l in l 1.080 * [taylor]: Taking taylor expansion of F in l 1.080 * [taylor]: Taking taylor expansion of (* 1.0 (/ (tan (* PI l)) F)) in F 1.080 * [taylor]: Taking taylor expansion of 1.0 in F 1.080 * [taylor]: Taking taylor expansion of (/ (tan (* PI l)) F) in F 1.080 * [taylor]: Taking taylor expansion of (tan (* PI l)) in F 1.080 * [taylor]: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) 1.080 * [taylor]: Taking taylor expansion of (sin (* PI l)) in F 1.080 * [taylor]: Taking taylor expansion of (* PI l) in F 1.080 * [taylor]: Taking taylor expansion of PI in F 1.080 * [taylor]: Taking taylor expansion of l in F 1.080 * [taylor]: Taking taylor expansion of (cos (* PI l)) in F 1.080 * [taylor]: Taking taylor expansion of (* PI l) in F 1.080 * [taylor]: Taking taylor expansion of PI in F 1.080 * [taylor]: Taking taylor expansion of l in F 1.081 * [taylor]: Taking taylor expansion of F in F 1.081 * [taylor]: Taking taylor expansion of (* 1.0 (/ (tan (* PI l)) F)) in F 1.081 * [taylor]: Taking taylor expansion of 1.0 in F 1.081 * [taylor]: Taking taylor expansion of (/ (tan (* PI l)) F) in F 1.081 * [taylor]: Taking taylor expansion of (tan (* PI l)) in F 1.081 * [taylor]: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) 1.081 * [taylor]: Taking taylor expansion of (sin (* PI l)) in F 1.081 * [taylor]: Taking taylor expansion of (* PI l) in F 1.081 * [taylor]: Taking taylor expansion of PI in F 1.081 * [taylor]: Taking taylor expansion of l in F 1.081 * [taylor]: Taking taylor expansion of (cos (* PI l)) in F 1.081 * [taylor]: Taking taylor expansion of (* PI l) in F 1.081 * [taylor]: Taking taylor expansion of PI in F 1.081 * [taylor]: Taking taylor expansion of l in F 1.082 * [taylor]: Taking taylor expansion of F in F 1.082 * [taylor]: Taking taylor expansion of (* 1.0 (/ (sin (* PI l)) (cos (* PI l)))) in l 1.082 * [taylor]: Taking taylor expansion of 1.0 in l 1.082 * [taylor]: Taking taylor expansion of (/ (sin (* PI l)) (cos (* PI l))) in l 1.082 * [taylor]: Taking taylor expansion of (sin (* PI l)) in l 1.082 * [taylor]: Taking taylor expansion of (* PI l) in l 1.082 * [taylor]: Taking taylor expansion of PI in l 1.082 * [taylor]: Taking taylor expansion of l in l 1.084 * [taylor]: Taking taylor expansion of (cos (* PI l)) in l 1.084 * [taylor]: Taking taylor expansion of (* PI l) in l 1.084 * [taylor]: Taking taylor expansion of PI in l 1.084 * [taylor]: Taking taylor expansion of l in l 1.092 * [taylor]: Taking taylor expansion of 0 in l 1.101 * [taylor]: Taking taylor expansion of 0 in l 1.128 * [taylor]: Taking taylor expansion of 0 in l 1.145 * [taylor]: Taking taylor expansion of 0 in l 1.146 * [approximate]: Taking taylor expansion of (* 1.0 (* (tan (/ PI l)) F)) in (F l) around 0 1.147 * [taylor]: Taking taylor expansion of (* 1.0 (* (tan (/ PI l)) F)) in l 1.147 * [taylor]: Taking taylor expansion of 1.0 in l 1.147 * [taylor]: Taking taylor expansion of (* (tan (/ PI l)) F) in l 1.147 * [taylor]: Taking taylor expansion of (tan (/ PI l)) in l 1.147 * [taylor]: Rewrote expression to (/ (sin (/ PI l)) (cos (/ PI l))) 1.147 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in l 1.147 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.147 * [taylor]: Taking taylor expansion of PI in l 1.147 * [taylor]: Taking taylor expansion of l in l 1.147 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in l 1.147 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.147 * [taylor]: Taking taylor expansion of PI in l 1.147 * [taylor]: Taking taylor expansion of l in l 1.148 * [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 1.149 * [taylor]: Taking taylor expansion of (cos (/ 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 F in F 1.150 * [taylor]: Taking taylor expansion of 0 in l 1.154 * [taylor]: Taking taylor expansion of (* 1.0 (/ (sin (/ PI l)) (cos (/ PI l)))) in l 1.155 * [taylor]: Taking taylor expansion of 1.0 in l 1.155 * [taylor]: Taking taylor expansion of (/ (sin (/ PI l)) (cos (/ PI l))) in l 1.155 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in l 1.155 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.155 * [taylor]: Taking taylor expansion of PI in l 1.155 * [taylor]: Taking taylor expansion of l in l 1.155 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in l 1.155 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.155 * [taylor]: Taking taylor expansion of PI in l 1.155 * [taylor]: Taking taylor expansion of l in l 1.161 * [taylor]: Taking taylor expansion of 0 in l 1.169 * [taylor]: Taking taylor expansion of 0 in l 1.169 * [approximate]: Taking taylor expansion of (* -1.0 (* (tan (* -1 (/ PI l))) F)) in (F l) around 0 1.169 * [taylor]: Taking taylor expansion of (* -1.0 (* (tan (* -1 (/ PI l))) F)) in l 1.169 * [taylor]: Taking taylor expansion of -1.0 in l 1.169 * [taylor]: Taking taylor expansion of (* (tan (* -1 (/ PI l))) F) in l 1.169 * [taylor]: Taking taylor expansion of (tan (* -1 (/ PI l))) in l 1.169 * [taylor]: Rewrote expression to (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 1.169 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in l 1.169 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.169 * [taylor]: Taking taylor expansion of -1 in l 1.169 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.169 * [taylor]: Taking taylor expansion of PI in l 1.169 * [taylor]: Taking taylor expansion of l in l 1.170 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in l 1.170 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.170 * [taylor]: Taking taylor expansion of -1 in l 1.170 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.170 * [taylor]: Taking taylor expansion of PI in l 1.170 * [taylor]: Taking taylor expansion of l in l 1.171 * [taylor]: Taking taylor expansion of F in l 1.171 * [taylor]: Taking taylor expansion of (* -1.0 (* (tan (* -1 (/ PI l))) F)) in F 1.171 * [taylor]: Taking taylor expansion of -1.0 in F 1.171 * [taylor]: Taking taylor expansion of (* (tan (* -1 (/ PI l))) F) in F 1.171 * [taylor]: Taking taylor expansion of (tan (* -1 (/ PI l))) in F 1.171 * [taylor]: Rewrote expression to (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 1.171 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in F 1.171 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in F 1.171 * [taylor]: Taking taylor expansion of -1 in F 1.171 * [taylor]: Taking taylor expansion of (/ PI l) in F 1.171 * [taylor]: Taking taylor expansion of PI in F 1.171 * [taylor]: Taking taylor expansion of l in F 1.171 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in F 1.171 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in F 1.171 * [taylor]: Taking taylor expansion of -1 in F 1.171 * [taylor]: Taking taylor expansion of (/ PI l) in F 1.171 * [taylor]: Taking taylor expansion of PI in F 1.171 * [taylor]: Taking taylor expansion of l in F 1.172 * [taylor]: Taking taylor expansion of F in F 1.172 * [taylor]: Taking taylor expansion of (* -1.0 (* (tan (* -1 (/ PI l))) F)) in F 1.172 * [taylor]: Taking taylor expansion of -1.0 in F 1.172 * [taylor]: Taking taylor expansion of (* (tan (* -1 (/ PI l))) F) in F 1.172 * [taylor]: Taking taylor expansion of (tan (* -1 (/ PI l))) in F 1.172 * [taylor]: Rewrote expression to (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 1.172 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in F 1.172 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in F 1.172 * [taylor]: Taking taylor expansion of -1 in F 1.172 * [taylor]: Taking taylor expansion of (/ PI l) in F 1.172 * [taylor]: Taking taylor expansion of PI in F 1.172 * [taylor]: Taking taylor expansion of l in F 1.173 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in F 1.173 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in F 1.173 * [taylor]: Taking taylor expansion of -1 in F 1.173 * [taylor]: Taking taylor expansion of (/ PI l) in F 1.173 * [taylor]: Taking taylor expansion of PI in F 1.173 * [taylor]: Taking taylor expansion of l in F 1.173 * [taylor]: Taking taylor expansion of F in F 1.174 * [taylor]: Taking taylor expansion of 0 in l 1.179 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))))) in l 1.179 * [taylor]: Taking taylor expansion of (* 1.0 (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l))))) in l 1.179 * [taylor]: Taking taylor expansion of 1.0 in l 1.179 * [taylor]: Taking taylor expansion of (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) in l 1.179 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in l 1.179 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.179 * [taylor]: Taking taylor expansion of -1 in l 1.179 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.179 * [taylor]: Taking taylor expansion of PI in l 1.179 * [taylor]: Taking taylor expansion of l in l 1.180 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in l 1.180 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.180 * [taylor]: Taking taylor expansion of -1 in l 1.180 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.180 * [taylor]: Taking taylor expansion of PI in l 1.180 * [taylor]: Taking taylor expansion of l in l 1.188 * [taylor]: Taking taylor expansion of 0 in l 1.200 * [taylor]: Taking taylor expansion of 0 in l 1.200 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 2 1) 1.200 * [approximate]: Taking taylor expansion of (* PI l) in (l) around 0 1.200 * [taylor]: Taking taylor expansion of (* PI l) in l 1.200 * [taylor]: Taking taylor expansion of PI in l 1.200 * [taylor]: Taking taylor expansion of l in l 1.200 * [taylor]: Taking taylor expansion of (* PI l) in l 1.200 * [taylor]: Taking taylor expansion of PI in l 1.200 * [taylor]: Taking taylor expansion of l in l 1.206 * [approximate]: Taking taylor expansion of (/ PI l) in (l) around 0 1.206 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.206 * [taylor]: Taking taylor expansion of PI in l 1.206 * [taylor]: Taking taylor expansion of l in l 1.206 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.206 * [taylor]: Taking taylor expansion of PI in l 1.206 * [taylor]: Taking taylor expansion of l in l 1.210 * [approximate]: Taking taylor expansion of (* -1 (/ PI l)) in (l) around 0 1.210 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.210 * [taylor]: Taking taylor expansion of -1 in l 1.210 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.210 * [taylor]: Taking taylor expansion of PI in l 1.210 * [taylor]: Taking taylor expansion of l in l 1.211 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.211 * [taylor]: Taking taylor expansion of -1 in l 1.211 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.211 * [taylor]: Taking taylor expansion of PI in l 1.211 * [taylor]: Taking taylor expansion of l in l 1.220 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.220 * [approximate]: Taking taylor expansion of (* PI l) in (l) around 0 1.220 * [taylor]: Taking taylor expansion of (* PI l) in l 1.220 * [taylor]: Taking taylor expansion of PI in l 1.220 * [taylor]: Taking taylor expansion of l in l 1.220 * [taylor]: Taking taylor expansion of (* PI l) in l 1.220 * [taylor]: Taking taylor expansion of PI in l 1.220 * [taylor]: Taking taylor expansion of l in l 1.225 * [approximate]: Taking taylor expansion of (/ PI l) in (l) around 0 1.225 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.225 * [taylor]: Taking taylor expansion of PI in l 1.226 * [taylor]: Taking taylor expansion of l in l 1.226 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.226 * [taylor]: Taking taylor expansion of PI in l 1.226 * [taylor]: Taking taylor expansion of l in l 1.230 * [approximate]: Taking taylor expansion of (* -1 (/ PI l)) in (l) around 0 1.230 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.230 * [taylor]: Taking taylor expansion of -1 in l 1.230 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.230 * [taylor]: Taking taylor expansion of PI in l 1.230 * [taylor]: Taking taylor expansion of l in l 1.230 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.230 * [taylor]: Taking taylor expansion of -1 in l 1.230 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.230 * [taylor]: Taking taylor expansion of PI in l 1.230 * [taylor]: Taking taylor expansion of l in l 1.239 * * * [progress]: simplifying candidates 1.240 * [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) 1.245 * * [simplify]: iteration 0 : 286 enodes (cost 403 ) 1.250 * * [simplify]: iteration 1 : 1032 enodes (cost 363 ) 1.268 * * [simplify]: iteration 2 : 3928 enodes (cost 361 ) 1.323 * * [simplify]: iteration 3 : 5001 enodes (cost 360 ) 1.326 * [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) 1.326 * * * [progress]: adding candidates to table 1.529 * * [progress]: iteration 3 / 4 1.529 * * * [progress]: picking best candidate 1.574 * * * * [pick]: Picked # 1.574 * * * [progress]: localizing error 1.585 * * * [progress]: generating rewritten candidates 1.585 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2 1) 1.587 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 1 1) 1.590 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.594 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 2) 1.602 * * * [progress]: generating series expansions 1.602 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2 1) 1.602 * [approximate]: Taking taylor expansion of (tan (* PI l)) in (l) around 0 1.602 * [taylor]: Taking taylor expansion of (tan (* PI l)) in l 1.602 * [taylor]: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) 1.602 * [taylor]: Taking taylor expansion of (sin (* PI l)) in l 1.602 * [taylor]: Taking taylor expansion of (* PI l) in l 1.602 * [taylor]: Taking taylor expansion of PI in l 1.602 * [taylor]: Taking taylor expansion of l in l 1.604 * [taylor]: Taking taylor expansion of (cos (* PI l)) in l 1.604 * [taylor]: Taking taylor expansion of (* PI l) in l 1.604 * [taylor]: Taking taylor expansion of PI in l 1.604 * [taylor]: Taking taylor expansion of l in l 1.607 * [taylor]: Taking taylor expansion of (tan (* PI l)) in l 1.607 * [taylor]: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) 1.607 * [taylor]: Taking taylor expansion of (sin (* PI l)) in l 1.607 * [taylor]: Taking taylor expansion of (* PI l) in l 1.607 * [taylor]: Taking taylor expansion of PI in l 1.607 * [taylor]: Taking taylor expansion of l in l 1.608 * [taylor]: Taking taylor expansion of (cos (* PI l)) in l 1.608 * [taylor]: Taking taylor expansion of (* PI l) in l 1.608 * [taylor]: Taking taylor expansion of PI in l 1.608 * [taylor]: Taking taylor expansion of l in l 1.654 * [approximate]: Taking taylor expansion of (tan (/ PI l)) in (l) around 0 1.654 * [taylor]: Taking taylor expansion of (tan (/ PI l)) in l 1.654 * [taylor]: Rewrote expression to (/ (sin (/ PI l)) (cos (/ PI l))) 1.654 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in l 1.654 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.654 * [taylor]: Taking taylor expansion of PI in l 1.654 * [taylor]: Taking taylor expansion of l in l 1.654 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in l 1.654 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.654 * [taylor]: Taking taylor expansion of PI in l 1.655 * [taylor]: Taking taylor expansion of l in l 1.655 * [taylor]: Taking taylor expansion of (tan (/ PI l)) in l 1.655 * [taylor]: Rewrote expression to (/ (sin (/ PI l)) (cos (/ PI l))) 1.655 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in l 1.655 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.655 * [taylor]: Taking taylor expansion of PI in l 1.655 * [taylor]: Taking taylor expansion of l in l 1.655 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in l 1.655 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.655 * [taylor]: Taking taylor expansion of PI in l 1.656 * [taylor]: Taking taylor expansion of l in l 1.658 * [approximate]: Taking taylor expansion of (tan (* -1 (/ PI l))) in (l) around 0 1.658 * [taylor]: Taking taylor expansion of (tan (* -1 (/ PI l))) in l 1.658 * [taylor]: Rewrote expression to (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 1.658 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in l 1.658 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.658 * [taylor]: Taking taylor expansion of -1 in l 1.658 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.658 * [taylor]: Taking taylor expansion of PI in l 1.658 * [taylor]: Taking taylor expansion of l in l 1.659 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in l 1.659 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.659 * [taylor]: Taking taylor expansion of -1 in l 1.659 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.659 * [taylor]: Taking taylor expansion of PI in l 1.659 * [taylor]: Taking taylor expansion of l in l 1.660 * [taylor]: Taking taylor expansion of (tan (* -1 (/ PI l))) in l 1.660 * [taylor]: Rewrote expression to (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 1.660 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in l 1.660 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.660 * [taylor]: Taking taylor expansion of -1 in l 1.660 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.660 * [taylor]: Taking taylor expansion of PI in l 1.660 * [taylor]: Taking taylor expansion of l in l 1.661 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in l 1.661 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.661 * [taylor]: Taking taylor expansion of -1 in l 1.661 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.661 * [taylor]: Taking taylor expansion of PI in l 1.661 * [taylor]: Taking taylor expansion of l in l 1.664 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 1 1) 1.664 * [approximate]: Taking taylor expansion of (* PI l) in (l) around 0 1.664 * [taylor]: Taking taylor expansion of (* PI l) in l 1.664 * [taylor]: Taking taylor expansion of PI in l 1.664 * [taylor]: Taking taylor expansion of l in l 1.664 * [taylor]: Taking taylor expansion of (* PI l) in l 1.664 * [taylor]: Taking taylor expansion of PI in l 1.664 * [taylor]: Taking taylor expansion of l in l 1.670 * [approximate]: Taking taylor expansion of (/ PI l) in (l) around 0 1.670 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.670 * [taylor]: Taking taylor expansion of PI in l 1.670 * [taylor]: Taking taylor expansion of l in l 1.670 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.670 * [taylor]: Taking taylor expansion of PI in l 1.670 * [taylor]: Taking taylor expansion of l in l 1.674 * [approximate]: Taking taylor expansion of (* -1 (/ PI l)) in (l) around 0 1.674 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.674 * [taylor]: Taking taylor expansion of -1 in l 1.674 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.674 * [taylor]: Taking taylor expansion of PI in l 1.674 * [taylor]: Taking taylor expansion of l in l 1.675 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.675 * [taylor]: Taking taylor expansion of -1 in l 1.675 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.675 * [taylor]: Taking taylor expansion of PI in l 1.675 * [taylor]: Taking taylor expansion of l in l 1.686 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.687 * [approximate]: Taking taylor expansion of (* PI l) in (l) around 0 1.687 * [taylor]: Taking taylor expansion of (* PI l) in l 1.687 * [taylor]: Taking taylor expansion of PI in l 1.687 * [taylor]: Taking taylor expansion of l in l 1.687 * [taylor]: Taking taylor expansion of (* PI l) in l 1.687 * [taylor]: Taking taylor expansion of PI in l 1.687 * [taylor]: Taking taylor expansion of l in l 1.692 * [approximate]: Taking taylor expansion of (/ PI l) in (l) around 0 1.692 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.692 * [taylor]: Taking taylor expansion of PI in l 1.692 * [taylor]: Taking taylor expansion of l in l 1.693 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.693 * [taylor]: Taking taylor expansion of PI in l 1.693 * [taylor]: Taking taylor expansion of l in l 1.697 * [approximate]: Taking taylor expansion of (* -1 (/ PI l)) in (l) around 0 1.697 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.697 * [taylor]: Taking taylor expansion of -1 in l 1.697 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.697 * [taylor]: Taking taylor expansion of PI in l 1.697 * [taylor]: Taking taylor expansion of l in l 1.697 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.697 * [taylor]: Taking taylor expansion of -1 in l 1.697 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.697 * [taylor]: Taking taylor expansion of PI in l 1.697 * [taylor]: Taking taylor expansion of l in l 1.706 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 2) 1.706 * [approximate]: Taking taylor expansion of (/ (tan (* PI l)) F) in (l F) around 0 1.706 * [taylor]: Taking taylor expansion of (/ (tan (* PI l)) F) in F 1.706 * [taylor]: Taking taylor expansion of (tan (* PI l)) in F 1.706 * [taylor]: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) 1.706 * [taylor]: Taking taylor expansion of (sin (* PI l)) in F 1.706 * [taylor]: Taking taylor expansion of (* PI l) in F 1.706 * [taylor]: Taking taylor expansion of PI in F 1.706 * [taylor]: Taking taylor expansion of l in F 1.706 * [taylor]: Taking taylor expansion of (cos (* PI l)) in F 1.706 * [taylor]: Taking taylor expansion of (* PI l) in F 1.706 * [taylor]: Taking taylor expansion of PI in F 1.706 * [taylor]: Taking taylor expansion of l in F 1.707 * [taylor]: Taking taylor expansion of F in F 1.707 * [taylor]: Taking taylor expansion of (/ (tan (* PI l)) F) in l 1.707 * [taylor]: Taking taylor expansion of (tan (* PI l)) in l 1.707 * [taylor]: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) 1.707 * [taylor]: Taking taylor expansion of (sin (* PI l)) in l 1.707 * [taylor]: Taking taylor expansion of (* PI l) in l 1.707 * [taylor]: Taking taylor expansion of PI in l 1.707 * [taylor]: Taking taylor expansion of l in l 1.708 * [taylor]: Taking taylor expansion of (cos (* PI l)) in l 1.708 * [taylor]: Taking taylor expansion of (* PI l) in l 1.708 * [taylor]: Taking taylor expansion of PI in l 1.708 * [taylor]: Taking taylor expansion of l in l 1.711 * [taylor]: Taking taylor expansion of F in l 1.712 * [taylor]: Taking taylor expansion of (/ (tan (* PI l)) F) in l 1.712 * [taylor]: Taking taylor expansion of (tan (* PI l)) in l 1.712 * [taylor]: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) 1.712 * [taylor]: Taking taylor expansion of (sin (* PI l)) in l 1.712 * [taylor]: Taking taylor expansion of (* PI l) in l 1.712 * [taylor]: Taking taylor expansion of PI in l 1.712 * [taylor]: Taking taylor expansion of l in l 1.713 * [taylor]: Taking taylor expansion of (cos (* PI l)) in l 1.713 * [taylor]: Taking taylor expansion of (* PI l) in l 1.713 * [taylor]: Taking taylor expansion of PI in l 1.713 * [taylor]: Taking taylor expansion of l in l 1.716 * [taylor]: Taking taylor expansion of F in l 1.716 * [taylor]: Taking taylor expansion of (/ PI F) in F 1.716 * [taylor]: Taking taylor expansion of PI in F 1.716 * [taylor]: Taking taylor expansion of F in F 1.718 * [taylor]: Taking taylor expansion of 0 in F 1.731 * [taylor]: Taking taylor expansion of (* 1/3 (/ (pow PI 3) F)) in F 1.731 * [taylor]: Taking taylor expansion of 1/3 in F 1.731 * [taylor]: Taking taylor expansion of (/ (pow PI 3) F) in F 1.731 * [taylor]: Taking taylor expansion of (pow PI 3) in F 1.731 * [taylor]: Taking taylor expansion of PI in F 1.731 * [taylor]: Taking taylor expansion of F in F 1.740 * [taylor]: Taking taylor expansion of 0 in F 1.768 * [taylor]: Taking taylor expansion of (* 2/15 (/ (pow PI 5) F)) in F 1.768 * [taylor]: Taking taylor expansion of 2/15 in F 1.768 * [taylor]: Taking taylor expansion of (/ (pow PI 5) F) in F 1.768 * [taylor]: Taking taylor expansion of (pow PI 5) in F 1.768 * [taylor]: Taking taylor expansion of PI in F 1.768 * [taylor]: Taking taylor expansion of F in F 1.774 * [approximate]: Taking taylor expansion of (* (tan (/ PI l)) F) in (l F) around 0 1.774 * [taylor]: Taking taylor expansion of (* (tan (/ PI l)) F) in F 1.774 * [taylor]: Taking taylor expansion of (tan (/ PI l)) in F 1.774 * [taylor]: Rewrote expression to (/ (sin (/ PI l)) (cos (/ PI l))) 1.774 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in F 1.774 * [taylor]: Taking taylor expansion of (/ PI l) in F 1.774 * [taylor]: Taking taylor expansion of PI in F 1.774 * [taylor]: Taking taylor expansion of l in F 1.774 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in F 1.774 * [taylor]: Taking taylor expansion of (/ PI l) in F 1.774 * [taylor]: Taking taylor expansion of PI in F 1.774 * [taylor]: Taking taylor expansion of l in F 1.775 * [taylor]: Taking taylor expansion of F in F 1.775 * [taylor]: Taking taylor expansion of (* (tan (/ PI l)) F) in l 1.775 * [taylor]: Taking taylor expansion of (tan (/ PI l)) in l 1.775 * [taylor]: Rewrote expression to (/ (sin (/ PI l)) (cos (/ PI l))) 1.775 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in l 1.775 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.775 * [taylor]: Taking taylor expansion of PI in l 1.775 * [taylor]: Taking taylor expansion of l in l 1.776 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in l 1.776 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.776 * [taylor]: Taking taylor expansion of PI in l 1.776 * [taylor]: Taking taylor expansion of l in l 1.776 * [taylor]: Taking taylor expansion of F in l 1.776 * [taylor]: Taking taylor expansion of (* (tan (/ PI l)) F) in l 1.776 * [taylor]: Taking taylor expansion of (tan (/ PI l)) in l 1.777 * [taylor]: Rewrote expression to (/ (sin (/ PI l)) (cos (/ PI l))) 1.777 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in l 1.777 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.777 * [taylor]: Taking taylor expansion of PI in l 1.777 * [taylor]: Taking taylor expansion of l in l 1.777 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in l 1.777 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.777 * [taylor]: Taking taylor expansion of PI in l 1.777 * [taylor]: Taking taylor expansion of l in l 1.777 * [taylor]: Taking taylor expansion of F in l 1.778 * [taylor]: Taking taylor expansion of (/ (* (sin (/ PI l)) F) (cos (/ PI l))) in F 1.778 * [taylor]: Taking taylor expansion of (* (sin (/ PI l)) F) in F 1.778 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in F 1.778 * [taylor]: Taking taylor expansion of (/ PI l) in F 1.778 * [taylor]: Taking taylor expansion of PI in F 1.778 * [taylor]: Taking taylor expansion of l in F 1.778 * [taylor]: Taking taylor expansion of F in F 1.778 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in F 1.778 * [taylor]: Taking taylor expansion of (/ PI l) in F 1.778 * [taylor]: Taking taylor expansion of PI in F 1.778 * [taylor]: Taking taylor expansion of l in F 1.781 * [taylor]: Taking taylor expansion of 0 in F 1.781 * [taylor]: Taking taylor expansion of 0 in F 1.787 * [taylor]: Taking taylor expansion of 0 in F 1.787 * [approximate]: Taking taylor expansion of (* -1 (* (tan (* -1 (/ PI l))) F)) in (l F) around 0 1.787 * [taylor]: Taking taylor expansion of (* -1 (* (tan (* -1 (/ PI l))) F)) in F 1.787 * [taylor]: Taking taylor expansion of -1 in F 1.787 * [taylor]: Taking taylor expansion of (* (tan (* -1 (/ PI l))) F) in F 1.787 * [taylor]: Taking taylor expansion of (tan (* -1 (/ PI l))) in F 1.787 * [taylor]: Rewrote expression to (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 1.787 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in F 1.787 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in F 1.787 * [taylor]: Taking taylor expansion of -1 in F 1.787 * [taylor]: Taking taylor expansion of (/ PI l) in F 1.787 * [taylor]: Taking taylor expansion of PI in F 1.787 * [taylor]: Taking taylor expansion of l in F 1.787 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in F 1.787 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in F 1.787 * [taylor]: Taking taylor expansion of -1 in F 1.787 * [taylor]: Taking taylor expansion of (/ PI l) in F 1.787 * [taylor]: Taking taylor expansion of PI in F 1.787 * [taylor]: Taking taylor expansion of l in F 1.788 * [taylor]: Taking taylor expansion of F in F 1.788 * [taylor]: Taking taylor expansion of (* -1 (* (tan (* -1 (/ PI l))) F)) in l 1.788 * [taylor]: Taking taylor expansion of -1 in l 1.788 * [taylor]: Taking taylor expansion of (* (tan (* -1 (/ PI l))) F) in l 1.788 * [taylor]: Taking taylor expansion of (tan (* -1 (/ PI l))) in l 1.788 * [taylor]: Rewrote expression to (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 1.788 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in l 1.788 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.788 * [taylor]: Taking taylor expansion of -1 in l 1.788 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.788 * [taylor]: Taking taylor expansion of PI in l 1.788 * [taylor]: Taking taylor expansion of l in l 1.789 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in l 1.789 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.789 * [taylor]: Taking taylor expansion of -1 in l 1.789 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.789 * [taylor]: Taking taylor expansion of PI in l 1.789 * [taylor]: Taking taylor expansion of l in l 1.790 * [taylor]: Taking taylor expansion of F in l 1.790 * [taylor]: Taking taylor expansion of (* -1 (* (tan (* -1 (/ PI l))) F)) in l 1.790 * [taylor]: Taking taylor expansion of -1 in l 1.790 * [taylor]: Taking taylor expansion of (* (tan (* -1 (/ PI l))) F) in l 1.790 * [taylor]: Taking taylor expansion of (tan (* -1 (/ PI l))) in l 1.790 * [taylor]: Rewrote expression to (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 1.790 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in l 1.790 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.790 * [taylor]: Taking taylor expansion of -1 in l 1.790 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.790 * [taylor]: Taking taylor expansion of PI in l 1.790 * [taylor]: Taking taylor expansion of l in l 1.791 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in l 1.791 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.791 * [taylor]: Taking taylor expansion of -1 in l 1.791 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.791 * [taylor]: Taking taylor expansion of PI in l 1.791 * [taylor]: Taking taylor expansion of l in l 1.792 * [taylor]: Taking taylor expansion of F in l 1.792 * [taylor]: Taking taylor expansion of (* -1 (/ (* F (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l))))) in F 1.792 * [taylor]: Taking taylor expansion of -1 in F 1.792 * [taylor]: Taking taylor expansion of (/ (* F (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l)))) in F 1.792 * [taylor]: Taking taylor expansion of (* F (sin (* -1 (/ PI l)))) in F 1.792 * [taylor]: Taking taylor expansion of F in F 1.792 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in F 1.792 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in F 1.792 * [taylor]: Taking taylor expansion of -1 in F 1.792 * [taylor]: Taking taylor expansion of (/ PI l) in F 1.792 * [taylor]: Taking taylor expansion of PI in F 1.792 * [taylor]: Taking taylor expansion of l in F 1.792 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in F 1.792 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in F 1.792 * [taylor]: Taking taylor expansion of -1 in F 1.792 * [taylor]: Taking taylor expansion of (/ PI l) in F 1.792 * [taylor]: Taking taylor expansion of PI in F 1.792 * [taylor]: Taking taylor expansion of l in F 1.796 * [taylor]: Taking taylor expansion of 0 in F 1.798 * [taylor]: Taking taylor expansion of 0 in F 1.805 * [taylor]: Taking taylor expansion of 0 in F 1.806 * * * [progress]: simplifying candidates 1.807 * [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 (* 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) (expm1 (/ (tan (* PI l)) F)) (log1p (/ (tan (* PI l)) F)) (- (log (tan (* PI l))) (log F)) (log (/ (tan (* PI l)) F)) (exp (/ (tan (* PI l)) F)) (/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* F F) F)) (* (cbrt (/ (tan (* PI l)) F)) (cbrt (/ (tan (* PI l)) F))) (cbrt (/ (tan (* PI l)) F)) (* (* (/ (tan (* PI l)) F) (/ (tan (* PI l)) F)) (/ (tan (* PI l)) F)) (sqrt (/ (tan (* PI l)) F)) (sqrt (/ (tan (* PI l)) F)) (- (tan (* PI l))) (- F) (/ (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l)))) (* (cbrt F) (cbrt F))) (/ (cbrt (tan (* PI l))) (cbrt F)) (/ (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l)))) (sqrt F)) (/ (cbrt (tan (* PI l))) (sqrt F)) (/ (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l)))) 1) (/ (cbrt (tan (* PI l))) F) (/ (sqrt (tan (* PI l))) (* (cbrt F) (cbrt F))) (/ (sqrt (tan (* PI l))) (cbrt F)) (/ (sqrt (tan (* PI l))) (sqrt F)) (/ (sqrt (tan (* PI l))) (sqrt F)) (/ (sqrt (tan (* PI l))) 1) (/ (sqrt (tan (* PI l))) F) (/ 1 (* (cbrt F) (cbrt F))) (/ (tan (* PI l)) (cbrt F)) (/ 1 (sqrt F)) (/ (tan (* PI l)) (sqrt F)) (/ 1 1) (/ (tan (* PI l)) F) (/ 1 F) (/ F (tan (* PI l))) (/ (tan (* PI l)) (* (cbrt F) (cbrt F))) (/ (tan (* PI l)) (sqrt F)) (/ (tan (* PI l)) 1) (/ F (cbrt (tan (* PI l)))) (/ F (sqrt (tan (* PI l)))) (/ F (tan (* PI l))) (* F (cos (* 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))) (* PI l) (* PI l) (* PI l) (* PI l) (* PI l) (* 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)) 1.811 * * [simplify]: iteration 0 : 212 enodes (cost 368 ) 1.815 * * [simplify]: iteration 1 : 688 enodes (cost 341 ) 1.827 * * [simplify]: iteration 2 : 2316 enodes (cost 339 ) 1.867 * * [simplify]: iteration 3 : 5002 enodes (cost 338 ) 1.869 * [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 (* 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) (expm1 (/ (tan (* PI l)) F)) (log1p (/ (tan (* PI l)) F)) (log (/ (tan (* PI l)) F)) (log (/ (tan (* PI l)) F)) (exp (/ (tan (* PI l)) F)) (pow (/ (tan (* PI l)) F) 3) (* (cbrt (/ (tan (* PI l)) F)) (cbrt (/ (tan (* PI l)) F))) (cbrt (/ (tan (* PI l)) F)) (pow (/ (tan (* PI l)) F) 3) (sqrt (/ (tan (* PI l)) F)) (sqrt (/ (tan (* PI l)) F)) (- (tan (* PI l))) (- F) (/ (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l)))) (* (cbrt F) (cbrt F))) (/ (cbrt (tan (* PI l))) (cbrt F)) (/ (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l)))) (sqrt F)) (/ (cbrt (tan (* PI l))) (sqrt F)) (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l)))) (/ (cbrt (tan (* PI l))) F) (/ (sqrt (tan (* PI l))) (* (cbrt F) (cbrt F))) (/ (sqrt (tan (* PI l))) (cbrt F)) (/ (sqrt (tan (* PI l))) (sqrt F)) (/ (sqrt (tan (* PI l))) (sqrt F)) (sqrt (tan (* PI l))) (/ (sqrt (tan (* PI l))) F) (/ 1 (* (cbrt F) (cbrt F))) (/ (tan (* PI l)) (cbrt F)) (/ 1 (sqrt F)) (/ (tan (* PI l)) (sqrt F)) 1 (/ (tan (* PI l)) F) (/ 1 F) (/ F (tan (* PI l))) (/ (tan (* PI l)) (* (cbrt F) (cbrt F))) (/ (tan (* PI l)) (sqrt F)) (tan (* PI l)) (/ F (cbrt (tan (* PI l)))) (/ F (sqrt (tan (* PI l)))) (/ F (tan (* PI l))) (* F (cos (* 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))) (* PI l) (* PI l) (* PI l) (* PI l) (* PI l) (* PI l) (fma (/ PI F) l (fma 1/3 (/ (pow (* PI 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)) 1.870 * * * [progress]: adding candidates to table 2.044 * * [progress]: iteration 4 / 4 2.044 * * * [progress]: picking best candidate 2.090 * * * * [pick]: Picked # 2.090 * * * [progress]: localizing error 2.108 * * * [progress]: generating rewritten candidates 2.108 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2 2) 2.110 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 1) 2.113 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2) 2.115 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 1) 2.120 * * * [progress]: generating series expansions 2.120 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2 2) 2.120 * [approximate]: Taking taylor expansion of (tan (* PI l)) in (l) around 0 2.120 * [taylor]: Taking taylor expansion of (tan (* PI l)) in l 2.120 * [taylor]: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) 2.120 * [taylor]: Taking taylor expansion of (sin (* PI l)) in l 2.120 * [taylor]: Taking taylor expansion of (* PI l) in l 2.120 * [taylor]: Taking taylor expansion of PI in l 2.120 * [taylor]: Taking taylor expansion of l in l 2.121 * [taylor]: Taking taylor expansion of (cos (* PI l)) in l 2.121 * [taylor]: Taking taylor expansion of (* PI l) in l 2.121 * [taylor]: Taking taylor expansion of PI in l 2.121 * [taylor]: Taking taylor expansion of l in l 2.125 * [taylor]: Taking taylor expansion of (tan (* PI l)) in l 2.125 * [taylor]: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) 2.125 * [taylor]: Taking taylor expansion of (sin (* PI l)) in l 2.125 * [taylor]: Taking taylor expansion of (* PI l) in l 2.125 * [taylor]: Taking taylor expansion of PI in l 2.125 * [taylor]: Taking taylor expansion of l in l 2.126 * [taylor]: Taking taylor expansion of (cos (* PI l)) in l 2.126 * [taylor]: Taking taylor expansion of (* PI l) in l 2.126 * [taylor]: Taking taylor expansion of PI in l 2.126 * [taylor]: Taking taylor expansion of l in l 2.171 * [approximate]: Taking taylor expansion of (tan (/ PI l)) in (l) around 0 2.172 * [taylor]: Taking taylor expansion of (tan (/ PI l)) in l 2.172 * [taylor]: Rewrote expression to (/ (sin (/ PI l)) (cos (/ PI l))) 2.172 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in l 2.172 * [taylor]: Taking taylor expansion of (/ PI l) in l 2.172 * [taylor]: Taking taylor expansion of PI in l 2.172 * [taylor]: Taking taylor expansion of l in l 2.172 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in l 2.172 * [taylor]: Taking taylor expansion of (/ PI l) in l 2.172 * [taylor]: Taking taylor expansion of PI in l 2.172 * [taylor]: Taking taylor expansion of l in l 2.172 * [taylor]: Taking taylor expansion of (tan (/ PI l)) in l 2.173 * [taylor]: Rewrote expression to (/ (sin (/ PI l)) (cos (/ PI l))) 2.173 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in l 2.173 * [taylor]: Taking taylor expansion of (/ PI l) in l 2.173 * [taylor]: Taking taylor expansion of PI in l 2.173 * [taylor]: Taking taylor expansion of l in l 2.173 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in l 2.173 * [taylor]: Taking taylor expansion of (/ PI l) in l 2.173 * [taylor]: Taking taylor expansion of PI in l 2.173 * [taylor]: Taking taylor expansion of l in l 2.175 * [approximate]: Taking taylor expansion of (tan (* -1 (/ PI l))) in (l) around 0 2.175 * [taylor]: Taking taylor expansion of (tan (* -1 (/ PI l))) in l 2.176 * [taylor]: Rewrote expression to (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 2.176 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in l 2.176 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 2.176 * [taylor]: Taking taylor expansion of -1 in l 2.176 * [taylor]: Taking taylor expansion of (/ PI l) in l 2.176 * [taylor]: Taking taylor expansion of PI in l 2.176 * [taylor]: Taking taylor expansion of l in l 2.176 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in l 2.176 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 2.176 * [taylor]: Taking taylor expansion of -1 in l 2.176 * [taylor]: Taking taylor expansion of (/ PI l) in l 2.176 * [taylor]: Taking taylor expansion of PI in l 2.176 * [taylor]: Taking taylor expansion of l in l 2.177 * [taylor]: Taking taylor expansion of (tan (* -1 (/ PI l))) in l 2.177 * [taylor]: Rewrote expression to (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 2.177 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in l 2.177 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 2.177 * [taylor]: Taking taylor expansion of -1 in l 2.177 * [taylor]: Taking taylor expansion of (/ PI l) in l 2.177 * [taylor]: Taking taylor expansion of PI in l 2.177 * [taylor]: Taking taylor expansion of l in l 2.178 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in l 2.178 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 2.178 * [taylor]: Taking taylor expansion of -1 in l 2.178 * [taylor]: Taking taylor expansion of (/ PI l) in l 2.178 * [taylor]: Taking taylor expansion of PI in l 2.178 * [taylor]: Taking taylor expansion of l in l 2.181 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 1) 2.182 * [approximate]: Taking taylor expansion of (* (pow (/ 1 F) 1/3) (cbrt 1.0)) in (F) around 0 2.182 * [taylor]: Taking taylor expansion of (* (pow (/ 1 F) 1/3) (cbrt 1.0)) in F 2.182 * [taylor]: Taking taylor expansion of (pow (/ 1 F) 1/3) in F 2.182 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 F)))) in F 2.182 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 F))) in F 2.182 * [taylor]: Taking taylor expansion of 1/3 in F 2.182 * [taylor]: Taking taylor expansion of (log (/ 1 F)) in F 2.182 * [taylor]: Taking taylor expansion of (/ 1 F) in F 2.182 * [taylor]: Taking taylor expansion of F in F 2.183 * [taylor]: Taking taylor expansion of (cbrt 1.0) in F 2.183 * [taylor]: Taking taylor expansion of 1.0 in F 2.184 * [taylor]: Taking taylor expansion of (* (pow (/ 1 F) 1/3) (cbrt 1.0)) in F 2.184 * [taylor]: Taking taylor expansion of (pow (/ 1 F) 1/3) in F 2.184 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 F)))) in F 2.184 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 F))) in F 2.184 * [taylor]: Taking taylor expansion of 1/3 in F 2.184 * [taylor]: Taking taylor expansion of (log (/ 1 F)) in F 2.184 * [taylor]: Taking taylor expansion of (/ 1 F) in F 2.184 * [taylor]: Taking taylor expansion of F in F 2.185 * [taylor]: Taking taylor expansion of (cbrt 1.0) in F 2.185 * [taylor]: Taking taylor expansion of 1.0 in F 2.252 * [approximate]: Taking taylor expansion of (* (pow F 1/3) (cbrt 1.0)) in (F) around 0 2.252 * [taylor]: Taking taylor expansion of (* (pow F 1/3) (cbrt 1.0)) in F 2.252 * [taylor]: Taking taylor expansion of (pow F 1/3) in F 2.252 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log F))) in F 2.252 * [taylor]: Taking taylor expansion of (* 1/3 (log F)) in F 2.252 * [taylor]: Taking taylor expansion of 1/3 in F 2.252 * [taylor]: Taking taylor expansion of (log F) in F 2.252 * [taylor]: Taking taylor expansion of F in F 2.253 * [taylor]: Taking taylor expansion of (cbrt 1.0) in F 2.253 * [taylor]: Taking taylor expansion of 1.0 in F 2.254 * [taylor]: Taking taylor expansion of (* (pow F 1/3) (cbrt 1.0)) in F 2.254 * [taylor]: Taking taylor expansion of (pow F 1/3) in F 2.254 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log F))) in F 2.254 * [taylor]: Taking taylor expansion of (* 1/3 (log F)) in F 2.254 * [taylor]: Taking taylor expansion of 1/3 in F 2.254 * [taylor]: Taking taylor expansion of (log F) in F 2.254 * [taylor]: Taking taylor expansion of F in F 2.254 * [taylor]: Taking taylor expansion of (cbrt 1.0) in F 2.254 * [taylor]: Taking taylor expansion of 1.0 in F 2.317 * [approximate]: Taking taylor expansion of (* (cbrt -1.0) (pow F 1/3)) in (F) around 0 2.317 * [taylor]: Taking taylor expansion of (* (cbrt -1.0) (pow F 1/3)) in F 2.317 * [taylor]: Taking taylor expansion of (cbrt -1.0) in F 2.317 * [taylor]: Taking taylor expansion of -1.0 in F 2.318 * [taylor]: Taking taylor expansion of (pow F 1/3) in F 2.318 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log F))) in F 2.318 * [taylor]: Taking taylor expansion of (* 1/3 (log F)) in F 2.318 * [taylor]: Taking taylor expansion of 1/3 in F 2.318 * [taylor]: Taking taylor expansion of (log F) in F 2.318 * [taylor]: Taking taylor expansion of F in F 2.318 * [taylor]: Taking taylor expansion of (* (cbrt -1.0) (pow F 1/3)) in F 2.318 * [taylor]: Taking taylor expansion of (cbrt -1.0) in F 2.318 * [taylor]: Taking taylor expansion of -1.0 in F 2.319 * [taylor]: Taking taylor expansion of (pow F 1/3) in F 2.319 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log F))) in F 2.319 * [taylor]: Taking taylor expansion of (* 1/3 (log F)) in F 2.319 * [taylor]: Taking taylor expansion of 1/3 in F 2.319 * [taylor]: Taking taylor expansion of (log F) in F 2.319 * [taylor]: Taking taylor expansion of F in F 2.383 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2) 2.383 * [approximate]: Taking taylor expansion of (* (pow (/ 1 F) 1/3) (cbrt 1.0)) in (F) around 0 2.383 * [taylor]: Taking taylor expansion of (* (pow (/ 1 F) 1/3) (cbrt 1.0)) in F 2.383 * [taylor]: Taking taylor expansion of (pow (/ 1 F) 1/3) in F 2.383 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 F)))) in F 2.383 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 F))) in F 2.383 * [taylor]: Taking taylor expansion of 1/3 in F 2.383 * [taylor]: Taking taylor expansion of (log (/ 1 F)) in F 2.383 * [taylor]: Taking taylor expansion of (/ 1 F) in F 2.383 * [taylor]: Taking taylor expansion of F in F 2.384 * [taylor]: Taking taylor expansion of (cbrt 1.0) in F 2.384 * [taylor]: Taking taylor expansion of 1.0 in F 2.385 * [taylor]: Taking taylor expansion of (* (pow (/ 1 F) 1/3) (cbrt 1.0)) in F 2.385 * [taylor]: Taking taylor expansion of (pow (/ 1 F) 1/3) in F 2.385 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 F)))) in F 2.385 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 F))) in F 2.385 * [taylor]: Taking taylor expansion of 1/3 in F 2.385 * [taylor]: Taking taylor expansion of (log (/ 1 F)) in F 2.385 * [taylor]: Taking taylor expansion of (/ 1 F) in F 2.385 * [taylor]: Taking taylor expansion of F in F 2.386 * [taylor]: Taking taylor expansion of (cbrt 1.0) in F 2.386 * [taylor]: Taking taylor expansion of 1.0 in F 2.451 * [approximate]: Taking taylor expansion of (* (pow F 1/3) (cbrt 1.0)) in (F) around 0 2.451 * [taylor]: Taking taylor expansion of (* (pow F 1/3) (cbrt 1.0)) in F 2.451 * [taylor]: Taking taylor expansion of (pow F 1/3) in F 2.451 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log F))) in F 2.451 * [taylor]: Taking taylor expansion of (* 1/3 (log F)) in F 2.451 * [taylor]: Taking taylor expansion of 1/3 in F 2.451 * [taylor]: Taking taylor expansion of (log F) in F 2.451 * [taylor]: Taking taylor expansion of F in F 2.452 * [taylor]: Taking taylor expansion of (cbrt 1.0) in F 2.452 * [taylor]: Taking taylor expansion of 1.0 in F 2.453 * [taylor]: Taking taylor expansion of (* (pow F 1/3) (cbrt 1.0)) in F 2.453 * [taylor]: Taking taylor expansion of (pow F 1/3) in F 2.453 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log F))) in F 2.453 * [taylor]: Taking taylor expansion of (* 1/3 (log F)) in F 2.453 * [taylor]: Taking taylor expansion of 1/3 in F 2.453 * [taylor]: Taking taylor expansion of (log F) in F 2.453 * [taylor]: Taking taylor expansion of F in F 2.453 * [taylor]: Taking taylor expansion of (cbrt 1.0) in F 2.453 * [taylor]: Taking taylor expansion of 1.0 in F 2.515 * [approximate]: Taking taylor expansion of (* (cbrt -1.0) (pow F 1/3)) in (F) around 0 2.515 * [taylor]: Taking taylor expansion of (* (cbrt -1.0) (pow F 1/3)) in F 2.515 * [taylor]: Taking taylor expansion of (cbrt -1.0) in F 2.515 * [taylor]: Taking taylor expansion of -1.0 in F 2.516 * [taylor]: Taking taylor expansion of (pow F 1/3) in F 2.516 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log F))) in F 2.516 * [taylor]: Taking taylor expansion of (* 1/3 (log F)) in F 2.516 * [taylor]: Taking taylor expansion of 1/3 in F 2.516 * [taylor]: Taking taylor expansion of (log F) in F 2.516 * [taylor]: Taking taylor expansion of F in F 2.517 * [taylor]: Taking taylor expansion of (* (cbrt -1.0) (pow F 1/3)) in F 2.517 * [taylor]: Taking taylor expansion of (cbrt -1.0) in F 2.517 * [taylor]: Taking taylor expansion of -1.0 in F 2.517 * [taylor]: Taking taylor expansion of (pow F 1/3) in F 2.517 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log F))) in F 2.518 * [taylor]: Taking taylor expansion of (* 1/3 (log F)) in F 2.518 * [taylor]: Taking taylor expansion of 1/3 in F 2.518 * [taylor]: Taking taylor expansion of (log F) in F 2.518 * [taylor]: Taking taylor expansion of F in F 2.581 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 1) 2.581 * [approximate]: Taking taylor expansion of (* (pow (/ 1 F) 1/3) (cbrt 1.0)) in (F) around 0 2.581 * [taylor]: Taking taylor expansion of (* (pow (/ 1 F) 1/3) (cbrt 1.0)) in F 2.581 * [taylor]: Taking taylor expansion of (pow (/ 1 F) 1/3) in F 2.581 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 F)))) in F 2.581 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 F))) in F 2.581 * [taylor]: Taking taylor expansion of 1/3 in F 2.581 * [taylor]: Taking taylor expansion of (log (/ 1 F)) in F 2.581 * [taylor]: Taking taylor expansion of (/ 1 F) in F 2.581 * [taylor]: Taking taylor expansion of F in F 2.582 * [taylor]: Taking taylor expansion of (cbrt 1.0) in F 2.582 * [taylor]: Taking taylor expansion of 1.0 in F 2.583 * [taylor]: Taking taylor expansion of (* (pow (/ 1 F) 1/3) (cbrt 1.0)) in F 2.583 * [taylor]: Taking taylor expansion of (pow (/ 1 F) 1/3) in F 2.583 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 F)))) in F 2.583 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 F))) in F 2.583 * [taylor]: Taking taylor expansion of 1/3 in F 2.583 * [taylor]: Taking taylor expansion of (log (/ 1 F)) in F 2.583 * [taylor]: Taking taylor expansion of (/ 1 F) in F 2.583 * [taylor]: Taking taylor expansion of F in F 2.584 * [taylor]: Taking taylor expansion of (cbrt 1.0) in F 2.584 * [taylor]: Taking taylor expansion of 1.0 in F 2.643 * [approximate]: Taking taylor expansion of (* (pow F 1/3) (cbrt 1.0)) in (F) around 0 2.643 * [taylor]: Taking taylor expansion of (* (pow F 1/3) (cbrt 1.0)) in F 2.643 * [taylor]: Taking taylor expansion of (pow F 1/3) in F 2.643 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log F))) in F 2.643 * [taylor]: Taking taylor expansion of (* 1/3 (log F)) in F 2.643 * [taylor]: Taking taylor expansion of 1/3 in F 2.643 * [taylor]: Taking taylor expansion of (log F) in F 2.643 * [taylor]: Taking taylor expansion of F in F 2.644 * [taylor]: Taking taylor expansion of (cbrt 1.0) in F 2.644 * [taylor]: Taking taylor expansion of 1.0 in F 2.644 * [taylor]: Taking taylor expansion of (* (pow F 1/3) (cbrt 1.0)) in F 2.644 * [taylor]: Taking taylor expansion of (pow F 1/3) in F 2.644 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log F))) in F 2.644 * [taylor]: Taking taylor expansion of (* 1/3 (log F)) in F 2.644 * [taylor]: Taking taylor expansion of 1/3 in F 2.644 * [taylor]: Taking taylor expansion of (log F) in F 2.644 * [taylor]: Taking taylor expansion of F in F 2.645 * [taylor]: Taking taylor expansion of (cbrt 1.0) in F 2.645 * [taylor]: Taking taylor expansion of 1.0 in F 2.706 * [approximate]: Taking taylor expansion of (* (cbrt -1.0) (pow F 1/3)) in (F) around 0 2.706 * [taylor]: Taking taylor expansion of (* (cbrt -1.0) (pow F 1/3)) in F 2.706 * [taylor]: Taking taylor expansion of (cbrt -1.0) in F 2.706 * [taylor]: Taking taylor expansion of -1.0 in F 2.707 * [taylor]: Taking taylor expansion of (pow F 1/3) in F 2.707 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log F))) in F 2.707 * [taylor]: Taking taylor expansion of (* 1/3 (log F)) in F 2.707 * [taylor]: Taking taylor expansion of 1/3 in F 2.707 * [taylor]: Taking taylor expansion of (log F) in F 2.707 * [taylor]: Taking taylor expansion of F in F 2.708 * [taylor]: Taking taylor expansion of (* (cbrt -1.0) (pow F 1/3)) in F 2.708 * [taylor]: Taking taylor expansion of (cbrt -1.0) in F 2.708 * [taylor]: Taking taylor expansion of -1.0 in F 2.708 * [taylor]: Taking taylor expansion of (pow F 1/3) in F 2.708 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log F))) in F 2.708 * [taylor]: Taking taylor expansion of (* 1/3 (log F)) in F 2.708 * [taylor]: Taking taylor expansion of 1/3 in F 2.708 * [taylor]: Taking taylor expansion of (log F) in F 2.709 * [taylor]: Taking taylor expansion of F in F 2.773 * * * [progress]: simplifying candidates 2.774 * [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 (cbrt (/ 1.0 F))) (log1p (cbrt (/ 1.0 F))) (log (cbrt (/ 1.0 F))) (exp (cbrt (/ 1.0 F))) (cbrt (* (cbrt (/ 1.0 F)) (cbrt (/ 1.0 F)))) (cbrt (cbrt (/ 1.0 F))) (cbrt (sqrt (/ 1.0 F))) (cbrt (sqrt (/ 1.0 F))) (cbrt (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt F) (cbrt F)))) (cbrt (/ (cbrt 1.0) (cbrt F))) (cbrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt F))) (cbrt (/ (cbrt 1.0) (sqrt F))) (cbrt (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (cbrt (/ (cbrt 1.0) F)) (cbrt (/ (sqrt 1.0) (* (cbrt F) (cbrt F)))) (cbrt (/ (sqrt 1.0) (cbrt F))) (cbrt (/ (sqrt 1.0) (sqrt F))) (cbrt (/ (sqrt 1.0) (sqrt F))) (cbrt (/ (sqrt 1.0) 1)) (cbrt (/ (sqrt 1.0) F)) (cbrt (/ 1 (* (cbrt F) (cbrt F)))) (cbrt (/ 1.0 (cbrt F))) (cbrt (/ 1 (sqrt F))) (cbrt (/ 1.0 (sqrt F))) (cbrt (/ 1 1)) (cbrt (/ 1.0 F)) (cbrt 1) (cbrt (/ 1.0 F)) (cbrt 1.0) (cbrt (/ 1 F)) (cbrt 1.0) (cbrt F) (* (cbrt (cbrt (/ 1.0 F))) (cbrt (cbrt (/ 1.0 F)))) (cbrt (cbrt (/ 1.0 F))) (* (* (cbrt (/ 1.0 F)) (cbrt (/ 1.0 F))) (cbrt (/ 1.0 F))) (sqrt (cbrt (/ 1.0 F))) (sqrt (cbrt (/ 1.0 F))) (expm1 (cbrt (/ 1.0 F))) (log1p (cbrt (/ 1.0 F))) (log (cbrt (/ 1.0 F))) (exp (cbrt (/ 1.0 F))) (cbrt (* (cbrt (/ 1.0 F)) (cbrt (/ 1.0 F)))) (cbrt (cbrt (/ 1.0 F))) (cbrt (sqrt (/ 1.0 F))) (cbrt (sqrt (/ 1.0 F))) (cbrt (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt F) (cbrt F)))) (cbrt (/ (cbrt 1.0) (cbrt F))) (cbrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt F))) (cbrt (/ (cbrt 1.0) (sqrt F))) (cbrt (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (cbrt (/ (cbrt 1.0) F)) (cbrt (/ (sqrt 1.0) (* (cbrt F) (cbrt F)))) (cbrt (/ (sqrt 1.0) (cbrt F))) (cbrt (/ (sqrt 1.0) (sqrt F))) (cbrt (/ (sqrt 1.0) (sqrt F))) (cbrt (/ (sqrt 1.0) 1)) (cbrt (/ (sqrt 1.0) F)) (cbrt (/ 1 (* (cbrt F) (cbrt F)))) (cbrt (/ 1.0 (cbrt F))) (cbrt (/ 1 (sqrt F))) (cbrt (/ 1.0 (sqrt F))) (cbrt (/ 1 1)) (cbrt (/ 1.0 F)) (cbrt 1) (cbrt (/ 1.0 F)) (cbrt 1.0) (cbrt (/ 1 F)) (cbrt 1.0) (cbrt F) (* (cbrt (cbrt (/ 1.0 F))) (cbrt (cbrt (/ 1.0 F)))) (cbrt (cbrt (/ 1.0 F))) (* (* (cbrt (/ 1.0 F)) (cbrt (/ 1.0 F))) (cbrt (/ 1.0 F))) (sqrt (cbrt (/ 1.0 F))) (sqrt (cbrt (/ 1.0 F))) (expm1 (cbrt (/ 1.0 F))) (log1p (cbrt (/ 1.0 F))) (log (cbrt (/ 1.0 F))) (exp (cbrt (/ 1.0 F))) (cbrt (* (cbrt (/ 1.0 F)) (cbrt (/ 1.0 F)))) (cbrt (cbrt (/ 1.0 F))) (cbrt (sqrt (/ 1.0 F))) (cbrt (sqrt (/ 1.0 F))) (cbrt (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt F) (cbrt F)))) (cbrt (/ (cbrt 1.0) (cbrt F))) (cbrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt F))) (cbrt (/ (cbrt 1.0) (sqrt F))) (cbrt (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (cbrt (/ (cbrt 1.0) F)) (cbrt (/ (sqrt 1.0) (* (cbrt F) (cbrt F)))) (cbrt (/ (sqrt 1.0) (cbrt F))) (cbrt (/ (sqrt 1.0) (sqrt F))) (cbrt (/ (sqrt 1.0) (sqrt F))) (cbrt (/ (sqrt 1.0) 1)) (cbrt (/ (sqrt 1.0) F)) (cbrt (/ 1 (* (cbrt F) (cbrt F)))) (cbrt (/ 1.0 (cbrt F))) (cbrt (/ 1 (sqrt F))) (cbrt (/ 1.0 (sqrt F))) (cbrt (/ 1 1)) (cbrt (/ 1.0 F)) (cbrt 1) (cbrt (/ 1.0 F)) (cbrt 1.0) (cbrt (/ 1 F)) (cbrt 1.0) (cbrt F) (* (cbrt (cbrt (/ 1.0 F))) (cbrt (cbrt (/ 1.0 F)))) (cbrt (cbrt (/ 1.0 F))) (* (* (cbrt (/ 1.0 F)) (cbrt (/ 1.0 F))) (cbrt (/ 1.0 F))) (sqrt (cbrt (/ 1.0 F))) (sqrt (cbrt (/ 1.0 F))) (+ (* 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 (/ 1 F) 1/3) (cbrt 1.0)) (* (pow (/ 1 F) 1/3) (cbrt 1.0)) (* (pow (/ -1 F) 1/3) (cbrt -1.0)) (* (pow (/ 1 F) 1/3) (cbrt 1.0)) (* (pow (/ 1 F) 1/3) (cbrt 1.0)) (* (pow (/ -1 F) 1/3) (cbrt -1.0)) (* (pow (/ 1 F) 1/3) (cbrt 1.0)) (* (pow (/ 1 F) 1/3) (cbrt 1.0)) (* (pow (/ -1 F) 1/3) (cbrt -1.0)) 2.778 * * [simplify]: iteration 0 : 152 enodes (cost 485 ) 2.781 * * [simplify]: iteration 1 : 324 enodes (cost 465 ) 2.787 * * [simplify]: iteration 2 : 1009 enodes (cost 459 ) 2.807 * * [simplify]: iteration 3 : 3857 enodes (cost 453 ) 2.890 * * [simplify]: iteration 4 : 5002 enodes (cost 453 ) 2.893 * [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 (cbrt (/ 1.0 F))) (log1p (cbrt (/ 1.0 F))) (log (cbrt (/ 1.0 F))) (exp (cbrt (/ 1.0 F))) (cbrt (* (cbrt (/ 1.0 F)) (cbrt (/ 1.0 F)))) (cbrt (cbrt (/ 1.0 F))) (cbrt (sqrt (/ 1.0 F))) (cbrt (sqrt (/ 1.0 F))) (cbrt (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt F) (cbrt F)))) (cbrt (/ (cbrt 1.0) (cbrt F))) (cbrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt F))) (cbrt (/ (cbrt 1.0) (sqrt F))) (cbrt (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (cbrt (/ (cbrt 1.0) F)) (cbrt (/ (sqrt 1.0) (* (cbrt F) (cbrt F)))) (cbrt (/ (sqrt 1.0) (cbrt F))) (cbrt (/ (sqrt 1.0) (sqrt F))) (cbrt (/ (sqrt 1.0) (sqrt F))) (cbrt (/ (sqrt 1.0) 1)) (cbrt (/ (sqrt 1.0) F)) (cbrt (/ 1 (* (cbrt F) (cbrt F)))) (cbrt (/ 1.0 (cbrt F))) (cbrt (/ 1 (sqrt F))) (cbrt (/ 1.0 (sqrt F))) 1 (cbrt (/ 1.0 F)) 1 (cbrt (/ 1.0 F)) (cbrt 1.0) (pow (/ 1 F) 1/3) (cbrt 1.0) (cbrt F) (* (cbrt (cbrt (/ 1.0 F))) (cbrt (cbrt (/ 1.0 F)))) (cbrt (cbrt (/ 1.0 F))) (/ 1.0 F) (sqrt (cbrt (/ 1.0 F))) (sqrt (cbrt (/ 1.0 F))) (expm1 (cbrt (/ 1.0 F))) (log1p (cbrt (/ 1.0 F))) (log (cbrt (/ 1.0 F))) (exp (cbrt (/ 1.0 F))) (cbrt (* (cbrt (/ 1.0 F)) (cbrt (/ 1.0 F)))) (cbrt (cbrt (/ 1.0 F))) (cbrt (sqrt (/ 1.0 F))) (cbrt (sqrt (/ 1.0 F))) (cbrt (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt F) (cbrt F)))) (cbrt (/ (cbrt 1.0) (cbrt F))) (cbrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt F))) (cbrt (/ (cbrt 1.0) (sqrt F))) (cbrt (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (cbrt (/ (cbrt 1.0) F)) (cbrt (/ (sqrt 1.0) (* (cbrt F) (cbrt F)))) (cbrt (/ (sqrt 1.0) (cbrt F))) (cbrt (/ (sqrt 1.0) (sqrt F))) (cbrt (/ (sqrt 1.0) (sqrt F))) (cbrt (/ (sqrt 1.0) 1)) (cbrt (/ (sqrt 1.0) F)) (cbrt (/ 1 (* (cbrt F) (cbrt F)))) (cbrt (/ 1.0 (cbrt F))) (cbrt (/ 1 (sqrt F))) (cbrt (/ 1.0 (sqrt F))) 1 (cbrt (/ 1.0 F)) 1 (cbrt (/ 1.0 F)) (cbrt 1.0) (pow (/ 1 F) 1/3) (cbrt 1.0) (cbrt F) (* (cbrt (cbrt (/ 1.0 F))) (cbrt (cbrt (/ 1.0 F)))) (cbrt (cbrt (/ 1.0 F))) (/ 1.0 F) (sqrt (cbrt (/ 1.0 F))) (sqrt (cbrt (/ 1.0 F))) (expm1 (cbrt (/ 1.0 F))) (log1p (cbrt (/ 1.0 F))) (log (cbrt (/ 1.0 F))) (exp (cbrt (/ 1.0 F))) (cbrt (* (cbrt (/ 1.0 F)) (cbrt (/ 1.0 F)))) (cbrt (cbrt (/ 1.0 F))) (cbrt (sqrt (/ 1.0 F))) (cbrt (sqrt (/ 1.0 F))) (cbrt (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt F) (cbrt F)))) (cbrt (/ (cbrt 1.0) (cbrt F))) (cbrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt F))) (cbrt (/ (cbrt 1.0) (sqrt F))) (cbrt (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (cbrt (/ (cbrt 1.0) F)) (cbrt (/ (sqrt 1.0) (* (cbrt F) (cbrt F)))) (cbrt (/ (sqrt 1.0) (cbrt F))) (cbrt (/ (sqrt 1.0) (sqrt F))) (cbrt (/ (sqrt 1.0) (sqrt F))) (cbrt (/ (sqrt 1.0) 1)) (cbrt (/ (sqrt 1.0) F)) (cbrt (/ 1 (* (cbrt F) (cbrt F)))) (cbrt (/ 1.0 (cbrt F))) (cbrt (/ 1 (sqrt F))) (cbrt (/ 1.0 (sqrt F))) 1 (cbrt (/ 1.0 F)) 1 (cbrt (/ 1.0 F)) (cbrt 1.0) (pow (/ 1 F) 1/3) (cbrt 1.0) (cbrt F) (* (cbrt (cbrt (/ 1.0 F))) (cbrt (cbrt (/ 1.0 F)))) (cbrt (cbrt (/ 1.0 F))) (/ 1.0 F) (sqrt (cbrt (/ 1.0 F))) (sqrt (cbrt (/ 1.0 F))) (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 (/ 1 F) 1/3) (cbrt 1.0)) (* (pow (/ 1 F) 1/3) (cbrt 1.0)) (* (pow (/ -1 F) 1/3) (cbrt -1.0)) (* (pow (/ 1 F) 1/3) (cbrt 1.0)) (* (pow (/ 1 F) 1/3) (cbrt 1.0)) (* (pow (/ -1 F) 1/3) (cbrt -1.0)) (* (pow (/ 1 F) 1/3) (cbrt 1.0)) (* (pow (/ 1 F) 1/3) (cbrt 1.0)) (* (pow (/ -1 F) 1/3) (cbrt -1.0)) 2.894 * * * [progress]: adding candidates to table 3.149 * [progress]: [Phase 3 of 3] Extracting. 3.150 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # # # # # # # #) 3.155 * * * [regime-changes]: Trying 5 branch expressions: ((* F F) (/ 1.0 (* F F)) (* PI l) l F) 3.155 * * * * [regimes]: Trying to branch on (* F F) from (# # # # # # # # # # # # # # # # # # # # #) 3.219 * * * * [regimes]: Trying to branch on (* F F) from (# # # # # #) 3.244 * * * * [regimes]: Trying to branch on (/ 1.0 (* F F)) from (# # # # # # # # # # # # # # # # # # # # #) 3.305 * * * * [regimes]: Trying to branch on (/ 1.0 (* F F)) from (# # # # # #) 3.330 * * * * [regimes]: Trying to branch on (* PI l) from (# # # # # # # # # # # # # # # # # # # # #) 3.394 * * * * [regimes]: Trying to branch on l from (# # # # # # # # # # # # # # # # # # # # #) 3.462 * * * * [regimes]: Trying to branch on F from (# # # # # # # # # # # # # # # # # # # # #) 3.527 * * * [regime]: Found split indices: #