0.932 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.391 * * * [progress]: [2/2] Setting up program. 0.394 * [progress]: [Phase 2 of 3] Improving. 0.396 * [simplify]: Simplifying using # : (- (* PI l) (* (/ 1.0 (* F F)) (tan (* PI l)))) 0.402 * * [simplify]: iteration 0 : 19 enodes (cost 7 ) 0.403 * * [simplify]: iteration 1 : 41 enodes (cost 7 ) 0.405 * * [simplify]: iteration 2 : 82 enodes (cost 7 ) 0.407 * * [simplify]: iteration 3 : 122 enodes (cost 7 ) 0.409 * * [simplify]: iteration 4 : 147 enodes (cost 7 ) 0.411 * * [simplify]: iteration 5 : 157 enodes (cost 7 ) 0.413 * * [simplify]: iteration 6 : 159 enodes (cost 7 ) 0.415 * * [simplify]: iteration 7 : 159 enodes (cost 7 ) 0.416 * [simplify]: Simplified to: (- (* PI l) (* (/ 1.0 (* F F)) (tan (* PI l)))) 0.418 * * [progress]: iteration 1 / 4 0.418 * * * [progress]: picking best candidate 0.421 * * * * [pick]: Picked # 0.421 * * * [progress]: localizing error 0.435 * * * [progress]: generating rewritten candidates 0.435 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 0.438 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 0.448 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1) 0.452 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.458 * * * [progress]: generating series expansions 0.459 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 0.478 * [approximate]: Taking taylor expansion of (tan (* PI l)) in (l) around 0 0.479 * [taylor]: Taking taylor expansion of (tan (* PI l)) in l 0.480 * [taylor]: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) 0.480 * [taylor]: Taking taylor expansion of (sin (* PI l)) in l 0.480 * [taylor]: Taking taylor expansion of (* PI l) in l 0.480 * [taylor]: Taking taylor expansion of PI in l 0.480 * [taylor]: Taking taylor expansion of l in l 0.482 * [taylor]: Taking taylor expansion of (cos (* PI l)) in l 0.482 * [taylor]: Taking taylor expansion of (* PI l) in l 0.482 * [taylor]: Taking taylor expansion of PI in l 0.483 * [taylor]: Taking taylor expansion of l in l 0.487 * [taylor]: Taking taylor expansion of (tan (* PI l)) in l 0.487 * [taylor]: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) 0.487 * [taylor]: Taking taylor expansion of (sin (* PI l)) in l 0.487 * [taylor]: Taking taylor expansion of (* PI l) in l 0.487 * [taylor]: Taking taylor expansion of PI in l 0.487 * [taylor]: Taking taylor expansion of l in l 0.488 * [taylor]: Taking taylor expansion of (cos (* PI l)) in l 0.488 * [taylor]: Taking taylor expansion of (* PI l) in l 0.488 * [taylor]: Taking taylor expansion of PI in l 0.488 * [taylor]: Taking taylor expansion of l in l 0.537 * [approximate]: Taking taylor expansion of (tan (/ PI l)) in (l) around 0 0.537 * [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 0.538 * [taylor]: Taking taylor expansion of (cos (/ 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 0.539 * [taylor]: Taking taylor expansion of (tan (/ PI l)) in l 0.539 * [taylor]: Rewrote expression to (/ (sin (/ PI l)) (cos (/ PI l))) 0.539 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in l 0.539 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.539 * [taylor]: Taking taylor expansion of PI in l 0.539 * [taylor]: Taking taylor expansion of l in l 0.539 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in l 0.539 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.539 * [taylor]: Taking taylor expansion of PI in l 0.539 * [taylor]: Taking taylor expansion of l in l 0.542 * [approximate]: Taking taylor expansion of (tan (* -1 (/ PI l))) in (l) around 0 0.542 * [taylor]: Taking taylor expansion of (tan (* -1 (/ PI l))) in l 0.542 * [taylor]: Rewrote expression to (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 0.542 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in l 0.542 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 0.542 * [taylor]: Taking taylor expansion of -1 in l 0.542 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.542 * [taylor]: Taking taylor expansion of PI in l 0.542 * [taylor]: Taking taylor expansion of l in l 0.543 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in l 0.543 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 0.543 * [taylor]: Taking taylor expansion of -1 in l 0.543 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.543 * [taylor]: Taking taylor expansion of PI in l 0.543 * [taylor]: Taking taylor expansion of l in l 0.544 * [taylor]: Taking taylor expansion of (tan (* -1 (/ PI l))) in l 0.544 * [taylor]: Rewrote expression to (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 0.544 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in l 0.544 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 0.544 * [taylor]: Taking taylor expansion of -1 in l 0.544 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.544 * [taylor]: Taking taylor expansion of PI in l 0.544 * [taylor]: Taking taylor expansion of l in l 0.545 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in l 0.545 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 0.545 * [taylor]: Taking taylor expansion of -1 in l 0.545 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.545 * [taylor]: Taking taylor expansion of PI in l 0.545 * [taylor]: Taking taylor expansion of l in l 0.548 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 0.549 * [approximate]: Taking taylor expansion of (* 1.0 (/ (tan (* PI l)) (pow F 2))) in (F l) around 0 0.549 * [taylor]: Taking taylor expansion of (* 1.0 (/ (tan (* PI l)) (pow F 2))) in l 0.549 * [taylor]: Taking taylor expansion of 1.0 in l 0.549 * [taylor]: Taking taylor expansion of (/ (tan (* PI l)) (pow F 2)) in l 0.549 * [taylor]: Taking taylor expansion of (tan (* PI l)) in l 0.549 * [taylor]: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) 0.549 * [taylor]: Taking taylor expansion of (sin (* PI l)) in l 0.549 * [taylor]: Taking taylor expansion of (* PI l) in l 0.549 * [taylor]: Taking taylor expansion of PI in l 0.549 * [taylor]: Taking taylor expansion of l in l 0.550 * [taylor]: Taking taylor expansion of (cos (* PI l)) in l 0.550 * [taylor]: Taking taylor expansion of (* PI l) in l 0.550 * [taylor]: Taking taylor expansion of PI in l 0.550 * [taylor]: Taking taylor expansion of l in l 0.553 * [taylor]: Taking taylor expansion of (pow F 2) in l 0.553 * [taylor]: Taking taylor expansion of F in l 0.554 * [taylor]: Taking taylor expansion of (* 1.0 (/ (tan (* PI l)) (pow F 2))) in F 0.554 * [taylor]: Taking taylor expansion of 1.0 in F 0.554 * [taylor]: Taking taylor expansion of (/ (tan (* PI l)) (pow F 2)) in F 0.554 * [taylor]: Taking taylor expansion of (tan (* PI l)) in F 0.554 * [taylor]: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) 0.554 * [taylor]: Taking taylor expansion of (sin (* PI l)) in F 0.554 * [taylor]: Taking taylor expansion of (* PI l) in F 0.554 * [taylor]: Taking taylor expansion of PI in F 0.554 * [taylor]: Taking taylor expansion of l in F 0.554 * [taylor]: Taking taylor expansion of (cos (* PI l)) in F 0.554 * [taylor]: Taking taylor expansion of (* PI l) in F 0.554 * [taylor]: Taking taylor expansion of PI in F 0.554 * [taylor]: Taking taylor expansion of l in F 0.555 * [taylor]: Taking taylor expansion of (pow F 2) in F 0.556 * [taylor]: Taking taylor expansion of F in F 0.556 * [taylor]: Taking taylor expansion of (* 1.0 (/ (tan (* PI l)) (pow F 2))) in F 0.556 * [taylor]: Taking taylor expansion of 1.0 in F 0.556 * [taylor]: Taking taylor expansion of (/ (tan (* PI l)) (pow F 2)) in F 0.556 * [taylor]: Taking taylor expansion of (tan (* PI l)) in F 0.556 * [taylor]: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) 0.556 * [taylor]: Taking taylor expansion of (sin (* PI l)) in F 0.556 * [taylor]: Taking taylor expansion of (* PI l) in F 0.556 * [taylor]: Taking taylor expansion of PI in F 0.556 * [taylor]: Taking taylor expansion of l in F 0.556 * [taylor]: Taking taylor expansion of (cos (* PI l)) in F 0.556 * [taylor]: Taking taylor expansion of (* PI l) in F 0.556 * [taylor]: Taking taylor expansion of PI in F 0.556 * [taylor]: Taking taylor expansion of l in F 0.557 * [taylor]: Taking taylor expansion of (pow F 2) in F 0.557 * [taylor]: Taking taylor expansion of F in F 0.557 * [taylor]: Taking taylor expansion of (* 1.0 (/ (sin (* PI l)) (cos (* PI l)))) in l 0.557 * [taylor]: Taking taylor expansion of 1.0 in l 0.557 * [taylor]: Taking taylor expansion of (/ (sin (* PI l)) (cos (* PI l))) in l 0.558 * [taylor]: Taking taylor expansion of (sin (* PI l)) in l 0.558 * [taylor]: Taking taylor expansion of (* PI l) in l 0.558 * [taylor]: Taking taylor expansion of PI in l 0.558 * [taylor]: Taking taylor expansion of l in l 0.559 * [taylor]: Taking taylor expansion of (cos (* PI l)) in l 0.559 * [taylor]: Taking taylor expansion of (* PI l) in l 0.559 * [taylor]: Taking taylor expansion of PI in l 0.559 * [taylor]: Taking taylor expansion of l in l 0.573 * [taylor]: Taking taylor expansion of 0 in l 0.583 * [taylor]: Taking taylor expansion of 0 in l 0.609 * [taylor]: Taking taylor expansion of 0 in l 0.627 * [taylor]: Taking taylor expansion of 0 in l 0.628 * [approximate]: Taking taylor expansion of (* 1.0 (* (tan (/ PI l)) (pow F 2))) in (F l) around 0 0.628 * [taylor]: Taking taylor expansion of (* 1.0 (* (tan (/ PI l)) (pow F 2))) in l 0.628 * [taylor]: Taking taylor expansion of 1.0 in l 0.629 * [taylor]: Taking taylor expansion of (* (tan (/ PI l)) (pow F 2)) in l 0.629 * [taylor]: Taking taylor expansion of (tan (/ PI l)) in l 0.629 * [taylor]: Rewrote expression to (/ (sin (/ PI l)) (cos (/ PI l))) 0.629 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in l 0.629 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.629 * [taylor]: Taking taylor expansion of PI in l 0.629 * [taylor]: Taking taylor expansion of l in l 0.629 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in l 0.629 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.629 * [taylor]: Taking taylor expansion of PI in l 0.629 * [taylor]: Taking taylor expansion of l in l 0.630 * [taylor]: Taking taylor expansion of (pow F 2) in l 0.630 * [taylor]: Taking taylor expansion of F in l 0.630 * [taylor]: Taking taylor expansion of (* 1.0 (* (tan (/ PI l)) (pow F 2))) in F 0.630 * [taylor]: Taking taylor expansion of 1.0 in F 0.630 * [taylor]: Taking taylor expansion of (* (tan (/ PI l)) (pow F 2)) in F 0.630 * [taylor]: Taking taylor expansion of (tan (/ PI l)) in F 0.630 * [taylor]: Rewrote expression to (/ (sin (/ PI l)) (cos (/ PI l))) 0.630 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in F 0.630 * [taylor]: Taking taylor expansion of (/ PI l) in F 0.630 * [taylor]: Taking taylor expansion of PI in F 0.630 * [taylor]: Taking taylor expansion of l in F 0.630 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in F 0.630 * [taylor]: Taking taylor expansion of (/ PI l) in F 0.630 * [taylor]: Taking taylor expansion of PI in F 0.630 * [taylor]: Taking taylor expansion of l in F 0.631 * [taylor]: Taking taylor expansion of (pow F 2) in F 0.631 * [taylor]: Taking taylor expansion of F in F 0.631 * [taylor]: Taking taylor expansion of (* 1.0 (* (tan (/ PI l)) (pow F 2))) in F 0.631 * [taylor]: Taking taylor expansion of 1.0 in F 0.631 * [taylor]: Taking taylor expansion of (* (tan (/ PI l)) (pow F 2)) in F 0.631 * [taylor]: Taking taylor expansion of (tan (/ PI l)) in F 0.631 * [taylor]: Rewrote expression to (/ (sin (/ PI l)) (cos (/ PI l))) 0.631 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in F 0.631 * [taylor]: Taking taylor expansion of (/ PI l) in F 0.631 * [taylor]: Taking taylor expansion of PI in F 0.631 * [taylor]: Taking taylor expansion of l in F 0.631 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in F 0.631 * [taylor]: Taking taylor expansion of (/ PI l) in F 0.631 * [taylor]: Taking taylor expansion of PI in F 0.631 * [taylor]: Taking taylor expansion of l in F 0.632 * [taylor]: Taking taylor expansion of (pow F 2) in F 0.632 * [taylor]: Taking taylor expansion of F in F 0.632 * [taylor]: Taking taylor expansion of (* 1.0 (/ (sin (/ PI l)) (cos (/ PI l)))) in l 0.632 * [taylor]: Taking taylor expansion of 1.0 in l 0.632 * [taylor]: Taking taylor expansion of (/ (sin (/ PI l)) (cos (/ PI l))) in l 0.632 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in l 0.632 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.632 * [taylor]: Taking taylor expansion of PI in l 0.632 * [taylor]: Taking taylor expansion of l in l 0.633 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in l 0.633 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.633 * [taylor]: Taking taylor expansion of PI in l 0.633 * [taylor]: Taking taylor expansion of l in l 0.639 * [taylor]: Taking taylor expansion of 0 in l 0.646 * [taylor]: Taking taylor expansion of 0 in l 0.654 * [taylor]: Taking taylor expansion of 0 in l 0.655 * [approximate]: Taking taylor expansion of (* 1.0 (* (tan (* -1 (/ PI l))) (pow F 2))) in (F l) around 0 0.655 * [taylor]: Taking taylor expansion of (* 1.0 (* (tan (* -1 (/ PI l))) (pow F 2))) in l 0.655 * [taylor]: Taking taylor expansion of 1.0 in l 0.655 * [taylor]: Taking taylor expansion of (* (tan (* -1 (/ PI l))) (pow F 2)) in l 0.655 * [taylor]: Taking taylor expansion of (tan (* -1 (/ PI l))) in l 0.655 * [taylor]: Rewrote expression to (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 0.655 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in l 0.655 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 0.655 * [taylor]: Taking taylor expansion of -1 in l 0.655 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.655 * [taylor]: Taking taylor expansion of PI in l 0.655 * [taylor]: Taking taylor expansion of l in l 0.656 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in l 0.656 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 0.656 * [taylor]: Taking taylor expansion of -1 in l 0.656 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.656 * [taylor]: Taking taylor expansion of PI in l 0.656 * [taylor]: Taking taylor expansion of l in l 0.656 * [taylor]: Taking taylor expansion of (pow F 2) in l 0.656 * [taylor]: Taking taylor expansion of F in l 0.656 * [taylor]: Taking taylor expansion of (* 1.0 (* (tan (* -1 (/ PI l))) (pow F 2))) in F 0.657 * [taylor]: Taking taylor expansion of 1.0 in F 0.657 * [taylor]: Taking taylor expansion of (* (tan (* -1 (/ PI l))) (pow F 2)) in F 0.657 * [taylor]: Taking taylor expansion of (tan (* -1 (/ PI l))) in F 0.657 * [taylor]: Rewrote expression to (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 0.657 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in F 0.657 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in F 0.657 * [taylor]: Taking taylor expansion of -1 in F 0.657 * [taylor]: Taking taylor expansion of (/ PI l) in F 0.657 * [taylor]: Taking taylor expansion of PI in F 0.657 * [taylor]: Taking taylor expansion of l in F 0.657 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in F 0.657 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in F 0.657 * [taylor]: Taking taylor expansion of -1 in F 0.657 * [taylor]: Taking taylor expansion of (/ PI l) in F 0.657 * [taylor]: Taking taylor expansion of PI in F 0.657 * [taylor]: Taking taylor expansion of l in F 0.660 * [taylor]: Taking taylor expansion of (pow F 2) in F 0.660 * [taylor]: Taking taylor expansion of F in F 0.660 * [taylor]: Taking taylor expansion of (* 1.0 (* (tan (* -1 (/ PI l))) (pow F 2))) in F 0.660 * [taylor]: Taking taylor expansion of 1.0 in F 0.660 * [taylor]: Taking taylor expansion of (* (tan (* -1 (/ PI l))) (pow F 2)) in F 0.660 * [taylor]: Taking taylor expansion of (tan (* -1 (/ PI l))) in F 0.660 * [taylor]: Rewrote expression to (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 0.661 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in F 0.661 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in F 0.661 * [taylor]: Taking taylor expansion of -1 in F 0.661 * [taylor]: Taking taylor expansion of (/ PI l) in F 0.661 * [taylor]: Taking taylor expansion of PI in F 0.661 * [taylor]: Taking taylor expansion of l in F 0.661 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in F 0.661 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in F 0.661 * [taylor]: Taking taylor expansion of -1 in F 0.661 * [taylor]: Taking taylor expansion of (/ PI l) in F 0.661 * [taylor]: Taking taylor expansion of PI in F 0.661 * [taylor]: Taking taylor expansion of l in F 0.662 * [taylor]: Taking taylor expansion of (pow F 2) in F 0.662 * [taylor]: Taking taylor expansion of F in F 0.662 * [taylor]: Taking taylor expansion of (* 1.0 (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l))))) in l 0.662 * [taylor]: Taking taylor expansion of 1.0 in l 0.662 * [taylor]: Taking taylor expansion of (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) in l 0.662 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in l 0.662 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 0.662 * [taylor]: Taking taylor expansion of -1 in l 0.662 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.662 * [taylor]: Taking taylor expansion of PI in l 0.662 * [taylor]: Taking taylor expansion of l in l 0.663 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in l 0.663 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 0.663 * [taylor]: Taking taylor expansion of -1 in l 0.663 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.663 * [taylor]: Taking taylor expansion of PI in l 0.663 * [taylor]: Taking taylor expansion of l in l 0.670 * [taylor]: Taking taylor expansion of 0 in l 0.678 * [taylor]: Taking taylor expansion of 0 in l 0.688 * [taylor]: Taking taylor expansion of 0 in l 0.689 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1) 0.689 * [approximate]: Taking taylor expansion of (* PI l) in (l) around 0 0.689 * [taylor]: Taking taylor expansion of (* PI l) in l 0.689 * [taylor]: Taking taylor expansion of PI in l 0.689 * [taylor]: Taking taylor expansion of l in l 0.689 * [taylor]: Taking taylor expansion of (* PI l) in l 0.689 * [taylor]: Taking taylor expansion of PI in l 0.689 * [taylor]: Taking taylor expansion of l in l 0.695 * [approximate]: Taking taylor expansion of (/ PI l) in (l) around 0 0.695 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.695 * [taylor]: Taking taylor expansion of PI in l 0.695 * [taylor]: Taking taylor expansion of l in l 0.696 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.696 * [taylor]: Taking taylor expansion of PI in l 0.696 * [taylor]: Taking taylor expansion of l in l 0.700 * [approximate]: Taking taylor expansion of (* -1 (/ PI l)) in (l) around 0 0.700 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 0.700 * [taylor]: Taking taylor expansion of -1 in l 0.700 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.700 * [taylor]: Taking taylor expansion of PI in l 0.700 * [taylor]: Taking taylor expansion of l in l 0.700 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 0.700 * [taylor]: Taking taylor expansion of -1 in l 0.700 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.700 * [taylor]: Taking taylor expansion of PI in l 0.700 * [taylor]: Taking taylor expansion of l in l 0.709 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.710 * [approximate]: Taking taylor expansion of (* PI l) in (l) around 0 0.710 * [taylor]: Taking taylor expansion of (* PI l) in l 0.710 * [taylor]: Taking taylor expansion of PI in l 0.710 * [taylor]: Taking taylor expansion of l in l 0.710 * [taylor]: Taking taylor expansion of (* PI l) in l 0.710 * [taylor]: Taking taylor expansion of PI in l 0.710 * [taylor]: Taking taylor expansion of l in l 0.716 * [approximate]: Taking taylor expansion of (/ PI l) in (l) around 0 0.716 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.716 * [taylor]: Taking taylor expansion of PI in l 0.716 * [taylor]: Taking taylor expansion of l in l 0.716 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.716 * [taylor]: Taking taylor expansion of PI in l 0.716 * [taylor]: Taking taylor expansion of l in l 0.720 * [approximate]: Taking taylor expansion of (* -1 (/ PI l)) in (l) around 0 0.720 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 0.720 * [taylor]: Taking taylor expansion of -1 in l 0.720 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.720 * [taylor]: Taking taylor expansion of PI in l 0.720 * [taylor]: Taking taylor expansion of l in l 0.720 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 0.720 * [taylor]: Taking taylor expansion of -1 in l 0.720 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.721 * [taylor]: Taking taylor expansion of PI in l 0.721 * [taylor]: Taking taylor expansion of l in l 0.729 * * * [progress]: simplifying candidates 0.731 * [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 (* 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) (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)))) (* PI l) (* PI l) (* PI l) (* PI l) (* PI l) (* PI l) 0.735 * * [simplify]: iteration 0 : 315 enodes (cost 426 ) 0.742 * * [simplify]: iteration 1 : 1421 enodes (cost 368 ) 0.767 * * [simplify]: iteration 2 : 5002 enodes (cost 367 ) 0.770 * [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 (* 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 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)))) (* PI l) (* PI l) (* PI l) (* PI l) (* PI l) (* PI l) 0.771 * * * [progress]: adding candidates to table 0.990 * * [progress]: iteration 2 / 4 0.990 * * * [progress]: picking best candidate 1.034 * * * * [pick]: Picked # 1.034 * * * [progress]: localizing error 1.045 * * * [progress]: generating rewritten candidates 1.045 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 1.047 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 1.055 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 2 1) 1.059 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.064 * * * [progress]: generating series expansions 1.065 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 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 1.070 * [taylor]: Taking taylor expansion of (tan (* PI l)) in l 1.070 * [taylor]: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) 1.070 * [taylor]: Taking taylor expansion of (sin (* PI l)) 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 (cos (* PI l)) 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 1.120 * [approximate]: Taking taylor expansion of (tan (/ PI l)) in (l) around 0 1.120 * [taylor]: Taking taylor expansion of (tan (/ PI l)) in l 1.120 * [taylor]: Rewrote expression to (/ (sin (/ PI l)) (cos (/ PI l))) 1.120 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in l 1.120 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.120 * [taylor]: Taking taylor expansion of PI in l 1.120 * [taylor]: Taking taylor expansion of l in l 1.120 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in l 1.120 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.121 * [taylor]: Taking taylor expansion of PI in l 1.121 * [taylor]: Taking taylor expansion of l in l 1.121 * [taylor]: Taking taylor expansion of (tan (/ PI l)) in l 1.121 * [taylor]: Rewrote expression to (/ (sin (/ PI l)) (cos (/ PI l))) 1.121 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in l 1.121 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.121 * [taylor]: Taking taylor expansion of PI in l 1.121 * [taylor]: Taking taylor expansion of l in l 1.121 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in l 1.121 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.122 * [taylor]: Taking taylor expansion of PI in l 1.122 * [taylor]: Taking taylor expansion of l in l 1.124 * [approximate]: Taking taylor expansion of (tan (* -1 (/ PI l))) in (l) around 0 1.124 * [taylor]: Taking taylor expansion of (tan (* -1 (/ PI l))) in l 1.124 * [taylor]: Rewrote expression to (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 1.124 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in l 1.124 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.124 * [taylor]: Taking taylor expansion of -1 in l 1.124 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.124 * [taylor]: Taking taylor expansion of PI in l 1.124 * [taylor]: Taking taylor expansion of l in l 1.125 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in l 1.125 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.125 * [taylor]: Taking taylor expansion of -1 in l 1.125 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.125 * [taylor]: Taking taylor expansion of PI in l 1.125 * [taylor]: Taking taylor expansion of l in l 1.126 * [taylor]: Taking taylor expansion of (tan (* -1 (/ PI l))) in l 1.126 * [taylor]: Rewrote expression to (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 1.126 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in l 1.126 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.126 * [taylor]: Taking taylor expansion of -1 in l 1.126 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.126 * [taylor]: Taking taylor expansion of PI in l 1.126 * [taylor]: Taking taylor expansion of l in l 1.127 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in l 1.127 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.127 * [taylor]: Taking taylor expansion of -1 in l 1.127 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.127 * [taylor]: Taking taylor expansion of PI in l 1.127 * [taylor]: Taking taylor expansion of l in l 1.130 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 1.130 * [approximate]: Taking taylor expansion of (* 1.0 (/ (tan (* PI l)) F)) in (F l) around 0 1.130 * [taylor]: Taking taylor expansion of (* 1.0 (/ (tan (* PI l)) F)) in l 1.130 * [taylor]: Taking taylor expansion of 1.0 in l 1.130 * [taylor]: Taking taylor expansion of (/ (tan (* PI l)) F) in l 1.130 * [taylor]: Taking taylor expansion of (tan (* PI l)) in l 1.130 * [taylor]: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) 1.130 * [taylor]: Taking taylor expansion of (sin (* PI l)) in l 1.130 * [taylor]: Taking taylor expansion of (* PI l) in l 1.131 * [taylor]: Taking taylor expansion of PI in l 1.131 * [taylor]: Taking taylor expansion of l in l 1.132 * [taylor]: Taking taylor expansion of (cos (* PI l)) in l 1.132 * [taylor]: Taking taylor expansion of (* PI l) in l 1.132 * [taylor]: Taking taylor expansion of PI in l 1.132 * [taylor]: Taking taylor expansion of l in l 1.135 * [taylor]: Taking taylor expansion of F in l 1.135 * [taylor]: Taking taylor expansion of (* 1.0 (/ (tan (* PI l)) F)) in F 1.135 * [taylor]: Taking taylor expansion of 1.0 in F 1.135 * [taylor]: Taking taylor expansion of (/ (tan (* PI l)) F) in F 1.135 * [taylor]: Taking taylor expansion of (tan (* PI l)) in F 1.135 * [taylor]: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) 1.135 * [taylor]: Taking taylor expansion of (sin (* PI l)) in F 1.135 * [taylor]: Taking taylor expansion of (* PI l) in F 1.135 * [taylor]: Taking taylor expansion of PI in F 1.135 * [taylor]: Taking taylor expansion of l in F 1.135 * [taylor]: Taking taylor expansion of (cos (* PI l)) in F 1.135 * [taylor]: Taking taylor expansion of (* PI l) in F 1.135 * [taylor]: Taking taylor expansion of PI in F 1.135 * [taylor]: Taking taylor expansion of l in F 1.136 * [taylor]: Taking taylor expansion of F in F 1.136 * [taylor]: Taking taylor expansion of (* 1.0 (/ (tan (* PI l)) F)) in F 1.136 * [taylor]: Taking taylor expansion of 1.0 in F 1.136 * [taylor]: Taking taylor expansion of (/ (tan (* PI l)) F) in F 1.136 * [taylor]: Taking taylor expansion of (tan (* PI l)) in F 1.136 * [taylor]: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) 1.136 * [taylor]: Taking taylor expansion of (sin (* PI l)) in F 1.136 * [taylor]: Taking taylor expansion of (* PI l) in F 1.136 * [taylor]: Taking taylor expansion of PI in F 1.136 * [taylor]: Taking taylor expansion of l in F 1.136 * [taylor]: Taking taylor expansion of (cos (* PI l)) in F 1.136 * [taylor]: Taking taylor expansion of (* PI l) in F 1.136 * [taylor]: Taking taylor expansion of PI in F 1.137 * [taylor]: Taking taylor expansion of l in F 1.137 * [taylor]: Taking taylor expansion of F in F 1.137 * [taylor]: Taking taylor expansion of (* 1.0 (/ (sin (* PI l)) (cos (* PI l)))) in l 1.137 * [taylor]: Taking taylor expansion of 1.0 in l 1.137 * [taylor]: Taking taylor expansion of (/ (sin (* PI l)) (cos (* PI l))) in l 1.137 * [taylor]: Taking taylor expansion of (sin (* PI l)) in l 1.137 * [taylor]: Taking taylor expansion of (* PI l) in l 1.138 * [taylor]: Taking taylor expansion of PI in l 1.138 * [taylor]: Taking taylor expansion of l in l 1.139 * [taylor]: Taking taylor expansion of (cos (* PI l)) in l 1.139 * [taylor]: Taking taylor expansion of (* PI l) in l 1.139 * [taylor]: Taking taylor expansion of PI in l 1.139 * [taylor]: Taking taylor expansion of l in l 1.148 * [taylor]: Taking taylor expansion of 0 in l 1.157 * [taylor]: Taking taylor expansion of 0 in l 1.185 * [taylor]: Taking taylor expansion of 0 in l 1.202 * [taylor]: Taking taylor expansion of 0 in l 1.203 * [approximate]: Taking taylor expansion of (* 1.0 (* (tan (/ PI l)) F)) in (F l) around 0 1.203 * [taylor]: Taking taylor expansion of (* 1.0 (* (tan (/ PI l)) F)) in l 1.204 * [taylor]: Taking taylor expansion of 1.0 in l 1.204 * [taylor]: Taking taylor expansion of (* (tan (/ PI l)) F) in l 1.204 * [taylor]: Taking taylor expansion of (tan (/ PI l)) in l 1.204 * [taylor]: Rewrote expression to (/ (sin (/ PI l)) (cos (/ PI l))) 1.204 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in l 1.204 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.204 * [taylor]: Taking taylor expansion of PI in l 1.204 * [taylor]: Taking taylor expansion of l in l 1.204 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in l 1.204 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.204 * [taylor]: Taking taylor expansion of PI in l 1.204 * [taylor]: Taking taylor expansion of l in l 1.205 * [taylor]: Taking taylor expansion of F in l 1.205 * [taylor]: Taking taylor expansion of (* 1.0 (* (tan (/ PI l)) F)) in F 1.205 * [taylor]: Taking taylor expansion of 1.0 in F 1.205 * [taylor]: Taking taylor expansion of (* (tan (/ PI l)) F) in F 1.205 * [taylor]: Taking taylor expansion of (tan (/ PI l)) in F 1.205 * [taylor]: Rewrote expression to (/ (sin (/ PI l)) (cos (/ PI l))) 1.205 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in F 1.205 * [taylor]: Taking taylor expansion of (/ PI l) in F 1.205 * [taylor]: Taking taylor expansion of PI in F 1.205 * [taylor]: Taking taylor expansion of l in F 1.205 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in F 1.205 * [taylor]: Taking taylor expansion of (/ PI l) in F 1.205 * [taylor]: Taking taylor expansion of PI in F 1.205 * [taylor]: Taking taylor expansion of l in F 1.206 * [taylor]: Taking taylor expansion of F in F 1.206 * [taylor]: Taking taylor expansion of (* 1.0 (* (tan (/ PI l)) F)) in F 1.206 * [taylor]: Taking taylor expansion of 1.0 in F 1.206 * [taylor]: Taking taylor expansion of (* (tan (/ PI l)) F) in F 1.206 * [taylor]: Taking taylor expansion of (tan (/ PI l)) in F 1.206 * [taylor]: Rewrote expression to (/ (sin (/ PI l)) (cos (/ PI l))) 1.206 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in F 1.206 * [taylor]: Taking taylor expansion of (/ PI l) in F 1.206 * [taylor]: Taking taylor expansion of PI in F 1.206 * [taylor]: Taking taylor expansion of l in F 1.206 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in F 1.206 * [taylor]: Taking taylor expansion of (/ PI l) in F 1.206 * [taylor]: Taking taylor expansion of PI in F 1.206 * [taylor]: Taking taylor expansion of l in F 1.207 * [taylor]: Taking taylor expansion of F in F 1.207 * [taylor]: Taking taylor expansion of 0 in l 1.211 * [taylor]: Taking taylor expansion of (* 1.0 (/ (sin (/ PI l)) (cos (/ PI l)))) in l 1.211 * [taylor]: Taking taylor expansion of 1.0 in l 1.211 * [taylor]: Taking taylor expansion of (/ (sin (/ PI l)) (cos (/ PI l))) in l 1.212 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in l 1.212 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.212 * [taylor]: Taking taylor expansion of PI in l 1.212 * [taylor]: Taking taylor expansion of l in l 1.212 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in l 1.212 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.212 * [taylor]: Taking taylor expansion of PI in l 1.212 * [taylor]: Taking taylor expansion of l in l 1.218 * [taylor]: Taking taylor expansion of 0 in l 1.226 * [taylor]: Taking taylor expansion of 0 in l 1.227 * [approximate]: Taking taylor expansion of (* -1.0 (* (tan (* -1 (/ PI l))) F)) in (F l) around 0 1.227 * [taylor]: Taking taylor expansion of (* -1.0 (* (tan (* -1 (/ PI l))) F)) in l 1.227 * [taylor]: Taking taylor expansion of -1.0 in l 1.227 * [taylor]: Taking taylor expansion of (* (tan (* -1 (/ PI l))) F) in l 1.227 * [taylor]: Taking taylor expansion of (tan (* -1 (/ PI l))) in l 1.227 * [taylor]: Rewrote expression to (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 1.227 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in l 1.227 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.227 * [taylor]: Taking taylor expansion of -1 in l 1.227 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.227 * [taylor]: Taking taylor expansion of PI in l 1.227 * [taylor]: Taking taylor expansion of l in l 1.228 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in l 1.228 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.228 * [taylor]: Taking taylor expansion of -1 in l 1.228 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.228 * [taylor]: Taking taylor expansion of PI in l 1.228 * [taylor]: Taking taylor expansion of l in l 1.228 * [taylor]: Taking taylor expansion of F in l 1.228 * [taylor]: Taking taylor expansion of (* -1.0 (* (tan (* -1 (/ PI l))) F)) in F 1.228 * [taylor]: Taking taylor expansion of -1.0 in F 1.228 * [taylor]: Taking taylor expansion of (* (tan (* -1 (/ PI l))) F) in F 1.228 * [taylor]: Taking taylor expansion of (tan (* -1 (/ PI l))) in F 1.229 * [taylor]: Rewrote expression to (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 1.229 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in F 1.229 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in F 1.229 * [taylor]: Taking taylor expansion of -1 in F 1.229 * [taylor]: Taking taylor expansion of (/ PI l) in F 1.229 * [taylor]: Taking taylor expansion of PI in F 1.229 * [taylor]: Taking taylor expansion of l in F 1.229 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in F 1.229 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in F 1.229 * [taylor]: Taking taylor expansion of -1 in F 1.229 * [taylor]: Taking taylor expansion of (/ PI l) in F 1.229 * [taylor]: Taking taylor expansion of PI in F 1.229 * [taylor]: Taking taylor expansion of l in F 1.230 * [taylor]: Taking taylor expansion of F in F 1.230 * [taylor]: Taking taylor expansion of (* -1.0 (* (tan (* -1 (/ PI l))) F)) in F 1.230 * [taylor]: Taking taylor expansion of -1.0 in F 1.230 * [taylor]: Taking taylor expansion of (* (tan (* -1 (/ PI l))) F) in F 1.230 * [taylor]: Taking taylor expansion of (tan (* -1 (/ PI l))) in F 1.230 * [taylor]: Rewrote expression to (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 1.230 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in F 1.230 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in F 1.230 * [taylor]: Taking taylor expansion of -1 in F 1.230 * [taylor]: Taking taylor expansion of (/ PI l) in F 1.230 * [taylor]: Taking taylor expansion of PI in F 1.230 * [taylor]: Taking taylor expansion of l in F 1.230 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in F 1.230 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in F 1.230 * [taylor]: Taking taylor expansion of -1 in F 1.230 * [taylor]: Taking taylor expansion of (/ PI l) in F 1.230 * [taylor]: Taking taylor expansion of PI in F 1.230 * [taylor]: Taking taylor expansion of l in F 1.231 * [taylor]: Taking taylor expansion of F in F 1.231 * [taylor]: Taking taylor expansion of 0 in l 1.237 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))))) in l 1.237 * [taylor]: Taking taylor expansion of (* 1.0 (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l))))) in l 1.237 * [taylor]: Taking taylor expansion of 1.0 in l 1.237 * [taylor]: Taking taylor expansion of (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) in l 1.237 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in l 1.237 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.237 * [taylor]: Taking taylor expansion of -1 in l 1.237 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.237 * [taylor]: Taking taylor expansion of PI in l 1.237 * [taylor]: Taking taylor expansion of l in l 1.238 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in l 1.238 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.238 * [taylor]: Taking taylor expansion of -1 in l 1.238 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.238 * [taylor]: Taking taylor expansion of PI in l 1.238 * [taylor]: Taking taylor expansion of l in l 1.246 * [taylor]: Taking taylor expansion of 0 in l 1.256 * [taylor]: Taking taylor expansion of 0 in l 1.256 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 2 1) 1.256 * [approximate]: Taking taylor expansion of (* PI l) in (l) around 0 1.256 * [taylor]: Taking taylor expansion of (* PI l) in l 1.256 * [taylor]: Taking taylor expansion of PI in l 1.256 * [taylor]: Taking taylor expansion of l in l 1.256 * [taylor]: Taking taylor expansion of (* PI l) in l 1.256 * [taylor]: Taking taylor expansion of PI in l 1.257 * [taylor]: Taking taylor expansion of l in l 1.262 * [approximate]: Taking taylor expansion of (/ PI l) in (l) around 0 1.262 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.262 * [taylor]: Taking taylor expansion of PI in l 1.262 * [taylor]: Taking taylor expansion of l in l 1.263 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.263 * [taylor]: Taking taylor expansion of PI in l 1.263 * [taylor]: Taking taylor expansion of l in l 1.270 * [approximate]: Taking taylor expansion of (* -1 (/ PI l)) in (l) around 0 1.270 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.270 * [taylor]: Taking taylor expansion of -1 in l 1.270 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.270 * [taylor]: Taking taylor expansion of PI in l 1.270 * [taylor]: Taking taylor expansion of l in l 1.270 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.270 * [taylor]: Taking taylor expansion of -1 in l 1.270 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.270 * [taylor]: Taking taylor expansion of PI in l 1.270 * [taylor]: Taking taylor expansion of l in l 1.279 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.279 * [approximate]: Taking taylor expansion of (* PI l) in (l) around 0 1.279 * [taylor]: Taking taylor expansion of (* PI l) in l 1.279 * [taylor]: Taking taylor expansion of PI in l 1.279 * [taylor]: Taking taylor expansion of l in l 1.279 * [taylor]: Taking taylor expansion of (* PI l) in l 1.279 * [taylor]: Taking taylor expansion of PI in l 1.279 * [taylor]: Taking taylor expansion of l in l 1.285 * [approximate]: Taking taylor expansion of (/ PI l) in (l) around 0 1.285 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.285 * [taylor]: Taking taylor expansion of PI in l 1.285 * [taylor]: Taking taylor expansion of l in l 1.286 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.286 * [taylor]: Taking taylor expansion of PI in l 1.286 * [taylor]: Taking taylor expansion of l in l 1.290 * [approximate]: Taking taylor expansion of (* -1 (/ PI l)) in (l) around 0 1.290 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.290 * [taylor]: Taking taylor expansion of -1 in l 1.290 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.290 * [taylor]: Taking taylor expansion of PI in l 1.290 * [taylor]: Taking taylor expansion of l in l 1.290 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.290 * [taylor]: Taking taylor expansion of -1 in l 1.290 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.290 * [taylor]: Taking taylor expansion of PI in l 1.290 * [taylor]: Taking taylor expansion of l in l 1.299 * * * [progress]: simplifying candidates 1.300 * [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) 1.305 * * [simplify]: iteration 0 : 286 enodes (cost 403 ) 1.310 * * [simplify]: iteration 1 : 1032 enodes (cost 363 ) 1.328 * * [simplify]: iteration 2 : 3928 enodes (cost 361 ) 1.385 * * [simplify]: iteration 3 : 5001 enodes (cost 360 ) 1.388 * [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) 1.388 * * * [progress]: adding candidates to table 1.632 * * [progress]: iteration 3 / 4 1.632 * * * [progress]: picking best candidate 1.680 * * * * [pick]: Picked # 1.680 * * * [progress]: localizing error 1.694 * * * [progress]: generating rewritten candidates 1.694 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 1.697 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 1 2 1) 1.699 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 2 1 1) 1.700 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 2 1) 1.709 * * * [progress]: generating series expansions 1.709 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 1.710 * [approximate]: Taking taylor expansion of (tan (* PI l)) in (l) around 0 1.710 * [taylor]: Taking taylor expansion of (tan (* PI l)) in l 1.710 * [taylor]: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) 1.710 * [taylor]: Taking taylor expansion of (sin (* PI l)) in l 1.710 * [taylor]: Taking taylor expansion of (* PI l) in l 1.710 * [taylor]: Taking taylor expansion of PI in l 1.710 * [taylor]: Taking taylor expansion of l in l 1.711 * [taylor]: Taking taylor expansion of (cos (* PI l)) in l 1.711 * [taylor]: Taking taylor expansion of (* PI l) in l 1.711 * [taylor]: Taking taylor expansion of PI in l 1.711 * [taylor]: Taking taylor expansion of l in l 1.715 * [taylor]: Taking taylor expansion of (tan (* PI l)) in l 1.715 * [taylor]: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) 1.715 * [taylor]: Taking taylor expansion of (sin (* PI l)) in l 1.715 * [taylor]: Taking taylor expansion of (* PI l) in l 1.715 * [taylor]: Taking taylor expansion of PI in l 1.715 * [taylor]: Taking taylor expansion of l in l 1.716 * [taylor]: Taking taylor expansion of (cos (* PI l)) in l 1.716 * [taylor]: Taking taylor expansion of (* PI l) in l 1.716 * [taylor]: Taking taylor expansion of PI in l 1.716 * [taylor]: Taking taylor expansion of l in l 1.765 * [approximate]: Taking taylor expansion of (tan (/ PI l)) in (l) around 0 1.765 * [taylor]: Taking taylor expansion of (tan (/ PI l)) in l 1.765 * [taylor]: Rewrote expression to (/ (sin (/ PI l)) (cos (/ PI l))) 1.765 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in l 1.765 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.765 * [taylor]: Taking taylor expansion of PI in l 1.765 * [taylor]: Taking taylor expansion of l in l 1.766 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in l 1.766 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.766 * [taylor]: Taking taylor expansion of PI in l 1.766 * [taylor]: Taking taylor expansion of l in l 1.766 * [taylor]: Taking taylor expansion of (tan (/ PI l)) in l 1.766 * [taylor]: Rewrote expression to (/ (sin (/ PI l)) (cos (/ PI l))) 1.766 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in l 1.766 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.766 * [taylor]: Taking taylor expansion of PI in l 1.766 * [taylor]: Taking taylor expansion of l in l 1.767 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in l 1.767 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.767 * [taylor]: Taking taylor expansion of PI in l 1.767 * [taylor]: Taking taylor expansion of l in l 1.770 * [approximate]: Taking taylor expansion of (tan (* -1 (/ PI l))) in (l) around 0 1.770 * [taylor]: Taking taylor expansion of (tan (* -1 (/ PI l))) in l 1.770 * [taylor]: Rewrote expression to (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 1.770 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in l 1.770 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.770 * [taylor]: Taking taylor expansion of -1 in l 1.770 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.770 * [taylor]: Taking taylor expansion of PI in l 1.770 * [taylor]: Taking taylor expansion of l in l 1.771 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in l 1.771 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.771 * [taylor]: Taking taylor expansion of -1 in l 1.771 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.771 * [taylor]: Taking taylor expansion of PI in l 1.771 * [taylor]: Taking taylor expansion of l in l 1.772 * [taylor]: Taking taylor expansion of (tan (* -1 (/ PI l))) in l 1.772 * [taylor]: Rewrote expression to (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 1.772 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in l 1.772 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.772 * [taylor]: Taking taylor expansion of -1 in l 1.772 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.772 * [taylor]: Taking taylor expansion of PI in l 1.772 * [taylor]: Taking taylor expansion of l in l 1.773 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in l 1.773 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.773 * [taylor]: Taking taylor expansion of -1 in l 1.773 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.773 * [taylor]: Taking taylor expansion of PI in l 1.773 * [taylor]: Taking taylor expansion of l in l 1.776 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 1 2 1) 1.776 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 2 1 1) 1.776 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 2 1) 1.777 * [approximate]: Taking taylor expansion of (* PI l) in (l) around 0 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 (* PI l) in l 1.777 * [taylor]: Taking taylor expansion of PI in l 1.777 * [taylor]: Taking taylor expansion of l in l 1.783 * [approximate]: Taking taylor expansion of (/ PI l) in (l) around 0 1.783 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.784 * [taylor]: Taking taylor expansion of PI in l 1.784 * [taylor]: Taking taylor expansion of l in l 1.784 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.784 * [taylor]: Taking taylor expansion of PI in l 1.784 * [taylor]: Taking taylor expansion of l in l 1.789 * [approximate]: Taking taylor expansion of (* -1 (/ PI l)) in (l) around 0 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 1.789 * [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 1.798 * * * [progress]: simplifying candidates 1.799 * [simplify]: Simplifying using # : (expm1 (tan (* (sqrt PI) (* (sqrt PI) l)))) (log1p (tan (* (sqrt PI) (* (sqrt PI) l)))) (sin (* (sqrt PI) (* (sqrt PI) l))) (cos (* (sqrt PI) (* (sqrt PI) l))) (log (tan (* (sqrt PI) (* (sqrt PI) l)))) (exp (tan (* (sqrt PI) (* (sqrt PI) l)))) (* (cbrt (tan (* (sqrt PI) (* (sqrt PI) l)))) (cbrt (tan (* (sqrt PI) (* (sqrt PI) l))))) (cbrt (tan (* (sqrt PI) (* (sqrt PI) l)))) (* (* (tan (* (sqrt PI) (* (sqrt PI) l))) (tan (* (sqrt PI) (* (sqrt PI) l)))) (tan (* (sqrt PI) (* (sqrt PI) l)))) (sqrt (tan (* (sqrt PI) (* (sqrt PI) l)))) (sqrt (tan (* (sqrt PI) (* (sqrt PI) l)))) (expm1 (sqrt PI)) (log1p (sqrt PI)) (log (sqrt PI)) (exp (sqrt PI)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (cbrt (sqrt PI)) (* (* (sqrt PI) (sqrt PI)) (sqrt PI)) (sqrt (* (cbrt PI) (cbrt PI))) (sqrt (cbrt PI)) (sqrt (sqrt PI)) (sqrt (sqrt PI)) (sqrt 1) (sqrt PI) (/ 1 2) (sqrt (sqrt PI)) (sqrt (sqrt PI)) (expm1 (sqrt PI)) (log1p (sqrt PI)) (log (sqrt PI)) (exp (sqrt PI)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (cbrt (sqrt PI)) (* (* (sqrt PI) (sqrt PI)) (sqrt PI)) (sqrt (* (cbrt PI) (cbrt PI))) (sqrt (cbrt PI)) (sqrt (sqrt PI)) (sqrt (sqrt PI)) (sqrt 1) (sqrt PI) (/ 1 2) (sqrt (sqrt PI)) (sqrt (sqrt PI)) (expm1 (* (sqrt PI) (* (sqrt PI) l))) (log1p (* (sqrt PI) (* (sqrt PI) l))) (* (sqrt PI) (* (sqrt PI) l)) (* (sqrt PI) (* (sqrt PI) l)) (+ (log (sqrt PI)) (+ (log (sqrt PI)) (log l))) (+ (log (sqrt PI)) (log (* (sqrt PI) l))) (log (* (sqrt PI) (* (sqrt PI) l))) (exp (* (sqrt PI) (* (sqrt PI) l))) (* (* (* (sqrt PI) (sqrt PI)) (sqrt PI)) (* (* (* (sqrt PI) (sqrt PI)) (sqrt PI)) (* (* l l) l))) (* (* (* (sqrt PI) (sqrt PI)) (sqrt PI)) (* (* (* (sqrt PI) l) (* (sqrt PI) l)) (* (sqrt PI) l))) (* (cbrt (* (sqrt PI) (* (sqrt PI) l))) (cbrt (* (sqrt PI) (* (sqrt PI) l)))) (cbrt (* (sqrt PI) (* (sqrt PI) l))) (* (* (* (sqrt PI) (* (sqrt PI) l)) (* (sqrt PI) (* (sqrt PI) l))) (* (sqrt PI) (* (sqrt PI) l))) (sqrt (* (sqrt PI) (* (sqrt PI) l))) (sqrt (* (sqrt PI) (* (sqrt PI) l))) (* (sqrt PI) (sqrt PI)) (* (cbrt (sqrt PI)) (* (sqrt PI) l)) (* (sqrt (cbrt PI)) (* (sqrt PI) l)) (* (sqrt (sqrt PI)) (* (sqrt PI) l)) (* (sqrt PI) (* (sqrt PI) l)) (* (sqrt (sqrt PI)) (* (sqrt PI) l)) (* (sqrt PI) (* (sqrt 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))) (* (sqrt PI) l) (* (sqrt PI) l) (* PI l) (* PI l) (* PI l) 1.803 * * [simplify]: iteration 0 : 158 enodes (cost 264 ) 1.806 * * [simplify]: iteration 1 : 501 enodes (cost 230 ) 1.816 * * [simplify]: iteration 2 : 1518 enodes (cost 229 ) 1.845 * * [simplify]: iteration 3 : 5001 enodes (cost 229 ) 1.847 * [simplify]: Simplified to: (expm1 (tan (* (sqrt PI) (* (sqrt PI) l)))) (log1p (tan (* (sqrt PI) (* (sqrt PI) l)))) (sin (* PI l)) (cos (* PI l)) (log (tan (* (sqrt PI) (* (sqrt PI) l)))) (exp (tan (* (sqrt PI) (* (sqrt PI) l)))) (* (cbrt (tan (* (sqrt PI) (* (sqrt PI) l)))) (cbrt (tan (* (sqrt PI) (* (sqrt PI) l))))) (cbrt (tan (* (sqrt PI) (* (sqrt PI) l)))) (pow (tan (* (sqrt PI) (* (sqrt PI) l))) 3) (sqrt (tan (* (sqrt PI) (* (sqrt PI) l)))) (sqrt (tan (* (sqrt PI) (* (sqrt PI) l)))) (expm1 (sqrt PI)) (log1p (sqrt PI)) (log (sqrt PI)) (exp (sqrt PI)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (cbrt (sqrt PI)) (* (sqrt PI) PI) (fabs (cbrt PI)) (sqrt (cbrt PI)) (sqrt (sqrt PI)) (sqrt (sqrt PI)) (sqrt 1) (sqrt PI) 1/2 (sqrt (sqrt PI)) (sqrt (sqrt PI)) (expm1 (sqrt PI)) (log1p (sqrt PI)) (log (sqrt PI)) (exp (sqrt PI)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (cbrt (sqrt PI)) (* (sqrt PI) PI) (fabs (cbrt PI)) (sqrt (cbrt PI)) (sqrt (sqrt PI)) (sqrt (sqrt PI)) (sqrt 1) (sqrt PI) 1/2 (sqrt (sqrt PI)) (sqrt (sqrt PI)) (expm1 (* (sqrt PI) (* (sqrt PI) l))) (log1p (* (sqrt PI) (* (sqrt PI) l))) (* PI l) (* PI l) (+ (log PI) (log l)) (+ (log PI) (log l)) (+ (log PI) (log l)) (pow (exp PI) l) (pow (* PI l) 3) (pow (* PI l) 3) (* (cbrt (* (sqrt PI) (* (sqrt PI) l))) (cbrt (* (sqrt PI) (* (sqrt PI) l)))) (cbrt (* (sqrt PI) (* (sqrt PI) l))) (pow (* PI l) 3) (sqrt (* (sqrt PI) (* (sqrt PI) l))) (sqrt (* (sqrt PI) (* (sqrt PI) l))) PI (* (cbrt (sqrt PI)) (* (sqrt PI) l)) (* (sqrt (cbrt PI)) (* (sqrt PI) l)) (* (sqrt (sqrt PI)) (* (sqrt PI) l)) (* PI l) (* (sqrt (sqrt PI)) (* (sqrt PI) l)) (* PI l) (fma (* 2/15 (pow l 5)) (pow PI 5) (fma 1/3 (pow (* PI l) 3) (* PI l))) (/ (sin (* PI l)) (cos (* PI l))) (/ (sin (* PI l)) (cos (* PI l))) (* (sqrt PI) l) (* (sqrt PI) l) (* PI l) (* PI l) (* PI l) 1.847 * * * [progress]: adding candidates to table 2.049 * * [progress]: iteration 4 / 4 2.049 * * * [progress]: picking best candidate 2.095 * * * * [pick]: Picked # 2.095 * * * [progress]: localizing error 2.113 * * * [progress]: generating rewritten candidates 2.113 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 2.116 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 1 2 1) 2.117 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 2 1 2 1 1 1) 2.119 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 2 1 1) 2.121 * * * [progress]: generating series expansions 2.121 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 2.123 * [approximate]: Taking taylor expansion of (tan (* (* (expm1 (log1p (sqrt PI))) l) (sqrt PI))) in (l) around 0 2.123 * [taylor]: Taking taylor expansion of (tan (* (* (expm1 (log1p (sqrt PI))) l) (sqrt PI))) in l 2.123 * [taylor]: Rewrote expression to (/ (sin (* (* (expm1 (log1p (sqrt PI))) l) (sqrt PI))) (cos (* (* (expm1 (log1p (sqrt PI))) l) (sqrt PI)))) 2.123 * [taylor]: Taking taylor expansion of (sin (* (* (expm1 (log1p (sqrt PI))) l) (sqrt PI))) in l 2.123 * [taylor]: Taking taylor expansion of (* (* (expm1 (log1p (sqrt PI))) l) (sqrt PI)) in l 2.123 * [taylor]: Taking taylor expansion of (* (expm1 (log1p (sqrt PI))) l) in l 2.123 * [taylor]: Taking taylor expansion of (expm1 (log1p (sqrt PI))) in l 2.123 * [taylor]: Rewrote expression to (- (exp (log1p (sqrt PI))) 1) 2.123 * [taylor]: Taking taylor expansion of (exp (log1p (sqrt PI))) in l 2.123 * [taylor]: Taking taylor expansion of (log1p (sqrt PI)) in l 2.123 * [taylor]: Rewrote expression to (log (+ 1 (sqrt PI))) 2.123 * [taylor]: Taking taylor expansion of (+ 1 (sqrt PI)) in l 2.123 * [taylor]: Taking taylor expansion of 1 in l 2.123 * [taylor]: Taking taylor expansion of (sqrt PI) in l 2.123 * [taylor]: Taking taylor expansion of PI in l 2.127 * [taylor]: Taking taylor expansion of 1 in l 2.127 * [taylor]: Taking taylor expansion of l in l 2.127 * [taylor]: Taking taylor expansion of (sqrt PI) in l 2.127 * [taylor]: Taking taylor expansion of PI in l 2.136 * [taylor]: Taking taylor expansion of (cos (* (* (expm1 (log1p (sqrt PI))) l) (sqrt PI))) in l 2.136 * [taylor]: Taking taylor expansion of (* (* (expm1 (log1p (sqrt PI))) l) (sqrt PI)) in l 2.136 * [taylor]: Taking taylor expansion of (* (expm1 (log1p (sqrt PI))) l) in l 2.136 * [taylor]: Taking taylor expansion of (expm1 (log1p (sqrt PI))) in l 2.136 * [taylor]: Rewrote expression to (- (exp (log1p (sqrt PI))) 1) 2.136 * [taylor]: Taking taylor expansion of (exp (log1p (sqrt PI))) in l 2.136 * [taylor]: Taking taylor expansion of (log1p (sqrt PI)) in l 2.136 * [taylor]: Rewrote expression to (log (+ 1 (sqrt PI))) 2.136 * [taylor]: Taking taylor expansion of (+ 1 (sqrt PI)) in l 2.136 * [taylor]: Taking taylor expansion of 1 in l 2.136 * [taylor]: Taking taylor expansion of (sqrt PI) in l 2.136 * [taylor]: Taking taylor expansion of PI in l 2.140 * [taylor]: Taking taylor expansion of 1 in l 2.140 * [taylor]: Taking taylor expansion of l in l 2.140 * [taylor]: Taking taylor expansion of (sqrt PI) in l 2.140 * [taylor]: Taking taylor expansion of PI in l 2.150 * [taylor]: Taking taylor expansion of (tan (* (* (expm1 (log1p (sqrt PI))) l) (sqrt PI))) in l 2.150 * [taylor]: Rewrote expression to (/ (sin (* (* (expm1 (log1p (sqrt PI))) l) (sqrt PI))) (cos (* (* (expm1 (log1p (sqrt PI))) l) (sqrt PI)))) 2.150 * [taylor]: Taking taylor expansion of (sin (* (* (expm1 (log1p (sqrt PI))) l) (sqrt PI))) in l 2.150 * [taylor]: Taking taylor expansion of (* (* (expm1 (log1p (sqrt PI))) l) (sqrt PI)) in l 2.150 * [taylor]: Taking taylor expansion of (* (expm1 (log1p (sqrt PI))) l) in l 2.150 * [taylor]: Taking taylor expansion of (expm1 (log1p (sqrt PI))) in l 2.150 * [taylor]: Rewrote expression to (- (exp (log1p (sqrt PI))) 1) 2.150 * [taylor]: Taking taylor expansion of (exp (log1p (sqrt PI))) in l 2.150 * [taylor]: Taking taylor expansion of (log1p (sqrt PI)) in l 2.150 * [taylor]: Rewrote expression to (log (+ 1 (sqrt PI))) 2.150 * [taylor]: Taking taylor expansion of (+ 1 (sqrt PI)) in l 2.150 * [taylor]: Taking taylor expansion of 1 in l 2.150 * [taylor]: Taking taylor expansion of (sqrt PI) in l 2.150 * [taylor]: Taking taylor expansion of PI in l 2.154 * [taylor]: Taking taylor expansion of 1 in l 2.154 * [taylor]: Taking taylor expansion of l in l 2.154 * [taylor]: Taking taylor expansion of (sqrt PI) in l 2.154 * [taylor]: Taking taylor expansion of PI in l 2.162 * [taylor]: Taking taylor expansion of (cos (* (* (expm1 (log1p (sqrt PI))) l) (sqrt PI))) in l 2.162 * [taylor]: Taking taylor expansion of (* (* (expm1 (log1p (sqrt PI))) l) (sqrt PI)) in l 2.162 * [taylor]: Taking taylor expansion of (* (expm1 (log1p (sqrt PI))) l) in l 2.162 * [taylor]: Taking taylor expansion of (expm1 (log1p (sqrt PI))) in l 2.162 * [taylor]: Rewrote expression to (- (exp (log1p (sqrt PI))) 1) 2.162 * [taylor]: Taking taylor expansion of (exp (log1p (sqrt PI))) in l 2.162 * [taylor]: Taking taylor expansion of (log1p (sqrt PI)) in l 2.162 * [taylor]: Rewrote expression to (log (+ 1 (sqrt PI))) 2.162 * [taylor]: Taking taylor expansion of (+ 1 (sqrt PI)) in l 2.162 * [taylor]: Taking taylor expansion of 1 in l 2.162 * [taylor]: Taking taylor expansion of (sqrt PI) in l 2.162 * [taylor]: Taking taylor expansion of PI in l 2.166 * [taylor]: Taking taylor expansion of 1 in l 2.166 * [taylor]: Taking taylor expansion of l in l 2.166 * [taylor]: Taking taylor expansion of (sqrt PI) in l 2.166 * [taylor]: Taking taylor expansion of PI in l 2.277 * [approximate]: Taking taylor expansion of (tan (* (/ (expm1 (log1p (sqrt PI))) l) (sqrt PI))) in (l) around 0 2.277 * [taylor]: Taking taylor expansion of (tan (* (/ (expm1 (log1p (sqrt PI))) l) (sqrt PI))) in l 2.278 * [taylor]: Rewrote expression to (/ (sin (* (/ (expm1 (log1p (sqrt PI))) l) (sqrt PI))) (cos (* (/ (expm1 (log1p (sqrt PI))) l) (sqrt PI)))) 2.278 * [taylor]: Taking taylor expansion of (sin (* (/ (expm1 (log1p (sqrt PI))) l) (sqrt PI))) in l 2.278 * [taylor]: Taking taylor expansion of (* (/ (expm1 (log1p (sqrt PI))) l) (sqrt PI)) in l 2.278 * [taylor]: Taking taylor expansion of (/ (expm1 (log1p (sqrt PI))) l) in l 2.278 * [taylor]: Taking taylor expansion of (expm1 (log1p (sqrt PI))) in l 2.278 * [taylor]: Rewrote expression to (- (exp (log1p (sqrt PI))) 1) 2.278 * [taylor]: Taking taylor expansion of (exp (log1p (sqrt PI))) in l 2.278 * [taylor]: Taking taylor expansion of (log1p (sqrt PI)) in l 2.278 * [taylor]: Rewrote expression to (log (+ 1 (sqrt PI))) 2.278 * [taylor]: Taking taylor expansion of (+ 1 (sqrt PI)) in l 2.278 * [taylor]: Taking taylor expansion of 1 in l 2.278 * [taylor]: Taking taylor expansion of (sqrt PI) in l 2.278 * [taylor]: Taking taylor expansion of PI in l 2.282 * [taylor]: Taking taylor expansion of 1 in l 2.282 * [taylor]: Taking taylor expansion of l in l 2.284 * [taylor]: Taking taylor expansion of (sqrt PI) in l 2.284 * [taylor]: Taking taylor expansion of PI in l 2.286 * [taylor]: Taking taylor expansion of (cos (* (/ (expm1 (log1p (sqrt PI))) l) (sqrt PI))) in l 2.287 * [taylor]: Taking taylor expansion of (* (/ (expm1 (log1p (sqrt PI))) l) (sqrt PI)) in l 2.287 * [taylor]: Taking taylor expansion of (/ (expm1 (log1p (sqrt PI))) l) in l 2.287 * [taylor]: Taking taylor expansion of (expm1 (log1p (sqrt PI))) in l 2.287 * [taylor]: Rewrote expression to (- (exp (log1p (sqrt PI))) 1) 2.287 * [taylor]: Taking taylor expansion of (exp (log1p (sqrt PI))) in l 2.287 * [taylor]: Taking taylor expansion of (log1p (sqrt PI)) in l 2.287 * [taylor]: Rewrote expression to (log (+ 1 (sqrt PI))) 2.287 * [taylor]: Taking taylor expansion of (+ 1 (sqrt PI)) in l 2.287 * [taylor]: Taking taylor expansion of 1 in l 2.287 * [taylor]: Taking taylor expansion of (sqrt PI) in l 2.287 * [taylor]: Taking taylor expansion of PI in l 2.291 * [taylor]: Taking taylor expansion of 1 in l 2.291 * [taylor]: Taking taylor expansion of l in l 2.293 * [taylor]: Taking taylor expansion of (sqrt PI) in l 2.293 * [taylor]: Taking taylor expansion of PI in l 2.298 * [taylor]: Taking taylor expansion of (tan (* (/ (expm1 (log1p (sqrt PI))) l) (sqrt PI))) in l 2.299 * [taylor]: Rewrote expression to (/ (sin (* (/ (expm1 (log1p (sqrt PI))) l) (sqrt PI))) (cos (* (/ (expm1 (log1p (sqrt PI))) l) (sqrt PI)))) 2.299 * [taylor]: Taking taylor expansion of (sin (* (/ (expm1 (log1p (sqrt PI))) l) (sqrt PI))) in l 2.299 * [taylor]: Taking taylor expansion of (* (/ (expm1 (log1p (sqrt PI))) l) (sqrt PI)) in l 2.299 * [taylor]: Taking taylor expansion of (/ (expm1 (log1p (sqrt PI))) l) in l 2.299 * [taylor]: Taking taylor expansion of (expm1 (log1p (sqrt PI))) in l 2.299 * [taylor]: Rewrote expression to (- (exp (log1p (sqrt PI))) 1) 2.299 * [taylor]: Taking taylor expansion of (exp (log1p (sqrt PI))) in l 2.299 * [taylor]: Taking taylor expansion of (log1p (sqrt PI)) in l 2.299 * [taylor]: Rewrote expression to (log (+ 1 (sqrt PI))) 2.299 * [taylor]: Taking taylor expansion of (+ 1 (sqrt PI)) in l 2.299 * [taylor]: Taking taylor expansion of 1 in l 2.299 * [taylor]: Taking taylor expansion of (sqrt PI) in l 2.299 * [taylor]: Taking taylor expansion of PI in l 2.303 * [taylor]: Taking taylor expansion of 1 in l 2.303 * [taylor]: Taking taylor expansion of l in l 2.305 * [taylor]: Taking taylor expansion of (sqrt PI) in l 2.305 * [taylor]: Taking taylor expansion of PI in l 2.308 * [taylor]: Taking taylor expansion of (cos (* (/ (expm1 (log1p (sqrt PI))) l) (sqrt PI))) in l 2.308 * [taylor]: Taking taylor expansion of (* (/ (expm1 (log1p (sqrt PI))) l) (sqrt PI)) in l 2.308 * [taylor]: Taking taylor expansion of (/ (expm1 (log1p (sqrt PI))) l) in l 2.308 * [taylor]: Taking taylor expansion of (expm1 (log1p (sqrt PI))) in l 2.308 * [taylor]: Rewrote expression to (- (exp (log1p (sqrt PI))) 1) 2.308 * [taylor]: Taking taylor expansion of (exp (log1p (sqrt PI))) in l 2.308 * [taylor]: Taking taylor expansion of (log1p (sqrt PI)) in l 2.308 * [taylor]: Rewrote expression to (log (+ 1 (sqrt PI))) 2.308 * [taylor]: Taking taylor expansion of (+ 1 (sqrt PI)) in l 2.308 * [taylor]: Taking taylor expansion of 1 in l 2.308 * [taylor]: Taking taylor expansion of (sqrt PI) in l 2.308 * [taylor]: Taking taylor expansion of PI in l 2.312 * [taylor]: Taking taylor expansion of 1 in l 2.312 * [taylor]: Taking taylor expansion of l in l 2.314 * [taylor]: Taking taylor expansion of (sqrt PI) in l 2.314 * [taylor]: Taking taylor expansion of PI in l 2.381 * [approximate]: Taking taylor expansion of (tan (* -1 (* (/ (expm1 (log1p (sqrt PI))) l) (sqrt PI)))) in (l) around 0 2.381 * [taylor]: Taking taylor expansion of (tan (* -1 (* (/ (expm1 (log1p (sqrt PI))) l) (sqrt PI)))) in l 2.381 * [taylor]: Rewrote expression to (/ (sin (* -1 (* (/ (expm1 (log1p (sqrt PI))) l) (sqrt PI)))) (cos (* -1 (* (/ (expm1 (log1p (sqrt PI))) l) (sqrt PI))))) 2.381 * [taylor]: Taking taylor expansion of (sin (* -1 (* (/ (expm1 (log1p (sqrt PI))) l) (sqrt PI)))) in l 2.381 * [taylor]: Taking taylor expansion of (* -1 (* (/ (expm1 (log1p (sqrt PI))) l) (sqrt PI))) in l 2.381 * [taylor]: Taking taylor expansion of -1 in l 2.381 * [taylor]: Taking taylor expansion of (* (/ (expm1 (log1p (sqrt PI))) l) (sqrt PI)) in l 2.381 * [taylor]: Taking taylor expansion of (/ (expm1 (log1p (sqrt PI))) l) in l 2.381 * [taylor]: Taking taylor expansion of (expm1 (log1p (sqrt PI))) in l 2.381 * [taylor]: Rewrote expression to (- (exp (log1p (sqrt PI))) 1) 2.381 * [taylor]: Taking taylor expansion of (exp (log1p (sqrt PI))) in l 2.381 * [taylor]: Taking taylor expansion of (log1p (sqrt PI)) in l 2.381 * [taylor]: Rewrote expression to (log (+ 1 (sqrt PI))) 2.381 * [taylor]: Taking taylor expansion of (+ 1 (sqrt PI)) in l 2.381 * [taylor]: Taking taylor expansion of 1 in l 2.381 * [taylor]: Taking taylor expansion of (sqrt PI) in l 2.381 * [taylor]: Taking taylor expansion of PI in l 2.385 * [taylor]: Taking taylor expansion of 1 in l 2.385 * [taylor]: Taking taylor expansion of l in l 2.387 * [taylor]: Taking taylor expansion of (sqrt PI) in l 2.387 * [taylor]: Taking taylor expansion of PI in l 2.390 * [taylor]: Taking taylor expansion of (cos (* -1 (* (/ (expm1 (log1p (sqrt PI))) l) (sqrt PI)))) in l 2.390 * [taylor]: Taking taylor expansion of (* -1 (* (/ (expm1 (log1p (sqrt PI))) l) (sqrt PI))) in l 2.390 * [taylor]: Taking taylor expansion of -1 in l 2.390 * [taylor]: Taking taylor expansion of (* (/ (expm1 (log1p (sqrt PI))) l) (sqrt PI)) in l 2.390 * [taylor]: Taking taylor expansion of (/ (expm1 (log1p (sqrt PI))) l) in l 2.390 * [taylor]: Taking taylor expansion of (expm1 (log1p (sqrt PI))) in l 2.390 * [taylor]: Rewrote expression to (- (exp (log1p (sqrt PI))) 1) 2.390 * [taylor]: Taking taylor expansion of (exp (log1p (sqrt PI))) in l 2.390 * [taylor]: Taking taylor expansion of (log1p (sqrt PI)) in l 2.390 * [taylor]: Rewrote expression to (log (+ 1 (sqrt PI))) 2.390 * [taylor]: Taking taylor expansion of (+ 1 (sqrt PI)) in l 2.390 * [taylor]: Taking taylor expansion of 1 in l 2.391 * [taylor]: Taking taylor expansion of (sqrt PI) in l 2.391 * [taylor]: Taking taylor expansion of PI in l 2.394 * [taylor]: Taking taylor expansion of 1 in l 2.394 * [taylor]: Taking taylor expansion of l in l 2.396 * [taylor]: Taking taylor expansion of (sqrt PI) in l 2.396 * [taylor]: Taking taylor expansion of PI in l 2.402 * [taylor]: Taking taylor expansion of (tan (* -1 (* (/ (expm1 (log1p (sqrt PI))) l) (sqrt PI)))) in l 2.402 * [taylor]: Rewrote expression to (/ (sin (* -1 (* (/ (expm1 (log1p (sqrt PI))) l) (sqrt PI)))) (cos (* -1 (* (/ (expm1 (log1p (sqrt PI))) l) (sqrt PI))))) 2.402 * [taylor]: Taking taylor expansion of (sin (* -1 (* (/ (expm1 (log1p (sqrt PI))) l) (sqrt PI)))) in l 2.402 * [taylor]: Taking taylor expansion of (* -1 (* (/ (expm1 (log1p (sqrt PI))) l) (sqrt PI))) in l 2.402 * [taylor]: Taking taylor expansion of -1 in l 2.402 * [taylor]: Taking taylor expansion of (* (/ (expm1 (log1p (sqrt PI))) l) (sqrt PI)) in l 2.403 * [taylor]: Taking taylor expansion of (/ (expm1 (log1p (sqrt PI))) l) in l 2.403 * [taylor]: Taking taylor expansion of (expm1 (log1p (sqrt PI))) in l 2.403 * [taylor]: Rewrote expression to (- (exp (log1p (sqrt PI))) 1) 2.403 * [taylor]: Taking taylor expansion of (exp (log1p (sqrt PI))) in l 2.403 * [taylor]: Taking taylor expansion of (log1p (sqrt PI)) in l 2.403 * [taylor]: Rewrote expression to (log (+ 1 (sqrt PI))) 2.403 * [taylor]: Taking taylor expansion of (+ 1 (sqrt PI)) in l 2.403 * [taylor]: Taking taylor expansion of 1 in l 2.403 * [taylor]: Taking taylor expansion of (sqrt PI) in l 2.403 * [taylor]: Taking taylor expansion of PI in l 2.407 * [taylor]: Taking taylor expansion of 1 in l 2.407 * [taylor]: Taking taylor expansion of l in l 2.409 * [taylor]: Taking taylor expansion of (sqrt PI) in l 2.409 * [taylor]: Taking taylor expansion of PI in l 2.412 * [taylor]: Taking taylor expansion of (cos (* -1 (* (/ (expm1 (log1p (sqrt PI))) l) (sqrt PI)))) in l 2.412 * [taylor]: Taking taylor expansion of (* -1 (* (/ (expm1 (log1p (sqrt PI))) l) (sqrt PI))) in l 2.412 * [taylor]: Taking taylor expansion of -1 in l 2.412 * [taylor]: Taking taylor expansion of (* (/ (expm1 (log1p (sqrt PI))) l) (sqrt PI)) in l 2.412 * [taylor]: Taking taylor expansion of (/ (expm1 (log1p (sqrt PI))) l) in l 2.412 * [taylor]: Taking taylor expansion of (expm1 (log1p (sqrt PI))) in l 2.412 * [taylor]: Rewrote expression to (- (exp (log1p (sqrt PI))) 1) 2.412 * [taylor]: Taking taylor expansion of (exp (log1p (sqrt PI))) in l 2.412 * [taylor]: Taking taylor expansion of (log1p (sqrt PI)) in l 2.412 * [taylor]: Rewrote expression to (log (+ 1 (sqrt PI))) 2.412 * [taylor]: Taking taylor expansion of (+ 1 (sqrt PI)) in l 2.412 * [taylor]: Taking taylor expansion of 1 in l 2.412 * [taylor]: Taking taylor expansion of (sqrt PI) in l 2.412 * [taylor]: Taking taylor expansion of PI in l 2.416 * [taylor]: Taking taylor expansion of 1 in l 2.416 * [taylor]: Taking taylor expansion of l in l 2.418 * [taylor]: Taking taylor expansion of (sqrt PI) in l 2.418 * [taylor]: Taking taylor expansion of PI in l 2.485 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 1 2 1) 2.485 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 2 1 2 1 1 1) 2.485 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 2 1 1) 2.485 * * * [progress]: simplifying candidates 2.486 * [simplify]: Simplifying using # : (expm1 (tan (* (sqrt PI) (* (expm1 (log1p (sqrt PI))) l)))) (log1p (tan (* (sqrt PI) (* (expm1 (log1p (sqrt PI))) l)))) (sin (* (sqrt PI) (* (expm1 (log1p (sqrt PI))) l))) (cos (* (sqrt PI) (* (expm1 (log1p (sqrt PI))) l))) (log (tan (* (sqrt PI) (* (expm1 (log1p (sqrt PI))) l)))) (exp (tan (* (sqrt PI) (* (expm1 (log1p (sqrt PI))) l)))) (* (cbrt (tan (* (sqrt PI) (* (expm1 (log1p (sqrt PI))) l)))) (cbrt (tan (* (sqrt PI) (* (expm1 (log1p (sqrt PI))) l))))) (cbrt (tan (* (sqrt PI) (* (expm1 (log1p (sqrt PI))) l)))) (* (* (tan (* (sqrt PI) (* (expm1 (log1p (sqrt PI))) l))) (tan (* (sqrt PI) (* (expm1 (log1p (sqrt PI))) l)))) (tan (* (sqrt PI) (* (expm1 (log1p (sqrt PI))) l)))) (sqrt (tan (* (sqrt PI) (* (expm1 (log1p (sqrt PI))) l)))) (sqrt (tan (* (sqrt PI) (* (expm1 (log1p (sqrt PI))) l)))) (exp (log1p (sqrt PI))) (expm1 (expm1 (log1p (sqrt PI)))) (log1p (expm1 (log1p (sqrt PI)))) (log (expm1 (log1p (sqrt PI)))) (exp (expm1 (log1p (sqrt PI)))) (* (cbrt (expm1 (log1p (sqrt PI)))) (cbrt (expm1 (log1p (sqrt PI))))) (cbrt (expm1 (log1p (sqrt PI)))) (* (* (expm1 (log1p (sqrt PI))) (expm1 (log1p (sqrt PI)))) (expm1 (log1p (sqrt PI)))) (sqrt (expm1 (log1p (sqrt PI)))) (sqrt (expm1 (log1p (sqrt PI)))) (expm1 (sqrt PI)) (log1p (sqrt PI)) (log (sqrt PI)) (exp (sqrt PI)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (cbrt (sqrt PI)) (* (* (sqrt PI) (sqrt PI)) (sqrt PI)) (sqrt (* (cbrt PI) (cbrt PI))) (sqrt (cbrt PI)) (sqrt (sqrt PI)) (sqrt (sqrt PI)) (sqrt 1) (sqrt PI) (/ 1 2) (sqrt (sqrt PI)) (sqrt (sqrt PI)) (expm1 (sqrt PI)) (log1p (sqrt PI)) (log (sqrt PI)) (exp (sqrt PI)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (cbrt (sqrt PI)) (* (* (sqrt PI) (sqrt PI)) (sqrt PI)) (sqrt (* (cbrt PI) (cbrt PI))) (sqrt (cbrt PI)) (sqrt (sqrt PI)) (sqrt (sqrt PI)) (sqrt 1) (sqrt PI) (/ 1 2) (sqrt (sqrt PI)) (sqrt (sqrt PI)) (+ (* 2/15 (* (pow PI 5) (pow l 5))) (+ (* PI l) (* 1/3 (* (pow PI 3) (pow l 3))))) (/ (sin (* (* (expm1 (log1p (sqrt PI))) l) (sqrt PI))) (cos (* (* (expm1 (log1p (sqrt PI))) l) (sqrt PI)))) (/ (sin (* (* (expm1 (log1p (sqrt PI))) l) (sqrt PI))) (cos (* (* (expm1 (log1p (sqrt PI))) l) (sqrt PI)))) (log1p (sqrt PI)) (log1p (sqrt PI)) (log1p (sqrt PI)) 2.489 * * [simplify]: iteration 0 : 106 enodes (cost 241 ) 2.491 * * [simplify]: iteration 1 : 245 enodes (cost 226 ) 2.496 * * [simplify]: iteration 2 : 803 enodes (cost 226 ) 2.517 * * [simplify]: iteration 3 : 3953 enodes (cost 226 ) 2.605 * * [simplify]: iteration 4 : 5001 enodes (cost 226 ) 2.606 * [simplify]: Simplified to: (expm1 (tan (* (sqrt PI) (* (expm1 (log1p (sqrt PI))) l)))) (log1p (tan (* (sqrt PI) (* (expm1 (log1p (sqrt PI))) l)))) (sin (* (* (expm1 (log1p (sqrt PI))) l) (sqrt PI))) (cos (* (* (expm1 (log1p (sqrt PI))) l) (sqrt PI))) (log (tan (* (sqrt PI) (* (expm1 (log1p (sqrt PI))) l)))) (exp (tan (* (sqrt PI) (* (expm1 (log1p (sqrt PI))) l)))) (* (cbrt (tan (* (sqrt PI) (* (expm1 (log1p (sqrt PI))) l)))) (cbrt (tan (* (sqrt PI) (* (expm1 (log1p (sqrt PI))) l))))) (cbrt (tan (* (sqrt PI) (* (expm1 (log1p (sqrt PI))) l)))) (pow (tan (* (sqrt PI) (* (expm1 (log1p (sqrt PI))) l))) 3) (sqrt (tan (* (sqrt PI) (* (expm1 (log1p (sqrt PI))) l)))) (sqrt (tan (* (sqrt PI) (* (expm1 (log1p (sqrt PI))) l)))) (exp (log1p (sqrt PI))) (expm1 (sqrt PI)) (log1p (sqrt PI)) (log (sqrt PI)) (exp (sqrt PI)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (cbrt (sqrt PI)) (* (sqrt PI) PI) (sqrt (sqrt PI)) (sqrt (sqrt PI)) (expm1 (sqrt PI)) (log1p (sqrt PI)) (log (sqrt PI)) (exp (sqrt PI)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (cbrt (sqrt PI)) (* (sqrt PI) PI) (fabs (cbrt PI)) (sqrt (cbrt PI)) (sqrt (sqrt PI)) (sqrt (sqrt PI)) (sqrt 1) (sqrt PI) 1/2 (sqrt (sqrt PI)) (sqrt (sqrt PI)) (expm1 (sqrt PI)) (log1p (sqrt PI)) (log (sqrt PI)) (exp (sqrt PI)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (cbrt (sqrt PI)) (* (sqrt PI) PI) (fabs (cbrt PI)) (sqrt (cbrt PI)) (sqrt (sqrt PI)) (sqrt (sqrt PI)) (sqrt 1) (sqrt PI) 1/2 (sqrt (sqrt PI)) (sqrt (sqrt PI)) (fma 2/15 (* (pow PI 5) (pow l 5)) (fma PI l (* 1/3 (* (pow PI 3) (pow l 3))))) (/ (sin (* (* (expm1 (log1p (sqrt PI))) l) (sqrt PI))) (cos (* (* (expm1 (log1p (sqrt PI))) l) (sqrt PI)))) (/ (sin (* (* (expm1 (log1p (sqrt PI))) l) (sqrt PI))) (cos (* (* (expm1 (log1p (sqrt PI))) l) (sqrt PI)))) (log1p (sqrt PI)) (log1p (sqrt PI)) (log1p (sqrt PI)) 2.607 * * * [progress]: adding candidates to table 2.808 * [progress]: [Phase 3 of 3] Extracting. 2.809 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # # # # # # # #) 2.819 * * * [regime-changes]: Trying 5 branch expressions: ((* F F) (/ 1.0 (* F F)) (* PI l) l F) 2.819 * * * * [regimes]: Trying to branch on (* F F) from (# # # # # # # # # # # # # # # # # # # # #) 2.893 * * * * [regimes]: Trying to branch on (* F F) from (# # # #) 2.912 * * * * [regimes]: Trying to branch on (/ 1.0 (* F F)) from (# # # # # # # # # # # # # # # # # # # # #) 2.984 * * * * [regimes]: Trying to branch on (/ 1.0 (* F F)) from (# # # #) 3.003 * * * * [regimes]: Trying to branch on (* PI l) from (# # # # # # # # # # # # # # # # # # # # #) 3.079 * * * * [regimes]: Trying to branch on (* PI l) from (# # # # # # # # # #) 3.116 * * * * [regimes]: Trying to branch on l from (# # # # # # # # # # # # # # # # # # # # #) 3.190 * * * * [regimes]: Trying to branch on F from (# # # # # # # # # # # # # # # # # # # # #) 3.266 * * * [regime]: Found split indices: #