0.805 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.406 * * * [progress]: [2/2] Setting up program. 0.411 * [progress]: [Phase 2 of 3] Improving. 0.414 * [simplify]: Simplifying using # : (- (* PI l) (* (/ 1.0 (* F F)) (tan (* PI l)))) 0.420 * * [simplify]: iteration 0 : 18 enodes (cost 7 ) 0.421 * * [simplify]: iteration 1 : 39 enodes (cost 7 ) 0.422 * * [simplify]: iteration 2 : 76 enodes (cost 7 ) 0.424 * * [simplify]: iteration 3 : 114 enodes (cost 7 ) 0.426 * * [simplify]: iteration 4 : 137 enodes (cost 7 ) 0.428 * * [simplify]: iteration 5 : 144 enodes (cost 7 ) 0.430 * * [simplify]: iteration 6 : 144 enodes (cost 7 ) 0.430 * [simplify]: Simplified to: (- (* PI l) (* (/ 1.0 (* F F)) (tan (* PI l)))) 0.433 * * [progress]: iteration 1 / 4 0.433 * * * [progress]: picking best candidate 0.437 * * * * [pick]: Picked # 0.437 * * * [progress]: localizing error 0.470 * * * [progress]: generating rewritten candidates 0.471 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 0.474 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 0.482 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.487 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 0.493 * * * [progress]: generating series expansions 0.493 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 0.497 * [approximate]: Approximating (tan (* PI l)) in (l) around 0 0.570 * [approximate]: Approximating (tan (/ PI l)) in (l) around 0 0.574 * [approximate]: Approximating (tan (* -1 (/ PI l))) in (l) around 0 0.580 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 0.580 * [approximate]: Approximating (* 1.0 (/ (tan (* PI l)) (pow F 2))) in (F l) around 0 0.589 * [taylor]: Taking taylor expansion of (* 1.0 (/ (tan (* PI l)) (pow F 2))) in l 0.602 * [taylor]: Taking taylor expansion of (* 1.0 (/ (tan (* PI l)) (pow F 2))) in l 0.615 * [taylor]: Taking taylor expansion of (* 1.0 (/ (tan (* PI l)) (pow F 2))) in l 0.647 * [taylor]: Taking taylor expansion of (* 1.0 (/ (tan (* PI l)) (pow F 2))) in l 0.668 * [taylor]: Taking taylor expansion of (* 1.0 (/ (tan (* PI l)) (pow F 2))) in l 0.670 * [approximate]: Approximating (* 1.0 (* (tan (/ PI l)) (pow F 2))) in (F l) around 0 0.673 * [taylor]: Taking taylor expansion of (* 1.0 (* (tan (/ PI l)) (pow F 2))) in l 0.680 * [taylor]: Taking taylor expansion of (* 1.0 (* (tan (/ PI l)) (pow F 2))) in l 0.688 * [taylor]: Taking taylor expansion of (* 1.0 (* (tan (/ PI l)) (pow F 2))) in l 0.699 * [taylor]: Taking taylor expansion of (* 1.0 (* (tan (/ PI l)) (pow F 2))) in l 0.699 * [approximate]: Approximating (* 1.0 (* (tan (* -1 (/ PI l))) (pow F 2))) in (F l) around 0 0.703 * [taylor]: Taking taylor expansion of (* 1.0 (* (tan (* -1 (/ PI l))) (pow F 2))) in l 0.712 * [taylor]: Taking taylor expansion of (* 1.0 (* (tan (* -1 (/ PI l))) (pow F 2))) in l 0.724 * [taylor]: Taking taylor expansion of (* 1.0 (* (tan (* -1 (/ PI l))) (pow F 2))) in l 0.737 * [taylor]: Taking taylor expansion of (* 1.0 (* (tan (* -1 (/ PI l))) (pow F 2))) in l 0.737 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 0.737 * [approximate]: Approximating (/ 1.0 (pow F 2)) in (F) around 0 0.747 * [approximate]: Approximating (* 1.0 (pow F 2)) in (F) around 0 0.757 * [approximate]: Approximating (* 1.0 (pow F 2)) in (F) around 0 0.766 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 0.766 * [approximate]: Approximating (* PI l) in (l) around 0 0.773 * [approximate]: Approximating (/ PI l) in (l) around 0 0.779 * [approximate]: Approximating (* -1 (/ PI l)) in (l) around 0 0.790 * * * [progress]: simplifying candidates 0.791 * [simplify]: Simplifying using # : (sin (* PI l)) (cos (* PI l)) (log (tan (* PI l))) (exp (tan (* PI l))) (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l)))) (cbrt (tan (* PI l))) (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (sqrt (tan (* PI l))) (sqrt (tan (* PI l))) (* (/ 1.0 (* F F)) (tan (* PI l))) (+ (- (log 1.0) (+ (log F) (log F))) (log (tan (* PI l)))) (+ (- (log 1.0) (log (* F F))) (log (tan (* PI l)))) (+ (log (/ 1.0 (* F F))) (log (tan (* PI l)))) (log (* (/ 1.0 (* F F)) (tan (* PI l)))) (exp (* (/ 1.0 (* F F)) (tan (* PI l)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (* F F) F) (* (* F F) F))) (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (* F F) (* F F)) (* F F))) (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l)))) (* (* (* (/ 1.0 (* F F)) (/ 1.0 (* F F))) (/ 1.0 (* F F))) (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l)))) (* (cbrt (* (/ 1.0 (* F F)) (tan (* PI l)))) (cbrt (* (/ 1.0 (* F F)) (tan (* PI l))))) (cbrt (* (/ 1.0 (* F F)) (tan (* PI l)))) (* (* (* (/ 1.0 (* F F)) (tan (* PI l))) (* (/ 1.0 (* F F)) (tan (* PI l)))) (* (/ 1.0 (* F F)) (tan (* PI l)))) (sqrt (* (/ 1.0 (* F F)) (tan (* PI l)))) (sqrt (* (/ 1.0 (* F F)) (tan (* PI l)))) (* 1.0 (sin (* PI l))) (* (* F F) (cos (* PI l))) (* (sqrt (/ 1.0 (* F F))) (sqrt (tan (* PI l)))) (* (sqrt (/ 1.0 (* F F))) (sqrt (tan (* PI l)))) (* (/ (sqrt 1.0) F) (sqrt (tan (* PI l)))) (* (/ (sqrt 1.0) F) (sqrt (tan (* PI l)))) (* (/ 1.0 (* F F)) (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l))))) (* (/ 1.0 (* F F)) (sqrt (tan (* PI l)))) (* (/ 1.0 (* F F)) 1) (* (cbrt (/ 1.0 (* F F))) (tan (* PI l))) (* (sqrt (/ 1.0 (* F F))) (tan (* PI l))) (* (/ (cbrt 1.0) F) (tan (* PI l))) (* (/ (sqrt 1.0) F) (tan (* PI l))) (* (/ 1.0 F) (tan (* PI l))) (* (/ 1.0 (* F F)) (tan (* PI l))) (* (/ 1 (* F F)) (tan (* PI l))) (* (/ 1.0 (* F F)) (sin (* PI l))) (* 1.0 (tan (* PI l))) (- (log 1.0) (+ (log F) (log F))) (- (log 1.0) (log (* F F))) (log (/ 1.0 (* F F))) (exp (/ 1.0 (* F F))) (/ (* (* 1.0 1.0) 1.0) (* (* (* F F) F) (* (* F F) F))) (/ (* (* 1.0 1.0) 1.0) (* (* (* F F) (* F F)) (* F F))) (* (cbrt (/ 1.0 (* F F))) (cbrt (/ 1.0 (* F F)))) (cbrt (/ 1.0 (* F F))) (* (* (/ 1.0 (* F F)) (/ 1.0 (* F F))) (/ 1.0 (* F F))) (sqrt (/ 1.0 (* F F))) (sqrt (/ 1.0 (* F F))) (neg 1.0) (neg (* F F)) (/ (* (cbrt 1.0) (cbrt 1.0)) F) (/ (cbrt 1.0) F) (/ (sqrt 1.0) F) (/ (sqrt 1.0) F) (/ 1 F) (/ 1.0 F) (/ 1 (* F F)) (/ (* F F) 1.0) (/ 1.0 F) (/ (* F F) (cbrt 1.0)) (/ (* F F) (sqrt 1.0)) (/ (* F F) 1.0) (* PI l) (+ (log PI) (log l)) (log (* PI l)) (exp (* PI l)) (* (* (* PI PI) PI) (* (* l l) l)) (* (cbrt (* PI l)) (cbrt (* PI l))) (cbrt (* PI l)) (* (* (* PI l) (* PI l)) (* PI l)) (sqrt (* PI l)) (sqrt (* PI l)) (* (sqrt PI) (sqrt l)) (* (sqrt PI) (sqrt l)) (* PI (* (cbrt l) (cbrt l))) (* PI (sqrt l)) (* PI 1) (* (cbrt PI) l) (* (sqrt PI) l) (* PI l) (+ (* 2/15 (* (pow PI 5) (pow l 5))) (+ (* PI l) (* 1/3 (* (pow PI 3) (pow l 3))))) (/ (sin (* PI l)) (cos (* PI l))) (/ (sin (* PI l)) (cos (* PI l))) (+ (* 1.0 (/ (* PI l) (pow F 2))) (* 0.3333333333333333 (/ (* (pow PI 3) (pow l 3)) (pow F 2)))) (* 1.0 (/ (sin (* PI l)) (* (cos (* PI l)) (pow F 2)))) (* 1.0 (/ (sin (* PI l)) (* (cos (* PI l)) (pow F 2)))) (/ 1.0 (pow F 2)) (/ 1.0 (pow F 2)) (/ 1.0 (pow F 2)) (* PI l) (* PI l) (* PI l) 0.795 * * [simplify]: iteration 0 : 323 enodes (cost 443 ) 0.801 * * [simplify]: iteration 1 : 1416 enodes (cost 374 ) 0.826 * * [simplify]: iteration 2 : 5001 enodes (cost 374 ) 0.832 * [simplify]: Simplified to: (sin (* PI l)) (cos (* PI l)) (log (tan (* PI l))) (exp (tan (* PI l))) (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l)))) (cbrt (tan (* PI l))) (pow (tan (* PI l)) 3) (sqrt (tan (* PI l))) (sqrt (tan (* PI l))) (* (/ 1.0 (* F F)) (tan (* PI l))) (log (* (/ 1.0 (* F F)) (tan (* PI l)))) (log (* (/ 1.0 (* F F)) (tan (* PI l)))) (log (* (/ 1.0 (* F F)) (tan (* PI l)))) (log (* (/ 1.0 (* F F)) (tan (* PI l)))) (exp (* (/ 1.0 (* F F)) (tan (* PI l)))) (pow (* (/ 1.0 (* F F)) (tan (* PI l))) 3) (pow (* (/ 1.0 (* F F)) (tan (* PI l))) 3) (pow (* (/ 1.0 (* F F)) (tan (* PI l))) 3) (* (cbrt (* (/ 1.0 (* F F)) (tan (* PI l)))) (cbrt (* (/ 1.0 (* F F)) (tan (* PI l))))) (cbrt (* (/ 1.0 (* F F)) (tan (* PI l)))) (pow (* (/ 1.0 (* F F)) (tan (* PI l))) 3) (sqrt (* (/ 1.0 (* F F)) (tan (* PI l)))) (sqrt (* (/ 1.0 (* F F)) (tan (* PI l)))) (* 1.0 (sin (* PI l))) (* (* F F) (cos (* PI l))) (* (sqrt (/ 1.0 (* F F))) (sqrt (tan (* PI l)))) (* (sqrt (/ 1.0 (* F F))) (sqrt (tan (* PI l)))) (* (/ (sqrt 1.0) F) (sqrt (tan (* PI l)))) (* (/ (sqrt 1.0) F) (sqrt (tan (* PI l)))) (* (/ 1.0 (* F F)) (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l))))) (* (/ 1.0 (* F F)) (sqrt (tan (* PI l)))) (/ 1.0 (* F F)) (* (cbrt (/ 1.0 (* F F))) (tan (* PI l))) (* (sqrt (/ 1.0 (* F F))) (tan (* PI l))) (* (/ (cbrt 1.0) F) (tan (* PI l))) (* (/ (sqrt 1.0) F) (tan (* PI l))) (* (/ 1.0 F) (tan (* PI l))) (* (/ 1.0 (* F F)) (tan (* PI l))) (/ (tan (* PI l)) (pow F 2)) (* (/ 1.0 (* F F)) (sin (* PI l))) (* 1.0 (tan (* PI l))) (log (/ 1.0 (* F F))) (log (/ 1.0 (* F F))) (log (/ 1.0 (* F F))) (exp (/ 1.0 (* F F))) (pow (/ 1.0 (* F F)) 3) (pow (/ 1.0 (* F F)) 3) (* (cbrt (/ 1.0 (* F F))) (cbrt (/ 1.0 (* F F)))) (cbrt (/ 1.0 (* F F))) (pow (/ 1.0 (* F F)) 3) (sqrt (/ 1.0 (* F F))) (sqrt (/ 1.0 (* F F))) (neg 1.0) (neg (* F F)) (/ (* (cbrt 1.0) (cbrt 1.0)) F) (/ (cbrt 1.0) F) (/ (sqrt 1.0) F) (/ (sqrt 1.0) F) (/ 1 F) (/ 1.0 F) (/ 1 (* F F)) (/ (* F F) 1.0) (/ 1.0 F) (/ (* F F) (cbrt 1.0)) (/ (* F F) (sqrt 1.0)) (/ (* F F) 1.0) (* PI l) (log (* PI l)) (log (* PI l)) (exp (* PI l)) (pow (* PI l) 3) (* (cbrt (* PI l)) (cbrt (* PI l))) (cbrt (* PI l)) (pow (* PI l) 3) (sqrt (* PI l)) (sqrt (* PI l)) (* (sqrt PI) (sqrt l)) (* (sqrt PI) (sqrt l)) (* PI (* (cbrt l) (cbrt l))) (* PI (sqrt l)) PI (* (cbrt PI) l) (* (sqrt PI) l) (* PI l) (+ (* 2/15 (* (pow PI 5) (pow l 5))) (+ (* PI l) (* 1/3 (* (pow PI 3) (pow l 3))))) (/ (sin (* PI l)) (cos (* PI l))) (/ (sin (* PI l)) (cos (* PI l))) (+ (* 1.0 (/ (* PI l) (pow F 2))) (* 0.3333333333333333 (/ (* (pow PI 3) (pow l 3)) (pow F 2)))) (* 1.0 (/ (sin (* PI l)) (* (cos (* PI l)) (pow F 2)))) (* 1.0 (/ (sin (* PI l)) (* (cos (* PI l)) (pow F 2)))) (/ 1.0 (* F F)) (/ 1.0 (* F F)) (/ 1.0 (* F F)) (* PI l) (* PI l) (* PI l) 0.832 * * * [progress]: adding candidates to table 1.179 * * [progress]: iteration 2 / 4 1.179 * * * [progress]: picking best candidate 1.233 * * * * [pick]: Picked # 1.233 * * * [progress]: localizing error 1.243 * * * [progress]: generating rewritten candidates 1.243 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 1.245 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 1.252 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 2 1) 1.255 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.261 * * * [progress]: generating series expansions 1.261 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 1.261 * [approximate]: Approximating (tan (* PI l)) in (l) around 0 1.324 * [approximate]: Approximating (tan (/ PI l)) in (l) around 0 1.328 * [approximate]: Approximating (tan (* -1 (/ PI l))) in (l) around 0 1.334 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 1.334 * [approximate]: Approximating (* 1.0 (/ (tan (* PI l)) F)) in (F l) around 0 1.341 * [taylor]: Taking taylor expansion of (* 1.0 (/ (tan (* PI l)) F)) in l 1.355 * [taylor]: Taking taylor expansion of (* 1.0 (/ (tan (* PI l)) F)) in l 1.366 * [taylor]: Taking taylor expansion of (* 1.0 (/ (tan (* PI l)) F)) in l 1.395 * [taylor]: Taking taylor expansion of (* 1.0 (/ (tan (* PI l)) F)) in l 1.415 * [taylor]: Taking taylor expansion of (* 1.0 (/ (tan (* PI l)) F)) in l 1.417 * [approximate]: Approximating (* 1.0 (* (tan (/ PI l)) F)) in (F l) around 0 1.420 * [taylor]: Taking taylor expansion of (* 1.0 (* (tan (/ PI l)) F)) in l 1.428 * [taylor]: Taking taylor expansion of (* 1.0 (* (tan (/ PI l)) F)) in l 1.436 * [taylor]: Taking taylor expansion of (* 1.0 (* (tan (/ PI l)) F)) in l 1.445 * [taylor]: Taking taylor expansion of (* 1.0 (* (tan (/ PI l)) F)) in l 1.445 * [approximate]: Approximating (* -1.0 (* (tan (* -1 (/ PI l))) F)) in (F l) around 0 1.449 * [taylor]: Taking taylor expansion of (* -1.0 (* (tan (* -1 (/ PI l))) F)) in l 1.455 * [taylor]: Taking taylor expansion of (* -1.0 (* (tan (* -1 (/ PI l))) F)) in l 1.466 * [taylor]: Taking taylor expansion of (* -1.0 (* (tan (* -1 (/ PI l))) F)) in l 1.478 * [taylor]: Taking taylor expansion of (* -1.0 (* (tan (* -1 (/ PI l))) F)) in l 1.478 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 2 1) 1.478 * [approximate]: Approximating (* PI l) in (l) around 0 1.485 * [approximate]: Approximating (/ PI l) in (l) around 0 1.490 * [approximate]: Approximating (* -1 (/ PI l)) in (l) around 0 1.501 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.501 * [approximate]: Approximating (* PI l) in (l) around 0 1.510 * [approximate]: Approximating (/ PI l) in (l) around 0 1.515 * [approximate]: Approximating (* -1 (/ PI l)) in (l) around 0 1.526 * * * [progress]: simplifying candidates 1.527 * [simplify]: Simplifying using # : (sin (* PI l)) (cos (* PI l)) (log (tan (* PI l))) (exp (tan (* PI l))) (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l)))) (cbrt (tan (* PI l))) (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (sqrt (tan (* PI l))) (sqrt (tan (* PI l))) (* (/ 1.0 F) (tan (* PI l))) (+ (- (log 1.0) (log F)) (log (tan (* PI l)))) (+ (log (/ 1.0 F)) (log (tan (* PI l)))) (log (* (/ 1.0 F) (tan (* PI l)))) (exp (* (/ 1.0 F) (tan (* PI l)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* F F) F)) (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l)))) (* (* (* (/ 1.0 F) (/ 1.0 F)) (/ 1.0 F)) (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l)))) (* (cbrt (* (/ 1.0 F) (tan (* PI l)))) (cbrt (* (/ 1.0 F) (tan (* PI l))))) (cbrt (* (/ 1.0 F) (tan (* PI l)))) (* (* (* (/ 1.0 F) (tan (* PI l))) (* (/ 1.0 F) (tan (* PI l)))) (* (/ 1.0 F) (tan (* PI l)))) (sqrt (* (/ 1.0 F) (tan (* PI l)))) (sqrt (* (/ 1.0 F) (tan (* PI l)))) (* 1.0 (sin (* PI l))) (* F (cos (* PI l))) (* (sqrt (/ 1.0 F)) (sqrt (tan (* PI l)))) (* (sqrt (/ 1.0 F)) (sqrt (tan (* PI l)))) (* (/ (sqrt 1.0) (sqrt F)) (sqrt (tan (* PI l)))) (* (/ (sqrt 1.0) (sqrt F)) (sqrt (tan (* PI l)))) (* (/ 1.0 F) (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l))))) (* (/ 1.0 F) (sqrt (tan (* PI l)))) (* (/ 1.0 F) 1) (* (cbrt (/ 1.0 F)) (tan (* PI l))) (* (sqrt (/ 1.0 F)) (tan (* PI l))) (* (/ (cbrt 1.0) (cbrt F)) (tan (* PI l))) (* (/ (cbrt 1.0) (sqrt F)) (tan (* PI l))) (* (/ (cbrt 1.0) F) (tan (* PI l))) (* (/ (sqrt 1.0) (cbrt F)) (tan (* PI l))) (* (/ (sqrt 1.0) (sqrt F)) (tan (* PI l))) (* (/ (sqrt 1.0) F) (tan (* PI l))) (* (/ 1.0 (cbrt F)) (tan (* PI l))) (* (/ 1.0 (sqrt F)) (tan (* PI l))) (* (/ 1.0 F) (tan (* PI l))) (* (/ 1.0 F) (tan (* PI l))) (* (/ 1 F) (tan (* PI l))) (* (/ 1.0 F) (sin (* PI l))) (* 1.0 (tan (* PI l))) (* PI l) (+ (log PI) (log l)) (log (* PI l)) (exp (* PI l)) (* (* (* PI PI) PI) (* (* l l) l)) (* (cbrt (* PI l)) (cbrt (* PI l))) (cbrt (* PI l)) (* (* (* PI l) (* PI l)) (* PI l)) (sqrt (* PI l)) (sqrt (* PI l)) (* (sqrt PI) (sqrt l)) (* (sqrt PI) (sqrt l)) (* PI (* (cbrt l) (cbrt l))) (* PI (sqrt l)) (* PI 1) (* (cbrt PI) l) (* (sqrt PI) l) (* PI l) (* PI l) (+ (log PI) (log l)) (log (* PI l)) (exp (* PI l)) (* (* (* PI PI) PI) (* (* l l) l)) (* (cbrt (* PI l)) (cbrt (* PI l))) (cbrt (* PI l)) (* (* (* PI l) (* PI l)) (* PI l)) (sqrt (* PI l)) (sqrt (* PI l)) (* (sqrt PI) (sqrt l)) (* (sqrt PI) (sqrt l)) (* PI (* (cbrt l) (cbrt l))) (* PI (sqrt l)) (* PI 1) (* (cbrt PI) l) (* (sqrt PI) l) (* PI l) (+ (* 2/15 (* (pow PI 5) (pow l 5))) (+ (* PI l) (* 1/3 (* (pow PI 3) (pow l 3))))) (/ (sin (* PI l)) (cos (* PI l))) (/ (sin (* PI l)) (cos (* PI l))) (+ (* 1.0 (/ (* PI l) F)) (* 0.3333333333333333 (/ (* (pow PI 3) (pow l 3)) F))) (* 1.0 (/ (sin (* PI l)) (* (cos (* PI l)) F))) (* 1.0 (/ (sin (* PI l)) (* (cos (* PI l)) F))) (* PI l) (* PI l) (* PI l) (* PI l) (* PI l) (* PI l) 1.531 * * [simplify]: iteration 0 : 277 enodes (cost 382 ) 1.535 * * [simplify]: iteration 1 : 1009 enodes (cost 342 ) 1.553 * * [simplify]: iteration 2 : 3834 enodes (cost 341 ) 1.607 * * [simplify]: iteration 3 : 5001 enodes (cost 341 ) 1.610 * [simplify]: Simplified to: (sin (* PI l)) (cos (* PI l)) (log (tan (* PI l))) (exp (tan (* PI l))) (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l)))) (cbrt (tan (* PI l))) (pow (tan (* PI l)) 3) (sqrt (tan (* PI l))) (sqrt (tan (* PI l))) (* (/ 1.0 F) (tan (* PI l))) (log (* (/ 1.0 F) (tan (* PI l)))) (log (* (/ 1.0 F) (tan (* PI l)))) (log (* (/ 1.0 F) (tan (* PI l)))) (exp (* (/ 1.0 F) (tan (* PI l)))) (pow (* (/ 1.0 F) (tan (* PI l))) 3) (pow (* (/ 1.0 F) (tan (* PI l))) 3) (* (cbrt (* (/ 1.0 F) (tan (* PI l)))) (cbrt (* (/ 1.0 F) (tan (* PI l))))) (cbrt (* (/ 1.0 F) (tan (* PI l)))) (pow (* (/ 1.0 F) (tan (* PI l))) 3) (sqrt (* (/ 1.0 F) (tan (* PI l)))) (sqrt (* (/ 1.0 F) (tan (* PI l)))) (* 1.0 (sin (* PI l))) (* F (cos (* PI l))) (* (sqrt (/ 1.0 F)) (sqrt (tan (* PI l)))) (* (sqrt (/ 1.0 F)) (sqrt (tan (* PI l)))) (* (/ (sqrt 1.0) (sqrt F)) (sqrt (tan (* PI l)))) (* (/ (sqrt 1.0) (sqrt F)) (sqrt (tan (* PI l)))) (* (/ 1.0 F) (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l))))) (* (/ 1.0 F) (sqrt (tan (* PI l)))) (/ 1.0 F) (* (cbrt (/ 1.0 F)) (tan (* PI l))) (* (sqrt (/ 1.0 F)) (tan (* PI l))) (* (/ (cbrt 1.0) (cbrt F)) (tan (* PI l))) (* (/ (cbrt 1.0) (sqrt F)) (tan (* PI l))) (* (/ (cbrt 1.0) F) (tan (* PI l))) (* (/ (sqrt 1.0) (cbrt F)) (tan (* PI l))) (* (/ (sqrt 1.0) (sqrt F)) (tan (* PI l))) (* (/ (sqrt 1.0) F) (tan (* PI l))) (* (/ 1.0 (cbrt F)) (tan (* PI l))) (* (/ 1.0 (sqrt F)) (tan (* PI l))) (* (/ 1.0 F) (tan (* PI l))) (* (/ 1.0 F) (tan (* PI l))) (/ (tan (* PI l)) F) (* (/ 1.0 F) (sin (* PI l))) (* 1.0 (tan (* PI l))) (* PI l) (log (* PI l)) (log (* PI l)) (exp (* PI l)) (pow (* PI l) 3) (* (cbrt (* PI l)) (cbrt (* PI l))) (cbrt (* PI l)) (pow (* PI l) 3) (sqrt (* PI l)) (sqrt (* PI l)) (* (sqrt PI) (sqrt l)) (* (sqrt PI) (sqrt l)) (* PI (* (cbrt l) (cbrt l))) (* PI (sqrt l)) PI (* (cbrt PI) l) (* (sqrt PI) l) (* PI l) (* PI l) (log (* PI l)) (log (* PI l)) (exp (* PI l)) (pow (* PI l) 3) (* (cbrt (* PI l)) (cbrt (* PI l))) (cbrt (* PI l)) (pow (* PI l) 3) (sqrt (* PI l)) (sqrt (* PI l)) (* (sqrt PI) (sqrt l)) (* (sqrt PI) (sqrt l)) (* PI (* (cbrt l) (cbrt l))) (* PI (sqrt l)) PI (* (cbrt PI) l) (* (sqrt PI) l) (* PI l) (+ (* 2/15 (* (pow PI 5) (pow l 5))) (+ (* PI l) (* 1/3 (* (pow PI 3) (pow l 3))))) (/ (sin (* PI l)) (cos (* PI l))) (/ (sin (* PI l)) (cos (* PI l))) (+ (* 1.0 (/ (* PI l) F)) (* 0.3333333333333333 (/ (* (pow PI 3) (pow l 3)) F))) (* 1.0 (/ (sin (* PI l)) (* (cos (* PI l)) F))) (* 1.0 (/ (sin (* PI l)) (* (cos (* PI l)) F))) (* PI l) (* PI l) (* PI l) (* PI l) (* PI l) (* PI l) 1.610 * * * [progress]: adding candidates to table 2.013 * * [progress]: iteration 3 / 4 2.013 * * * [progress]: picking best candidate 2.102 * * * * [pick]: Picked # 2.102 * * * [progress]: localizing error 2.113 * * * [progress]: generating rewritten candidates 2.113 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2 1) 2.115 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 1 1) 2.118 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 2.121 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 2.133 * * * [progress]: generating series expansions 2.133 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2 1) 2.133 * [approximate]: Approximating (tan (* PI l)) in (l) around 0 2.197 * [approximate]: Approximating (tan (/ PI l)) in (l) around 0 2.201 * [approximate]: Approximating (tan (* -1 (/ PI l))) in (l) around 0 2.207 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 1 1) 2.207 * [approximate]: Approximating (* PI l) in (l) around 0 2.214 * [approximate]: Approximating (/ PI l) in (l) around 0 2.219 * [approximate]: Approximating (* -1 (/ PI l)) in (l) around 0 2.230 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 2.230 * [approximate]: Approximating (* PI l) in (l) around 0 2.236 * [approximate]: Approximating (/ PI l) in (l) around 0 2.242 * [approximate]: Approximating (* -1 (/ PI l)) in (l) around 0 2.254 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 2.255 * [approximate]: Approximating (* 1.0 (/ (tan (* PI l)) (pow F 2))) in (F l) around 0 2.263 * [taylor]: Taking taylor expansion of (* 1.0 (/ (tan (* PI l)) (pow F 2))) in l 2.275 * [taylor]: Taking taylor expansion of (* 1.0 (/ (tan (* PI l)) (pow F 2))) in l 2.287 * [taylor]: Taking taylor expansion of (* 1.0 (/ (tan (* PI l)) (pow F 2))) in l 2.317 * [taylor]: Taking taylor expansion of (* 1.0 (/ (tan (* PI l)) (pow F 2))) in l 2.340 * [taylor]: Taking taylor expansion of (* 1.0 (/ (tan (* PI l)) (pow F 2))) in l 2.342 * [approximate]: Approximating (* 1.0 (* (tan (/ PI l)) (pow F 2))) in (F l) around 0 2.345 * [taylor]: Taking taylor expansion of (* 1.0 (* (tan (/ PI l)) (pow F 2))) in l 2.352 * [taylor]: Taking taylor expansion of (* 1.0 (* (tan (/ PI l)) (pow F 2))) in l 2.359 * [taylor]: Taking taylor expansion of (* 1.0 (* (tan (/ PI l)) (pow F 2))) in l 2.369 * [taylor]: Taking taylor expansion of (* 1.0 (* (tan (/ PI l)) (pow F 2))) in l 2.370 * [approximate]: Approximating (* 1.0 (* (tan (* -1 (/ PI l))) (pow F 2))) in (F l) around 0 2.374 * [taylor]: Taking taylor expansion of (* 1.0 (* (tan (* -1 (/ PI l))) (pow F 2))) in l 2.382 * [taylor]: Taking taylor expansion of (* 1.0 (* (tan (* -1 (/ PI l))) (pow F 2))) in l 2.392 * [taylor]: Taking taylor expansion of (* 1.0 (* (tan (* -1 (/ PI l))) (pow F 2))) in l 2.404 * [taylor]: Taking taylor expansion of (* 1.0 (* (tan (* -1 (/ PI l))) (pow F 2))) in l 2.405 * * * [progress]: simplifying candidates 2.408 * [simplify]: Simplifying using # : (sin (* PI l)) (cos (* PI l)) (log (tan (* PI l))) (exp (tan (* PI l))) (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l)))) (cbrt (tan (* PI l))) (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (sqrt (tan (* PI l))) (sqrt (tan (* PI l))) (* PI l) (+ (log PI) (log l)) (log (* PI l)) (exp (* PI l)) (* (* (* PI PI) PI) (* (* l l) l)) (* (cbrt (* PI l)) (cbrt (* PI l))) (cbrt (* PI l)) (* (* (* PI l) (* PI l)) (* PI l)) (sqrt (* PI l)) (sqrt (* PI l)) (* (sqrt PI) (sqrt l)) (* (sqrt PI) (sqrt l)) (* PI (* (cbrt l) (cbrt l))) (* PI (sqrt l)) (* PI 1) (* (cbrt PI) l) (* (sqrt PI) l) (* PI l) (* PI l) (+ (log PI) (log l)) (log (* PI l)) (exp (* PI l)) (* (* (* PI PI) PI) (* (* l l) l)) (* (cbrt (* PI l)) (cbrt (* PI l))) (cbrt (* PI l)) (* (* (* PI l) (* PI l)) (* PI l)) (sqrt (* PI l)) (sqrt (* PI l)) (* (sqrt PI) (sqrt l)) (* (sqrt PI) (sqrt l)) (* PI (* (cbrt l) (cbrt l))) (* PI (sqrt l)) (* PI 1) (* (cbrt PI) l) (* (sqrt PI) l) (* PI l) (* (/ 1 F) (* 1.0 (/ (tan (* PI l)) F))) (* (/ 1 F) (* 1.0 (/ (tan (* PI l)) F))) (+ (neg (log F)) (+ (log 1.0) (- (log (tan (* PI l))) (log F)))) (+ (neg (log F)) (+ (log 1.0) (log (/ (tan (* PI l)) F)))) (+ (neg (log F)) (log (* 1.0 (/ (tan (* PI l)) F)))) (+ (- 0 (log F)) (+ (log 1.0) (- (log (tan (* PI l))) (log F)))) (+ (- 0 (log F)) (+ (log 1.0) (log (/ (tan (* PI l)) F)))) (+ (- 0 (log F)) (log (* 1.0 (/ (tan (* PI l)) F)))) (+ (- (log 1) (log F)) (+ (log 1.0) (- (log (tan (* PI l))) (log F)))) (+ (- (log 1) (log F)) (+ (log 1.0) (log (/ (tan (* PI l)) F)))) (+ (- (log 1) (log F)) (log (* 1.0 (/ (tan (* PI l)) F)))) (+ (log (/ 1 F)) (+ (log 1.0) (- (log (tan (* PI l))) (log F)))) (+ (log (/ 1 F)) (+ (log 1.0) (log (/ (tan (* PI l)) F)))) (+ (log (/ 1 F)) (log (* 1.0 (/ (tan (* PI l)) F)))) (log (* (/ 1 F) (* 1.0 (/ (tan (* PI l)) F)))) (exp (* (/ 1 F) (* 1.0 (/ (tan (* PI l)) F)))) (* (/ (* (* 1 1) 1) (* (* F F) F)) (* (* (* 1.0 1.0) 1.0) (/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* F F) F)))) (* (/ (* (* 1 1) 1) (* (* F F) F)) (* (* (* 1.0 1.0) 1.0) (* (* (/ (tan (* PI l)) F) (/ (tan (* PI l)) F)) (/ (tan (* PI l)) F)))) (* (/ (* (* 1 1) 1) (* (* F F) F)) (* (* (* 1.0 (/ (tan (* PI l)) F)) (* 1.0 (/ (tan (* PI l)) F))) (* 1.0 (/ (tan (* PI l)) F)))) (* (* (* (/ 1 F) (/ 1 F)) (/ 1 F)) (* (* (* 1.0 1.0) 1.0) (/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* F F) F)))) (* (* (* (/ 1 F) (/ 1 F)) (/ 1 F)) (* (* (* 1.0 1.0) 1.0) (* (* (/ (tan (* PI l)) F) (/ (tan (* PI l)) F)) (/ (tan (* PI l)) F)))) (* (* (* (/ 1 F) (/ 1 F)) (/ 1 F)) (* (* (* 1.0 (/ (tan (* PI l)) F)) (* 1.0 (/ (tan (* PI l)) F))) (* 1.0 (/ (tan (* PI l)) F)))) (* (cbrt (* (/ 1 F) (* 1.0 (/ (tan (* PI l)) F)))) (cbrt (* (/ 1 F) (* 1.0 (/ (tan (* PI l)) F))))) (cbrt (* (/ 1 F) (* 1.0 (/ (tan (* PI l)) F)))) (* (* (* (/ 1 F) (* 1.0 (/ (tan (* PI l)) F))) (* (/ 1 F) (* 1.0 (/ (tan (* PI l)) F)))) (* (/ 1 F) (* 1.0 (/ (tan (* PI l)) F)))) (sqrt (* (/ 1 F) (* 1.0 (/ (tan (* PI l)) F)))) (sqrt (* (/ 1 F) (* 1.0 (/ (tan (* PI l)) F)))) (* 1 (* 1.0 (tan (* PI l)))) (* F F) (* (/ 1 F) 1.0) (* (cbrt (/ 1 F)) (* 1.0 (/ (tan (* PI l)) F))) (* (sqrt (/ 1 F)) (* 1.0 (/ (tan (* PI l)) F))) (* (/ (cbrt 1) (cbrt F)) (* 1.0 (/ (tan (* PI l)) F))) (* (/ (cbrt 1) (sqrt F)) (* 1.0 (/ (tan (* PI l)) F))) (* (/ (cbrt 1) F) (* 1.0 (/ (tan (* PI l)) F))) (* (/ (sqrt 1) (cbrt F)) (* 1.0 (/ (tan (* PI l)) F))) (* (/ (sqrt 1) (sqrt F)) (* 1.0 (/ (tan (* PI l)) F))) (* (/ (sqrt 1) F) (* 1.0 (/ (tan (* PI l)) F))) (* (/ 1 (cbrt F)) (* 1.0 (/ (tan (* PI l)) F))) (* (/ 1 (sqrt F)) (* 1.0 (/ (tan (* PI l)) F))) (* (/ 1 F) (* 1.0 (/ (tan (* PI l)) F))) (* (/ 1 F) (* 1.0 (/ (tan (* PI l)) F))) (* (/ 1 F) (* 1.0 (/ (tan (* PI l)) F))) (* (/ 1 F) (* 1.0 (tan (* PI l)))) (* 1 (* 1.0 (/ (tan (* PI l)) 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))) (* PI l) (* PI l) (* PI l) (* PI l) (* PI l) (* 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)))) 2.413 * * [simplify]: iteration 0 : 406 enodes (cost 553 ) 2.422 * * [simplify]: iteration 1 : 2199 enodes (cost 441 ) 2.460 * * [simplify]: iteration 2 : 5002 enodes (cost 434 ) 2.463 * [simplify]: Simplified to: (sin (* PI l)) (cos (* PI l)) (log (tan (* PI l))) (exp (tan (* PI l))) (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l)))) (cbrt (tan (* PI l))) (pow (tan (* PI l)) 3) (sqrt (tan (* PI l))) (sqrt (tan (* PI l))) (* PI l) (log (* PI l)) (log (* PI l)) (exp (* PI l)) (pow (* PI l) 3) (* (cbrt (* PI l)) (cbrt (* PI l))) (cbrt (* PI l)) (pow (* PI l) 3) (sqrt (* PI l)) (sqrt (* PI l)) (* (sqrt PI) (sqrt l)) (* (sqrt PI) (sqrt l)) (* PI (* (cbrt l) (cbrt l))) (* PI (sqrt l)) PI (* (cbrt PI) l) (* (sqrt PI) l) (* PI l) (* PI l) (log (* PI l)) (log (* PI l)) (exp (* PI l)) (pow (* PI l) 3) (* (cbrt (* PI l)) (cbrt (* PI l))) (cbrt (* PI l)) (pow (* PI l) 3) (sqrt (* PI l)) (sqrt (* PI l)) (* (sqrt PI) (sqrt l)) (* (sqrt PI) (sqrt l)) (* PI (* (cbrt l) (cbrt l))) (* PI (sqrt l)) PI (* (cbrt PI) l) (* (sqrt PI) l) (* PI l) (/ (* 1.0 (/ (tan (* PI l)) F)) F) (/ (* 1.0 (/ (tan (* PI l)) F)) F) (log (* (/ 1 F) (* 1.0 (/ (tan (* PI l)) F)))) (log (* (/ 1 F) (* 1.0 (/ (tan (* PI l)) F)))) (log (* (/ 1 F) (* 1.0 (/ (tan (* PI l)) F)))) (log (* (/ 1 F) (* 1.0 (/ (tan (* PI l)) F)))) (log (* (/ 1 F) (* 1.0 (/ (tan (* PI l)) F)))) (log (* (/ 1 F) (* 1.0 (/ (tan (* PI l)) F)))) (log (* (/ 1 F) (* 1.0 (/ (tan (* PI l)) F)))) (log (* (/ 1 F) (* 1.0 (/ (tan (* PI l)) F)))) (log (* (/ 1 F) (* 1.0 (/ (tan (* PI l)) F)))) (log (* (/ 1 F) (* 1.0 (/ (tan (* PI l)) F)))) (log (* (/ 1 F) (* 1.0 (/ (tan (* PI l)) F)))) (log (* (/ 1 F) (* 1.0 (/ (tan (* PI l)) F)))) (log (* (/ 1 F) (* 1.0 (/ (tan (* PI l)) F)))) (pow (exp (/ (tan (* PI l)) F)) (/ 1.0 F)) (pow (/ (* 1.0 (/ (tan (* PI l)) F)) F) 3) (pow (/ (* 1.0 (/ (tan (* PI l)) F)) F) 3) (pow (/ (* 1.0 (/ (tan (* PI l)) F)) F) 3) (pow (/ (* 1.0 (/ (tan (* PI l)) F)) F) 3) (pow (/ (* 1.0 (/ (tan (* PI l)) F)) F) 3) (pow (/ (* 1.0 (/ (tan (* PI l)) F)) F) 3) (* (cbrt (* (/ 1 F) (* 1.0 (/ (tan (* PI l)) F)))) (cbrt (* (/ 1 F) (* 1.0 (/ (tan (* PI l)) F))))) (cbrt (* (/ 1 F) (* 1.0 (/ (tan (* PI l)) F)))) (pow (/ (* 1.0 (/ (tan (* PI l)) F)) F) 3) (sqrt (* (/ 1 F) (* 1.0 (/ (tan (* PI l)) F)))) (sqrt (* (/ 1 F) (* 1.0 (/ (tan (* PI l)) F)))) (* 1.0 (tan (* PI l))) (pow F 2) (/ 1.0 F) (* (cbrt (/ 1 F)) (* 1.0 (/ (tan (* PI l)) F))) (* (sqrt (/ 1 F)) (* 1.0 (/ (tan (* PI l)) F))) (/ (* 1.0 (/ (tan (* PI l)) F)) (cbrt F)) (/ (* 1.0 (/ (tan (* PI l)) F)) (sqrt F)) (/ (* 1.0 (/ (tan (* PI l)) F)) F) (/ (* 1.0 (/ (tan (* PI l)) F)) (cbrt F)) (/ (* 1.0 (/ (tan (* PI l)) F)) (sqrt F)) (/ (* 1.0 (/ (tan (* PI l)) F)) F) (/ (* 1.0 (/ (tan (* PI l)) F)) (cbrt F)) (/ (* 1.0 (/ (tan (* PI l)) F)) (sqrt F)) (/ (* 1.0 (/ (tan (* PI l)) F)) F) (/ (* 1.0 (/ (tan (* PI l)) F)) F) (/ (* 1.0 (/ (tan (* PI l)) F)) F) (* 1.0 (/ (tan (* PI l)) F)) (* 1.0 (/ (tan (* PI l)) 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))) (* PI l) (* PI l) (* PI l) (* PI l) (* PI l) (* 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)))) 2.463 * * * [progress]: adding candidates to table 2.795 * * [progress]: iteration 4 / 4 2.795 * * * [progress]: picking best candidate 2.879 * * * * [pick]: Picked # 2.879 * * * [progress]: localizing error 2.889 * * * [progress]: generating rewritten candidates 2.889 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1) 2.891 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1) 2.895 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 2.898 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 2.904 * * * [progress]: generating series expansions 2.904 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1) 2.904 * [approximate]: Approximating (tan (* PI l)) in (l) around 0 2.967 * [approximate]: Approximating (tan (/ PI l)) in (l) around 0 2.971 * [approximate]: Approximating (tan (* -1 (/ PI l))) in (l) around 0 2.977 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1) 2.977 * [approximate]: Approximating (* PI l) in (l) around 0 2.984 * [approximate]: Approximating (/ PI l) in (l) around 0 2.989 * [approximate]: Approximating (* -1 (/ PI l)) in (l) around 0 3.000 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 3.000 * [approximate]: Approximating (* PI l) in (l) around 0 3.007 * [approximate]: Approximating (/ PI l) in (l) around 0 3.012 * [approximate]: Approximating (* -1 (/ PI l)) in (l) around 0 3.025 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 3.025 * [approximate]: Approximating (/ (tan (* PI l)) F) in (l F) around 0 3.037 * [taylor]: Taking taylor expansion of (/ (tan (* PI l)) F) in F 3.039 * [taylor]: Taking taylor expansion of (/ (tan (* PI l)) F) in F 3.055 * [taylor]: Taking taylor expansion of (/ (tan (* PI l)) F) in F 3.065 * [taylor]: Taking taylor expansion of (/ (tan (* PI l)) F) in F 3.100 * [taylor]: Taking taylor expansion of (/ (tan (* PI l)) F) in F 3.107 * [approximate]: Approximating (* (tan (/ PI l)) F) in (l F) around 0 3.110 * [taylor]: Taking taylor expansion of (* (tan (/ PI l)) F) in F 3.114 * [taylor]: Taking taylor expansion of (* (tan (/ PI l)) F) in F 3.114 * [taylor]: Taking taylor expansion of (* (tan (/ PI l)) F) in F 3.121 * [taylor]: Taking taylor expansion of (* (tan (/ PI l)) F) in F 3.121 * [approximate]: Approximating (* -1 (* (tan (* -1 (/ PI l))) F)) in (l F) around 0 3.126 * [taylor]: Taking taylor expansion of (* -1 (* (tan (* -1 (/ PI l))) F)) in F 3.130 * [taylor]: Taking taylor expansion of (* -1 (* (tan (* -1 (/ PI l))) F)) in F 3.132 * [taylor]: Taking taylor expansion of (* -1 (* (tan (* -1 (/ PI l))) F)) in F 3.141 * [taylor]: Taking taylor expansion of (* -1 (* (tan (* -1 (/ PI l))) F)) in F 3.142 * * * [progress]: simplifying candidates 3.142 * [simplify]: Simplifying using # : (sin (* PI l)) (cos (* PI l)) (log (tan (* PI l))) (exp (tan (* PI l))) (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l)))) (cbrt (tan (* PI l))) (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (sqrt (tan (* PI l))) (sqrt (tan (* PI l))) (* PI l) (+ (log PI) (log l)) (log (* PI l)) (exp (* PI l)) (* (* (* PI PI) PI) (* (* l l) l)) (* (cbrt (* PI l)) (cbrt (* PI l))) (cbrt (* PI l)) (* (* (* PI l) (* PI l)) (* PI l)) (sqrt (* PI l)) (sqrt (* PI l)) (* (sqrt PI) (sqrt l)) (* (sqrt PI) (sqrt l)) (* PI (* (cbrt l) (cbrt l))) (* PI (sqrt l)) (* PI 1) (* (cbrt PI) l) (* (sqrt PI) l) (* PI l) (* PI l) (+ (log PI) (log l)) (log (* PI l)) (exp (* PI l)) (* (* (* PI PI) PI) (* (* l l) l)) (* (cbrt (* PI l)) (cbrt (* PI l))) (cbrt (* PI l)) (* (* (* PI l) (* PI l)) (* PI l)) (sqrt (* PI l)) (sqrt (* PI l)) (* (sqrt PI) (sqrt l)) (* (sqrt PI) (sqrt l)) (* PI (* (cbrt l) (cbrt l))) (* PI (sqrt l)) (* PI 1) (* (cbrt PI) l) (* (sqrt PI) l) (* PI l) (- (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)) (neg (tan (* PI l))) (neg 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)) 3.146 * * [simplify]: iteration 0 : 203 enodes (cost 349 ) 3.150 * * [simplify]: iteration 1 : 665 enodes (cost 322 ) 3.161 * * [simplify]: iteration 2 : 2201 enodes (cost 322 ) 3.200 * * [simplify]: iteration 3 : 5001 enodes (cost 322 ) 3.203 * [simplify]: Simplified to: (sin (* PI l)) (cos (* PI l)) (log (tan (* PI l))) (exp (tan (* PI l))) (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l)))) (cbrt (tan (* PI l))) (pow (tan (* PI l)) 3) (sqrt (tan (* PI l))) (sqrt (tan (* PI l))) (* PI l) (log (* PI l)) (log (* PI l)) (exp (* PI l)) (pow (* PI l) 3) (* (cbrt (* PI l)) (cbrt (* PI l))) (cbrt (* PI l)) (pow (* PI l) 3) (sqrt (* PI l)) (sqrt (* PI l)) (* (sqrt PI) (sqrt l)) (* (sqrt PI) (sqrt l)) (* PI (* (cbrt l) (cbrt l))) (* PI (sqrt l)) PI (* (cbrt PI) l) (* (sqrt PI) l) (* PI l) (* PI l) (log (* PI l)) (log (* PI l)) (exp (* PI l)) (pow (* PI l) 3) (* (cbrt (* PI l)) (cbrt (* PI l))) (cbrt (* PI l)) (pow (* PI l) 3) (sqrt (* PI l)) (sqrt (* PI l)) (* (sqrt PI) (sqrt l)) (* (sqrt PI) (sqrt l)) (* PI (* (cbrt l) (cbrt l))) (* PI (sqrt l)) PI (* (cbrt PI) l) (* (sqrt PI) l) (* PI l) (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)) (neg (tan (* PI l))) (neg 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))) (+ (* 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)) 3.203 * * * [progress]: adding candidates to table 3.615 * [progress]: [Phase 3 of 3] Extracting. 3.615 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # # # # # # # # #) 3.620 * * * [regime-changes]: Trying 5 branch expressions: ((* F F) (/ 1.0 (* F F)) (* PI l) l F) 3.620 * * * * [regimes]: Trying to branch on (* F F) from (# # # # # # # # # # # # # # # # # # # # # #) 3.740 * * * * [regimes]: Trying to branch on (* F F) from (# # # # # # # # #) 3.801 * * * * [regimes]: Trying to branch on (/ 1.0 (* F F)) from (# # # # # # # # # # # # # # # # # # # # # #) 3.917 * * * * [regimes]: Trying to branch on (/ 1.0 (* F F)) from (# # # # # # # # #) 3.979 * * * * [regimes]: Trying to branch on (* PI l) from (# # # # # # # # # # # # # # # # # # # # # #) 4.101 * * * * [regimes]: Trying to branch on l from (# # # # # # # # # # # # # # # # # # # # # #) 4.221 * * * * [regimes]: Trying to branch on F from (# # # # # # # # # # # # # # # # # # # # # #) 4.342 * * * [regime]: Found split indices: #