* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Setting MPFR precision to 1856 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 1856 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 20 additional inputs, on iter 1 have 236 / 256 * * * * [misc]points: Computing exacts for 20 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 2 have 254 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 258 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (- (* PI l) (* (/ 1 (* F F)) (tan (* PI l)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * * [misc]simplify: iters left: 1 (230 enodes) * [exit]simplify: Simplified to (fma (tan (* l PI)) (/ (- 1) (* F F)) (* l PI)) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (tan (* PI l)) in (l) around 0 * [misc]taylor: Taking taylor expansion of (tan (* PI l)) in l * [misc]taylor: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) * [misc]taylor: Taking taylor expansion of (sin (* PI l)) in l * [misc]taylor: Taking taylor expansion of (* PI l) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (cos (* PI l)) in l * [misc]taylor: Taking taylor expansion of (* PI l) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (tan (* PI l)) in l * [misc]taylor: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) * [misc]taylor: Taking taylor expansion of (sin (* PI l)) in l * [misc]taylor: Taking taylor expansion of (* PI l) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (cos (* PI l)) in l * [misc]taylor: Taking taylor expansion of (* PI l) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 (/ (pow PI 3) 6)) into (* -1/6 (pow PI 3)) * [misc]backup-simplify: Simplify (* -1 (/ (pow PI 2) 2)) into (* -1/2 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* -1/6 (pow PI 3)) (* PI (* -1/2 (pow PI 2)))) into (- (* 2/3 (pow PI 3))) * [misc]backup-simplify: Simplify (- (* 2/3 (pow PI 3))) into (- (* 2/3 (pow PI 3))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow PI 5) 120) into (* 1/120 (pow PI 5)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow PI 4) 24) into (* 1/24 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* 1/120 (pow PI 5)) (+ (* PI (* 1/24 (pow PI 4))) (* (- (* 2/3 (pow PI 3))) (* -1/2 (pow PI 2))))) into (* 23/60 (pow PI 5)) * [misc]backup-simplify: Simplify (* 23/60 (pow PI 5)) into (* 23/60 (pow PI 5)) * [misc]backup-simplify: Simplify (+ (* (* 23/60 (pow PI 5)) (pow l 5)) (+ (* (- (* 2/3 (pow PI 3))) (pow l 3)) (* PI l))) into (- (+ (* 23/60 (* (pow PI 5) (pow l 5))) (* PI l)) (* 2/3 (* (pow PI 3) (pow l 3)))) * [misc]approximate: Taking taylor expansion of (tan (* PI (/ 1 l))) in (l) around 0 * [misc]taylor: Taking taylor expansion of (tan (* PI (/ 1 l))) in l * [misc]taylor: Rewrote expression to (/ (sin (* PI (/ 1 l))) (cos (* PI (/ 1 l)))) * [misc]taylor: Taking taylor expansion of (sin (* PI (/ 1 l))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 l)) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (sin (* PI (/ 1 l))) into (sin (/ PI l)) * [misc]taylor: Taking taylor expansion of (cos (* PI (/ 1 l))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 l)) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (cos (* PI (/ 1 l))) into (cos (/ PI l)) * [misc]backup-simplify: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]taylor: Taking taylor expansion of (tan (* PI (/ 1 l))) in l * [misc]taylor: Rewrote expression to (/ (sin (* PI (/ 1 l))) (cos (* PI (/ 1 l)))) * [misc]taylor: Taking taylor expansion of (sin (* PI (/ 1 l))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 l)) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (sin (* PI (/ 1 l))) into (sin (/ PI l)) * [misc]taylor: Taking taylor expansion of (cos (* PI (/ 1 l))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 l)) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (cos (* PI (/ 1 l))) into (cos (/ PI l)) * [misc]backup-simplify: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]backup-simplify: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (sin (/ PI (/ 1 l))) (cos (/ PI (/ 1 l)))) into (/ (sin (* PI l)) (cos (* PI l))) * [misc]approximate: Taking taylor expansion of (tan (* PI (/ 1 (- l)))) in (l) around 0 * [misc]taylor: Taking taylor expansion of (tan (* PI (/ 1 (- l)))) in l * [misc]taylor: Rewrote expression to (/ (sin (* PI (/ 1 (- l)))) (cos (* PI (/ 1 (- l))))) * [misc]taylor: Taking taylor expansion of (sin (* PI (/ 1 (- l)))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- l))) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (sin (* PI (/ 1 (- l)))) into (sin (* -1 (/ PI l))) * [misc]taylor: Taking taylor expansion of (cos (* PI (/ 1 (- l)))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- l))) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (cos (* PI (/ 1 (- l)))) into (cos (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) * [misc]taylor: Taking taylor expansion of (tan (* PI (/ 1 (- l)))) in l * [misc]taylor: Rewrote expression to (/ (sin (* PI (/ 1 (- l)))) (cos (* PI (/ 1 (- l))))) * [misc]taylor: Taking taylor expansion of (sin (* PI (/ 1 (- l)))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- l))) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (sin (* PI (/ 1 (- l)))) into (sin (* -1 (/ PI l))) * [misc]taylor: Taking taylor expansion of (cos (* PI (/ 1 (- l)))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- l))) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (cos (* PI (/ 1 (- l)))) into (cos (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) * [misc]backup-simplify: Simplify (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) * [misc]backup-simplify: Simplify (+ (/ 0 (cos (* -1 (/ PI l)))) (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (* -1 (/ PI l)))) (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (* -1 (/ PI l)))) (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (* -1 (/ PI l)))) (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (* -1 (/ PI l)))) (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (* -1 (/ PI l)))) (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (sin (* -1 (/ PI (/ 1 (- l))))) (cos (* -1 (/ PI (/ 1 (- l)))))) into (/ (sin (* PI l)) (cos (* PI l))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (* (/ 1 (* F F)) (tan (* PI l))) in (F l) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* F F)) (tan (* PI l))) in l * [misc]taylor: Taking taylor expansion of (/ 1 (* F F)) in l * [misc]taylor: Taking taylor expansion of (* F F) in l * [misc]taylor: Taking taylor expansion of F in l * [misc]backup-simplify: Simplify F into F * [misc]taylor: Taking taylor expansion of F in l * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify (* F F) into (pow F 2) * [misc]backup-simplify: Simplify (/ 1 (pow F 2)) into (/ 1 (pow F 2)) * [misc]taylor: Taking taylor expansion of (tan (* PI l)) in l * [misc]taylor: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) * [misc]taylor: Taking taylor expansion of (sin (* PI l)) in l * [misc]taylor: Taking taylor expansion of (* PI l) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (cos (* PI l)) in l * [misc]taylor: Taking taylor expansion of (* PI l) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (/ 1 (* F F)) (tan (* PI l))) in F * [misc]taylor: Taking taylor expansion of (/ 1 (* F F)) in F * [misc]taylor: Taking taylor expansion of (* F F) in F * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (tan (* PI l)) in F * [misc]taylor: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) * [misc]taylor: Taking taylor expansion of (sin (* PI l)) in F * [misc]taylor: Taking taylor expansion of (* PI l) in F * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in F * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (* PI l) into (* PI l) * [misc]backup-simplify: Simplify (sin (* PI l)) into (sin (* PI l)) * [misc]backup-simplify: Simplify (cos (* PI l)) into (cos (* PI l)) * [misc]taylor: Taking taylor expansion of (cos (* PI l)) in F * [misc]taylor: Taking taylor expansion of (* PI l) in F * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in F * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (* PI l) into (* PI l) * [misc]backup-simplify: Simplify (cos (* PI l)) into (cos (* PI l)) * [misc]backup-simplify: Simplify (sin (* PI l)) into (sin (* PI l)) * [misc]backup-simplify: Simplify (sin (* PI l)) into (sin (* PI l)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sin (* PI l)) into (sin (* PI l)) * [misc]backup-simplify: Simplify (cos (* PI l)) into (cos (* PI l)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (* PI l)) into (cos (* PI l)) * [misc]backup-simplify: Simplify (/ (sin (* PI l)) (cos (* PI l))) into (/ (sin (* PI l)) (cos (* PI l))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (* F F)) (tan (* PI l))) in F * [misc]taylor: Taking taylor expansion of (/ 1 (* F F)) in F * [misc]taylor: Taking taylor expansion of (* F F) in F * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (tan (* PI l)) in F * [misc]taylor: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) * [misc]taylor: Taking taylor expansion of (sin (* PI l)) in F * [misc]taylor: Taking taylor expansion of (* PI l) in F * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in F * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (* PI l) into (* PI l) * [misc]backup-simplify: Simplify (sin (* PI l)) into (sin (* PI l)) * [misc]backup-simplify: Simplify (cos (* PI l)) into (cos (* PI l)) * [misc]taylor: Taking taylor expansion of (cos (* PI l)) in F * [misc]taylor: Taking taylor expansion of (* PI l) in F * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in F * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (* PI l) into (* PI l) * [misc]backup-simplify: Simplify (cos (* PI l)) into (cos (* PI l)) * [misc]backup-simplify: Simplify (sin (* PI l)) into (sin (* PI l)) * [misc]backup-simplify: Simplify (sin (* PI l)) into (sin (* PI l)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sin (* PI l)) into (sin (* PI l)) * [misc]backup-simplify: Simplify (cos (* PI l)) into (cos (* PI l)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (* PI l)) into (cos (* PI l)) * [misc]backup-simplify: Simplify (/ (sin (* PI l)) (cos (* PI l))) into (/ (sin (* PI l)) (cos (* PI l))) * [misc]backup-simplify: Simplify (/ (sin (* PI l)) (cos (* PI l))) into (/ (sin (* PI l)) (cos (* PI l))) * [misc]taylor: Taking taylor expansion of (/ (sin (* PI l)) (cos (* PI l))) in l * [misc]taylor: Taking taylor expansion of (sin (* PI l)) in l * [misc]taylor: Taking taylor expansion of (* PI l) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (cos (* PI l)) in l * [misc]taylor: Taking taylor expansion of (* PI l) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (* PI l))) (* (/ (sin (* PI l)) (cos (* PI l))) (/ 0 (cos (* PI l))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (* PI l))) (* (/ (sin (* PI l)) (cos (* PI l))) (/ 0 (cos (* PI l))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 (/ (pow PI 3) 6)) into (* -1/6 (pow PI 3)) * [misc]backup-simplify: Simplify (* -1 (/ (pow PI 2) 2)) into (* -1/2 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* -1/6 (pow PI 3)) (* PI (* -1/2 (pow PI 2)))) into (- (* 2/3 (pow PI 3))) * [misc]backup-simplify: Simplify (- (* 2/3 (pow PI 3))) into (- (* 2/3 (pow PI 3))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (* PI l))) (* (/ (sin (* PI l)) (cos (* PI l))) (/ 0 (cos (* PI l))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (* PI l))) (* (/ (sin (* PI l)) (cos (* PI l))) (/ 0 (cos (* PI l))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- (* 2/3 (pow PI 3))) (* (pow l 3) (pow F -2))) (* PI (* l (pow F -2)))) into (- (/ (* PI l) (pow F 2)) (* 2/3 (/ (* (pow PI 3) (pow l 3)) (pow F 2)))) * [misc]approximate: Taking taylor expansion of (* (/ 1 (* (/ 1 F) (/ 1 F))) (tan (* PI (/ 1 l)))) in (F l) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (/ 1 F) (/ 1 F))) (tan (* PI (/ 1 l)))) in l * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 F) (/ 1 F))) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 F) (/ 1 F)) in l * [misc]taylor: Taking taylor expansion of (/ 1 F) in l * [misc]taylor: Taking taylor expansion of F in l * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify (/ 1 F) into (/ 1 F) * [misc]taylor: Taking taylor expansion of (/ 1 F) in l * [misc]taylor: Taking taylor expansion of F in l * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify (/ 1 F) into (/ 1 F) * [misc]backup-simplify: Simplify (* (/ 1 F) (/ 1 F)) into (/ 1 (pow F 2)) * [misc]backup-simplify: Simplify (/ 1 (/ 1 (pow F 2))) into (pow F 2) * [misc]taylor: Taking taylor expansion of (tan (* PI (/ 1 l))) in l * [misc]taylor: Rewrote expression to (/ (sin (* PI (/ 1 l))) (cos (* PI (/ 1 l)))) * [misc]taylor: Taking taylor expansion of (sin (* PI (/ 1 l))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 l)) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (sin (* PI (/ 1 l))) into (sin (/ PI l)) * [misc]taylor: Taking taylor expansion of (cos (* PI (/ 1 l))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 l)) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (cos (* PI (/ 1 l))) into (cos (/ PI l)) * [misc]backup-simplify: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (/ 1 F) (/ 1 F))) (tan (* PI (/ 1 l)))) in F * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 F) (/ 1 F))) in F * [misc]taylor: Taking taylor expansion of (* (/ 1 F) (/ 1 F)) in F * [misc]taylor: Taking taylor expansion of (/ 1 F) in F * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 F) in F * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (tan (* PI (/ 1 l))) in F * [misc]taylor: Rewrote expression to (/ (sin (* PI (/ 1 l))) (cos (* PI (/ 1 l)))) * [misc]taylor: Taking taylor expansion of (sin (* PI (/ 1 l))) in F * [misc]taylor: Taking taylor expansion of (* PI (/ 1 l)) in F * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 l) in F * [misc]taylor: Taking taylor expansion of l in F * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ 1 l) into (/ 1 l) * [misc]backup-simplify: Simplify (* PI (/ 1 l)) into (/ PI l) * [misc]backup-simplify: Simplify (sin (/ PI l)) into (sin (/ PI l)) * [misc]backup-simplify: Simplify (cos (/ PI l)) into (cos (/ PI l)) * [misc]taylor: Taking taylor expansion of (cos (* PI (/ 1 l))) in F * [misc]taylor: Taking taylor expansion of (* PI (/ 1 l)) in F * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 l) in F * [misc]taylor: Taking taylor expansion of l in F * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ 1 l) into (/ 1 l) * [misc]backup-simplify: Simplify (* PI (/ 1 l)) into (/ PI l) * [misc]backup-simplify: Simplify (cos (/ PI l)) into (cos (/ PI l)) * [misc]backup-simplify: Simplify (sin (/ PI l)) into (sin (/ PI l)) * [misc]backup-simplify: Simplify (sin (/ PI l)) into (sin (/ PI l)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sin (/ PI l)) into (sin (/ PI l)) * [misc]backup-simplify: Simplify (cos (/ PI l)) into (cos (/ PI l)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (/ PI l)) into (cos (/ PI l)) * [misc]backup-simplify: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (/ 1 F) (/ 1 F))) (tan (* PI (/ 1 l)))) in F * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 F) (/ 1 F))) in F * [misc]taylor: Taking taylor expansion of (* (/ 1 F) (/ 1 F)) in F * [misc]taylor: Taking taylor expansion of (/ 1 F) in F * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 F) in F * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (tan (* PI (/ 1 l))) in F * [misc]taylor: Rewrote expression to (/ (sin (* PI (/ 1 l))) (cos (* PI (/ 1 l)))) * [misc]taylor: Taking taylor expansion of (sin (* PI (/ 1 l))) in F * [misc]taylor: Taking taylor expansion of (* PI (/ 1 l)) in F * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 l) in F * [misc]taylor: Taking taylor expansion of l in F * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ 1 l) into (/ 1 l) * [misc]backup-simplify: Simplify (* PI (/ 1 l)) into (/ PI l) * [misc]backup-simplify: Simplify (sin (/ PI l)) into (sin (/ PI l)) * [misc]backup-simplify: Simplify (cos (/ PI l)) into (cos (/ PI l)) * [misc]taylor: Taking taylor expansion of (cos (* PI (/ 1 l))) in F * [misc]taylor: Taking taylor expansion of (* PI (/ 1 l)) in F * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 l) in F * [misc]taylor: Taking taylor expansion of l in F * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ 1 l) into (/ 1 l) * [misc]backup-simplify: Simplify (* PI (/ 1 l)) into (/ PI l) * [misc]backup-simplify: Simplify (cos (/ PI l)) into (cos (/ PI l)) * [misc]backup-simplify: Simplify (sin (/ PI l)) into (sin (/ PI l)) * [misc]backup-simplify: Simplify (sin (/ PI l)) into (sin (/ PI l)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sin (/ PI l)) into (sin (/ PI l)) * [misc]backup-simplify: Simplify (cos (/ PI l)) into (cos (/ PI l)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (/ PI l)) into (cos (/ PI l)) * [misc]backup-simplify: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]backup-simplify: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]taylor: Taking taylor expansion of (/ (sin (/ PI l)) (cos (/ PI l))) in l * [misc]taylor: Taking taylor expansion of (sin (/ PI l)) in l * [misc]taylor: Taking taylor expansion of (/ PI l) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (sin (/ PI l)) into (sin (/ PI l)) * [misc]taylor: Taking taylor expansion of (cos (/ PI l)) in l * [misc]taylor: Taking taylor expansion of (/ PI l) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (cos (/ PI l)) into (cos (/ PI l)) * [misc]backup-simplify: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]backup-simplify: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 1 l) (/ 0 l)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 1 l) (/ 0 l)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 1 l) (/ 0 l)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 1 l) (/ 0 l)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 1 l) (/ 0 l)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 1 l) (/ 0 l)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ (sin (/ PI (/ 1 l))) (cos (/ PI (/ 1 l)))) (pow (/ 1 F) 2)) into (/ (sin (* PI l)) (* (pow F 2) (cos (* PI l)))) * [misc]approximate: Taking taylor expansion of (* (/ 1 (* (/ 1 (- F)) (/ 1 (- F)))) (tan (* PI (/ 1 (- l))))) in (F l) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (/ 1 (- F)) (/ 1 (- F)))) (tan (* PI (/ 1 (- l))))) in l * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 (- F)) (/ 1 (- F)))) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 (- F)) (/ 1 (- F))) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- F)) in l * [misc]taylor: Taking taylor expansion of (- F) in l * [misc]taylor: Taking taylor expansion of F in l * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify (/ 1 F) into (/ 1 F) * [misc]taylor: Taking taylor expansion of (/ 1 (- F)) in l * [misc]taylor: Taking taylor expansion of (- F) in l * [misc]taylor: Taking taylor expansion of F in l * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify (/ 1 F) into (/ 1 F) * [misc]backup-simplify: Simplify (* (/ 1 F) (/ 1 F)) into (/ 1 (pow F 2)) * [misc]backup-simplify: Simplify (/ 1 (/ 1 (pow F 2))) into (pow F 2) * [misc]taylor: Taking taylor expansion of (tan (* PI (/ 1 (- l)))) in l * [misc]taylor: Rewrote expression to (/ (sin (* PI (/ 1 (- l)))) (cos (* PI (/ 1 (- l))))) * [misc]taylor: Taking taylor expansion of (sin (* PI (/ 1 (- l)))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- l))) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (sin (* PI (/ 1 (- l)))) into (sin (* -1 (/ PI l))) * [misc]taylor: Taking taylor expansion of (cos (* PI (/ 1 (- l)))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- l))) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (cos (* PI (/ 1 (- l)))) into (cos (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (/ 1 (- F)) (/ 1 (- F)))) (tan (* PI (/ 1 (- l))))) in F * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 (- F)) (/ 1 (- F)))) in F * [misc]taylor: Taking taylor expansion of (* (/ 1 (- F)) (/ 1 (- F))) in F * [misc]taylor: Taking taylor expansion of (/ 1 (- F)) in F * [misc]taylor: Taking taylor expansion of (- F) in F * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- F)) in F * [misc]taylor: Taking taylor expansion of (- F) in F * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (tan (* PI (/ 1 (- l)))) in F * [misc]taylor: Rewrote expression to (/ (sin (* PI (/ 1 (- l)))) (cos (* PI (/ 1 (- l))))) * [misc]taylor: Taking taylor expansion of (sin (* PI (/ 1 (- l)))) in F * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- l))) in F * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in F * [misc]taylor: Taking taylor expansion of (- l) in F * [misc]taylor: Taking taylor expansion of l in F * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ 1 l) into (/ 1 l) * [misc]backup-simplify: Simplify (* PI (/ 1 l)) into (/ PI l) * [misc]backup-simplify: Simplify (sin (/ PI l)) into (sin (/ PI l)) * [misc]backup-simplify: Simplify (cos (/ PI l)) into (cos (/ PI l)) * [misc]taylor: Taking taylor expansion of (cos (* PI (/ 1 (- l)))) in F * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- l))) in F * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in F * [misc]taylor: Taking taylor expansion of (- l) in F * [misc]taylor: Taking taylor expansion of l in F * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ 1 l) into (/ 1 l) * [misc]backup-simplify: Simplify (* PI (/ 1 l)) into (/ PI l) * [misc]backup-simplify: Simplify (cos (/ PI l)) into (cos (/ PI l)) * [misc]backup-simplify: Simplify (sin (/ PI l)) into (sin (/ PI l)) * [misc]backup-simplify: Simplify (sin (/ PI l)) into (sin (/ PI l)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sin (/ PI l)) into (sin (/ PI l)) * [misc]backup-simplify: Simplify (cos (/ PI l)) into (cos (/ PI l)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (/ PI l)) into (cos (/ PI l)) * [misc]backup-simplify: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (/ 1 (- F)) (/ 1 (- F)))) (tan (* PI (/ 1 (- l))))) in F * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 (- F)) (/ 1 (- F)))) in F * [misc]taylor: Taking taylor expansion of (* (/ 1 (- F)) (/ 1 (- F))) in F * [misc]taylor: Taking taylor expansion of (/ 1 (- F)) in F * [misc]taylor: Taking taylor expansion of (- F) in F * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- F)) in F * [misc]taylor: Taking taylor expansion of (- F) in F * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (tan (* PI (/ 1 (- l)))) in F * [misc]taylor: Rewrote expression to (/ (sin (* PI (/ 1 (- l)))) (cos (* PI (/ 1 (- l))))) * [misc]taylor: Taking taylor expansion of (sin (* PI (/ 1 (- l)))) in F * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- l))) in F * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in F * [misc]taylor: Taking taylor expansion of (- l) in F * [misc]taylor: Taking taylor expansion of l in F * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ 1 l) into (/ 1 l) * [misc]backup-simplify: Simplify (* PI (/ 1 l)) into (/ PI l) * [misc]backup-simplify: Simplify (sin (/ PI l)) into (sin (/ PI l)) * [misc]backup-simplify: Simplify (cos (/ PI l)) into (cos (/ PI l)) * [misc]taylor: Taking taylor expansion of (cos (* PI (/ 1 (- l)))) in F * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- l))) in F * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in F * [misc]taylor: Taking taylor expansion of (- l) in F * [misc]taylor: Taking taylor expansion of l in F * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ 1 l) into (/ 1 l) * [misc]backup-simplify: Simplify (* PI (/ 1 l)) into (/ PI l) * [misc]backup-simplify: Simplify (cos (/ PI l)) into (cos (/ PI l)) * [misc]backup-simplify: Simplify (sin (/ PI l)) into (sin (/ PI l)) * [misc]backup-simplify: Simplify (sin (/ PI l)) into (sin (/ PI l)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sin (/ PI l)) into (sin (/ PI l)) * [misc]backup-simplify: Simplify (cos (/ PI l)) into (cos (/ PI l)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (/ PI l)) into (cos (/ PI l)) * [misc]backup-simplify: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]backup-simplify: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]taylor: Taking taylor expansion of (/ (sin (/ PI l)) (cos (/ PI l))) in l * [misc]taylor: Taking taylor expansion of (sin (/ PI l)) in l * [misc]taylor: Taking taylor expansion of (/ PI l) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (sin (/ PI l)) into (sin (/ PI l)) * [misc]taylor: Taking taylor expansion of (cos (/ PI l)) in l * [misc]taylor: Taking taylor expansion of (/ PI l) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (cos (/ PI l)) into (cos (/ PI l)) * [misc]backup-simplify: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]backup-simplify: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (* (/ 1 l) (/ 0 l)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (* (/ 1 l) (/ 0 l)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (* (/ 1 l) (/ 0 l)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (* (/ 1 l) (/ 0 l)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (* (/ 1 l) (/ 0 l)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (* (/ 1 l) (/ 0 l)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ (sin (/ PI (/ 1 (- l)))) (cos (/ PI (/ 1 (- l))))) (pow (/ 1 (- F)) 2)) into (/ (sin (* -1 (* PI l))) (* (cos (* -1 (* PI l))) (pow F 2))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (/ 1 (* F F)) in (F) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (* F F)) in F * [misc]taylor: Taking taylor expansion of (* F F) in F * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (* F F)) in F * [misc]taylor: Taking taylor expansion of (* F F) in F * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (/ 1 F) 2) into (pow (/ 1 F) 2) * [misc]approximate: Taking taylor expansion of (/ 1 (* (/ 1 F) (/ 1 F))) in (F) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 F) (/ 1 F))) in F * [misc]taylor: Taking taylor expansion of (* (/ 1 F) (/ 1 F)) in F * [misc]taylor: Taking taylor expansion of (/ 1 F) in F * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 F) in F * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 F) (/ 1 F))) in F * [misc]taylor: Taking taylor expansion of (* (/ 1 F) (/ 1 F)) in F * [misc]taylor: Taking taylor expansion of (/ 1 F) in F * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 F) in F * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (/ 1 F) 2) into (pow (/ 1 F) 2) * [misc]approximate: Taking taylor expansion of (/ 1 (* (/ 1 (- F)) (/ 1 (- F)))) in (F) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 (- F)) (/ 1 (- F)))) in F * [misc]taylor: Taking taylor expansion of (* (/ 1 (- F)) (/ 1 (- F))) in F * [misc]taylor: Taking taylor expansion of (/ 1 (- F)) in F * [misc]taylor: Taking taylor expansion of (- F) in F * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- F)) in F * [misc]taylor: Taking taylor expansion of (- F) in F * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 (- F)) (/ 1 (- F)))) in F * [misc]taylor: Taking taylor expansion of (* (/ 1 (- F)) (/ 1 (- F))) in F * [misc]taylor: Taking taylor expansion of (/ 1 (- F)) in F * [misc]taylor: Taking taylor expansion of (- F) in F * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- F)) in F * [misc]taylor: Taking taylor expansion of (- F) in F * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (/ 1 (- F)) 2) into (pow (/ -1 F) 2) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 2 1) * [misc]approximate: Taking taylor expansion of (* PI l) in (l) around 0 * [misc]taylor: Taking taylor expansion of (* PI l) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* PI l) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* PI l) into (* PI l) * [misc]approximate: Taking taylor expansion of (* PI (/ 1 l)) in (l) around 0 * [misc]taylor: Taking taylor expansion of (* PI (/ 1 l)) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* PI (/ 1 l)) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* PI (/ 1 (/ 1 l))) into (* PI l) * [misc]approximate: Taking taylor expansion of (* PI (/ 1 (- l))) in (l) around 0 * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- l))) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- l))) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -1 PI) (/ 1 (/ 1 (- l)))) into (* PI l) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (tan (* PI l))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (expm1 (tan (* l PI))) * [exit]simplify: Simplified to (expm1 (tan (* l PI))) * * * * [misc]progress: [ 2 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (tan (* PI l))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (log1p (tan (* l PI))) * [exit]simplify: Simplified to (log1p (tan (* l PI))) * * * * [misc]progress: [ 3 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (sin (* PI l)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sin (* l PI)) * [exit]simplify: Simplified to (sin (* l PI)) * [enter]simplify: Simplifying (cos (* PI l)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cos (* l PI)) * [exit]simplify: Simplified to (cos (* l PI)) * * * * [misc]progress: [ 4 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (log (tan (* PI l))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (log (tan (* l PI))) * [exit]simplify: Simplified to (log (tan (* l PI))) * * * * [misc]progress: [ 6 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (tan (* PI l))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (exp (tan (* l PI))) * [exit]simplify: Simplified to (exp (tan (* l PI))) * * * * [misc]progress: [ 7 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (tan (* l PI))) (cbrt (tan (* l PI)))) * [exit]simplify: Simplified to (* (cbrt (tan (* l PI))) (cbrt (tan (* l PI)))) * [enter]simplify: Simplifying (cbrt (tan (* PI l))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (tan (* l PI))) * [exit]simplify: Simplified to (cbrt (tan (* l PI))) * * * * [misc]progress: [ 8 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (pow (tan (* l PI)) 3) * [exit]simplify: Simplified to (pow (tan (* l PI)) 3) * * * * [misc]progress: [ 9 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (tan (* PI l))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (tan (* l PI))) * [exit]simplify: Simplified to (sqrt (tan (* l PI))) * [enter]simplify: Simplifying (sqrt (tan (* PI l))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (tan (* l PI))) * [exit]simplify: Simplified to (sqrt (tan (* l PI))) * * * * [misc]progress: [ 10 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (/ 1 (* F F)) (tan (* PI l)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (94 enodes) * [exit]simplify: Simplified to (expm1 (/ (tan (* l PI)) (* F F))) * [exit]simplify: Simplified to (expm1 (/ (tan (* l PI)) (* F F))) * * * * [misc]progress: [ 12 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (/ 1 (* F F)) (tan (* PI l)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (94 enodes) * [exit]simplify: Simplified to (log1p (/ (tan (* l PI)) (* F F))) * [exit]simplify: Simplified to (log1p (/ (tan (* l PI)) (* F F))) * * * * [misc]progress: [ 13 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (* F F)) (tan (* PI l))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * [exit]simplify: Simplified to (/ (tan (* l PI)) (* F F)) * [exit]simplify: Simplified to (/ (tan (* l PI)) (* F F)) * * * * [misc]progress: [ 14 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (* F F))) (log (tan (* PI l)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (- (log (tan (* l PI))) (log (* F F))) * [exit]simplify: Simplified to (- (log (tan (* l PI))) (log (* F F))) * * * * [misc]progress: [ 16 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ 1 (* F F))) (log (tan (* PI l)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (452 enodes) * [exit]simplify: Simplified to (- (log (tan (* l PI))) (+ (log F) (log F))) * [exit]simplify: Simplified to (- (log (tan (* l PI))) (+ (log F) (log F))) * * * * [misc]progress: [ 17 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (/ 1 (* F F)) (tan (* PI l)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (198 enodes) * * [misc]simplify: iters left: 1 (324 enodes) * [exit]simplify: Simplified to (log (/ (tan (* l PI)) (* F F))) * [exit]simplify: Simplified to (log (/ (tan (* l PI)) (* F F))) * * * * [misc]progress: [ 18 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (/ 1 (* F F)) (tan (* PI l)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * [exit]simplify: Simplified to (exp (/ (tan (* l PI)) (* F F))) * [exit]simplify: Simplified to (exp (/ (tan (* l PI)) (* F F))) * * * * [misc]progress: [ 19 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ 1 (* F F)) (/ 1 (* F F))) (/ 1 (* F F))) (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (294 enodes) * [exit]simplify: Simplified to (/ (pow (tan (* l PI)) 3) (/ (* (* F F) (* F F)) (/ 1 (* F F)))) * [exit]simplify: Simplified to (/ (pow (tan (* l PI)) 3) (/ (* (* F F) (* F F)) (/ 1 (* F F)))) * * * * [misc]progress: [ 20 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (/ 1 (* F F)) (tan (* PI l)))) (cbrt (* (/ 1 (* F F)) (tan (* PI l))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (tan (* l PI)) (* F F))) (cbrt (/ (tan (* l PI)) (* F F)))) * [exit]simplify: Simplified to (* (cbrt (/ (tan (* l PI)) (* F F))) (cbrt (/ (tan (* l PI)) (* F F)))) * [enter]simplify: Simplifying (cbrt (* (/ 1 (* F F)) (tan (* PI l)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (94 enodes) * [exit]simplify: Simplified to (cbrt (/ (tan (* l PI)) (* F F))) * [exit]simplify: Simplified to (cbrt (/ (tan (* l PI)) (* F F))) * * * * [misc]progress: [ 21 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ 1 (* F F)) (tan (* PI l))) (* (/ 1 (* F F)) (tan (* PI l)))) (* (/ 1 (* F F)) (tan (* PI l)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (361 enodes) * [exit]simplify: Simplified to (pow (/ (tan (* l PI)) (* F F)) 3) * [exit]simplify: Simplified to (pow (/ (tan (* l PI)) (* F F)) 3) * * * * [misc]progress: [ 22 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (/ 1 (* F F)) (tan (* PI l)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (94 enodes) * [exit]simplify: Simplified to (sqrt (/ (tan (* l PI)) (* F F))) * [exit]simplify: Simplified to (sqrt (/ (tan (* l PI)) (* F F))) * [enter]simplify: Simplifying (sqrt (* (/ 1 (* F F)) (tan (* PI l)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (94 enodes) * [exit]simplify: Simplified to (sqrt (/ (tan (* l PI)) (* F F))) * [exit]simplify: Simplified to (sqrt (/ (tan (* l PI)) (* F F))) * * * * [misc]progress: [ 23 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (sin (* PI l))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (sin (* l PI)) * [exit]simplify: Simplified to (sin (* l PI)) * [enter]simplify: Simplifying (* (* F F) (cos (* PI l))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * [exit]simplify: Simplified to (* (cos (* PI l)) (* F F)) * [exit]simplify: Simplified to (* (cos (* PI l)) (* F F)) * * * * [misc]progress: [ 24 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (* F F)) (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (181 enodes) * * [misc]simplify: iters left: 1 (232 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (tan (* l PI))) F) (/ (cbrt (tan (* l PI))) F)) * [exit]simplify: Simplified to (* (/ (cbrt (tan (* l PI))) F) (/ (cbrt (tan (* l PI))) F)) * * * * [misc]progress: [ 26 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (* F F)) (sqrt (tan (* PI l)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (/ (sqrt (tan (* l PI))) (* F F)) * [exit]simplify: Simplified to (/ (sqrt (tan (* l PI))) (* F F)) * * * * [misc]progress: [ 27 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (* F F)) 1) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (* (/ 1 F) (/ 1 F)) * [exit]simplify: Simplified to (* (/ 1 F) (/ 1 F)) * * * * [misc]progress: [ 28 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 1 (* F F))) (tan (* PI l))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (* (tan (* l PI)) (cbrt (/ 1 (* F F)))) * [exit]simplify: Simplified to (* (tan (* l PI)) (cbrt (/ 1 (* F F)))) * * * * [misc]progress: [ 29 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 1 (* F F))) (tan (* PI l))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (* (tan (* l PI)) (sqrt (/ 1 (* F F)))) * [exit]simplify: Simplified to (* (tan (* l PI)) (sqrt (/ 1 (* F F)))) * * * * [misc]progress: [ 30 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (* F F)) (tan (* PI l))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * [exit]simplify: Simplified to (/ (tan (* l PI)) (* F F)) * [exit]simplify: Simplified to (/ (tan (* l PI)) (* F F)) * * * * [misc]progress: [ 31 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (* F F)) (tan (* PI l))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * [exit]simplify: Simplified to (/ (tan (* l PI)) (* F F)) * [exit]simplify: Simplified to (/ (tan (* l PI)) (* F F)) * * * * [misc]progress: [ 32 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (* F F)) (sin (* PI l))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * [exit]simplify: Simplified to (/ (sin (* l PI)) (* F F)) * [exit]simplify: Simplified to (/ (sin (* l PI)) (* F F)) * * * * [misc]progress: [ 33 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (tan (* PI l))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (tan (* l PI)) * [exit]simplify: Simplified to (tan (* l PI)) * * * * [misc]progress: [ 34 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ 1 (* F F))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (expm1 (/ (/ 1 F) F)) * [exit]simplify: Simplified to (expm1 (/ (/ 1 F) F)) * * * * [misc]progress: [ 36 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ 1 (* F F))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (log1p (/ (/ 1 F) F)) * [exit]simplify: Simplified to (log1p (/ (/ 1 F) F)) * * * * [misc]progress: [ 37 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (- 2) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- 2) * [exit]simplify: Simplified to (- 2) * * * * [misc]progress: [ 39 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (- 1) * [exit]simplify: Simplified to (- 1) * * * * [misc]progress: [ 40 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (* F F))) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (- (+ (log F) (log F))) * [exit]simplify: Simplified to (- (+ (log F) (log F))) * * * * [misc]progress: [ 42 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (* F F))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (- (- (log F)) (log F)) * [exit]simplify: Simplified to (- (- (log F)) (log F)) * * * * [misc]progress: [ 43 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ 1 (* F F))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (exp (/ (/ 1 F) F)) * [exit]simplify: Simplified to (exp (/ (/ 1 F) F)) * * * * [misc]progress: [ 44 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 1 (* F F))) (cbrt (/ 1 (* F F)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ 1 F) F)) (cbrt (/ (/ 1 F) F))) * [exit]simplify: Simplified to (* (cbrt (/ (/ 1 F) F)) (cbrt (/ (/ 1 F) F))) * [enter]simplify: Simplifying (cbrt (/ 1 (* F F))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 F) F)) * [exit]simplify: Simplified to (cbrt (/ (/ 1 F) F)) * * * * [misc]progress: [ 45 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ 1 (* F F)) (/ 1 (* F F))) (/ 1 (* F F))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (137 enodes) * * [misc]simplify: iters left: 2 (233 enodes) * * [misc]simplify: iters left: 1 (305 enodes) * [exit]simplify: Simplified to (* (/ (/ 1 F) (* F F)) (/ (/ 1 F) (* F F))) * [exit]simplify: Simplified to (* (/ (/ 1 F) (* F F)) (/ (/ 1 F) (* F F))) * * * * [misc]progress: [ 46 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (* F F))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 1 F) F)) * [exit]simplify: Simplified to (sqrt (/ (/ 1 F) F)) * [enter]simplify: Simplifying (sqrt (/ 1 (* F F))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 1 F) F)) * [exit]simplify: Simplified to (sqrt (/ (/ 1 F) F)) * * * * [misc]progress: [ 47 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (- 1) * [exit]simplify: Simplified to (- 1) * [enter]simplify: Simplifying (- (* F F)) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (* (- F) F) * [exit]simplify: Simplified to (* (- F) F) * * * * [misc]progress: [ 48 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* F F)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ (/ 1 F) F) * [exit]simplify: Simplified to (/ (/ 1 F) F) * * * * [misc]progress: [ 50 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* F F) 1) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* F F) * [exit]simplify: Simplified to (* F F) * * * * [misc]progress: [ 51 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 F) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 F) * [exit]simplify: Simplified to (/ 1 F) * * * * [misc]progress: [ 52 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* PI l)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (expm1 (* l PI)) * [exit]simplify: Simplified to (expm1 (* l PI)) * * * * [misc]progress: [ 53 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* PI l)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (log1p (* l PI)) * [exit]simplify: Simplified to (log1p (* l PI)) * * * * [misc]progress: [ 54 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* PI l)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (log (* l PI)) * [exit]simplify: Simplified to (log (* l PI)) * * * * [misc]progress: [ 56 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* PI l)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (exp (* l PI)) * [exit]simplify: Simplified to (exp (* l PI)) * * * * [misc]progress: [ 57 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* PI l)) (cbrt (* PI l))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (* l PI)) (cbrt (* l PI))) * [exit]simplify: Simplified to (* (cbrt (* l PI)) (cbrt (* l PI))) * [enter]simplify: Simplifying (cbrt (* PI l)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (* l PI)) * [exit]simplify: Simplified to (cbrt (* l PI)) * * * * [misc]progress: [ 58 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* PI l) (* PI l)) (* PI l)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (pow (* l PI) 3) * [exit]simplify: Simplified to (pow (* l PI) 3) * * * * [misc]progress: [ 59 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* PI l)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (* l PI)) * [exit]simplify: Simplified to (sqrt (* l PI)) * [enter]simplify: Simplifying (sqrt (* PI l)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (* l PI)) * [exit]simplify: Simplified to (sqrt (* l PI)) * * * * [misc]progress: [ 60 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (* (/ 1 (* F F)) (- (+ (* 23/60 (* (pow PI 5) (pow l 5))) (* PI l)) (* 2/3 (* (pow PI 3) (pow l 3)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (161 enodes) * [exit]simplify: Simplified to (fma (/ (- 1) (* F F)) (- (fma (* (pow PI 5) 23/60) (pow l 5) (* l PI)) (* (* 2/3 (* l l)) (* (* PI PI) (* l PI)))) (* l PI)) * * * * [misc]progress: [ 63 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (* (/ 1 (* F F)) (/ (sin (* PI l)) (cos (* PI l))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (150 enodes) * * [misc]simplify: iters left: 2 (341 enodes) * [exit]simplify: Simplified to (fma (/ (sin (* l PI)) (cos (* l PI))) (/ (- 1) (* F F)) (* l PI)) * * * * [misc]progress: [ 64 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (* (/ 1 (* F F)) (/ (sin (* PI l)) (cos (* PI l))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (150 enodes) * * [misc]simplify: iters left: 2 (341 enodes) * [exit]simplify: Simplified to (fma (/ (sin (* l PI)) (cos (* l PI))) (/ (- 1) (* F F)) (* l PI)) * * * * [misc]progress: [ 65 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (- (/ (* PI l) (pow F 2)) (* 2/3 (/ (* (pow PI 3) (pow l 3)) (pow F 2))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (499 enodes) * [exit]simplify: Simplified to (fma (/ (* (* l PI) (* l l)) (* (/ F PI) (/ F PI))) 2/3 (- (* l PI) (/ (/ l F) (/ F PI)))) * * * * [misc]progress: [ 66 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (/ (sin (* PI l)) (* (pow F 2) (cos (* PI l))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (- (* l PI) (/ (/ (sin (* l PI)) (cos (* l PI))) (* F F))) * * * * [misc]progress: [ 67 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (/ (sin (* -1 (* PI l))) (* (cos (* -1 (* PI l))) (pow F 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (+ (* l PI) (/ (/ (sin (* l PI)) F) (* F (cos (* l PI))))) * * * * [misc]progress: [ 68 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (* (pow (/ 1 F) 2) (tan (* PI l)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (199 enodes) * * [misc]simplify: iters left: 1 (290 enodes) * [exit]simplify: Simplified to (fma (/ (- 1) (* F F)) (tan (* l PI)) (* l PI)) * * * * [misc]progress: [ 69 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (* (pow (/ 1 F) 2) (tan (* PI l)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (199 enodes) * * [misc]simplify: iters left: 1 (290 enodes) * [exit]simplify: Simplified to (fma (/ (- 1) (* F F)) (tan (* l PI)) (* l PI)) * * * * [misc]progress: [ 70 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (* (pow (/ -1 F) 2) (tan (* PI l)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (223 enodes) * [exit]simplify: Simplified to (fma (/ (/ -1 F) F) (tan (* l PI)) (* l PI)) * * * * [misc]progress: [ 71 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (* (/ 1 (* F F)) (tan (* PI l)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * * [misc]simplify: iters left: 1 (230 enodes) * [exit]simplify: Simplified to (fma (tan (* l PI)) (/ (- 1) (* F F)) (* l PI)) * * * * [misc]progress: [ 72 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (* (/ 1 (* F F)) (tan (* PI l)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * * [misc]simplify: iters left: 1 (230 enodes) * [exit]simplify: Simplified to (fma (tan (* l PI)) (/ (- 1) (* F F)) (* l PI)) * * * * [misc]progress: [ 73 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (* (/ 1 (* F F)) (tan (* PI l)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * * [misc]simplify: iters left: 1 (230 enodes) * [exit]simplify: Simplified to (fma (tan (* l PI)) (/ (- 1) (* F F)) (* l PI)) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1 2 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 1 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1 2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2 1) * [misc]approximate: Taking taylor expansion of (tan (* PI l)) in (l) around 0 * [misc]taylor: Taking taylor expansion of (tan (* PI l)) in l * [misc]taylor: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) * [misc]taylor: Taking taylor expansion of (sin (* PI l)) in l * [misc]taylor: Taking taylor expansion of (* PI l) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (cos (* PI l)) in l * [misc]taylor: Taking taylor expansion of (* PI l) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (tan (* PI l)) in l * [misc]taylor: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) * [misc]taylor: Taking taylor expansion of (sin (* PI l)) in l * [misc]taylor: Taking taylor expansion of (* PI l) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (cos (* PI l)) in l * [misc]taylor: Taking taylor expansion of (* PI l) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 (/ (pow PI 3) 6)) into (* -1/6 (pow PI 3)) * [misc]backup-simplify: Simplify (* -1 (/ (pow PI 2) 2)) into (* -1/2 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* -1/6 (pow PI 3)) (* PI (* -1/2 (pow PI 2)))) into (- (* 2/3 (pow PI 3))) * [misc]backup-simplify: Simplify (- (* 2/3 (pow PI 3))) into (- (* 2/3 (pow PI 3))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow PI 5) 120) into (* 1/120 (pow PI 5)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow PI 4) 24) into (* 1/24 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* 1/120 (pow PI 5)) (+ (* PI (* 1/24 (pow PI 4))) (* (- (* 2/3 (pow PI 3))) (* -1/2 (pow PI 2))))) into (* 23/60 (pow PI 5)) * [misc]backup-simplify: Simplify (* 23/60 (pow PI 5)) into (* 23/60 (pow PI 5)) * [misc]backup-simplify: Simplify (+ (* (* 23/60 (pow PI 5)) (pow l 5)) (+ (* (- (* 2/3 (pow PI 3))) (pow l 3)) (* PI l))) into (- (+ (* 23/60 (* (pow PI 5) (pow l 5))) (* PI l)) (* 2/3 (* (pow PI 3) (pow l 3)))) * [misc]approximate: Taking taylor expansion of (tan (* PI (/ 1 l))) in (l) around 0 * [misc]taylor: Taking taylor expansion of (tan (* PI (/ 1 l))) in l * [misc]taylor: Rewrote expression to (/ (sin (* PI (/ 1 l))) (cos (* PI (/ 1 l)))) * [misc]taylor: Taking taylor expansion of (sin (* PI (/ 1 l))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 l)) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (sin (* PI (/ 1 l))) into (sin (/ PI l)) * [misc]taylor: Taking taylor expansion of (cos (* PI (/ 1 l))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 l)) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (cos (* PI (/ 1 l))) into (cos (/ PI l)) * [misc]backup-simplify: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]taylor: Taking taylor expansion of (tan (* PI (/ 1 l))) in l * [misc]taylor: Rewrote expression to (/ (sin (* PI (/ 1 l))) (cos (* PI (/ 1 l)))) * [misc]taylor: Taking taylor expansion of (sin (* PI (/ 1 l))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 l)) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (sin (* PI (/ 1 l))) into (sin (/ PI l)) * [misc]taylor: Taking taylor expansion of (cos (* PI (/ 1 l))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 l)) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (cos (* PI (/ 1 l))) into (cos (/ PI l)) * [misc]backup-simplify: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]backup-simplify: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (sin (/ PI (/ 1 l))) (cos (/ PI (/ 1 l)))) into (/ (sin (* PI l)) (cos (* PI l))) * [misc]approximate: Taking taylor expansion of (tan (* PI (/ 1 (- l)))) in (l) around 0 * [misc]taylor: Taking taylor expansion of (tan (* PI (/ 1 (- l)))) in l * [misc]taylor: Rewrote expression to (/ (sin (* PI (/ 1 (- l)))) (cos (* PI (/ 1 (- l))))) * [misc]taylor: Taking taylor expansion of (sin (* PI (/ 1 (- l)))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- l))) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (sin (* PI (/ 1 (- l)))) into (sin (* -1 (/ PI l))) * [misc]taylor: Taking taylor expansion of (cos (* PI (/ 1 (- l)))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- l))) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (cos (* PI (/ 1 (- l)))) into (cos (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) * [misc]taylor: Taking taylor expansion of (tan (* PI (/ 1 (- l)))) in l * [misc]taylor: Rewrote expression to (/ (sin (* PI (/ 1 (- l)))) (cos (* PI (/ 1 (- l))))) * [misc]taylor: Taking taylor expansion of (sin (* PI (/ 1 (- l)))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- l))) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (sin (* PI (/ 1 (- l)))) into (sin (* -1 (/ PI l))) * [misc]taylor: Taking taylor expansion of (cos (* PI (/ 1 (- l)))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- l))) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (cos (* PI (/ 1 (- l)))) into (cos (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) * [misc]backup-simplify: Simplify (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) * [misc]backup-simplify: Simplify (+ (/ 0 (cos (* -1 (/ PI l)))) (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (* -1 (/ PI l)))) (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (* -1 (/ PI l)))) (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (* -1 (/ PI l)))) (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (* -1 (/ PI l)))) (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (* -1 (/ PI l)))) (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (sin (* -1 (/ PI (/ 1 (- l))))) (cos (* -1 (/ PI (/ 1 (- l)))))) into (/ (sin (* PI l)) (cos (* PI l))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1 2 1 1) * [misc]approximate: Taking taylor expansion of (tan (* l PI)) in (l) around 0 * [misc]taylor: Taking taylor expansion of (tan (* l PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* l PI)) (cos (* l PI))) * [misc]taylor: Taking taylor expansion of (sin (* l PI)) in l * [misc]taylor: Taking taylor expansion of (* l PI) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (cos (* l PI)) in l * [misc]taylor: Taking taylor expansion of (* l PI) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (tan (* l PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* l PI)) (cos (* l PI))) * [misc]taylor: Taking taylor expansion of (sin (* l PI)) in l * [misc]taylor: Taking taylor expansion of (* l PI) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (cos (* l PI)) in l * [misc]taylor: Taking taylor expansion of (* l PI) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 (/ (pow PI 3) 6)) into (* -1/6 (pow PI 3)) * [misc]backup-simplify: Simplify (* -1 (/ (pow PI 2) 2)) into (* -1/2 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* -1/6 (pow PI 3)) (* PI (* -1/2 (pow PI 2)))) into (- (* 2/3 (pow PI 3))) * [misc]backup-simplify: Simplify (- (* 2/3 (pow PI 3))) into (- (* 2/3 (pow PI 3))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow PI 5) 120) into (* 1/120 (pow PI 5)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow PI 4) 24) into (* 1/24 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* 1/120 (pow PI 5)) (+ (* PI (* 1/24 (pow PI 4))) (* (- (* 2/3 (pow PI 3))) (* -1/2 (pow PI 2))))) into (* 23/60 (pow PI 5)) * [misc]backup-simplify: Simplify (* 23/60 (pow PI 5)) into (* 23/60 (pow PI 5)) * [misc]backup-simplify: Simplify (+ (* (* 23/60 (pow PI 5)) (pow l 5)) (+ (* (- (* 2/3 (pow PI 3))) (pow l 3)) (* PI l))) into (- (+ (* 23/60 (* (pow PI 5) (pow l 5))) (* PI l)) (* 2/3 (* (pow PI 3) (pow l 3)))) * [misc]approximate: Taking taylor expansion of (tan (* (/ 1 l) PI)) in (l) around 0 * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 l) PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 l) PI)) (cos (* (/ 1 l) PI))) * [misc]taylor: Taking taylor expansion of (sin (* (/ 1 l) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 l) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (sin (* (/ 1 l) PI)) into (sin (/ PI l)) * [misc]taylor: Taking taylor expansion of (cos (* (/ 1 l) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 l) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (cos (* (/ 1 l) PI)) into (cos (/ PI l)) * [misc]backup-simplify: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 l) PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 l) PI)) (cos (* (/ 1 l) PI))) * [misc]taylor: Taking taylor expansion of (sin (* (/ 1 l) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 l) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (sin (* (/ 1 l) PI)) into (sin (/ PI l)) * [misc]taylor: Taking taylor expansion of (cos (* (/ 1 l) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 l) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (cos (* (/ 1 l) PI)) into (cos (/ PI l)) * [misc]backup-simplify: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]backup-simplify: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (sin (/ PI (/ 1 l))) (cos (/ PI (/ 1 l)))) into (/ (sin (* PI l)) (cos (* PI l))) * [misc]approximate: Taking taylor expansion of (tan (* (/ 1 (- l)) PI)) in (l) around 0 * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 (- l)) PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 (- l)) PI)) (cos (* (/ 1 (- l)) PI))) * [misc]taylor: Taking taylor expansion of (sin (* (/ 1 (- l)) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 (- l)) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (sin (* (/ 1 (- l)) PI)) into (sin (* -1 (/ PI l))) * [misc]taylor: Taking taylor expansion of (cos (* (/ 1 (- l)) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 (- l)) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (cos (* (/ 1 (- l)) PI)) into (cos (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 (- l)) PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 (- l)) PI)) (cos (* (/ 1 (- l)) PI))) * [misc]taylor: Taking taylor expansion of (sin (* (/ 1 (- l)) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 (- l)) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (sin (* (/ 1 (- l)) PI)) into (sin (* -1 (/ PI l))) * [misc]taylor: Taking taylor expansion of (cos (* (/ 1 (- l)) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 (- l)) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (cos (* (/ 1 (- l)) PI)) into (cos (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) * [misc]backup-simplify: Simplify (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) * [misc]backup-simplify: Simplify (+ (/ 0 (cos (* -1 (/ PI l)))) (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (* -1 (/ PI l)))) (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (* -1 (/ PI l)))) (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (* -1 (/ PI l)))) (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (* -1 (/ PI l)))) (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (* -1 (/ PI l)))) (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (sin (* -1 (/ PI (/ 1 (- l))))) (cos (* -1 (/ PI (/ 1 (- l)))))) into (/ (sin (* PI l)) (cos (* PI l))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1 1 1 1) * [misc]approximate: Taking taylor expansion of (tan (* l PI)) in (l) around 0 * [misc]taylor: Taking taylor expansion of (tan (* l PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* l PI)) (cos (* l PI))) * [misc]taylor: Taking taylor expansion of (sin (* l PI)) in l * [misc]taylor: Taking taylor expansion of (* l PI) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (cos (* l PI)) in l * [misc]taylor: Taking taylor expansion of (* l PI) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (tan (* l PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* l PI)) (cos (* l PI))) * [misc]taylor: Taking taylor expansion of (sin (* l PI)) in l * [misc]taylor: Taking taylor expansion of (* l PI) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (cos (* l PI)) in l * [misc]taylor: Taking taylor expansion of (* l PI) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 (/ (pow PI 3) 6)) into (* -1/6 (pow PI 3)) * [misc]backup-simplify: Simplify (* -1 (/ (pow PI 2) 2)) into (* -1/2 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* -1/6 (pow PI 3)) (* PI (* -1/2 (pow PI 2)))) into (- (* 2/3 (pow PI 3))) * [misc]backup-simplify: Simplify (- (* 2/3 (pow PI 3))) into (- (* 2/3 (pow PI 3))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow PI 5) 120) into (* 1/120 (pow PI 5)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow PI 4) 24) into (* 1/24 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* 1/120 (pow PI 5)) (+ (* PI (* 1/24 (pow PI 4))) (* (- (* 2/3 (pow PI 3))) (* -1/2 (pow PI 2))))) into (* 23/60 (pow PI 5)) * [misc]backup-simplify: Simplify (* 23/60 (pow PI 5)) into (* 23/60 (pow PI 5)) * [misc]backup-simplify: Simplify (+ (* (* 23/60 (pow PI 5)) (pow l 5)) (+ (* (- (* 2/3 (pow PI 3))) (pow l 3)) (* PI l))) into (- (+ (* 23/60 (* (pow PI 5) (pow l 5))) (* PI l)) (* 2/3 (* (pow PI 3) (pow l 3)))) * [misc]approximate: Taking taylor expansion of (tan (* (/ 1 l) PI)) in (l) around 0 * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 l) PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 l) PI)) (cos (* (/ 1 l) PI))) * [misc]taylor: Taking taylor expansion of (sin (* (/ 1 l) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 l) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (sin (* (/ 1 l) PI)) into (sin (/ PI l)) * [misc]taylor: Taking taylor expansion of (cos (* (/ 1 l) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 l) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (cos (* (/ 1 l) PI)) into (cos (/ PI l)) * [misc]backup-simplify: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 l) PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 l) PI)) (cos (* (/ 1 l) PI))) * [misc]taylor: Taking taylor expansion of (sin (* (/ 1 l) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 l) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (sin (* (/ 1 l) PI)) into (sin (/ PI l)) * [misc]taylor: Taking taylor expansion of (cos (* (/ 1 l) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 l) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (cos (* (/ 1 l) PI)) into (cos (/ PI l)) * [misc]backup-simplify: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]backup-simplify: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (sin (/ PI (/ 1 l))) (cos (/ PI (/ 1 l)))) into (/ (sin (* PI l)) (cos (* PI l))) * [misc]approximate: Taking taylor expansion of (tan (* (/ 1 (- l)) PI)) in (l) around 0 * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 (- l)) PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 (- l)) PI)) (cos (* (/ 1 (- l)) PI))) * [misc]taylor: Taking taylor expansion of (sin (* (/ 1 (- l)) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 (- l)) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (sin (* (/ 1 (- l)) PI)) into (sin (* -1 (/ PI l))) * [misc]taylor: Taking taylor expansion of (cos (* (/ 1 (- l)) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 (- l)) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (cos (* (/ 1 (- l)) PI)) into (cos (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 (- l)) PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 (- l)) PI)) (cos (* (/ 1 (- l)) PI))) * [misc]taylor: Taking taylor expansion of (sin (* (/ 1 (- l)) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 (- l)) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (sin (* (/ 1 (- l)) PI)) into (sin (* -1 (/ PI l))) * [misc]taylor: Taking taylor expansion of (cos (* (/ 1 (- l)) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 (- l)) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (cos (* (/ 1 (- l)) PI)) into (cos (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) * [misc]backup-simplify: Simplify (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) * [misc]backup-simplify: Simplify (+ (/ 0 (cos (* -1 (/ PI l)))) (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (* -1 (/ PI l)))) (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (* -1 (/ PI l)))) (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (* -1 (/ PI l)))) (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (* -1 (/ PI l)))) (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (* -1 (/ PI l)))) (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (sin (* -1 (/ PI (/ 1 (- l))))) (cos (* -1 (/ PI (/ 1 (- l)))))) into (/ (sin (* PI l)) (cos (* PI l))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1 2 1) * [misc]approximate: Taking taylor expansion of (cbrt (tan (* l PI))) in (l) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (tan (* l PI))) in l * [misc]taylor: Rewrote expression to (pow (tan (* l PI)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (tan (* l PI))))) in l * [misc]taylor: Taking taylor expansion of (* 1/3 (log (tan (* l PI)))) in l * [misc]taylor: Taking taylor expansion of 1/3 in l * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (tan (* l PI))) in l * [misc]taylor: Taking taylor expansion of (tan (* l PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* l PI)) (cos (* l PI))) * [misc]taylor: Taking taylor expansion of (sin (* l PI)) in l * [misc]taylor: Taking taylor expansion of (* l PI) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (cos (* l PI)) in l * [misc]taylor: Taking taylor expansion of (* l PI) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (+ (log l) (log PI)) into (+ (log PI) (log l)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log PI) (log l))) into (* 1/3 (+ (log PI) (log l))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log PI) (log l)))) into (exp (* 1/3 (+ (log PI) (log l)))) * [misc]taylor: Taking taylor expansion of (cbrt (tan (* l PI))) in l * [misc]taylor: Rewrote expression to (pow (tan (* l PI)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (tan (* l PI))))) in l * [misc]taylor: Taking taylor expansion of (* 1/3 (log (tan (* l PI)))) in l * [misc]taylor: Taking taylor expansion of 1/3 in l * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (tan (* l PI))) in l * [misc]taylor: Taking taylor expansion of (tan (* l PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* l PI)) (cos (* l PI))) * [misc]taylor: Taking taylor expansion of (sin (* l PI)) in l * [misc]taylor: Taking taylor expansion of (* l PI) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (cos (* l PI)) in l * [misc]taylor: Taking taylor expansion of (* l PI) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (+ (log l) (log PI)) into (+ (log PI) (log l)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log PI) (log l))) into (* 1/3 (+ (log PI) (log l))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log PI) (log l)))) into (exp (* 1/3 (+ (log PI) (log l)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log PI) (log l)))) into (exp (* 1/3 (+ (log PI) (log l)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (log l) (log PI)) into (+ (log PI) (log l)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 (/ (pow PI 3) 6)) into (* -1/6 (pow PI 3)) * [misc]backup-simplify: Simplify (* -1 (/ (pow PI 2) 2)) into (* -1/2 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* -1/6 (pow PI 3)) (* PI (* -1/2 (pow PI 2)))) into (- (* 2/3 (pow PI 3))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ 0 (pow PI 2))) (/ (* 2 (- (* 2/3 (pow PI 3)))) PI)) 2) into (* -2/3 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (log l) (log PI)) into (+ (log PI) (log l)) * [misc]backup-simplify: Simplify (* 1/3 (* -2/3 (pow PI 2))) into (* -2/9 (pow PI 2)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log PI) (log l)))) (* -2/9 (pow PI 2))) into (* -2/9 (* (exp (* 1/3 (+ (log PI) (log l)))) (pow PI 2))) * [misc]backup-simplify: Simplify (* -2/9 (* (exp (* 1/3 (+ (log PI) (log l)))) (pow PI 2))) into (* -2/9 (* (exp (* 1/3 (+ (log PI) (log l)))) (pow PI 2))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ 0 (pow PI 3))) (+ (* -3 (/ 0 (pow PI 2))) (/ 0 PI))) 6) into 0 * [misc]backup-simplify: Simplify (+ (log l) (log PI)) into (+ (log PI) (log l)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow PI 5) 120) into (* 1/120 (pow PI 5)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow PI 4) 24) into (* 1/24 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* 1/120 (pow PI 5)) (+ (* PI (* 1/24 (pow PI 4))) (* (- (* 2/3 (pow PI 3))) (* -1/2 (pow PI 2))))) into (* 23/60 (pow PI 5)) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ 0 (pow PI 4))) (+ (* 12 (/ 0 (pow PI 3))) (+ (* -3 (/ (pow (* 2 (- (* 2/3 (pow PI 3)))) 2) (pow PI 2))) (+ (* -4 (/ 0 (pow PI 2))) (/ (* 24 (* 23/60 (pow PI 5))) PI))))) 24) into (* 29/180 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (log l) (log PI)) into (+ (log PI) (log l)) * [misc]backup-simplify: Simplify (* 1/3 (* 29/180 (pow PI 4))) into (* 29/540 (pow PI 4)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log PI) (log l)))) (+ (/ (pow (* -2/9 (pow PI 2)) 2) 2) (* 29/540 (pow PI 4)))) into (* 127/1620 (* (exp (* 1/3 (+ (log PI) (log l)))) (pow PI 4))) * [misc]backup-simplify: Simplify (* 127/1620 (* (exp (* 1/3 (+ (log PI) (log l)))) (pow PI 4))) into (* 127/1620 (* (exp (* 1/3 (+ (log PI) (log l)))) (pow PI 4))) * [misc]backup-simplify: Simplify (+ (* (* 127/1620 (* (exp (* 1/3 (+ (log PI) (log l)))) (pow PI 4))) (pow l 4)) (+ (* (* -2/9 (* (exp (* 1/3 (+ (log PI) (log l)))) (pow PI 2))) (pow l 2)) (exp (* 1/3 (+ (log PI) (log l)))))) into (- (+ (exp (* 1/3 (+ (log PI) (log l)))) (* 127/1620 (* (exp (* 1/3 (+ (log PI) (log l)))) (* (pow PI 4) (pow l 4))))) (* 2/9 (* (exp (* 1/3 (+ (log PI) (log l)))) (* (pow PI 2) (pow l 2))))) * [misc]approximate: Taking taylor expansion of (cbrt (tan (* (/ 1 l) PI))) in (l) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (tan (* (/ 1 l) PI))) in l * [misc]taylor: Rewrote expression to (pow (tan (* (/ 1 l) PI)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (tan (* (/ 1 l) PI))))) in l * [misc]taylor: Taking taylor expansion of (* 1/3 (log (tan (* (/ 1 l) PI)))) in l * [misc]taylor: Taking taylor expansion of 1/3 in l * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (tan (* (/ 1 l) PI))) in l * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 l) PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 l) PI)) (cos (* (/ 1 l) PI))) * [misc]taylor: Taking taylor expansion of (sin (* (/ 1 l) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 l) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (sin (* (/ 1 l) PI)) into (sin (/ PI l)) * [misc]taylor: Taking taylor expansion of (cos (* (/ 1 l) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 l) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (cos (* (/ 1 l) PI)) into (cos (/ PI l)) * [misc]backup-simplify: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]backup-simplify: Simplify (log (/ (sin (/ PI l)) (cos (/ PI l)))) into (log (/ (sin (/ PI l)) (cos (/ PI l)))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ (sin (/ PI l)) (cos (/ PI l))))) into (* 1/3 (log (/ (sin (/ PI l)) (cos (/ PI l))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ (sin (/ PI l)) (cos (/ PI l)))))) into (pow (/ (sin (/ PI l)) (cos (/ PI l))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (tan (* (/ 1 l) PI))) in l * [misc]taylor: Rewrote expression to (pow (tan (* (/ 1 l) PI)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (tan (* (/ 1 l) PI))))) in l * [misc]taylor: Taking taylor expansion of (* 1/3 (log (tan (* (/ 1 l) PI)))) in l * [misc]taylor: Taking taylor expansion of 1/3 in l * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (tan (* (/ 1 l) PI))) in l * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 l) PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 l) PI)) (cos (* (/ 1 l) PI))) * [misc]taylor: Taking taylor expansion of (sin (* (/ 1 l) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 l) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (sin (* (/ 1 l) PI)) into (sin (/ PI l)) * [misc]taylor: Taking taylor expansion of (cos (* (/ 1 l) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 l) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (cos (* (/ 1 l) PI)) into (cos (/ PI l)) * [misc]backup-simplify: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]backup-simplify: Simplify (log (/ (sin (/ PI l)) (cos (/ PI l)))) into (log (/ (sin (/ PI l)) (cos (/ PI l)))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ (sin (/ PI l)) (cos (/ PI l))))) into (* 1/3 (log (/ (sin (/ PI l)) (cos (/ PI l))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ (sin (/ PI l)) (cos (/ PI l)))))) into (pow (/ (sin (/ PI l)) (cos (/ PI l))) 1/3) * [misc]backup-simplify: Simplify (pow (/ (sin (/ PI l)) (cos (/ PI l))) 1/3) into (pow (/ (sin (/ PI l)) (cos (/ PI l))) 1/3) * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (/ (sin (/ PI l)) (cos (/ PI l)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ 0 (pow (/ (sin (/ PI l)) (cos (/ PI l))) 2))) (/ 0 (/ (sin (/ PI l)) (cos (/ PI l))))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ 0 (pow (/ (sin (/ PI l)) (cos (/ PI l))) 3))) (+ (* -3 (/ 0 (pow (/ (sin (/ PI l)) (cos (/ PI l))) 2))) (/ 0 (/ (sin (/ PI l)) (cos (/ PI l)))))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ 0 (pow (/ (sin (/ PI l)) (cos (/ PI l))) 4))) (+ (* 12 (/ 0 (pow (/ (sin (/ PI l)) (cos (/ PI l))) 3))) (+ (* -3 (/ 0 (pow (/ (sin (/ PI l)) (cos (/ PI l))) 2))) (+ (* -4 (/ 0 (pow (/ (sin (/ PI l)) (cos (/ PI l))) 2))) (/ 0 (/ (sin (/ PI l)) (cos (/ PI l)))))))) 24) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ 0 (pow (/ (sin (/ PI l)) (cos (/ PI l))) 5))) (+ (* -60 (/ 0 (pow (/ (sin (/ PI l)) (cos (/ PI l))) 4))) (+ (* 30 (/ 0 (pow (/ (sin (/ PI l)) (cos (/ PI l))) 3))) (+ (* 20 (/ 0 (pow (/ (sin (/ PI l)) (cos (/ PI l))) 3))) (+ (* -10 (/ 0 (pow (/ (sin (/ PI l)) (cos (/ PI l))) 2))) (+ (* -5 (/ 0 (pow (/ (sin (/ PI l)) (cos (/ PI l))) 2))) (/ 0 (/ (sin (/ PI l)) (cos (/ PI l)))))))))) 120) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ 0 (pow (/ (sin (/ PI l)) (cos (/ PI l))) 6))) (+ (* 360 (/ 0 (pow (/ (sin (/ PI l)) (cos (/ PI l))) 5))) (+ (* -270 (/ 0 (pow (/ (sin (/ PI l)) (cos (/ PI l))) 4))) (+ (* -120 (/ 0 (pow (/ (sin (/ PI l)) (cos (/ PI l))) 4))) (+ (* 30 (/ 0 (pow (/ (sin (/ PI l)) (cos (/ PI l))) 3))) (+ (* 120 (/ 0 (pow (/ (sin (/ PI l)) (cos (/ PI l))) 3))) (+ (* 30 (/ 0 (pow (/ (sin (/ PI l)) (cos (/ PI l))) 3))) (+ (* -10 (/ 0 (pow (/ (sin (/ PI l)) (cos (/ PI l))) 2))) (+ (* -15 (/ 0 (pow (/ (sin (/ PI l)) (cos (/ PI l))) 2))) (+ (* -6 (/ 0 (pow (/ (sin (/ PI l)) (cos (/ PI l))) 2))) (/ 0 (/ (sin (/ PI l)) (cos (/ PI l)))))))))))))) 720) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (/ (sin (/ PI (/ 1 l))) (cos (/ PI (/ 1 l)))) 1/3) into (pow (/ (sin (* PI l)) (cos (* PI l))) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (tan (* (/ 1 (- l)) PI))) in (l) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (tan (* (/ 1 (- l)) PI))) in l * [misc]taylor: Rewrote expression to (pow (tan (* (/ 1 (- l)) PI)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (tan (* (/ 1 (- l)) PI))))) in l * [misc]taylor: Taking taylor expansion of (* 1/3 (log (tan (* (/ 1 (- l)) PI)))) in l * [misc]taylor: Taking taylor expansion of 1/3 in l * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (tan (* (/ 1 (- l)) PI))) in l * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 (- l)) PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 (- l)) PI)) (cos (* (/ 1 (- l)) PI))) * [misc]taylor: Taking taylor expansion of (sin (* (/ 1 (- l)) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 (- l)) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (sin (* (/ 1 (- l)) PI)) into (sin (* -1 (/ PI l))) * [misc]taylor: Taking taylor expansion of (cos (* (/ 1 (- l)) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 (- l)) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (cos (* (/ 1 (- l)) PI)) into (cos (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) * [misc]backup-simplify: Simplify (log (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l))))) into (log (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l))))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))))) into (* 1/3 (log (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l))))))) into (pow (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (tan (* (/ 1 (- l)) PI))) in l * [misc]taylor: Rewrote expression to (pow (tan (* (/ 1 (- l)) PI)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (tan (* (/ 1 (- l)) PI))))) in l * [misc]taylor: Taking taylor expansion of (* 1/3 (log (tan (* (/ 1 (- l)) PI)))) in l * [misc]taylor: Taking taylor expansion of 1/3 in l * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (tan (* (/ 1 (- l)) PI))) in l * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 (- l)) PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 (- l)) PI)) (cos (* (/ 1 (- l)) PI))) * [misc]taylor: Taking taylor expansion of (sin (* (/ 1 (- l)) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 (- l)) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (sin (* (/ 1 (- l)) PI)) into (sin (* -1 (/ PI l))) * [misc]taylor: Taking taylor expansion of (cos (* (/ 1 (- l)) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 (- l)) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (cos (* (/ 1 (- l)) PI)) into (cos (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) * [misc]backup-simplify: Simplify (log (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l))))) into (log (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l))))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))))) into (* 1/3 (log (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l))))))) into (pow (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 1/3) * [misc]backup-simplify: Simplify (pow (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 1/3) into (pow (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 1/3) * [misc]backup-simplify: Simplify (+ (/ 0 (cos (* -1 (/ PI l)))) (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (* -1 (/ PI l)))) (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ 0 (pow (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 2))) (/ 0 (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (* -1 (/ PI l)))) (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ 0 (pow (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 3))) (+ (* -3 (/ 0 (pow (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 2))) (/ 0 (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l))))))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (* -1 (/ PI l)))) (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ 0 (pow (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 4))) (+ (* 12 (/ 0 (pow (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 3))) (+ (* -3 (/ 0 (pow (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 2))) (+ (* -4 (/ 0 (pow (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 2))) (/ 0 (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l))))))))) 24) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (* -1 (/ PI l)))) (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ 0 (pow (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 5))) (+ (* -60 (/ 0 (pow (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 4))) (+ (* 30 (/ 0 (pow (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 3))) (+ (* 20 (/ 0 (pow (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 3))) (+ (* -10 (/ 0 (pow (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 2))) (+ (* -5 (/ 0 (pow (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 2))) (/ 0 (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l))))))))))) 120) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (* -1 (/ PI l)))) (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ 0 (pow (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 6))) (+ (* 360 (/ 0 (pow (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 5))) (+ (* -270 (/ 0 (pow (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 4))) (+ (* -120 (/ 0 (pow (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 4))) (+ (* 30 (/ 0 (pow (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 3))) (+ (* 120 (/ 0 (pow (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 3))) (+ (* 30 (/ 0 (pow (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 3))) (+ (* -10 (/ 0 (pow (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 2))) (+ (* -15 (/ 0 (pow (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 2))) (+ (* -6 (/ 0 (pow (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 2))) (/ 0 (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l))))))))))))))) 720) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (/ (sin (* -1 (/ PI (/ 1 (- l))))) (cos (* -1 (/ PI (/ 1 (- l)))))) 1/3) into (pow (/ (sin (* PI l)) (cos (* PI l))) 1/3) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (tan (* PI l))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (expm1 (tan (* l PI))) * [exit]simplify: Simplified to (expm1 (tan (* l PI))) * * * * [misc]progress: [ 2 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (tan (* PI l))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (log1p (tan (* l PI))) * [exit]simplify: Simplified to (log1p (tan (* l PI))) * * * * [misc]progress: [ 3 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (sin (* PI l)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sin (* l PI)) * [exit]simplify: Simplified to (sin (* l PI)) * [enter]simplify: Simplifying (cos (* PI l)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cos (* l PI)) * [exit]simplify: Simplified to (cos (* l PI)) * * * * [misc]progress: [ 4 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (log (tan (* PI l))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (log (tan (* l PI))) * [exit]simplify: Simplified to (log (tan (* l PI))) * * * * [misc]progress: [ 6 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (tan (* PI l))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (exp (tan (* l PI))) * [exit]simplify: Simplified to (exp (tan (* l PI))) * * * * [misc]progress: [ 7 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (tan (* l PI))) (cbrt (tan (* l PI)))) * [exit]simplify: Simplified to (* (cbrt (tan (* l PI))) (cbrt (tan (* l PI)))) * [enter]simplify: Simplifying (cbrt (tan (* PI l))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (tan (* l PI))) * [exit]simplify: Simplified to (cbrt (tan (* l PI))) * * * * [misc]progress: [ 8 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (pow (tan (* l PI)) 3) * [exit]simplify: Simplified to (pow (tan (* l PI)) 3) * * * * [misc]progress: [ 9 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (tan (* PI l))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (tan (* l PI))) * [exit]simplify: Simplified to (sqrt (tan (* l PI))) * [enter]simplify: Simplifying (sqrt (tan (* PI l))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (tan (* l PI))) * [exit]simplify: Simplified to (sqrt (tan (* l PI))) * * * * [misc]progress: [ 10 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (tan (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (expm1 (tan (* PI l))) * [exit]simplify: Simplified to (expm1 (tan (* PI l))) * * * * [misc]progress: [ 12 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (tan (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (log1p (tan (* PI l))) * [exit]simplify: Simplified to (log1p (tan (* PI l))) * * * * [misc]progress: [ 13 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (sin (* l PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sin (* PI l)) * [exit]simplify: Simplified to (sin (* PI l)) * [enter]simplify: Simplifying (cos (* l PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cos (* PI l)) * [exit]simplify: Simplified to (cos (* PI l)) * * * * [misc]progress: [ 14 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (log (tan (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (log (tan (* PI l))) * [exit]simplify: Simplified to (log (tan (* PI l))) * * * * [misc]progress: [ 16 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (tan (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (exp (tan (* PI l))) * [exit]simplify: Simplified to (exp (tan (* PI l))) * * * * [misc]progress: [ 17 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (tan (* l PI))) (cbrt (tan (* l PI)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l)))) * [exit]simplify: Simplified to (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l)))) * [enter]simplify: Simplifying (cbrt (tan (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (tan (* PI l))) * [exit]simplify: Simplified to (cbrt (tan (* PI l))) * * * * [misc]progress: [ 18 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (tan (* l PI)) (tan (* l PI))) (tan (* l PI))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (pow (tan (* PI l)) 3) * [exit]simplify: Simplified to (pow (tan (* PI l)) 3) * * * * [misc]progress: [ 19 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (tan (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (tan (* PI l))) * [exit]simplify: Simplified to (sqrt (tan (* PI l))) * [enter]simplify: Simplifying (sqrt (tan (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (tan (* PI l))) * [exit]simplify: Simplified to (sqrt (tan (* PI l))) * * * * [misc]progress: [ 20 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (tan (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (expm1 (tan (* PI l))) * [exit]simplify: Simplified to (expm1 (tan (* PI l))) * * * * [misc]progress: [ 22 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (tan (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (log1p (tan (* PI l))) * [exit]simplify: Simplified to (log1p (tan (* PI l))) * * * * [misc]progress: [ 23 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (sin (* l PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sin (* PI l)) * [exit]simplify: Simplified to (sin (* PI l)) * [enter]simplify: Simplifying (cos (* l PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cos (* PI l)) * [exit]simplify: Simplified to (cos (* PI l)) * * * * [misc]progress: [ 24 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (log (tan (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (log (tan (* PI l))) * [exit]simplify: Simplified to (log (tan (* PI l))) * * * * [misc]progress: [ 26 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (tan (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (exp (tan (* PI l))) * [exit]simplify: Simplified to (exp (tan (* PI l))) * * * * [misc]progress: [ 27 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (tan (* l PI))) (cbrt (tan (* l PI)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l)))) * [exit]simplify: Simplified to (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l)))) * [enter]simplify: Simplifying (cbrt (tan (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (tan (* PI l))) * [exit]simplify: Simplified to (cbrt (tan (* PI l))) * * * * [misc]progress: [ 28 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (tan (* l PI)) (tan (* l PI))) (tan (* l PI))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (pow (tan (* PI l)) 3) * [exit]simplify: Simplified to (pow (tan (* PI l)) 3) * * * * [misc]progress: [ 29 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (tan (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (tan (* PI l))) * [exit]simplify: Simplified to (sqrt (tan (* PI l))) * [enter]simplify: Simplifying (sqrt (tan (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (tan (* PI l))) * [exit]simplify: Simplified to (sqrt (tan (* PI l))) * * * * [misc]progress: [ 30 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (cbrt (tan (* l PI)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (expm1 (cbrt (tan (* PI l)))) * [exit]simplify: Simplified to (expm1 (cbrt (tan (* PI l)))) * * * * [misc]progress: [ 32 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (cbrt (tan (* l PI)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (log1p (cbrt (tan (* PI l)))) * [exit]simplify: Simplified to (log1p (cbrt (tan (* PI l)))) * * * * [misc]progress: [ 33 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (tan (* l PI)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (log (cbrt (tan (* PI l)))) * [exit]simplify: Simplified to (log (cbrt (tan (* PI l)))) * * * * [misc]progress: [ 36 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (tan (* l PI)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (exp (cbrt (tan (* PI l)))) * [exit]simplify: Simplified to (exp (cbrt (tan (* PI l)))) * * * * [misc]progress: [ 37 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (tan (* l PI))) (cbrt (tan (* l PI))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l))))) * [exit]simplify: Simplified to (cbrt (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l))))) * [enter]simplify: Simplifying (cbrt (cbrt (tan (* l PI)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (tan (* PI l)))) * [exit]simplify: Simplified to (cbrt (cbrt (tan (* PI l)))) * * * * [misc]progress: [ 38 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (tan (* l PI)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (tan (* PI l)))) * [exit]simplify: Simplified to (cbrt (sqrt (tan (* PI l)))) * [enter]simplify: Simplifying (cbrt (sqrt (tan (* l PI)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (tan (* PI l)))) * [exit]simplify: Simplified to (cbrt (sqrt (tan (* PI l)))) * * * * [misc]progress: [ 39 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (tan (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (tan (* PI l))) * [exit]simplify: Simplified to (cbrt (tan (* PI l))) * * * * [misc]progress: [ 40 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sin (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (sin (* PI l))) * [exit]simplify: Simplified to (cbrt (sin (* PI l))) * [enter]simplify: Simplifying (cbrt (cos (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (cos (* PI l))) * [exit]simplify: Simplified to (cbrt (cos (* PI l))) * * * * [misc]progress: [ 41 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (tan (* l PI)))) (cbrt (cbrt (tan (* l PI))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (tan (* PI l)))) (cbrt (cbrt (tan (* PI l))))) * [exit]simplify: Simplified to (* (cbrt (cbrt (tan (* PI l)))) (cbrt (cbrt (tan (* PI l))))) * [enter]simplify: Simplifying (cbrt (cbrt (tan (* l PI)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (tan (* PI l)))) * [exit]simplify: Simplified to (cbrt (cbrt (tan (* PI l)))) * * * * [misc]progress: [ 42 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (tan (* l PI))) (cbrt (tan (* l PI)))) (cbrt (tan (* l PI)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (tan (* PI l)) * [exit]simplify: Simplified to (tan (* PI l)) * * * * [misc]progress: [ 43 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (tan (* l PI)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (tan (* PI l)))) * [exit]simplify: Simplified to (sqrt (cbrt (tan (* PI l)))) * [enter]simplify: Simplifying (sqrt (cbrt (tan (* l PI)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (tan (* PI l)))) * [exit]simplify: Simplified to (sqrt (cbrt (tan (* PI l)))) * * * * [misc]progress: [ 44 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (* (* (/ (cbrt (tan (* l PI))) F) (/ (cbrt (tan (* l PI))) F)) (cbrt (- (+ (* 23/60 (* (pow PI 5) (pow l 5))) (* PI l)) (* 2/3 (* (pow PI 3) (pow l 3))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (149 enodes) * * [misc]simplify: iters left: 3 (426 enodes) * [exit]simplify: Simplified to (fma (cbrt (- (fma (* (pow PI 5) 23/60) (pow l 5) (* l PI)) (* (* (* l PI) (* l l)) (* (* PI PI) 2/3)))) (* (/ (cbrt (tan (* l PI))) (* F F)) (- (cbrt (tan (* l PI))))) (* l PI)) * * * * [misc]progress: [ 46 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (* (* (/ (cbrt (tan (* l PI))) F) (/ (cbrt (tan (* l PI))) F)) (cbrt (/ (sin (* PI l)) (cos (* PI l)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (227 enodes) * * [misc]simplify: iters left: 1 (359 enodes) * [exit]simplify: Simplified to (fma (- (/ (cbrt (tan (* l PI))) F)) (* (cbrt (/ (sin (* l PI)) (cos (* l PI)))) (/ (cbrt (tan (* l PI))) F)) (* l PI)) * * * * [misc]progress: [ 47 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (* (* (/ (cbrt (tan (* l PI))) F) (/ (cbrt (tan (* l PI))) F)) (cbrt (/ (sin (* PI l)) (cos (* PI l)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (227 enodes) * * [misc]simplify: iters left: 1 (359 enodes) * [exit]simplify: Simplified to (fma (- (/ (cbrt (tan (* l PI))) F)) (* (cbrt (/ (sin (* l PI)) (cos (* l PI)))) (/ (cbrt (tan (* l PI))) F)) (* l PI)) * * * * [misc]progress: [ 48 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (* (* (/ (cbrt (tan (* l PI))) F) (/ (cbrt (- (+ (* 23/60 (* (pow PI 5) (pow l 5))) (* PI l)) (* 2/3 (* (pow PI 3) (pow l 3))))) F)) (cbrt (tan (* PI l))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (167 enodes) * [exit]simplify: Simplified to (fma (* (/ (/ (cbrt (tan (* l PI))) F) F) (cbrt (- (fma 23/60 (* (pow l 5) (pow PI 5)) (* l PI)) (* (* 2/3 (* PI PI)) (* (* l PI) (* l l)))))) (- (cbrt (tan (* l PI)))) (* l PI)) * * * * [misc]progress: [ 49 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (* (* (/ (cbrt (tan (* l PI))) F) (/ (cbrt (/ (sin (* PI l)) (cos (* PI l)))) F)) (cbrt (tan (* PI l))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * * [misc]simplify: iters left: 2 (464 enodes) * [exit]simplify: Simplified to (fma (/ (- (cbrt (tan (* l PI)))) F) (* (/ (cbrt (tan (* l PI))) F) (cbrt (/ (sin (* l PI)) (cos (* l PI))))) (* l PI)) * * * * [misc]progress: [ 50 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (* (* (/ (cbrt (tan (* l PI))) F) (/ (cbrt (/ (sin (* PI l)) (cos (* PI l)))) F)) (cbrt (tan (* PI l))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * * [misc]simplify: iters left: 2 (464 enodes) * [exit]simplify: Simplified to (fma (/ (- (cbrt (tan (* l PI)))) F) (* (/ (cbrt (tan (* l PI))) F) (cbrt (/ (sin (* l PI)) (cos (* l PI))))) (* l PI)) * * * * [misc]progress: [ 51 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (* (* (/ (cbrt (- (+ (* 23/60 (* (pow PI 5) (pow l 5))) (* PI l)) (* 2/3 (* (pow PI 3) (pow l 3))))) F) (/ (cbrt (tan (* l PI))) F)) (cbrt (tan (* PI l))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (167 enodes) * [exit]simplify: Simplified to (fma (/ (cbrt (- (fma (* 23/60 (pow PI 5)) (pow l 5) (* l PI)) (* (* 2/3 (* PI PI)) (* (* l PI) (* l l))))) (/ F (/ (cbrt (tan (* l PI))) F))) (- (cbrt (tan (* l PI)))) (* l PI)) * * * * [misc]progress: [ 52 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (* (* (/ (cbrt (/ (sin (* PI l)) (cos (* PI l)))) F) (/ (cbrt (tan (* l PI))) F)) (cbrt (tan (* PI l))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (210 enodes) * * [misc]simplify: iters left: 2 (456 enodes) * [exit]simplify: Simplified to (fma (/ (cbrt (/ (sin (* l PI)) (cos (* l PI)))) (/ (* F F) (cbrt (tan (* l PI))))) (- (cbrt (tan (* l PI)))) (* l PI)) * * * * [misc]progress: [ 53 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (* (* (/ (cbrt (/ (sin (* PI l)) (cos (* PI l)))) F) (/ (cbrt (tan (* l PI))) F)) (cbrt (tan (* PI l))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (210 enodes) * * [misc]simplify: iters left: 2 (456 enodes) * [exit]simplify: Simplified to (fma (/ (cbrt (/ (sin (* l PI)) (cos (* l PI)))) (/ (* F F) (cbrt (tan (* l PI))))) (- (cbrt (tan (* l PI)))) (* l PI)) * * * * [misc]progress: [ 54 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (* (* (/ (cbrt (tan (* l PI))) F) (/ (- (+ (exp (* 1/3 (+ (log PI) (log l)))) (* 127/1620 (* (exp (* 1/3 (+ (log PI) (log l)))) (* (pow PI 4) (pow l 4))))) (* 2/9 (* (exp (* 1/3 (+ (log PI) (log l)))) (* (pow PI 2) (pow l 2))))) F)) (cbrt (tan (* PI l))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (231 enodes) * [exit]simplify: Simplified to (fma (- (cbrt (tan (* l PI)))) (* (/ (/ (cbrt (tan (* l PI))) F) F) (- (fma (* (* (pow PI 1/3) (pow l 1/3)) 127/1620) (* (pow PI 4) (pow l 4)) (* (pow PI 1/3) (pow l 1/3))) (* (* 2/9 (* PI PI)) (* (* l l) (* (pow PI 1/3) (pow l 1/3)))))) (* l PI)) * * * * [misc]progress: [ 55 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (* (* (/ (cbrt (tan (* l PI))) F) (/ (pow (/ (sin (* PI l)) (cos (* PI l))) 1/3) F)) (cbrt (tan (* PI l))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * * [misc]simplify: iters left: 2 (478 enodes) * [exit]simplify: Simplified to (fma (- (cbrt (tan (* l PI)))) (/ (cbrt (/ (sin (* l PI)) (cos (* l PI)))) (/ (* F F) (cbrt (tan (* l PI))))) (* l PI)) * * * * [misc]progress: [ 56 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (* (* (/ (cbrt (tan (* l PI))) F) (/ (pow (/ (sin (* PI l)) (cos (* PI l))) 1/3) F)) (cbrt (tan (* PI l))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * * [misc]simplify: iters left: 2 (478 enodes) * [exit]simplify: Simplified to (fma (- (cbrt (tan (* l PI)))) (/ (cbrt (/ (sin (* l PI)) (cos (* l PI)))) (/ (* F F) (cbrt (tan (* l PI))))) (* l PI)) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 2 1 1 1 2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1 2 1 1 1 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2 1) * [misc]approximate: Taking taylor expansion of (tan (* PI l)) in (l) around 0 * [misc]taylor: Taking taylor expansion of (tan (* PI l)) in l * [misc]taylor: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) * [misc]taylor: Taking taylor expansion of (sin (* PI l)) in l * [misc]taylor: Taking taylor expansion of (* PI l) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (cos (* PI l)) in l * [misc]taylor: Taking taylor expansion of (* PI l) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (tan (* PI l)) in l * [misc]taylor: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) * [misc]taylor: Taking taylor expansion of (sin (* PI l)) in l * [misc]taylor: Taking taylor expansion of (* PI l) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (cos (* PI l)) in l * [misc]taylor: Taking taylor expansion of (* PI l) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 (/ (pow PI 3) 6)) into (* -1/6 (pow PI 3)) * [misc]backup-simplify: Simplify (* -1 (/ (pow PI 2) 2)) into (* -1/2 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* -1/6 (pow PI 3)) (* PI (* -1/2 (pow PI 2)))) into (- (* 2/3 (pow PI 3))) * [misc]backup-simplify: Simplify (- (* 2/3 (pow PI 3))) into (- (* 2/3 (pow PI 3))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow PI 5) 120) into (* 1/120 (pow PI 5)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow PI 4) 24) into (* 1/24 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* 1/120 (pow PI 5)) (+ (* PI (* 1/24 (pow PI 4))) (* (- (* 2/3 (pow PI 3))) (* -1/2 (pow PI 2))))) into (* 23/60 (pow PI 5)) * [misc]backup-simplify: Simplify (* 23/60 (pow PI 5)) into (* 23/60 (pow PI 5)) * [misc]backup-simplify: Simplify (+ (* (* 23/60 (pow PI 5)) (pow l 5)) (+ (* (- (* 2/3 (pow PI 3))) (pow l 3)) (* PI l))) into (- (+ (* 23/60 (* (pow PI 5) (pow l 5))) (* PI l)) (* 2/3 (* (pow PI 3) (pow l 3)))) * [misc]approximate: Taking taylor expansion of (tan (* PI (/ 1 l))) in (l) around 0 * [misc]taylor: Taking taylor expansion of (tan (* PI (/ 1 l))) in l * [misc]taylor: Rewrote expression to (/ (sin (* PI (/ 1 l))) (cos (* PI (/ 1 l)))) * [misc]taylor: Taking taylor expansion of (sin (* PI (/ 1 l))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 l)) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (sin (* PI (/ 1 l))) into (sin (/ PI l)) * [misc]taylor: Taking taylor expansion of (cos (* PI (/ 1 l))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 l)) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (cos (* PI (/ 1 l))) into (cos (/ PI l)) * [misc]backup-simplify: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]taylor: Taking taylor expansion of (tan (* PI (/ 1 l))) in l * [misc]taylor: Rewrote expression to (/ (sin (* PI (/ 1 l))) (cos (* PI (/ 1 l)))) * [misc]taylor: Taking taylor expansion of (sin (* PI (/ 1 l))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 l)) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (sin (* PI (/ 1 l))) into (sin (/ PI l)) * [misc]taylor: Taking taylor expansion of (cos (* PI (/ 1 l))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 l)) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (cos (* PI (/ 1 l))) into (cos (/ PI l)) * [misc]backup-simplify: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]backup-simplify: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (sin (/ PI (/ 1 l))) (cos (/ PI (/ 1 l)))) into (/ (sin (* PI l)) (cos (* PI l))) * [misc]approximate: Taking taylor expansion of (tan (* PI (/ 1 (- l)))) in (l) around 0 * [misc]taylor: Taking taylor expansion of (tan (* PI (/ 1 (- l)))) in l * [misc]taylor: Rewrote expression to (/ (sin (* PI (/ 1 (- l)))) (cos (* PI (/ 1 (- l))))) * [misc]taylor: Taking taylor expansion of (sin (* PI (/ 1 (- l)))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- l))) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (sin (* PI (/ 1 (- l)))) into (sin (* -1 (/ PI l))) * [misc]taylor: Taking taylor expansion of (cos (* PI (/ 1 (- l)))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- l))) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (cos (* PI (/ 1 (- l)))) into (cos (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) * [misc]taylor: Taking taylor expansion of (tan (* PI (/ 1 (- l)))) in l * [misc]taylor: Rewrote expression to (/ (sin (* PI (/ 1 (- l)))) (cos (* PI (/ 1 (- l))))) * [misc]taylor: Taking taylor expansion of (sin (* PI (/ 1 (- l)))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- l))) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (sin (* PI (/ 1 (- l)))) into (sin (* -1 (/ PI l))) * [misc]taylor: Taking taylor expansion of (cos (* PI (/ 1 (- l)))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- l))) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (cos (* PI (/ 1 (- l)))) into (cos (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) * [misc]backup-simplify: Simplify (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) * [misc]backup-simplify: Simplify (+ (/ 0 (cos (* -1 (/ PI l)))) (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (* -1 (/ PI l)))) (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (* -1 (/ PI l)))) (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (* -1 (/ PI l)))) (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (* -1 (/ PI l)))) (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (* -1 (/ PI l)))) (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (sin (* -1 (/ PI (/ 1 (- l))))) (cos (* -1 (/ PI (/ 1 (- l)))))) into (/ (sin (* PI l)) (cos (* PI l))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1 2 1 1 2 1) * [misc]approximate: Taking taylor expansion of (tan (* l PI)) in (l) around 0 * [misc]taylor: Taking taylor expansion of (tan (* l PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* l PI)) (cos (* l PI))) * [misc]taylor: Taking taylor expansion of (sin (* l PI)) in l * [misc]taylor: Taking taylor expansion of (* l PI) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (cos (* l PI)) in l * [misc]taylor: Taking taylor expansion of (* l PI) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (tan (* l PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* l PI)) (cos (* l PI))) * [misc]taylor: Taking taylor expansion of (sin (* l PI)) in l * [misc]taylor: Taking taylor expansion of (* l PI) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (cos (* l PI)) in l * [misc]taylor: Taking taylor expansion of (* l PI) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 (/ (pow PI 3) 6)) into (* -1/6 (pow PI 3)) * [misc]backup-simplify: Simplify (* -1 (/ (pow PI 2) 2)) into (* -1/2 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* -1/6 (pow PI 3)) (* PI (* -1/2 (pow PI 2)))) into (- (* 2/3 (pow PI 3))) * [misc]backup-simplify: Simplify (- (* 2/3 (pow PI 3))) into (- (* 2/3 (pow PI 3))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow PI 5) 120) into (* 1/120 (pow PI 5)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow PI 4) 24) into (* 1/24 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* 1/120 (pow PI 5)) (+ (* PI (* 1/24 (pow PI 4))) (* (- (* 2/3 (pow PI 3))) (* -1/2 (pow PI 2))))) into (* 23/60 (pow PI 5)) * [misc]backup-simplify: Simplify (* 23/60 (pow PI 5)) into (* 23/60 (pow PI 5)) * [misc]backup-simplify: Simplify (+ (* (* 23/60 (pow PI 5)) (pow l 5)) (+ (* (- (* 2/3 (pow PI 3))) (pow l 3)) (* PI l))) into (- (+ (* 23/60 (* (pow PI 5) (pow l 5))) (* PI l)) (* 2/3 (* (pow PI 3) (pow l 3)))) * [misc]approximate: Taking taylor expansion of (tan (* (/ 1 l) PI)) in (l) around 0 * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 l) PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 l) PI)) (cos (* (/ 1 l) PI))) * [misc]taylor: Taking taylor expansion of (sin (* (/ 1 l) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 l) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (sin (* (/ 1 l) PI)) into (sin (/ PI l)) * [misc]taylor: Taking taylor expansion of (cos (* (/ 1 l) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 l) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (cos (* (/ 1 l) PI)) into (cos (/ PI l)) * [misc]backup-simplify: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 l) PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 l) PI)) (cos (* (/ 1 l) PI))) * [misc]taylor: Taking taylor expansion of (sin (* (/ 1 l) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 l) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (sin (* (/ 1 l) PI)) into (sin (/ PI l)) * [misc]taylor: Taking taylor expansion of (cos (* (/ 1 l) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 l) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (cos (* (/ 1 l) PI)) into (cos (/ PI l)) * [misc]backup-simplify: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]backup-simplify: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (sin (/ PI (/ 1 l))) (cos (/ PI (/ 1 l)))) into (/ (sin (* PI l)) (cos (* PI l))) * [misc]approximate: Taking taylor expansion of (tan (* (/ 1 (- l)) PI)) in (l) around 0 * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 (- l)) PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 (- l)) PI)) (cos (* (/ 1 (- l)) PI))) * [misc]taylor: Taking taylor expansion of (sin (* (/ 1 (- l)) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 (- l)) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (sin (* (/ 1 (- l)) PI)) into (sin (* -1 (/ PI l))) * [misc]taylor: Taking taylor expansion of (cos (* (/ 1 (- l)) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 (- l)) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (cos (* (/ 1 (- l)) PI)) into (cos (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 (- l)) PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 (- l)) PI)) (cos (* (/ 1 (- l)) PI))) * [misc]taylor: Taking taylor expansion of (sin (* (/ 1 (- l)) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 (- l)) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (sin (* (/ 1 (- l)) PI)) into (sin (* -1 (/ PI l))) * [misc]taylor: Taking taylor expansion of (cos (* (/ 1 (- l)) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 (- l)) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (cos (* (/ 1 (- l)) PI)) into (cos (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) * [misc]backup-simplify: Simplify (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) * [misc]backup-simplify: Simplify (+ (/ 0 (cos (* -1 (/ PI l)))) (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (* -1 (/ PI l)))) (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (* -1 (/ PI l)))) (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (* -1 (/ PI l)))) (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (* -1 (/ PI l)))) (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (* -1 (/ PI l)))) (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (sin (* -1 (/ PI (/ 1 (- l))))) (cos (* -1 (/ PI (/ 1 (- l)))))) into (/ (sin (* PI l)) (cos (* PI l))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1 2 1 1 1 2 1) * [misc]approximate: Taking taylor expansion of (tan (* l PI)) in (l) around 0 * [misc]taylor: Taking taylor expansion of (tan (* l PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* l PI)) (cos (* l PI))) * [misc]taylor: Taking taylor expansion of (sin (* l PI)) in l * [misc]taylor: Taking taylor expansion of (* l PI) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (cos (* l PI)) in l * [misc]taylor: Taking taylor expansion of (* l PI) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (tan (* l PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* l PI)) (cos (* l PI))) * [misc]taylor: Taking taylor expansion of (sin (* l PI)) in l * [misc]taylor: Taking taylor expansion of (* l PI) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (cos (* l PI)) in l * [misc]taylor: Taking taylor expansion of (* l PI) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 (/ (pow PI 3) 6)) into (* -1/6 (pow PI 3)) * [misc]backup-simplify: Simplify (* -1 (/ (pow PI 2) 2)) into (* -1/2 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* -1/6 (pow PI 3)) (* PI (* -1/2 (pow PI 2)))) into (- (* 2/3 (pow PI 3))) * [misc]backup-simplify: Simplify (- (* 2/3 (pow PI 3))) into (- (* 2/3 (pow PI 3))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow PI 5) 120) into (* 1/120 (pow PI 5)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow PI 4) 24) into (* 1/24 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* 1/120 (pow PI 5)) (+ (* PI (* 1/24 (pow PI 4))) (* (- (* 2/3 (pow PI 3))) (* -1/2 (pow PI 2))))) into (* 23/60 (pow PI 5)) * [misc]backup-simplify: Simplify (* 23/60 (pow PI 5)) into (* 23/60 (pow PI 5)) * [misc]backup-simplify: Simplify (+ (* (* 23/60 (pow PI 5)) (pow l 5)) (+ (* (- (* 2/3 (pow PI 3))) (pow l 3)) (* PI l))) into (- (+ (* 23/60 (* (pow PI 5) (pow l 5))) (* PI l)) (* 2/3 (* (pow PI 3) (pow l 3)))) * [misc]approximate: Taking taylor expansion of (tan (* (/ 1 l) PI)) in (l) around 0 * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 l) PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 l) PI)) (cos (* (/ 1 l) PI))) * [misc]taylor: Taking taylor expansion of (sin (* (/ 1 l) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 l) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (sin (* (/ 1 l) PI)) into (sin (/ PI l)) * [misc]taylor: Taking taylor expansion of (cos (* (/ 1 l) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 l) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (cos (* (/ 1 l) PI)) into (cos (/ PI l)) * [misc]backup-simplify: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 l) PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 l) PI)) (cos (* (/ 1 l) PI))) * [misc]taylor: Taking taylor expansion of (sin (* (/ 1 l) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 l) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (sin (* (/ 1 l) PI)) into (sin (/ PI l)) * [misc]taylor: Taking taylor expansion of (cos (* (/ 1 l) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 l) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (cos (* (/ 1 l) PI)) into (cos (/ PI l)) * [misc]backup-simplify: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]backup-simplify: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (sin (/ PI (/ 1 l))) (cos (/ PI (/ 1 l)))) into (/ (sin (* PI l)) (cos (* PI l))) * [misc]approximate: Taking taylor expansion of (tan (* (/ 1 (- l)) PI)) in (l) around 0 * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 (- l)) PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 (- l)) PI)) (cos (* (/ 1 (- l)) PI))) * [misc]taylor: Taking taylor expansion of (sin (* (/ 1 (- l)) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 (- l)) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (sin (* (/ 1 (- l)) PI)) into (sin (* -1 (/ PI l))) * [misc]taylor: Taking taylor expansion of (cos (* (/ 1 (- l)) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 (- l)) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (cos (* (/ 1 (- l)) PI)) into (cos (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 (- l)) PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 (- l)) PI)) (cos (* (/ 1 (- l)) PI))) * [misc]taylor: Taking taylor expansion of (sin (* (/ 1 (- l)) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 (- l)) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (sin (* (/ 1 (- l)) PI)) into (sin (* -1 (/ PI l))) * [misc]taylor: Taking taylor expansion of (cos (* (/ 1 (- l)) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 (- l)) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (cos (* (/ 1 (- l)) PI)) into (cos (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) * [misc]backup-simplify: Simplify (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) * [misc]backup-simplify: Simplify (+ (/ 0 (cos (* -1 (/ PI l)))) (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (* -1 (/ PI l)))) (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (* -1 (/ PI l)))) (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (* -1 (/ PI l)))) (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (* -1 (/ PI l)))) (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (* -1 (/ PI l)))) (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (sin (* -1 (/ PI (/ 1 (- l))))) (cos (* -1 (/ PI (/ 1 (- l)))))) into (/ (sin (* PI l)) (cos (* PI l))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1 2 1 1 1 1 1) * [misc]approximate: Taking taylor expansion of (tan (* l PI)) in (l) around 0 * [misc]taylor: Taking taylor expansion of (tan (* l PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* l PI)) (cos (* l PI))) * [misc]taylor: Taking taylor expansion of (sin (* l PI)) in l * [misc]taylor: Taking taylor expansion of (* l PI) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (cos (* l PI)) in l * [misc]taylor: Taking taylor expansion of (* l PI) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (tan (* l PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* l PI)) (cos (* l PI))) * [misc]taylor: Taking taylor expansion of (sin (* l PI)) in l * [misc]taylor: Taking taylor expansion of (* l PI) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (cos (* l PI)) in l * [misc]taylor: Taking taylor expansion of (* l PI) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 (/ (pow PI 3) 6)) into (* -1/6 (pow PI 3)) * [misc]backup-simplify: Simplify (* -1 (/ (pow PI 2) 2)) into (* -1/2 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* -1/6 (pow PI 3)) (* PI (* -1/2 (pow PI 2)))) into (- (* 2/3 (pow PI 3))) * [misc]backup-simplify: Simplify (- (* 2/3 (pow PI 3))) into (- (* 2/3 (pow PI 3))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow PI 5) 120) into (* 1/120 (pow PI 5)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow PI 4) 24) into (* 1/24 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* 1/120 (pow PI 5)) (+ (* PI (* 1/24 (pow PI 4))) (* (- (* 2/3 (pow PI 3))) (* -1/2 (pow PI 2))))) into (* 23/60 (pow PI 5)) * [misc]backup-simplify: Simplify (* 23/60 (pow PI 5)) into (* 23/60 (pow PI 5)) * [misc]backup-simplify: Simplify (+ (* (* 23/60 (pow PI 5)) (pow l 5)) (+ (* (- (* 2/3 (pow PI 3))) (pow l 3)) (* PI l))) into (- (+ (* 23/60 (* (pow PI 5) (pow l 5))) (* PI l)) (* 2/3 (* (pow PI 3) (pow l 3)))) * [misc]approximate: Taking taylor expansion of (tan (* (/ 1 l) PI)) in (l) around 0 * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 l) PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 l) PI)) (cos (* (/ 1 l) PI))) * [misc]taylor: Taking taylor expansion of (sin (* (/ 1 l) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 l) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (sin (* (/ 1 l) PI)) into (sin (/ PI l)) * [misc]taylor: Taking taylor expansion of (cos (* (/ 1 l) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 l) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (cos (* (/ 1 l) PI)) into (cos (/ PI l)) * [misc]backup-simplify: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 l) PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 l) PI)) (cos (* (/ 1 l) PI))) * [misc]taylor: Taking taylor expansion of (sin (* (/ 1 l) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 l) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (sin (* (/ 1 l) PI)) into (sin (/ PI l)) * [misc]taylor: Taking taylor expansion of (cos (* (/ 1 l) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 l) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (cos (* (/ 1 l) PI)) into (cos (/ PI l)) * [misc]backup-simplify: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]backup-simplify: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (sin (/ PI (/ 1 l))) (cos (/ PI (/ 1 l)))) into (/ (sin (* PI l)) (cos (* PI l))) * [misc]approximate: Taking taylor expansion of (tan (* (/ 1 (- l)) PI)) in (l) around 0 * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 (- l)) PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 (- l)) PI)) (cos (* (/ 1 (- l)) PI))) * [misc]taylor: Taking taylor expansion of (sin (* (/ 1 (- l)) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 (- l)) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (sin (* (/ 1 (- l)) PI)) into (sin (* -1 (/ PI l))) * [misc]taylor: Taking taylor expansion of (cos (* (/ 1 (- l)) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 (- l)) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (cos (* (/ 1 (- l)) PI)) into (cos (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 (- l)) PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 (- l)) PI)) (cos (* (/ 1 (- l)) PI))) * [misc]taylor: Taking taylor expansion of (sin (* (/ 1 (- l)) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 (- l)) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (sin (* (/ 1 (- l)) PI)) into (sin (* -1 (/ PI l))) * [misc]taylor: Taking taylor expansion of (cos (* (/ 1 (- l)) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 (- l)) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (cos (* (/ 1 (- l)) PI)) into (cos (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) * [misc]backup-simplify: Simplify (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) * [misc]backup-simplify: Simplify (+ (/ 0 (cos (* -1 (/ PI l)))) (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (* -1 (/ PI l)))) (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (* -1 (/ PI l)))) (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (* -1 (/ PI l)))) (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (* -1 (/ PI l)))) (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (* -1 (/ PI l)))) (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (sin (* -1 (/ PI (/ 1 (- l))))) (cos (* -1 (/ PI (/ 1 (- l)))))) into (/ (sin (* PI l)) (cos (* PI l))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (tan (* PI l))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (expm1 (tan (* l PI))) * [exit]simplify: Simplified to (expm1 (tan (* l PI))) * * * * [misc]progress: [ 2 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (tan (* PI l))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (log1p (tan (* l PI))) * [exit]simplify: Simplified to (log1p (tan (* l PI))) * * * * [misc]progress: [ 3 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (sin (* PI l)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sin (* l PI)) * [exit]simplify: Simplified to (sin (* l PI)) * [enter]simplify: Simplifying (cos (* PI l)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cos (* l PI)) * [exit]simplify: Simplified to (cos (* l PI)) * * * * [misc]progress: [ 4 / 52 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (log (tan (* PI l))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (log (tan (* l PI))) * [exit]simplify: Simplified to (log (tan (* l PI))) * * * * [misc]progress: [ 6 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (tan (* PI l))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (exp (tan (* l PI))) * [exit]simplify: Simplified to (exp (tan (* l PI))) * * * * [misc]progress: [ 7 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (tan (* l PI))) (cbrt (tan (* l PI)))) * [exit]simplify: Simplified to (* (cbrt (tan (* l PI))) (cbrt (tan (* l PI)))) * [enter]simplify: Simplifying (cbrt (tan (* PI l))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (tan (* l PI))) * [exit]simplify: Simplified to (cbrt (tan (* l PI))) * * * * [misc]progress: [ 8 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (pow (tan (* l PI)) 3) * [exit]simplify: Simplified to (pow (tan (* l PI)) 3) * * * * [misc]progress: [ 9 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (tan (* PI l))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (tan (* l PI))) * [exit]simplify: Simplified to (sqrt (tan (* l PI))) * [enter]simplify: Simplifying (sqrt (tan (* PI l))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (tan (* l PI))) * [exit]simplify: Simplified to (sqrt (tan (* l PI))) * * * * [misc]progress: [ 10 / 52 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (tan (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (expm1 (tan (* PI l))) * [exit]simplify: Simplified to (expm1 (tan (* PI l))) * * * * [misc]progress: [ 12 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (tan (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (log1p (tan (* PI l))) * [exit]simplify: Simplified to (log1p (tan (* PI l))) * * * * [misc]progress: [ 13 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (sin (* l PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sin (* PI l)) * [exit]simplify: Simplified to (sin (* PI l)) * [enter]simplify: Simplifying (cos (* l PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cos (* PI l)) * [exit]simplify: Simplified to (cos (* PI l)) * * * * [misc]progress: [ 14 / 52 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (log (tan (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (log (tan (* PI l))) * [exit]simplify: Simplified to (log (tan (* PI l))) * * * * [misc]progress: [ 16 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (tan (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (exp (tan (* PI l))) * [exit]simplify: Simplified to (exp (tan (* PI l))) * * * * [misc]progress: [ 17 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (tan (* l PI))) (cbrt (tan (* l PI)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l)))) * [exit]simplify: Simplified to (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l)))) * [enter]simplify: Simplifying (cbrt (tan (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (tan (* PI l))) * [exit]simplify: Simplified to (cbrt (tan (* PI l))) * * * * [misc]progress: [ 18 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (tan (* l PI)) (tan (* l PI))) (tan (* l PI))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (pow (tan (* PI l)) 3) * [exit]simplify: Simplified to (pow (tan (* PI l)) 3) * * * * [misc]progress: [ 19 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (tan (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (tan (* PI l))) * [exit]simplify: Simplified to (sqrt (tan (* PI l))) * [enter]simplify: Simplifying (sqrt (tan (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (tan (* PI l))) * [exit]simplify: Simplified to (sqrt (tan (* PI l))) * * * * [misc]progress: [ 20 / 52 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (tan (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (expm1 (tan (* PI l))) * [exit]simplify: Simplified to (expm1 (tan (* PI l))) * * * * [misc]progress: [ 22 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (tan (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (log1p (tan (* PI l))) * [exit]simplify: Simplified to (log1p (tan (* PI l))) * * * * [misc]progress: [ 23 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (sin (* l PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sin (* PI l)) * [exit]simplify: Simplified to (sin (* PI l)) * [enter]simplify: Simplifying (cos (* l PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cos (* PI l)) * [exit]simplify: Simplified to (cos (* PI l)) * * * * [misc]progress: [ 24 / 52 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (log (tan (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (log (tan (* PI l))) * [exit]simplify: Simplified to (log (tan (* PI l))) * * * * [misc]progress: [ 26 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (tan (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (exp (tan (* PI l))) * [exit]simplify: Simplified to (exp (tan (* PI l))) * * * * [misc]progress: [ 27 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (tan (* l PI))) (cbrt (tan (* l PI)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l)))) * [exit]simplify: Simplified to (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l)))) * [enter]simplify: Simplifying (cbrt (tan (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (tan (* PI l))) * [exit]simplify: Simplified to (cbrt (tan (* PI l))) * * * * [misc]progress: [ 28 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (tan (* l PI)) (tan (* l PI))) (tan (* l PI))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (pow (tan (* PI l)) 3) * [exit]simplify: Simplified to (pow (tan (* PI l)) 3) * * * * [misc]progress: [ 29 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (tan (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (tan (* PI l))) * [exit]simplify: Simplified to (sqrt (tan (* PI l))) * [enter]simplify: Simplifying (sqrt (tan (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (tan (* PI l))) * [exit]simplify: Simplified to (sqrt (tan (* PI l))) * * * * [misc]progress: [ 30 / 52 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (tan (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (expm1 (tan (* PI l))) * [exit]simplify: Simplified to (expm1 (tan (* PI l))) * * * * [misc]progress: [ 32 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (tan (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (log1p (tan (* PI l))) * [exit]simplify: Simplified to (log1p (tan (* PI l))) * * * * [misc]progress: [ 33 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (sin (* l PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sin (* PI l)) * [exit]simplify: Simplified to (sin (* PI l)) * [enter]simplify: Simplifying (cos (* l PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cos (* PI l)) * [exit]simplify: Simplified to (cos (* PI l)) * * * * [misc]progress: [ 34 / 52 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (log (tan (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (log (tan (* PI l))) * [exit]simplify: Simplified to (log (tan (* PI l))) * * * * [misc]progress: [ 36 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (tan (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (exp (tan (* PI l))) * [exit]simplify: Simplified to (exp (tan (* PI l))) * * * * [misc]progress: [ 37 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (tan (* l PI))) (cbrt (tan (* l PI)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l)))) * [exit]simplify: Simplified to (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l)))) * [enter]simplify: Simplifying (cbrt (tan (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (tan (* PI l))) * [exit]simplify: Simplified to (cbrt (tan (* PI l))) * * * * [misc]progress: [ 38 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (tan (* l PI)) (tan (* l PI))) (tan (* l PI))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (pow (tan (* PI l)) 3) * [exit]simplify: Simplified to (pow (tan (* PI l)) 3) * * * * [misc]progress: [ 39 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (tan (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (tan (* PI l))) * [exit]simplify: Simplified to (sqrt (tan (* PI l))) * [enter]simplify: Simplifying (sqrt (tan (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (tan (* PI l))) * [exit]simplify: Simplified to (sqrt (tan (* PI l))) * * * * [misc]progress: [ 40 / 52 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (* (* (/ (cbrt (tan (* l PI))) F) (/ (cbrt (* (* (cbrt (tan (* l PI))) (cbrt (tan (* l PI)))) (cbrt (tan (* l PI))))) F)) (cbrt (- (+ (* 23/60 (* (pow PI 5) (pow l 5))) (* PI l)) (* 2/3 (* (pow PI 3) (pow l 3))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * * [misc]simplify: iters left: 3 (498 enodes) * [exit]simplify: Simplified to (fma (cbrt (- (fma (* (pow l 5) (pow PI 5)) 23/60 (* l PI)) (* (* (* l 2/3) (* PI PI)) (* (* l PI) l)))) (* (/ (cbrt (tan (* l PI))) (* F F)) (- (cbrt (tan (* l PI))))) (* l PI)) * * * * [misc]progress: [ 42 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (* (* (/ (cbrt (tan (* l PI))) F) (/ (cbrt (* (* (cbrt (tan (* l PI))) (cbrt (tan (* l PI)))) (cbrt (tan (* l PI))))) F)) (cbrt (/ (sin (* PI l)) (cos (* PI l)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (200 enodes) * [exit]simplify: Simplified to (fma (* (/ (cbrt (tan (* l PI))) F) (/ (cbrt (tan (* l PI))) F)) (- (cbrt (/ (sin (* l PI)) (cos (* l PI))))) (* l PI)) * * * * [misc]progress: [ 43 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (* (* (/ (cbrt (tan (* l PI))) F) (/ (cbrt (* (* (cbrt (tan (* l PI))) (cbrt (tan (* l PI)))) (cbrt (tan (* l PI))))) F)) (cbrt (/ (sin (* PI l)) (cos (* PI l)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (200 enodes) * [exit]simplify: Simplified to (fma (* (/ (cbrt (tan (* l PI))) F) (/ (cbrt (tan (* l PI))) F)) (- (cbrt (/ (sin (* l PI)) (cos (* l PI))))) (* l PI)) * * * * [misc]progress: [ 44 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (* (* (/ (cbrt (tan (* l PI))) F) (/ (cbrt (* (* (cbrt (tan (* l PI))) (cbrt (tan (* l PI)))) (cbrt (- (+ (* 23/60 (* (pow PI 5) (pow l 5))) (* PI l)) (* 2/3 (* (pow PI 3) (pow l 3))))))) F)) (cbrt (tan (* PI l))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (181 enodes) * [exit]simplify: Simplified to (fma (* (/ (/ (cbrt (tan (* l PI))) F) F) (cbrt (* (cbrt (- (fma 23/60 (* (pow PI 5) (pow l 5)) (* l PI)) (* (* 2/3 (* l l)) (* (* PI PI) (* l PI))))) (* (cbrt (tan (* l PI))) (cbrt (tan (* l PI))))))) (- (cbrt (tan (* l PI)))) (* l PI)) * * * * [misc]progress: [ 45 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (* (* (/ (cbrt (tan (* l PI))) F) (/ (cbrt (* (* (cbrt (tan (* l PI))) (cbrt (tan (* l PI)))) (cbrt (/ (sin (* PI l)) (cos (* PI l)))))) F)) (cbrt (tan (* PI l))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (224 enodes) * * [misc]simplify: iters left: 2 (493 enodes) * [exit]simplify: Simplified to (- (* l PI) (* (cbrt (* (cbrt (/ (sin (* l PI)) (cos (* l PI)))) (* (cbrt (tan (* l PI))) (cbrt (tan (* l PI)))))) (* (/ (cbrt (tan (* l PI))) F) (/ (cbrt (tan (* l PI))) F)))) * * * * [misc]progress: [ 46 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (* (* (/ (cbrt (tan (* l PI))) F) (/ (cbrt (* (* (cbrt (tan (* l PI))) (cbrt (tan (* l PI)))) (cbrt (/ (sin (* PI l)) (cos (* PI l)))))) F)) (cbrt (tan (* PI l))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (224 enodes) * * [misc]simplify: iters left: 2 (493 enodes) * [exit]simplify: Simplified to (- (* l PI) (* (cbrt (* (cbrt (/ (sin (* l PI)) (cos (* l PI)))) (* (cbrt (tan (* l PI))) (cbrt (tan (* l PI)))))) (* (/ (cbrt (tan (* l PI))) F) (/ (cbrt (tan (* l PI))) F)))) * * * * [misc]progress: [ 47 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (* (* (/ (cbrt (tan (* l PI))) F) (/ (cbrt (* (* (cbrt (tan (* l PI))) (cbrt (- (+ (* 23/60 (* (pow PI 5) (pow l 5))) (* PI l)) (* 2/3 (* (pow PI 3) (pow l 3)))))) (cbrt (tan (* l PI))))) F)) (cbrt (tan (* PI l))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (179 enodes) * [exit]simplify: Simplified to (fma (- (/ (cbrt (tan (* l PI))) F)) (* (/ (cbrt (tan (* l PI))) F) (cbrt (* (* (cbrt (tan (* l PI))) (cbrt (tan (* l PI)))) (cbrt (- (fma 23/60 (* (pow l 5) (pow PI 5)) (* l PI)) (* (* 2/3 (* PI PI)) (* (* l l) (* l PI)))))))) (* l PI)) * * * * [misc]progress: [ 48 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (* (* (/ (cbrt (tan (* l PI))) F) (/ (cbrt (* (* (cbrt (tan (* l PI))) (cbrt (/ (sin (* PI l)) (cos (* PI l))))) (cbrt (tan (* l PI))))) F)) (cbrt (tan (* PI l))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (- (* l PI) (/ (cbrt (* (* (cbrt (tan (* l PI))) (cbrt (tan (* l PI)))) (cbrt (/ (sin (* l PI)) (cos (* l PI)))))) (* (/ F (cbrt (tan (* l PI)))) (/ F (cbrt (tan (* l PI))))))) * * * * [misc]progress: [ 49 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (* (* (/ (cbrt (tan (* l PI))) F) (/ (cbrt (* (* (cbrt (tan (* l PI))) (cbrt (/ (sin (* PI l)) (cos (* PI l))))) (cbrt (tan (* l PI))))) F)) (cbrt (tan (* PI l))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (- (* l PI) (/ (cbrt (* (* (cbrt (tan (* l PI))) (cbrt (tan (* l PI)))) (cbrt (/ (sin (* l PI)) (cos (* l PI)))))) (* (/ F (cbrt (tan (* l PI)))) (/ F (cbrt (tan (* l PI))))))) * * * * [misc]progress: [ 50 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (* (* (/ (cbrt (tan (* l PI))) F) (/ (cbrt (* (* (cbrt (- (+ (* 23/60 (* (pow PI 5) (pow l 5))) (* PI l)) (* 2/3 (* (pow PI 3) (pow l 3))))) (cbrt (tan (* l PI)))) (cbrt (tan (* l PI))))) F)) (cbrt (tan (* PI l))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (183 enodes) * [exit]simplify: Simplified to (fma (- (/ (cbrt (tan (* l PI))) F)) (* (/ (cbrt (tan (* l PI))) F) (cbrt (* (cbrt (- (fma 23/60 (* (pow l 5) (pow PI 5)) (* l PI)) (* (* 2/3 (* l l)) (* (* PI PI) (* l PI))))) (* (cbrt (tan (* l PI))) (cbrt (tan (* l PI))))))) (* l PI)) * * * * [misc]progress: [ 51 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (* (* (/ (cbrt (tan (* l PI))) F) (/ (cbrt (* (* (cbrt (/ (sin (* PI l)) (cos (* PI l)))) (cbrt (tan (* l PI)))) (cbrt (tan (* l PI))))) F)) (cbrt (tan (* PI l))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (239 enodes) * [exit]simplify: Simplified to (- (* l PI) (* (* (/ (cbrt (tan (* l PI))) F) (/ (cbrt (tan (* l PI))) F)) (cbrt (* (* (cbrt (tan (* l PI))) (cbrt (tan (* l PI)))) (cbrt (/ (sin (* l PI)) (cos (* l PI)))))))) * * * * [misc]progress: [ 52 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (* (* (/ (cbrt (tan (* l PI))) F) (/ (cbrt (* (* (cbrt (/ (sin (* PI l)) (cos (* PI l)))) (cbrt (tan (* l PI)))) (cbrt (tan (* l PI))))) F)) (cbrt (tan (* PI l))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (239 enodes) * [exit]simplify: Simplified to (- (* l PI) (* (* (/ (cbrt (tan (* l PI))) F) (/ (cbrt (tan (* l PI))) F)) (cbrt (* (* (cbrt (tan (* l PI))) (cbrt (tan (* l PI)))) (cbrt (/ (sin (* l PI)) (cos (* l PI)))))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1 2 1 2 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 2 1 1 2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1 2 1 1 1 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2 1) * [misc]approximate: Taking taylor expansion of (tan (* PI l)) in (l) around 0 * [misc]taylor: Taking taylor expansion of (tan (* PI l)) in l * [misc]taylor: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) * [misc]taylor: Taking taylor expansion of (sin (* PI l)) in l * [misc]taylor: Taking taylor expansion of (* PI l) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (cos (* PI l)) in l * [misc]taylor: Taking taylor expansion of (* PI l) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (tan (* PI l)) in l * [misc]taylor: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) * [misc]taylor: Taking taylor expansion of (sin (* PI l)) in l * [misc]taylor: Taking taylor expansion of (* PI l) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (cos (* PI l)) in l * [misc]taylor: Taking taylor expansion of (* PI l) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 (/ (pow PI 3) 6)) into (* -1/6 (pow PI 3)) * [misc]backup-simplify: Simplify (* -1 (/ (pow PI 2) 2)) into (* -1/2 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* -1/6 (pow PI 3)) (* PI (* -1/2 (pow PI 2)))) into (- (* 2/3 (pow PI 3))) * [misc]backup-simplify: Simplify (- (* 2/3 (pow PI 3))) into (- (* 2/3 (pow PI 3))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow PI 5) 120) into (* 1/120 (pow PI 5)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow PI 4) 24) into (* 1/24 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* 1/120 (pow PI 5)) (+ (* PI (* 1/24 (pow PI 4))) (* (- (* 2/3 (pow PI 3))) (* -1/2 (pow PI 2))))) into (* 23/60 (pow PI 5)) * [misc]backup-simplify: Simplify (* 23/60 (pow PI 5)) into (* 23/60 (pow PI 5)) * [misc]backup-simplify: Simplify (+ (* (* 23/60 (pow PI 5)) (pow l 5)) (+ (* (- (* 2/3 (pow PI 3))) (pow l 3)) (* PI l))) into (- (+ (* 23/60 (* (pow PI 5) (pow l 5))) (* PI l)) (* 2/3 (* (pow PI 3) (pow l 3)))) * [misc]approximate: Taking taylor expansion of (tan (* PI (/ 1 l))) in (l) around 0 * [misc]taylor: Taking taylor expansion of (tan (* PI (/ 1 l))) in l * [misc]taylor: Rewrote expression to (/ (sin (* PI (/ 1 l))) (cos (* PI (/ 1 l)))) * [misc]taylor: Taking taylor expansion of (sin (* PI (/ 1 l))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 l)) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (sin (* PI (/ 1 l))) into (sin (/ PI l)) * [misc]taylor: Taking taylor expansion of (cos (* PI (/ 1 l))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 l)) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (cos (* PI (/ 1 l))) into (cos (/ PI l)) * [misc]backup-simplify: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]taylor: Taking taylor expansion of (tan (* PI (/ 1 l))) in l * [misc]taylor: Rewrote expression to (/ (sin (* PI (/ 1 l))) (cos (* PI (/ 1 l)))) * [misc]taylor: Taking taylor expansion of (sin (* PI (/ 1 l))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 l)) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (sin (* PI (/ 1 l))) into (sin (/ PI l)) * [misc]taylor: Taking taylor expansion of (cos (* PI (/ 1 l))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 l)) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (cos (* PI (/ 1 l))) into (cos (/ PI l)) * [misc]backup-simplify: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]backup-simplify: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (sin (/ PI (/ 1 l))) (cos (/ PI (/ 1 l)))) into (/ (sin (* PI l)) (cos (* PI l))) * [misc]approximate: Taking taylor expansion of (tan (* PI (/ 1 (- l)))) in (l) around 0 * [misc]taylor: Taking taylor expansion of (tan (* PI (/ 1 (- l)))) in l * [misc]taylor: Rewrote expression to (/ (sin (* PI (/ 1 (- l)))) (cos (* PI (/ 1 (- l))))) * [misc]taylor: Taking taylor expansion of (sin (* PI (/ 1 (- l)))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- l))) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (sin (* PI (/ 1 (- l)))) into (sin (* -1 (/ PI l))) * [misc]taylor: Taking taylor expansion of (cos (* PI (/ 1 (- l)))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- l))) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (cos (* PI (/ 1 (- l)))) into (cos (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) * [misc]taylor: Taking taylor expansion of (tan (* PI (/ 1 (- l)))) in l * [misc]taylor: Rewrote expression to (/ (sin (* PI (/ 1 (- l)))) (cos (* PI (/ 1 (- l))))) * [misc]taylor: Taking taylor expansion of (sin (* PI (/ 1 (- l)))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- l))) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (sin (* PI (/ 1 (- l)))) into (sin (* -1 (/ PI l))) * [misc]taylor: Taking taylor expansion of (cos (* PI (/ 1 (- l)))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- l))) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (cos (* PI (/ 1 (- l)))) into (cos (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) * [misc]backup-simplify: Simplify (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) * [misc]backup-simplify: Simplify (+ (/ 0 (cos (* -1 (/ PI l)))) (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (* -1 (/ PI l)))) (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (* -1 (/ PI l)))) (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (* -1 (/ PI l)))) (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (* -1 (/ PI l)))) (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (* -1 (/ PI l)))) (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (sin (* -1 (/ PI (/ 1 (- l))))) (cos (* -1 (/ PI (/ 1 (- l)))))) into (/ (sin (* PI l)) (cos (* PI l))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1 2 1 2 1 1) * [misc]approximate: Taking taylor expansion of (tan (* l PI)) in (l) around 0 * [misc]taylor: Taking taylor expansion of (tan (* l PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* l PI)) (cos (* l PI))) * [misc]taylor: Taking taylor expansion of (sin (* l PI)) in l * [misc]taylor: Taking taylor expansion of (* l PI) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (cos (* l PI)) in l * [misc]taylor: Taking taylor expansion of (* l PI) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (tan (* l PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* l PI)) (cos (* l PI))) * [misc]taylor: Taking taylor expansion of (sin (* l PI)) in l * [misc]taylor: Taking taylor expansion of (* l PI) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (cos (* l PI)) in l * [misc]taylor: Taking taylor expansion of (* l PI) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 (/ (pow PI 3) 6)) into (* -1/6 (pow PI 3)) * [misc]backup-simplify: Simplify (* -1 (/ (pow PI 2) 2)) into (* -1/2 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* -1/6 (pow PI 3)) (* PI (* -1/2 (pow PI 2)))) into (- (* 2/3 (pow PI 3))) * [misc]backup-simplify: Simplify (- (* 2/3 (pow PI 3))) into (- (* 2/3 (pow PI 3))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow PI 5) 120) into (* 1/120 (pow PI 5)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow PI 4) 24) into (* 1/24 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* 1/120 (pow PI 5)) (+ (* PI (* 1/24 (pow PI 4))) (* (- (* 2/3 (pow PI 3))) (* -1/2 (pow PI 2))))) into (* 23/60 (pow PI 5)) * [misc]backup-simplify: Simplify (* 23/60 (pow PI 5)) into (* 23/60 (pow PI 5)) * [misc]backup-simplify: Simplify (+ (* (* 23/60 (pow PI 5)) (pow l 5)) (+ (* (- (* 2/3 (pow PI 3))) (pow l 3)) (* PI l))) into (- (+ (* 23/60 (* (pow PI 5) (pow l 5))) (* PI l)) (* 2/3 (* (pow PI 3) (pow l 3)))) * [misc]approximate: Taking taylor expansion of (tan (* (/ 1 l) PI)) in (l) around 0 * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 l) PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 l) PI)) (cos (* (/ 1 l) PI))) * [misc]taylor: Taking taylor expansion of (sin (* (/ 1 l) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 l) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (sin (* (/ 1 l) PI)) into (sin (/ PI l)) * [misc]taylor: Taking taylor expansion of (cos (* (/ 1 l) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 l) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (cos (* (/ 1 l) PI)) into (cos (/ PI l)) * [misc]backup-simplify: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 l) PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 l) PI)) (cos (* (/ 1 l) PI))) * [misc]taylor: Taking taylor expansion of (sin (* (/ 1 l) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 l) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (sin (* (/ 1 l) PI)) into (sin (/ PI l)) * [misc]taylor: Taking taylor expansion of (cos (* (/ 1 l) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 l) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (cos (* (/ 1 l) PI)) into (cos (/ PI l)) * [misc]backup-simplify: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]backup-simplify: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (sin (/ PI (/ 1 l))) (cos (/ PI (/ 1 l)))) into (/ (sin (* PI l)) (cos (* PI l))) * [misc]approximate: Taking taylor expansion of (tan (* (/ 1 (- l)) PI)) in (l) around 0 * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 (- l)) PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 (- l)) PI)) (cos (* (/ 1 (- l)) PI))) * [misc]taylor: Taking taylor expansion of (sin (* (/ 1 (- l)) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 (- l)) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (sin (* (/ 1 (- l)) PI)) into (sin (* -1 (/ PI l))) * [misc]taylor: Taking taylor expansion of (cos (* (/ 1 (- l)) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 (- l)) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (cos (* (/ 1 (- l)) PI)) into (cos (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 (- l)) PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 (- l)) PI)) (cos (* (/ 1 (- l)) PI))) * [misc]taylor: Taking taylor expansion of (sin (* (/ 1 (- l)) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 (- l)) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (sin (* (/ 1 (- l)) PI)) into (sin (* -1 (/ PI l))) * [misc]taylor: Taking taylor expansion of (cos (* (/ 1 (- l)) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 (- l)) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (cos (* (/ 1 (- l)) PI)) into (cos (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) * [misc]backup-simplify: Simplify (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) * [misc]backup-simplify: Simplify (+ (/ 0 (cos (* -1 (/ PI l)))) (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (* -1 (/ PI l)))) (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (* -1 (/ PI l)))) (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (* -1 (/ PI l)))) (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (* -1 (/ PI l)))) (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (* -1 (/ PI l)))) (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (sin (* -1 (/ PI (/ 1 (- l))))) (cos (* -1 (/ PI (/ 1 (- l)))))) into (/ (sin (* PI l)) (cos (* PI l))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1 2 1 1 2 1 1) * [misc]approximate: Taking taylor expansion of (tan (* l PI)) in (l) around 0 * [misc]taylor: Taking taylor expansion of (tan (* l PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* l PI)) (cos (* l PI))) * [misc]taylor: Taking taylor expansion of (sin (* l PI)) in l * [misc]taylor: Taking taylor expansion of (* l PI) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (cos (* l PI)) in l * [misc]taylor: Taking taylor expansion of (* l PI) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (tan (* l PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* l PI)) (cos (* l PI))) * [misc]taylor: Taking taylor expansion of (sin (* l PI)) in l * [misc]taylor: Taking taylor expansion of (* l PI) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (cos (* l PI)) in l * [misc]taylor: Taking taylor expansion of (* l PI) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 (/ (pow PI 3) 6)) into (* -1/6 (pow PI 3)) * [misc]backup-simplify: Simplify (* -1 (/ (pow PI 2) 2)) into (* -1/2 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* -1/6 (pow PI 3)) (* PI (* -1/2 (pow PI 2)))) into (- (* 2/3 (pow PI 3))) * [misc]backup-simplify: Simplify (- (* 2/3 (pow PI 3))) into (- (* 2/3 (pow PI 3))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow PI 5) 120) into (* 1/120 (pow PI 5)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow PI 4) 24) into (* 1/24 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* 1/120 (pow PI 5)) (+ (* PI (* 1/24 (pow PI 4))) (* (- (* 2/3 (pow PI 3))) (* -1/2 (pow PI 2))))) into (* 23/60 (pow PI 5)) * [misc]backup-simplify: Simplify (* 23/60 (pow PI 5)) into (* 23/60 (pow PI 5)) * [misc]backup-simplify: Simplify (+ (* (* 23/60 (pow PI 5)) (pow l 5)) (+ (* (- (* 2/3 (pow PI 3))) (pow l 3)) (* PI l))) into (- (+ (* 23/60 (* (pow PI 5) (pow l 5))) (* PI l)) (* 2/3 (* (pow PI 3) (pow l 3)))) * [misc]approximate: Taking taylor expansion of (tan (* (/ 1 l) PI)) in (l) around 0 * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 l) PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 l) PI)) (cos (* (/ 1 l) PI))) * [misc]taylor: Taking taylor expansion of (sin (* (/ 1 l) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 l) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (sin (* (/ 1 l) PI)) into (sin (/ PI l)) * [misc]taylor: Taking taylor expansion of (cos (* (/ 1 l) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 l) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (cos (* (/ 1 l) PI)) into (cos (/ PI l)) * [misc]backup-simplify: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 l) PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 l) PI)) (cos (* (/ 1 l) PI))) * [misc]taylor: Taking taylor expansion of (sin (* (/ 1 l) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 l) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (sin (* (/ 1 l) PI)) into (sin (/ PI l)) * [misc]taylor: Taking taylor expansion of (cos (* (/ 1 l) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 l) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (cos (* (/ 1 l) PI)) into (cos (/ PI l)) * [misc]backup-simplify: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]backup-simplify: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (sin (/ PI (/ 1 l))) (cos (/ PI (/ 1 l)))) into (/ (sin (* PI l)) (cos (* PI l))) * [misc]approximate: Taking taylor expansion of (tan (* (/ 1 (- l)) PI)) in (l) around 0 * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 (- l)) PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 (- l)) PI)) (cos (* (/ 1 (- l)) PI))) * [misc]taylor: Taking taylor expansion of (sin (* (/ 1 (- l)) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 (- l)) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (sin (* (/ 1 (- l)) PI)) into (sin (* -1 (/ PI l))) * [misc]taylor: Taking taylor expansion of (cos (* (/ 1 (- l)) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 (- l)) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (cos (* (/ 1 (- l)) PI)) into (cos (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 (- l)) PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 (- l)) PI)) (cos (* (/ 1 (- l)) PI))) * [misc]taylor: Taking taylor expansion of (sin (* (/ 1 (- l)) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 (- l)) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (sin (* (/ 1 (- l)) PI)) into (sin (* -1 (/ PI l))) * [misc]taylor: Taking taylor expansion of (cos (* (/ 1 (- l)) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 (- l)) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (cos (* (/ 1 (- l)) PI)) into (cos (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) * [misc]backup-simplify: Simplify (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) * [misc]backup-simplify: Simplify (+ (/ 0 (cos (* -1 (/ PI l)))) (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (* -1 (/ PI l)))) (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (* -1 (/ PI l)))) (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (* -1 (/ PI l)))) (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (* -1 (/ PI l)))) (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (* -1 (/ PI l)))) (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (sin (* -1 (/ PI (/ 1 (- l))))) (cos (* -1 (/ PI (/ 1 (- l)))))) into (/ (sin (* PI l)) (cos (* PI l))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1 2 1 1 1 1 1) * [misc]approximate: Taking taylor expansion of (tan (* l PI)) in (l) around 0 * [misc]taylor: Taking taylor expansion of (tan (* l PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* l PI)) (cos (* l PI))) * [misc]taylor: Taking taylor expansion of (sin (* l PI)) in l * [misc]taylor: Taking taylor expansion of (* l PI) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (cos (* l PI)) in l * [misc]taylor: Taking taylor expansion of (* l PI) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (tan (* l PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* l PI)) (cos (* l PI))) * [misc]taylor: Taking taylor expansion of (sin (* l PI)) in l * [misc]taylor: Taking taylor expansion of (* l PI) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (cos (* l PI)) in l * [misc]taylor: Taking taylor expansion of (* l PI) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 (/ (pow PI 3) 6)) into (* -1/6 (pow PI 3)) * [misc]backup-simplify: Simplify (* -1 (/ (pow PI 2) 2)) into (* -1/2 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* -1/6 (pow PI 3)) (* PI (* -1/2 (pow PI 2)))) into (- (* 2/3 (pow PI 3))) * [misc]backup-simplify: Simplify (- (* 2/3 (pow PI 3))) into (- (* 2/3 (pow PI 3))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow PI 5) 120) into (* 1/120 (pow PI 5)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow PI 4) 24) into (* 1/24 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* 1/120 (pow PI 5)) (+ (* PI (* 1/24 (pow PI 4))) (* (- (* 2/3 (pow PI 3))) (* -1/2 (pow PI 2))))) into (* 23/60 (pow PI 5)) * [misc]backup-simplify: Simplify (* 23/60 (pow PI 5)) into (* 23/60 (pow PI 5)) * [misc]backup-simplify: Simplify (+ (* (* 23/60 (pow PI 5)) (pow l 5)) (+ (* (- (* 2/3 (pow PI 3))) (pow l 3)) (* PI l))) into (- (+ (* 23/60 (* (pow PI 5) (pow l 5))) (* PI l)) (* 2/3 (* (pow PI 3) (pow l 3)))) * [misc]approximate: Taking taylor expansion of (tan (* (/ 1 l) PI)) in (l) around 0 * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 l) PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 l) PI)) (cos (* (/ 1 l) PI))) * [misc]taylor: Taking taylor expansion of (sin (* (/ 1 l) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 l) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (sin (* (/ 1 l) PI)) into (sin (/ PI l)) * [misc]taylor: Taking taylor expansion of (cos (* (/ 1 l) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 l) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (cos (* (/ 1 l) PI)) into (cos (/ PI l)) * [misc]backup-simplify: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 l) PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 l) PI)) (cos (* (/ 1 l) PI))) * [misc]taylor: Taking taylor expansion of (sin (* (/ 1 l) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 l) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (sin (* (/ 1 l) PI)) into (sin (/ PI l)) * [misc]taylor: Taking taylor expansion of (cos (* (/ 1 l) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 l) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (cos (* (/ 1 l) PI)) into (cos (/ PI l)) * [misc]backup-simplify: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]backup-simplify: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (sin (/ PI (/ 1 l))) (cos (/ PI (/ 1 l)))) into (/ (sin (* PI l)) (cos (* PI l))) * [misc]approximate: Taking taylor expansion of (tan (* (/ 1 (- l)) PI)) in (l) around 0 * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 (- l)) PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 (- l)) PI)) (cos (* (/ 1 (- l)) PI))) * [misc]taylor: Taking taylor expansion of (sin (* (/ 1 (- l)) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 (- l)) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (sin (* (/ 1 (- l)) PI)) into (sin (* -1 (/ PI l))) * [misc]taylor: Taking taylor expansion of (cos (* (/ 1 (- l)) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 (- l)) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (cos (* (/ 1 (- l)) PI)) into (cos (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 (- l)) PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 (- l)) PI)) (cos (* (/ 1 (- l)) PI))) * [misc]taylor: Taking taylor expansion of (sin (* (/ 1 (- l)) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 (- l)) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (sin (* (/ 1 (- l)) PI)) into (sin (* -1 (/ PI l))) * [misc]taylor: Taking taylor expansion of (cos (* (/ 1 (- l)) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 (- l)) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (cos (* (/ 1 (- l)) PI)) into (cos (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) * [misc]backup-simplify: Simplify (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) * [misc]backup-simplify: Simplify (+ (/ 0 (cos (* -1 (/ PI l)))) (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (* -1 (/ PI l)))) (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (* -1 (/ PI l)))) (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (* -1 (/ PI l)))) (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (* -1 (/ PI l)))) (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (* -1 (/ PI l)))) (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (sin (* -1 (/ PI (/ 1 (- l))))) (cos (* -1 (/ PI (/ 1 (- l)))))) into (/ (sin (* PI l)) (cos (* PI l))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (tan (* PI l))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (expm1 (tan (* l PI))) * [exit]simplify: Simplified to (expm1 (tan (* l PI))) * * * * [misc]progress: [ 2 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (tan (* PI l))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (log1p (tan (* l PI))) * [exit]simplify: Simplified to (log1p (tan (* l PI))) * * * * [misc]progress: [ 3 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (sin (* PI l)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sin (* l PI)) * [exit]simplify: Simplified to (sin (* l PI)) * [enter]simplify: Simplifying (cos (* PI l)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cos (* l PI)) * [exit]simplify: Simplified to (cos (* l PI)) * * * * [misc]progress: [ 4 / 52 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (log (tan (* PI l))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (log (tan (* l PI))) * [exit]simplify: Simplified to (log (tan (* l PI))) * * * * [misc]progress: [ 6 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (tan (* PI l))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (exp (tan (* l PI))) * [exit]simplify: Simplified to (exp (tan (* l PI))) * * * * [misc]progress: [ 7 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (tan (* l PI))) (cbrt (tan (* l PI)))) * [exit]simplify: Simplified to (* (cbrt (tan (* l PI))) (cbrt (tan (* l PI)))) * [enter]simplify: Simplifying (cbrt (tan (* PI l))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (tan (* l PI))) * [exit]simplify: Simplified to (cbrt (tan (* l PI))) * * * * [misc]progress: [ 8 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (pow (tan (* l PI)) 3) * [exit]simplify: Simplified to (pow (tan (* l PI)) 3) * * * * [misc]progress: [ 9 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (tan (* PI l))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (tan (* l PI))) * [exit]simplify: Simplified to (sqrt (tan (* l PI))) * [enter]simplify: Simplifying (sqrt (tan (* PI l))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (tan (* l PI))) * [exit]simplify: Simplified to (sqrt (tan (* l PI))) * * * * [misc]progress: [ 10 / 52 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (tan (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (expm1 (tan (* PI l))) * [exit]simplify: Simplified to (expm1 (tan (* PI l))) * * * * [misc]progress: [ 12 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (tan (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (log1p (tan (* PI l))) * [exit]simplify: Simplified to (log1p (tan (* PI l))) * * * * [misc]progress: [ 13 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (sin (* l PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sin (* PI l)) * [exit]simplify: Simplified to (sin (* PI l)) * [enter]simplify: Simplifying (cos (* l PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cos (* PI l)) * [exit]simplify: Simplified to (cos (* PI l)) * * * * [misc]progress: [ 14 / 52 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (log (tan (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (log (tan (* PI l))) * [exit]simplify: Simplified to (log (tan (* PI l))) * * * * [misc]progress: [ 16 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (tan (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (exp (tan (* PI l))) * [exit]simplify: Simplified to (exp (tan (* PI l))) * * * * [misc]progress: [ 17 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (tan (* l PI))) (cbrt (tan (* l PI)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l)))) * [exit]simplify: Simplified to (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l)))) * [enter]simplify: Simplifying (cbrt (tan (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (tan (* PI l))) * [exit]simplify: Simplified to (cbrt (tan (* PI l))) * * * * [misc]progress: [ 18 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (tan (* l PI)) (tan (* l PI))) (tan (* l PI))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (pow (tan (* PI l)) 3) * [exit]simplify: Simplified to (pow (tan (* PI l)) 3) * * * * [misc]progress: [ 19 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (tan (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (tan (* PI l))) * [exit]simplify: Simplified to (sqrt (tan (* PI l))) * [enter]simplify: Simplifying (sqrt (tan (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (tan (* PI l))) * [exit]simplify: Simplified to (sqrt (tan (* PI l))) * * * * [misc]progress: [ 20 / 52 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (tan (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (expm1 (tan (* PI l))) * [exit]simplify: Simplified to (expm1 (tan (* PI l))) * * * * [misc]progress: [ 22 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (tan (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (log1p (tan (* PI l))) * [exit]simplify: Simplified to (log1p (tan (* PI l))) * * * * [misc]progress: [ 23 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (sin (* l PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sin (* PI l)) * [exit]simplify: Simplified to (sin (* PI l)) * [enter]simplify: Simplifying (cos (* l PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cos (* PI l)) * [exit]simplify: Simplified to (cos (* PI l)) * * * * [misc]progress: [ 24 / 52 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (log (tan (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (log (tan (* PI l))) * [exit]simplify: Simplified to (log (tan (* PI l))) * * * * [misc]progress: [ 26 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (tan (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (exp (tan (* PI l))) * [exit]simplify: Simplified to (exp (tan (* PI l))) * * * * [misc]progress: [ 27 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (tan (* l PI))) (cbrt (tan (* l PI)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l)))) * [exit]simplify: Simplified to (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l)))) * [enter]simplify: Simplifying (cbrt (tan (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (tan (* PI l))) * [exit]simplify: Simplified to (cbrt (tan (* PI l))) * * * * [misc]progress: [ 28 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (tan (* l PI)) (tan (* l PI))) (tan (* l PI))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (pow (tan (* PI l)) 3) * [exit]simplify: Simplified to (pow (tan (* PI l)) 3) * * * * [misc]progress: [ 29 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (tan (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (tan (* PI l))) * [exit]simplify: Simplified to (sqrt (tan (* PI l))) * [enter]simplify: Simplifying (sqrt (tan (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (tan (* PI l))) * [exit]simplify: Simplified to (sqrt (tan (* PI l))) * * * * [misc]progress: [ 30 / 52 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (tan (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (expm1 (tan (* PI l))) * [exit]simplify: Simplified to (expm1 (tan (* PI l))) * * * * [misc]progress: [ 32 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (tan (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (log1p (tan (* PI l))) * [exit]simplify: Simplified to (log1p (tan (* PI l))) * * * * [misc]progress: [ 33 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (sin (* l PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sin (* PI l)) * [exit]simplify: Simplified to (sin (* PI l)) * [enter]simplify: Simplifying (cos (* l PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cos (* PI l)) * [exit]simplify: Simplified to (cos (* PI l)) * * * * [misc]progress: [ 34 / 52 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (log (tan (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (log (tan (* PI l))) * [exit]simplify: Simplified to (log (tan (* PI l))) * * * * [misc]progress: [ 36 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (tan (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (exp (tan (* PI l))) * [exit]simplify: Simplified to (exp (tan (* PI l))) * * * * [misc]progress: [ 37 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (tan (* l PI))) (cbrt (tan (* l PI)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l)))) * [exit]simplify: Simplified to (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l)))) * [enter]simplify: Simplifying (cbrt (tan (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (tan (* PI l))) * [exit]simplify: Simplified to (cbrt (tan (* PI l))) * * * * [misc]progress: [ 38 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (tan (* l PI)) (tan (* l PI))) (tan (* l PI))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (pow (tan (* PI l)) 3) * [exit]simplify: Simplified to (pow (tan (* PI l)) 3) * * * * [misc]progress: [ 39 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (tan (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (tan (* PI l))) * [exit]simplify: Simplified to (sqrt (tan (* PI l))) * [enter]simplify: Simplifying (sqrt (tan (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (tan (* PI l))) * [exit]simplify: Simplified to (sqrt (tan (* PI l))) * * * * [misc]progress: [ 40 / 52 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (* (* (/ (cbrt (tan (* l PI))) F) (/ (* (* (cbrt (cbrt (tan (* l PI)))) (cbrt (cbrt (tan (* l PI))))) (cbrt (cbrt (tan (* l PI))))) F)) (cbrt (- (+ (* 23/60 (* (pow PI 5) (pow l 5))) (* PI l)) (* 2/3 (* (pow PI 3) (pow l 3))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (179 enodes) * [exit]simplify: Simplified to (- (* l PI) (* (* (/ (cbrt (tan (* l PI))) F) (/ (cbrt (tan (* l PI))) F)) (cbrt (- (fma (* (pow l 5) (pow PI 5)) 23/60 (* l PI)) (* (* (* 2/3 PI) PI) (* (* l PI) (* l l))))))) * * * * [misc]progress: [ 42 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (* (* (/ (cbrt (tan (* l PI))) F) (/ (* (* (cbrt (cbrt (tan (* l PI)))) (cbrt (cbrt (tan (* l PI))))) (cbrt (cbrt (tan (* l PI))))) F)) (cbrt (/ (sin (* PI l)) (cos (* PI l)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (296 enodes) * [exit]simplify: Simplified to (fma (* (/ (cbrt (tan (* l PI))) F) (/ (cbrt (tan (* l PI))) F)) (- (cbrt (/ (sin (* l PI)) (cos (* l PI))))) (* l PI)) * * * * [misc]progress: [ 43 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (* (* (/ (cbrt (tan (* l PI))) F) (/ (* (* (cbrt (cbrt (tan (* l PI)))) (cbrt (cbrt (tan (* l PI))))) (cbrt (cbrt (tan (* l PI))))) F)) (cbrt (/ (sin (* PI l)) (cos (* PI l)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (296 enodes) * [exit]simplify: Simplified to (fma (* (/ (cbrt (tan (* l PI))) F) (/ (cbrt (tan (* l PI))) F)) (- (cbrt (/ (sin (* l PI)) (cos (* l PI))))) (* l PI)) * * * * [misc]progress: [ 44 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (* (* (/ (cbrt (tan (* l PI))) F) (/ (* (* (cbrt (cbrt (tan (* l PI)))) (cbrt (cbrt (tan (* l PI))))) (cbrt (cbrt (- (+ (* 23/60 (* (pow PI 5) (pow l 5))) (* PI l)) (* 2/3 (* (pow PI 3) (pow l 3))))))) F)) (cbrt (tan (* PI l))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (193 enodes) * [exit]simplify: Simplified to (fma (/ (- (cbrt (tan (* l PI)))) F) (* (cbrt (cbrt (- (fma (* (pow PI 5) 23/60) (pow l 5) (* l PI)) (* (* (* 2/3 PI) PI) (* (* l PI) (* l l)))))) (* (* (cbrt (cbrt (tan (* l PI)))) (cbrt (cbrt (tan (* l PI))))) (/ (cbrt (tan (* l PI))) F))) (* l PI)) * * * * [misc]progress: [ 45 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (* (* (/ (cbrt (tan (* l PI))) F) (/ (* (* (cbrt (cbrt (tan (* l PI)))) (cbrt (cbrt (tan (* l PI))))) (cbrt (cbrt (/ (sin (* PI l)) (cos (* PI l)))))) F)) (cbrt (tan (* PI l))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (330 enodes) * [exit]simplify: Simplified to (- (* l PI) (* (* (cbrt (cbrt (tan (* l PI)))) (/ (cbrt (tan (* l PI))) F)) (* (cbrt (cbrt (/ (sin (* l PI)) (cos (* l PI))))) (* (cbrt (cbrt (tan (* l PI)))) (/ (cbrt (tan (* l PI))) F))))) * * * * [misc]progress: [ 46 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (* (* (/ (cbrt (tan (* l PI))) F) (/ (* (* (cbrt (cbrt (tan (* l PI)))) (cbrt (cbrt (tan (* l PI))))) (cbrt (cbrt (/ (sin (* PI l)) (cos (* PI l)))))) F)) (cbrt (tan (* PI l))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (330 enodes) * [exit]simplify: Simplified to (- (* l PI) (* (* (cbrt (cbrt (tan (* l PI)))) (/ (cbrt (tan (* l PI))) F)) (* (cbrt (cbrt (/ (sin (* l PI)) (cos (* l PI))))) (* (cbrt (cbrt (tan (* l PI)))) (/ (cbrt (tan (* l PI))) F))))) * * * * [misc]progress: [ 47 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (* (* (/ (cbrt (tan (* l PI))) F) (/ (* (* (cbrt (cbrt (tan (* l PI)))) (cbrt (cbrt (- (+ (* 23/60 (* (pow PI 5) (pow l 5))) (* PI l)) (* 2/3 (* (pow PI 3) (pow l 3))))))) (cbrt (cbrt (tan (* l PI))))) F)) (cbrt (tan (* PI l))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * [exit]simplify: Simplified to (fma (- (/ (cbrt (tan (* l PI))) F)) (* (* (* (cbrt (cbrt (tan (* l PI)))) (/ (cbrt (tan (* l PI))) F)) (cbrt (cbrt (tan (* l PI))))) (cbrt (cbrt (- (fma 23/60 (* (pow PI 5) (pow l 5)) (* l PI)) (* (* (* 2/3 PI) PI) (* (* l PI) (* l l))))))) (* l PI)) * * * * [misc]progress: [ 48 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (* (* (/ (cbrt (tan (* l PI))) F) (/ (* (* (cbrt (cbrt (tan (* l PI)))) (cbrt (cbrt (/ (sin (* PI l)) (cos (* PI l)))))) (cbrt (cbrt (tan (* l PI))))) F)) (cbrt (tan (* PI l))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (331 enodes) * [exit]simplify: Simplified to (- (* l PI) (* (* (cbrt (cbrt (tan (* l PI)))) (/ (cbrt (tan (* l PI))) F)) (* (cbrt (cbrt (/ (sin (* l PI)) (cos (* l PI))))) (* (cbrt (cbrt (tan (* l PI)))) (/ (cbrt (tan (* l PI))) F))))) * * * * [misc]progress: [ 49 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (* (* (/ (cbrt (tan (* l PI))) F) (/ (* (* (cbrt (cbrt (tan (* l PI)))) (cbrt (cbrt (/ (sin (* PI l)) (cos (* PI l)))))) (cbrt (cbrt (tan (* l PI))))) F)) (cbrt (tan (* PI l))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (331 enodes) * [exit]simplify: Simplified to (- (* l PI) (* (* (cbrt (cbrt (tan (* l PI)))) (/ (cbrt (tan (* l PI))) F)) (* (cbrt (cbrt (/ (sin (* l PI)) (cos (* l PI))))) (* (cbrt (cbrt (tan (* l PI)))) (/ (cbrt (tan (* l PI))) F))))) * * * * [misc]progress: [ 50 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (* (* (/ (cbrt (tan (* l PI))) F) (/ (* (* (cbrt (cbrt (- (+ (* 23/60 (* (pow PI 5) (pow l 5))) (* PI l)) (* 2/3 (* (pow PI 3) (pow l 3)))))) (cbrt (cbrt (tan (* l PI))))) (cbrt (cbrt (tan (* l PI))))) F)) (cbrt (tan (* PI l))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (193 enodes) * [exit]simplify: Simplified to (fma (- (/ (cbrt (tan (* l PI))) F)) (* (cbrt (cbrt (- (fma 23/60 (* (pow l 5) (pow PI 5)) (* l PI)) (* (* 2/3 (* l l)) (* (* l PI) (* PI PI)))))) (* (* (cbrt (cbrt (tan (* l PI)))) (cbrt (cbrt (tan (* l PI))))) (/ (cbrt (tan (* l PI))) F))) (* l PI)) * * * * [misc]progress: [ 51 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (* (* (/ (cbrt (tan (* l PI))) F) (/ (* (* (cbrt (cbrt (/ (sin (* PI l)) (cos (* PI l))))) (cbrt (cbrt (tan (* l PI))))) (cbrt (cbrt (tan (* l PI))))) F)) (cbrt (tan (* PI l))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (331 enodes) * [exit]simplify: Simplified to (- (* l PI) (* (* (* (cbrt (cbrt (tan (* l PI)))) (/ (cbrt (tan (* l PI))) F)) (cbrt (cbrt (/ (sin (* l PI)) (cos (* l PI)))))) (* (cbrt (cbrt (tan (* l PI)))) (/ (cbrt (tan (* l PI))) F)))) * * * * [misc]progress: [ 52 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (* (* (/ (cbrt (tan (* l PI))) F) (/ (* (* (cbrt (cbrt (/ (sin (* PI l)) (cos (* PI l))))) (cbrt (cbrt (tan (* l PI))))) (cbrt (cbrt (tan (* l PI))))) F)) (cbrt (tan (* PI l))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (331 enodes) * [exit]simplify: Simplified to (- (* l PI) (* (* (* (cbrt (cbrt (tan (* l PI)))) (/ (cbrt (tan (* l PI))) F)) (cbrt (cbrt (/ (sin (* l PI)) (cos (* l PI)))))) (* (cbrt (cbrt (tan (* l PI)))) (/ (cbrt (tan (* l PI))) F)))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# # # # # # # # # # # # # #) * [misc]regimes: Found splitpoints: (#s(sp 0 (+ (* l PI) (/ (/ (sin (* l PI)) F) (* F (cos (* l PI))))) +nan.0)) , with alts (#) * [enter]simplify: Simplifying (* (cbrt (tan (* l PI))) (cbrt (tan (* l PI)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l)))) * [exit]simplify: Simplified to (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l)))) * [enter]simplify: Simplifying (cbrt (tan (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (tan (* PI l))) * [exit]simplify: Simplified to (cbrt (tan (* PI l))) * * * * [misc]points: Sampling 8000 additional inputs, on iter 0 have 0 / 8000 * * * * [misc]points: Computing exacts on every 500 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 250 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 125 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 62 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 31 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 15 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 7 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 3 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts for 8000 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2624 * * * * [misc]points: Setting MPFR precision to 2880 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 572 additional inputs, on iter 1 have 7428 / 8000 * * * * [misc]points: Computing exacts on every 35 of 572 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2624 * * * * [misc]points: Setting MPFR precision to 2880 * * * * [misc]points: Computing exacts on every 17 of 572 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2624 * * * * [misc]points: Setting MPFR precision to 2880 * * * * [misc]points: Computing exacts on every 8 of 572 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2624 * * * * [misc]points: Setting MPFR precision to 2880 * * * * [misc]points: Computing exacts on every 4 of 572 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2624 * * * * [misc]points: Setting MPFR precision to 2880 * * * * [misc]points: Computing exacts on every 2 of 572 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2624 * * * * [misc]points: Setting MPFR precision to 2880 * * * * [misc]points: Computing exacts for 572 points * * * * [misc]points: Setting MPFR precision to 2624 * * * * [misc]points: Setting MPFR precision to 2880 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 47 additional inputs, on iter 2 have 7953 / 8000 * * * * [misc]points: Computing exacts on every 2 of 47 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2624 * * * * [misc]points: Setting MPFR precision to 2880 * * * * [misc]points: Computing exacts for 47 points * * * * [misc]points: Setting MPFR precision to 2624 * * * * [misc]points: Setting MPFR precision to 2880 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 7 additional inputs, on iter 3 have 7993 / 8000 * * * * [misc]points: Computing exacts for 7 points * * * * [misc]points: Setting MPFR precision to 2624 * * * * [misc]points: Setting MPFR precision to 2880 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 8000 points with exact outputs