* [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 (20 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (166 enodes) * * [misc]simplify: iters left: 1 (262 enodes) * [exit]simplify: Simplified to (- (* l PI) (/ (tan (* l PI)) (* F F))) * * [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 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 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: [ 2 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (/ (tan (* l PI)) (* F F)) in (l F) around 0 * [misc]taylor: Taking taylor expansion of (/ (tan (* l PI)) (* F F)) in F * [misc]taylor: Taking taylor expansion of (tan (* l PI)) in F * [misc]taylor: Rewrote expression to (/ (sin (* l PI)) (cos (* l PI))) * [misc]taylor: Taking taylor expansion of (sin (* l PI)) in F * [misc]taylor: Taking taylor expansion of (* l PI) in F * [misc]taylor: Taking taylor expansion of l in F * [misc]backup-simplify: Simplify l into l * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* l PI) 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 (* l PI)) in F * [misc]taylor: Taking taylor expansion of (* l PI) in F * [misc]taylor: Taking taylor expansion of l in F * [misc]backup-simplify: Simplify l into l * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* l PI) 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 (* 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 (/ (sin (* PI l)) (cos (* PI l))) into (/ (sin (* PI l)) (cos (* PI l))) * [misc]taylor: Taking taylor expansion of (/ (tan (* l PI)) (* F F)) 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]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 (/ PI (pow F 2)) into (/ PI (pow F 2)) * [misc]taylor: Taking taylor expansion of (/ (tan (* l PI)) (* F F)) 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]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 (/ PI (pow F 2)) into (/ PI (pow F 2)) * [misc]taylor: Taking taylor expansion of (/ PI (pow F 2)) in F * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow F 2) in F * [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 (pow F 2)) (* (/ PI (pow F 2)) (/ 0 (pow F 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 0 into 0 * [misc]backup-simplify: Simplify (+ (/ (- (* 2/3 (pow PI 3))) (pow F 2)) (* (/ PI (pow F 2)) (/ 0 (pow F 2)))) into (- (* 2/3 (/ (pow PI 3) (pow F 2)))) * [misc]taylor: Taking taylor expansion of (- (* 2/3 (/ (pow PI 3) (pow F 2)))) in F * [misc]taylor: Taking taylor expansion of (* 2/3 (/ (pow PI 3) (pow F 2))) in F * [misc]taylor: Taking taylor expansion of 2/3 in F * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]taylor: Taking taylor expansion of (/ (pow PI 3) (pow F 2)) in F * [misc]taylor: Taking taylor expansion of (pow PI 3) in F * [misc]taylor: Taking taylor expansion of (exp (* 3 (log PI))) in F * [misc]taylor: Taking taylor expansion of (* 3 (log PI)) in F * [misc]taylor: Taking taylor expansion of 3 in F * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log PI) in F * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 3 (log PI)) into (* 3 (log PI)) * [misc]backup-simplify: Simplify (exp (* 3 (log PI))) into (pow PI 3) * [misc]taylor: Taking taylor expansion of (pow F 2) in F * [misc]backup-simplify: Simplify (pow PI 3) into (pow PI 3) * [misc]backup-simplify: Simplify (* 2/3 (pow PI 3)) 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 (* 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 (pow F 2)) (+ (* (/ PI (pow F 2)) (/ 0 (pow F 2))) (* (- (* 2/3 (/ (pow PI 3) (pow F 2)))) (/ 0 (pow F 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 0 PI) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 0 into 0 * [misc]backup-simplify: Simplify (+ (/ (* 23/60 (pow PI 5)) (pow F 2)) (+ (* (/ PI (pow F 2)) (/ 0 (pow F 2))) (* (- (* 2/3 (/ (pow PI 3) (pow F 2)))) (/ 0 (pow F 2))))) into (* 23/60 (/ (pow PI 5) (pow F 2))) * [misc]taylor: Taking taylor expansion of (* 23/60 (/ (pow PI 5) (pow F 2))) in F * [misc]taylor: Taking taylor expansion of 23/60 in F * [misc]backup-simplify: Simplify 23/60 into 23/60 * [misc]taylor: Taking taylor expansion of (/ (pow PI 5) (pow F 2)) in F * [misc]taylor: Taking taylor expansion of (pow PI 5) in F * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in F * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in F * [misc]taylor: Taking taylor expansion of 5 in F * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in F * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]taylor: Taking taylor expansion of (pow F 2) in F * [misc]backup-simplify: Simplify (pow PI 5) into (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)) into (* 23/60 (pow PI 5)) * [misc]backup-simplify: Simplify (+ (* (* 23/60 (pow PI 5)) (* (pow F -2) (pow l 5))) (+ (* (* 2/3 (pow PI 3)) (* (pow F -2) (pow l 3))) (* PI (* (pow F -2) l)))) into (+ (* 23/60 (/ (* (pow PI 5) (pow l 5)) (pow F 2))) (+ (* 2/3 (/ (* (pow PI 3) (pow l 3)) (pow F 2))) (/ (* PI l) (pow F 2)))) * [misc]approximate: Taking taylor expansion of (/ (tan (* (/ 1 l) PI)) (* (/ 1 F) (/ 1 F))) in (l F) around 0 * [misc]taylor: Taking taylor expansion of (/ (tan (* (/ 1 l) PI)) (* (/ 1 F) (/ 1 F))) in F * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 l) PI)) in F * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 l) PI)) (cos (* (/ 1 l) PI))) * [misc]taylor: Taking taylor expansion of (sin (* (/ 1 l) PI)) in F * [misc]taylor: Taking taylor expansion of (* (/ 1 l) PI) in F * [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]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* (/ 1 l) PI) 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 (* (/ 1 l) PI)) in F * [misc]taylor: Taking taylor expansion of (* (/ 1 l) PI) in F * [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]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* (/ 1 l) PI) 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) (/ 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 (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]taylor: Taking taylor expansion of (/ (tan (* (/ 1 l) PI)) (* (/ 1 F) (/ 1 F))) 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]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 (/ (/ (sin (/ PI l)) (cos (/ PI l))) (/ 1 (pow F 2))) into (/ (* (pow F 2) (sin (/ PI l))) (cos (/ PI l))) * [misc]taylor: Taking taylor expansion of (/ (tan (* (/ 1 l) PI)) (* (/ 1 F) (/ 1 F))) 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]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 (/ (/ (sin (/ PI l)) (cos (/ PI l))) (/ 1 (pow F 2))) into (/ (* (pow F 2) (sin (/ PI l))) (cos (/ PI l))) * [misc]taylor: Taking taylor expansion of (/ (* (pow F 2) (sin (/ PI l))) (cos (/ PI l))) in F * [misc]taylor: Taking taylor expansion of (* (pow F 2) (sin (/ PI l))) in F * [misc]taylor: Taking taylor expansion of (pow F 2) in F * [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 (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]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 F) (/ 0 F)) into 0 * [misc]backup-simplify: Simplify (* (/ 1 F) (/ 0 F)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (/ 1 (pow F 2))) (* (/ (* (pow F 2) (sin (/ PI l))) (cos (/ PI l))) (/ 0 (/ 1 (pow F 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 l) (* (/ PI 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 l) (* (/ PI 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 (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 (* (/ 1 F) (/ 0 F)) into 0 * [misc]backup-simplify: Simplify (* (/ 1 F) (/ 0 F)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (/ 1 (pow F 2))) (* (/ (* (pow F 2) (sin (/ PI l))) (cos (/ PI l))) (/ 0 (/ 1 (pow F 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 l) (* (/ PI 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 l) (* (/ PI 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 (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 (* (/ 1 F) (/ 0 F)) into 0 * [misc]backup-simplify: Simplify (* (/ 1 F) (/ 0 F)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (/ 1 (pow F 2))) (* (/ (* (pow F 2) (sin (/ PI l))) (cos (/ PI l))) (/ 0 (/ 1 (pow F 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in F * [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 (/ (tan (* (/ 1 (- l)) PI)) (* (/ 1 (- F)) (/ 1 (- F)))) in (l F) around 0 * [misc]taylor: Taking taylor expansion of (/ (tan (* (/ 1 (- l)) PI)) (* (/ 1 (- F)) (/ 1 (- F)))) in F * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 (- l)) PI)) in F * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 (- l)) PI)) (cos (* (/ 1 (- l)) PI))) * [misc]taylor: Taking taylor expansion of (sin (* (/ 1 (- l)) PI)) in F * [misc]taylor: Taking taylor expansion of (* (/ 1 (- l)) PI) in F * [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]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* (/ 1 l) PI) 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 (* (/ 1 (- l)) PI)) in F * [misc]taylor: Taking taylor expansion of (* (/ 1 (- l)) PI) in F * [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]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* (/ 1 l) PI) 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)) (/ 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 (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]taylor: Taking taylor expansion of (/ (tan (* (/ 1 (- l)) PI)) (* (/ 1 (- F)) (/ 1 (- F)))) 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]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 (/ (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 1 (pow F 2))) into (/ (* (pow F 2) (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l)))) * [misc]taylor: Taking taylor expansion of (/ (tan (* (/ 1 (- l)) PI)) (* (/ 1 (- F)) (/ 1 (- F)))) 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]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 (/ (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 1 (pow F 2))) into (/ (* (pow F 2) (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l)))) * [misc]taylor: Taking taylor expansion of (/ (* (pow F 2) (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l)))) in F * [misc]taylor: Taking taylor expansion of (* (pow F 2) (sin (* -1 (/ PI l)))) in F * [misc]taylor: Taking taylor expansion of (pow F 2) in F * [misc]taylor: Taking taylor expansion of (sin (* -1 (/ PI l))) in F * [misc]taylor: Taking taylor expansion of (* -1 (/ PI l)) in F * [misc]taylor: Taking taylor expansion of -1 in F * [misc]backup-simplify: Simplify -1 into -1 * [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 (* -1 (/ PI l)) into (* -1 (/ PI l)) * [misc]backup-simplify: Simplify (sin (* -1 (/ PI l))) into (sin (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (cos (* -1 (/ PI l))) into (cos (* -1 (/ PI l))) * [misc]taylor: Taking taylor expansion of (cos (* -1 (/ PI l))) in F * [misc]taylor: Taking taylor expansion of (* -1 (/ PI l)) in F * [misc]taylor: Taking taylor expansion of -1 in F * [misc]backup-simplify: Simplify -1 into -1 * [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 (* -1 (/ PI l)) into (* -1 (/ PI l)) * [misc]backup-simplify: Simplify (cos (* -1 (/ PI l))) into (cos (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (sin (* -1 (/ PI l))) into (sin (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (sin (* -1 (/ PI l))) into (sin (* -1 (/ PI l))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sin (* -1 (/ PI l))) into (sin (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (sin (* -1 (/ PI l))) into (sin (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (cos (* -1 (/ PI l))) into (cos (* -1 (/ PI l))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (* -1 (/ PI 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 F into F * [misc]backup-simplify: Simplify (* (/ 1 F) (/ 0 F)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify (* (/ 1 F) (/ 0 F)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (/ 1 (pow F 2))) (* (/ (* (pow F 2) (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l)))) (/ 0 (/ 1 (pow F 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 l) (* (/ PI 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 (+ (/ 0 l) (* (/ PI 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 (* -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 F into F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify (* (/ 1 F) (/ 0 F)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify (* (/ 1 F) (/ 0 F)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (/ 1 (pow F 2))) (* (/ (* (pow F 2) (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l)))) (/ 0 (/ 1 (pow F 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 l) (* (/ PI 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 (+ (/ 0 l) (* (/ PI 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 (* -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 F into F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify (* (/ 1 F) (/ 0 F)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify (* (/ 1 F) (/ 0 F)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (/ 1 (pow F 2))) (* (/ (* (pow F 2) (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l)))) (/ 0 (/ 1 (pow F 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ (sin (* -1 (/ PI (/ 1 (- l))))) (cos (* -1 (/ PI (/ 1 (- l)))))) (pow (/ 1 (- F)) 2)) into (/ (sin (* PI l)) (* (pow F 2) (cos (* PI l)))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1 1) * [misc]approximate: Taking taylor expansion of (* l PI) in (l) around 0 * [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]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 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 (* (/ 1 l) PI) in (l) around 0 * [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]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 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 (* (/ 1 (- l)) PI) in (l) around 0 * [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]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 (* -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: [ 4 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (* l PI) in (l) around 0 * [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]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 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 (* (/ 1 l) PI) in (l) around 0 * [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]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 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 (* (/ 1 (- l)) PI) in (l) around 0 * [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]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 (* -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 / 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: [ 2 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 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: [ 4 / 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: [ 5 / 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: [ 6 / 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: [ 7 / 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: [ 8 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (tan (* l PI))) (log (* F F))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (- (log (tan (* PI l))) (+ (log F) (log F))) * [exit]simplify: Simplified to (- (log (tan (* PI l))) (+ (log F) (log F))) * * * * [misc]progress: [ 11 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (tan (* l PI)) (* F F))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (log (/ (tan (* PI l)) (* F F))) * [exit]simplify: Simplified to (log (/ (tan (* PI l)) (* F F))) * * * * [misc]progress: [ 12 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (tan (* l PI)) (* F F))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (exp (/ (tan (* PI l)) (* F F))) * [exit]simplify: Simplified to (exp (/ (tan (* PI l)) (* F F))) * * * * [misc]progress: [ 13 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (tan (* l PI)) (tan (* l PI))) (tan (* l PI))) (* (* (* F F) (* F F)) (* F F))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (268 enodes) * [exit]simplify: Simplified to (pow (/ (tan (* PI l)) (* F F)) 3) * [exit]simplify: Simplified to (pow (/ (tan (* PI l)) (* F F)) 3) * * * * [misc]progress: [ 14 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (tan (* l PI)) (* F F))) (cbrt (/ (tan (* l PI)) (* F F)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (tan (* PI l)) (* F F))) (cbrt (/ (tan (* PI l)) (* F F)))) * [exit]simplify: Simplified to (* (cbrt (/ (tan (* PI l)) (* F F))) (cbrt (/ (tan (* PI l)) (* F F)))) * [enter]simplify: Simplifying (cbrt (/ (tan (* l PI)) (* F F))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (cbrt (/ (tan (* PI l)) (* F F))) * [exit]simplify: Simplified to (cbrt (/ (tan (* PI l)) (* F F))) * * * * [misc]progress: [ 15 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (tan (* l PI)) (* F F)) (/ (tan (* l PI)) (* F F))) (/ (tan (* l PI)) (* F F))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * * [misc]simplify: iters left: 2 (386 enodes) * [exit]simplify: Simplified to (pow (/ (tan (* PI l)) (* F F)) 3) * [exit]simplify: Simplified to (pow (/ (tan (* PI l)) (* F F)) 3) * * * * [misc]progress: [ 16 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (tan (* l PI)) (* F F))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (/ (tan (* PI l)) (* F F))) * [exit]simplify: Simplified to (sqrt (/ (tan (* PI l)) (* F F))) * [enter]simplify: Simplifying (sqrt (/ (tan (* l PI)) (* F F))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (/ (tan (* PI l)) (* F F))) * [exit]simplify: Simplified to (sqrt (/ (tan (* PI l)) (* F F))) * * * * [misc]progress: [ 17 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (- (tan (* l PI))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (- (tan (* PI l))) * [exit]simplify: Simplified to (- (tan (* PI l))) * [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: [ 18 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (tan (* l PI))) (cbrt (tan (* l PI)))) F) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (tan (* PI l))) F) (cbrt (tan (* PI l)))) * [exit]simplify: Simplified to (* (/ (cbrt (tan (* PI l))) F) (cbrt (tan (* PI l)))) * [enter]simplify: Simplifying (/ (cbrt (tan (* l PI))) F) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (cbrt (tan (* PI l))) F) * [exit]simplify: Simplified to (/ (cbrt (tan (* PI l))) F) * * * * [misc]progress: [ 19 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (tan (* l PI))) F) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (tan (* PI l))) F) * [exit]simplify: Simplified to (/ (sqrt (tan (* PI l))) F) * [enter]simplify: Simplifying (/ (sqrt (tan (* l PI))) F) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (tan (* PI l))) F) * [exit]simplify: Simplified to (/ (sqrt (tan (* PI l))) F) * * * * [misc]progress: [ 20 / 56 ] 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) * [enter]simplify: Simplifying (/ (tan (* l PI)) F) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (tan (* PI l)) F) * [exit]simplify: Simplified to (/ (tan (* PI l)) F) * * * * [misc]progress: [ 21 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 56 ] 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: [ 23 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* F F) (tan (* l PI))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (/ (* F F) (tan (* l PI))) * [exit]simplify: Simplified to (/ (* F F) (tan (* l PI))) * * * * [misc]progress: [ 24 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (tan (* l PI)) F) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (tan (* PI l)) F) * [exit]simplify: Simplified to (/ (tan (* PI l)) F) * * * * [misc]progress: [ 25 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* F F) (cbrt (tan (* l PI)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (/ (* F F) (cbrt (tan (* l PI)))) * [exit]simplify: Simplified to (/ (* F F) (cbrt (tan (* l PI)))) * * * * [misc]progress: [ 26 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* F F) (sqrt (tan (* l PI)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (/ (* F F) (sqrt (tan (* l PI)))) * [exit]simplify: Simplified to (/ (* F F) (sqrt (tan (* l PI)))) * * * * [misc]progress: [ 27 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* F F) (tan (* l PI))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (/ (* F F) (tan (* l PI))) * [exit]simplify: Simplified to (/ (* F F) (tan (* l PI))) * * * * [misc]progress: [ 28 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* F F) (cos (* l PI))) * * [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 (* l PI)) (* F F)) * [exit]simplify: Simplified to (* (cos (* l PI)) (* F F)) * * * * [misc]progress: [ 29 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* l PI)) * * [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 (* PI l)) * [exit]simplify: Simplified to (log (* PI l)) * * * * [misc]progress: [ 31 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* l PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (exp (* PI l)) * [exit]simplify: Simplified to (exp (* PI l)) * * * * [misc]progress: [ 32 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* l PI)) (cbrt (* l PI))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (* PI l)) (cbrt (* PI l))) * [exit]simplify: Simplified to (* (cbrt (* PI l)) (cbrt (* PI l))) * [enter]simplify: Simplifying (cbrt (* l PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (* PI l)) * [exit]simplify: Simplified to (cbrt (* PI l)) * * * * [misc]progress: [ 33 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* l PI) (* l PI)) (* l PI)) * * [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 (* PI l) 3) * [exit]simplify: Simplified to (pow (* PI l) 3) * * * * [misc]progress: [ 34 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* l PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (* PI l)) * [exit]simplify: Simplified to (sqrt (* PI l)) * [enter]simplify: Simplifying (sqrt (* l PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (* PI l)) * [exit]simplify: Simplified to (sqrt (* PI l)) * * * * [misc]progress: [ 35 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* l PI)) * * [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 (* PI l)) * [exit]simplify: Simplified to (log (* PI l)) * * * * [misc]progress: [ 39 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* l PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (exp (* PI l)) * [exit]simplify: Simplified to (exp (* PI l)) * * * * [misc]progress: [ 40 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* l PI)) (cbrt (* l PI))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (* PI l)) (cbrt (* PI l))) * [exit]simplify: Simplified to (* (cbrt (* PI l)) (cbrt (* PI l))) * [enter]simplify: Simplifying (cbrt (* l PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (* PI l)) * [exit]simplify: Simplified to (cbrt (* PI l)) * * * * [misc]progress: [ 41 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* l PI) (* l PI)) (* l PI)) * * [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 (* PI l) 3) * [exit]simplify: Simplified to (pow (* PI l) 3) * * * * [misc]progress: [ 42 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* l PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (* PI l)) * [exit]simplify: Simplified to (sqrt (* PI l)) * [enter]simplify: Simplifying (sqrt (* l PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (* PI l)) * [exit]simplify: Simplified to (sqrt (* PI l)) * * * * [misc]progress: [ 43 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (/ (- (+ (* 23/60 (* (pow PI 5) (pow l 5))) (* PI l)) (* 2/3 (* (pow PI 3) (pow l 3)))) (* F F))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (134 enodes) * * [misc]simplify: iters left: 3 (486 enodes) * [exit]simplify: Simplified to (- (* PI l) (/ (+ (* 23/60 (* (pow l 5) (pow PI 5))) (+ (* (* (* PI PI) (- 2/3)) (* (* l l) (* PI l))) (* PI l))) (* F F))) * * * * [misc]progress: [ 46 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (/ (/ (sin (* PI l)) (cos (* PI l))) (* F F))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * [exit]simplify: Simplified to (- (* PI l) (/ (sin (* PI l)) (* (* F F) (cos (* PI l))))) * * * * [misc]progress: [ 47 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (/ (/ (sin (* PI l)) (cos (* PI l))) (* F F))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * [exit]simplify: Simplified to (- (* PI l) (/ (sin (* PI l)) (* (* F F) (cos (* PI l))))) * * * * [misc]progress: [ 48 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (+ (* 23/60 (/ (* (pow PI 5) (pow l 5)) (pow F 2))) (+ (* 2/3 (/ (* (pow PI 3) (pow l 3)) (pow F 2))) (/ (* PI l) (pow F 2))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (157 enodes) * [exit]simplify: Simplified to (- (- (- (* PI l) (/ (* PI l) (* F F))) (* (/ (pow PI 3) (* F F)) (* (* 2/3 l) (* l l)))) (/ (* 23/60 (pow PI 5)) (/ (* F F) (pow l 5)))) * * * * [misc]progress: [ 49 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (/ (sin (* PI l)) (* (pow F 2) (cos (* PI l))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (- (* PI l) (/ (sin (* PI l)) (* (cos (* PI l)) (* F F)))) * * * * [misc]progress: [ 50 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (/ (sin (* PI l)) (* (pow F 2) (cos (* PI l))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (- (* PI l) (/ (sin (* PI l)) (* (cos (* PI l)) (* F F)))) * * * * [misc]progress: [ 51 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (/ (tan (* PI l)) (* F F))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (- (* PI l) (/ (tan (* PI l)) (* F F))) * * * * [misc]progress: [ 52 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (/ (tan (* PI l)) (* F F))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (- (* PI l) (/ (tan (* PI l)) (* F F))) * * * * [misc]progress: [ 53 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (/ (tan (* PI l)) (* F F))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (- (* PI l) (/ (tan (* PI l)) (* F F))) * * * * [misc]progress: [ 54 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (/ (tan (* l PI)) (* F F))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (- (* l PI) (/ (tan (* l PI)) (* F F))) * * * * [misc]progress: [ 55 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (/ (tan (* l PI)) (* F F))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (- (* l PI) (/ (tan (* l PI)) (* F F))) * * * * [misc]progress: [ 56 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (/ (tan (* l PI)) (* F F))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (- (* l PI) (/ (tan (* l PI)) (* F F))) * * * [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 1 1) * * * * [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 1 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 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: [ 2 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (/ (/ (tan (* l PI)) F) F) in (l F) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (tan (* l PI)) F) F) in F * [misc]taylor: Taking taylor expansion of (/ (tan (* l PI)) F) in F * [misc]taylor: Taking taylor expansion of (tan (* l PI)) in F * [misc]taylor: Rewrote expression to (/ (sin (* l PI)) (cos (* l PI))) * [misc]taylor: Taking taylor expansion of (sin (* l PI)) in F * [misc]taylor: Taking taylor expansion of (* l PI) in F * [misc]taylor: Taking taylor expansion of l in F * [misc]backup-simplify: Simplify l into l * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* l PI) 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 (* l PI)) in F * [misc]taylor: Taking taylor expansion of (* l PI) in F * [misc]taylor: Taking taylor expansion of l in F * [misc]backup-simplify: Simplify l into l * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* l PI) 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 F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (sin (* PI l)) (cos (* PI l))) into (/ (sin (* PI l)) (cos (* PI l))) * [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 (/ (sin (* PI l)) (cos (* PI l))) into (/ (sin (* PI l)) (cos (* PI l))) * [misc]taylor: Taking taylor expansion of (/ (/ (tan (* l PI)) F) F) in l * [misc]taylor: Taking taylor expansion of (/ (tan (* l PI)) F) 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]taylor: Taking taylor expansion of F in l * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify (/ PI F) into (/ PI F) * [misc]taylor: Taking taylor expansion of F in l * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify (/ (/ PI F) F) into (/ PI (pow F 2)) * [misc]taylor: Taking taylor expansion of (/ (/ (tan (* l PI)) F) F) in l * [misc]taylor: Taking taylor expansion of (/ (tan (* l PI)) F) 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]taylor: Taking taylor expansion of F in l * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify (/ PI F) into (/ PI F) * [misc]taylor: Taking taylor expansion of F in l * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify (/ (/ PI F) F) into (/ PI (pow F 2)) * [misc]taylor: Taking taylor expansion of (/ PI (pow F 2)) in F * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow F 2) in F * [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 F) (* (/ PI F) (/ 0 F))) into 0 * [misc]backup-simplify: Simplify (+ (/ 0 F) (* (/ PI (pow F 2)) (/ 0 F))) into 0 * [misc]taylor: Taking taylor expansion of 0 in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]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))) F) (* (/ PI F) (/ 0 F))) into (- (* 2/3 (/ (pow PI 3) F))) * [misc]backup-simplify: Simplify (+ (/ (- (* 2/3 (/ (pow PI 3) F))) F) (* (/ PI (pow F 2)) (/ 0 F))) into (- (* 2/3 (/ (pow PI 3) (pow F 2)))) * [misc]taylor: Taking taylor expansion of (- (* 2/3 (/ (pow PI 3) (pow F 2)))) in F * [misc]taylor: Taking taylor expansion of (* 2/3 (/ (pow PI 3) (pow F 2))) in F * [misc]taylor: Taking taylor expansion of 2/3 in F * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]taylor: Taking taylor expansion of (/ (pow PI 3) (pow F 2)) in F * [misc]taylor: Taking taylor expansion of (pow PI 3) in F * [misc]taylor: Taking taylor expansion of (exp (* 3 (log PI))) in F * [misc]taylor: Taking taylor expansion of (* 3 (log PI)) in F * [misc]taylor: Taking taylor expansion of 3 in F * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log PI) in F * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 3 (log PI)) into (* 3 (log PI)) * [misc]backup-simplify: Simplify (exp (* 3 (log PI))) into (pow PI 3) * [misc]taylor: Taking taylor expansion of (pow F 2) in F * [misc]backup-simplify: Simplify (pow PI 3) into (pow PI 3) * [misc]backup-simplify: Simplify (* 2/3 (pow PI 3)) 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 (* 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 F) (+ (* (/ PI F) (/ 0 F)) (* (- (* 2/3 (/ (pow PI 3) F))) (/ 0 F)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 0 F) (+ (* (/ PI (pow F 2)) (/ 0 F)) (* (- (* 2/3 (/ (pow PI 3) (pow F 2)))) (/ 0 F)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 0 PI) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]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)) F) (+ (* (/ PI F) (/ 0 F)) (* (- (* 2/3 (/ (pow PI 3) F))) (/ 0 F)))) into (* 23/60 (/ (pow PI 5) F)) * [misc]backup-simplify: Simplify (+ (/ (* 23/60 (/ (pow PI 5) F)) F) (+ (* (/ PI (pow F 2)) (/ 0 F)) (* (- (* 2/3 (/ (pow PI 3) (pow F 2)))) (/ 0 F)))) into (* 23/60 (/ (pow PI 5) (pow F 2))) * [misc]taylor: Taking taylor expansion of (* 23/60 (/ (pow PI 5) (pow F 2))) in F * [misc]taylor: Taking taylor expansion of 23/60 in F * [misc]backup-simplify: Simplify 23/60 into 23/60 * [misc]taylor: Taking taylor expansion of (/ (pow PI 5) (pow F 2)) in F * [misc]taylor: Taking taylor expansion of (pow PI 5) in F * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in F * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in F * [misc]taylor: Taking taylor expansion of 5 in F * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in F * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]taylor: Taking taylor expansion of (pow F 2) in F * [misc]backup-simplify: Simplify (pow PI 5) into (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)) into (* 23/60 (pow PI 5)) * [misc]backup-simplify: Simplify (+ (* (* 23/60 (pow PI 5)) (* (pow F -2) (pow l 5))) (+ (* (* 2/3 (pow PI 3)) (* (pow F -2) (pow l 3))) (* PI (* (pow F -2) l)))) into (+ (* 23/60 (/ (* (pow PI 5) (pow l 5)) (pow F 2))) (+ (* 2/3 (/ (* (pow PI 3) (pow l 3)) (pow F 2))) (/ (* PI l) (pow F 2)))) * [misc]approximate: Taking taylor expansion of (/ (/ (tan (* (/ 1 l) PI)) (/ 1 F)) (/ 1 F)) in (l F) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (tan (* (/ 1 l) PI)) (/ 1 F)) (/ 1 F)) in F * [misc]taylor: Taking taylor expansion of (/ (tan (* (/ 1 l) PI)) (/ 1 F)) in F * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 l) PI)) in F * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 l) PI)) (cos (* (/ 1 l) PI))) * [misc]taylor: Taking taylor expansion of (sin (* (/ 1 l) PI)) in F * [misc]taylor: Taking taylor expansion of (* (/ 1 l) PI) in F * [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]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* (/ 1 l) PI) 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 (* (/ 1 l) PI)) in F * [misc]taylor: Taking taylor expansion of (* (/ 1 l) PI) in F * [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]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* (/ 1 l) PI) 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) 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 (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) * [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 (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]taylor: Taking taylor expansion of (/ (/ (tan (* (/ 1 l) PI)) (/ 1 F)) (/ 1 F)) in l * [misc]taylor: Taking taylor expansion of (/ (tan (* (/ 1 l) PI)) (/ 1 F)) 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]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 (/ (/ (sin (/ PI l)) (cos (/ PI l))) (/ 1 F)) into (/ (* F (sin (/ PI l))) (cos (/ PI 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]backup-simplify: Simplify (/ (/ (* F (sin (/ PI l))) (cos (/ PI l))) (/ 1 F)) into (/ (* (pow F 2) (sin (/ PI l))) (cos (/ PI l))) * [misc]taylor: Taking taylor expansion of (/ (/ (tan (* (/ 1 l) PI)) (/ 1 F)) (/ 1 F)) in l * [misc]taylor: Taking taylor expansion of (/ (tan (* (/ 1 l) PI)) (/ 1 F)) 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]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 (/ (/ (sin (/ PI l)) (cos (/ PI l))) (/ 1 F)) into (/ (* F (sin (/ PI l))) (cos (/ PI 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]backup-simplify: Simplify (/ (/ (* F (sin (/ PI l))) (cos (/ PI l))) (/ 1 F)) into (/ (* (pow F 2) (sin (/ PI l))) (cos (/ PI l))) * [misc]taylor: Taking taylor expansion of (/ (* (pow F 2) (sin (/ PI l))) (cos (/ PI l))) in F * [misc]taylor: Taking taylor expansion of (* (pow F 2) (sin (/ PI l))) in F * [misc]taylor: Taking taylor expansion of (pow F 2) in F * [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 (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]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 F) (/ 0 F)) into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (/ 1 F)) (* (/ (* F (sin (/ PI l))) (cos (/ PI l))) (/ 0 (/ 1 F)))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 F) (/ 0 F)) into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (/ 1 F)) (* (/ (* (pow F 2) (sin (/ PI l))) (cos (/ PI l))) (/ 0 (/ 1 F)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 l) (* (/ PI 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 l) (* (/ PI 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 (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 (* (/ 1 F) (/ 0 F)) into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (/ 1 F)) (* (/ (* F (sin (/ PI l))) (cos (/ PI l))) (/ 0 (/ 1 F)))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 F) (/ 0 F)) into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (/ 1 F)) (* (/ (* (pow F 2) (sin (/ PI l))) (cos (/ PI l))) (/ 0 (/ 1 F)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 l) (* (/ PI 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 l) (* (/ PI 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 (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 (* (/ 1 F) (/ 0 F)) into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (/ 1 F)) (* (/ (* F (sin (/ PI l))) (cos (/ PI l))) (/ 0 (/ 1 F)))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 F) (/ 0 F)) into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (/ 1 F)) (* (/ (* (pow F 2) (sin (/ PI l))) (cos (/ PI l))) (/ 0 (/ 1 F)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in F * [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 (/ (/ (tan (* (/ 1 (- l)) PI)) (/ 1 (- F))) (/ 1 (- F))) in (l F) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (tan (* (/ 1 (- l)) PI)) (/ 1 (- F))) (/ 1 (- F))) in F * [misc]taylor: Taking taylor expansion of (/ (tan (* (/ 1 (- l)) PI)) (/ 1 (- F))) in F * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 (- l)) PI)) in F * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 (- l)) PI)) (cos (* (/ 1 (- l)) PI))) * [misc]taylor: Taking taylor expansion of (sin (* (/ 1 (- l)) PI)) in F * [misc]taylor: Taking taylor expansion of (* (/ 1 (- l)) PI) in F * [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]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* (/ 1 l) PI) 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 (* (/ 1 (- l)) PI)) in F * [misc]taylor: Taking taylor expansion of (* (/ 1 (- l)) PI) in F * [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]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* (/ 1 l) PI) 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)) 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 (/ (/ (sin (/ PI l)) (cos (/ PI l))) -1) into (* -1 (/ (sin (/ PI l)) (cos (/ PI l)))) * [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 (/ (sin (/ PI l)) (cos (/ PI l)))) -1) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]taylor: Taking taylor expansion of (/ (/ (tan (* (/ 1 (- l)) PI)) (/ 1 (- F))) (/ 1 (- F))) in l * [misc]taylor: Taking taylor expansion of (/ (tan (* (/ 1 (- l)) PI)) (/ 1 (- F))) 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]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 (/ (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 1 F)) into (/ (* F (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI 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]backup-simplify: Simplify (/ (/ (* F (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l)))) (/ 1 F)) into (/ (* (pow F 2) (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l)))) * [misc]taylor: Taking taylor expansion of (/ (/ (tan (* (/ 1 (- l)) PI)) (/ 1 (- F))) (/ 1 (- F))) in l * [misc]taylor: Taking taylor expansion of (/ (tan (* (/ 1 (- l)) PI)) (/ 1 (- F))) 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]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 (/ (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 1 F)) into (/ (* F (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI 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]backup-simplify: Simplify (/ (/ (* F (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l)))) (/ 1 F)) into (/ (* (pow F 2) (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l)))) * [misc]taylor: Taking taylor expansion of (/ (* (pow F 2) (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l)))) in F * [misc]taylor: Taking taylor expansion of (* (pow F 2) (sin (* -1 (/ PI l)))) in F * [misc]taylor: Taking taylor expansion of (pow F 2) in F * [misc]taylor: Taking taylor expansion of (sin (* -1 (/ PI l))) in F * [misc]taylor: Taking taylor expansion of (* -1 (/ PI l)) in F * [misc]taylor: Taking taylor expansion of -1 in F * [misc]backup-simplify: Simplify -1 into -1 * [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 (* -1 (/ PI l)) into (* -1 (/ PI l)) * [misc]backup-simplify: Simplify (sin (* -1 (/ PI l))) into (sin (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (cos (* -1 (/ PI l))) into (cos (* -1 (/ PI l))) * [misc]taylor: Taking taylor expansion of (cos (* -1 (/ PI l))) in F * [misc]taylor: Taking taylor expansion of (* -1 (/ PI l)) in F * [misc]taylor: Taking taylor expansion of -1 in F * [misc]backup-simplify: Simplify -1 into -1 * [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 (* -1 (/ PI l)) into (* -1 (/ PI l)) * [misc]backup-simplify: Simplify (cos (* -1 (/ PI l))) into (cos (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (sin (* -1 (/ PI l))) into (sin (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (sin (* -1 (/ PI l))) into (sin (* -1 (/ PI l))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sin (* -1 (/ PI l))) into (sin (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (sin (* -1 (/ PI l))) into (sin (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (cos (* -1 (/ PI l))) into (cos (* -1 (/ PI l))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (* -1 (/ PI 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 F into F * [misc]backup-simplify: Simplify (* (/ 1 F) (/ 0 F)) into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (/ 1 F)) (* (/ (* F (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l)))) (/ 0 (/ 1 F)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify (* (/ 1 F) (/ 0 F)) into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (/ 1 F)) (* (/ (* (pow F 2) (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l)))) (/ 0 (/ 1 F)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 l) (* (/ PI 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 (+ (/ 0 l) (* (/ PI 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 (* -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 F into F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify (* (/ 1 F) (/ 0 F)) into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (/ 1 F)) (* (/ (* F (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l)))) (/ 0 (/ 1 F)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify (* (/ 1 F) (/ 0 F)) into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (/ 1 F)) (* (/ (* (pow F 2) (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l)))) (/ 0 (/ 1 F)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 l) (* (/ PI 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 (+ (/ 0 l) (* (/ PI 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 (* -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 F into F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify (* (/ 1 F) (/ 0 F)) into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (/ 1 F)) (* (/ (* F (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l)))) (/ 0 (/ 1 F)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify (* (/ 1 F) (/ 0 F)) into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (/ 1 F)) (* (/ (* (pow F 2) (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l)))) (/ 0 (/ 1 F)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ (sin (* -1 (/ PI (/ 1 (- l))))) (cos (* -1 (/ PI (/ 1 (- l)))))) (pow (/ 1 (- F)) 2)) into (/ (sin (* PI l)) (* (pow F 2) (cos (* PI l)))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (/ (tan (* l PI)) F) in (l F) around 0 * [misc]taylor: Taking taylor expansion of (/ (tan (* l PI)) F) in F * [misc]taylor: Taking taylor expansion of (tan (* l PI)) in F * [misc]taylor: Rewrote expression to (/ (sin (* l PI)) (cos (* l PI))) * [misc]taylor: Taking taylor expansion of (sin (* l PI)) in F * [misc]taylor: Taking taylor expansion of (* l PI) in F * [misc]taylor: Taking taylor expansion of l in F * [misc]backup-simplify: Simplify l into l * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* l PI) 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 (* l PI)) in F * [misc]taylor: Taking taylor expansion of (* l PI) in F * [misc]taylor: Taking taylor expansion of l in F * [misc]backup-simplify: Simplify l into l * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* l PI) 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 F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (sin (* PI l)) (cos (* PI l))) into (/ (sin (* PI l)) (cos (* PI l))) * [misc]taylor: Taking taylor expansion of (/ (tan (* l PI)) F) 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]taylor: Taking taylor expansion of F in l * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify (/ PI F) into (/ PI F) * [misc]taylor: Taking taylor expansion of (/ (tan (* l PI)) F) 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]taylor: Taking taylor expansion of F in l * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify (/ PI F) into (/ PI F) * [misc]taylor: Taking taylor expansion of (/ PI F) in F * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [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 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 F) (* (/ PI F) (/ 0 F))) into 0 * [misc]taylor: Taking taylor expansion of 0 in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]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))) F) (* (/ PI F) (/ 0 F))) into (- (* 2/3 (/ (pow PI 3) F))) * [misc]taylor: Taking taylor expansion of (- (* 2/3 (/ (pow PI 3) F))) in F * [misc]taylor: Taking taylor expansion of (* 2/3 (/ (pow PI 3) F)) in F * [misc]taylor: Taking taylor expansion of 2/3 in F * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]taylor: Taking taylor expansion of (/ (pow PI 3) F) in F * [misc]taylor: Taking taylor expansion of (pow PI 3) in F * [misc]taylor: Taking taylor expansion of (exp (* 3 (log PI))) in F * [misc]taylor: Taking taylor expansion of (* 3 (log PI)) in F * [misc]taylor: Taking taylor expansion of 3 in F * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log PI) in F * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 3 (log PI)) into (* 3 (log PI)) * [misc]backup-simplify: Simplify (exp (* 3 (log PI))) into (pow PI 3) * [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 (pow PI 3) into (pow PI 3) * [misc]backup-simplify: Simplify (* 2/3 (pow PI 3)) 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 (* 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 F) (+ (* (/ PI F) (/ 0 F)) (* (- (* 2/3 (/ (pow PI 3) F))) (/ 0 F)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 0 PI) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]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)) F) (+ (* (/ PI F) (/ 0 F)) (* (- (* 2/3 (/ (pow PI 3) F))) (/ 0 F)))) into (* 23/60 (/ (pow PI 5) F)) * [misc]taylor: Taking taylor expansion of (* 23/60 (/ (pow PI 5) F)) in F * [misc]taylor: Taking taylor expansion of 23/60 in F * [misc]backup-simplify: Simplify 23/60 into 23/60 * [misc]taylor: Taking taylor expansion of (/ (pow PI 5) F) in F * [misc]taylor: Taking taylor expansion of (pow PI 5) in F * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in F * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in F * [misc]taylor: Taking taylor expansion of 5 in F * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in F * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [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 (pow PI 5) into (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)) into (* 23/60 (pow PI 5)) * [misc]backup-simplify: Simplify (+ (* (* 23/60 (pow PI 5)) (* (/ 1 F) (pow l 5))) (+ (* (* 2/3 (pow PI 3)) (* (/ 1 F) (pow l 3))) (* PI (* (/ 1 F) l)))) into (+ (/ (* PI l) F) (+ (* 23/60 (/ (* (pow PI 5) (pow l 5)) F)) (* 2/3 (/ (* (pow PI 3) (pow l 3)) F)))) * [misc]approximate: Taking taylor expansion of (/ (tan (* (/ 1 l) PI)) (/ 1 F)) in (l F) around 0 * [misc]taylor: Taking taylor expansion of (/ (tan (* (/ 1 l) PI)) (/ 1 F)) in F * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 l) PI)) in F * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 l) PI)) (cos (* (/ 1 l) PI))) * [misc]taylor: Taking taylor expansion of (sin (* (/ 1 l) PI)) in F * [misc]taylor: Taking taylor expansion of (* (/ 1 l) PI) in F * [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]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* (/ 1 l) PI) 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 (* (/ 1 l) PI)) in F * [misc]taylor: Taking taylor expansion of (* (/ 1 l) PI) in F * [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]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* (/ 1 l) PI) 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) 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 (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]taylor: Taking taylor expansion of (/ (tan (* (/ 1 l) PI)) (/ 1 F)) 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]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 (/ (/ (sin (/ PI l)) (cos (/ PI l))) (/ 1 F)) into (/ (* F (sin (/ PI l))) (cos (/ PI l))) * [misc]taylor: Taking taylor expansion of (/ (tan (* (/ 1 l) PI)) (/ 1 F)) 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]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 (/ (/ (sin (/ PI l)) (cos (/ PI l))) (/ 1 F)) into (/ (* F (sin (/ PI l))) (cos (/ PI l))) * [misc]taylor: Taking taylor expansion of (/ (* F (sin (/ PI l))) (cos (/ PI l))) in F * [misc]taylor: Taking taylor expansion of (* F (sin (/ PI l))) 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 (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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 l) (* (/ PI 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 (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]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 F) (/ 0 F)) into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (/ 1 F)) (* (/ (* F (sin (/ PI l))) (cos (/ PI l))) (/ 0 (/ 1 F)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 l) (* (/ PI 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 l) (* (/ PI 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 (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 (* (/ 1 F) (/ 0 F)) into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (/ 1 F)) (* (/ (* F (sin (/ PI l))) (cos (/ PI l))) (/ 0 (/ 1 F)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 l) (* (/ PI 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 l) (* (/ PI 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 (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 (* (/ 1 F) (/ 0 F)) into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (/ 1 F)) (* (/ (* F (sin (/ PI l))) (cos (/ PI l))) (/ 0 (/ 1 F)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in F * [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)))) (/ 1 F)) into (/ (sin (* PI l)) (* F (cos (* PI l)))) * [misc]approximate: Taking taylor expansion of (/ (tan (* (/ 1 (- l)) PI)) (/ 1 (- F))) in (l F) around 0 * [misc]taylor: Taking taylor expansion of (/ (tan (* (/ 1 (- l)) PI)) (/ 1 (- F))) in F * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 (- l)) PI)) in F * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 (- l)) PI)) (cos (* (/ 1 (- l)) PI))) * [misc]taylor: Taking taylor expansion of (sin (* (/ 1 (- l)) PI)) in F * [misc]taylor: Taking taylor expansion of (* (/ 1 (- l)) PI) in F * [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]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* (/ 1 l) PI) 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 (* (/ 1 (- l)) PI)) in F * [misc]taylor: Taking taylor expansion of (* (/ 1 (- l)) PI) in F * [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]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* (/ 1 l) PI) 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)) 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 (/ (/ (sin (/ PI l)) (cos (/ PI l))) -1) into (* -1 (/ (sin (/ PI l)) (cos (/ PI l)))) * [misc]taylor: Taking taylor expansion of (/ (tan (* (/ 1 (- l)) PI)) (/ 1 (- F))) 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]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 (/ (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 1 F)) into (/ (* F (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l)))) * [misc]taylor: Taking taylor expansion of (/ (tan (* (/ 1 (- l)) PI)) (/ 1 (- F))) 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]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 (/ (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 1 F)) into (/ (* F (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l)))) * [misc]taylor: Taking taylor expansion of (/ (* F (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l)))) in F * [misc]taylor: Taking taylor expansion of (* F (sin (* -1 (/ PI l)))) 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 (sin (* -1 (/ PI l))) in F * [misc]taylor: Taking taylor expansion of (* -1 (/ PI l)) in F * [misc]taylor: Taking taylor expansion of -1 in F * [misc]backup-simplify: Simplify -1 into -1 * [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 (* -1 (/ PI l)) into (* -1 (/ PI l)) * [misc]backup-simplify: Simplify (sin (* -1 (/ PI l))) into (sin (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (cos (* -1 (/ PI l))) into (cos (* -1 (/ PI l))) * [misc]taylor: Taking taylor expansion of (cos (* -1 (/ PI l))) in F * [misc]taylor: Taking taylor expansion of (* -1 (/ PI l)) in F * [misc]taylor: Taking taylor expansion of -1 in F * [misc]backup-simplify: Simplify -1 into -1 * [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 (* -1 (/ PI l)) into (* -1 (/ PI l)) * [misc]backup-simplify: Simplify (cos (* -1 (/ PI l))) into (cos (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (sin (* -1 (/ PI l))) into (sin (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (sin (* -1 (/ PI l))) into (sin (* -1 (/ PI l))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sin (* -1 (/ PI l))) into (sin (* -1 (/ 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 (+ (/ 0 l) (* (/ PI 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 (sin (* -1 (/ PI l))) into (sin (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (cos (* -1 (/ PI l))) into (cos (* -1 (/ PI l))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (* -1 (/ PI 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 F into F * [misc]backup-simplify: Simplify (* (/ 1 F) (/ 0 F)) into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (/ 1 F)) (* (/ (* F (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l)))) (/ 0 (/ 1 F)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 l) (* (/ PI 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 (+ (/ 0 l) (* (/ PI 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 (* -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 F into F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify (* (/ 1 F) (/ 0 F)) into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (/ 1 F)) (* (/ (* F (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l)))) (/ 0 (/ 1 F)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 l) (* (/ PI 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 (+ (/ 0 l) (* (/ PI 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 (* -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 F into F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify (* (/ 1 F) (/ 0 F)) into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (/ 1 F)) (* (/ (* F (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l)))) (/ 0 (/ 1 F)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ (sin (* -1 (/ PI (/ 1 (- l))))) (cos (* -1 (/ PI (/ 1 (- l)))))) (/ 1 (- F))) into (* -1 (/ (sin (* PI l)) (* F (cos (* PI l))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1 1 1) * [misc]approximate: Taking taylor expansion of (* l PI) in (l) around 0 * [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]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 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 (* (/ 1 l) PI) in (l) around 0 * [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]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 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 (* (/ 1 (- l)) PI) in (l) around 0 * [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]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 (* -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 / 57 ] 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: [ 2 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 57 ] 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: [ 4 / 57 ] 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: [ 5 / 57 ] 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: [ 6 / 57 ] 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: [ 7 / 57 ] 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: [ 8 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (/ (tan (* l PI)) F) F)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (log (/ (tan (* PI l)) (* F F))) * [exit]simplify: Simplified to (log (/ (tan (* PI l)) (* F F))) * * * * [misc]progress: [ 11 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (/ (tan (* l PI)) F) F)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (exp (/ (tan (* PI l)) (* F F))) * [exit]simplify: Simplified to (exp (/ (tan (* PI l)) (* F F))) * * * * [misc]progress: [ 12 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (/ (tan (* l PI)) F) F)) (cbrt (/ (/ (tan (* l PI)) F) F))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (tan (* PI l)) (* F F))) (cbrt (/ (tan (* PI l)) (* F F)))) * [exit]simplify: Simplified to (* (cbrt (/ (tan (* PI l)) (* F F))) (cbrt (/ (tan (* PI l)) (* F F)))) * [enter]simplify: Simplifying (cbrt (/ (/ (tan (* l PI)) F) F)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (cbrt (/ (tan (* PI l)) (* F F))) * [exit]simplify: Simplified to (cbrt (/ (tan (* PI l)) (* F F))) * * * * [misc]progress: [ 13 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (/ (tan (* l PI)) F) F) (/ (/ (tan (* l PI)) F) F)) (/ (/ (tan (* l PI)) F) F)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (285 enodes) * * [misc]simplify: iters left: 1 (484 enodes) * [exit]simplify: Simplified to (pow (/ (tan (* PI l)) (* F F)) 3) * [exit]simplify: Simplified to (pow (/ (tan (* PI l)) (* F F)) 3) * * * * [misc]progress: [ 14 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (tan (* l PI)) F) F)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (/ (tan (* PI l)) (* F F))) * [exit]simplify: Simplified to (sqrt (/ (tan (* PI l)) (* F F))) * [enter]simplify: Simplifying (sqrt (/ (/ (tan (* l PI)) F) F)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (/ (tan (* PI l)) (* F F))) * [exit]simplify: Simplified to (sqrt (/ (tan (* PI l)) (* F F))) * * * * [misc]progress: [ 15 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (tan (* l PI)) F)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (- (/ (tan (* PI l)) F)) * [exit]simplify: Simplified to (- (/ (tan (* PI l)) F)) * [enter]simplify: Simplifying (- F) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- F) * [exit]simplify: Simplified to (- F) * * * * [misc]progress: [ 16 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 57 ] 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: [ 18 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (/ F (/ (tan (* l PI)) F)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (* F F) (tan (* PI l))) * [exit]simplify: Simplified to (/ (* F F) (tan (* PI l))) * * * * [misc]progress: [ 19 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (/ F (cbrt (/ (tan (* l PI)) F))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ F (cbrt (/ (tan (* PI l)) F))) * [exit]simplify: Simplified to (/ F (cbrt (/ (tan (* PI l)) F))) * * * * [misc]progress: [ 20 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (/ F (sqrt (/ (tan (* l PI)) F))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ F (sqrt (/ (tan (* PI l)) F))) * [exit]simplify: Simplified to (/ F (sqrt (/ (tan (* PI l)) F))) * * * * [misc]progress: [ 21 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (/ F (/ (tan (* l PI)) F)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (* F F) (tan (* PI l))) * [exit]simplify: Simplified to (/ (* F F) (tan (* PI l))) * * * * [misc]progress: [ 22 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (/ F (/ 1 F)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (* F F) * [exit]simplify: Simplified to (* F F) * * * * [misc]progress: [ 23 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (* F F) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (* F F) * [exit]simplify: Simplified to (* F F) * * * * [misc]progress: [ 24 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (tan (* l PI)) F)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (log (/ (tan (* PI l)) F)) * [exit]simplify: Simplified to (log (/ (tan (* PI l)) F)) * * * * [misc]progress: [ 26 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (tan (* l PI)) F)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (exp (/ (tan (* PI l)) F)) * [exit]simplify: Simplified to (exp (/ (tan (* PI l)) F)) * * * * [misc]progress: [ 27 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (tan (* l PI)) F)) (cbrt (/ (tan (* l PI)) F))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (tan (* PI l)) F)) (cbrt (/ (tan (* PI l)) F))) * [exit]simplify: Simplified to (* (cbrt (/ (tan (* PI l)) F)) (cbrt (/ (tan (* PI l)) F))) * [enter]simplify: Simplifying (cbrt (/ (tan (* l PI)) F)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (cbrt (/ (tan (* PI l)) F)) * [exit]simplify: Simplified to (cbrt (/ (tan (* PI l)) F)) * * * * [misc]progress: [ 28 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (tan (* l PI)) F) (/ (tan (* l PI)) F)) (/ (tan (* l PI)) F)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (129 enodes) * [exit]simplify: Simplified to (pow (/ (tan (* PI l)) F) 3) * [exit]simplify: Simplified to (pow (/ (tan (* PI l)) F) 3) * * * * [misc]progress: [ 29 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (tan (* l PI)) F)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (/ (tan (* PI l)) F)) * [exit]simplify: Simplified to (sqrt (/ (tan (* PI l)) F)) * [enter]simplify: Simplifying (sqrt (/ (tan (* l PI)) F)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (/ (tan (* PI l)) F)) * [exit]simplify: Simplified to (sqrt (/ (tan (* PI l)) F)) * * * * [misc]progress: [ 30 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (tan (* l PI))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (- (tan (* PI l))) * [exit]simplify: Simplified to (- (tan (* PI l))) * [enter]simplify: Simplifying (- F) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- F) * [exit]simplify: Simplified to (- F) * * * * [misc]progress: [ 31 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 57 ] 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: [ 33 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (/ F (tan (* l PI))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ F (tan (* PI l))) * [exit]simplify: Simplified to (/ F (tan (* PI l))) * * * * [misc]progress: [ 34 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (/ F (cbrt (tan (* l PI)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ F (cbrt (tan (* PI l)))) * [exit]simplify: Simplified to (/ F (cbrt (tan (* PI l)))) * * * * [misc]progress: [ 35 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (/ F (sqrt (tan (* l PI)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ F (sqrt (tan (* PI l)))) * [exit]simplify: Simplified to (/ F (sqrt (tan (* PI l)))) * * * * [misc]progress: [ 36 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (/ F (tan (* l PI))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ F (tan (* PI l))) * [exit]simplify: Simplified to (/ F (tan (* PI l))) * * * * [misc]progress: [ 37 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (* F (cos (* l PI))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (* F (cos (* PI l))) * [exit]simplify: Simplified to (* F (cos (* PI l))) * * * * [misc]progress: [ 38 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* l PI)) * * [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 (* PI l)) * [exit]simplify: Simplified to (log (* PI l)) * * * * [misc]progress: [ 40 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* l PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (exp (* PI l)) * [exit]simplify: Simplified to (exp (* PI l)) * * * * [misc]progress: [ 41 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* l PI)) (cbrt (* l PI))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (* PI l)) (cbrt (* PI l))) * [exit]simplify: Simplified to (* (cbrt (* PI l)) (cbrt (* PI l))) * [enter]simplify: Simplifying (cbrt (* l PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (* PI l)) * [exit]simplify: Simplified to (cbrt (* PI l)) * * * * [misc]progress: [ 42 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* l PI) (* l PI)) (* l PI)) * * [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 (* PI l) 3) * [exit]simplify: Simplified to (pow (* PI l) 3) * * * * [misc]progress: [ 43 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* l PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (* PI l)) * [exit]simplify: Simplified to (sqrt (* PI l)) * [enter]simplify: Simplifying (sqrt (* l PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (* PI l)) * [exit]simplify: Simplified to (sqrt (* PI l)) * * * * [misc]progress: [ 44 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (/ (/ (- (+ (* 23/60 (* (pow PI 5) (pow l 5))) (* PI l)) (* 2/3 (* (pow PI 3) (pow l 3)))) F) F)) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (423 enodes) * [exit]simplify: Simplified to (- (* PI l) (/ (+ (* 23/60 (* (pow l 5) (pow PI 5))) (+ (* PI l) (* (* (* PI PI) (* PI l)) (* (* l l) (- 2/3))))) (* F F))) * * * * [misc]progress: [ 47 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (/ (/ (/ (sin (* PI l)) (cos (* PI l))) F) F)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (- (* PI l) (/ (/ (sin (* PI l)) F) (* (cos (* PI l)) F))) * * * * [misc]progress: [ 48 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (/ (/ (/ (sin (* PI l)) (cos (* PI l))) F) F)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (- (* PI l) (/ (/ (sin (* PI l)) F) (* (cos (* PI l)) F))) * * * * [misc]progress: [ 49 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (+ (* 23/60 (/ (* (pow PI 5) (pow l 5)) (pow F 2))) (+ (* 2/3 (/ (* (pow PI 3) (pow l 3)) (pow F 2))) (/ (* PI l) (pow F 2))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (157 enodes) * [exit]simplify: Simplified to (- (- (- (* PI l) (/ (* PI l) (* F F))) (* (/ (pow PI 3) (* F F)) (* (* 2/3 l) (* l l)))) (/ (* 23/60 (pow PI 5)) (/ (* F F) (pow l 5)))) * * * * [misc]progress: [ 50 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (/ (sin (* PI l)) (* (pow F 2) (cos (* PI l))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (- (* PI l) (/ (sin (* PI l)) (* (cos (* PI l)) (* F F)))) * * * * [misc]progress: [ 51 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (/ (sin (* PI l)) (* (pow F 2) (cos (* PI l))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (- (* PI l) (/ (sin (* PI l)) (* (cos (* PI l)) (* F F)))) * * * * [misc]progress: [ 52 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (/ (+ (/ (* PI l) F) (+ (* 23/60 (/ (* (pow PI 5) (pow l 5)) F)) (* 2/3 (/ (* (pow PI 3) (pow l 3)) F)))) F)) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (278 enodes) * [exit]simplify: Simplified to (- (* PI l) (/ (+ (+ (* (* (/ 2/3 F) (* PI PI)) (* (* l l) (* PI l))) (* (/ 23/60 F) (* (pow PI 5) (pow l 5)))) (/ PI (/ F l))) F)) * * * * [misc]progress: [ 53 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (/ (/ (sin (* PI l)) (* F (cos (* PI l)))) F)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (- (* PI l) (/ (sin (* PI l)) (* (cos (* PI l)) (* F F)))) * * * * [misc]progress: [ 54 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (/ (* -1 (/ (sin (* PI l)) (* F (cos (* PI l))))) F)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (466 enodes) * [exit]simplify: Simplified to (+ (/ (/ (sin (* PI l)) (cos (* PI l))) (* F F)) (* PI l)) * * * * [misc]progress: [ 55 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (/ (/ (tan (* PI l)) F) F)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (- (* PI l) (/ (tan (* PI l)) (* F F))) * * * * [misc]progress: [ 56 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (/ (/ (tan (* PI l)) F) F)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (- (* PI l) (/ (tan (* PI l)) (* F F))) * * * * [misc]progress: [ 57 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (/ (/ (tan (* PI l)) F) F)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (- (* PI l) (/ (tan (* PI l)) (* F F))) * * * [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 2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 2 2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2 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: [ 2 / 4 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (/ F (/ (tan (* l PI)) F)) in (F l) around 0 * [misc]taylor: Taking taylor expansion of (/ F (/ (tan (* l PI)) 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 (/ (tan (* l PI)) F) 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]taylor: Taking taylor expansion of F in l * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify (/ PI F) into (/ PI F) * [misc]backup-simplify: Simplify (/ F (/ PI F)) into (/ (pow F 2) PI) * [misc]taylor: Taking taylor expansion of (/ F (/ (tan (* l PI)) 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 (/ (tan (* l PI)) F) in F * [misc]taylor: Taking taylor expansion of (tan (* l PI)) in F * [misc]taylor: Rewrote expression to (/ (sin (* l PI)) (cos (* l PI))) * [misc]taylor: Taking taylor expansion of (sin (* l PI)) in F * [misc]taylor: Taking taylor expansion of (* l PI) in F * [misc]taylor: Taking taylor expansion of l in F * [misc]backup-simplify: Simplify l into l * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* l PI) 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 (* l PI)) in F * [misc]taylor: Taking taylor expansion of (* l PI) in F * [misc]taylor: Taking taylor expansion of l in F * [misc]backup-simplify: Simplify l into l * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* l PI) 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 F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (sin (* PI l)) (cos (* PI l))) into (/ (sin (* PI l)) (cos (* PI l))) * [misc]backup-simplify: Simplify (/ 1 (/ (sin (* PI l)) (cos (* PI l)))) into (/ (cos (* PI l)) (sin (* PI l))) * [misc]taylor: Taking taylor expansion of (/ F (/ (tan (* l PI)) 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 (/ (tan (* l PI)) F) in F * [misc]taylor: Taking taylor expansion of (tan (* l PI)) in F * [misc]taylor: Rewrote expression to (/ (sin (* l PI)) (cos (* l PI))) * [misc]taylor: Taking taylor expansion of (sin (* l PI)) in F * [misc]taylor: Taking taylor expansion of (* l PI) in F * [misc]taylor: Taking taylor expansion of l in F * [misc]backup-simplify: Simplify l into l * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* l PI) 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 (* l PI)) in F * [misc]taylor: Taking taylor expansion of (* l PI) in F * [misc]taylor: Taking taylor expansion of l in F * [misc]backup-simplify: Simplify l into l * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* l PI) 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 F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (sin (* PI l)) (cos (* PI l))) into (/ (sin (* PI l)) (cos (* PI l))) * [misc]backup-simplify: Simplify (/ 1 (/ (sin (* PI l)) (cos (* PI l)))) into (/ (cos (* PI l)) (sin (* PI l))) * [misc]taylor: Taking taylor expansion of (/ (cos (* PI l)) (sin (* PI l))) in 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 0 into 0 * [misc]backup-simplify: Simplify PI into PI * [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]backup-simplify: Simplify PI into PI * [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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (/ (sin (* PI l)) (cos (* PI l)))) (* (/ (cos (* PI l)) (sin (* PI l))) (/ 0 (/ (sin (* PI l)) (cos (* PI l)))))) 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 PI) (* (/ 1 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (/ (sin (* PI l)) (cos (* PI l)))) (* (/ (cos (* PI l)) (sin (* PI l))) (/ 0 (/ (sin (* PI l)) (cos (* PI l)))))) 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 (* -1 (/ (pow PI 2) 2)) into (* -1/2 (pow PI 2)) * [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 (+ (/ (* -1/2 (pow PI 2)) PI) (* (/ 1 PI) (/ (* -1/6 (pow PI 3)) PI))) into (- (* 2/3 PI)) * [misc]backup-simplify: Simplify (- (* 2/3 PI)) into (- (* 2/3 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 (/ (sin (* PI l)) (cos (* PI l)))) (* (/ (cos (* PI l)) (sin (* PI l))) (/ 0 (/ (sin (* PI l)) (cos (* PI l)))))) 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 PI) (+ (* (/ 1 PI) (/ 0 PI)) (* (- (* 2/3 PI)) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (/ (sin (* PI l)) (cos (* PI l)))) (* (/ (cos (* PI l)) (sin (* PI l))) (/ 0 (/ (sin (* PI l)) (cos (* PI l)))))) 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 (+ (* (- (* 2/3 PI)) (* l (pow F 2))) (* (/ 1 PI) (* (/ 1 l) (pow F 2)))) into (- (/ (pow F 2) (* PI l)) (* 2/3 (* (pow F 2) (* PI l)))) * [misc]approximate: Taking taylor expansion of (/ (/ 1 F) (/ (tan (* (/ 1 l) PI)) (/ 1 F))) in (F l) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 F) (/ (tan (* (/ 1 l) PI)) (/ 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 (/ (tan (* (/ 1 l) PI)) (/ 1 F)) 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]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 (/ (/ (sin (/ PI l)) (cos (/ PI l))) (/ 1 F)) into (/ (* F (sin (/ PI l))) (cos (/ PI l))) * [misc]backup-simplify: Simplify (/ (/ 1 F) (/ (* F (sin (/ PI l))) (cos (/ PI l)))) into (/ (cos (/ PI l)) (* (pow F 2) (sin (/ PI l)))) * [misc]taylor: Taking taylor expansion of (/ (/ 1 F) (/ (tan (* (/ 1 l) PI)) (/ 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 (/ (tan (* (/ 1 l) PI)) (/ 1 F)) in F * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 l) PI)) in F * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 l) PI)) (cos (* (/ 1 l) PI))) * [misc]taylor: Taking taylor expansion of (sin (* (/ 1 l) PI)) in F * [misc]taylor: Taking taylor expansion of (* (/ 1 l) PI) in F * [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]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* (/ 1 l) PI) 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 (* (/ 1 l) PI)) in F * [misc]taylor: Taking taylor expansion of (* (/ 1 l) PI) in F * [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]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* (/ 1 l) PI) 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) 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 (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]backup-simplify: Simplify (/ 1 (/ (sin (/ PI l)) (cos (/ PI l)))) into (/ (cos (/ PI l)) (sin (/ PI l))) * [misc]taylor: Taking taylor expansion of (/ (/ 1 F) (/ (tan (* (/ 1 l) PI)) (/ 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 (/ (tan (* (/ 1 l) PI)) (/ 1 F)) in F * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 l) PI)) in F * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 l) PI)) (cos (* (/ 1 l) PI))) * [misc]taylor: Taking taylor expansion of (sin (* (/ 1 l) PI)) in F * [misc]taylor: Taking taylor expansion of (* (/ 1 l) PI) in F * [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]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* (/ 1 l) PI) 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 (* (/ 1 l) PI)) in F * [misc]taylor: Taking taylor expansion of (* (/ 1 l) PI) in F * [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]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* (/ 1 l) PI) 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) 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 (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]backup-simplify: Simplify (/ 1 (/ (sin (/ PI l)) (cos (/ PI l)))) into (/ (cos (/ PI l)) (sin (/ PI l))) * [misc]taylor: Taking taylor expansion of (/ (cos (/ PI l)) (sin (/ PI l))) in 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]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]backup-simplify: Simplify (/ (cos (/ PI l)) (sin (/ PI l))) into (/ (cos (/ PI l)) (sin (/ PI l))) * [misc]backup-simplify: Simplify (/ (cos (/ PI l)) (sin (/ PI l))) into (/ (cos (/ PI l)) (sin (/ 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 (* (/ 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 (/ (sin (/ PI l)) (cos (/ PI l)))) (* (/ (cos (/ PI l)) (sin (/ PI l))) (/ 0 (/ (sin (/ PI l)) (cos (/ PI l)))))) 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 (sin (/ PI l))) (* (/ (cos (/ PI l)) (sin (/ PI l))) (/ 0 (sin (/ 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 (* (/ 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 (/ (sin (/ PI l)) (cos (/ PI l)))) (* (/ (cos (/ PI l)) (sin (/ PI l))) (/ 0 (/ (sin (/ PI l)) (cos (/ PI l)))))) 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 (sin (/ PI l))) (* (/ (cos (/ PI l)) (sin (/ PI l))) (/ 0 (sin (/ 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 (* (/ 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 (/ (sin (/ PI l)) (cos (/ PI l)))) (* (/ (cos (/ PI l)) (sin (/ PI l))) (/ 0 (/ (sin (/ PI l)) (cos (/ PI l)))))) 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 (* (/ (cos (/ PI (/ 1 l))) (sin (/ PI (/ 1 l)))) (pow (/ 1 (/ 1 F)) 2)) into (/ (* (pow F 2) (cos (* PI l))) (sin (* PI l))) * [misc]approximate: Taking taylor expansion of (/ (/ 1 (- F)) (/ (tan (* (/ 1 (- l)) PI)) (/ 1 (- F)))) in (F l) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- F)) (/ (tan (* (/ 1 (- l)) PI)) (/ 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 (/ (tan (* (/ 1 (- l)) PI)) (/ 1 (- F))) 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]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 (/ (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 1 F)) into (/ (* F (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l)))) * [misc]backup-simplify: Simplify (/ (/ 1 F) (/ (* F (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l))))) into (/ (cos (* -1 (/ PI l))) (* (pow F 2) (sin (* -1 (/ PI l))))) * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- F)) (/ (tan (* (/ 1 (- l)) PI)) (/ 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 (/ (tan (* (/ 1 (- l)) PI)) (/ 1 (- F))) in F * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 (- l)) PI)) in F * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 (- l)) PI)) (cos (* (/ 1 (- l)) PI))) * [misc]taylor: Taking taylor expansion of (sin (* (/ 1 (- l)) PI)) in F * [misc]taylor: Taking taylor expansion of (* (/ 1 (- l)) PI) in F * [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]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* (/ 1 l) PI) 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 (* (/ 1 (- l)) PI)) in F * [misc]taylor: Taking taylor expansion of (* (/ 1 (- l)) PI) in F * [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]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* (/ 1 l) PI) 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)) 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 (/ (/ (sin (/ PI l)) (cos (/ PI l))) -1) into (* -1 (/ (sin (/ PI l)) (cos (/ PI l)))) * [misc]backup-simplify: Simplify (/ -1 (* -1 (/ (sin (/ PI l)) (cos (/ PI l))))) into (/ (cos (/ PI l)) (sin (/ PI l))) * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- F)) (/ (tan (* (/ 1 (- l)) PI)) (/ 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 (/ (tan (* (/ 1 (- l)) PI)) (/ 1 (- F))) in F * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 (- l)) PI)) in F * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 (- l)) PI)) (cos (* (/ 1 (- l)) PI))) * [misc]taylor: Taking taylor expansion of (sin (* (/ 1 (- l)) PI)) in F * [misc]taylor: Taking taylor expansion of (* (/ 1 (- l)) PI) in F * [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]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* (/ 1 l) PI) 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 (* (/ 1 (- l)) PI)) in F * [misc]taylor: Taking taylor expansion of (* (/ 1 (- l)) PI) in F * [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]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* (/ 1 l) PI) 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)) 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 (/ (/ (sin (/ PI l)) (cos (/ PI l))) -1) into (* -1 (/ (sin (/ PI l)) (cos (/ PI l)))) * [misc]backup-simplify: Simplify (/ -1 (* -1 (/ (sin (/ PI l)) (cos (/ PI l))))) into (/ (cos (/ PI l)) (sin (/ PI l))) * [misc]taylor: Taking taylor expansion of (/ (cos (/ PI l)) (sin (/ PI l))) in 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]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]backup-simplify: Simplify (/ (cos (/ PI l)) (sin (/ PI l))) into (/ (cos (/ PI l)) (sin (/ PI l))) * [misc]backup-simplify: Simplify (/ (cos (/ PI l)) (sin (/ PI l))) into (/ (cos (/ PI l)) (sin (/ PI 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 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 (+ (/ 0 (* -1 (/ (sin (/ PI l)) (cos (/ PI l))))) (* (/ (cos (/ PI l)) (sin (/ PI l))) (/ 0 (* -1 (/ (sin (/ PI l)) (cos (/ PI l))))))) 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 (sin (/ PI l))) (* (/ (cos (/ PI l)) (sin (/ PI l))) (/ 0 (sin (/ PI l))))) 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 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 (+ (/ 0 (* -1 (/ (sin (/ PI l)) (cos (/ PI l))))) (* (/ (cos (/ PI l)) (sin (/ PI l))) (/ 0 (* -1 (/ (sin (/ PI l)) (cos (/ PI l))))))) 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 (sin (/ PI l))) (* (/ (cos (/ PI l)) (sin (/ PI l))) (/ 0 (sin (/ PI l))))) 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 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 (+ (/ 0 (* -1 (/ (sin (/ PI l)) (cos (/ PI l))))) (* (/ (cos (/ PI l)) (sin (/ PI l))) (/ 0 (* -1 (/ (sin (/ PI l)) (cos (/ PI l))))))) 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 (* (/ (cos (/ PI (/ 1 (- l)))) (sin (/ PI (/ 1 (- l))))) (pow (/ 1 (/ 1 (- F))) 2)) into (/ (* (cos (* -1 (* PI l))) (pow F 2)) (sin (* -1 (* PI l)))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 2 2) * [misc]approximate: Taking taylor expansion of (/ (tan (* l PI)) F) in (l F) around 0 * [misc]taylor: Taking taylor expansion of (/ (tan (* l PI)) F) in F * [misc]taylor: Taking taylor expansion of (tan (* l PI)) in F * [misc]taylor: Rewrote expression to (/ (sin (* l PI)) (cos (* l PI))) * [misc]taylor: Taking taylor expansion of (sin (* l PI)) in F * [misc]taylor: Taking taylor expansion of (* l PI) in F * [misc]taylor: Taking taylor expansion of l in F * [misc]backup-simplify: Simplify l into l * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* l PI) 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 (* l PI)) in F * [misc]taylor: Taking taylor expansion of (* l PI) in F * [misc]taylor: Taking taylor expansion of l in F * [misc]backup-simplify: Simplify l into l * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* l PI) 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 F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (sin (* PI l)) (cos (* PI l))) into (/ (sin (* PI l)) (cos (* PI l))) * [misc]taylor: Taking taylor expansion of (/ (tan (* l PI)) F) 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]taylor: Taking taylor expansion of F in l * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify (/ PI F) into (/ PI F) * [misc]taylor: Taking taylor expansion of (/ (tan (* l PI)) F) 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]taylor: Taking taylor expansion of F in l * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify (/ PI F) into (/ PI F) * [misc]taylor: Taking taylor expansion of (/ PI F) in F * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [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 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 F) (* (/ PI F) (/ 0 F))) into 0 * [misc]taylor: Taking taylor expansion of 0 in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]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))) F) (* (/ PI F) (/ 0 F))) into (- (* 2/3 (/ (pow PI 3) F))) * [misc]taylor: Taking taylor expansion of (- (* 2/3 (/ (pow PI 3) F))) in F * [misc]taylor: Taking taylor expansion of (* 2/3 (/ (pow PI 3) F)) in F * [misc]taylor: Taking taylor expansion of 2/3 in F * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]taylor: Taking taylor expansion of (/ (pow PI 3) F) in F * [misc]taylor: Taking taylor expansion of (pow PI 3) in F * [misc]taylor: Taking taylor expansion of (exp (* 3 (log PI))) in F * [misc]taylor: Taking taylor expansion of (* 3 (log PI)) in F * [misc]taylor: Taking taylor expansion of 3 in F * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log PI) in F * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 3 (log PI)) into (* 3 (log PI)) * [misc]backup-simplify: Simplify (exp (* 3 (log PI))) into (pow PI 3) * [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 (pow PI 3) into (pow PI 3) * [misc]backup-simplify: Simplify (* 2/3 (pow PI 3)) 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 (* 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 F) (+ (* (/ PI F) (/ 0 F)) (* (- (* 2/3 (/ (pow PI 3) F))) (/ 0 F)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 0 PI) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]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)) F) (+ (* (/ PI F) (/ 0 F)) (* (- (* 2/3 (/ (pow PI 3) F))) (/ 0 F)))) into (* 23/60 (/ (pow PI 5) F)) * [misc]taylor: Taking taylor expansion of (* 23/60 (/ (pow PI 5) F)) in F * [misc]taylor: Taking taylor expansion of 23/60 in F * [misc]backup-simplify: Simplify 23/60 into 23/60 * [misc]taylor: Taking taylor expansion of (/ (pow PI 5) F) in F * [misc]taylor: Taking taylor expansion of (pow PI 5) in F * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in F * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in F * [misc]taylor: Taking taylor expansion of 5 in F * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in F * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [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 (pow PI 5) into (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)) into (* 23/60 (pow PI 5)) * [misc]backup-simplify: Simplify (+ (* (* 23/60 (pow PI 5)) (* (/ 1 F) (pow l 5))) (+ (* (* 2/3 (pow PI 3)) (* (/ 1 F) (pow l 3))) (* PI (* (/ 1 F) l)))) into (+ (/ (* PI l) F) (+ (* 23/60 (/ (* (pow PI 5) (pow l 5)) F)) (* 2/3 (/ (* (pow PI 3) (pow l 3)) F)))) * [misc]approximate: Taking taylor expansion of (/ (tan (* (/ 1 l) PI)) (/ 1 F)) in (l F) around 0 * [misc]taylor: Taking taylor expansion of (/ (tan (* (/ 1 l) PI)) (/ 1 F)) in F * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 l) PI)) in F * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 l) PI)) (cos (* (/ 1 l) PI))) * [misc]taylor: Taking taylor expansion of (sin (* (/ 1 l) PI)) in F * [misc]taylor: Taking taylor expansion of (* (/ 1 l) PI) in F * [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]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* (/ 1 l) PI) 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 (* (/ 1 l) PI)) in F * [misc]taylor: Taking taylor expansion of (* (/ 1 l) PI) in F * [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]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* (/ 1 l) PI) 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) 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 (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]taylor: Taking taylor expansion of (/ (tan (* (/ 1 l) PI)) (/ 1 F)) 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]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 (/ (/ (sin (/ PI l)) (cos (/ PI l))) (/ 1 F)) into (/ (* F (sin (/ PI l))) (cos (/ PI l))) * [misc]taylor: Taking taylor expansion of (/ (tan (* (/ 1 l) PI)) (/ 1 F)) 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]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 (/ (/ (sin (/ PI l)) (cos (/ PI l))) (/ 1 F)) into (/ (* F (sin (/ PI l))) (cos (/ PI l))) * [misc]taylor: Taking taylor expansion of (/ (* F (sin (/ PI l))) (cos (/ PI l))) in F * [misc]taylor: Taking taylor expansion of (* F (sin (/ PI l))) 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 (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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 l) (* (/ PI 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 (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]backup-simplify: Simplify (+ (/ 0 (cos (/ PI l))) (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 F) (/ 0 F)) into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (/ 1 F)) (* (/ (* F (sin (/ PI l))) (cos (/ PI l))) (/ 0 (/ 1 F)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 l) (* (/ PI 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 l) (* (/ PI 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 (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 (* (/ 1 F) (/ 0 F)) into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (/ 1 F)) (* (/ (* F (sin (/ PI l))) (cos (/ PI l))) (/ 0 (/ 1 F)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 l) (* (/ PI 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 l) (* (/ PI 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 (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 (* (/ 1 F) (/ 0 F)) into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (/ 1 F)) (* (/ (* F (sin (/ PI l))) (cos (/ PI l))) (/ 0 (/ 1 F)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in F * [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)))) (/ 1 F)) into (/ (sin (* PI l)) (* F (cos (* PI l)))) * [misc]approximate: Taking taylor expansion of (/ (tan (* (/ 1 (- l)) PI)) (/ 1 (- F))) in (l F) around 0 * [misc]taylor: Taking taylor expansion of (/ (tan (* (/ 1 (- l)) PI)) (/ 1 (- F))) in F * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 (- l)) PI)) in F * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 (- l)) PI)) (cos (* (/ 1 (- l)) PI))) * [misc]taylor: Taking taylor expansion of (sin (* (/ 1 (- l)) PI)) in F * [misc]taylor: Taking taylor expansion of (* (/ 1 (- l)) PI) in F * [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]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* (/ 1 l) PI) 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 (* (/ 1 (- l)) PI)) in F * [misc]taylor: Taking taylor expansion of (* (/ 1 (- l)) PI) in F * [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]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* (/ 1 l) PI) 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)) 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 (/ (/ (sin (/ PI l)) (cos (/ PI l))) -1) into (* -1 (/ (sin (/ PI l)) (cos (/ PI l)))) * [misc]taylor: Taking taylor expansion of (/ (tan (* (/ 1 (- l)) PI)) (/ 1 (- F))) 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]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 (/ (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 1 F)) into (/ (* F (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l)))) * [misc]taylor: Taking taylor expansion of (/ (tan (* (/ 1 (- l)) PI)) (/ 1 (- F))) 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]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 (/ (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 1 F)) into (/ (* F (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l)))) * [misc]taylor: Taking taylor expansion of (/ (* F (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l)))) in F * [misc]taylor: Taking taylor expansion of (* F (sin (* -1 (/ PI l)))) 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 (sin (* -1 (/ PI l))) in F * [misc]taylor: Taking taylor expansion of (* -1 (/ PI l)) in F * [misc]taylor: Taking taylor expansion of -1 in F * [misc]backup-simplify: Simplify -1 into -1 * [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 (* -1 (/ PI l)) into (* -1 (/ PI l)) * [misc]backup-simplify: Simplify (sin (* -1 (/ PI l))) into (sin (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (cos (* -1 (/ PI l))) into (cos (* -1 (/ PI l))) * [misc]taylor: Taking taylor expansion of (cos (* -1 (/ PI l))) in F * [misc]taylor: Taking taylor expansion of (* -1 (/ PI l)) in F * [misc]taylor: Taking taylor expansion of -1 in F * [misc]backup-simplify: Simplify -1 into -1 * [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 (* -1 (/ PI l)) into (* -1 (/ PI l)) * [misc]backup-simplify: Simplify (cos (* -1 (/ PI l))) into (cos (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (sin (* -1 (/ PI l))) into (sin (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (sin (* -1 (/ PI l))) into (sin (* -1 (/ PI l))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sin (* -1 (/ PI l))) into (sin (* -1 (/ 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 (+ (/ 0 l) (* (/ PI 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 (sin (* -1 (/ PI l))) into (sin (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (cos (* -1 (/ PI l))) into (cos (* -1 (/ PI l))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (* -1 (/ PI 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 F into F * [misc]backup-simplify: Simplify (* (/ 1 F) (/ 0 F)) into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (/ 1 F)) (* (/ (* F (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l)))) (/ 0 (/ 1 F)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 l) (* (/ PI 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 (+ (/ 0 l) (* (/ PI 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 (* -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 F into F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify (* (/ 1 F) (/ 0 F)) into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (/ 1 F)) (* (/ (* F (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l)))) (/ 0 (/ 1 F)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 l) (* (/ PI 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 (+ (/ 0 l) (* (/ PI 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 (* -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 F into F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify (* (/ 1 F) (/ 0 F)) into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (/ 1 F)) (* (/ (* F (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l)))) (/ 0 (/ 1 F)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ (sin (* -1 (/ PI (/ 1 (- l))))) (cos (* -1 (/ PI (/ 1 (- l)))))) (/ 1 (- F))) into (* -1 (/ (sin (* PI l)) (* F (cos (* PI l))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 2 2 1 1) * [misc]approximate: Taking taylor expansion of (* l PI) in (l) around 0 * [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]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 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 (* (/ 1 l) PI) in (l) around 0 * [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]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 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 (* (/ 1 (- l)) PI) in (l) around 0 * [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]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 (* -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 / 57 ] 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: [ 2 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 57 ] 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: [ 4 / 57 ] 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: [ 5 / 57 ] 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: [ 6 / 57 ] 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: [ 7 / 57 ] 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: [ 8 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ F (/ (tan (* l PI)) F))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (log (/ (* F F) (tan (* PI l)))) * [exit]simplify: Simplified to (log (/ (* F F) (tan (* PI l)))) * * * * [misc]progress: [ 11 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ F (/ (tan (* l PI)) F))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (exp (/ (* F F) (tan (* PI l)))) * [exit]simplify: Simplified to (exp (/ (* F F) (tan (* PI l)))) * * * * [misc]progress: [ 12 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ F (/ (tan (* l PI)) F))) (cbrt (/ F (/ (tan (* l PI)) F)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (* F F) (tan (* PI l)))) (cbrt (/ (* F F) (tan (* PI l))))) * [exit]simplify: Simplified to (* (cbrt (/ (* F F) (tan (* PI l)))) (cbrt (/ (* F F) (tan (* PI l))))) * [enter]simplify: Simplifying (cbrt (/ F (/ (tan (* l PI)) F))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (cbrt (/ (* F F) (tan (* PI l)))) * [exit]simplify: Simplified to (cbrt (/ (* F F) (tan (* PI l)))) * * * * [misc]progress: [ 13 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ F (/ (tan (* l PI)) F)) (/ F (/ (tan (* l PI)) F))) (/ F (/ (tan (* l PI)) F))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (363 enodes) * [exit]simplify: Simplified to (pow (/ (* F F) (tan (* PI l))) 3) * [exit]simplify: Simplified to (pow (/ (* F F) (tan (* PI l))) 3) * * * * [misc]progress: [ 14 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ F (/ (tan (* l PI)) F))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (sqrt (/ (* F F) (tan (* PI l)))) * [exit]simplify: Simplified to (sqrt (/ (* F F) (tan (* PI l)))) * [enter]simplify: Simplifying (sqrt (/ F (/ (tan (* l PI)) F))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (sqrt (/ (* F F) (tan (* PI l)))) * [exit]simplify: Simplified to (sqrt (/ (* F F) (tan (* PI l)))) * * * * [misc]progress: [ 15 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- F) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- F) * [exit]simplify: Simplified to (- F) * [enter]simplify: Simplifying (- (/ (tan (* l PI)) F)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (- (/ (tan (* PI l)) F)) * [exit]simplify: Simplified to (- (/ (tan (* PI l)) F)) * * * * [misc]progress: [ 16 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (tan (* l PI)) F)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ F (tan (* PI l))) * [exit]simplify: Simplified to (/ F (tan (* PI l))) * * * * [misc]progress: [ 18 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (tan (* l PI)) F) F) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (tan (* PI l)) (* F F)) * [exit]simplify: Simplified to (/ (tan (* PI l)) (* F F)) * * * * [misc]progress: [ 19 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (/ F (* (cbrt (/ (tan (* l PI)) F)) (cbrt (/ (tan (* l PI)) F)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (/ F (cbrt (/ (tan (* PI l)) F))) (cbrt (/ (tan (* PI l)) F))) * [exit]simplify: Simplified to (/ (/ F (cbrt (/ (tan (* PI l)) F))) (cbrt (/ (tan (* PI l)) F))) * * * * [misc]progress: [ 20 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (/ F (sqrt (/ (tan (* l PI)) F))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ F (sqrt (/ (tan (* PI l)) F))) * [exit]simplify: Simplified to (/ F (sqrt (/ (tan (* PI l)) F))) * * * * [misc]progress: [ 21 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (/ F 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to F * [exit]simplify: Simplified to F * * * * [misc]progress: [ 22 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (/ F (tan (* l PI))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ F (tan (* PI l))) * [exit]simplify: Simplified to (/ F (tan (* PI l))) * * * * [misc]progress: [ 23 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (/ F (tan (* l PI))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ F (tan (* PI l))) * [exit]simplify: Simplified to (/ F (tan (* PI l))) * * * * [misc]progress: [ 24 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (tan (* l PI)) F)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (log (/ (tan (* PI l)) F)) * [exit]simplify: Simplified to (log (/ (tan (* PI l)) F)) * * * * [misc]progress: [ 26 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (tan (* l PI)) F)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (exp (/ (tan (* PI l)) F)) * [exit]simplify: Simplified to (exp (/ (tan (* PI l)) F)) * * * * [misc]progress: [ 27 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (tan (* l PI)) F)) (cbrt (/ (tan (* l PI)) F))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (tan (* PI l)) F)) (cbrt (/ (tan (* PI l)) F))) * [exit]simplify: Simplified to (* (cbrt (/ (tan (* PI l)) F)) (cbrt (/ (tan (* PI l)) F))) * [enter]simplify: Simplifying (cbrt (/ (tan (* l PI)) F)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (cbrt (/ (tan (* PI l)) F)) * [exit]simplify: Simplified to (cbrt (/ (tan (* PI l)) F)) * * * * [misc]progress: [ 28 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (tan (* l PI)) F) (/ (tan (* l PI)) F)) (/ (tan (* l PI)) F)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (129 enodes) * [exit]simplify: Simplified to (pow (/ (tan (* PI l)) F) 3) * [exit]simplify: Simplified to (pow (/ (tan (* PI l)) F) 3) * * * * [misc]progress: [ 29 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (tan (* l PI)) F)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (/ (tan (* PI l)) F)) * [exit]simplify: Simplified to (sqrt (/ (tan (* PI l)) F)) * [enter]simplify: Simplifying (sqrt (/ (tan (* l PI)) F)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (/ (tan (* PI l)) F)) * [exit]simplify: Simplified to (sqrt (/ (tan (* PI l)) F)) * * * * [misc]progress: [ 30 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (tan (* l PI))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (- (tan (* PI l))) * [exit]simplify: Simplified to (- (tan (* PI l))) * [enter]simplify: Simplifying (- F) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- F) * [exit]simplify: Simplified to (- F) * * * * [misc]progress: [ 31 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 57 ] 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: [ 33 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (/ F (tan (* l PI))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ F (tan (* PI l))) * [exit]simplify: Simplified to (/ F (tan (* PI l))) * * * * [misc]progress: [ 34 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (/ F (cbrt (tan (* l PI)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ F (cbrt (tan (* PI l)))) * [exit]simplify: Simplified to (/ F (cbrt (tan (* PI l)))) * * * * [misc]progress: [ 35 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (/ F (sqrt (tan (* l PI)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ F (sqrt (tan (* PI l)))) * [exit]simplify: Simplified to (/ F (sqrt (tan (* PI l)))) * * * * [misc]progress: [ 36 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (/ F (tan (* l PI))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ F (tan (* PI l))) * [exit]simplify: Simplified to (/ F (tan (* PI l))) * * * * [misc]progress: [ 37 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (* F (cos (* l PI))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (* F (cos (* PI l))) * [exit]simplify: Simplified to (* F (cos (* PI l))) * * * * [misc]progress: [ 38 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* l PI)) * * [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 (* PI l)) * [exit]simplify: Simplified to (log (* PI l)) * * * * [misc]progress: [ 40 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* l PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (exp (* PI l)) * [exit]simplify: Simplified to (exp (* PI l)) * * * * [misc]progress: [ 41 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* l PI)) (cbrt (* l PI))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (* PI l)) (cbrt (* PI l))) * [exit]simplify: Simplified to (* (cbrt (* PI l)) (cbrt (* PI l))) * [enter]simplify: Simplifying (cbrt (* l PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (* PI l)) * [exit]simplify: Simplified to (cbrt (* PI l)) * * * * [misc]progress: [ 42 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* l PI) (* l PI)) (* l PI)) * * [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 (* PI l) 3) * [exit]simplify: Simplified to (pow (* PI l) 3) * * * * [misc]progress: [ 43 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* l PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (* PI l)) * [exit]simplify: Simplified to (sqrt (* PI l)) * [enter]simplify: Simplifying (sqrt (* l PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (* PI l)) * [exit]simplify: Simplified to (sqrt (* PI l)) * * * * [misc]progress: [ 44 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (/ 1 (/ F (/ (- (+ (* 23/60 (* (pow PI 5) (pow l 5))) (* PI l)) (* 2/3 (* (pow PI 3) (pow l 3)))) F)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (138 enodes) * * [misc]simplify: iters left: 3 (452 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* PI l) (/ 1 F)) (* (* (/ 1 F) (pow PI 5)) (* (pow l 5) 23/60))) (- (/ 1 F))) (+ (/ (* (- 2/3) (- (/ 1 F))) (/ (/ F (* PI PI)) (* (* l l) (* PI l)))) (* PI l))) * * * * [misc]progress: [ 47 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (/ 1 (/ F (/ (/ (sin (* PI l)) (cos (* PI l))) F)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (365 enodes) * [exit]simplify: Simplified to (- (* PI l) (/ (/ (sin (* PI l)) F) (* (cos (* PI l)) F))) * * * * [misc]progress: [ 48 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (/ 1 (/ F (/ (/ (sin (* PI l)) (cos (* PI l))) F)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (365 enodes) * [exit]simplify: Simplified to (- (* PI l) (/ (/ (sin (* PI l)) F) (* (cos (* PI l)) F))) * * * * [misc]progress: [ 49 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (/ 1 (- (/ (pow F 2) (* PI l)) (* 2/3 (* (pow F 2) (* PI l)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (210 enodes) * * [misc]simplify: iters left: 2 (445 enodes) * [exit]simplify: Simplified to (- (* PI l) (/ (/ 1 F) (- (/ F (* PI l)) (* (* PI F) (* 2/3 l))))) * * * * [misc]progress: [ 50 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (/ 1 (/ (* (pow F 2) (cos (* PI l))) (sin (* PI l))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (372 enodes) * [exit]simplify: Simplified to (- (* PI l) (/ (/ (sin (* PI l)) (* F F)) (cos (* PI l)))) * * * * [misc]progress: [ 51 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (/ 1 (/ (* (cos (* -1 (* PI l))) (pow F 2)) (sin (* -1 (* PI l)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * * [misc]simplify: iters left: 2 (289 enodes) * [exit]simplify: Simplified to (+ (/ (/ (sin (* PI l)) (* F F)) (cos (* PI l))) (* PI l)) * * * * [misc]progress: [ 52 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (/ 1 (/ F (+ (/ (* PI l) F) (+ (* 23/60 (/ (* (pow PI 5) (pow l 5)) F)) (* 2/3 (/ (* (pow PI 3) (pow l 3)) F))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (133 enodes) * * [misc]simplify: iters left: 3 (457 enodes) * [exit]simplify: Simplified to (- (- (* PI l) (/ (/ PI (/ F l)) F)) (+ (* (* (/ 1 F) (/ 2/3 F)) (* (pow PI 3) (pow l 3))) (* (/ (pow PI 5) (/ F 23/60)) (* (pow l 5) (/ 1 F))))) * * * * [misc]progress: [ 53 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (/ 1 (/ F (/ (sin (* PI l)) (* F (cos (* PI l))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (295 enodes) * [exit]simplify: Simplified to (- (* PI l) (/ (/ (sin (* PI l)) F) (* (cos (* PI l)) F))) * * * * [misc]progress: [ 54 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (/ 1 (/ F (* -1 (/ (sin (* PI l)) (* F (cos (* PI l)))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (243 enodes) * [exit]simplify: Simplified to (+ (/ (/ (sin (* PI l)) F) (* (cos (* PI l)) F)) (* PI l)) * * * * [misc]progress: [ 55 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (/ 1 (/ F (/ (tan (* PI l)) F)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (254 enodes) * [exit]simplify: Simplified to (- (* PI l) (/ (tan (* PI l)) (* F F))) * * * * [misc]progress: [ 56 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (/ 1 (/ F (/ (tan (* PI l)) F)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (254 enodes) * [exit]simplify: Simplified to (- (* PI l) (/ (tan (* PI l)) (* F F))) * * * * [misc]progress: [ 57 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (/ 1 (/ F (/ (tan (* PI l)) F)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (254 enodes) * [exit]simplify: Simplified to (- (* PI l) (/ (tan (* PI l)) (* F F))) * * * [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 2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 2 2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2 2 2) * [misc]approximate: Taking taylor expansion of (* 2/3 l) in (l) around 0 * [misc]taylor: Taking taylor expansion of (* 2/3 l) in l * [misc]taylor: Taking taylor expansion of 2/3 in l * [misc]backup-simplify: Simplify 2/3 into 2/3 * [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 (* 2/3 l) in l * [misc]taylor: Taking taylor expansion of 2/3 in l * [misc]backup-simplify: Simplify 2/3 into 2/3 * [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 2/3 into 2/3 * [misc]backup-simplify: Simplify 2/3 into 2/3 * [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 (* 2/3 l) into (* 2/3 l) * [misc]approximate: Taking taylor expansion of (* 2/3 (/ 1 l)) in (l) around 0 * [misc]taylor: Taking taylor expansion of (* 2/3 (/ 1 l)) in l * [misc]taylor: Taking taylor expansion of 2/3 in l * [misc]backup-simplify: Simplify 2/3 into 2/3 * [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 (* 2/3 (/ 1 l)) in l * [misc]taylor: Taking taylor expansion of 2/3 in l * [misc]backup-simplify: Simplify 2/3 into 2/3 * [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 2/3 into 2/3 * [misc]backup-simplify: Simplify 2/3 into 2/3 * [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 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (/ 1 (/ 1 l))) into (* 2/3 l) * [misc]approximate: Taking taylor expansion of (* 2/3 (/ 1 (- l))) in (l) around 0 * [misc]taylor: Taking taylor expansion of (* 2/3 (/ 1 (- l))) in l * [misc]taylor: Taking taylor expansion of 2/3 in l * [misc]backup-simplify: Simplify 2/3 into 2/3 * [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 (* 2/3 (/ 1 (- l))) in l * [misc]taylor: Taking taylor expansion of 2/3 in l * [misc]backup-simplify: Simplify 2/3 into 2/3 * [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 -2/3 into -2/3 * [misc]backup-simplify: Simplify -2/3 into -2/3 * [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 (* -2/3 (/ 1 (/ 1 (- l)))) into (* 2/3 l) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2 1 2) * [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: [ 3 / 4 ] generating series at (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: [ 4 / 4 ] generating series at (2 2 2 2 1) * [misc]approximate: Taking taylor expansion of (* PI F) in (F) around 0 * [misc]taylor: Taking taylor expansion of (* PI F) in F * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [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 (* PI F) in F * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [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 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 F) into (* F PI) * [misc]approximate: Taking taylor expansion of (* PI (/ 1 F)) in (F) around 0 * [misc]taylor: Taking taylor expansion of (* PI (/ 1 F)) 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 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 (* PI (/ 1 F)) 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 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 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 F))) into (* F PI) * [misc]approximate: Taking taylor expansion of (* PI (/ 1 (- F))) in (F) around 0 * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- F))) 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 (- 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 (* PI (/ 1 (- F))) 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 (- 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 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 (- F)))) into (* F PI) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* 2/3 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 2/3)) * [exit]simplify: Simplified to (log (* l 2/3)) * * * * [misc]progress: [ 3 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 2/3 l)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (exp (* l 2/3)) * [exit]simplify: Simplified to (exp (* l 2/3)) * * * * [misc]progress: [ 4 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* 2/3 l)) (cbrt (* 2/3 l))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (* l 2/3)) (cbrt (* l 2/3))) * [exit]simplify: Simplified to (* (cbrt (* l 2/3)) (cbrt (* l 2/3))) * [enter]simplify: Simplifying (cbrt (* 2/3 l)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (* l 2/3)) * [exit]simplify: Simplified to (cbrt (* l 2/3)) * * * * [misc]progress: [ 5 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* 2/3 l) (* 2/3 l)) (* 2/3 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 2/3) 3) * [exit]simplify: Simplified to (pow (* l 2/3) 3) * * * * [misc]progress: [ 6 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* 2/3 l)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (* l 2/3)) * [exit]simplify: Simplified to (sqrt (* l 2/3)) * [enter]simplify: Simplifying (sqrt (* 2/3 l)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (* l 2/3)) * [exit]simplify: Simplified to (sqrt (* l 2/3)) * * * * [misc]progress: [ 7 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 44 ] 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: [ 11 / 44 ] 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: [ 12 / 44 ] 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: [ 13 / 44 ] 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: [ 14 / 44 ] 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: [ 15 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 44 ] 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: [ 19 / 44 ] 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: [ 20 / 44 ] 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: [ 21 / 44 ] 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: [ 22 / 44 ] 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: [ 23 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* PI F)) * * [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 (* F PI)) * [exit]simplify: Simplified to (log (* F PI)) * * * * [misc]progress: [ 27 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* PI F)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (exp (* F PI)) * [exit]simplify: Simplified to (exp (* F PI)) * * * * [misc]progress: [ 28 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* PI F)) (cbrt (* PI F))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (* F PI)) (cbrt (* F PI))) * [exit]simplify: Simplified to (* (cbrt (* F PI)) (cbrt (* F PI))) * [enter]simplify: Simplifying (cbrt (* PI F)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (* F PI)) * [exit]simplify: Simplified to (cbrt (* F PI)) * * * * [misc]progress: [ 29 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* PI F) (* PI F)) (* PI F)) * * [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 (* F PI) 3) * [exit]simplify: Simplified to (pow (* F PI) 3) * * * * [misc]progress: [ 30 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* PI F)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (* F PI)) * [exit]simplify: Simplified to (sqrt (* F PI)) * [enter]simplify: Simplifying (sqrt (* PI F)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (* F PI)) * [exit]simplify: Simplified to (sqrt (* F PI)) * * * * [misc]progress: [ 31 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 44 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (/ (/ 1 F) (- (/ F (* PI l)) (* (* PI F) (* 2/3 l))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (309 enodes) * * [misc]simplify: iters left: 1 (490 enodes) * [exit]simplify: Simplified to (- (* l PI) (/ (/ 1 F) (- (/ F (* l PI)) (* (* l F) (* PI 2/3))))) * * * * [misc]progress: [ 34 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (/ (/ 1 F) (- (/ F (* PI l)) (* (* PI F) (* 2/3 l))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (309 enodes) * * [misc]simplify: iters left: 1 (490 enodes) * [exit]simplify: Simplified to (- (* l PI) (/ (/ 1 F) (- (/ F (* l PI)) (* (* l F) (* PI 2/3))))) * * * * [misc]progress: [ 35 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (/ (/ 1 F) (- (/ F (* PI l)) (* (* PI F) (* 2/3 l))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (309 enodes) * * [misc]simplify: iters left: 1 (490 enodes) * [exit]simplify: Simplified to (- (* l PI) (/ (/ 1 F) (- (/ F (* l PI)) (* (* l F) (* PI 2/3))))) * * * * [misc]progress: [ 36 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (/ (/ 1 F) (- (/ F (* PI l)) (* (* PI F) (* 2/3 l))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (309 enodes) * * [misc]simplify: iters left: 1 (490 enodes) * [exit]simplify: Simplified to (- (* l PI) (/ (/ 1 F) (- (/ F (* l PI)) (* (* l F) (* PI 2/3))))) * * * * [misc]progress: [ 37 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (/ (/ 1 F) (- (/ F (* PI l)) (* (* PI F) (* 2/3 l))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (309 enodes) * * [misc]simplify: iters left: 1 (490 enodes) * [exit]simplify: Simplified to (- (* l PI) (/ (/ 1 F) (- (/ F (* l PI)) (* (* l F) (* PI 2/3))))) * * * * [misc]progress: [ 38 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (/ (/ 1 F) (- (/ F (* PI l)) (* (* PI F) (* 2/3 l))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (309 enodes) * * [misc]simplify: iters left: 1 (490 enodes) * [exit]simplify: Simplified to (- (* l PI) (/ (/ 1 F) (- (/ F (* l PI)) (* (* l F) (* PI 2/3))))) * * * * [misc]progress: [ 39 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (/ (/ 1 F) (- (/ F (* PI l)) (* (* PI F) (* 2/3 l))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (309 enodes) * * [misc]simplify: iters left: 1 (490 enodes) * [exit]simplify: Simplified to (- (* l PI) (/ (/ 1 F) (- (/ F (* l PI)) (* (* l F) (* PI 2/3))))) * * * * [misc]progress: [ 40 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (/ (/ 1 F) (- (/ F (* PI l)) (* (* PI F) (* 2/3 l))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (309 enodes) * * [misc]simplify: iters left: 1 (490 enodes) * [exit]simplify: Simplified to (- (* l PI) (/ (/ 1 F) (- (/ F (* l PI)) (* (* l F) (* PI 2/3))))) * * * * [misc]progress: [ 41 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (/ (/ 1 F) (- (/ F (* PI l)) (* (* PI F) (* 2/3 l))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (309 enodes) * * [misc]simplify: iters left: 1 (490 enodes) * [exit]simplify: Simplified to (- (* l PI) (/ (/ 1 F) (- (/ F (* l PI)) (* (* l F) (* PI 2/3))))) * * * * [misc]progress: [ 42 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (/ (/ 1 F) (- (/ F (* PI l)) (* (* F PI) (* 2/3 l))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * * [misc]simplify: iters left: 2 (309 enodes) * * [misc]simplify: iters left: 1 (472 enodes) * [exit]simplify: Simplified to (- (* l PI) (/ (/ 1 F) (- (/ F (* l PI)) (* (* 2/3 F) (* l PI))))) * * * * [misc]progress: [ 43 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (/ (/ 1 F) (- (/ F (* PI l)) (* (* F PI) (* 2/3 l))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * * [misc]simplify: iters left: 2 (309 enodes) * * [misc]simplify: iters left: 1 (472 enodes) * [exit]simplify: Simplified to (- (* l PI) (/ (/ 1 F) (- (/ F (* l PI)) (* (* 2/3 F) (* l PI))))) * * * * [misc]progress: [ 44 / 44 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (/ (/ 1 F) (- (/ F (* PI l)) (* (* F PI) (* 2/3 l))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * * [misc]simplify: iters left: 2 (309 enodes) * * [misc]simplify: iters left: 1 (472 enodes) * [exit]simplify: Simplified to (- (* l PI) (/ (/ 1 F) (- (/ F (* l PI)) (* (* 2/3 F) (* l PI))))) * * * [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 (- (* PI l) (* (/ 1 (* F F)) (tan (* PI l)))) +nan.0)) , with alts (#) * [enter]simplify: Simplifying (exp (* 2/3 l)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (exp (* l 2/3)) * [exit]simplify: Simplified to (exp (* l 2/3)) * * * * [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