* [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: Setting MPFR precision to 2624 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 22 additional inputs, on iter 1 have 234 / 256 * * * * [misc]points: Computing exacts for 22 points * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2624 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 2 have 252 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2624 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 256 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (- (* PI l) (* (/ 1 (* F F)) (tan (* PI l)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (169 enodes) * * [misc]simplify: iters left: 1 (225 enodes) * [exit]simplify: Simplified to (fma (tan (* PI l)) (/ (- 1) (* F F)) (* PI l)) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (tan (* PI l)) in (l) around 0 * [misc]taylor: Taking taylor expansion of (tan (* PI l)) in l * [misc]taylor: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) * [misc]taylor: Taking taylor expansion of (sin (* PI l)) in l * [misc]taylor: Taking taylor expansion of (* PI l) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]taylor: Taking taylor expansion of (cos (* PI l)) in l * [misc]taylor: Taking taylor expansion of (* PI l) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow PI 1) 1))) into PI * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (tan (* PI l)) in l * [misc]taylor: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) * [misc]taylor: Taking taylor expansion of (sin (* PI l)) in l * [misc]taylor: Taking taylor expansion of (* PI l) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]taylor: Taking taylor expansion of (cos (* PI l)) in l * [misc]taylor: Taking taylor expansion of (* PI l) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow PI 1) 1))) into PI * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow PI 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 1/6 (pow PI 3))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow PI 2) 2)) 0) into (- (* 1/2 (pow PI 2))) * [misc]backup-simplify: Simplify (- (/ (- (* 1/6 (pow PI 3))) 1) (+ (* PI (/ (- (* 1/2 (pow PI 2))) 1)) (* 0 (/ 0 1)))) into (* 1/3 (pow PI 3)) * [misc]backup-simplify: Simplify (* 1/3 (pow PI 3)) into (* 1/3 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow PI 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow PI 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ (- (* 1/2 (pow PI 2))) 1)) (* (* 1/3 (pow PI 3)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow PI 5) 120)) 0 (* -1 (/ (pow PI 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow PI 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into (* 1/120 (pow PI 5)) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow PI 4) 24)) 0 (* -1 (/ (pow PI 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into (* 1/24 (pow PI 4)) * [misc]backup-simplify: Simplify (- (/ (* 1/120 (pow PI 5)) 1) (+ (* PI (/ (* 1/24 (pow PI 4)) 1)) (* 0 (/ 0 1)) (* (* 1/3 (pow PI 3)) (/ (- (* 1/2 (pow PI 2))) 1)) (* 0 (/ 0 1)))) into (* 2/15 (pow PI 5)) * [misc]backup-simplify: Simplify (* 2/15 (pow PI 5)) into (* 2/15 (pow PI 5)) * [misc]backup-simplify: Simplify (+ (* (* 2/15 (pow PI 5)) (pow l 5)) (+ (* (* 1/3 (pow PI 3)) (pow l 3)) (* PI l))) into (+ (* 2/15 (* (pow PI 5) (pow l 5))) (+ (* 1/3 (* (pow PI 3) (pow l 3))) (* PI l))) * [misc]approximate: Taking taylor expansion of (tan (* PI (/ 1 l))) in (l) around 0 * [misc]taylor: Taking taylor expansion of (tan (* PI (/ 1 l))) in l * [misc]taylor: Rewrote expression to (/ (sin (* PI (/ 1 l))) (cos (* PI (/ 1 l)))) * [misc]taylor: Taking taylor expansion of (sin (* PI (/ 1 l))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 l)) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* PI 1) into PI * [misc]backup-simplify: Simplify (sin (* PI (/ 1 l))) into (sin (/ PI l)) * [misc]taylor: Taking taylor expansion of (cos (* PI (/ 1 l))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 l)) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* PI 1) into PI * [misc]backup-simplify: Simplify (cos (* PI (/ 1 l))) into (cos (/ PI l)) * [misc]backup-simplify: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]taylor: Taking taylor expansion of (tan (* PI (/ 1 l))) in l * [misc]taylor: Rewrote expression to (/ (sin (* PI (/ 1 l))) (cos (* PI (/ 1 l)))) * [misc]taylor: Taking taylor expansion of (sin (* PI (/ 1 l))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 l)) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* PI 1) into PI * [misc]backup-simplify: Simplify (sin (* PI (/ 1 l))) into (sin (/ PI l)) * [misc]taylor: Taking taylor expansion of (cos (* PI (/ 1 l))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 l)) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* PI 1) into PI * [misc]backup-simplify: Simplify (cos (* PI (/ 1 l))) into (cos (/ PI l)) * [misc]backup-simplify: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]backup-simplify: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ PI l))) (+ (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ PI l))) (+ (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l)))) (* 0 (/ 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)))) (* 0 (/ 0 (cos (/ PI l)))) (* 0 (/ 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)))) (* 0 (/ 0 (cos (/ PI l)))) (* 0 (/ 0 (cos (/ PI l)))) (* 0 (/ 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)))) (* 0 (/ 0 (cos (/ PI l)))) (* 0 (/ 0 (cos (/ PI l)))) (* 0 (/ 0 (cos (/ PI l)))) (* 0 (/ 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)))) (* 0 (/ 0 (cos (/ PI l)))) (* 0 (/ 0 (cos (/ PI l)))) (* 0 (/ 0 (cos (/ PI l)))) (* 0 (/ 0 (cos (/ PI l)))) (* 0 (/ 0 (cos (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (sin (/ PI (/ 1 l))) (cos (/ PI (/ 1 l)))) into (/ (sin (* PI l)) (cos (* PI l))) * [misc]approximate: Taking taylor expansion of (tan (* PI (/ 1 (- l)))) in (l) around 0 * [misc]taylor: Taking taylor expansion of (tan (* PI (/ 1 (- l)))) in l * [misc]taylor: Rewrote expression to (/ (sin (* PI (/ 1 (- l)))) (cos (* PI (/ 1 (- l))))) * [misc]taylor: Taking taylor expansion of (sin (* PI (/ 1 (- l)))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- l))) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (sin (* PI (/ 1 (- l)))) into (sin (* -1 (/ PI l))) * [misc]taylor: Taking taylor expansion of (cos (* PI (/ 1 (- l)))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- l))) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (cos (* PI (/ 1 (- l)))) into (cos (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) * [misc]taylor: Taking taylor expansion of (tan (* PI (/ 1 (- l)))) in l * [misc]taylor: Rewrote expression to (/ (sin (* PI (/ 1 (- l)))) (cos (* PI (/ 1 (- l))))) * [misc]taylor: Taking taylor expansion of (sin (* PI (/ 1 (- l)))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- l))) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (sin (* PI (/ 1 (- l)))) into (sin (* -1 (/ PI l))) * [misc]taylor: Taking taylor expansion of (cos (* PI (/ 1 (- l)))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- l))) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (cos (* PI (/ 1 (- l)))) into (cos (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) * [misc]backup-simplify: Simplify (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) * [misc]backup-simplify: Simplify (- (/ 0 (cos (* -1 (/ PI l)))) (+ (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (* -1 (/ PI l)))) (+ (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l))))) (* 0 (/ 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))))) (* 0 (/ 0 (cos (* -1 (/ PI l))))) (* 0 (/ 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))))) (* 0 (/ 0 (cos (* -1 (/ PI l))))) (* 0 (/ 0 (cos (* -1 (/ PI l))))) (* 0 (/ 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))))) (* 0 (/ 0 (cos (* -1 (/ PI l))))) (* 0 (/ 0 (cos (* -1 (/ PI l))))) (* 0 (/ 0 (cos (* -1 (/ PI l))))) (* 0 (/ 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))))) (* 0 (/ 0 (cos (* -1 (/ PI l))))) (* 0 (/ 0 (cos (* -1 (/ PI l))))) (* 0 (/ 0 (cos (* -1 (/ PI l))))) (* 0 (/ 0 (cos (* -1 (/ PI l))))) (* 0 (/ 0 (cos (* -1 (/ PI l))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (sin (* -1 (/ PI (/ 1 (- l))))) (cos (* -1 (/ PI (/ 1 (- l)))))) into (/ (sin (* PI l)) (cos (* PI l))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (* (/ 1 (* F F)) (tan (* PI l))) in (F l) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* F F)) (tan (* PI l))) in l * [misc]taylor: Taking taylor expansion of (/ 1 (* F F)) in l * [misc]taylor: Taking taylor expansion of (* F F) in l * [misc]taylor: Taking taylor expansion of F in l * [misc]backup-simplify: Simplify F into F * [misc]taylor: Taking taylor expansion of F in l * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify (* F F) into (pow F 2) * [misc]backup-simplify: Simplify (/ 1 (pow F 2)) into (/ 1 (pow F 2)) * [misc]taylor: Taking taylor expansion of (tan (* PI l)) in l * [misc]taylor: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) * [misc]taylor: Taking taylor expansion of (sin (* PI l)) in l * [misc]taylor: Taking taylor expansion of (* PI l) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]taylor: Taking taylor expansion of (cos (* PI l)) in l * [misc]taylor: Taking taylor expansion of (* PI l) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow PI 1) 1))) into PI * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (* (/ 1 (* F F)) (tan (* PI l))) in F * [misc]taylor: Taking taylor expansion of (/ 1 (* F F)) in F * [misc]taylor: Taking taylor expansion of (* F F) in F * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (tan (* PI l)) in F * [misc]taylor: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) * [misc]taylor: Taking taylor expansion of (sin (* PI l)) in F * [misc]taylor: Taking taylor expansion of (* PI l) in F * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in F * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (* PI l) into (* PI l) * [misc]backup-simplify: Simplify (sin (* PI l)) into (sin (* PI l)) * [misc]backup-simplify: Simplify (cos (* PI l)) into (cos (* PI l)) * [misc]taylor: Taking taylor expansion of (cos (* PI l)) in F * [misc]taylor: Taking taylor expansion of (* PI l) in F * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in F * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (* PI l) into (* PI l) * [misc]backup-simplify: Simplify (cos (* PI l)) into (cos (* PI l)) * [misc]backup-simplify: Simplify (sin (* PI l)) into (sin (* PI l)) * [misc]backup-simplify: Simplify (* (sin (* PI l)) 1) into (sin (* PI l)) * [misc]backup-simplify: Simplify (* (cos (* PI l)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (* PI l)) 0) into (sin (* PI l)) * [misc]backup-simplify: Simplify (* (cos (* PI l)) 1) into (cos (* PI l)) * [misc]backup-simplify: Simplify (* (sin (* PI l)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* PI l)) 0) into (cos (* PI l)) * [misc]backup-simplify: Simplify (/ (sin (* PI l)) (cos (* PI l))) into (/ (sin (* PI l)) (cos (* PI l))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (* F F)) (tan (* PI l))) in F * [misc]taylor: Taking taylor expansion of (/ 1 (* F F)) in F * [misc]taylor: Taking taylor expansion of (* F F) in F * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (tan (* PI l)) in F * [misc]taylor: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) * [misc]taylor: Taking taylor expansion of (sin (* PI l)) in F * [misc]taylor: Taking taylor expansion of (* PI l) in F * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in F * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (* PI l) into (* PI l) * [misc]backup-simplify: Simplify (sin (* PI l)) into (sin (* PI l)) * [misc]backup-simplify: Simplify (cos (* PI l)) into (cos (* PI l)) * [misc]taylor: Taking taylor expansion of (cos (* PI l)) in F * [misc]taylor: Taking taylor expansion of (* PI l) in F * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in F * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (* PI l) into (* PI l) * [misc]backup-simplify: Simplify (cos (* PI l)) into (cos (* PI l)) * [misc]backup-simplify: Simplify (sin (* PI l)) into (sin (* PI l)) * [misc]backup-simplify: Simplify (* (sin (* PI l)) 1) into (sin (* PI l)) * [misc]backup-simplify: Simplify (* (cos (* PI l)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (* PI l)) 0) into (sin (* PI l)) * [misc]backup-simplify: Simplify (* (cos (* PI l)) 1) into (cos (* PI l)) * [misc]backup-simplify: Simplify (* (sin (* PI l)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* PI l)) 0) 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 (* 1 (/ (sin (* PI l)) (cos (* PI l)))) into (/ (sin (* PI l)) (cos (* PI l))) * [misc]taylor: Taking taylor expansion of (/ (sin (* PI l)) (cos (* PI l))) in l * [misc]taylor: Taking taylor expansion of (sin (* PI l)) in l * [misc]taylor: Taking taylor expansion of (* PI l) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]taylor: Taking taylor expansion of (cos (* PI l)) in l * [misc]taylor: Taking taylor expansion of (* PI l) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow PI 1) 1))) into PI * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* PI l)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 l)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* PI l)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* PI l)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 l)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* PI l)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 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 (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* PI l)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 l))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* PI l)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* PI l)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 l))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* PI l)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (* PI l))) (+ (* (/ (sin (* PI l)) (cos (* PI l))) (/ 0 (cos (* PI l)))) (* 0 (/ 0 (cos (* PI l)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 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 (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow PI 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 1/6 (pow PI 3))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow PI 2) 2)) 0) into (- (* 1/2 (pow PI 2))) * [misc]backup-simplify: Simplify (- (/ (- (* 1/6 (pow PI 3))) 1) (+ (* PI (/ (- (* 1/2 (pow PI 2))) 1)) (* 0 (/ 0 1)))) into (* 1/3 (pow PI 3)) * [misc]backup-simplify: Simplify (* 1/3 (pow PI 3)) into (* 1/3 (pow PI 3)) * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* PI l)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* PI l)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* PI l)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* PI l)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (* PI l))) (+ (* (/ (sin (* PI l)) (cos (* PI l))) (/ 0 (cos (* PI l)))) (* 0 (/ 0 (cos (* PI l)))) (* 0 (/ 0 (cos (* PI l)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 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 (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow PI 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow PI 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ (- (* 1/2 (pow PI 2))) 1)) (* (* 1/3 (pow PI 3)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* PI l)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 l))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* PI l)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* PI l)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 l))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* PI l)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (* PI l))) (+ (* (/ (sin (* PI l)) (cos (* PI l))) (/ 0 (cos (* PI l)))) (* 0 (/ 0 (cos (* PI l)))) (* 0 (/ 0 (cos (* PI l)))) (* 0 (/ 0 (cos (* PI l)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 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 (+ (* (* 1/3 (pow PI 3)) (* (pow l 3) (pow F -2))) (* PI (* l (pow F -2)))) into (+ (/ (* PI l) (pow F 2)) (* 1/3 (/ (* (pow PI 3) (pow l 3)) (pow F 2)))) * [misc]approximate: Taking taylor expansion of (* (/ 1 (* (/ 1 F) (/ 1 F))) (tan (* PI (/ 1 l)))) in (F l) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (/ 1 F) (/ 1 F))) (tan (* PI (/ 1 l)))) in l * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 F) (/ 1 F))) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 F) (/ 1 F)) in l * [misc]taylor: Taking taylor expansion of (/ 1 F) in l * [misc]taylor: Taking taylor expansion of F in l * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify (/ 1 F) into (/ 1 F) * [misc]taylor: Taking taylor expansion of (/ 1 F) in l * [misc]taylor: Taking taylor expansion of F in l * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify (/ 1 F) into (/ 1 F) * [misc]backup-simplify: Simplify (* (/ 1 F) (/ 1 F)) into (/ 1 (pow F 2)) * [misc]backup-simplify: Simplify (/ 1 (/ 1 (pow F 2))) into (pow F 2) * [misc]taylor: Taking taylor expansion of (tan (* PI (/ 1 l))) in l * [misc]taylor: Rewrote expression to (/ (sin (* PI (/ 1 l))) (cos (* PI (/ 1 l)))) * [misc]taylor: Taking taylor expansion of (sin (* PI (/ 1 l))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 l)) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* PI 1) into PI * [misc]backup-simplify: Simplify (sin (* PI (/ 1 l))) into (sin (/ PI l)) * [misc]taylor: Taking taylor expansion of (cos (* PI (/ 1 l))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 l)) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* PI 1) into PI * [misc]backup-simplify: Simplify (cos (* PI (/ 1 l))) into (cos (/ PI l)) * [misc]backup-simplify: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (/ 1 F) (/ 1 F))) (tan (* PI (/ 1 l)))) in F * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 F) (/ 1 F))) in F * [misc]taylor: Taking taylor expansion of (* (/ 1 F) (/ 1 F)) in F * [misc]taylor: Taking taylor expansion of (/ 1 F) in F * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 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 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (tan (* PI (/ 1 l))) in F * [misc]taylor: Rewrote expression to (/ (sin (* PI (/ 1 l))) (cos (* PI (/ 1 l)))) * [misc]taylor: Taking taylor expansion of (sin (* PI (/ 1 l))) in F * [misc]taylor: Taking taylor expansion of (* PI (/ 1 l)) in F * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 l) in F * [misc]taylor: Taking taylor expansion of l in F * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ 1 l) into (/ 1 l) * [misc]backup-simplify: Simplify (* PI (/ 1 l)) into (/ PI l) * [misc]backup-simplify: Simplify (sin (/ PI l)) into (sin (/ PI l)) * [misc]backup-simplify: Simplify (cos (/ PI l)) into (cos (/ PI l)) * [misc]taylor: Taking taylor expansion of (cos (* PI (/ 1 l))) in F * [misc]taylor: Taking taylor expansion of (* PI (/ 1 l)) in F * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 l) in F * [misc]taylor: Taking taylor expansion of l in F * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ 1 l) into (/ 1 l) * [misc]backup-simplify: Simplify (* PI (/ 1 l)) into (/ PI l) * [misc]backup-simplify: Simplify (cos (/ PI l)) into (cos (/ PI l)) * [misc]backup-simplify: Simplify (sin (/ PI l)) into (sin (/ PI l)) * [misc]backup-simplify: Simplify (* (sin (/ PI l)) 1) into (sin (/ PI l)) * [misc]backup-simplify: Simplify (* (cos (/ PI l)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ PI l)) 0) into (sin (/ PI l)) * [misc]backup-simplify: Simplify (* (cos (/ PI l)) 1) into (cos (/ PI l)) * [misc]backup-simplify: Simplify (* (sin (/ PI l)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ PI l)) 0) into (cos (/ PI l)) * [misc]backup-simplify: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (/ 1 F) (/ 1 F))) (tan (* PI (/ 1 l)))) in F * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 F) (/ 1 F))) in F * [misc]taylor: Taking taylor expansion of (* (/ 1 F) (/ 1 F)) in F * [misc]taylor: Taking taylor expansion of (/ 1 F) in F * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 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 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (tan (* PI (/ 1 l))) in F * [misc]taylor: Rewrote expression to (/ (sin (* PI (/ 1 l))) (cos (* PI (/ 1 l)))) * [misc]taylor: Taking taylor expansion of (sin (* PI (/ 1 l))) in F * [misc]taylor: Taking taylor expansion of (* PI (/ 1 l)) in F * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 l) in F * [misc]taylor: Taking taylor expansion of l in F * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ 1 l) into (/ 1 l) * [misc]backup-simplify: Simplify (* PI (/ 1 l)) into (/ PI l) * [misc]backup-simplify: Simplify (sin (/ PI l)) into (sin (/ PI l)) * [misc]backup-simplify: Simplify (cos (/ PI l)) into (cos (/ PI l)) * [misc]taylor: Taking taylor expansion of (cos (* PI (/ 1 l))) in F * [misc]taylor: Taking taylor expansion of (* PI (/ 1 l)) in F * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 l) in F * [misc]taylor: Taking taylor expansion of l in F * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ 1 l) into (/ 1 l) * [misc]backup-simplify: Simplify (* PI (/ 1 l)) into (/ PI l) * [misc]backup-simplify: Simplify (cos (/ PI l)) into (cos (/ PI l)) * [misc]backup-simplify: Simplify (sin (/ PI l)) into (sin (/ PI l)) * [misc]backup-simplify: Simplify (* (sin (/ PI l)) 1) into (sin (/ PI l)) * [misc]backup-simplify: Simplify (* (cos (/ PI l)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ PI l)) 0) into (sin (/ PI l)) * [misc]backup-simplify: Simplify (* (cos (/ PI l)) 1) into (cos (/ PI l)) * [misc]backup-simplify: Simplify (* (sin (/ PI l)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ PI l)) 0) 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 (* 1 (/ (sin (/ PI l)) (cos (/ PI l)))) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]taylor: Taking taylor expansion of (/ (sin (/ PI l)) (cos (/ PI l))) in l * [misc]taylor: Taking taylor expansion of (sin (/ PI l)) in l * [misc]taylor: Taking taylor expansion of (/ PI l) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (sin (/ PI l)) into (sin (/ PI l)) * [misc]taylor: Taking taylor expansion of (cos (/ PI l)) in l * [misc]taylor: Taking taylor expansion of (/ PI l) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (cos (/ PI l)) into (cos (/ PI l)) * [misc]backup-simplify: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]backup-simplify: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ PI l)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 l) (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (/ 1 l))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ PI l)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ PI l)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 l) (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (/ 1 l))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ PI l)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ PI l))) (+ (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 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 (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 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ PI l)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 l) (/ 0 l)) (* 0 (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (/ 1 l)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ PI l)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ PI l)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 l) (/ 0 l)) (* 0 (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (/ 1 l)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ PI l)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ PI l))) (+ (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l)))) (* 0 (/ 0 (cos (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 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 (cos (/ PI l))) (+ (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l)))) (* 0 (/ 0 (cos (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ PI l)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 l) (/ 0 l)) (* 0 (/ 0 l)) (* 0 (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 l))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ PI l)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ PI l)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 l) (/ 0 l)) (* 0 (/ 0 l)) (* 0 (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 l))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ PI l)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ PI l))) (+ (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l)))) (* 0 (/ 0 (cos (/ PI l)))) (* 0 (/ 0 (cos (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 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 (* (/ (sin (/ PI (/ 1 l))) (cos (/ PI (/ 1 l)))) (pow (* 1 (/ 1 F)) 2)) into (/ (sin (* PI l)) (* (pow F 2) (cos (* PI l)))) * [misc]approximate: Taking taylor expansion of (* (/ 1 (* (/ 1 (- F)) (/ 1 (- F)))) (tan (* PI (/ 1 (- l))))) in (F l) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (/ 1 (- F)) (/ 1 (- F)))) (tan (* PI (/ 1 (- l))))) in l * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 (- F)) (/ 1 (- F)))) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 (- F)) (/ 1 (- F))) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- F)) in l * [misc]taylor: Taking taylor expansion of (- F) in l * [misc]taylor: Taking taylor expansion of F in l * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify (- F) into (- F) * [misc]backup-simplify: Simplify (- F) into (- F) * [misc]backup-simplify: Simplify (/ 1 (- F)) into (/ -1 F) * [misc]taylor: Taking taylor expansion of (/ 1 (- F)) in l * [misc]taylor: Taking taylor expansion of (- F) in l * [misc]taylor: Taking taylor expansion of F in l * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify (- F) into (- F) * [misc]backup-simplify: Simplify (- F) into (- F) * [misc]backup-simplify: Simplify (/ 1 (- F)) into (/ -1 F) * [misc]backup-simplify: Simplify (* (/ -1 F) (/ -1 F)) into (/ 1 (pow F 2)) * [misc]backup-simplify: Simplify (/ 1 (/ 1 (pow F 2))) into (pow F 2) * [misc]taylor: Taking taylor expansion of (tan (* PI (/ 1 (- l)))) in l * [misc]taylor: Rewrote expression to (/ (sin (* PI (/ 1 (- l)))) (cos (* PI (/ 1 (- l))))) * [misc]taylor: Taking taylor expansion of (sin (* PI (/ 1 (- l)))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- l))) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (sin (* PI (/ 1 (- l)))) into (sin (* -1 (/ PI l))) * [misc]taylor: Taking taylor expansion of (cos (* PI (/ 1 (- l)))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- l))) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (cos (* PI (/ 1 (- l)))) into (cos (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (/ 1 (- F)) (/ 1 (- F)))) (tan (* PI (/ 1 (- l))))) in F * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 (- F)) (/ 1 (- F)))) in F * [misc]taylor: Taking taylor expansion of (* (/ 1 (- F)) (/ 1 (- F))) in F * [misc]taylor: Taking taylor expansion of (/ 1 (- F)) in F * [misc]taylor: Taking taylor expansion of (- F) in F * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -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 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (tan (* PI (/ 1 (- l)))) in F * [misc]taylor: Rewrote expression to (/ (sin (* PI (/ 1 (- l)))) (cos (* PI (/ 1 (- l))))) * [misc]taylor: Taking taylor expansion of (sin (* PI (/ 1 (- l)))) in F * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- l))) in F * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in F * [misc]taylor: Taking taylor expansion of (- l) in F * [misc]taylor: Taking taylor expansion of l in F * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (/ 1 (- l)) into (/ -1 l) * [misc]backup-simplify: Simplify (* PI (/ -1 l)) into (* -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 (* PI (/ 1 (- l)))) in F * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- l))) in F * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in F * [misc]taylor: Taking taylor expansion of (- l) in F * [misc]taylor: Taking taylor expansion of l in F * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (/ 1 (- l)) into (/ -1 l) * [misc]backup-simplify: Simplify (* PI (/ -1 l)) into (* -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))) 1) into (sin (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (* (cos (* -1 (/ PI l))) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (* -1 (/ PI l))) 0) into (sin (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (* (cos (* -1 (/ PI l))) 1) into (cos (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (* (sin (* -1 (/ PI l))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* -1 (/ PI l))) 0) into (cos (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (/ 1 (- F)) (/ 1 (- F)))) (tan (* PI (/ 1 (- l))))) in F * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 (- F)) (/ 1 (- F)))) in F * [misc]taylor: Taking taylor expansion of (* (/ 1 (- F)) (/ 1 (- F))) in F * [misc]taylor: Taking taylor expansion of (/ 1 (- F)) in F * [misc]taylor: Taking taylor expansion of (- F) in F * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -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 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (tan (* PI (/ 1 (- l)))) in F * [misc]taylor: Rewrote expression to (/ (sin (* PI (/ 1 (- l)))) (cos (* PI (/ 1 (- l))))) * [misc]taylor: Taking taylor expansion of (sin (* PI (/ 1 (- l)))) in F * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- l))) in F * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in F * [misc]taylor: Taking taylor expansion of (- l) in F * [misc]taylor: Taking taylor expansion of l in F * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (/ 1 (- l)) into (/ -1 l) * [misc]backup-simplify: Simplify (* PI (/ -1 l)) into (* -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 (* PI (/ 1 (- l)))) in F * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- l))) in F * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in F * [misc]taylor: Taking taylor expansion of (- l) in F * [misc]taylor: Taking taylor expansion of l in F * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (/ 1 (- l)) into (/ -1 l) * [misc]backup-simplify: Simplify (* PI (/ -1 l)) into (* -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))) 1) into (sin (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (* (cos (* -1 (/ PI l))) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (* -1 (/ PI l))) 0) into (sin (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (* (cos (* -1 (/ PI l))) 1) into (cos (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (* (sin (* -1 (/ PI l))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* -1 (/ PI l))) 0) 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 (* 1 (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l))))) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) * [misc]taylor: Taking taylor expansion of (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) in l * [misc]taylor: Taking taylor expansion of (sin (* -1 (/ PI l))) in l * [misc]taylor: Taking taylor expansion of (* -1 (/ PI l)) in l * [misc]taylor: Taking taylor expansion of -1 in l * [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 (/ PI 1) into PI * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (sin (* -1 (/ PI l))) into (sin (* -1 (/ PI l))) * [misc]taylor: Taking taylor expansion of (cos (* -1 (/ PI l))) in l * [misc]taylor: Taking taylor expansion of (* -1 (/ PI l)) in l * [misc]taylor: Taking taylor expansion of -1 in l * [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 (/ PI 1) into PI * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [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) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1 (/ PI l))) 0) (* 0 1)) 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 (+ (* PI 0) (* 0 (/ -1 l))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1 (/ PI l))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1 (/ PI l))) 0) (* 0 1)) 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 (+ (* PI 0) (* 0 (/ -1 l))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1 (/ PI l))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ 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 (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 (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1 (/ PI l))) 0) (+ (* 0 0) (* 0 1))) 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))) (* 0 (/ 0 (- l))))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (/ -1 l)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1 (/ PI l))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1 (/ PI l))) 0) (+ (* 0 0) (* 0 1))) 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))) (* 0 (/ 0 (- l))))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (/ -1 l)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1 (/ PI l))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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))))) (* 0 (/ 0 (cos (* -1 (/ 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ 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 (cos (* -1 (/ PI l)))) (+ (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l))))) (* 0 (/ 0 (cos (* -1 (/ PI l))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1 (/ PI l))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) 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))) (* 0 (/ 0 (- l))) (* 0 (/ 0 (- l))))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 l))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1 (/ PI l))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1 (/ PI l))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) 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))) (* 0 (/ 0 (- l))) (* 0 (/ 0 (- l))))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 l))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1 (/ PI l))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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))))) (* 0 (/ 0 (cos (* -1 (/ PI l))))) (* 0 (/ 0 (cos (* -1 (/ 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ 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 (* (/ (sin (* -1 (/ PI (/ 1 (- l))))) (cos (* -1 (/ PI (/ 1 (- l)))))) (pow (* 1 (/ 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 (/ 1 (* F F)) in (F) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (* F F)) in F * [misc]taylor: Taking taylor expansion of (* F F) in F * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (* F F)) in F * [misc]taylor: Taking taylor expansion of (* F F) in F * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 F) 2)) into (/ 1 (pow F 2)) * [misc]approximate: Taking taylor expansion of (/ 1 (* (/ 1 F) (/ 1 F))) in (F) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 F) (/ 1 F))) in F * [misc]taylor: Taking taylor expansion of (* (/ 1 F) (/ 1 F)) in F * [misc]taylor: Taking taylor expansion of (/ 1 F) in F * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 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 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 F) (/ 1 F))) in F * [misc]taylor: Taking taylor expansion of (* (/ 1 F) (/ 1 F)) in F * [misc]taylor: Taking taylor expansion of (/ 1 F) in F * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 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 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 F) 2)) into (/ 1 (pow F 2)) * [misc]approximate: Taking taylor expansion of (/ 1 (* (/ 1 (- F)) (/ 1 (- F)))) in (F) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 (- F)) (/ 1 (- F)))) in F * [misc]taylor: Taking taylor expansion of (* (/ 1 (- F)) (/ 1 (- F))) in F * [misc]taylor: Taking taylor expansion of (/ 1 (- F)) in F * [misc]taylor: Taking taylor expansion of (- F) in F * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -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 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 (- F)) (/ 1 (- F)))) in F * [misc]taylor: Taking taylor expansion of (* (/ 1 (- F)) (/ 1 (- F))) in F * [misc]taylor: Taking taylor expansion of (/ 1 (- F)) in F * [misc]taylor: Taking taylor expansion of (- F) in F * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -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 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 (- F)) 2)) into (/ 1 (pow F 2)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 2 1) * [misc]approximate: Taking taylor expansion of (* PI l) in (l) around 0 * [misc]taylor: Taking taylor expansion of (* PI l) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* PI l) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 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 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 1) into 1 * [misc]backup-simplify: Simplify (* PI 1) into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) 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 -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 -1) into -1 * [misc]backup-simplify: Simplify (* PI -1) 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 (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 -1)) 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 -1))) 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -1 PI) (/ 1 (/ 1 (- l)))) into (* PI l) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (* F F)) (tan (* PI l))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (/ (tan (* PI l)) (* F F)) * [misc]simplify: Simplified (2 2 1) to (λ (F l) (- (* PI l) (pow (/ (tan (* PI l)) (* F F)) 1))) * * * * [misc]progress: [ 14 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (* F F))) (log (tan (* PI l)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (- (log (tan (* PI l))) (log (* F F))) * [misc]simplify: Simplified (2 2 1) to (λ (F l) (- (* PI l) (exp (- (log (tan (* PI l))) (log (* F F)))))) * * * * [misc]progress: [ 16 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ 1 (* F F))) (log (tan (* PI l)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (454 enodes) * [exit]simplify: Simplified to (- (log (tan (* PI l))) (+ (log F) (log F))) * [misc]simplify: Simplified (2 2 1) to (λ (F l) (- (* PI l) (exp (- (log (tan (* PI l))) (+ (log F) (log F)))))) * * * * [misc]progress: [ 17 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ 1 (* F F)) (/ 1 (* F F))) (/ 1 (* F F))) (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (286 enodes) * [exit]simplify: Simplified to (* (* (/ (/ 1 F) (* F F)) (/ (/ 1 F) (* F F))) (pow (tan (* l PI)) 3)) * [misc]simplify: Simplified (2 2 1) to (λ (F l) (- (* PI l) (cbrt (* (* (/ (/ 1 F) (* F F)) (/ (/ 1 F) (* F F))) (pow (tan (* l PI)) 3))))) * * * * [misc]progress: [ 20 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (sin (* PI l))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (sin (* l PI)) * [misc]simplify: Simplified (2 2 1) to (λ (F l) (- (* PI l) (/ (sin (* l PI)) (* (* F F) (cos (* PI l)))))) * [enter]simplify: Simplifying (* (* F F) (cos (* PI l))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * [exit]simplify: Simplified to (* (cos (* PI l)) (* F F)) * [misc]simplify: Simplified (2 2 2) to (λ (F l) (- (* PI l) (/ (sin (* l PI)) (* (cos (* PI l)) (* F F))))) * * * * [misc]progress: [ 24 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (tan (* PI l))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (tan (* PI l))) * [misc]simplify: Simplified (2 2 2) to (λ (F l) (- (* PI l) (* (* (/ 1 (* F F)) (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l))))) (cbrt (tan (* PI l)))))) * * * * [misc]progress: [ 26 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (tan (* PI l))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (tan (* PI l))) * [misc]simplify: Simplified (2 2 2) to (λ (F l) (- (* PI l) (* (* (/ 1 (* F F)) (sqrt (tan (* PI l)))) (sqrt (tan (* PI l)))))) * * * * [misc]progress: [ 27 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (tan (* PI l)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (tan (* PI l)) * [misc]simplify: Simplified (2 2 2) to (λ (F l) (- (* PI l) (* (* (/ 1 (* F F)) 1) (tan (* PI l))))) * * * * [misc]progress: [ 28 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 1 (* F F))) (cbrt (/ 1 (* F F)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ 1 F) F)) (cbrt (/ (/ 1 F) F))) * [misc]simplify: Simplified (2 2 1) to (λ (F l) (- (* PI l) (* (* (cbrt (/ (/ 1 F) F)) (cbrt (/ (/ 1 F) F))) (* (cbrt (/ 1 (* F F))) (tan (* PI l)))))) * * * * [misc]progress: [ 29 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (* F F))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 1 F) F)) * [misc]simplify: Simplified (2 2 1) to (λ (F l) (- (* PI l) (* (sqrt (/ (/ 1 F) F)) (* (sqrt (/ 1 (* F F))) (tan (* PI l)))))) * * * * [misc]progress: [ 30 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (cos (* PI l)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cos (* PI l)) * [misc]simplify: Simplified (2 2 2) to (λ (F l) (- (* PI l) (/ (* (/ 1 (* F F)) (sin (* PI l))) (cos (* PI l))))) * * * * [misc]progress: [ 33 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (tan (* PI l))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (tan (* l PI)) * [misc]simplify: Simplified (2 2 1) to (λ (F l) (- (* PI l) (/ (tan (* l PI)) (* F F)))) * * * * [misc]progress: [ 34 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (- 2) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- 2) * [misc]simplify: Simplified (2 2 1 2) to (λ (F l) (- (* PI l) (* (pow F (- 2)) (tan (* PI l))))) * * * * [misc]progress: [ 39 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (- 1) * [misc]simplify: Simplified (2 2 1 2) to (λ (F l) (- (* PI l) (* (pow (* F F) (- 1)) (tan (* PI l))))) * * * * [misc]progress: [ 40 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 2/15 (* (pow PI 5) (pow l 5))) (+ (* 1/3 (* (pow PI 3) (pow l 3))) (* PI l))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (204 enodes) * * [misc]simplify: iters left: 2 (396 enodes) * [exit]simplify: Simplified to (fma (* (pow l 5) 2/15) (pow PI 5) (fma (* (* l 1/3) PI) (* (* PI l) (* PI l)) (* PI l))) * [misc]simplify: Simplified (2 2 2) to (λ (F l) (- (* PI l) (* (/ 1 (* F F)) (fma (* (pow l 5) 2/15) (pow PI 5) (fma (* (* l 1/3) PI) (* (* PI l) (* PI l)) (* PI l)))))) * * * * [misc]progress: [ 63 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin (* PI l)) (cos (* PI l))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (sin (* PI l)) (cos (* PI l))) * [misc]simplify: Simplified (2 2 2) to (λ (F l) (- (* PI l) (* (/ 1 (* F F)) (/ (sin (* PI l)) (cos (* PI l)))))) * * * * [misc]progress: [ 64 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin (* PI l)) (cos (* PI l))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (sin (* PI l)) (cos (* PI l))) * [misc]simplify: Simplified (2 2 2) to (λ (F l) (- (* PI l) (* (/ 1 (* F F)) (/ (sin (* PI l)) (cos (* PI l)))))) * * * * [misc]progress: [ 65 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ (* PI l) (pow F 2)) (* 1/3 (/ (* (pow PI 3) (pow l 3)) (pow F 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (379 enodes) * [exit]simplify: Simplified to (fma (* (/ (* PI l) (/ F l)) (/ (* PI PI) (/ F l))) 1/3 (* (/ l F) (/ PI F))) * [misc]simplify: Simplified (2 2) to (λ (F l) (- (* PI l) (fma (* (/ (* PI l) (/ F l)) (/ (* PI PI) (/ F l))) 1/3 (* (/ l F) (/ PI F))))) * * * * [misc]progress: [ 66 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin (* PI l)) (* (pow F 2) (cos (* PI l)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (/ (sin (* PI l)) (* (cos (* PI l)) (* F F))) * [misc]simplify: Simplified (2 2) to (λ (F l) (- (* PI l) (/ (sin (* PI l)) (* (cos (* PI l)) (* F F))))) * * * * [misc]progress: [ 67 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin (* PI l)) (* (pow F 2) (cos (* PI l)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (/ (sin (* PI l)) (* (cos (* PI l)) (* F F))) * [misc]simplify: Simplified (2 2) to (λ (F l) (- (* PI l) (/ (sin (* PI l)) (* (cos (* PI l)) (* F F))))) * * * * [misc]progress: [ 68 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (pow F 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (10 enodes) * [exit]simplify: Simplified to (/ 1 (* F F)) * [misc]simplify: Simplified (2 2 1) to (λ (F l) (- (* PI l) (* (/ 1 (* F F)) (tan (* PI l))))) * * * * [misc]progress: [ 69 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (pow F 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (10 enodes) * [exit]simplify: Simplified to (/ 1 (* F F)) * [misc]simplify: Simplified (2 2 1) to (λ (F l) (- (* PI l) (* (/ 1 (* F F)) (tan (* PI l))))) * * * * [misc]progress: [ 70 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (pow F 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (10 enodes) * [exit]simplify: Simplified to (/ 1 (* F F)) * [misc]simplify: Simplified (2 2 1) to (λ (F l) (- (* PI l) (* (/ 1 (* F F)) (tan (* PI l))))) * * * * [misc]progress: [ 71 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* PI l) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* PI l) * [misc]simplify: Simplified (2 2 2 1) to (λ (F l) (- (* PI l) (* (/ 1 (* F F)) (tan (* PI l))))) * * * * [misc]progress: [ 72 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* PI l) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* PI l) * [misc]simplify: Simplified (2 2 2 1) to (λ (F l) (- (* PI l) (* (/ 1 (* F F)) (tan (* PI l))))) * * * * [misc]progress: [ 73 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* PI l) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* PI l) * [misc]simplify: Simplified (2 2 2 1) to (λ (F l) (- (* PI l) (* (/ 1 (* F F)) (tan (* PI l))))) * * * [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) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (sin (* l PI)) in (l) around 0 * [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 PI) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into 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 PI) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow PI 1) 1))) into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow PI 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 1/6 (pow PI 3))) * [misc]backup-simplify: Simplify (- (* 1/6 (pow PI 3))) into (- (* 1/6 (pow PI 3))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow PI 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow PI 5) 120)) 0 (* -1 (/ (pow PI 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow PI 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into (* 1/120 (pow PI 5)) * [misc]backup-simplify: Simplify (* 1/120 (pow PI 5)) into (* 1/120 (pow PI 5)) * [misc]backup-simplify: Simplify (+ (* (* 1/120 (pow PI 5)) (pow l 5)) (+ (* (- (* 1/6 (pow PI 3))) (pow l 3)) (* PI l))) into (- (+ (* 1/120 (* (pow PI 5) (pow l 5))) (* PI l)) (* 1/6 (* (pow PI 3) (pow l 3)))) * [misc]approximate: Taking taylor expansion of (sin (* (/ 1 l) PI)) in (l) around 0 * [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 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 PI * [misc]backup-simplify: Simplify (sin (* (/ 1 l) PI)) into (sin (/ PI l)) * [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 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 PI * [misc]backup-simplify: Simplify (sin (* (/ 1 l) PI)) 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (/ 1 l))) into (sin (* PI l)) * [misc]approximate: Taking taylor expansion of (sin (* (/ 1 (- l)) PI)) in (l) around 0 * [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 -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 (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 -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]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 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sin (* -1 (/ PI (/ 1 (- l))))) into (sin (* PI l)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2 2) * [misc]approximate: Taking taylor expansion of (cos (* PI l)) in (l) around 0 * [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 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]taylor: Taking taylor expansion of (cos (* PI l)) in l * [misc]taylor: Taking taylor expansion of (* PI l) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [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 (/ (pow PI 2) 2)) 0) into (- (* 1/2 (pow PI 2))) * [misc]backup-simplify: Simplify (- (* 1/2 (pow PI 2))) into (- (* 1/2 (pow PI 2))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow PI 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow PI 4) 24)) 0 (* -1 (/ (pow PI 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into (* 1/24 (pow PI 4)) * [misc]backup-simplify: Simplify (* 1/24 (pow PI 4)) into (* 1/24 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* (* 1/24 (pow PI 4)) (pow l 4)) (+ (* (- (* 1/2 (pow PI 2))) (pow l 2)) 1)) into (- (+ (* 1/24 (* (pow PI 4) (pow l 4))) 1) (* 1/2 (* (pow PI 2) (pow l 2)))) * [misc]approximate: Taking taylor expansion of (cos (* PI (/ 1 l))) in (l) around 0 * [misc]taylor: Taking taylor expansion of (cos (* PI (/ 1 l))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 l)) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* PI 1) into PI * [misc]backup-simplify: Simplify (cos (* PI (/ 1 l))) into (cos (/ PI l)) * [misc]taylor: Taking taylor expansion of (cos (* PI (/ 1 l))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 l)) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* PI 1) into PI * [misc]backup-simplify: Simplify (cos (* PI (/ 1 l))) into (cos (/ 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (/ PI (/ 1 l))) into (cos (* PI l)) * [misc]approximate: Taking taylor expansion of (cos (* PI (/ 1 (- l)))) in (l) around 0 * [misc]taylor: Taking taylor expansion of (cos (* PI (/ 1 (- l)))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- l))) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (cos (* PI (/ 1 (- l)))) into (cos (* -1 (/ PI l))) * [misc]taylor: Taking taylor expansion of (cos (* PI (/ 1 (- l)))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- l))) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (cos (* PI (/ 1 (- l)))) into (cos (* -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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (* -1 (/ PI (/ 1 (- l))))) into (cos (* PI l)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (/ (sin (* l PI)) (* (* F F) (cos (* PI l)))) in (l F) around 0 * [misc]taylor: Taking taylor expansion of (/ (sin (* l PI)) (* (* F F) (cos (* PI l)))) in F * [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 (* (* F F) (cos (* PI l))) in F * [misc]taylor: Taking taylor expansion of (* F F) in F * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]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)) 1) into (sin (* PI l)) * [misc]backup-simplify: Simplify (* (cos (* PI l)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (* PI l)) 0) into (sin (* PI l)) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* (cos (* PI l)) 1) into (cos (* PI l)) * [misc]backup-simplify: Simplify (* (sin (* PI l)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* PI l)) 0) into (cos (* PI l)) * [misc]backup-simplify: Simplify (* 0 (cos (* PI l))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* PI l)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 l)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* PI l)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 (cos (* PI l)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* PI l)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 l))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* PI l)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (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 (/ (sin (* l PI)) (* (* F F) (cos (* PI l)))) in l * [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 PI) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]taylor: Taking taylor expansion of (* (* F F) (cos (* PI l))) in l * [misc]taylor: Taking taylor expansion of (* F F) in l * [misc]taylor: Taking taylor expansion of F in l * [misc]backup-simplify: Simplify F into F * [misc]taylor: Taking taylor expansion of F in l * [misc]backup-simplify: Simplify F into F * [misc]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 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow PI 1) 1))) into PI * [misc]backup-simplify: Simplify (* F F) into (pow F 2) * [misc]backup-simplify: Simplify (* (pow F 2) 1) into (pow F 2) * [misc]backup-simplify: Simplify (/ PI (pow F 2)) into (/ PI (pow F 2)) * [misc]taylor: Taking taylor expansion of (/ (sin (* l PI)) (* (* F F) (cos (* PI l)))) in l * [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 PI) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]taylor: Taking taylor expansion of (* (* F F) (cos (* PI l))) in l * [misc]taylor: Taking taylor expansion of (* F F) in l * [misc]taylor: Taking taylor expansion of F in l * [misc]backup-simplify: Simplify F into F * [misc]taylor: Taking taylor expansion of F in l * [misc]backup-simplify: Simplify F into F * [misc]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 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow PI 1) 1))) into PI * [misc]backup-simplify: Simplify (* F F) into (pow F 2) * [misc]backup-simplify: Simplify (* (pow F 2) 1) 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 1) into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* F 0) (* 0 F)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow F 2) 0) (* 0 1)) 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 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow PI 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 1/6 (pow PI 3))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow PI 2) 2)) 0) into (- (* 1/2 (pow PI 2))) * [misc]backup-simplify: Simplify (+ (* F 0) (+ (* 0 0) (* 0 F))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow F 2) (- (* 1/2 (pow PI 2)))) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (* (pow F 2) (pow PI 2)))) * [misc]backup-simplify: Simplify (- (/ (- (* 1/6 (pow PI 3))) (pow F 2)) (+ (* (/ PI (pow F 2)) (/ (- (* 1/2 (* (pow F 2) (pow PI 2)))) (pow F 2))) (* 0 (/ 0 (pow F 2))))) into (* 1/3 (/ (pow PI 3) (pow F 2))) * [misc]taylor: Taking taylor expansion of (* 1/3 (/ (pow PI 3) (pow F 2))) in F * [misc]taylor: Taking taylor expansion of 1/3 in F * [misc]backup-simplify: Simplify 1/3 into 1/3 * [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) 1) into (pow PI 3) * [misc]backup-simplify: Simplify (* 1/3 (pow PI 3)) into (* 1/3 (pow PI 3)) * [misc]backup-simplify: Simplify (* 1/3 (pow PI 3)) into (* 1/3 (pow PI 3)) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow PI 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow PI 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* F 0) (+ (* 0 0) (+ (* 0 0) (* 0 F)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow F 2) 0) (+ (* 0 (- (* 1/2 (pow PI 2)))) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow F 2)) (+ (* (/ PI (pow F 2)) (/ 0 (pow F 2))) (* 0 (/ (- (* 1/2 (* (pow F 2) (pow PI 2)))) (pow F 2))) (* (* 1/3 (/ (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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log PI))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow PI 3) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (pow PI 3))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow PI 5) 120)) 0 (* -1 (/ (pow PI 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow PI 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into (* 1/120 (pow PI 5)) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow PI 4) 24)) 0 (* -1 (/ (pow PI 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into (* 1/24 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* F 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 F))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow F 2) (* 1/24 (pow PI 4))) (+ (* 0 0) (+ (* 0 (- (* 1/2 (pow PI 2)))) (+ (* 0 0) (* 0 1))))) into (* 1/24 (* (pow F 2) (pow PI 4))) * [misc]backup-simplify: Simplify (- (/ (* 1/120 (pow PI 5)) (pow F 2)) (+ (* (/ PI (pow F 2)) (/ (* 1/24 (* (pow F 2) (pow PI 4))) (pow F 2))) (* 0 (/ 0 (pow F 2))) (* (* 1/3 (/ (pow PI 3) (pow F 2))) (/ (- (* 1/2 (* (pow F 2) (pow PI 2)))) (pow F 2))) (* 0 (/ 0 (pow F 2))))) into (* 2/15 (/ (pow PI 5) (pow F 2))) * [misc]taylor: Taking taylor expansion of (* 2/15 (/ (pow PI 5) (pow F 2))) in F * [misc]taylor: Taking taylor expansion of 2/15 in F * [misc]backup-simplify: Simplify 2/15 into 2/15 * [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) 1) into (pow PI 5) * [misc]backup-simplify: Simplify (* 2/15 (pow PI 5)) into (* 2/15 (pow PI 5)) * [misc]backup-simplify: Simplify (* 2/15 (pow PI 5)) into (* 2/15 (pow PI 5)) * [misc]backup-simplify: Simplify (+ (* (* 2/15 (pow PI 5)) (* (pow F -2) (pow l 5))) (+ (* (* 1/3 (pow PI 3)) (* (pow F -2) (pow l 3))) (* PI (* (pow F -2) l)))) into (+ (/ (* PI l) (pow F 2)) (+ (* 2/15 (/ (* (pow PI 5) (pow l 5)) (pow F 2))) (* 1/3 (/ (* (pow PI 3) (pow l 3)) (pow F 2))))) * [misc]approximate: Taking taylor expansion of (/ (sin (* (/ 1 l) PI)) (* (* (/ 1 F) (/ 1 F)) (cos (* PI (/ 1 l))))) in (l F) around 0 * [misc]taylor: Taking taylor expansion of (/ (sin (* (/ 1 l) PI)) (* (* (/ 1 F) (/ 1 F)) (cos (* PI (/ 1 l))))) in F * [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 (* (* (/ 1 F) (/ 1 F)) (cos (* PI (/ 1 l)))) in F * [misc]taylor: Taking taylor expansion of (* (/ 1 F) (/ 1 F)) in F * [misc]taylor: Taking taylor expansion of (/ 1 F) in F * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 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 1) into 1 * [misc]taylor: Taking taylor expansion of (cos (* PI (/ 1 l))) in F * [misc]taylor: Taking taylor expansion of (* PI (/ 1 l)) in F * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 l) in F * [misc]taylor: Taking taylor expansion of l in F * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ 1 l) into (/ 1 l) * [misc]backup-simplify: Simplify (* PI (/ 1 l)) into (/ PI l) * [misc]backup-simplify: Simplify (cos (/ PI l)) into (cos (/ PI l)) * [misc]backup-simplify: Simplify (sin (/ PI l)) into (sin (/ PI l)) * [misc]backup-simplify: Simplify (* (sin (/ PI l)) 1) into (sin (/ PI l)) * [misc]backup-simplify: Simplify (* (cos (/ PI l)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ PI l)) 0) into (sin (/ PI l)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (cos (/ PI l)) 1) into (cos (/ PI l)) * [misc]backup-simplify: Simplify (* (sin (/ PI l)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ PI l)) 0) into (cos (/ PI l)) * [misc]backup-simplify: Simplify (* 1 (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 (/ (sin (* (/ 1 l) PI)) (* (* (/ 1 F) (/ 1 F)) (cos (* PI (/ 1 l))))) in l * [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 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 PI * [misc]backup-simplify: Simplify (sin (* (/ 1 l) PI)) into (sin (/ PI l)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 F) (/ 1 F)) (cos (* PI (/ 1 l)))) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 F) (/ 1 F)) in l * [misc]taylor: Taking taylor expansion of (/ 1 F) in l * [misc]taylor: Taking taylor expansion of F in l * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify (/ 1 F) into (/ 1 F) * [misc]taylor: Taking taylor expansion of (/ 1 F) in l * [misc]taylor: Taking taylor expansion of F in l * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify (/ 1 F) into (/ 1 F) * [misc]taylor: Taking taylor expansion of (cos (* PI (/ 1 l))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 l)) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* PI 1) into PI * [misc]backup-simplify: Simplify (cos (* PI (/ 1 l))) into (cos (/ PI l)) * [misc]backup-simplify: Simplify (* (/ 1 F) (/ 1 F)) into (/ 1 (pow F 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow F 2)) (cos (/ PI l))) into (/ (cos (/ PI l)) (pow F 2)) * [misc]backup-simplify: Simplify (/ (sin (/ PI l)) (/ (cos (/ PI l)) (pow F 2))) into (/ (* (pow F 2) (sin (/ PI l))) (cos (/ PI l))) * [misc]taylor: Taking taylor expansion of (/ (sin (* (/ 1 l) PI)) (* (* (/ 1 F) (/ 1 F)) (cos (* PI (/ 1 l))))) in l * [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 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 PI * [misc]backup-simplify: Simplify (sin (* (/ 1 l) PI)) into (sin (/ PI l)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 F) (/ 1 F)) (cos (* PI (/ 1 l)))) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 F) (/ 1 F)) in l * [misc]taylor: Taking taylor expansion of (/ 1 F) in l * [misc]taylor: Taking taylor expansion of F in l * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify (/ 1 F) into (/ 1 F) * [misc]taylor: Taking taylor expansion of (/ 1 F) in l * [misc]taylor: Taking taylor expansion of F in l * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify (/ 1 F) into (/ 1 F) * [misc]taylor: Taking taylor expansion of (cos (* PI (/ 1 l))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 l)) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* PI 1) into PI * [misc]backup-simplify: Simplify (cos (* PI (/ 1 l))) into (cos (/ PI l)) * [misc]backup-simplify: Simplify (* (/ 1 F) (/ 1 F)) into (/ 1 (pow F 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow F 2)) (cos (/ PI l))) into (/ (cos (/ PI l)) (pow F 2)) * [misc]backup-simplify: Simplify (/ (sin (/ PI l)) (/ (cos (/ PI l)) (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)) 1) into (sin (/ PI l)) * [misc]backup-simplify: Simplify (* (cos (/ PI l)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ PI l)) 0) into (sin (/ PI l)) * [misc]backup-simplify: Simplify (* 1 (sin (/ PI l))) into (sin (/ PI l)) * [misc]backup-simplify: Simplify (* (cos (/ PI l)) 1) into (cos (/ PI l)) * [misc]backup-simplify: Simplify (* (sin (/ PI l)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ PI l)) 0) 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 (- (+ (* (/ 1 F) (/ 0 F)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 F) (/ 0 F)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 F) 0) (* 0 (/ 1 F))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow F 2)) 0) (* 0 (cos (/ PI l)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ (cos (/ PI l)) (pow F 2))) (+ (* (/ (* (pow F 2) (sin (/ PI l))) (cos (/ PI l))) (/ 0 (/ (cos (/ PI l)) (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 (+ (* (sin (/ PI l)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 l) (+ (* (/ PI l) (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ PI l)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (sin (/ PI l)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ PI l)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 l) (+ (* (/ PI l) (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ PI l)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 F) (/ 0 F)) (* 0 (/ 0 F)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 F) (/ 0 F)) (* 0 (/ 0 F)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 F) 0) (+ (* 0 0) (* 0 (/ 1 F)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow F 2)) 0) (+ (* 0 0) (* 0 (cos (/ PI l))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ (cos (/ PI l)) (pow F 2))) (+ (* (/ (* (pow F 2) (sin (/ PI l))) (cos (/ PI l))) (/ 0 (/ (cos (/ PI l)) (pow F 2)))) (* 0 (/ 0 (/ (cos (/ PI l)) (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 (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ PI l)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 l) (+ (* (/ PI l) (/ 0 l)) (* 0 (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ PI l)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sin (/ PI l))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ PI l)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 l) (+ (* (/ PI l) (/ 0 l)) (* 0 (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ PI l)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ PI l))) (+ (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l)))) (* 0 (/ 0 (cos (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 F) (/ 0 F)) (* 0 (/ 0 F)) (* 0 (/ 0 F)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 F) (/ 0 F)) (* 0 (/ 0 F)) (* 0 (/ 0 F)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 F) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 F))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow F 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ (cos (/ PI l)) (pow F 2))) (+ (* (/ (* (pow F 2) (sin (/ PI l))) (cos (/ PI l))) (/ 0 (/ (cos (/ PI l)) (pow F 2)))) (* 0 (/ 0 (/ (cos (/ PI l)) (pow F 2)))) (* 0 (/ 0 (/ (cos (/ PI l)) (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) 1) 2)) into (/ (sin (* PI l)) (* (pow F 2) (cos (* PI l)))) * [misc]approximate: Taking taylor expansion of (/ (sin (* (/ 1 (- l)) PI)) (* (* (/ 1 (- F)) (/ 1 (- F))) (cos (* PI (/ 1 (- l)))))) in (l F) around 0 * [misc]taylor: Taking taylor expansion of (/ (sin (* (/ 1 (- l)) PI)) (* (* (/ 1 (- F)) (/ 1 (- F))) (cos (* PI (/ 1 (- l)))))) in F * [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 (* -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 (* (* (/ 1 (- F)) (/ 1 (- F))) (cos (* PI (/ 1 (- l))))) in F * [misc]taylor: Taking taylor expansion of (* (/ 1 (- F)) (/ 1 (- F))) in F * [misc]taylor: Taking taylor expansion of (/ 1 (- F)) in F * [misc]taylor: Taking taylor expansion of (- F) in F * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -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 -1) into -1 * [misc]taylor: Taking taylor expansion of (cos (* PI (/ 1 (- l)))) in F * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- l))) in F * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in F * [misc]taylor: Taking taylor expansion of (- l) in F * [misc]taylor: Taking taylor expansion of l in F * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (/ 1 (- l)) into (/ -1 l) * [misc]backup-simplify: Simplify (* PI (/ -1 l)) into (* -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))) 1) into (sin (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (* (cos (* -1 (/ PI l))) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (* -1 (/ PI l))) 0) into (sin (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* (cos (* -1 (/ PI l))) 1) into (cos (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (* (sin (* -1 (/ PI l))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* -1 (/ PI l))) 0) into (cos (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (* 1 (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]taylor: Taking taylor expansion of (/ (sin (* (/ 1 (- l)) PI)) (* (* (/ 1 (- F)) (/ 1 (- F))) (cos (* PI (/ 1 (- l)))))) in l * [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 -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 (* (* (/ 1 (- F)) (/ 1 (- F))) (cos (* PI (/ 1 (- l))))) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 (- F)) (/ 1 (- F))) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- F)) in l * [misc]taylor: Taking taylor expansion of (- F) in l * [misc]taylor: Taking taylor expansion of F in l * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify (- F) into (- F) * [misc]backup-simplify: Simplify (- F) into (- F) * [misc]backup-simplify: Simplify (/ 1 (- F)) into (/ -1 F) * [misc]taylor: Taking taylor expansion of (/ 1 (- F)) in l * [misc]taylor: Taking taylor expansion of (- F) in l * [misc]taylor: Taking taylor expansion of F in l * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify (- F) into (- F) * [misc]backup-simplify: Simplify (- F) into (- F) * [misc]backup-simplify: Simplify (/ 1 (- F)) into (/ -1 F) * [misc]taylor: Taking taylor expansion of (cos (* PI (/ 1 (- l)))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- l))) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (cos (* PI (/ 1 (- l)))) into (cos (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (* (/ -1 F) (/ -1 F)) into (/ 1 (pow F 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow F 2)) (cos (* -1 (/ PI l)))) into (/ (cos (* -1 (/ PI l))) (pow F 2)) * [misc]backup-simplify: Simplify (/ (sin (* -1 (/ PI l))) (/ (cos (* -1 (/ PI l))) (pow F 2))) into (/ (* (pow F 2) (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l)))) * [misc]taylor: Taking taylor expansion of (/ (sin (* (/ 1 (- l)) PI)) (* (* (/ 1 (- F)) (/ 1 (- F))) (cos (* PI (/ 1 (- l)))))) in l * [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 -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 (* (* (/ 1 (- F)) (/ 1 (- F))) (cos (* PI (/ 1 (- l))))) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 (- F)) (/ 1 (- F))) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- F)) in l * [misc]taylor: Taking taylor expansion of (- F) in l * [misc]taylor: Taking taylor expansion of F in l * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify (- F) into (- F) * [misc]backup-simplify: Simplify (- F) into (- F) * [misc]backup-simplify: Simplify (/ 1 (- F)) into (/ -1 F) * [misc]taylor: Taking taylor expansion of (/ 1 (- F)) in l * [misc]taylor: Taking taylor expansion of (- F) in l * [misc]taylor: Taking taylor expansion of F in l * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify (- F) into (- F) * [misc]backup-simplify: Simplify (- F) into (- F) * [misc]backup-simplify: Simplify (/ 1 (- F)) into (/ -1 F) * [misc]taylor: Taking taylor expansion of (cos (* PI (/ 1 (- l)))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- l))) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (cos (* PI (/ 1 (- l)))) into (cos (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (* (/ -1 F) (/ -1 F)) into (/ 1 (pow F 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow F 2)) (cos (* -1 (/ PI l)))) into (/ (cos (* -1 (/ PI l))) (pow F 2)) * [misc]backup-simplify: Simplify (/ (sin (* -1 (/ PI l))) (/ (cos (* -1 (/ PI l))) (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))) 1) into (sin (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (* (cos (* -1 (/ PI l))) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (* -1 (/ PI l))) 0) into (sin (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (* 1 (sin (* -1 (/ PI l)))) into (sin (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (* (cos (* -1 (/ PI l))) 1) into (cos (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (* (sin (* -1 (/ PI l))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* -1 (/ PI l))) 0) 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) 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 (+ (* (/ -1 F) 0) (* 0 (/ -1 F))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow F 2)) 0) (* 0 (cos (* -1 (/ PI l))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ (cos (* -1 (/ PI l))) (pow F 2))) (+ (* (/ (* (pow F 2) (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l)))) (/ 0 (/ (cos (* -1 (/ PI l))) (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 (+ (* (sin (* -1 (/ PI l))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 l) (+ (* (/ PI l) (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ PI l))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1 (/ PI l))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (sin (* -1 (/ PI l))))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1 (/ PI l))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 l) (+ (* (/ PI l) (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ PI l))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1 (/ PI l))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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) 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))) (* 0 (/ 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))) (* 0 (/ 0 (- F))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 F) 0) (+ (* 0 0) (* 0 (/ -1 F)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow F 2)) 0) (+ (* 0 0) (* 0 (cos (* -1 (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ (cos (* -1 (/ PI l))) (pow F 2))) (+ (* (/ (* (pow F 2) (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l)))) (/ 0 (/ (cos (* -1 (/ PI l))) (pow F 2)))) (* 0 (/ 0 (/ (cos (* -1 (/ PI l))) (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 (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1 (/ PI l))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 l) (+ (* (/ PI l) (/ 0 l)) (* 0 (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ PI l)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1 (/ PI l))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sin (* -1 (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1 (/ PI l))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 l) (+ (* (/ PI l) (/ 0 l)) (* 0 (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ PI l)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1 (/ PI l))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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))))) (* 0 (/ 0 (cos (* -1 (/ PI l))))))) into 0 * [misc]backup-simplify: Simplify 0 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))) (* 0 (/ 0 (- F))) (* 0 (/ 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))) (* 0 (/ 0 (- F))) (* 0 (/ 0 (- F))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 F) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 F))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow F 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* -1 (/ PI l))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ (cos (* -1 (/ PI l))) (pow F 2))) (+ (* (/ (* (pow F 2) (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l)))) (/ 0 (/ (cos (* -1 (/ PI l))) (pow F 2)))) (* 0 (/ 0 (/ (cos (* -1 (/ PI l))) (pow F 2)))) (* 0 (/ 0 (/ (cos (* -1 (/ PI l))) (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)) 1) 2)) into (/ (sin (* PI l)) (* (pow F 2) (cos (* PI l)))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (* (* F F) (cos (* PI l))) in (F l) around 0 * [misc]taylor: Taking taylor expansion of (* (* F F) (cos (* PI l))) in l * [misc]taylor: Taking taylor expansion of (* F F) in l * [misc]taylor: Taking taylor expansion of F in l * [misc]backup-simplify: Simplify F into F * [misc]taylor: Taking taylor expansion of F in l * [misc]backup-simplify: Simplify F into F * [misc]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 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]taylor: Taking taylor expansion of (* (* F F) (cos (* PI l))) in F * [misc]taylor: Taking taylor expansion of (* F F) in F * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]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]taylor: Taking taylor expansion of (* (* F F) (cos (* PI l))) in F * [misc]taylor: Taking taylor expansion of (* F F) in F * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]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 (* 0 0) into 0 * [misc]backup-simplify: Simplify (* (cos (* PI l)) 1) into (cos (* PI l)) * [misc]backup-simplify: Simplify (* (sin (* PI l)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* PI l)) 0) into (cos (* PI l)) * [misc]backup-simplify: Simplify (* 0 (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 (+ (* (cos (* PI l)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 l)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* PI l)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 (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 (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* PI l)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 l))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* PI l)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (cos (* PI l))))) into (cos (* PI l)) * [misc]taylor: Taking taylor expansion of (cos (* PI l)) in l * [misc]taylor: Taking taylor expansion of (* PI l) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [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 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* PI l)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* PI l)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 (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 (* 1 (pow (* 1 F) 2)) into (pow F 2) * [misc]approximate: Taking taylor expansion of (* (* (/ 1 F) (/ 1 F)) (cos (* PI (/ 1 l)))) in (F l) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 F) (/ 1 F)) (cos (* PI (/ 1 l)))) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 F) (/ 1 F)) in l * [misc]taylor: Taking taylor expansion of (/ 1 F) in l * [misc]taylor: Taking taylor expansion of F in l * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify (/ 1 F) into (/ 1 F) * [misc]taylor: Taking taylor expansion of (/ 1 F) in l * [misc]taylor: Taking taylor expansion of F in l * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify (/ 1 F) into (/ 1 F) * [misc]taylor: Taking taylor expansion of (cos (* PI (/ 1 l))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 l)) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* PI 1) into PI * [misc]backup-simplify: Simplify (cos (* PI (/ 1 l))) into (cos (/ PI l)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 F) (/ 1 F)) (cos (* PI (/ 1 l)))) in F * [misc]taylor: Taking taylor expansion of (* (/ 1 F) (/ 1 F)) in F * [misc]taylor: Taking taylor expansion of (/ 1 F) in F * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 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 1) into 1 * [misc]taylor: Taking taylor expansion of (cos (* PI (/ 1 l))) in F * [misc]taylor: Taking taylor expansion of (* PI (/ 1 l)) in F * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 l) in F * [misc]taylor: Taking taylor expansion of l in F * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ 1 l) into (/ 1 l) * [misc]backup-simplify: Simplify (* PI (/ 1 l)) into (/ PI l) * [misc]backup-simplify: Simplify (cos (/ PI l)) into (cos (/ PI l)) * [misc]backup-simplify: Simplify (sin (/ PI l)) into (sin (/ PI l)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 F) (/ 1 F)) (cos (* PI (/ 1 l)))) in F * [misc]taylor: Taking taylor expansion of (* (/ 1 F) (/ 1 F)) in F * [misc]taylor: Taking taylor expansion of (/ 1 F) in F * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 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 1) into 1 * [misc]taylor: Taking taylor expansion of (cos (* PI (/ 1 l))) in F * [misc]taylor: Taking taylor expansion of (* PI (/ 1 l)) in F * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 l) in F * [misc]taylor: Taking taylor expansion of l in F * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ 1 l) into (/ 1 l) * [misc]backup-simplify: Simplify (* PI (/ 1 l)) into (/ PI l) * [misc]backup-simplify: Simplify (cos (/ PI l)) into (cos (/ PI l)) * [misc]backup-simplify: Simplify (sin (/ PI l)) into (sin (/ PI l)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (cos (/ PI l)) 1) into (cos (/ PI l)) * [misc]backup-simplify: Simplify (* (sin (/ PI l)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ PI l)) 0) into (cos (/ PI l)) * [misc]backup-simplify: Simplify (* 1 (cos (/ PI l))) into (cos (/ PI l)) * [misc]taylor: Taking taylor expansion of (cos (/ PI l)) in l * [misc]taylor: Taking taylor expansion of (/ PI l) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (cos (/ PI l)) into (cos (/ PI l)) * [misc]backup-simplify: Simplify (cos (/ PI l)) into (cos (/ PI l)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ PI l)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 l) (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (/ 1 l))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ PI l)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (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 (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ PI l)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 l) (/ 0 l)) (* 0 (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (/ 1 l)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ PI l)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (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 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ PI l)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 l) (/ 0 l)) (* 0 (/ 0 l)) (* 0 (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 l))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ PI l)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (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))) (pow (* 1 (/ 1 (/ 1 F))) 2)) into (* (cos (* PI l)) (pow F 2)) * [misc]approximate: Taking taylor expansion of (* (* (/ 1 (- F)) (/ 1 (- F))) (cos (* PI (/ 1 (- l))))) in (F l) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- F)) (/ 1 (- F))) (cos (* PI (/ 1 (- l))))) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 (- F)) (/ 1 (- F))) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- F)) in l * [misc]taylor: Taking taylor expansion of (- F) in l * [misc]taylor: Taking taylor expansion of F in l * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify (- F) into (- F) * [misc]backup-simplify: Simplify (- F) into (- F) * [misc]backup-simplify: Simplify (/ 1 (- F)) into (/ -1 F) * [misc]taylor: Taking taylor expansion of (/ 1 (- F)) in l * [misc]taylor: Taking taylor expansion of (- F) in l * [misc]taylor: Taking taylor expansion of F in l * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify (- F) into (- F) * [misc]backup-simplify: Simplify (- F) into (- F) * [misc]backup-simplify: Simplify (/ 1 (- F)) into (/ -1 F) * [misc]taylor: Taking taylor expansion of (cos (* PI (/ 1 (- l)))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- l))) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (cos (* PI (/ 1 (- l)))) into (cos (* -1 (/ PI l))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- F)) (/ 1 (- F))) (cos (* PI (/ 1 (- l))))) in F * [misc]taylor: Taking taylor expansion of (* (/ 1 (- F)) (/ 1 (- F))) in F * [misc]taylor: Taking taylor expansion of (/ 1 (- F)) in F * [misc]taylor: Taking taylor expansion of (- F) in F * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -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 -1) into -1 * [misc]taylor: Taking taylor expansion of (cos (* PI (/ 1 (- l)))) in F * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- l))) in F * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in F * [misc]taylor: Taking taylor expansion of (- l) in F * [misc]taylor: Taking taylor expansion of l in F * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (/ 1 (- l)) into (/ -1 l) * [misc]backup-simplify: Simplify (* PI (/ -1 l)) into (* -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]taylor: Taking taylor expansion of (* (* (/ 1 (- F)) (/ 1 (- F))) (cos (* PI (/ 1 (- l))))) in F * [misc]taylor: Taking taylor expansion of (* (/ 1 (- F)) (/ 1 (- F))) in F * [misc]taylor: Taking taylor expansion of (/ 1 (- F)) in F * [misc]taylor: Taking taylor expansion of (- F) in F * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -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 -1) into -1 * [misc]taylor: Taking taylor expansion of (cos (* PI (/ 1 (- l)))) in F * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- l))) in F * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in F * [misc]taylor: Taking taylor expansion of (- l) in F * [misc]taylor: Taking taylor expansion of l in F * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (/ 1 (- l)) into (/ -1 l) * [misc]backup-simplify: Simplify (* PI (/ -1 l)) into (* -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 (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* (cos (* -1 (/ PI l))) 1) into (cos (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (* (sin (* -1 (/ PI l))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* -1 (/ PI l))) 0) into (cos (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (* 1 (cos (* -1 (/ PI l)))) into (cos (* -1 (/ PI l))) * [misc]taylor: Taking taylor expansion of (cos (* -1 (/ PI l))) in l * [misc]taylor: Taking taylor expansion of (* -1 (/ PI l)) in l * [misc]taylor: Taking taylor expansion of -1 in l * [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 (/ PI 1) into PI * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (cos (* -1 (/ PI l))) into (cos (* -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 (+ (* (cos (* -1 (/ PI l))) 0) (* 0 1)) 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 (+ (* PI 0) (* 0 (/ -1 l))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1 (/ PI l))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (cos (* -1 (/ 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 (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1 (/ PI l))) 0) (+ (* 0 0) (* 0 1))) 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))) (* 0 (/ 0 (- l))))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (/ -1 l)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1 (/ PI l))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (cos (* -1 (/ 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 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1 (/ PI l))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) 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))) (* 0 (/ 0 (- l))) (* 0 (/ 0 (- l))))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 l))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1 (/ PI l))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* -1 (/ 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 (* -1 (/ PI (/ 1 (- l))))) (pow (* 1 (/ 1 (/ 1 (- F)))) 2)) into (* (cos (* PI l)) (pow F 2)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (sin (* l PI))) (+ (log (* F F)) (log (cos (* PI l))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (152 enodes) * [exit]simplify: Simplified to (- (log (sin (* l PI))) (+ (log (* F F)) (log (cos (* l PI))))) * [misc]simplify: Simplified (2 2 1) to (λ (F l) (- (* PI l) (exp (- (log (sin (* l PI))) (+ (log (* F F)) (log (cos (* l PI)))))))) * * * * [misc]progress: [ 23 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (sin (* l PI))) (log (* (* F F) (cos (* PI l))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (140 enodes) * [exit]simplify: Simplified to (- (log (sin (* l PI))) (log (* (* F F) (cos (* l PI))))) * [misc]simplify: Simplified (2 2 1) to (λ (F l) (- (* PI l) (exp (- (log (sin (* l PI))) (log (* (* F F) (cos (* l PI)))))))) * * * * [misc]progress: [ 24 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (sin (* l PI)) (sin (* l PI))) (sin (* l PI))) (* (* (* (* F F) (* F F)) (* F F)) (* (* (cos (* PI l)) (cos (* PI l))) (cos (* PI l))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * [exit]simplify: Simplified to (* (* (/ (sin (* l PI)) (* F F)) (/ (sin (* l PI)) (* (* F F) (* F F)))) (/ (/ (sin (* l PI)) (cos (* l PI))) (* (cos (* l PI)) (cos (* l PI))))) * [misc]simplify: Simplified (2 2 1) to (λ (F l) (- (* PI l) (cbrt (* (* (/ (sin (* l PI)) (* F F)) (/ (sin (* l PI)) (* (* F F) (* F F)))) (/ (/ (sin (* l PI)) (cos (* l PI))) (* (cos (* l PI)) (cos (* l PI)))))))) * * * * [misc]progress: [ 27 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (sin (* l PI)) (sin (* l PI))) (sin (* l PI))) (* (* (* (* F F) (cos (* PI l))) (* (* F F) (cos (* PI l)))) (* (* F F) (cos (* PI l))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (122 enodes) * [exit]simplify: Simplified to (/ (* (* (sin (* l PI)) (sin (* l PI))) (/ (sin (* l PI)) (cos (* l PI)))) (* (* (cos (* l PI)) (* F (* F F))) (* (cos (* l PI)) (* F (* F F))))) * [misc]simplify: Simplified (2 2 1) to (λ (F l) (- (* PI l) (cbrt (/ (* (* (sin (* l PI)) (sin (* l PI))) (/ (sin (* l PI)) (cos (* l PI)))) (* (* (cos (* l PI)) (* F (* F F))) (* (cos (* l PI)) (* F (* F F)))))))) * * * * [misc]progress: [ 28 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sin (* l PI))) (cbrt (sin (* l PI)))) (* F F)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sin (* l PI))) F) (/ (cbrt (sin (* l PI))) F)) * [misc]simplify: Simplified (2 2 1) to (λ (F l) (- (* PI l) (* (* (/ (cbrt (sin (* l PI))) F) (/ (cbrt (sin (* l PI))) F)) (/ (cbrt (sin (* l PI))) (cos (* PI l)))))) * [enter]simplify: Simplifying (/ (cbrt (sin (* l PI))) (cos (* PI l))) * * [misc]simplify: iters left: 6 (8 enodes) * [exit]simplify: Simplified to (/ (cbrt (sin (* l PI))) (cos (* l PI))) * [misc]simplify: Simplified (2 2 2) to (λ (F l) (- (* PI l) (* (/ (* (cbrt (sin (* l PI))) (cbrt (sin (* l PI)))) (* F F)) (/ (cbrt (sin (* l PI))) (cos (* l PI)))))) * * * * [misc]progress: [ 33 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sin (* l PI))) (* F F)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (sin (* l PI))) (* F F)) * [misc]simplify: Simplified (2 2 1) to (λ (F l) (- (* PI l) (* (/ (sqrt (sin (* l PI))) (* F F)) (/ (sqrt (sin (* l PI))) (cos (* PI l)))))) * [enter]simplify: Simplifying (/ (sqrt (sin (* l PI))) (cos (* PI l))) * * [misc]simplify: iters left: 6 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (sin (* l PI))) (cos (* l PI))) * [misc]simplify: Simplified (2 2 2) to (λ (F l) (- (* PI l) (* (/ (sqrt (sin (* l PI))) (* F F)) (/ (sqrt (sin (* l PI))) (cos (* l PI)))))) * * * * [misc]progress: [ 34 / 70 ] 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)) * [misc]simplify: Simplified (2 2 1) to (λ (F l) (- (* PI l) (* (/ 1 (* F F)) (/ (sin (* l PI)) (cos (* PI l)))))) * [enter]simplify: Simplifying (/ (sin (* l PI)) (cos (* PI l))) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (/ (sin (* l PI)) (cos (* l PI))) * [misc]simplify: Simplified (2 2 2) to (λ (F l) (- (* PI l) (* (/ 1 (* F F)) (/ (sin (* l PI)) (cos (* l PI)))))) * * * * [misc]progress: [ 35 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (cos (* PI l)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cos (* PI l)) * [misc]simplify: Simplified (2 2 2) to (λ (F l) (- (* PI l) (/ (/ (sin (* l PI)) (* F F)) (cos (* PI l))))) * * * * [misc]progress: [ 39 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sin (* l PI))) (cbrt (sin (* l PI)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (sin (* l PI))) (cbrt (sin (* l PI)))) * [misc]simplify: Simplified (2 2 1) to (λ (F l) (- (* PI l) (/ (* (cbrt (sin (* l PI))) (cbrt (sin (* l PI)))) (/ (* (* F F) (cos (* PI l))) (cbrt (sin (* l PI))))))) * * * * [misc]progress: [ 40 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sin (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (sin (* l PI))) * [misc]simplify: Simplified (2 2 1) to (λ (F l) (- (* PI l) (/ (sqrt (sin (* l PI))) (/ (* (* F F) (cos (* PI l))) (sqrt (sin (* l PI))))))) * * * * [misc]progress: [ 41 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* F F) (cos (* PI l))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * [exit]simplify: Simplified to (* (cos (* PI l)) (* F F)) * [misc]simplify: Simplified (2 2 2 1) to (λ (F l) (- (* PI l) (/ (sin (* l PI)) (pow (* (cos (* PI l)) (* F F)) 1)))) * * * * [misc]progress: [ 45 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* F F)) (log (cos (* PI l)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (+ (log (cos (* PI l))) (log (* F F))) * [misc]simplify: Simplified (2 2 2 1) to (λ (F l) (- (* PI l) (/ (sin (* l PI)) (exp (+ (log (cos (* PI l))) (log (* F F))))))) * * * * [misc]progress: [ 47 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* F F) (* F F)) (* F F)) (* (* (cos (* PI l)) (cos (* PI l))) (cos (* PI l)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (179 enodes) * * [misc]simplify: iters left: 2 (401 enodes) * [exit]simplify: Simplified to (* (* (cos (* PI l)) (cos (* PI l))) (* (pow (* F F) 3) (cos (* PI l)))) * [misc]simplify: Simplified (2 2 2 1) to (λ (F l) (- (* PI l) (/ (sin (* l PI)) (cbrt (* (* (cos (* PI l)) (cos (* PI l))) (* (pow (* F F) 3) (cos (* PI l)))))))) * * * * [misc]progress: [ 50 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cos (* PI l))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (cos (* PI l))) * [misc]simplify: Simplified (2 2 2 2) to (λ (F l) (- (* PI l) (/ (sin (* l PI)) (* (* (* F F) (* (cbrt (cos (* PI l))) (cbrt (cos (* PI l))))) (cbrt (cos (* PI l))))))) * * * * [misc]progress: [ 55 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cos (* PI l))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (cos (* PI l))) * [misc]simplify: Simplified (2 2 2 2) to (λ (F l) (- (* PI l) (/ (sin (* l PI)) (* (* (* F F) (sqrt (cos (* PI l)))) (sqrt (cos (* PI l))))))) * * * * [misc]progress: [ 56 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (cos (* PI l)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cos (* PI l)) * [misc]simplify: Simplified (2 2 2 2) to (λ (F l) (- (* PI l) (/ (sin (* l PI)) (* (* (* F F) 1) (cos (* PI l)))))) * * * * [misc]progress: [ 57 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/120 (* (pow PI 5) (pow l 5))) (* PI l)) (* 1/6 (* (pow PI 3) (pow l 3)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (309 enodes) * [exit]simplify: Simplified to (- (fma 1/120 (* (pow PI 5) (pow l 5)) (* PI l)) (* (* (* l l) (* PI l)) (* (* PI PI) 1/6))) * [misc]simplify: Simplified (2 2 1) to (λ (F l) (- (* PI l) (/ (- (fma 1/120 (* (pow PI 5) (pow l 5)) (* PI l)) (* (* (* l l) (* PI l)) (* (* PI PI) 1/6))) (* (* F F) (cos (* PI l)))))) * * * * [misc]progress: [ 60 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (sin (* PI l)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sin (* PI l)) * [misc]simplify: Simplified (2 2 1) to (λ (F l) (- (* PI l) (/ (sin (* PI l)) (* (* F F) (cos (* PI l)))))) * * * * [misc]progress: [ 61 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (sin (* PI l)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sin (* PI l)) * [misc]simplify: Simplified (2 2 1) to (λ (F l) (- (* PI l) (/ (sin (* PI l)) (* (* F F) (cos (* PI l)))))) * * * * [misc]progress: [ 62 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/24 (* (pow PI 4) (pow l 4))) 1) (* 1/2 (* (pow PI 2) (pow l 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (197 enodes) * * [misc]simplify: iters left: 2 (426 enodes) * [exit]simplify: Simplified to (- (fma 1/24 (* (pow PI 4) (pow l 4)) 1) (* 1/2 (* (* PI l) (* PI l)))) * [misc]simplify: Simplified (2 2 2 2) to (λ (F l) (- (* PI l) (/ (sin (* l PI)) (* (* F F) (- (fma 1/24 (* (pow PI 4) (pow l 4)) 1) (* 1/2 (* (* PI l) (* PI l)))))))) * * * * [misc]progress: [ 63 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (cos (* PI l)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cos (* PI l)) * [misc]simplify: Simplified (2 2 2 2) to (λ (F l) (- (* PI l) (/ (sin (* l PI)) (* (* F F) (cos (* PI l)))))) * * * * [misc]progress: [ 64 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (cos (* PI l)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cos (* PI l)) * [misc]simplify: Simplified (2 2 2 2) to (λ (F l) (- (* PI l) (/ (sin (* l PI)) (* (* F F) (cos (* PI l)))))) * * * * [misc]progress: [ 65 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ (* PI l) (pow F 2)) (+ (* 2/15 (/ (* (pow PI 5) (pow l 5)) (pow F 2))) (* 1/3 (/ (* (pow PI 3) (pow l 3)) (pow F 2))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * [exit]simplify: Simplified to (fma 1/3 (/ (* (* PI l) (* PI PI)) (* (/ F l) (/ F l))) (+ (/ (* PI l) (* F F)) (/ (* (pow PI 5) 2/15) (/ (* F F) (pow l 5))))) * [misc]simplify: Simplified (2 2) to (λ (F l) (- (* PI l) (fma 1/3 (/ (* (* PI l) (* PI PI)) (* (/ F l) (/ F l))) (+ (/ (* PI l) (* F F)) (/ (* (pow PI 5) 2/15) (/ (* F F) (pow l 5))))))) * * * * [misc]progress: [ 66 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin (* PI l)) (* (pow F 2) (cos (* PI l)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (/ (sin (* PI l)) (* (cos (* PI l)) (* F F))) * [misc]simplify: Simplified (2 2) to (λ (F l) (- (* PI l) (/ (sin (* PI l)) (* (cos (* PI l)) (* F F))))) * * * * [misc]progress: [ 67 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin (* PI l)) (* (pow F 2) (cos (* PI l)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (/ (sin (* PI l)) (* (cos (* PI l)) (* F F))) * [misc]simplify: Simplified (2 2) to (λ (F l) (- (* PI l) (/ (sin (* PI l)) (* (cos (* PI l)) (* F F))))) * * * * [misc]progress: [ 68 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (pow F 2) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to (* F F) * [misc]simplify: Simplified (2 2 2) to (λ (F l) (- (* PI l) (/ (sin (* l PI)) (* F F)))) * * * * [misc]progress: [ 69 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (* PI l)) (pow F 2)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * [exit]simplify: Simplified to (* (cos (* PI l)) (* F F)) * [misc]simplify: Simplified (2 2 2) to (λ (F l) (- (* PI l) (/ (sin (* l PI)) (* (cos (* PI l)) (* F F))))) * * * * [misc]progress: [ 70 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (* PI l)) (pow F 2)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * [exit]simplify: Simplified to (* (cos (* PI l)) (* F F)) * [misc]simplify: Simplified (2 2 2) to (λ (F l) (- (* PI l) (/ (sin (* l PI)) (* (cos (* 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 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 2 1 2 2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 2 1 2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (sin (* l PI)) in (l) around 0 * [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 PI) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into 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 PI) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow PI 1) 1))) into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow PI 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 1/6 (pow PI 3))) * [misc]backup-simplify: Simplify (- (* 1/6 (pow PI 3))) into (- (* 1/6 (pow PI 3))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow PI 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow PI 5) 120)) 0 (* -1 (/ (pow PI 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow PI 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into (* 1/120 (pow PI 5)) * [misc]backup-simplify: Simplify (* 1/120 (pow PI 5)) into (* 1/120 (pow PI 5)) * [misc]backup-simplify: Simplify (+ (* (* 1/120 (pow PI 5)) (pow l 5)) (+ (* (- (* 1/6 (pow PI 3))) (pow l 3)) (* PI l))) into (- (+ (* 1/120 (* (pow PI 5) (pow l 5))) (* PI l)) (* 1/6 (* (pow PI 3) (pow l 3)))) * [misc]approximate: Taking taylor expansion of (sin (* (/ 1 l) PI)) in (l) around 0 * [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 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 PI * [misc]backup-simplify: Simplify (sin (* (/ 1 l) PI)) into (sin (/ PI l)) * [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 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 PI * [misc]backup-simplify: Simplify (sin (* (/ 1 l) PI)) 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (/ 1 l))) into (sin (* PI l)) * [misc]approximate: Taking taylor expansion of (sin (* (/ 1 (- l)) PI)) in (l) around 0 * [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 -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 (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 -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]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 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sin (* -1 (/ PI (/ 1 (- l))))) into (sin (* PI l)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2 2 1) * [misc]approximate: Taking taylor expansion of (cos (* PI l)) in (l) around 0 * [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 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]taylor: Taking taylor expansion of (cos (* PI l)) in l * [misc]taylor: Taking taylor expansion of (* PI l) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [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 (/ (pow PI 2) 2)) 0) into (- (* 1/2 (pow PI 2))) * [misc]backup-simplify: Simplify (- (* 1/2 (pow PI 2))) into (- (* 1/2 (pow PI 2))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow PI 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow PI 4) 24)) 0 (* -1 (/ (pow PI 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into (* 1/24 (pow PI 4)) * [misc]backup-simplify: Simplify (* 1/24 (pow PI 4)) into (* 1/24 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* (* 1/24 (pow PI 4)) (pow l 4)) (+ (* (- (* 1/2 (pow PI 2))) (pow l 2)) 1)) into (- (+ (* 1/24 (* (pow PI 4) (pow l 4))) 1) (* 1/2 (* (pow PI 2) (pow l 2)))) * [misc]approximate: Taking taylor expansion of (cos (* PI (/ 1 l))) in (l) around 0 * [misc]taylor: Taking taylor expansion of (cos (* PI (/ 1 l))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 l)) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* PI 1) into PI * [misc]backup-simplify: Simplify (cos (* PI (/ 1 l))) into (cos (/ PI l)) * [misc]taylor: Taking taylor expansion of (cos (* PI (/ 1 l))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 l)) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* PI 1) into PI * [misc]backup-simplify: Simplify (cos (* PI (/ 1 l))) into (cos (/ 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (/ PI (/ 1 l))) into (cos (* PI l)) * [misc]approximate: Taking taylor expansion of (cos (* PI (/ 1 (- l)))) in (l) around 0 * [misc]taylor: Taking taylor expansion of (cos (* PI (/ 1 (- l)))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- l))) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (cos (* PI (/ 1 (- l)))) into (cos (* -1 (/ PI l))) * [misc]taylor: Taking taylor expansion of (cos (* PI (/ 1 (- l)))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- l))) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (cos (* PI (/ 1 (- l)))) into (cos (* -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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (* -1 (/ PI (/ 1 (- l))))) into (cos (* PI l)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 2 1 2 2 1) * [misc]approximate: Taking taylor expansion of (cos (* PI l)) in (l) around 0 * [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 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]taylor: Taking taylor expansion of (cos (* PI l)) in l * [misc]taylor: Taking taylor expansion of (* PI l) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [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 (/ (pow PI 2) 2)) 0) into (- (* 1/2 (pow PI 2))) * [misc]backup-simplify: Simplify (- (* 1/2 (pow PI 2))) into (- (* 1/2 (pow PI 2))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow PI 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow PI 4) 24)) 0 (* -1 (/ (pow PI 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into (* 1/24 (pow PI 4)) * [misc]backup-simplify: Simplify (* 1/24 (pow PI 4)) into (* 1/24 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* (* 1/24 (pow PI 4)) (pow l 4)) (+ (* (- (* 1/2 (pow PI 2))) (pow l 2)) 1)) into (- (+ (* 1/24 (* (pow PI 4) (pow l 4))) 1) (* 1/2 (* (pow PI 2) (pow l 2)))) * [misc]approximate: Taking taylor expansion of (cos (* PI (/ 1 l))) in (l) around 0 * [misc]taylor: Taking taylor expansion of (cos (* PI (/ 1 l))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 l)) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* PI 1) into PI * [misc]backup-simplify: Simplify (cos (* PI (/ 1 l))) into (cos (/ PI l)) * [misc]taylor: Taking taylor expansion of (cos (* PI (/ 1 l))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 l)) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* PI 1) into PI * [misc]backup-simplify: Simplify (cos (* PI (/ 1 l))) into (cos (/ 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (/ PI (/ 1 l))) into (cos (* PI l)) * [misc]approximate: Taking taylor expansion of (cos (* PI (/ 1 (- l)))) in (l) around 0 * [misc]taylor: Taking taylor expansion of (cos (* PI (/ 1 (- l)))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- l))) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (cos (* PI (/ 1 (- l)))) into (cos (* -1 (/ PI l))) * [misc]taylor: Taking taylor expansion of (cos (* PI (/ 1 (- l)))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- l))) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (cos (* PI (/ 1 (- l)))) into (cos (* -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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (* -1 (/ PI (/ 1 (- l))))) into (cos (* PI l)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 2 1 2 1 1) * [misc]approximate: Taking taylor expansion of (cos (* PI l)) in (l) around 0 * [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 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]taylor: Taking taylor expansion of (cos (* PI l)) in l * [misc]taylor: Taking taylor expansion of (* PI l) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [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 (/ (pow PI 2) 2)) 0) into (- (* 1/2 (pow PI 2))) * [misc]backup-simplify: Simplify (- (* 1/2 (pow PI 2))) into (- (* 1/2 (pow PI 2))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow PI 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow PI 4) 24)) 0 (* -1 (/ (pow PI 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into (* 1/24 (pow PI 4)) * [misc]backup-simplify: Simplify (* 1/24 (pow PI 4)) into (* 1/24 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* (* 1/24 (pow PI 4)) (pow l 4)) (+ (* (- (* 1/2 (pow PI 2))) (pow l 2)) 1)) into (- (+ (* 1/24 (* (pow PI 4) (pow l 4))) 1) (* 1/2 (* (pow PI 2) (pow l 2)))) * [misc]approximate: Taking taylor expansion of (cos (* PI (/ 1 l))) in (l) around 0 * [misc]taylor: Taking taylor expansion of (cos (* PI (/ 1 l))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 l)) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* PI 1) into PI * [misc]backup-simplify: Simplify (cos (* PI (/ 1 l))) into (cos (/ PI l)) * [misc]taylor: Taking taylor expansion of (cos (* PI (/ 1 l))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 l)) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* PI 1) into PI * [misc]backup-simplify: Simplify (cos (* PI (/ 1 l))) into (cos (/ 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (/ PI (/ 1 l))) into (cos (* PI l)) * [misc]approximate: Taking taylor expansion of (cos (* PI (/ 1 (- l)))) in (l) around 0 * [misc]taylor: Taking taylor expansion of (cos (* PI (/ 1 (- l)))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- l))) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (cos (* PI (/ 1 (- l)))) into (cos (* -1 (/ PI l))) * [misc]taylor: Taking taylor expansion of (cos (* PI (/ 1 (- l)))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- l))) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (cos (* PI (/ 1 (- l)))) into (cos (* -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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (* -1 (/ PI (/ 1 (- l))))) into (cos (* PI l)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/120 (* (pow PI 5) (pow l 5))) (* PI l)) (* 1/6 (* (pow PI 3) (pow l 3)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (309 enodes) * [exit]simplify: Simplified to (- (fma 1/120 (* (pow PI 5) (pow l 5)) (* PI l)) (* (* (* l l) (* PI l)) (* (* PI PI) 1/6))) * [misc]simplify: Simplified (2 2 1) to (λ (F l) (- (* PI l) (/ (- (fma 1/120 (* (pow PI 5) (pow l 5)) (* PI l)) (* (* (* l l) (* PI l)) (* (* PI PI) 1/6))) (* (* (* F F) (* (cbrt (cos (* PI l))) (cbrt (cos (* PI l))))) (cbrt (cos (* PI l))))))) * * * * [misc]progress: [ 38 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (sin (* PI l)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sin (* PI l)) * [misc]simplify: Simplified (2 2 1) to (λ (F l) (- (* PI l) (/ (sin (* PI l)) (* (* (* F F) (* (cbrt (cos (* PI l))) (cbrt (cos (* PI l))))) (cbrt (cos (* PI l))))))) * * * * [misc]progress: [ 39 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (sin (* PI l)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sin (* PI l)) * [misc]simplify: Simplified (2 2 1) to (λ (F l) (- (* PI l) (/ (sin (* PI l)) (* (* (* F F) (* (cbrt (cos (* PI l))) (cbrt (cos (* PI l))))) (cbrt (cos (* PI l))))))) * * * * [misc]progress: [ 40 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/24 (* (pow PI 4) (pow l 4))) 1) (* 1/2 (* (pow PI 2) (pow l 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (197 enodes) * * [misc]simplify: iters left: 2 (426 enodes) * [exit]simplify: Simplified to (- (fma 1/24 (* (pow PI 4) (pow l 4)) 1) (* 1/2 (* (* PI l) (* PI l)))) * [misc]simplify: Simplified (2 2 2 2 1) to (λ (F l) (- (* PI l) (/ (sin (* l PI)) (* (* (* F F) (* (cbrt (cos (* PI l))) (cbrt (cos (* PI l))))) (cbrt (- (fma 1/24 (* (pow PI 4) (pow l 4)) 1) (* 1/2 (* (* PI l) (* PI l))))))))) * * * * [misc]progress: [ 41 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (cos (* PI l)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cos (* PI l)) * [misc]simplify: Simplified (2 2 2 2 1) to (λ (F l) (- (* PI l) (/ (sin (* l PI)) (* (* (* F F) (* (cbrt (cos (* PI l))) (cbrt (cos (* PI l))))) (cbrt (cos (* PI l))))))) * * * * [misc]progress: [ 42 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (cos (* PI l)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cos (* PI l)) * [misc]simplify: Simplified (2 2 2 2 1) to (λ (F l) (- (* PI l) (/ (sin (* l PI)) (* (* (* F F) (* (cbrt (cos (* PI l))) (cbrt (cos (* PI l))))) (cbrt (cos (* PI l))))))) * * * * [misc]progress: [ 43 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/24 (* (pow PI 4) (pow l 4))) 1) (* 1/2 (* (pow PI 2) (pow l 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (197 enodes) * * [misc]simplify: iters left: 2 (426 enodes) * [exit]simplify: Simplified to (- (fma 1/24 (* (pow PI 4) (pow l 4)) 1) (* 1/2 (* (* PI l) (* PI l)))) * [misc]simplify: Simplified (2 2 2 1 2 2 1) to (λ (F l) (- (* PI l) (/ (sin (* l PI)) (* (* (* F F) (* (cbrt (cos (* PI l))) (cbrt (- (fma 1/24 (* (pow PI 4) (pow l 4)) 1) (* 1/2 (* (* PI l) (* PI l))))))) (cbrt (cos (* PI l))))))) * * * * [misc]progress: [ 44 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (cos (* PI l)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cos (* PI l)) * [misc]simplify: Simplified (2 2 2 1 2 2 1) to (λ (F l) (- (* PI l) (/ (sin (* l PI)) (* (* (* F F) (* (cbrt (cos (* PI l))) (cbrt (cos (* PI l))))) (cbrt (cos (* PI l))))))) * * * * [misc]progress: [ 45 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (cos (* PI l)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cos (* PI l)) * [misc]simplify: Simplified (2 2 2 1 2 2 1) to (λ (F l) (- (* PI l) (/ (sin (* l PI)) (* (* (* F F) (* (cbrt (cos (* PI l))) (cbrt (cos (* PI l))))) (cbrt (cos (* PI l))))))) * * * * [misc]progress: [ 46 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/24 (* (pow PI 4) (pow l 4))) 1) (* 1/2 (* (pow PI 2) (pow l 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (197 enodes) * * [misc]simplify: iters left: 2 (426 enodes) * [exit]simplify: Simplified to (- (fma 1/24 (* (pow PI 4) (pow l 4)) 1) (* 1/2 (* (* PI l) (* PI l)))) * [misc]simplify: Simplified (2 2 2 1 2 1 1) to (λ (F l) (- (* PI l) (/ (sin (* l PI)) (* (* (* F F) (* (cbrt (- (fma 1/24 (* (pow PI 4) (pow l 4)) 1) (* 1/2 (* (* PI l) (* PI l))))) (cbrt (cos (* PI l))))) (cbrt (cos (* PI l))))))) * * * * [misc]progress: [ 47 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (cos (* PI l)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cos (* PI l)) * [misc]simplify: Simplified (2 2 2 1 2 1 1) to (λ (F l) (- (* PI l) (/ (sin (* l PI)) (* (* (* F F) (* (cbrt (cos (* PI l))) (cbrt (cos (* PI l))))) (cbrt (cos (* PI l))))))) * * * * [misc]progress: [ 48 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (cos (* PI l)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cos (* PI l)) * [misc]simplify: Simplified (2 2 2 1 2 1 1) to (λ (F l) (- (* PI l) (/ (sin (* l PI)) (* (* (* F F) (* (cbrt (cos (* PI l))) (cbrt (cos (* PI l))))) (cbrt (cos (* PI l))))))) * * * [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 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2 2 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 2 1 2 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 2 1 1 1 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (sin (* l PI)) in (l) around 0 * [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 PI) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into 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 PI) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow PI 1) 1))) into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow PI 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 1/6 (pow PI 3))) * [misc]backup-simplify: Simplify (- (* 1/6 (pow PI 3))) into (- (* 1/6 (pow PI 3))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow PI 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow PI 5) 120)) 0 (* -1 (/ (pow PI 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow PI 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into (* 1/120 (pow PI 5)) * [misc]backup-simplify: Simplify (* 1/120 (pow PI 5)) into (* 1/120 (pow PI 5)) * [misc]backup-simplify: Simplify (+ (* (* 1/120 (pow PI 5)) (pow l 5)) (+ (* (- (* 1/6 (pow PI 3))) (pow l 3)) (* PI l))) into (- (+ (* 1/120 (* (pow PI 5) (pow l 5))) (* PI l)) (* 1/6 (* (pow PI 3) (pow l 3)))) * [misc]approximate: Taking taylor expansion of (sin (* (/ 1 l) PI)) in (l) around 0 * [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 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 PI * [misc]backup-simplify: Simplify (sin (* (/ 1 l) PI)) into (sin (/ PI l)) * [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 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 PI * [misc]backup-simplify: Simplify (sin (* (/ 1 l) PI)) 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (/ 1 l))) into (sin (* PI l)) * [misc]approximate: Taking taylor expansion of (sin (* (/ 1 (- l)) PI)) in (l) around 0 * [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 -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 (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 -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]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 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sin (* -1 (/ PI (/ 1 (- l))))) into (sin (* PI l)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2 2 1 2) * [misc]approximate: Taking taylor expansion of (cos (* PI l)) in (l) around 0 * [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 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]taylor: Taking taylor expansion of (cos (* PI l)) in l * [misc]taylor: Taking taylor expansion of (* PI l) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [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 (/ (pow PI 2) 2)) 0) into (- (* 1/2 (pow PI 2))) * [misc]backup-simplify: Simplify (- (* 1/2 (pow PI 2))) into (- (* 1/2 (pow PI 2))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow PI 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow PI 4) 24)) 0 (* -1 (/ (pow PI 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into (* 1/24 (pow PI 4)) * [misc]backup-simplify: Simplify (* 1/24 (pow PI 4)) into (* 1/24 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* (* 1/24 (pow PI 4)) (pow l 4)) (+ (* (- (* 1/2 (pow PI 2))) (pow l 2)) 1)) into (- (+ (* 1/24 (* (pow PI 4) (pow l 4))) 1) (* 1/2 (* (pow PI 2) (pow l 2)))) * [misc]approximate: Taking taylor expansion of (cos (* PI (/ 1 l))) in (l) around 0 * [misc]taylor: Taking taylor expansion of (cos (* PI (/ 1 l))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 l)) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* PI 1) into PI * [misc]backup-simplify: Simplify (cos (* PI (/ 1 l))) into (cos (/ PI l)) * [misc]taylor: Taking taylor expansion of (cos (* PI (/ 1 l))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 l)) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* PI 1) into PI * [misc]backup-simplify: Simplify (cos (* PI (/ 1 l))) into (cos (/ 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (/ PI (/ 1 l))) into (cos (* PI l)) * [misc]approximate: Taking taylor expansion of (cos (* PI (/ 1 (- l)))) in (l) around 0 * [misc]taylor: Taking taylor expansion of (cos (* PI (/ 1 (- l)))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- l))) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (cos (* PI (/ 1 (- l)))) into (cos (* -1 (/ PI l))) * [misc]taylor: Taking taylor expansion of (cos (* PI (/ 1 (- l)))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- l))) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (cos (* PI (/ 1 (- l)))) into (cos (* -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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (* -1 (/ PI (/ 1 (- l))))) into (cos (* PI l)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 2 1 2 1 2) * [misc]approximate: Taking taylor expansion of (cos (* PI l)) in (l) around 0 * [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 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]taylor: Taking taylor expansion of (cos (* PI l)) in l * [misc]taylor: Taking taylor expansion of (* PI l) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [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 (/ (pow PI 2) 2)) 0) into (- (* 1/2 (pow PI 2))) * [misc]backup-simplify: Simplify (- (* 1/2 (pow PI 2))) into (- (* 1/2 (pow PI 2))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow PI 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow PI 4) 24)) 0 (* -1 (/ (pow PI 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into (* 1/24 (pow PI 4)) * [misc]backup-simplify: Simplify (* 1/24 (pow PI 4)) into (* 1/24 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* (* 1/24 (pow PI 4)) (pow l 4)) (+ (* (- (* 1/2 (pow PI 2))) (pow l 2)) 1)) into (- (+ (* 1/24 (* (pow PI 4) (pow l 4))) 1) (* 1/2 (* (pow PI 2) (pow l 2)))) * [misc]approximate: Taking taylor expansion of (cos (* PI (/ 1 l))) in (l) around 0 * [misc]taylor: Taking taylor expansion of (cos (* PI (/ 1 l))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 l)) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* PI 1) into PI * [misc]backup-simplify: Simplify (cos (* PI (/ 1 l))) into (cos (/ PI l)) * [misc]taylor: Taking taylor expansion of (cos (* PI (/ 1 l))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 l)) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* PI 1) into PI * [misc]backup-simplify: Simplify (cos (* PI (/ 1 l))) into (cos (/ 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (/ PI (/ 1 l))) into (cos (* PI l)) * [misc]approximate: Taking taylor expansion of (cos (* PI (/ 1 (- l)))) in (l) around 0 * [misc]taylor: Taking taylor expansion of (cos (* PI (/ 1 (- l)))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- l))) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (cos (* PI (/ 1 (- l)))) into (cos (* -1 (/ PI l))) * [misc]taylor: Taking taylor expansion of (cos (* PI (/ 1 (- l)))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- l))) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (cos (* PI (/ 1 (- l)))) into (cos (* -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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (* -1 (/ PI (/ 1 (- l))))) into (cos (* PI l)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 2 1 1 1 2) * [misc]approximate: Taking taylor expansion of (cos (* PI l)) in (l) around 0 * [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 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]taylor: Taking taylor expansion of (cos (* PI l)) in l * [misc]taylor: Taking taylor expansion of (* PI l) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [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 (/ (pow PI 2) 2)) 0) into (- (* 1/2 (pow PI 2))) * [misc]backup-simplify: Simplify (- (* 1/2 (pow PI 2))) into (- (* 1/2 (pow PI 2))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow PI 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow PI 4) 24)) 0 (* -1 (/ (pow PI 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into (* 1/24 (pow PI 4)) * [misc]backup-simplify: Simplify (* 1/24 (pow PI 4)) into (* 1/24 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* (* 1/24 (pow PI 4)) (pow l 4)) (+ (* (- (* 1/2 (pow PI 2))) (pow l 2)) 1)) into (- (+ (* 1/24 (* (pow PI 4) (pow l 4))) 1) (* 1/2 (* (pow PI 2) (pow l 2)))) * [misc]approximate: Taking taylor expansion of (cos (* PI (/ 1 l))) in (l) around 0 * [misc]taylor: Taking taylor expansion of (cos (* PI (/ 1 l))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 l)) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* PI 1) into PI * [misc]backup-simplify: Simplify (cos (* PI (/ 1 l))) into (cos (/ PI l)) * [misc]taylor: Taking taylor expansion of (cos (* PI (/ 1 l))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 l)) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* PI 1) into PI * [misc]backup-simplify: Simplify (cos (* PI (/ 1 l))) into (cos (/ 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (/ PI (/ 1 l))) into (cos (* PI l)) * [misc]approximate: Taking taylor expansion of (cos (* PI (/ 1 (- l)))) in (l) around 0 * [misc]taylor: Taking taylor expansion of (cos (* PI (/ 1 (- l)))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- l))) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (cos (* PI (/ 1 (- l)))) into (cos (* -1 (/ PI l))) * [misc]taylor: Taking taylor expansion of (cos (* PI (/ 1 (- l)))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- l))) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (cos (* PI (/ 1 (- l)))) into (cos (* -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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (* -1 (/ PI (/ 1 (- l))))) into (cos (* PI l)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/120 (* (pow PI 5) (pow l 5))) (* PI l)) (* 1/6 (* (pow PI 3) (pow l 3)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (309 enodes) * [exit]simplify: Simplified to (- (fma 1/120 (* (pow PI 5) (pow l 5)) (* PI l)) (* (* (* l l) (* PI l)) (* (* PI PI) 1/6))) * [misc]simplify: Simplified (2 2 1) to (λ (F l) (- (* PI l) (/ (- (fma 1/120 (* (pow PI 5) (pow l 5)) (* PI l)) (* (* (* l l) (* PI l)) (* (* PI PI) 1/6))) (* (* (cbrt (* (* F F) (cos (* PI l)))) (cbrt (* (* F F) (cos (* PI l))))) (cbrt (* (* F F) (cos (* PI l)))))))) * * * * [misc]progress: [ 38 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (sin (* PI l)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sin (* PI l)) * [misc]simplify: Simplified (2 2 1) to (λ (F l) (- (* PI l) (/ (sin (* PI l)) (* (* (cbrt (* (* F F) (cos (* PI l)))) (cbrt (* (* F F) (cos (* PI l))))) (cbrt (* (* F F) (cos (* PI l)))))))) * * * * [misc]progress: [ 39 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (sin (* PI l)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sin (* PI l)) * [misc]simplify: Simplified (2 2 1) to (λ (F l) (- (* PI l) (/ (sin (* PI l)) (* (* (cbrt (* (* F F) (cos (* PI l)))) (cbrt (* (* F F) (cos (* PI l))))) (cbrt (* (* F F) (cos (* PI l)))))))) * * * * [misc]progress: [ 40 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/24 (* (pow PI 4) (pow l 4))) 1) (* 1/2 (* (pow PI 2) (pow l 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (197 enodes) * * [misc]simplify: iters left: 2 (426 enodes) * [exit]simplify: Simplified to (- (fma 1/24 (* (pow PI 4) (pow l 4)) 1) (* 1/2 (* (* PI l) (* PI l)))) * [misc]simplify: Simplified (2 2 2 2 1 2) to (λ (F l) (- (* PI l) (/ (sin (* l PI)) (* (* (cbrt (* (* F F) (cos (* PI l)))) (cbrt (* (* F F) (cos (* PI l))))) (cbrt (* (* F F) (- (fma 1/24 (* (pow PI 4) (pow l 4)) 1) (* 1/2 (* (* PI l) (* PI l)))))))))) * * * * [misc]progress: [ 41 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (cos (* PI l)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cos (* PI l)) * [misc]simplify: Simplified (2 2 2 2 1 2) to (λ (F l) (- (* PI l) (/ (sin (* l PI)) (* (* (cbrt (* (* F F) (cos (* PI l)))) (cbrt (* (* F F) (cos (* PI l))))) (cbrt (* (* F F) (cos (* PI l)))))))) * * * * [misc]progress: [ 42 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (cos (* PI l)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cos (* PI l)) * [misc]simplify: Simplified (2 2 2 2 1 2) to (λ (F l) (- (* PI l) (/ (sin (* l PI)) (* (* (cbrt (* (* F F) (cos (* PI l)))) (cbrt (* (* F F) (cos (* PI l))))) (cbrt (* (* F F) (cos (* PI l)))))))) * * * * [misc]progress: [ 43 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/24 (* (pow PI 4) (pow l 4))) 1) (* 1/2 (* (pow PI 2) (pow l 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (197 enodes) * * [misc]simplify: iters left: 2 (426 enodes) * [exit]simplify: Simplified to (- (fma 1/24 (* (pow PI 4) (pow l 4)) 1) (* 1/2 (* (* PI l) (* PI l)))) * [misc]simplify: Simplified (2 2 2 1 2 1 2) to (λ (F l) (- (* PI l) (/ (sin (* l PI)) (* (* (cbrt (* (* F F) (cos (* PI l)))) (cbrt (* (* F F) (- (fma 1/24 (* (pow PI 4) (pow l 4)) 1) (* 1/2 (* (* PI l) (* PI l))))))) (cbrt (* (* F F) (cos (* PI l)))))))) * * * * [misc]progress: [ 44 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (cos (* PI l)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cos (* PI l)) * [misc]simplify: Simplified (2 2 2 1 2 1 2) to (λ (F l) (- (* PI l) (/ (sin (* l PI)) (* (* (cbrt (* (* F F) (cos (* PI l)))) (cbrt (* (* F F) (cos (* PI l))))) (cbrt (* (* F F) (cos (* PI l)))))))) * * * * [misc]progress: [ 45 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (cos (* PI l)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cos (* PI l)) * [misc]simplify: Simplified (2 2 2 1 2 1 2) to (λ (F l) (- (* PI l) (/ (sin (* l PI)) (* (* (cbrt (* (* F F) (cos (* PI l)))) (cbrt (* (* F F) (cos (* PI l))))) (cbrt (* (* F F) (cos (* PI l)))))))) * * * * [misc]progress: [ 46 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/24 (* (pow PI 4) (pow l 4))) 1) (* 1/2 (* (pow PI 2) (pow l 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (197 enodes) * * [misc]simplify: iters left: 2 (426 enodes) * [exit]simplify: Simplified to (- (fma 1/24 (* (pow PI 4) (pow l 4)) 1) (* 1/2 (* (* PI l) (* PI l)))) * [misc]simplify: Simplified (2 2 2 1 1 1 2) to (λ (F l) (- (* PI l) (/ (sin (* l PI)) (* (* (cbrt (* (* F F) (- (fma 1/24 (* (pow PI 4) (pow l 4)) 1) (* 1/2 (* (* PI l) (* PI l)))))) (cbrt (* (* F F) (cos (* PI l))))) (cbrt (* (* F F) (cos (* PI l)))))))) * * * * [misc]progress: [ 47 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (cos (* PI l)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cos (* PI l)) * [misc]simplify: Simplified (2 2 2 1 1 1 2) to (λ (F l) (- (* PI l) (/ (sin (* l PI)) (* (* (cbrt (* (* F F) (cos (* PI l)))) (cbrt (* (* F F) (cos (* PI l))))) (cbrt (* (* F F) (cos (* PI l)))))))) * * * * [misc]progress: [ 48 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (cos (* PI l)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cos (* PI l)) * [misc]simplify: Simplified (2 2 2 1 1 1 2) to (λ (F l) (- (* PI l) (/ (sin (* l PI)) (* (* (cbrt (* (* F F) (cos (* PI l)))) (cbrt (* (* F F) (cos (* PI l))))) (cbrt (* (* F F) (cos (* PI l)))))))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime: Finding splitpoints for: (# # # # # # # # # # # # # #) * * * [misc]regime-changes: Trying 5 branch expressions: (F (* F F) (/ 1 (* F F)) l (* PI l)) * * * * [misc]regimes: Trying to branch on F from (# # # # # # # # # # # # # #) * * * * [misc]regimes: Trying to branch on (* F F) from (# # # # # # # # # # # # # #) * * * * [misc]regimes: Trying to branch on (/ 1 (* F F)) from (# # # # # # # # # # # # # #) * * * * [misc]regimes: Trying to branch on (/ 1 (* F F)) from (# # # # # # #) * * * * [misc]regimes: Trying to branch on l from (# # # # # # # # # # # # # #) * * * * [misc]regimes: Trying to branch on (* PI l) from (# # # # # # # # # # # # # #) * * * * [misc]regimes: Trying to branch on (* PI l) from (# # # # # # # #) * * * [misc]regime: Found split indices: #