* [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: 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 8 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: Computing exacts on every 4 of 256 points to ramp up precision * * * * [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 on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1856 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 1856 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [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 (- (sin (+ x eps)) (sin x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (- (sin (+ eps x)) (sin x)) * * [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 / 2 ] rewriting at (2) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (- (sin (+ eps x)) (sin x)) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (- (sin (+ eps x)) (sin x)) in x * [misc]taylor: Taking taylor expansion of (sin (+ eps x)) in x * [misc]taylor: Taking taylor expansion of (+ eps x) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ eps 0) into eps * [misc]backup-simplify: Simplify (sin eps) into (sin eps) * [misc]backup-simplify: Simplify (cos eps) into (cos eps) * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sin (+ eps x)) (sin x)) in eps * [misc]taylor: Taking taylor expansion of (sin (+ eps x)) in eps * [misc]taylor: Taking taylor expansion of (+ eps x) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (+ 0 x) into x * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]taylor: Taking taylor expansion of (sin x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]taylor: Taking taylor expansion of (- (sin (+ eps x)) (sin x)) in eps * [misc]taylor: Taking taylor expansion of (sin (+ eps x)) in eps * [misc]taylor: Taking taylor expansion of (+ eps x) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (+ 0 x) into x * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]taylor: Taking taylor expansion of (sin x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]backup-simplify: Simplify (* (sin x) 1) into (sin x) * [misc]backup-simplify: Simplify (* (cos x) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin x) 0) into (sin x) * [misc]backup-simplify: Simplify (* (sin x) 1) into (sin x) * [misc]backup-simplify: Simplify (* (cos x) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin x) 0) into (sin x) * [misc]backup-simplify: Simplify (- (sin x)) into (- (sin x)) * [misc]backup-simplify: Simplify (+ (sin x) (- (sin x))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]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 x) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* (cos x) 1) (* 0 0)) into (cos x) * [misc]backup-simplify: Simplify (+ 0 (cos x)) into (cos x) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin x) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos x) 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 x) 0) into (cos x) * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (* (sin x) (- 1/2)) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (sin x))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos x) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/2 (sin x))) 0) into (- (* 1/2 (sin x))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin x) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos x) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/2 (sin x))) 0) into (- (* 1/2 (sin x))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (sin x))) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (sin x)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin x) 0) (+ (* 0 (- 1/2)) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* (cos x) (- 1/6)) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into (- (* 1/6 (cos x))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/6 (cos x)))) into (- (* 1/6 (cos x))) * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/6 (cos x))) 0) into (- (* 1/6 (cos x))) * [misc]taylor: Taking taylor expansion of (- (* 1/6 (cos x))) in x * [misc]taylor: Taking taylor expansion of (* 1/6 (cos x)) in x * [misc]taylor: Taking taylor expansion of 1/6 in x * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/6 1) into 1/6 * [misc]backup-simplify: Simplify (- 1/6) into -1/6 * [misc]backup-simplify: Simplify -1/6 into -1/6 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (* x (pow eps 2))) (+ (* -1/6 (pow (* 1 eps) 3)) (* 1 (* 1 eps)))) into (- eps (+ (* 1/6 (pow eps 3)) (* 1/2 (* x (pow eps 2))))) * [misc]approximate: Taking taylor expansion of (- (sin (+ (/ 1 eps) (/ 1 x))) (sin (/ 1 x))) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (- (sin (+ (/ 1 eps) (/ 1 x))) (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sin (+ (/ 1 eps) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sin (+ (/ 1 eps) (/ 1 x))) into (sin (+ (/ 1 eps) (/ 1 x))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (- (sin (+ (/ 1 eps) (/ 1 x))) (sin (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (sin (+ (/ 1 eps) (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sin (+ (/ 1 eps) (/ 1 x))) into (sin (+ (/ 1 eps) (/ 1 x))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]taylor: Taking taylor expansion of (- (sin (+ (/ 1 eps) (/ 1 x))) (sin (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (sin (+ (/ 1 eps) (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sin (+ (/ 1 eps) (/ 1 x))) into (sin (+ (/ 1 eps) (/ 1 x))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) 1) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (* (cos (/ 1 x)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 x)) 0) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (- (sin (/ 1 x))) into (- (sin (/ 1 x))) * [misc]backup-simplify: Simplify (+ (sin (+ (/ 1 eps) (/ 1 x))) (- (sin (/ 1 x)))) into (- (sin (+ (/ 1 eps) (/ 1 x))) (sin (/ 1 x))) * [misc]taylor: Taking taylor expansion of (- (sin (+ (/ 1 eps) (/ 1 x))) (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sin (+ (/ 1 eps) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sin (+ (/ 1 eps) (/ 1 x))) into (sin (+ (/ 1 eps) (/ 1 x))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (- (sin (/ 1 x))) into (- (sin (/ 1 x))) * [misc]backup-simplify: Simplify (+ (sin (+ (/ 1 eps) (/ 1 x))) (- (sin (/ 1 x)))) into (- (sin (+ (/ 1 eps) (/ 1 x))) (sin (/ 1 x))) * [misc]backup-simplify: Simplify (- (sin (+ (/ 1 eps) (/ 1 x))) (sin (/ 1 x))) into (- (sin (+ (/ 1 eps) (/ 1 x))) (sin (/ 1 x))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 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 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 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 (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) 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 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (sin (+ (/ 1 (/ 1 eps)) (/ 1 (/ 1 x)))) (sin (/ 1 (/ 1 x)))) into (- (sin (+ x eps)) (sin x)) * [misc]approximate: Taking taylor expansion of (- (sin (+ (/ 1 (- eps)) (/ 1 (- x)))) (sin (/ 1 (- x)))) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (- (sin (+ (/ 1 (- eps)) (/ 1 (- x)))) (sin (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sin (+ (/ 1 (- eps)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- eps)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (/ 1 (- eps)) into (/ -1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sin (+ (/ 1 (- eps)) (/ 1 (- x)))) into (sin (- (+ (/ 1 eps) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (- (sin (+ (/ 1 (- eps)) (/ 1 (- x)))) (sin (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (sin (+ (/ 1 (- eps)) (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- eps)) (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (sin (+ (/ 1 (- eps)) (/ 1 (- x)))) into (sin (- (+ (/ 1 eps) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) * [misc]taylor: Taking taylor expansion of (- (sin (+ (/ 1 (- eps)) (/ 1 (- x)))) (sin (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (sin (+ (/ 1 (- eps)) (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- eps)) (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (sin (+ (/ 1 (- eps)) (/ 1 (- x)))) into (sin (- (+ (/ 1 eps) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) 1) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (* (cos (/ -1 x)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 x)) 0) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (- (sin (/ -1 x))) into (- (sin (/ -1 x))) * [misc]backup-simplify: Simplify (+ (sin (- (+ (/ 1 eps) (/ 1 x)))) (- (sin (/ -1 x)))) into (- (sin (- (+ (/ 1 eps) (/ 1 x)))) (sin (/ -1 x))) * [misc]taylor: Taking taylor expansion of (- (sin (- (+ (/ 1 eps) (/ 1 x)))) (sin (/ -1 x))) in x * [misc]taylor: Taking taylor expansion of (sin (- (+ (/ 1 eps) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 eps) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (sin (- (+ (/ 1 eps) (/ 1 x)))) into (sin (- (+ (/ 1 eps) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (sin (/ -1 x)) in x * [misc]taylor: Taking taylor expansion of (/ -1 x) in x * [misc]taylor: Taking taylor expansion of -1 in x * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of x in x * [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 (sin (/ -1 x)) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (- (sin (/ -1 x))) into (- (sin (/ -1 x))) * [misc]backup-simplify: Simplify (+ (sin (- (+ (/ 1 eps) (/ 1 x)))) (- (sin (/ -1 x)))) into (- (sin (- (+ (/ 1 eps) (/ 1 x)))) (sin (/ -1 x))) * [misc]backup-simplify: Simplify (- (sin (- (+ (/ 1 eps) (/ 1 x)))) (sin (/ -1 x))) into (- (sin (- (+ (/ 1 eps) (/ 1 x)))) (sin (/ -1 x))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 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 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 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 (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))))) 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 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (sin (- (+ (/ 1 (/ 1 (- eps))) (/ 1 (/ 1 (- x)))))) (sin (/ -1 (/ 1 (- x))))) into (- (sin (+ x eps)) (sin x)) * * * * [misc]progress: [ 2 / 2 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (sin (+ eps x)) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (sin (+ eps x)) in x * [misc]taylor: Taking taylor expansion of (+ eps x) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ eps 0) into eps * [misc]backup-simplify: Simplify (sin eps) into (sin eps) * [misc]backup-simplify: Simplify (cos eps) into (cos eps) * [misc]taylor: Taking taylor expansion of (sin (+ eps x)) in eps * [misc]taylor: Taking taylor expansion of (+ eps x) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (+ 0 x) into x * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]taylor: Taking taylor expansion of (sin (+ eps x)) in eps * [misc]taylor: Taking taylor expansion of (+ eps x) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (+ 0 x) into x * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]backup-simplify: Simplify (* (sin x) 1) into (sin x) * [misc]backup-simplify: Simplify (* (cos x) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin x) 0) into (sin x) * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin x) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* (cos x) 1) (* 0 0)) into (cos x) * [misc]backup-simplify: Simplify (+ 0 (cos x)) into (cos x) * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (* (sin x) (- 1/2)) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (sin x))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos x) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/2 (sin x))) 0) into (- (* 1/2 (sin x))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (sin x))) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (sin x)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin x) 0) (+ (* 0 (- 1/2)) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* (cos x) (- 1/6)) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into (- (* 1/6 (cos x))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/6 (cos x)))) into (- (* 1/6 (cos x))) * [misc]taylor: Taking taylor expansion of (- (* 1/6 (cos x))) in x * [misc]taylor: Taking taylor expansion of (* 1/6 (cos x)) in x * [misc]taylor: Taking taylor expansion of 1/6 in x * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/6 1) into 1/6 * [misc]backup-simplify: Simplify (- 1/6) into -1/6 * [misc]backup-simplify: Simplify -1/6 into -1/6 * [misc]backup-simplify: Simplify (+ (* -1/6 (pow (* 1 eps) 3)) (+ (* 1 (* x 1)) (* 1 (* 1 eps)))) into (- (+ x eps) (* 1/6 (pow eps 3))) * [misc]approximate: Taking taylor expansion of (sin (+ (/ 1 eps) (/ 1 x))) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (sin (+ (/ 1 eps) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sin (+ (/ 1 eps) (/ 1 x))) into (sin (+ (/ 1 eps) (/ 1 x))) * [misc]taylor: Taking taylor expansion of (sin (+ (/ 1 eps) (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sin (+ (/ 1 eps) (/ 1 x))) into (sin (+ (/ 1 eps) (/ 1 x))) * [misc]taylor: Taking taylor expansion of (sin (+ (/ 1 eps) (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sin (+ (/ 1 eps) (/ 1 x))) into (sin (+ (/ 1 eps) (/ 1 x))) * [misc]taylor: Taking taylor expansion of (sin (+ (/ 1 eps) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sin (+ (/ 1 eps) (/ 1 x))) into (sin (+ (/ 1 eps) (/ 1 x))) * [misc]backup-simplify: Simplify (sin (+ (/ 1 eps) (/ 1 x))) into (sin (+ (/ 1 eps) (/ 1 x))) * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sin (+ (/ 1 (/ 1 eps)) (/ 1 (/ 1 x)))) into (sin (+ x eps)) * [misc]approximate: Taking taylor expansion of (sin (+ (/ 1 (- eps)) (/ 1 (- x)))) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (sin (+ (/ 1 (- eps)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- eps)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (/ 1 (- eps)) into (/ -1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sin (+ (/ 1 (- eps)) (/ 1 (- x)))) into (sin (- (+ (/ 1 eps) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (sin (+ (/ 1 (- eps)) (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- eps)) (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (sin (+ (/ 1 (- eps)) (/ 1 (- x)))) into (sin (- (+ (/ 1 eps) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (sin (+ (/ 1 (- eps)) (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- eps)) (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (sin (+ (/ 1 (- eps)) (/ 1 (- x)))) into (sin (- (+ (/ 1 eps) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (sin (- (+ (/ 1 eps) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 eps) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (sin (- (+ (/ 1 eps) (/ 1 x)))) into (sin (- (+ (/ 1 eps) (/ 1 x)))) * [misc]backup-simplify: Simplify (sin (- (+ (/ 1 eps) (/ 1 x)))) into (sin (- (+ (/ 1 eps) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sin (- (+ (/ 1 (/ 1 (- eps))) (/ 1 (/ 1 (- x)))))) into (sin (+ x eps)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (/ (- (+ eps x) x) 2)) (cos (/ (+ (+ eps x) x) 2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2))) * [misc]simplify: Simplified (2 2) to (λ (x eps) (* 2 (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2))))) * * * * [misc]progress: [ 2 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (sin (+ eps x))) (exp (sin x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (exp (- (sin (+ x eps)) (sin x))) * [misc]simplify: Simplified (2 1) to (λ (x eps) (log (exp (- (sin (+ x eps)) (sin x))))) * * * * [misc]progress: [ 3 / 30 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 30 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 30 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 30 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 30 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 30 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 30 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 30 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 30 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 30 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (sin (+ eps x))) (sqrt (sin x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (+ (sqrt (sin x)) (sqrt (sin (+ x eps)))) * [misc]simplify: Simplified (2 1) to (λ (x eps) (* (+ (sqrt (sin x)) (sqrt (sin (+ x eps)))) (- (sqrt (sin (+ eps x))) (sqrt (sin x))))) * [enter]simplify: Simplifying (- (sqrt (sin (+ eps x))) (sqrt (sin x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (- (sqrt (sin (+ x eps))) (sqrt (sin x))) * [misc]simplify: Simplified (2 2) to (λ (x eps) (* (+ (sqrt (sin (+ eps x))) (sqrt (sin x))) (- (sqrt (sin (+ x eps))) (sqrt (sin x))))) * * * * [misc]progress: [ 14 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sin (+ eps x)) (sin x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (- (sin (+ x eps)) (sin x)) * [misc]simplify: Simplified (2 2) to (λ (x eps) (* 1 (- (sin (+ x eps)) (sin x)))) * * * * [misc]progress: [ 15 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin eps) (cos x)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (* (cos x) (sin eps)) * [misc]simplify: Simplified (2 1) to (λ (x eps) (+ (* (cos x) (sin eps)) (- (* (cos eps) (sin x)) (sin x)))) * * * * [misc]progress: [ 16 / 30 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin eps) (cos x)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (* (cos x) (sin eps)) * [misc]simplify: Simplified (2 1 1) to (λ (x eps) (- (+ (* (cos x) (sin eps)) (* (cos eps) (sin x))) (sin x))) * * * * [misc]progress: [ 18 / 30 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 30 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 30 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 30 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 30 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 30 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 30 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (- eps (+ (* 1/6 (pow eps 3)) (* 1/2 (* x (pow eps 2))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (143 enodes) * * [misc]simplify: iters left: 2 (291 enodes) * * [misc]simplify: iters left: 1 (481 enodes) * [exit]simplify: Simplified to (+ (* (- (* eps -1/6) (* 1/2 x)) (* eps eps)) eps) * [misc]simplify: Simplified (2) to (λ (x eps) (+ (* (- (* eps -1/6) (* 1/2 x)) (* eps eps)) eps)) * * * * [misc]progress: [ 26 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sin (+ x eps)) (sin x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (- (sin (+ eps x)) (sin x)) * [misc]simplify: Simplified (2) to (λ (x eps) (- (sin (+ eps x)) (sin x))) * * * * [misc]progress: [ 27 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sin (+ x eps)) (sin x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (- (sin (+ eps x)) (sin x)) * [misc]simplify: Simplified (2) to (λ (x eps) (- (sin (+ eps x)) (sin x))) * * * * [misc]progress: [ 28 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ x eps) (* 1/6 (pow eps 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (+ (* (* -1/6 eps) (* eps eps)) (+ eps x)) * [misc]simplify: Simplified (2 1) to (λ (x eps) (- (+ (* (* -1/6 eps) (* eps eps)) (+ eps x)) (sin x))) * * * * [misc]progress: [ 29 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (sin (+ x eps)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sin (+ eps x)) * [misc]simplify: Simplified (2 1) to (λ (x eps) (- (sin (+ eps x)) (sin x))) * * * * [misc]progress: [ 30 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (sin (+ x eps)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sin (+ eps x)) * [misc]simplify: Simplified (2 1) to (λ (x eps) (- (sin (+ eps x)) (sin x))) * * * [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) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (- (* (cos eps) (sin x)) (sin x)) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (- (* (cos eps) (sin x)) (sin x)) in x * [misc]taylor: Taking taylor expansion of (* (cos eps) (sin x)) in x * [misc]taylor: Taking taylor expansion of (cos eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (cos eps) into (cos eps) * [misc]backup-simplify: Simplify (sin eps) into (sin eps) * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (* (cos eps) (sin x)) (sin x)) in eps * [misc]taylor: Taking taylor expansion of (* (cos eps) (sin x)) in eps * [misc]taylor: Taking taylor expansion of (cos eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]taylor: Taking taylor expansion of (sin x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]taylor: Taking taylor expansion of (- (* (cos eps) (sin x)) (sin x)) in eps * [misc]taylor: Taking taylor expansion of (* (cos eps) (sin x)) in eps * [misc]taylor: Taking taylor expansion of (cos eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]taylor: Taking taylor expansion of (sin x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]backup-simplify: Simplify (* (sin x) 1) into (sin x) * [misc]backup-simplify: Simplify (* (cos x) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin x) 0) into (sin x) * [misc]backup-simplify: Simplify (* 1 (sin x)) into (sin x) * [misc]backup-simplify: Simplify (* (sin x) 1) into (sin x) * [misc]backup-simplify: Simplify (* (cos x) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin x) 0) into (sin x) * [misc]backup-simplify: Simplify (- (sin x)) into (- (sin x)) * [misc]backup-simplify: Simplify (+ (sin x) (- (sin x))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]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 x) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos x) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (sin x))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin x) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos x) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]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 x) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos x) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* (- 1/2) (sin x)))) into (- (* 1/2 (sin x))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin x) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos x) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/2 (sin x))) 0) into (- (* 1/2 (sin x))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (sin x))) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (sin x)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (- (* (cos (/ 1 eps)) (sin (/ 1 x))) (sin (/ 1 x))) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (- (* (cos (/ 1 eps)) (sin (/ 1 x))) (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 eps)) (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (cos (/ 1 eps)) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]backup-simplify: Simplify (cos (/ 1 eps)) into (cos (/ 1 eps)) * [misc]backup-simplify: Simplify (sin (/ 1 eps)) into (sin (/ 1 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (- (* (cos (/ 1 eps)) (sin (/ 1 x))) (sin (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 eps)) (sin (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (cos (/ 1 eps)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 (cos (/ 1 eps)) into (cos (/ 1 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]taylor: Taking taylor expansion of (- (* (cos (/ 1 eps)) (sin (/ 1 x))) (sin (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 eps)) (sin (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (cos (/ 1 eps)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 (cos (/ 1 eps)) into (cos (/ 1 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) 1) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (* (cos (/ 1 x)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 x)) 0) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (* (cos (/ 1 eps)) (sin (/ 1 x))) into (* (cos (/ 1 eps)) (sin (/ 1 x))) * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) 1) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (* (cos (/ 1 x)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 x)) 0) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (- (sin (/ 1 x))) into (- (sin (/ 1 x))) * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 eps)) (sin (/ 1 x))) (- (sin (/ 1 x)))) into (- (* (cos (/ 1 eps)) (sin (/ 1 x))) (sin (/ 1 x))) * [misc]taylor: Taking taylor expansion of (- (* (cos (/ 1 eps)) (sin (/ 1 x))) (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 eps)) (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (cos (/ 1 eps)) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]backup-simplify: Simplify (cos (/ 1 eps)) into (cos (/ 1 eps)) * [misc]backup-simplify: Simplify (sin (/ 1 eps)) into (sin (/ 1 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (* (cos (/ 1 eps)) 1) into (cos (/ 1 eps)) * [misc]backup-simplify: Simplify (* (sin (/ 1 eps)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 eps)) 0) into (cos (/ 1 eps)) * [misc]backup-simplify: Simplify (* (cos (/ 1 eps)) (sin (/ 1 x))) into (* (cos (/ 1 eps)) (sin (/ 1 x))) * [misc]backup-simplify: Simplify (- (sin (/ 1 x))) into (- (sin (/ 1 x))) * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 eps)) (sin (/ 1 x))) (- (sin (/ 1 x)))) into (- (* (cos (/ 1 eps)) (sin (/ 1 x))) (sin (/ 1 x))) * [misc]backup-simplify: Simplify (- (* (cos (/ 1 eps)) (sin (/ 1 x))) (sin (/ 1 x))) into (- (* (cos (/ 1 eps)) (sin (/ 1 x))) (sin (/ 1 x))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 eps)) 0) (* 0 (sin (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]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 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 eps) (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 eps)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 eps)) 0) (* 0 (sin (/ 1 x)))) 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 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 eps)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]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 eps)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 eps) (/ 0 eps)) (* 0 (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 eps)) 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 (+ (* (cos (/ 1 eps)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) 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 (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) 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 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 eps)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) 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 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) 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 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (* (cos (/ 1 (/ 1 eps))) (sin (/ 1 (/ 1 x)))) (sin (/ 1 (/ 1 x)))) into (- (* (sin x) (cos eps)) (sin x)) * [misc]approximate: Taking taylor expansion of (- (* (cos (/ 1 (- eps))) (sin (/ 1 (- x)))) (sin (/ 1 (- x)))) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (- (* (cos (/ 1 (- eps))) (sin (/ 1 (- x)))) (sin (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- eps))) (sin (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- eps))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (/ 1 (- eps)) into (/ -1 eps) * [misc]backup-simplify: Simplify (cos (/ -1 eps)) into (cos (/ -1 eps)) * [misc]backup-simplify: Simplify (sin (/ -1 eps)) into (sin (/ -1 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (- (* (cos (/ 1 (- eps))) (sin (/ 1 (- x)))) (sin (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- eps))) (sin (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- eps))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (cos (/ 1 (- eps))) into (cos (/ -1 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) * [misc]taylor: Taking taylor expansion of (- (* (cos (/ 1 (- eps))) (sin (/ 1 (- x)))) (sin (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- eps))) (sin (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- eps))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (cos (/ 1 (- eps))) into (cos (/ -1 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) 1) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (* (cos (/ -1 x)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 x)) 0) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (* (cos (/ -1 eps)) (sin (/ -1 x))) into (* (sin (/ -1 x)) (cos (/ -1 eps))) * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) 1) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (* (cos (/ -1 x)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 x)) 0) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (- (sin (/ -1 x))) into (- (sin (/ -1 x))) * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) (cos (/ -1 eps))) (- (sin (/ -1 x)))) into (- (* (sin (/ -1 x)) (cos (/ -1 eps))) (sin (/ -1 x))) * [misc]taylor: Taking taylor expansion of (- (* (sin (/ -1 x)) (cos (/ -1 eps))) (sin (/ -1 x))) in x * [misc]taylor: Taking taylor expansion of (* (sin (/ -1 x)) (cos (/ -1 eps))) in x * [misc]taylor: Taking taylor expansion of (sin (/ -1 x)) in x * [misc]taylor: Taking taylor expansion of (/ -1 x) in x * [misc]taylor: Taking taylor expansion of -1 in x * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of x in x * [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 (sin (/ -1 x)) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ -1 eps)) in x * [misc]taylor: Taking taylor expansion of (/ -1 eps) in x * [misc]taylor: Taking taylor expansion of -1 in x * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ -1 eps) into (/ -1 eps) * [misc]backup-simplify: Simplify (cos (/ -1 eps)) into (cos (/ -1 eps)) * [misc]backup-simplify: Simplify (sin (/ -1 eps)) into (sin (/ -1 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ -1 x)) in x * [misc]taylor: Taking taylor expansion of (/ -1 x) in x * [misc]taylor: Taking taylor expansion of -1 in x * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of x in x * [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 (sin (/ -1 x)) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (* (cos (/ -1 eps)) 1) into (cos (/ -1 eps)) * [misc]backup-simplify: Simplify (* (sin (/ -1 eps)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 eps)) 0) into (cos (/ -1 eps)) * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) (cos (/ -1 eps))) into (* (sin (/ -1 x)) (cos (/ -1 eps))) * [misc]backup-simplify: Simplify (- (sin (/ -1 x))) into (- (sin (/ -1 x))) * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) (cos (/ -1 eps))) (- (sin (/ -1 x)))) into (- (* (sin (/ -1 x)) (cos (/ -1 eps))) (sin (/ -1 x))) * [misc]backup-simplify: Simplify (- (* (sin (/ -1 x)) (cos (/ -1 eps))) (sin (/ -1 x))) into (- (* (sin (/ -1 x)) (cos (/ -1 eps))) (sin (/ -1 x))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 eps)) 0) (* 0 (sin (/ -1 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]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 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ -1 eps) (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 eps)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (cos (/ -1 eps)))) 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 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 eps)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]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 eps)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ -1 eps) (/ 0 eps)) (* 0 (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 eps)) 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 (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (cos (/ -1 eps))))) 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 (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))))) 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 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 eps)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) 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 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))))) 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 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (* (sin (/ -1 (/ 1 (- x)))) (cos (/ -1 (/ 1 (- eps))))) (sin (/ -1 (/ 1 (- x))))) into (- (* (sin x) (cos eps)) (sin x)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (* (sin eps) (cos x)) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (* (sin eps) (cos x)) in x * [misc]taylor: Taking taylor expansion of (sin eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (sin eps) into (sin eps) * [misc]backup-simplify: Simplify (cos eps) into (cos eps) * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sin eps) (cos x)) in eps * [misc]taylor: Taking taylor expansion of (sin eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]taylor: Taking taylor expansion of (* (sin eps) (cos x)) in eps * [misc]taylor: Taking taylor expansion of (sin eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]backup-simplify: Simplify (* (cos x) 1) into (cos x) * [misc]backup-simplify: Simplify (* (sin x) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos x) 0) into (cos x) * [misc]backup-simplify: Simplify (* 0 (cos x)) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]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 x) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin x) 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 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (cos x))) into (cos x) * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos x) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin x) 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 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos x)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin x) 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 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* (- 1/6) (cos x))))) into (- (* 1/6 (cos x))) * [misc]taylor: Taking taylor expansion of (- (* 1/6 (cos x))) in x * [misc]taylor: Taking taylor expansion of (* 1/6 (cos x)) in x * [misc]taylor: Taking taylor expansion of 1/6 in x * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/6 1) into 1/6 * [misc]backup-simplify: Simplify (- 1/6) into -1/6 * [misc]backup-simplify: Simplify -1/6 into -1/6 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (* (pow x 2) eps)) (+ (* -1/6 (pow (* 1 eps) 3)) (* 1 (* 1 eps)))) into (- eps (+ (* 1/6 (pow eps 3)) (* 1/2 (* (pow x 2) eps)))) * [misc]approximate: Taking taylor expansion of (* (sin (/ 1 eps)) (cos (/ 1 x))) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 eps)) (cos (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 eps)) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]backup-simplify: Simplify (sin (/ 1 eps)) into (sin (/ 1 eps)) * [misc]backup-simplify: Simplify (cos (/ 1 eps)) into (cos (/ 1 eps)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 eps)) (cos (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ 1 eps)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 (sin (/ 1 eps)) into (sin (/ 1 eps)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 eps)) (cos (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ 1 eps)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 (sin (/ 1 eps)) into (sin (/ 1 eps)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (* (cos (/ 1 x)) 1) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 x)) 0) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (* (sin (/ 1 eps)) (cos (/ 1 x))) into (* (sin (/ 1 eps)) (cos (/ 1 x))) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 eps)) (cos (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 eps)) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]backup-simplify: Simplify (sin (/ 1 eps)) into (sin (/ 1 eps)) * [misc]backup-simplify: Simplify (cos (/ 1 eps)) into (cos (/ 1 eps)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (* (sin (/ 1 eps)) 1) into (sin (/ 1 eps)) * [misc]backup-simplify: Simplify (* (cos (/ 1 eps)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 eps)) 0) into (sin (/ 1 eps)) * [misc]backup-simplify: Simplify (* (sin (/ 1 eps)) (cos (/ 1 x))) into (* (sin (/ 1 eps)) (cos (/ 1 x))) * [misc]backup-simplify: Simplify (* (sin (/ 1 eps)) (cos (/ 1 x))) into (* (sin (/ 1 eps)) (cos (/ 1 x))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 eps)) 0) (* 0 (cos (/ 1 x)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]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 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 eps) (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 eps)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 eps)) 0) (* 0 (cos (/ 1 x)))) 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 x)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 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 (+ (* (sin (/ 1 eps)) 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]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 eps)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 eps) (/ 0 eps)) (* 0 (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 eps)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 eps)) 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))) 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 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) 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 x)) 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 (+ (* (sin (/ 1 eps)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (sin (/ 1 (/ 1 eps))) (cos (/ 1 (/ 1 x)))) into (* (cos x) (sin eps)) * [misc]approximate: Taking taylor expansion of (* (sin (/ 1 (- eps))) (cos (/ 1 (- x)))) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- eps))) (cos (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- eps))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (/ 1 (- eps)) into (/ -1 eps) * [misc]backup-simplify: Simplify (sin (/ -1 eps)) into (sin (/ -1 eps)) * [misc]backup-simplify: Simplify (cos (/ -1 eps)) into (cos (/ -1 eps)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- eps))) (cos (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- eps))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (sin (/ 1 (- eps))) into (sin (/ -1 eps)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- eps))) (cos (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- eps))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (sin (/ 1 (- eps))) into (sin (/ -1 eps)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (* (cos (/ -1 x)) 1) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 x)) 0) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (* (sin (/ -1 eps)) (cos (/ -1 x))) into (* (cos (/ -1 x)) (sin (/ -1 eps))) * [misc]taylor: Taking taylor expansion of (* (cos (/ -1 x)) (sin (/ -1 eps))) in x * [misc]taylor: Taking taylor expansion of (cos (/ -1 x)) in x * [misc]taylor: Taking taylor expansion of (/ -1 x) in x * [misc]taylor: Taking taylor expansion of -1 in x * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of x in x * [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 (cos (/ -1 x)) into (cos (/ -1 x)) * [misc]taylor: Taking taylor expansion of (sin (/ -1 eps)) in x * [misc]taylor: Taking taylor expansion of (/ -1 eps) in x * [misc]taylor: Taking taylor expansion of -1 in x * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ -1 eps) into (/ -1 eps) * [misc]backup-simplify: Simplify (sin (/ -1 eps)) into (sin (/ -1 eps)) * [misc]backup-simplify: Simplify (cos (/ -1 eps)) into (cos (/ -1 eps)) * [misc]backup-simplify: Simplify (* (sin (/ -1 eps)) 1) into (sin (/ -1 eps)) * [misc]backup-simplify: Simplify (* (cos (/ -1 eps)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 eps)) 0) into (sin (/ -1 eps)) * [misc]backup-simplify: Simplify (* (cos (/ -1 x)) (sin (/ -1 eps))) into (* (cos (/ -1 x)) (sin (/ -1 eps))) * [misc]backup-simplify: Simplify (* (cos (/ -1 x)) (sin (/ -1 eps))) into (* (cos (/ -1 x)) (sin (/ -1 eps))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 eps)) 0) (* 0 (cos (/ -1 x)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]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 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ -1 eps) (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 eps)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 (sin (/ -1 eps)))) 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 x)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 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 (+ (* (sin (/ -1 eps)) 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]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 eps)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ -1 eps) (/ 0 eps)) (* 0 (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 eps)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 eps))))) 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 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))))) 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 x)) 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 (+ (* (sin (/ -1 eps)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (cos (/ -1 (/ 1 (- x)))) (sin (/ -1 (/ 1 (- eps))))) into (* (cos x) (sin eps)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (* (cos eps) (sin x)) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (* (cos eps) (sin x)) in x * [misc]taylor: Taking taylor expansion of (cos eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (cos eps) into (cos eps) * [misc]backup-simplify: Simplify (sin eps) into (sin eps) * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (cos eps) (sin x)) in eps * [misc]taylor: Taking taylor expansion of (cos eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]taylor: Taking taylor expansion of (* (cos eps) (sin x)) in eps * [misc]taylor: Taking taylor expansion of (cos eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]backup-simplify: Simplify (* (sin x) 1) into (sin x) * [misc]backup-simplify: Simplify (* (cos x) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin x) 0) into (sin x) * [misc]backup-simplify: Simplify (* 1 (sin x)) into (sin x) * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin x) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos x) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (sin x))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin x) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos x) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* (- 1/2) (sin x)))) into (- (* 1/2 (sin x))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (sin x))) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (sin x)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-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))) 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 x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (- 1/2) 0) (* 0 (sin x))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (- 1/6) into -1/6 * [misc]backup-simplify: Simplify (+ (* -1/6 (pow (* x 1) 3)) (+ (* -1/2 (* x (pow eps 2))) (* 1 (* x 1)))) into (- x (+ (* 1/6 (pow x 3)) (* 1/2 (* x (pow eps 2))))) * [misc]approximate: Taking taylor expansion of (* (cos (/ 1 eps)) (sin (/ 1 x))) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 eps)) (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (cos (/ 1 eps)) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]backup-simplify: Simplify (cos (/ 1 eps)) into (cos (/ 1 eps)) * [misc]backup-simplify: Simplify (sin (/ 1 eps)) into (sin (/ 1 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 eps)) (sin (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (cos (/ 1 eps)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 (cos (/ 1 eps)) into (cos (/ 1 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 eps)) (sin (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (cos (/ 1 eps)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 (cos (/ 1 eps)) into (cos (/ 1 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) 1) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (* (cos (/ 1 x)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 x)) 0) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (* (cos (/ 1 eps)) (sin (/ 1 x))) into (* (cos (/ 1 eps)) (sin (/ 1 x))) * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 eps)) (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (cos (/ 1 eps)) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]backup-simplify: Simplify (cos (/ 1 eps)) into (cos (/ 1 eps)) * [misc]backup-simplify: Simplify (sin (/ 1 eps)) into (sin (/ 1 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (* (cos (/ 1 eps)) 1) into (cos (/ 1 eps)) * [misc]backup-simplify: Simplify (* (sin (/ 1 eps)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 eps)) 0) into (cos (/ 1 eps)) * [misc]backup-simplify: Simplify (* (cos (/ 1 eps)) (sin (/ 1 x))) into (* (cos (/ 1 eps)) (sin (/ 1 x))) * [misc]backup-simplify: Simplify (* (cos (/ 1 eps)) (sin (/ 1 x))) into (* (cos (/ 1 eps)) (sin (/ 1 x))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 eps)) 0) (* 0 (sin (/ 1 x)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]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 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 eps) (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 eps)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 eps)) 0) (* 0 (sin (/ 1 x)))) 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 x)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 eps)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]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 eps)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 eps) (/ 0 eps)) (* 0 (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 eps)) 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 (+ (* (cos (/ 1 eps)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) 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 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) 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 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 eps)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (cos (/ 1 (/ 1 eps))) (sin (/ 1 (/ 1 x)))) into (* (sin x) (cos eps)) * [misc]approximate: Taking taylor expansion of (* (cos (/ 1 (- eps))) (sin (/ 1 (- x)))) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- eps))) (sin (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- eps))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (/ 1 (- eps)) into (/ -1 eps) * [misc]backup-simplify: Simplify (cos (/ -1 eps)) into (cos (/ -1 eps)) * [misc]backup-simplify: Simplify (sin (/ -1 eps)) into (sin (/ -1 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- eps))) (sin (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- eps))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (cos (/ 1 (- eps))) into (cos (/ -1 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- eps))) (sin (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- eps))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (cos (/ 1 (- eps))) into (cos (/ -1 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) 1) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (* (cos (/ -1 x)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 x)) 0) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (* (cos (/ -1 eps)) (sin (/ -1 x))) into (* (sin (/ -1 x)) (cos (/ -1 eps))) * [misc]taylor: Taking taylor expansion of (* (sin (/ -1 x)) (cos (/ -1 eps))) in x * [misc]taylor: Taking taylor expansion of (sin (/ -1 x)) in x * [misc]taylor: Taking taylor expansion of (/ -1 x) in x * [misc]taylor: Taking taylor expansion of -1 in x * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of x in x * [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 (sin (/ -1 x)) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ -1 eps)) in x * [misc]taylor: Taking taylor expansion of (/ -1 eps) in x * [misc]taylor: Taking taylor expansion of -1 in x * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ -1 eps) into (/ -1 eps) * [misc]backup-simplify: Simplify (cos (/ -1 eps)) into (cos (/ -1 eps)) * [misc]backup-simplify: Simplify (sin (/ -1 eps)) into (sin (/ -1 eps)) * [misc]backup-simplify: Simplify (* (cos (/ -1 eps)) 1) into (cos (/ -1 eps)) * [misc]backup-simplify: Simplify (* (sin (/ -1 eps)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 eps)) 0) into (cos (/ -1 eps)) * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) (cos (/ -1 eps))) into (* (sin (/ -1 x)) (cos (/ -1 eps))) * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) (cos (/ -1 eps))) into (* (sin (/ -1 x)) (cos (/ -1 eps))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 eps)) 0) (* 0 (sin (/ -1 x)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]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 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ -1 eps) (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 eps)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (cos (/ -1 eps)))) 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 x)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 eps)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]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 eps)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ -1 eps) (/ 0 eps)) (* 0 (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 eps)) 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 (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (cos (/ -1 eps))))) 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 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))))) 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 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 eps)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (sin (/ -1 (/ 1 (- x)))) (cos (/ -1 (/ 1 (- eps))))) into (* (sin x) (cos eps)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) in x * [misc]taylor: Taking taylor expansion of (* (sin eps) (cos x)) in x * [misc]taylor: Taking taylor expansion of (sin eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (sin eps) into (sin eps) * [misc]backup-simplify: Simplify (cos eps) into (cos eps) * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (* (cos eps) (sin x)) (sin x)) in x * [misc]taylor: Taking taylor expansion of (* (cos eps) (sin x)) in x * [misc]taylor: Taking taylor expansion of (cos eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (cos eps) into (cos eps) * [misc]backup-simplify: Simplify (sin eps) into (sin eps) * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) in eps * [misc]taylor: Taking taylor expansion of (* (sin eps) (cos x)) in eps * [misc]taylor: Taking taylor expansion of (sin eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]taylor: Taking taylor expansion of (- (* (cos eps) (sin x)) (sin x)) in eps * [misc]taylor: Taking taylor expansion of (* (cos eps) (sin x)) in eps * [misc]taylor: Taking taylor expansion of (cos eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]taylor: Taking taylor expansion of (sin x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]taylor: Taking taylor expansion of (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x))) in eps * [misc]taylor: Taking taylor expansion of (* (sin eps) (cos x)) in eps * [misc]taylor: Taking taylor expansion of (sin eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]taylor: Taking taylor expansion of (- (* (cos eps) (sin x)) (sin x)) in eps * [misc]taylor: Taking taylor expansion of (* (cos eps) (sin x)) in eps * [misc]taylor: Taking taylor expansion of (cos eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]taylor: Taking taylor expansion of (sin x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]backup-simplify: Simplify (* (cos x) 1) into (cos x) * [misc]backup-simplify: Simplify (* (sin x) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos x) 0) into (cos x) * [misc]backup-simplify: Simplify (* 0 (cos x)) into 0 * [misc]backup-simplify: Simplify (* (sin x) 1) into (sin x) * [misc]backup-simplify: Simplify (* (cos x) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin x) 0) into (sin x) * [misc]backup-simplify: Simplify (* 1 (sin x)) into (sin x) * [misc]backup-simplify: Simplify (* (sin x) 1) into (sin x) * [misc]backup-simplify: Simplify (* (cos x) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin x) 0) into (sin x) * [misc]backup-simplify: Simplify (- (sin x)) into (- (sin x)) * [misc]backup-simplify: Simplify (+ (sin x) (- (sin x))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]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 x) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin x) 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 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (cos x))) into (cos x) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin x) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos x) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (sin x))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin x) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos x) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (cos x) 0) into (cos x) * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos x) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin x) 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 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos x)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin x) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos x) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* (- 1/2) (sin x)))) into (- (* 1/2 (sin x))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin x) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos x) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/2 (sin x))) 0) into (- (* 1/2 (sin x))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (sin x)))) into (- (* 1/2 (sin x))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (sin x))) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (sin x)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin x) 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 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* (- 1/6) (cos x))))) into (- (* 1/6 (cos x))) * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (- 1/2) 0) (* 0 (sin x))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/6 (cos x))) 0) into (- (* 1/6 (cos x))) * [misc]taylor: Taking taylor expansion of (- (* 1/6 (cos x))) in x * [misc]taylor: Taking taylor expansion of (* 1/6 (cos x)) in x * [misc]taylor: Taking taylor expansion of 1/6 in x * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/6 1) into 1/6 * [misc]backup-simplify: Simplify (- 1/6) into -1/6 * [misc]backup-simplify: Simplify -1/6 into -1/6 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (* x (pow eps 2))) (+ (* -1/6 (pow (* 1 eps) 3)) (* 1 (* 1 eps)))) into (- eps (+ (* 1/6 (pow eps 3)) (* 1/2 (* x (pow eps 2))))) * [misc]approximate: Taking taylor expansion of (+ (* (sin (/ 1 eps)) (cos (/ 1 x))) (- (* (cos (/ 1 eps)) (sin (/ 1 x))) (sin (/ 1 x)))) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 eps)) (cos (/ 1 x))) (- (* (cos (/ 1 eps)) (sin (/ 1 x))) (sin (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 eps)) (cos (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 eps)) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]backup-simplify: Simplify (sin (/ 1 eps)) into (sin (/ 1 eps)) * [misc]backup-simplify: Simplify (cos (/ 1 eps)) into (cos (/ 1 eps)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]taylor: Taking taylor expansion of (- (* (cos (/ 1 eps)) (sin (/ 1 x))) (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 eps)) (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (cos (/ 1 eps)) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]backup-simplify: Simplify (cos (/ 1 eps)) into (cos (/ 1 eps)) * [misc]backup-simplify: Simplify (sin (/ 1 eps)) into (sin (/ 1 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 eps)) (cos (/ 1 x))) (- (* (cos (/ 1 eps)) (sin (/ 1 x))) (sin (/ 1 x)))) in eps * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 eps)) (cos (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ 1 eps)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 (sin (/ 1 eps)) into (sin (/ 1 eps)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (- (* (cos (/ 1 eps)) (sin (/ 1 x))) (sin (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 eps)) (sin (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (cos (/ 1 eps)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 (cos (/ 1 eps)) into (cos (/ 1 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 eps)) (cos (/ 1 x))) (- (* (cos (/ 1 eps)) (sin (/ 1 x))) (sin (/ 1 x)))) in eps * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 eps)) (cos (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ 1 eps)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 (sin (/ 1 eps)) into (sin (/ 1 eps)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (- (* (cos (/ 1 eps)) (sin (/ 1 x))) (sin (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 eps)) (sin (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (cos (/ 1 eps)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 (cos (/ 1 eps)) into (cos (/ 1 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (* (cos (/ 1 x)) 1) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 x)) 0) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (* (sin (/ 1 eps)) (cos (/ 1 x))) into (* (sin (/ 1 eps)) (cos (/ 1 x))) * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) 1) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (* (cos (/ 1 x)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 x)) 0) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (* (cos (/ 1 eps)) (sin (/ 1 x))) into (* (cos (/ 1 eps)) (sin (/ 1 x))) * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) 1) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (* (cos (/ 1 x)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 x)) 0) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (- (sin (/ 1 x))) into (- (sin (/ 1 x))) * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 eps)) (sin (/ 1 x))) (- (sin (/ 1 x)))) into (- (* (cos (/ 1 eps)) (sin (/ 1 x))) (sin (/ 1 x))) * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 eps)) (cos (/ 1 x))) (- (* (cos (/ 1 eps)) (sin (/ 1 x))) (sin (/ 1 x)))) into (- (+ (* (cos (/ 1 eps)) (sin (/ 1 x))) (* (sin (/ 1 eps)) (cos (/ 1 x)))) (sin (/ 1 x))) * [misc]taylor: Taking taylor expansion of (- (+ (* (cos (/ 1 eps)) (sin (/ 1 x))) (* (sin (/ 1 eps)) (cos (/ 1 x)))) (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (+ (* (cos (/ 1 eps)) (sin (/ 1 x))) (* (sin (/ 1 eps)) (cos (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 eps)) (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (cos (/ 1 eps)) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]backup-simplify: Simplify (cos (/ 1 eps)) into (cos (/ 1 eps)) * [misc]backup-simplify: Simplify (sin (/ 1 eps)) into (sin (/ 1 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 eps)) (cos (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 eps)) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]backup-simplify: Simplify (sin (/ 1 eps)) into (sin (/ 1 eps)) * [misc]backup-simplify: Simplify (cos (/ 1 eps)) into (cos (/ 1 eps)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (* (cos (/ 1 eps)) 1) into (cos (/ 1 eps)) * [misc]backup-simplify: Simplify (* (sin (/ 1 eps)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 eps)) 0) into (cos (/ 1 eps)) * [misc]backup-simplify: Simplify (* (cos (/ 1 eps)) (sin (/ 1 x))) into (* (cos (/ 1 eps)) (sin (/ 1 x))) * [misc]backup-simplify: Simplify (* (sin (/ 1 eps)) 1) into (sin (/ 1 eps)) * [misc]backup-simplify: Simplify (* (cos (/ 1 eps)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 eps)) 0) into (sin (/ 1 eps)) * [misc]backup-simplify: Simplify (* (sin (/ 1 eps)) (cos (/ 1 x))) into (* (sin (/ 1 eps)) (cos (/ 1 x))) * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 eps)) (sin (/ 1 x))) (* (sin (/ 1 eps)) (cos (/ 1 x)))) into (+ (* (cos (/ 1 eps)) (sin (/ 1 x))) (* (sin (/ 1 eps)) (cos (/ 1 x)))) * [misc]backup-simplify: Simplify (- (sin (/ 1 x))) into (- (sin (/ 1 x))) * [misc]backup-simplify: Simplify (+ (+ (* (cos (/ 1 eps)) (sin (/ 1 x))) (* (sin (/ 1 eps)) (cos (/ 1 x)))) (- (sin (/ 1 x)))) into (- (+ (* (cos (/ 1 eps)) (sin (/ 1 x))) (* (sin (/ 1 eps)) (cos (/ 1 x)))) (sin (/ 1 x))) * [misc]backup-simplify: Simplify (- (+ (* (cos (/ 1 eps)) (sin (/ 1 x))) (* (sin (/ 1 eps)) (cos (/ 1 x)))) (sin (/ 1 x))) into (- (+ (* (cos (/ 1 eps)) (sin (/ 1 x))) (* (sin (/ 1 eps)) (cos (/ 1 x)))) (sin (/ 1 x))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 eps)) 0) (* 0 (cos (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 eps)) 0) (* 0 (sin (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 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) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]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 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 eps) (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 eps)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 eps)) 0) (* 0 (sin (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 eps) (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 eps)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 eps)) 0) (* 0 (cos (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify (+ 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 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 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 (+ (* (sin (/ 1 eps)) 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 eps)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 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) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]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 eps)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 eps) (/ 0 eps)) (* 0 (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 eps)) 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 (+ (* (cos (/ 1 eps)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 eps)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 eps) (/ 0 eps)) (* 0 (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 eps)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 eps)) 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (+ 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 (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) 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 x)) 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 (+ (* (sin (/ 1 eps)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))) 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 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) 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 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 eps)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) 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 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) 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 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 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) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (cos (/ 1 (/ 1 eps))) (sin (/ 1 (/ 1 x)))) (* (sin (/ 1 (/ 1 eps))) (cos (/ 1 (/ 1 x))))) (sin (/ 1 (/ 1 x)))) into (- (+ (* (cos x) (sin eps)) (* (sin x) (cos eps))) (sin x)) * [misc]approximate: Taking taylor expansion of (+ (* (sin (/ 1 (- eps))) (cos (/ 1 (- x)))) (- (* (cos (/ 1 (- eps))) (sin (/ 1 (- x)))) (sin (/ 1 (- x))))) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 (- eps))) (cos (/ 1 (- x)))) (- (* (cos (/ 1 (- eps))) (sin (/ 1 (- x)))) (sin (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- eps))) (cos (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- eps))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (/ 1 (- eps)) into (/ -1 eps) * [misc]backup-simplify: Simplify (sin (/ -1 eps)) into (sin (/ -1 eps)) * [misc]backup-simplify: Simplify (cos (/ -1 eps)) into (cos (/ -1 eps)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]taylor: Taking taylor expansion of (- (* (cos (/ 1 (- eps))) (sin (/ 1 (- x)))) (sin (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- eps))) (sin (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- eps))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (/ 1 (- eps)) into (/ -1 eps) * [misc]backup-simplify: Simplify (cos (/ -1 eps)) into (cos (/ -1 eps)) * [misc]backup-simplify: Simplify (sin (/ -1 eps)) into (sin (/ -1 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 (- eps))) (cos (/ 1 (- x)))) (- (* (cos (/ 1 (- eps))) (sin (/ 1 (- x)))) (sin (/ 1 (- x))))) in eps * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- eps))) (cos (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- eps))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (sin (/ 1 (- eps))) into (sin (/ -1 eps)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (- (* (cos (/ 1 (- eps))) (sin (/ 1 (- x)))) (sin (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- eps))) (sin (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- eps))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (cos (/ 1 (- eps))) into (cos (/ -1 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 (- eps))) (cos (/ 1 (- x)))) (- (* (cos (/ 1 (- eps))) (sin (/ 1 (- x)))) (sin (/ 1 (- x))))) in eps * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- eps))) (cos (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- eps))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (sin (/ 1 (- eps))) into (sin (/ -1 eps)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (- (* (cos (/ 1 (- eps))) (sin (/ 1 (- x)))) (sin (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- eps))) (sin (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- eps))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (cos (/ 1 (- eps))) into (cos (/ -1 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (* (cos (/ -1 x)) 1) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 x)) 0) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (* (sin (/ -1 eps)) (cos (/ -1 x))) into (* (cos (/ -1 x)) (sin (/ -1 eps))) * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) 1) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (* (cos (/ -1 x)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 x)) 0) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (* (cos (/ -1 eps)) (sin (/ -1 x))) into (* (sin (/ -1 x)) (cos (/ -1 eps))) * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) 1) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (* (cos (/ -1 x)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 x)) 0) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (- (sin (/ -1 x))) into (- (sin (/ -1 x))) * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) (cos (/ -1 eps))) (- (sin (/ -1 x)))) into (- (* (sin (/ -1 x)) (cos (/ -1 eps))) (sin (/ -1 x))) * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) (sin (/ -1 eps))) (- (* (sin (/ -1 x)) (cos (/ -1 eps))) (sin (/ -1 x)))) into (- (+ (* (sin (/ -1 x)) (cos (/ -1 eps))) (* (cos (/ -1 x)) (sin (/ -1 eps)))) (sin (/ -1 x))) * [misc]taylor: Taking taylor expansion of (- (+ (* (sin (/ -1 x)) (cos (/ -1 eps))) (* (cos (/ -1 x)) (sin (/ -1 eps)))) (sin (/ -1 x))) in x * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ -1 x)) (cos (/ -1 eps))) (* (cos (/ -1 x)) (sin (/ -1 eps)))) in x * [misc]taylor: Taking taylor expansion of (* (sin (/ -1 x)) (cos (/ -1 eps))) in x * [misc]taylor: Taking taylor expansion of (sin (/ -1 x)) in x * [misc]taylor: Taking taylor expansion of (/ -1 x) in x * [misc]taylor: Taking taylor expansion of -1 in x * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of x in x * [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 (sin (/ -1 x)) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ -1 eps)) in x * [misc]taylor: Taking taylor expansion of (/ -1 eps) in x * [misc]taylor: Taking taylor expansion of -1 in x * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ -1 eps) into (/ -1 eps) * [misc]backup-simplify: Simplify (cos (/ -1 eps)) into (cos (/ -1 eps)) * [misc]backup-simplify: Simplify (sin (/ -1 eps)) into (sin (/ -1 eps)) * [misc]taylor: Taking taylor expansion of (* (cos (/ -1 x)) (sin (/ -1 eps))) in x * [misc]taylor: Taking taylor expansion of (cos (/ -1 x)) in x * [misc]taylor: Taking taylor expansion of (/ -1 x) in x * [misc]taylor: Taking taylor expansion of -1 in x * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of x in x * [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 (cos (/ -1 x)) into (cos (/ -1 x)) * [misc]taylor: Taking taylor expansion of (sin (/ -1 eps)) in x * [misc]taylor: Taking taylor expansion of (/ -1 eps) in x * [misc]taylor: Taking taylor expansion of -1 in x * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ -1 eps) into (/ -1 eps) * [misc]backup-simplify: Simplify (sin (/ -1 eps)) into (sin (/ -1 eps)) * [misc]backup-simplify: Simplify (cos (/ -1 eps)) into (cos (/ -1 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ -1 x)) in x * [misc]taylor: Taking taylor expansion of (/ -1 x) in x * [misc]taylor: Taking taylor expansion of -1 in x * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of x in x * [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 (sin (/ -1 x)) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (* (cos (/ -1 eps)) 1) into (cos (/ -1 eps)) * [misc]backup-simplify: Simplify (* (sin (/ -1 eps)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 eps)) 0) into (cos (/ -1 eps)) * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) (cos (/ -1 eps))) into (* (sin (/ -1 x)) (cos (/ -1 eps))) * [misc]backup-simplify: Simplify (* (sin (/ -1 eps)) 1) into (sin (/ -1 eps)) * [misc]backup-simplify: Simplify (* (cos (/ -1 eps)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 eps)) 0) into (sin (/ -1 eps)) * [misc]backup-simplify: Simplify (* (cos (/ -1 x)) (sin (/ -1 eps))) into (* (cos (/ -1 x)) (sin (/ -1 eps))) * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) (cos (/ -1 eps))) (* (cos (/ -1 x)) (sin (/ -1 eps)))) into (+ (* (sin (/ -1 x)) (cos (/ -1 eps))) (* (cos (/ -1 x)) (sin (/ -1 eps)))) * [misc]backup-simplify: Simplify (- (sin (/ -1 x))) into (- (sin (/ -1 x))) * [misc]backup-simplify: Simplify (+ (+ (* (sin (/ -1 x)) (cos (/ -1 eps))) (* (cos (/ -1 x)) (sin (/ -1 eps)))) (- (sin (/ -1 x)))) into (- (+ (* (sin (/ -1 x)) (cos (/ -1 eps))) (* (cos (/ -1 x)) (sin (/ -1 eps)))) (sin (/ -1 x))) * [misc]backup-simplify: Simplify (- (+ (* (sin (/ -1 x)) (cos (/ -1 eps))) (* (cos (/ -1 x)) (sin (/ -1 eps)))) (sin (/ -1 x))) into (- (+ (* (sin (/ -1 x)) (cos (/ -1 eps))) (* (cos (/ -1 x)) (sin (/ -1 eps)))) (sin (/ -1 x))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 eps)) 0) (* 0 (cos (/ -1 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 eps)) 0) (* 0 (sin (/ -1 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 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) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]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 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ -1 eps) (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 eps)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (cos (/ -1 eps)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ -1 eps) (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 eps)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 (sin (/ -1 eps)))) into 0 * [misc]backup-simplify: Simplify (+ 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 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 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 (+ (* (sin (/ -1 eps)) 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 eps)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 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) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]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 eps)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ -1 eps) (/ 0 eps)) (* 0 (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 eps)) 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 (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (cos (/ -1 eps))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 eps)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ -1 eps) (/ 0 eps)) (* 0 (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 eps)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 eps))))) into 0 * [misc]backup-simplify: Simplify (+ 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 (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))))) 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 x)) 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 (+ (* (sin (/ -1 eps)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))) 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 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))))) 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 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 eps)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) 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 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))))) 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 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 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) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (sin (/ -1 (/ 1 (- x)))) (cos (/ -1 (/ 1 (- eps))))) (* (cos (/ -1 (/ 1 (- x)))) (sin (/ -1 (/ 1 (- eps)))))) (sin (/ -1 (/ 1 (- x))))) into (- (+ (* (cos x) (sin eps)) (* (sin x) (cos eps))) (sin x)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (* (cos eps) (sin x))) (exp (sin x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (exp (- (* (sin x) (cos eps)) (sin x))) * [misc]simplify: Simplified (2 2 1) to (λ (x eps) (+ (* (sin eps) (cos x)) (log (exp (- (* (sin x) (cos eps)) (sin x)))))) * * * * [misc]progress: [ 2 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (sin x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sin x) * [misc]simplify: Simplified (2 2 1) to (λ (x eps) (+ (* (sin eps) (cos x)) (* (sin x) (- (cos eps) 1)))) * [enter]simplify: Simplifying (- (cos eps) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (10 enodes) * [exit]simplify: Simplified to (- (cos eps) 1) * [misc]simplify: Simplified (2 2 2) to (λ (x eps) (+ (* (sin eps) (cos x)) (* (sin x) (- (cos eps) 1)))) * * * * [misc]progress: [ 13 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sin (- eps x)) (sin (+ eps x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (+ (sin (- eps x)) (sin (+ x eps))) * [misc]simplify: Simplified (2 1 1) to (λ (x eps) (+ (/ (+ (sin (- eps x)) (sin (+ x eps))) 2) (- (* (cos eps) (sin x)) (sin x)))) * * * * [misc]progress: [ 15 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin eps) (cos x)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (* (cos x) (sin eps)) * [misc]simplify: Simplified (2 1 1) to (λ (x eps) (+ (pow (* (cos x) (sin eps)) 1) (- (* (cos eps) (sin x)) (sin x)))) * * * * [misc]progress: [ 16 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sin eps)) (log (cos x))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (+ (log (cos x)) (log (sin eps))) * [misc]simplify: Simplified (2 1 1) to (λ (x eps) (+ (exp (+ (log (cos x)) (log (sin eps)))) (- (* (cos eps) (sin x)) (sin x)))) * * * * [misc]progress: [ 18 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sin eps) (sin eps)) (sin eps)) (* (* (cos x) (cos x)) (cos x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to (pow (* (cos x) (sin eps)) 3) * [misc]simplify: Simplified (2 1 1) to (λ (x eps) (+ (cbrt (pow (* (cos x) (sin eps)) 3)) (- (* (cos eps) (sin x)) (sin x)))) * * * * [misc]progress: [ 21 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cos x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (cos x)) * [misc]simplify: Simplified (2 1 2) to (λ (x eps) (+ (* (* (sin eps) (* (cbrt (cos x)) (cbrt (cos x)))) (cbrt (cos x))) (- (* (cos eps) (sin x)) (sin x)))) * * * * [misc]progress: [ 26 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cos x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (cos x)) * [misc]simplify: Simplified (2 1 2) to (λ (x eps) (+ (* (* (sin eps) (sqrt (cos x))) (sqrt (cos x))) (- (* (cos eps) (sin x)) (sin x)))) * * * * [misc]progress: [ 27 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (cos x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cos x) * [misc]simplify: Simplified (2 1 2) to (λ (x eps) (+ (* (* (sin eps) 1) (cos x)) (- (* (cos eps) (sin x)) (sin x)))) * * * * [misc]progress: [ 28 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sin eps)) (cbrt (sin eps))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (* (cbrt (sin eps)) (cbrt (sin eps))) * [misc]simplify: Simplified (2 1 1) to (λ (x eps) (+ (* (* (cbrt (sin eps)) (cbrt (sin eps))) (* (cbrt (sin eps)) (cos x))) (- (* (cos eps) (sin x)) (sin x)))) * * * * [misc]progress: [ 29 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sin eps)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (sin eps)) * [misc]simplify: Simplified (2 1 1) to (λ (x eps) (+ (* (sqrt (sin eps)) (* (sqrt (sin eps)) (cos x))) (- (* (cos eps) (sin x)) (sin x)))) * * * * [misc]progress: [ 30 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos eps) (sin x)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (* (sin x) (cos eps)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x eps) (+ (* (sin eps) (cos x)) (- (pow (* (sin x) (cos eps)) 1) (sin x)))) * * * * [misc]progress: [ 33 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (cos eps)) (log (sin x))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (+ (log (sin x)) (log (cos eps))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x eps) (+ (* (sin eps) (cos x)) (- (exp (+ (log (sin x)) (log (cos eps)))) (sin x)))) * * * * [misc]progress: [ 35 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (cos eps) (cos eps)) (cos eps)) (* (* (sin x) (sin x)) (sin x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to (pow (* (sin x) (cos eps)) 3) * [misc]simplify: Simplified (2 2 1 1) to (λ (x eps) (+ (* (sin eps) (cos x)) (- (cbrt (pow (* (sin x) (cos eps)) 3)) (sin x)))) * * * * [misc]progress: [ 38 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sin x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (sin x)) * [misc]simplify: Simplified (2 2 1 2) to (λ (x eps) (+ (* (sin eps) (cos x)) (- (* (* (cos eps) (* (cbrt (sin x)) (cbrt (sin x)))) (cbrt (sin x))) (sin x)))) * * * * [misc]progress: [ 43 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sin x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (sin x)) * [misc]simplify: Simplified (2 2 1 2) to (λ (x eps) (+ (* (sin eps) (cos x)) (- (* (* (cos eps) (sqrt (sin x))) (sqrt (sin x))) (sin x)))) * * * * [misc]progress: [ 44 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (sin x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sin x) * [misc]simplify: Simplified (2 2 1 2) to (λ (x eps) (+ (* (sin eps) (cos x)) (- (* (* (cos eps) 1) (sin x)) (sin x)))) * * * * [misc]progress: [ 45 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cos eps)) (cbrt (cos eps))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (* (cbrt (cos eps)) (cbrt (cos eps))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x eps) (+ (* (sin eps) (cos x)) (- (* (* (cbrt (cos eps)) (cbrt (cos eps))) (* (cbrt (cos eps)) (sin x))) (sin x)))) * * * * [misc]progress: [ 46 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cos eps)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (cos eps)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x eps) (+ (* (sin eps) (cos x)) (- (* (sqrt (cos eps)) (* (sqrt (cos eps)) (sin x))) (sin x)))) * * * * [misc]progress: [ 47 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (* (sin eps) (cos x))) (/ (exp (* (cos eps) (sin x))) (exp (sin x)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (exp (+ (* (cos x) (sin eps)) (- (* (sin x) (cos eps)) (sin x)))) * [misc]simplify: Simplified (2 1) to (λ (x eps) (log (exp (+ (* (cos x) (sin eps)) (- (* (sin x) (cos eps)) (sin x)))))) * * * * [misc]progress: [ 50 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (* (sin eps) (cos x))) (exp (- (* (cos eps) (sin x)) (sin x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to (exp (+ (- (* (cos x) (sin eps)) (sin x)) (* (sin x) (cos eps)))) * [misc]simplify: Simplified (2 1) to (λ (x eps) (log (exp (+ (- (* (cos x) (sin eps)) (sin x)) (* (sin x) (cos eps)))))) * * * * [misc]progress: [ 51 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (+ (sin (- eps x)) (sin (+ eps x))) (+ (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (+ (* (sin x) (sin x)) (* (* (cos eps) (sin x)) (sin x))))) (* 2 (- (pow (* (cos eps) (sin x)) 3) (pow (sin x) 3)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (168 enodes) * [exit]simplify: Simplified to (+ (+ (* (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (+ (sin (- eps x)) (sin (+ x eps)))) (* (* (+ (cos eps) 1) (* (sin x) (sin x))) (+ (sin (- eps x)) (sin (+ x eps))))) (+ (* (* (* (sin x) (sin x)) (- (sin x))) 2) (* (* 2 (* (cos eps) (sin x))) (* (* (cos eps) (sin x)) (* (cos eps) (sin x)))))) * [misc]simplify: Simplified (2 1) to (λ (x eps) (/ (+ (+ (* (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (+ (sin (- eps x)) (sin (+ x eps)))) (* (* (+ (cos eps) 1) (* (sin x) (sin x))) (+ (sin (- eps x)) (sin (+ x eps))))) (+ (* (* (* (sin x) (sin x)) (- (sin x))) 2) (* (* 2 (* (cos eps) (sin x))) (* (* (cos eps) (sin x)) (* (cos eps) (sin x)))))) (* 2 (+ (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (+ (* (sin x) (sin x)) (* (* (cos eps) (sin x)) (sin x))))))) * [enter]simplify: Simplifying (* 2 (+ (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (+ (* (sin x) (sin x)) (* (* (cos eps) (sin x)) (sin x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (187 enodes) * * [misc]simplify: iters left: 2 (398 enodes) * [exit]simplify: Simplified to (* (* (* (sin x) (sin x)) 2) (+ (* (cos eps) (cos eps)) (+ 1 (cos eps)))) * [misc]simplify: Simplified (2 2) to (λ (x eps) (/ (+ (* (+ (sin (- eps x)) (sin (+ eps x))) (+ (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (+ (* (sin x) (sin x)) (* (* (cos eps) (sin x)) (sin x))))) (* 2 (- (pow (* (cos eps) (sin x)) 3) (pow (sin x) 3)))) (* (* (* (sin x) (sin x)) 2) (+ (* (cos eps) (cos eps)) (+ 1 (cos eps)))))) * * * * [misc]progress: [ 58 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (+ (sin (- eps x)) (sin (+ eps x))) (+ (* (cos eps) (sin x)) (sin x))) (* 2 (- (* (* (cos eps) (sin x)) (* (cos eps) (sin x))) (* (sin x) (sin x))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (369 enodes) * [exit]simplify: Simplified to (+ (* (+ (sin (- eps x)) (sin (+ x eps))) (+ (* (cos eps) (sin x)) (sin x))) (* (- (* (cos eps) (sin x)) (sin x)) (* (* (sin x) 2) (+ (cos eps) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x eps) (/ (+ (* (+ (sin (- eps x)) (sin (+ x eps))) (+ (* (cos eps) (sin x)) (sin x))) (* (- (* (cos eps) (sin x)) (sin x)) (* (* (sin x) 2) (+ (cos eps) 1)))) (* 2 (+ (* (cos eps) (sin x)) (sin x))))) * [enter]simplify: Simplifying (* 2 (+ (* (cos eps) (sin x)) (sin x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (217 enodes) * [exit]simplify: Simplified to (* (+ (cos eps) 1) (* 2 (sin x))) * [misc]simplify: Simplified (2 2) to (λ (x eps) (/ (+ (* (+ (sin (- eps x)) (sin (+ x eps))) (+ (* (cos eps) (sin x)) (sin x))) (* (- (* (cos eps) (sin x)) (sin x)) (* (* (sin x) 2) (+ (cos eps) 1)))) (* (+ (cos eps) 1) (* 2 (sin x))))) * * * * [misc]progress: [ 59 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sin x)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (sin x)) * [misc]simplify: Simplified (2 2) to (λ (x eps) (+ (+ (* (sin eps) (cos x)) (* (cos eps) (sin x))) (- (sin x)))) * * * * [misc]progress: [ 63 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sin x)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (sin x)) * [misc]simplify: Simplified (2 2) to (λ (x eps) (+ (+ (* (sin eps) (cos x)) (* (cos eps) (sin x))) (- (sin x)))) * * * * [misc]progress: [ 64 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (sin x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sin x) * [misc]simplify: Simplified (2 2) to (λ (x eps) (- (+ (* (sin eps) (cos x)) (* (cos eps) (sin x))) (sin x))) * * * * [misc]progress: [ 65 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x eps) (+ (* (sin eps) (cos x)) 0)) * * * * [misc]progress: [ 67 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (sin x) (cos eps)) (sin x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (- (* (cos eps) (sin x)) (sin x)) * [misc]simplify: Simplified (2 2) to (λ (x eps) (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x)))) * * * * [misc]progress: [ 68 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (sin x) (cos eps)) (sin x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (- (* (cos eps) (sin x)) (sin x)) * [misc]simplify: Simplified (2 2) to (λ (x eps) (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x)))) * * * * [misc]progress: [ 69 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (- eps (+ (* 1/6 (pow eps 3)) (* 1/2 (* (pow x 2) eps)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (256 enodes) * * [misc]simplify: iters left: 1 (372 enodes) * [exit]simplify: Simplified to (- (* (* eps eps) (* eps -1/6)) (- (* (* 1/2 eps) (* x x)) eps)) * [misc]simplify: Simplified (2 1) to (λ (x eps) (+ (- (* (* eps eps) (* eps -1/6)) (- (* (* 1/2 eps) (* x x)) eps)) (- (* (cos eps) (sin x)) (sin x)))) * * * * [misc]progress: [ 70 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos x) (sin eps)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (* (sin eps) (cos x)) * [misc]simplify: Simplified (2 1) to (λ (x eps) (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x)))) * * * * [misc]progress: [ 71 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos x) (sin eps)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (* (sin eps) (cos x)) * [misc]simplify: Simplified (2 1) to (λ (x eps) (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x)))) * * * * [misc]progress: [ 72 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (- x (+ (* 1/6 (pow x 3)) (* 1/2 (* x (pow eps 2))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (138 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * * [misc]simplify: iters left: 1 (391 enodes) * [exit]simplify: Simplified to (+ (- x (* (* x x) (* x 1/6))) (* (* -1/2 eps) (* x eps))) * [misc]simplify: Simplified (2 2 1) to (λ (x eps) (+ (* (sin eps) (cos x)) (- (+ (- x (* (* x x) (* x 1/6))) (* (* -1/2 eps) (* x eps))) (sin x)))) * * * * [misc]progress: [ 73 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin x) (cos eps)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (* (cos eps) (sin x)) * [misc]simplify: Simplified (2 2 1) to (λ (x eps) (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x)))) * * * * [misc]progress: [ 74 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin x) (cos eps)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (* (cos eps) (sin x)) * [misc]simplify: Simplified (2 2 1) to (λ (x eps) (+ (* (sin eps) (cos x)) (- (* (cos eps) (sin x)) (sin x)))) * * * * [misc]progress: [ 75 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (- eps (+ (* 1/6 (pow eps 3)) (* 1/2 (* x (pow eps 2))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (143 enodes) * * [misc]simplify: iters left: 2 (291 enodes) * * [misc]simplify: iters left: 1 (481 enodes) * [exit]simplify: Simplified to (+ (* (- (* eps -1/6) (* 1/2 x)) (* eps eps)) eps) * [misc]simplify: Simplified (2) to (λ (x eps) (+ (* (- (* eps -1/6) (* 1/2 x)) (* eps eps)) eps)) * * * * [misc]progress: [ 76 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* (cos x) (sin eps)) (* (sin x) (cos eps))) (sin x)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (- (* (sin eps) (cos x)) (- (sin x) (* (sin x) (cos eps)))) * [misc]simplify: Simplified (2) to (λ (x eps) (- (* (sin eps) (cos x)) (- (sin x) (* (sin x) (cos eps))))) * * * * [misc]progress: [ 77 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* (cos x) (sin eps)) (* (sin x) (cos eps))) (sin x)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (- (* (sin eps) (cos x)) (- (sin x) (* (sin x) (cos eps)))) * [misc]simplify: Simplified (2) to (λ (x eps) (- (* (sin eps) (cos x)) (- (sin x) (* (sin x) (cos eps))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (- (cos eps) 1) in (eps) around 0 * [misc]taylor: Taking taylor expansion of (- (cos eps) 1) in eps * [misc]taylor: Taking taylor expansion of (cos eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (cos eps) 1) in eps * [misc]taylor: Taking taylor expansion of (cos eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 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 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- 1/2) 0) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 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 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/24 0) into 1/24 * [misc]backup-simplify: Simplify 1/24 into 1/24 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 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 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into (- 1/720) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- 1/720) 0) into -1/720 * [misc]backup-simplify: Simplify -1/720 into -1/720 * [misc]backup-simplify: Simplify (+ (* -1/720 (pow eps 6)) (+ (* 1/24 (pow eps 4)) (* -1/2 (pow eps 2)))) into (- (* 1/24 (pow eps 4)) (+ (* 1/2 (pow eps 2)) (* 1/720 (pow eps 6)))) * [misc]approximate: Taking taylor expansion of (- (cos (/ 1 eps)) 1) in (eps) around 0 * [misc]taylor: Taking taylor expansion of (- (cos (/ 1 eps)) 1) in eps * [misc]taylor: Taking taylor expansion of (cos (/ 1 eps)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 (cos (/ 1 eps)) into (cos (/ 1 eps)) * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (cos (/ 1 eps)) 1) in eps * [misc]taylor: Taking taylor expansion of (cos (/ 1 eps)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 (cos (/ 1 eps)) into (cos (/ 1 eps)) * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (cos (/ 1 eps)) -1) into (- (cos (/ 1 eps)) 1) * [misc]backup-simplify: Simplify (- (cos (/ 1 eps)) 1) into (- (cos (/ 1 eps)) 1) * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (cos (/ 1 (/ 1 eps))) 1) into (- (cos eps) 1) * [misc]approximate: Taking taylor expansion of (- (cos (/ 1 (- eps))) 1) in (eps) around 0 * [misc]taylor: Taking taylor expansion of (- (cos (/ 1 (- eps))) 1) in eps * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- eps))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (cos (/ 1 (- eps))) into (cos (/ -1 eps)) * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (cos (/ 1 (- eps))) 1) in eps * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- eps))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (cos (/ 1 (- eps))) into (cos (/ -1 eps)) * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (cos (/ -1 eps)) -1) into (- (cos (/ -1 eps)) 1) * [misc]backup-simplify: Simplify (- (cos (/ -1 eps)) 1) into (- (cos (/ -1 eps)) 1) * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (cos (/ -1 (/ 1 (- eps)))) 1) into (- (cos eps) 1) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (* (sin eps) (cos x)) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (* (sin eps) (cos x)) in x * [misc]taylor: Taking taylor expansion of (sin eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (sin eps) into (sin eps) * [misc]backup-simplify: Simplify (cos eps) into (cos eps) * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sin eps) (cos x)) in eps * [misc]taylor: Taking taylor expansion of (sin eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]taylor: Taking taylor expansion of (* (sin eps) (cos x)) in eps * [misc]taylor: Taking taylor expansion of (sin eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]backup-simplify: Simplify (* (cos x) 1) into (cos x) * [misc]backup-simplify: Simplify (* (sin x) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos x) 0) into (cos x) * [misc]backup-simplify: Simplify (* 0 (cos x)) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]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 x) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin x) 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 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (cos x))) into (cos x) * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos x) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin x) 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 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos x)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin x) 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 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* (- 1/6) (cos x))))) into (- (* 1/6 (cos x))) * [misc]taylor: Taking taylor expansion of (- (* 1/6 (cos x))) in x * [misc]taylor: Taking taylor expansion of (* 1/6 (cos x)) in x * [misc]taylor: Taking taylor expansion of 1/6 in x * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/6 1) into 1/6 * [misc]backup-simplify: Simplify (- 1/6) into -1/6 * [misc]backup-simplify: Simplify -1/6 into -1/6 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (* (pow x 2) eps)) (+ (* -1/6 (pow (* 1 eps) 3)) (* 1 (* 1 eps)))) into (- eps (+ (* 1/6 (pow eps 3)) (* 1/2 (* (pow x 2) eps)))) * [misc]approximate: Taking taylor expansion of (* (sin (/ 1 eps)) (cos (/ 1 x))) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 eps)) (cos (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 eps)) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]backup-simplify: Simplify (sin (/ 1 eps)) into (sin (/ 1 eps)) * [misc]backup-simplify: Simplify (cos (/ 1 eps)) into (cos (/ 1 eps)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 eps)) (cos (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ 1 eps)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 (sin (/ 1 eps)) into (sin (/ 1 eps)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 eps)) (cos (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ 1 eps)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 (sin (/ 1 eps)) into (sin (/ 1 eps)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (* (cos (/ 1 x)) 1) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 x)) 0) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (* (sin (/ 1 eps)) (cos (/ 1 x))) into (* (sin (/ 1 eps)) (cos (/ 1 x))) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 eps)) (cos (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 eps)) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]backup-simplify: Simplify (sin (/ 1 eps)) into (sin (/ 1 eps)) * [misc]backup-simplify: Simplify (cos (/ 1 eps)) into (cos (/ 1 eps)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (* (sin (/ 1 eps)) 1) into (sin (/ 1 eps)) * [misc]backup-simplify: Simplify (* (cos (/ 1 eps)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 eps)) 0) into (sin (/ 1 eps)) * [misc]backup-simplify: Simplify (* (sin (/ 1 eps)) (cos (/ 1 x))) into (* (sin (/ 1 eps)) (cos (/ 1 x))) * [misc]backup-simplify: Simplify (* (sin (/ 1 eps)) (cos (/ 1 x))) into (* (sin (/ 1 eps)) (cos (/ 1 x))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 eps)) 0) (* 0 (cos (/ 1 x)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]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 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 eps) (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 eps)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 eps)) 0) (* 0 (cos (/ 1 x)))) 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 x)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 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 (+ (* (sin (/ 1 eps)) 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]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 eps)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 eps) (/ 0 eps)) (* 0 (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 eps)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 eps)) 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))) 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 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) 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 x)) 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 (+ (* (sin (/ 1 eps)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (sin (/ 1 (/ 1 eps))) (cos (/ 1 (/ 1 x)))) into (* (cos x) (sin eps)) * [misc]approximate: Taking taylor expansion of (* (sin (/ 1 (- eps))) (cos (/ 1 (- x)))) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- eps))) (cos (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- eps))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (/ 1 (- eps)) into (/ -1 eps) * [misc]backup-simplify: Simplify (sin (/ -1 eps)) into (sin (/ -1 eps)) * [misc]backup-simplify: Simplify (cos (/ -1 eps)) into (cos (/ -1 eps)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- eps))) (cos (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- eps))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (sin (/ 1 (- eps))) into (sin (/ -1 eps)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- eps))) (cos (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- eps))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (sin (/ 1 (- eps))) into (sin (/ -1 eps)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (* (cos (/ -1 x)) 1) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 x)) 0) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (* (sin (/ -1 eps)) (cos (/ -1 x))) into (* (cos (/ -1 x)) (sin (/ -1 eps))) * [misc]taylor: Taking taylor expansion of (* (cos (/ -1 x)) (sin (/ -1 eps))) in x * [misc]taylor: Taking taylor expansion of (cos (/ -1 x)) in x * [misc]taylor: Taking taylor expansion of (/ -1 x) in x * [misc]taylor: Taking taylor expansion of -1 in x * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of x in x * [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 (cos (/ -1 x)) into (cos (/ -1 x)) * [misc]taylor: Taking taylor expansion of (sin (/ -1 eps)) in x * [misc]taylor: Taking taylor expansion of (/ -1 eps) in x * [misc]taylor: Taking taylor expansion of -1 in x * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ -1 eps) into (/ -1 eps) * [misc]backup-simplify: Simplify (sin (/ -1 eps)) into (sin (/ -1 eps)) * [misc]backup-simplify: Simplify (cos (/ -1 eps)) into (cos (/ -1 eps)) * [misc]backup-simplify: Simplify (* (sin (/ -1 eps)) 1) into (sin (/ -1 eps)) * [misc]backup-simplify: Simplify (* (cos (/ -1 eps)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 eps)) 0) into (sin (/ -1 eps)) * [misc]backup-simplify: Simplify (* (cos (/ -1 x)) (sin (/ -1 eps))) into (* (cos (/ -1 x)) (sin (/ -1 eps))) * [misc]backup-simplify: Simplify (* (cos (/ -1 x)) (sin (/ -1 eps))) into (* (cos (/ -1 x)) (sin (/ -1 eps))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 eps)) 0) (* 0 (cos (/ -1 x)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]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 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ -1 eps) (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 eps)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 (sin (/ -1 eps)))) 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 x)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 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 (+ (* (sin (/ -1 eps)) 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]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 eps)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ -1 eps) (/ 0 eps)) (* 0 (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 eps)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 eps))))) 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 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))))) 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 x)) 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 (+ (* (sin (/ -1 eps)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (cos (/ -1 (/ 1 (- x)))) (sin (/ -1 (/ 1 (- eps))))) into (* (cos x) (sin eps)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (* (sin x) (- (cos eps) 1)) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (* (sin x) (- (cos eps) 1)) in eps * [misc]taylor: Taking taylor expansion of (sin x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]taylor: Taking taylor expansion of (- (cos eps) 1) in eps * [misc]taylor: Taking taylor expansion of (cos eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sin x) (- (cos eps) 1)) in x * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (cos eps) 1) in x * [misc]taylor: Taking taylor expansion of (cos eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (cos eps) into (cos eps) * [misc]backup-simplify: Simplify (sin eps) into (sin eps) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sin x) (- (cos eps) 1)) in x * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (cos eps) 1) in x * [misc]taylor: Taking taylor expansion of (cos eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (cos eps) into (cos eps) * [misc]backup-simplify: Simplify (sin eps) into (sin eps) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (cos eps) 1) into (cos eps) * [misc]backup-simplify: Simplify (* (sin eps) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos eps) 0) into (cos eps) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (cos eps) -1) into (- (cos eps) 1) * [misc]backup-simplify: Simplify (* 0 (- (cos eps) 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [misc]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 eps) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin eps) 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (- (cos eps) 1))) into (- (cos eps) 1) * [misc]taylor: Taking taylor expansion of (- (cos eps) 1) in eps * [misc]taylor: Taking taylor expansion of (cos eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) 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 eps) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin eps) 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (- (cos eps) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (sin (/ 1 x)) (- (cos (/ 1 eps)) 1)) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 x)) (- (cos (/ 1 eps)) 1)) in eps * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]taylor: Taking taylor expansion of (- (cos (/ 1 eps)) 1) in eps * [misc]taylor: Taking taylor expansion of (cos (/ 1 eps)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 (cos (/ 1 eps)) into (cos (/ 1 eps)) * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 x)) (- (cos (/ 1 eps)) 1)) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (- (cos (/ 1 eps)) 1) in x * [misc]taylor: Taking taylor expansion of (cos (/ 1 eps)) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]backup-simplify: Simplify (cos (/ 1 eps)) into (cos (/ 1 eps)) * [misc]backup-simplify: Simplify (sin (/ 1 eps)) into (sin (/ 1 eps)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 x)) (- (cos (/ 1 eps)) 1)) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (- (cos (/ 1 eps)) 1) in x * [misc]taylor: Taking taylor expansion of (cos (/ 1 eps)) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]backup-simplify: Simplify (cos (/ 1 eps)) into (cos (/ 1 eps)) * [misc]backup-simplify: Simplify (sin (/ 1 eps)) into (sin (/ 1 eps)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (cos (/ 1 eps)) 1) into (cos (/ 1 eps)) * [misc]backup-simplify: Simplify (* (sin (/ 1 eps)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 eps)) 0) into (cos (/ 1 eps)) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (cos (/ 1 eps)) -1) into (- (cos (/ 1 eps)) 1) * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) (- (cos (/ 1 eps)) 1)) into (* (- (cos (/ 1 eps)) 1) (sin (/ 1 x))) * [misc]taylor: Taking taylor expansion of (* (- (cos (/ 1 eps)) 1) (sin (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (- (cos (/ 1 eps)) 1) in eps * [misc]taylor: Taking taylor expansion of (cos (/ 1 eps)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 (cos (/ 1 eps)) into (cos (/ 1 eps)) * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (cos (/ 1 eps)) -1) into (- (cos (/ 1 eps)) 1) * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) 1) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (* (cos (/ 1 x)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 x)) 0) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (* (- (cos (/ 1 eps)) 1) (sin (/ 1 x))) into (* (- (cos (/ 1 eps)) 1) (sin (/ 1 x))) * [misc]backup-simplify: Simplify (* (- (cos (/ 1 eps)) 1) (sin (/ 1 x))) into (* (- (cos (/ 1 eps)) 1) (sin (/ 1 x))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 eps) (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 eps)) 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (- (cos (/ 1 eps)) 1))) into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [misc]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 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (cos (/ 1 eps)) 1) 0) (* 0 (sin (/ 1 x)))) 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 eps)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 eps) (/ 0 eps)) (* 0 (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 eps)) 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (- (cos (/ 1 eps)) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [misc]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 x)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (cos (/ 1 eps)) 1) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) 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 eps)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 eps) (/ 0 eps)) (* 0 (/ 0 eps)) (* 0 (/ 0 eps)))) 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 eps)) 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (cos (/ 1 eps)) 1))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (- (cos (/ 1 (/ 1 eps))) 1) (sin (/ 1 (/ 1 x)))) into (* (- (cos eps) 1) (sin x)) * [misc]approximate: Taking taylor expansion of (* (sin (/ 1 (- x))) (- (cos (/ 1 (- eps))) 1)) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- x))) (- (cos (/ 1 (- eps))) 1)) in eps * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) * [misc]taylor: Taking taylor expansion of (- (cos (/ 1 (- eps))) 1) in eps * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- eps))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (cos (/ 1 (- eps))) into (cos (/ -1 eps)) * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- x))) (- (cos (/ 1 (- eps))) 1)) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (- (cos (/ 1 (- eps))) 1) in x * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- eps))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (/ 1 (- eps)) into (/ -1 eps) * [misc]backup-simplify: Simplify (cos (/ -1 eps)) into (cos (/ -1 eps)) * [misc]backup-simplify: Simplify (sin (/ -1 eps)) into (sin (/ -1 eps)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- x))) (- (cos (/ 1 (- eps))) 1)) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (- (cos (/ 1 (- eps))) 1) in x * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- eps))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (/ 1 (- eps)) into (/ -1 eps) * [misc]backup-simplify: Simplify (cos (/ -1 eps)) into (cos (/ -1 eps)) * [misc]backup-simplify: Simplify (sin (/ -1 eps)) into (sin (/ -1 eps)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (cos (/ -1 eps)) 1) into (cos (/ -1 eps)) * [misc]backup-simplify: Simplify (* (sin (/ -1 eps)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 eps)) 0) into (cos (/ -1 eps)) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (cos (/ -1 eps)) -1) into (- (cos (/ -1 eps)) 1) * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) (- (cos (/ -1 eps)) 1)) into (* (- (cos (/ -1 eps)) 1) (sin (/ -1 x))) * [misc]taylor: Taking taylor expansion of (* (- (cos (/ -1 eps)) 1) (sin (/ -1 x))) in eps * [misc]taylor: Taking taylor expansion of (- (cos (/ -1 eps)) 1) in eps * [misc]taylor: Taking taylor expansion of (cos (/ -1 eps)) in eps * [misc]taylor: Taking taylor expansion of (/ -1 eps) in eps * [misc]taylor: Taking taylor expansion of -1 in eps * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of eps in eps * [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 (cos (/ -1 eps)) into (cos (/ -1 eps)) * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin (/ -1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ -1 x) in eps * [misc]taylor: Taking taylor expansion of -1 in eps * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ -1 x) into (/ -1 x) * [misc]backup-simplify: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (cos (/ -1 eps)) -1) into (- (cos (/ -1 eps)) 1) * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) 1) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (* (cos (/ -1 x)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 x)) 0) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (* (- (cos (/ -1 eps)) 1) (sin (/ -1 x))) into (* (- (cos (/ -1 eps)) 1) (sin (/ -1 x))) * [misc]backup-simplify: Simplify (* (- (cos (/ -1 eps)) 1) (sin (/ -1 x))) into (* (- (cos (/ -1 eps)) 1) (sin (/ -1 x))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 eps) (/ 0 (- eps))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 eps)) 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (- (cos (/ -1 eps)) 1))) into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [misc]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 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (cos (/ -1 eps)) 1) 0) (* 0 (sin (/ -1 x)))) 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 eps)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 eps) (/ 0 (- eps))) (* 0 (/ 0 (- eps))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 eps)) 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (- (cos (/ -1 eps)) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [misc]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 x)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (cos (/ -1 eps)) 1) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) 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 eps)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 eps) (/ 0 (- eps))) (* 0 (/ 0 (- eps))) (* 0 (/ 0 (- eps))))) 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 eps)) 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (cos (/ -1 eps)) 1))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (- (cos (/ -1 (/ 1 (- eps)))) 1) (sin (/ -1 (/ 1 (- x))))) into (* (- (cos eps) 1) (sin x)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (+ (* (sin eps) (cos x)) (* (sin x) (- (cos eps) 1))) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (sin eps) (cos x)) (* (sin x) (- (cos eps) 1))) in x * [misc]taylor: Taking taylor expansion of (* (sin eps) (cos x)) in x * [misc]taylor: Taking taylor expansion of (sin eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (sin eps) into (sin eps) * [misc]backup-simplify: Simplify (cos eps) into (cos eps) * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sin x) (- (cos eps) 1)) in x * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (cos eps) 1) in x * [misc]taylor: Taking taylor expansion of (cos eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (cos eps) into (cos eps) * [misc]backup-simplify: Simplify (sin eps) into (sin eps) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* (sin eps) (cos x)) (* (sin x) (- (cos eps) 1))) in eps * [misc]taylor: Taking taylor expansion of (* (sin eps) (cos x)) in eps * [misc]taylor: Taking taylor expansion of (sin eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]taylor: Taking taylor expansion of (* (sin x) (- (cos eps) 1)) in eps * [misc]taylor: Taking taylor expansion of (sin x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]taylor: Taking taylor expansion of (- (cos eps) 1) in eps * [misc]taylor: Taking taylor expansion of (cos eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* (sin eps) (cos x)) (* (sin x) (- (cos eps) 1))) in eps * [misc]taylor: Taking taylor expansion of (* (sin eps) (cos x)) in eps * [misc]taylor: Taking taylor expansion of (sin eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]taylor: Taking taylor expansion of (* (sin x) (- (cos eps) 1)) in eps * [misc]taylor: Taking taylor expansion of (sin x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]taylor: Taking taylor expansion of (- (cos eps) 1) in eps * [misc]taylor: Taking taylor expansion of (cos eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (cos x) 1) into (cos x) * [misc]backup-simplify: Simplify (* (sin x) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos x) 0) into (cos x) * [misc]backup-simplify: Simplify (* 0 (cos x)) into 0 * [misc]backup-simplify: Simplify (* (sin x) 1) into (sin x) * [misc]backup-simplify: Simplify (* (cos x) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin x) 0) into (sin x) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (sin x) 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]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 x) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin x) 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 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (cos x))) into (cos x) * [misc]backup-simplify: Simplify (+ 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 (+ (* (sin x) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos x) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin x) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (cos x) 0) into (cos x) * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos x) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin x) 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 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos x)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- 1/2) 0) into -1/2 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin x) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos x) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin x) -1/2) (+ (* 0 0) (* 0 0))) into (- (* 1/2 (sin x))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (sin x)))) into (- (* 1/2 (sin x))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (sin x))) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (sin x)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin x) 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 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* (- 1/6) (cos x))))) into (- (* 1/6 (cos x))) * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (- 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 (+ (* (sin x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin x) 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/6 (cos x))) 0) into (- (* 1/6 (cos x))) * [misc]taylor: Taking taylor expansion of (- (* 1/6 (cos x))) in x * [misc]taylor: Taking taylor expansion of (* 1/6 (cos x)) in x * [misc]taylor: Taking taylor expansion of 1/6 in x * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/6 1) into 1/6 * [misc]backup-simplify: Simplify (- 1/6) into -1/6 * [misc]backup-simplify: Simplify -1/6 into -1/6 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (* x (pow eps 2))) (+ (* -1/6 (pow (* 1 eps) 3)) (* 1 (* 1 eps)))) into (- eps (+ (* 1/6 (pow eps 3)) (* 1/2 (* x (pow eps 2))))) * [misc]approximate: Taking taylor expansion of (+ (* (sin (/ 1 eps)) (cos (/ 1 x))) (* (sin (/ 1 x)) (- (cos (/ 1 eps)) 1))) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 eps)) (cos (/ 1 x))) (* (sin (/ 1 x)) (- (cos (/ 1 eps)) 1))) in x * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 eps)) (cos (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 eps)) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]backup-simplify: Simplify (sin (/ 1 eps)) into (sin (/ 1 eps)) * [misc]backup-simplify: Simplify (cos (/ 1 eps)) into (cos (/ 1 eps)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 x)) (- (cos (/ 1 eps)) 1)) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (- (cos (/ 1 eps)) 1) in x * [misc]taylor: Taking taylor expansion of (cos (/ 1 eps)) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]backup-simplify: Simplify (cos (/ 1 eps)) into (cos (/ 1 eps)) * [misc]backup-simplify: Simplify (sin (/ 1 eps)) into (sin (/ 1 eps)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 eps)) (cos (/ 1 x))) (* (sin (/ 1 x)) (- (cos (/ 1 eps)) 1))) in eps * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 eps)) (cos (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ 1 eps)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 (sin (/ 1 eps)) into (sin (/ 1 eps)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 x)) (- (cos (/ 1 eps)) 1)) in eps * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]taylor: Taking taylor expansion of (- (cos (/ 1 eps)) 1) in eps * [misc]taylor: Taking taylor expansion of (cos (/ 1 eps)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 (cos (/ 1 eps)) into (cos (/ 1 eps)) * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 eps)) (cos (/ 1 x))) (* (sin (/ 1 x)) (- (cos (/ 1 eps)) 1))) in eps * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 eps)) (cos (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ 1 eps)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 (sin (/ 1 eps)) into (sin (/ 1 eps)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 x)) (- (cos (/ 1 eps)) 1)) in eps * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]taylor: Taking taylor expansion of (- (cos (/ 1 eps)) 1) in eps * [misc]taylor: Taking taylor expansion of (cos (/ 1 eps)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 (cos (/ 1 eps)) into (cos (/ 1 eps)) * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (cos (/ 1 x)) 1) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 x)) 0) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (* (sin (/ 1 eps)) (cos (/ 1 x))) into (* (sin (/ 1 eps)) (cos (/ 1 x))) * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) 1) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (* (cos (/ 1 x)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 x)) 0) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (cos (/ 1 eps)) -1) into (- (cos (/ 1 eps)) 1) * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) (- (cos (/ 1 eps)) 1)) into (* (- (cos (/ 1 eps)) 1) (sin (/ 1 x))) * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 eps)) (cos (/ 1 x))) (* (- (cos (/ 1 eps)) 1) (sin (/ 1 x)))) into (- (+ (* (cos (/ 1 eps)) (sin (/ 1 x))) (* (sin (/ 1 eps)) (cos (/ 1 x)))) (sin (/ 1 x))) * [misc]taylor: Taking taylor expansion of (- (+ (* (cos (/ 1 eps)) (sin (/ 1 x))) (* (sin (/ 1 eps)) (cos (/ 1 x)))) (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (+ (* (cos (/ 1 eps)) (sin (/ 1 x))) (* (sin (/ 1 eps)) (cos (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 eps)) (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (cos (/ 1 eps)) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]backup-simplify: Simplify (cos (/ 1 eps)) into (cos (/ 1 eps)) * [misc]backup-simplify: Simplify (sin (/ 1 eps)) into (sin (/ 1 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 eps)) (cos (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 eps)) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]backup-simplify: Simplify (sin (/ 1 eps)) into (sin (/ 1 eps)) * [misc]backup-simplify: Simplify (cos (/ 1 eps)) into (cos (/ 1 eps)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (* (cos (/ 1 eps)) 1) into (cos (/ 1 eps)) * [misc]backup-simplify: Simplify (* (sin (/ 1 eps)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 eps)) 0) into (cos (/ 1 eps)) * [misc]backup-simplify: Simplify (* (cos (/ 1 eps)) (sin (/ 1 x))) into (* (cos (/ 1 eps)) (sin (/ 1 x))) * [misc]backup-simplify: Simplify (* (sin (/ 1 eps)) 1) into (sin (/ 1 eps)) * [misc]backup-simplify: Simplify (* (cos (/ 1 eps)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 eps)) 0) into (sin (/ 1 eps)) * [misc]backup-simplify: Simplify (* (sin (/ 1 eps)) (cos (/ 1 x))) into (* (sin (/ 1 eps)) (cos (/ 1 x))) * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 eps)) (sin (/ 1 x))) (* (sin (/ 1 eps)) (cos (/ 1 x)))) into (+ (* (cos (/ 1 eps)) (sin (/ 1 x))) (* (sin (/ 1 eps)) (cos (/ 1 x)))) * [misc]backup-simplify: Simplify (- (sin (/ 1 x))) into (- (sin (/ 1 x))) * [misc]backup-simplify: Simplify (+ (+ (* (cos (/ 1 eps)) (sin (/ 1 x))) (* (sin (/ 1 eps)) (cos (/ 1 x)))) (- (sin (/ 1 x)))) into (- (+ (* (cos (/ 1 eps)) (sin (/ 1 x))) (* (sin (/ 1 eps)) (cos (/ 1 x)))) (sin (/ 1 x))) * [misc]backup-simplify: Simplify (- (+ (* (cos (/ 1 eps)) (sin (/ 1 x))) (* (sin (/ 1 eps)) (cos (/ 1 x)))) (sin (/ 1 x))) into (- (+ (* (cos (/ 1 eps)) (sin (/ 1 x))) (* (sin (/ 1 eps)) (cos (/ 1 x)))) (sin (/ 1 x))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 eps)) 0) (* 0 (cos (/ 1 x)))) 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 (+ (* (sin (/ 1 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (- (cos (/ 1 eps)) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]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 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 eps) (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 eps)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 eps)) 0) (* 0 (sin (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 eps) (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 eps)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 eps)) 0) (* 0 (cos (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify (+ 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 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 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 (+ (* (sin (/ 1 eps)) 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (- 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 (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (- (cos (/ 1 eps)) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]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 eps)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 eps) (/ 0 eps)) (* 0 (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 eps)) 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 (+ (* (cos (/ 1 eps)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 eps)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 eps) (/ 0 eps)) (* 0 (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 eps)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 eps)) 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (+ 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 (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) 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 x)) 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 (+ (* (sin (/ 1 eps)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- 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 (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) 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 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (cos (/ 1 eps)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (cos (/ 1 (/ 1 eps))) (sin (/ 1 (/ 1 x)))) (* (sin (/ 1 (/ 1 eps))) (cos (/ 1 (/ 1 x))))) (sin (/ 1 (/ 1 x)))) into (- (+ (* (cos x) (sin eps)) (* (sin x) (cos eps))) (sin x)) * [misc]approximate: Taking taylor expansion of (+ (* (sin (/ 1 (- eps))) (cos (/ 1 (- x)))) (* (sin (/ 1 (- x))) (- (cos (/ 1 (- eps))) 1))) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 (- eps))) (cos (/ 1 (- x)))) (* (sin (/ 1 (- x))) (- (cos (/ 1 (- eps))) 1))) in x * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- eps))) (cos (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- eps))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (/ 1 (- eps)) into (/ -1 eps) * [misc]backup-simplify: Simplify (sin (/ -1 eps)) into (sin (/ -1 eps)) * [misc]backup-simplify: Simplify (cos (/ -1 eps)) into (cos (/ -1 eps)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- x))) (- (cos (/ 1 (- eps))) 1)) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (- (cos (/ 1 (- eps))) 1) in x * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- eps))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (/ 1 (- eps)) into (/ -1 eps) * [misc]backup-simplify: Simplify (cos (/ -1 eps)) into (cos (/ -1 eps)) * [misc]backup-simplify: Simplify (sin (/ -1 eps)) into (sin (/ -1 eps)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 (- eps))) (cos (/ 1 (- x)))) (* (sin (/ 1 (- x))) (- (cos (/ 1 (- eps))) 1))) in eps * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- eps))) (cos (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- eps))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (sin (/ 1 (- eps))) into (sin (/ -1 eps)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- x))) (- (cos (/ 1 (- eps))) 1)) in eps * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) * [misc]taylor: Taking taylor expansion of (- (cos (/ 1 (- eps))) 1) in eps * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- eps))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (cos (/ 1 (- eps))) into (cos (/ -1 eps)) * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 (- eps))) (cos (/ 1 (- x)))) (* (sin (/ 1 (- x))) (- (cos (/ 1 (- eps))) 1))) in eps * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- eps))) (cos (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- eps))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (sin (/ 1 (- eps))) into (sin (/ -1 eps)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- x))) (- (cos (/ 1 (- eps))) 1)) in eps * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) * [misc]taylor: Taking taylor expansion of (- (cos (/ 1 (- eps))) 1) in eps * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- eps))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (cos (/ 1 (- eps))) into (cos (/ -1 eps)) * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (cos (/ -1 x)) 1) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 x)) 0) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (* (sin (/ -1 eps)) (cos (/ -1 x))) into (* (cos (/ -1 x)) (sin (/ -1 eps))) * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) 1) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (* (cos (/ -1 x)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 x)) 0) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (cos (/ -1 eps)) -1) into (- (cos (/ -1 eps)) 1) * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) (- (cos (/ -1 eps)) 1)) into (* (- (cos (/ -1 eps)) 1) (sin (/ -1 x))) * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) (sin (/ -1 eps))) (* (- (cos (/ -1 eps)) 1) (sin (/ -1 x)))) into (- (+ (* (sin (/ -1 x)) (cos (/ -1 eps))) (* (cos (/ -1 x)) (sin (/ -1 eps)))) (sin (/ -1 x))) * [misc]taylor: Taking taylor expansion of (- (+ (* (sin (/ -1 x)) (cos (/ -1 eps))) (* (cos (/ -1 x)) (sin (/ -1 eps)))) (sin (/ -1 x))) in x * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ -1 x)) (cos (/ -1 eps))) (* (cos (/ -1 x)) (sin (/ -1 eps)))) in x * [misc]taylor: Taking taylor expansion of (* (sin (/ -1 x)) (cos (/ -1 eps))) in x * [misc]taylor: Taking taylor expansion of (sin (/ -1 x)) in x * [misc]taylor: Taking taylor expansion of (/ -1 x) in x * [misc]taylor: Taking taylor expansion of -1 in x * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of x in x * [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 (sin (/ -1 x)) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ -1 eps)) in x * [misc]taylor: Taking taylor expansion of (/ -1 eps) in x * [misc]taylor: Taking taylor expansion of -1 in x * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ -1 eps) into (/ -1 eps) * [misc]backup-simplify: Simplify (cos (/ -1 eps)) into (cos (/ -1 eps)) * [misc]backup-simplify: Simplify (sin (/ -1 eps)) into (sin (/ -1 eps)) * [misc]taylor: Taking taylor expansion of (* (cos (/ -1 x)) (sin (/ -1 eps))) in x * [misc]taylor: Taking taylor expansion of (cos (/ -1 x)) in x * [misc]taylor: Taking taylor expansion of (/ -1 x) in x * [misc]taylor: Taking taylor expansion of -1 in x * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of x in x * [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 (cos (/ -1 x)) into (cos (/ -1 x)) * [misc]taylor: Taking taylor expansion of (sin (/ -1 eps)) in x * [misc]taylor: Taking taylor expansion of (/ -1 eps) in x * [misc]taylor: Taking taylor expansion of -1 in x * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ -1 eps) into (/ -1 eps) * [misc]backup-simplify: Simplify (sin (/ -1 eps)) into (sin (/ -1 eps)) * [misc]backup-simplify: Simplify (cos (/ -1 eps)) into (cos (/ -1 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ -1 x)) in x * [misc]taylor: Taking taylor expansion of (/ -1 x) in x * [misc]taylor: Taking taylor expansion of -1 in x * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of x in x * [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 (sin (/ -1 x)) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (* (cos (/ -1 eps)) 1) into (cos (/ -1 eps)) * [misc]backup-simplify: Simplify (* (sin (/ -1 eps)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 eps)) 0) into (cos (/ -1 eps)) * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) (cos (/ -1 eps))) into (* (sin (/ -1 x)) (cos (/ -1 eps))) * [misc]backup-simplify: Simplify (* (sin (/ -1 eps)) 1) into (sin (/ -1 eps)) * [misc]backup-simplify: Simplify (* (cos (/ -1 eps)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 eps)) 0) into (sin (/ -1 eps)) * [misc]backup-simplify: Simplify (* (cos (/ -1 x)) (sin (/ -1 eps))) into (* (cos (/ -1 x)) (sin (/ -1 eps))) * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) (cos (/ -1 eps))) (* (cos (/ -1 x)) (sin (/ -1 eps)))) into (+ (* (sin (/ -1 x)) (cos (/ -1 eps))) (* (cos (/ -1 x)) (sin (/ -1 eps)))) * [misc]backup-simplify: Simplify (- (sin (/ -1 x))) into (- (sin (/ -1 x))) * [misc]backup-simplify: Simplify (+ (+ (* (sin (/ -1 x)) (cos (/ -1 eps))) (* (cos (/ -1 x)) (sin (/ -1 eps)))) (- (sin (/ -1 x)))) into (- (+ (* (sin (/ -1 x)) (cos (/ -1 eps))) (* (cos (/ -1 x)) (sin (/ -1 eps)))) (sin (/ -1 x))) * [misc]backup-simplify: Simplify (- (+ (* (sin (/ -1 x)) (cos (/ -1 eps))) (* (cos (/ -1 x)) (sin (/ -1 eps)))) (sin (/ -1 x))) into (- (+ (* (sin (/ -1 x)) (cos (/ -1 eps))) (* (cos (/ -1 x)) (sin (/ -1 eps)))) (sin (/ -1 x))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 eps)) 0) (* 0 (cos (/ -1 x)))) 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 (+ (* (sin (/ -1 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (- (cos (/ -1 eps)) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]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 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ -1 eps) (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 eps)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (cos (/ -1 eps)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ -1 eps) (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 eps)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 (sin (/ -1 eps)))) into 0 * [misc]backup-simplify: Simplify (+ 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 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 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 (+ (* (sin (/ -1 eps)) 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (- 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 (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (- (cos (/ -1 eps)) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]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 eps)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ -1 eps) (/ 0 eps)) (* 0 (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 eps)) 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 (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (cos (/ -1 eps))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 eps)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ -1 eps) (/ 0 eps)) (* 0 (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 eps)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 eps))))) into 0 * [misc]backup-simplify: Simplify (+ 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 (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))))) 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 x)) 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 (+ (* (sin (/ -1 eps)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- 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 (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))))) 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 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (cos (/ -1 eps)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (sin (/ -1 (/ 1 (- x)))) (cos (/ -1 (/ 1 (- eps))))) (* (cos (/ -1 (/ 1 (- x)))) (sin (/ -1 (/ 1 (- eps)))))) (sin (/ -1 (/ 1 (- x))))) into (- (+ (* (cos x) (sin eps)) (* (sin x) (cos eps))) (sin x)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (cos eps)) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (+ 1 (sqrt (cos eps))) * [misc]simplify: Simplified (2 2 2 1) to (λ (x eps) (+ (* (sin eps) (cos x)) (* (sin x) (* (+ 1 (sqrt (cos eps))) (- (sqrt (cos eps)) 1))))) * * * * [misc]progress: [ 12 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sin (- eps x)) (sin (+ eps x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (+ (sin (- eps x)) (sin (+ x eps))) * [misc]simplify: Simplified (2 1 1) to (λ (x eps) (+ (/ (+ (sin (- eps x)) (sin (+ x eps))) 2) (* (sin x) (- (cos eps) 1)))) * * * * [misc]progress: [ 14 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin eps) (cos x)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (* (cos x) (sin eps)) * [misc]simplify: Simplified (2 1 1) to (λ (x eps) (+ (pow (* (cos x) (sin eps)) 1) (* (sin x) (- (cos eps) 1)))) * * * * [misc]progress: [ 15 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sin eps)) (log (cos x))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (+ (log (cos x)) (log (sin eps))) * [misc]simplify: Simplified (2 1 1) to (λ (x eps) (+ (exp (+ (log (cos x)) (log (sin eps)))) (* (sin x) (- (cos eps) 1)))) * * * * [misc]progress: [ 17 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sin eps) (sin eps)) (sin eps)) (* (* (cos x) (cos x)) (cos x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to (pow (* (cos x) (sin eps)) 3) * [misc]simplify: Simplified (2 1 1) to (λ (x eps) (+ (cbrt (pow (* (cos x) (sin eps)) 3)) (* (sin x) (- (cos eps) 1)))) * * * * [misc]progress: [ 20 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cos x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (cos x)) * [misc]simplify: Simplified (2 1 2) to (λ (x eps) (+ (* (* (sin eps) (* (cbrt (cos x)) (cbrt (cos x)))) (cbrt (cos x))) (* (sin x) (- (cos eps) 1)))) * * * * [misc]progress: [ 25 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cos x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (cos x)) * [misc]simplify: Simplified (2 1 2) to (λ (x eps) (+ (* (* (sin eps) (sqrt (cos x))) (sqrt (cos x))) (* (sin x) (- (cos eps) 1)))) * * * * [misc]progress: [ 26 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (cos x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cos x) * [misc]simplify: Simplified (2 1 2) to (λ (x eps) (+ (* (* (sin eps) 1) (cos x)) (* (sin x) (- (cos eps) 1)))) * * * * [misc]progress: [ 27 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sin eps)) (cbrt (sin eps))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (* (cbrt (sin eps)) (cbrt (sin eps))) * [misc]simplify: Simplified (2 1 1) to (λ (x eps) (+ (* (* (cbrt (sin eps)) (cbrt (sin eps))) (* (cbrt (sin eps)) (cos x))) (* (sin x) (- (cos eps) 1)))) * * * * [misc]progress: [ 28 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sin eps)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (sin eps)) * [misc]simplify: Simplified (2 1 1) to (λ (x eps) (+ (* (sqrt (sin eps)) (* (sqrt (sin eps)) (cos x))) (* (sin x) (- (cos eps) 1)))) * * * * [misc]progress: [ 29 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin x) (- (cos eps) 1)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (- (* (cos eps) (sin x)) (sin x)) * [misc]simplify: Simplified (2 2 1) to (λ (x eps) (+ (* (sin eps) (cos x)) (pow (- (* (cos eps) (sin x)) (sin x)) 1))) * * * * [misc]progress: [ 32 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sin x)) (log (- (cos eps) 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (+ (log (- (cos eps) 1)) (log (sin x))) * [misc]simplify: Simplified (2 2 1) to (λ (x eps) (+ (* (sin eps) (cos x)) (exp (+ (log (- (cos eps) 1)) (log (sin x)))))) * * * * [misc]progress: [ 34 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sin x) (sin x)) (sin x)) (* (* (- (cos eps) 1) (- (cos eps) 1)) (- (cos eps) 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (318 enodes) * [exit]simplify: Simplified to (* (* (pow (sin x) 3) (- (cos eps) 1)) (* (- (cos eps) 1) (- (cos eps) 1))) * [misc]simplify: Simplified (2 2 1) to (λ (x eps) (+ (* (sin eps) (cos x)) (cbrt (* (* (pow (sin x) 3) (- (cos eps) 1)) (* (- (cos eps) 1) (- (cos eps) 1)))))) * * * * [misc]progress: [ 37 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin x) (- 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (- (sin x)) * [misc]simplify: Simplified (2 2 2) to (λ (x eps) (+ (* (sin eps) (cos x)) (+ (* (sin x) (cos eps)) (- (sin x))))) * * * * [misc]progress: [ 42 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin x) (- 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (- (sin x)) * [misc]simplify: Simplified (2 2 2) to (λ (x eps) (+ (* (sin eps) (cos x)) (+ (* (sin x) (cos eps)) (- (sin x))))) * * * * [misc]progress: [ 43 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- 1) (sin x)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (- (sin x)) * [misc]simplify: Simplified (2 2 2) to (λ (x eps) (+ (* (sin eps) (cos x)) (+ (* (cos eps) (sin x)) (- (sin x))))) * * * * [misc]progress: [ 44 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- 1) (sin x)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (- (sin x)) * [misc]simplify: Simplified (2 2 2) to (λ (x eps) (+ (* (sin eps) (cos x)) (+ (* (cos eps) (sin x)) (- (sin x))))) * * * * [misc]progress: [ 45 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (cos eps) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (cbrt (- (cos eps) 1)) * [misc]simplify: Simplified (2 2 2) to (λ (x eps) (+ (* (sin eps) (cos x)) (* (* (sin x) (* (cbrt (- (cos eps) 1)) (cbrt (- (cos eps) 1)))) (cbrt (- (cos eps) 1))))) * * * * [misc]progress: [ 46 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (cos eps) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (sqrt (- (cos eps) 1)) * [misc]simplify: Simplified (2 2 2) to (λ (x eps) (+ (* (sin eps) (cos x)) (* (* (sin x) (sqrt (- (cos eps) 1))) (sqrt (- (cos eps) 1))))) * * * * [misc]progress: [ 47 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (- (cos eps) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (10 enodes) * [exit]simplify: Simplified to (- (cos eps) 1) * [misc]simplify: Simplified (2 2 2) to (λ (x eps) (+ (* (sin eps) (cos x)) (* (* (sin x) 1) (- (cos eps) 1)))) * * * * [misc]progress: [ 48 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqrt (cos eps)) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (+ -1 (sqrt (cos eps))) * [misc]simplify: Simplified (2 2 2) to (λ (x eps) (+ (* (sin eps) (cos x)) (* (* (sin x) (+ (sqrt (cos eps)) 1)) (+ -1 (sqrt (cos eps)))))) * * * * [misc]progress: [ 49 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sin x)) (cbrt (sin x))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (* (cbrt (sin x)) (cbrt (sin x))) * [misc]simplify: Simplified (2 2 1) to (λ (x eps) (+ (* (sin eps) (cos x)) (* (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sin x)) (- (cos eps) 1))))) * * * * [misc]progress: [ 50 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sin x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (sin x)) * [misc]simplify: Simplified (2 2 1) to (λ (x eps) (+ (* (sin eps) (cos x)) (* (sqrt (sin x)) (* (sqrt (sin x)) (- (cos eps) 1))))) * * * * [misc]progress: [ 51 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (cos eps) (cos eps)) (+ (* 1 1) (* (cos eps) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (+ (* (cos eps) (cos eps)) (+ 1 (cos eps))) * [misc]simplify: Simplified (2 2 2) to (λ (x eps) (+ (* (sin eps) (cos x)) (/ (* (sin x) (- (pow (cos eps) 3) (pow 1 3))) (+ (* (cos eps) (cos eps)) (+ 1 (cos eps)))))) * * * * [misc]progress: [ 53 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (cos eps) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (+ (cos eps) 1) * [misc]simplify: Simplified (2 2 2) to (λ (x eps) (+ (* (sin eps) (cos x)) (/ (* (sin x) (- (* (cos eps) (cos eps)) (* 1 1))) (+ (cos eps) 1)))) * * * * [misc]progress: [ 54 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (* (sin eps) (cos x))) (exp (* (sin x) (- (cos eps) 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (134 enodes) * [exit]simplify: Simplified to (* (exp (* (cos x) (sin eps))) (pow (exp (sin x)) (+ (cos eps) -1))) * [misc]simplify: Simplified (2 1) to (λ (x eps) (log (* (exp (* (cos x) (sin eps))) (pow (exp (sin x)) (+ (cos eps) -1))))) * * * * [misc]progress: [ 56 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (+ (sin (- eps x)) (sin (+ eps x))) (+ (* (cos eps) (cos eps)) (+ (* 1 1) (* (cos eps) 1)))) (* 2 (* (sin x) (- (pow (cos eps) 3) (pow 1 3))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (151 enodes) * * [misc]simplify: iters left: 3 (427 enodes) * [exit]simplify: Simplified to (+ (* (+ (+ (cos eps) 1) (* (cos eps) (cos eps))) (+ (sin (- eps x)) (sin (+ x eps)))) (- (* (* 2 (sin x)) (pow (cos eps) 3)) (* 2 (sin x)))) * [misc]simplify: Simplified (2 1) to (λ (x eps) (/ (+ (* (+ (+ (cos eps) 1) (* (cos eps) (cos eps))) (+ (sin (- eps x)) (sin (+ x eps)))) (- (* (* 2 (sin x)) (pow (cos eps) 3)) (* 2 (sin x)))) (* 2 (+ (* (cos eps) (cos eps)) (+ (* 1 1) (* (cos eps) 1)))))) * [enter]simplify: Simplifying (* 2 (+ (* (cos eps) (cos eps)) (+ (* 1 1) (* (cos eps) 1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * * [misc]simplify: iters left: 1 (337 enodes) * [exit]simplify: Simplified to (+ (* (+ (cos eps) 1) (* 2 (cos eps))) 2) * [misc]simplify: Simplified (2 2) to (λ (x eps) (/ (+ (* (+ (+ (cos eps) 1) (* (cos eps) (cos eps))) (+ (sin (- eps x)) (sin (+ x eps)))) (- (* (* 2 (sin x)) (pow (cos eps) 3)) (* 2 (sin x)))) (+ (* (+ (cos eps) 1) (* 2 (cos eps))) 2))) * * * * [misc]progress: [ 63 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (+ (sin (- eps x)) (sin (+ eps x))) (+ (cos eps) 1)) (* 2 (* (sin x) (- (* (cos eps) (cos eps)) (* 1 1))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (210 enodes) * [exit]simplify: Simplified to (- (* (+ (cos eps) 1) (+ (sin (+ x eps)) (sin (- eps x)))) (* (* (sin eps) (sin eps)) (* 2 (sin x)))) * [misc]simplify: Simplified (2 1) to (λ (x eps) (/ (- (* (+ (cos eps) 1) (+ (sin (+ x eps)) (sin (- eps x)))) (* (* (sin eps) (sin eps)) (* 2 (sin x)))) (* 2 (+ (cos eps) 1)))) * [enter]simplify: Simplifying (* 2 (+ (cos eps) 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (+ 2 (* 2 (cos eps))) * [misc]simplify: Simplified (2 2) to (λ (x eps) (/ (- (* (+ (cos eps) 1) (+ (sin (+ x eps)) (sin (- eps x)))) (* (* (sin eps) (sin eps)) (* 2 (sin x)))) (+ 2 (* 2 (cos eps))))) * * * * [misc]progress: [ 64 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin x) (- 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (- (sin x)) * [misc]simplify: Simplified (2 2) to (λ (x eps) (+ (+ (* (sin eps) (cos x)) (* (sin x) (cos eps))) (- (sin x)))) * * * * [misc]progress: [ 68 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin x) (- 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (- (sin x)) * [misc]simplify: Simplified (2 2) to (λ (x eps) (+ (+ (* (sin eps) (cos x)) (* (sin x) (cos eps))) (- (sin x)))) * * * * [misc]progress: [ 69 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- 1) (sin x)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (- (sin x)) * [misc]simplify: Simplified (2 2) to (λ (x eps) (+ (+ (* (sin eps) (cos x)) (* (cos eps) (sin x))) (- (sin x)))) * * * * [misc]progress: [ 70 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- 1) (sin x)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (- (sin x)) * [misc]simplify: Simplified (2 2) to (λ (x eps) (+ (+ (* (sin eps) (cos x)) (* (cos eps) (sin x))) (- (sin x)))) * * * * [misc]progress: [ 71 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/24 (pow eps 4)) (+ (* 1/2 (pow eps 2)) (* 1/720 (pow eps 6)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (+ (* (pow eps 4) 1/24) (+ (* -1/720 (pow eps 6)) (* -1/2 (* eps eps)))) * [misc]simplify: Simplified (2 2 2) to (λ (x eps) (+ (* (sin eps) (cos x)) (* (sin x) (+ (* (pow eps 4) 1/24) (+ (* -1/720 (pow eps 6)) (* -1/2 (* eps eps))))))) * * * * [misc]progress: [ 73 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (- (cos eps) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (10 enodes) * [exit]simplify: Simplified to (- (cos eps) 1) * [misc]simplify: Simplified (2 2 2) to (λ (x eps) (+ (* (sin eps) (cos x)) (* (sin x) (- (cos eps) 1)))) * * * * [misc]progress: [ 74 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (- (cos eps) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (10 enodes) * [exit]simplify: Simplified to (- (cos eps) 1) * [misc]simplify: Simplified (2 2 2) to (λ (x eps) (+ (* (sin eps) (cos x)) (* (sin x) (- (cos eps) 1)))) * * * * [misc]progress: [ 75 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (- eps (+ (* 1/6 (pow eps 3)) (* 1/2 (* (pow x 2) eps)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (256 enodes) * * [misc]simplify: iters left: 1 (372 enodes) * [exit]simplify: Simplified to (- (* (* eps eps) (* eps -1/6)) (- (* (* 1/2 eps) (* x x)) eps)) * [misc]simplify: Simplified (2 1) to (λ (x eps) (+ (- (* (* eps eps) (* eps -1/6)) (- (* (* 1/2 eps) (* x x)) eps)) (* (sin x) (- (cos eps) 1)))) * * * * [misc]progress: [ 76 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos x) (sin eps)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (* (sin eps) (cos x)) * [misc]simplify: Simplified (2 1) to (λ (x eps) (+ (* (sin eps) (cos x)) (* (sin x) (- (cos eps) 1)))) * * * * [misc]progress: [ 77 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos x) (sin eps)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (* (sin eps) (cos x)) * [misc]simplify: Simplified (2 1) to (λ (x eps) (+ (* (sin eps) (cos x)) (* (sin x) (- (cos eps) 1)))) * * * * [misc]progress: [ 78 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x eps) (+ (* (sin eps) (cos x)) 0)) * * * * [misc]progress: [ 79 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (cos eps) 1) (sin x)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (- (* (sin x) (cos eps)) (sin x)) * [misc]simplify: Simplified (2 2) to (λ (x eps) (+ (* (sin eps) (cos x)) (- (* (sin x) (cos eps)) (sin x)))) * * * * [misc]progress: [ 80 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (cos eps) 1) (sin x)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (- (* (sin x) (cos eps)) (sin x)) * [misc]simplify: Simplified (2 2) to (λ (x eps) (+ (* (sin eps) (cos x)) (- (* (sin x) (cos eps)) (sin x)))) * * * * [misc]progress: [ 81 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (- eps (+ (* 1/6 (pow eps 3)) (* 1/2 (* x (pow eps 2))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (143 enodes) * * [misc]simplify: iters left: 2 (291 enodes) * * [misc]simplify: iters left: 1 (481 enodes) * [exit]simplify: Simplified to (+ (* (- (* eps -1/6) (* 1/2 x)) (* eps eps)) eps) * [misc]simplify: Simplified (2) to (λ (x eps) (+ (* (- (* eps -1/6) (* 1/2 x)) (* eps eps)) eps)) * * * * [misc]progress: [ 82 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* (cos x) (sin eps)) (* (sin x) (cos eps))) (sin x)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (- (* (sin eps) (cos x)) (- (sin x) (* (sin x) (cos eps)))) * [misc]simplify: Simplified (2) to (λ (x eps) (- (* (sin eps) (cos x)) (- (sin x) (* (sin x) (cos eps))))) * * * * [misc]progress: [ 83 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* (cos x) (sin eps)) (* (sin x) (cos eps))) (sin x)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (- (* (sin eps) (cos x)) (- (sin x) (* (sin x) (cos eps)))) * [misc]simplify: Simplified (2) to (λ (x eps) (- (* (sin eps) (cos x)) (- (sin x) (* (sin x) (cos eps))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2 1 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2 1 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 2 1 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2 1 2) * [misc]approximate: Taking taylor expansion of (- (cos eps) 1) in (eps) around 0 * [misc]taylor: Taking taylor expansion of (- (cos eps) 1) in eps * [misc]taylor: Taking taylor expansion of (cos eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (cos eps) 1) in eps * [misc]taylor: Taking taylor expansion of (cos eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 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 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- 1/2) 0) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 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 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/24 0) into 1/24 * [misc]backup-simplify: Simplify 1/24 into 1/24 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 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 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into (- 1/720) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- 1/720) 0) into -1/720 * [misc]backup-simplify: Simplify -1/720 into -1/720 * [misc]backup-simplify: Simplify (+ (* -1/720 (pow eps 6)) (+ (* 1/24 (pow eps 4)) (* -1/2 (pow eps 2)))) into (- (* 1/24 (pow eps 4)) (+ (* 1/2 (pow eps 2)) (* 1/720 (pow eps 6)))) * [misc]approximate: Taking taylor expansion of (- (cos (/ 1 eps)) 1) in (eps) around 0 * [misc]taylor: Taking taylor expansion of (- (cos (/ 1 eps)) 1) in eps * [misc]taylor: Taking taylor expansion of (cos (/ 1 eps)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 (cos (/ 1 eps)) into (cos (/ 1 eps)) * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (cos (/ 1 eps)) 1) in eps * [misc]taylor: Taking taylor expansion of (cos (/ 1 eps)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 (cos (/ 1 eps)) into (cos (/ 1 eps)) * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (cos (/ 1 eps)) -1) into (- (cos (/ 1 eps)) 1) * [misc]backup-simplify: Simplify (- (cos (/ 1 eps)) 1) into (- (cos (/ 1 eps)) 1) * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (cos (/ 1 (/ 1 eps))) 1) into (- (cos eps) 1) * [misc]approximate: Taking taylor expansion of (- (cos (/ 1 (- eps))) 1) in (eps) around 0 * [misc]taylor: Taking taylor expansion of (- (cos (/ 1 (- eps))) 1) in eps * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- eps))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (cos (/ 1 (- eps))) into (cos (/ -1 eps)) * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (cos (/ 1 (- eps))) 1) in eps * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- eps))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (cos (/ 1 (- eps))) into (cos (/ -1 eps)) * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (cos (/ -1 eps)) -1) into (- (cos (/ -1 eps)) 1) * [misc]backup-simplify: Simplify (- (cos (/ -1 eps)) 1) into (- (cos (/ -1 eps)) 1) * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (cos (/ -1 (/ 1 (- eps)))) 1) into (- (cos eps) 1) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2 1 1 2) * [misc]approximate: Taking taylor expansion of (- (cos eps) 1) in (eps) around 0 * [misc]taylor: Taking taylor expansion of (- (cos eps) 1) in eps * [misc]taylor: Taking taylor expansion of (cos eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (cos eps) 1) in eps * [misc]taylor: Taking taylor expansion of (cos eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 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 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- 1/2) 0) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 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 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/24 0) into 1/24 * [misc]backup-simplify: Simplify 1/24 into 1/24 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 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 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into (- 1/720) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- 1/720) 0) into -1/720 * [misc]backup-simplify: Simplify -1/720 into -1/720 * [misc]backup-simplify: Simplify (+ (* -1/720 (pow eps 6)) (+ (* 1/24 (pow eps 4)) (* -1/2 (pow eps 2)))) into (- (* 1/24 (pow eps 4)) (+ (* 1/2 (pow eps 2)) (* 1/720 (pow eps 6)))) * [misc]approximate: Taking taylor expansion of (- (cos (/ 1 eps)) 1) in (eps) around 0 * [misc]taylor: Taking taylor expansion of (- (cos (/ 1 eps)) 1) in eps * [misc]taylor: Taking taylor expansion of (cos (/ 1 eps)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 (cos (/ 1 eps)) into (cos (/ 1 eps)) * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (cos (/ 1 eps)) 1) in eps * [misc]taylor: Taking taylor expansion of (cos (/ 1 eps)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 (cos (/ 1 eps)) into (cos (/ 1 eps)) * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (cos (/ 1 eps)) -1) into (- (cos (/ 1 eps)) 1) * [misc]backup-simplify: Simplify (- (cos (/ 1 eps)) 1) into (- (cos (/ 1 eps)) 1) * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (cos (/ 1 (/ 1 eps))) 1) into (- (cos eps) 1) * [misc]approximate: Taking taylor expansion of (- (cos (/ 1 (- eps))) 1) in (eps) around 0 * [misc]taylor: Taking taylor expansion of (- (cos (/ 1 (- eps))) 1) in eps * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- eps))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (cos (/ 1 (- eps))) into (cos (/ -1 eps)) * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (cos (/ 1 (- eps))) 1) in eps * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- eps))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (cos (/ 1 (- eps))) into (cos (/ -1 eps)) * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (cos (/ -1 eps)) -1) into (- (cos (/ -1 eps)) 1) * [misc]backup-simplify: Simplify (- (cos (/ -1 eps)) 1) into (- (cos (/ -1 eps)) 1) * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (cos (/ -1 (/ 1 (- eps)))) 1) into (- (cos eps) 1) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 2 1 1 1) * [misc]approximate: Taking taylor expansion of (- (cos eps) 1) in (eps) around 0 * [misc]taylor: Taking taylor expansion of (- (cos eps) 1) in eps * [misc]taylor: Taking taylor expansion of (cos eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (cos eps) 1) in eps * [misc]taylor: Taking taylor expansion of (cos eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 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 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- 1/2) 0) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 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 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/24 0) into 1/24 * [misc]backup-simplify: Simplify 1/24 into 1/24 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 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 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into (- 1/720) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- 1/720) 0) into -1/720 * [misc]backup-simplify: Simplify -1/720 into -1/720 * [misc]backup-simplify: Simplify (+ (* -1/720 (pow eps 6)) (+ (* 1/24 (pow eps 4)) (* -1/2 (pow eps 2)))) into (- (* 1/24 (pow eps 4)) (+ (* 1/2 (pow eps 2)) (* 1/720 (pow eps 6)))) * [misc]approximate: Taking taylor expansion of (- (cos (/ 1 eps)) 1) in (eps) around 0 * [misc]taylor: Taking taylor expansion of (- (cos (/ 1 eps)) 1) in eps * [misc]taylor: Taking taylor expansion of (cos (/ 1 eps)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 (cos (/ 1 eps)) into (cos (/ 1 eps)) * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (cos (/ 1 eps)) 1) in eps * [misc]taylor: Taking taylor expansion of (cos (/ 1 eps)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 (cos (/ 1 eps)) into (cos (/ 1 eps)) * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (cos (/ 1 eps)) -1) into (- (cos (/ 1 eps)) 1) * [misc]backup-simplify: Simplify (- (cos (/ 1 eps)) 1) into (- (cos (/ 1 eps)) 1) * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (cos (/ 1 (/ 1 eps))) 1) into (- (cos eps) 1) * [misc]approximate: Taking taylor expansion of (- (cos (/ 1 (- eps))) 1) in (eps) around 0 * [misc]taylor: Taking taylor expansion of (- (cos (/ 1 (- eps))) 1) in eps * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- eps))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (cos (/ 1 (- eps))) into (cos (/ -1 eps)) * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (cos (/ 1 (- eps))) 1) in eps * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- eps))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (cos (/ 1 (- eps))) into (cos (/ -1 eps)) * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (cos (/ -1 eps)) -1) into (- (cos (/ -1 eps)) 1) * [misc]backup-simplify: Simplify (- (cos (/ -1 eps)) 1) into (- (cos (/ -1 eps)) 1) * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (cos (/ -1 (/ 1 (- eps)))) 1) into (- (cos eps) 1) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (cbrt (* (* (- (cos eps) 1) (- (cos eps) 1)) (- (cos eps) 1))) in (eps) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- (cos eps) 1) (- (cos eps) 1)) (- (cos eps) 1))) in eps * [misc]taylor: Rewrote expression to (pow (* (* (- (cos eps) 1) (- (cos eps) 1)) (- (cos eps) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- (cos eps) 1) (- (cos eps) 1)) (- (cos eps) 1))))) in eps * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- (cos eps) 1) (- (cos eps) 1)) (- (cos eps) 1)))) in eps * [misc]taylor: Taking taylor expansion of 1/3 in eps * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- (cos eps) 1) (- (cos eps) 1)) (- (cos eps) 1))) in eps * [misc]taylor: Taking taylor expansion of (* (* (- (cos eps) 1) (- (cos eps) 1)) (- (cos eps) 1)) in eps * [misc]taylor: Taking taylor expansion of (* (- (cos eps) 1) (- (cos eps) 1)) in eps * [misc]taylor: Taking taylor expansion of (- (cos eps) 1) in eps * [misc]taylor: Taking taylor expansion of (cos eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (cos eps) 1) in eps * [misc]taylor: Taking taylor expansion of (cos eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (cos eps) 1) in eps * [misc]taylor: Taking taylor expansion of (cos eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- 1/2) 0) into -1/2 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- 1/2) 0) into -1/2 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- 1/2) 0) into -1/2 * [misc]backup-simplify: Simplify (+ (* 0 -1/2) (+ (* 0 0) (* -1/2 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 -1/2) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 -1/2) (+ (* -1/2 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/24 0) into 1/24 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/24 0) into 1/24 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/24 0) into 1/24 * [misc]backup-simplify: Simplify (+ (* 0 1/24) (+ (* 0 0) (+ (* -1/2 -1/2) (+ (* 0 0) (* 1/24 0))))) into 1/4 * [misc]backup-simplify: Simplify (+ (* 0 1/24) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 1/4 0))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 1/24) (+ (* -1/2 0) (+ (* 0 -1/2) (+ (* 1/24 0) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 1/24) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 1/4 0) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into (- 1/720) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- 1/720) 0) into -1/720 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into (- 1/720) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- 1/720) 0) into -1/720 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into (- 1/720) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- 1/720) 0) into -1/720 * [misc]backup-simplify: Simplify (+ (* 0 -1/720) (+ (* 0 0) (+ (* -1/2 1/24) (+ (* 0 0) (+ (* 1/24 -1/2) (+ (* 0 0) (* -1/720 0))))))) into -1/24 * [misc]backup-simplify: Simplify (+ (* 0 -1/720) (+ (* 0 0) (+ (* 0 1/24) (+ (* 0 0) (+ (* 1/4 -1/2) (+ (* 0 0) (* -1/24 0))))))) into -1/8 * [misc]backup-simplify: Simplify (log -1/8) into (log -1/8) * [misc]backup-simplify: Simplify (+ (* (- -6) (log eps)) (log -1/8)) into (+ (log -1/8) (* 6 (log eps))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log -1/8) (* 6 (log eps)))) into (* 1/3 (+ (log -1/8) (* 6 (log eps)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log -1/8) (* 6 (log eps))))) into (exp (* 1/3 (+ (log -1/8) (* 6 (log eps))))) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- (cos eps) 1) (- (cos eps) 1)) (- (cos eps) 1))) in eps * [misc]taylor: Rewrote expression to (pow (* (* (- (cos eps) 1) (- (cos eps) 1)) (- (cos eps) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- (cos eps) 1) (- (cos eps) 1)) (- (cos eps) 1))))) in eps * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- (cos eps) 1) (- (cos eps) 1)) (- (cos eps) 1)))) in eps * [misc]taylor: Taking taylor expansion of 1/3 in eps * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- (cos eps) 1) (- (cos eps) 1)) (- (cos eps) 1))) in eps * [misc]taylor: Taking taylor expansion of (* (* (- (cos eps) 1) (- (cos eps) 1)) (- (cos eps) 1)) in eps * [misc]taylor: Taking taylor expansion of (* (- (cos eps) 1) (- (cos eps) 1)) in eps * [misc]taylor: Taking taylor expansion of (- (cos eps) 1) in eps * [misc]taylor: Taking taylor expansion of (cos eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (cos eps) 1) in eps * [misc]taylor: Taking taylor expansion of (cos eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (cos eps) 1) in eps * [misc]taylor: Taking taylor expansion of (cos eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- 1/2) 0) into -1/2 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- 1/2) 0) into -1/2 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- 1/2) 0) into -1/2 * [misc]backup-simplify: Simplify (+ (* 0 -1/2) (+ (* 0 0) (* -1/2 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 -1/2) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 -1/2) (+ (* -1/2 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/24 0) into 1/24 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/24 0) into 1/24 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/24 0) into 1/24 * [misc]backup-simplify: Simplify (+ (* 0 1/24) (+ (* 0 0) (+ (* -1/2 -1/2) (+ (* 0 0) (* 1/24 0))))) into 1/4 * [misc]backup-simplify: Simplify (+ (* 0 1/24) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 1/4 0))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 1/24) (+ (* -1/2 0) (+ (* 0 -1/2) (+ (* 1/24 0) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 1/24) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 1/4 0) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into (- 1/720) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- 1/720) 0) into -1/720 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into (- 1/720) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- 1/720) 0) into -1/720 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into (- 1/720) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- 1/720) 0) into -1/720 * [misc]backup-simplify: Simplify (+ (* 0 -1/720) (+ (* 0 0) (+ (* -1/2 1/24) (+ (* 0 0) (+ (* 1/24 -1/2) (+ (* 0 0) (* -1/720 0))))))) into -1/24 * [misc]backup-simplify: Simplify (+ (* 0 -1/720) (+ (* 0 0) (+ (* 0 1/24) (+ (* 0 0) (+ (* 1/4 -1/2) (+ (* 0 0) (* -1/24 0))))))) into -1/8 * [misc]backup-simplify: Simplify (log -1/8) into (log -1/8) * [misc]backup-simplify: Simplify (+ (* (- -6) (log eps)) (log -1/8)) into (+ (log -1/8) (* 6 (log eps))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log -1/8) (* 6 (log eps)))) into (* 1/3 (+ (log -1/8) (* 6 (log eps)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log -1/8) (* 6 (log eps))))) into (exp (* 1/3 (+ (log -1/8) (* 6 (log eps))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log -1/8) (* 6 (log eps))))) into (exp (* 1/3 (+ (log -1/8) (* 6 (log eps))))) * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 5) 120) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* 1 (/ (pow 1 1) 1) (/ (pow 0 3) 6)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 5) 120) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* 1 (/ (pow 1 1) 1) (/ (pow 0 3) 6)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 5) 120) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* 1 (/ (pow 1 1) 1) (/ (pow 0 3) 6)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 -1/720) (+ (* -1/2 0) (+ (* 0 1/24) (+ (* 1/24 0) (+ (* 0 -1/2) (+ (* -1/720 0) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 -1/720) (+ (* 0 0) (+ (* 0 1/24) (+ (* 1/4 0) (+ (* 0 -1/2) (+ (* -1/24 0) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1/8 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -6) (log eps)) (log -1/8)) into (+ (log -1/8) (* 6 (log eps))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log -1/8) (* 6 (log eps))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log -1/8) (* 6 (log eps))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 8) 40320)) 0 (* -1 (/ (pow 1 5) 120) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 4) 24) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 (* 1 (/ (pow 1 2) 2) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 (* 1 (/ (pow 1 1) 1) (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* 1 (/ (pow 0 4) 24)) 0 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/40320 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/40320 0) into 1/40320 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 8) 40320)) 0 (* -1 (/ (pow 1 5) 120) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 4) 24) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 (* 1 (/ (pow 1 2) 2) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 (* 1 (/ (pow 1 1) 1) (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* 1 (/ (pow 0 4) 24)) 0 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/40320 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/40320 0) into 1/40320 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 8) 40320)) 0 (* -1 (/ (pow 1 5) 120) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 4) 24) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 (* 1 (/ (pow 1 2) 2) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 (* 1 (/ (pow 1 1) 1) (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* 1 (/ (pow 0 4) 24)) 0 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/40320 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/40320 0) into 1/40320 * [misc]backup-simplify: Simplify (+ (* 0 1/40320) (+ (* 0 0) (+ (* -1/2 -1/720) (+ (* 0 0) (+ (* 1/24 1/24) (+ (* 0 0) (+ (* -1/720 -1/2) (+ (* 0 0) (* 1/40320 0))))))))) into 1/320 * [misc]backup-simplify: Simplify (+ (* 0 1/40320) (+ (* 0 0) (+ (* 0 -1/720) (+ (* 0 0) (+ (* 1/4 1/24) (+ (* 0 0) (+ (* -1/24 -1/2) (+ (* 0 0) (* 1/320 0))))))))) into 1/32 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1/8 2))) (* 1 (/ (* 1 (pow (* 2 1/32) 1)) (pow -1/8 1)))) 2) into -1/4 * [misc]backup-simplify: Simplify (+ (* (- -6) (log eps)) (log -1/8)) into (+ (log -1/8) (* 6 (log eps))) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/4) (+ (* 0 0) (* 0 (+ (log -1/8) (* 6 (log eps)))))) into (- 1/12) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log -1/8) (* 6 (log eps))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- 1/12) 1) 1)))) into (* -1/12 (exp (* 1/3 (+ (log -1/8) (* 6 (log eps)))))) * [misc]backup-simplify: Simplify (* -1/12 (exp (* 1/3 (+ (log -1/8) (* 6 (log eps)))))) into (* -1/12 (exp (* 1/3 (+ (log -1/8) (* 6 (log eps)))))) * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 1 7) 5040) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 5) 120) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 4) 24) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 1 3) 6) (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 (* 1 (/ (pow 1 2) 2) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 1 1) 1) (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 2) 2)) 0 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* 1 (/ (pow 0 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 1 7) 5040) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 5) 120) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 4) 24) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 1 3) 6) (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 (* 1 (/ (pow 1 2) 2) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 1 1) 1) (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 2) 2)) 0 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* 1 (/ (pow 0 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 1 7) 5040) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 5) 120) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 4) 24) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 1 3) 6) (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 (* 1 (/ (pow 1 2) 2) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 1 1) 1) (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 2) 2)) 0 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* 1 (/ (pow 0 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 1/40320) (+ (* -1/2 0) (+ (* 0 -1/720) (+ (* 1/24 0) (+ (* 0 1/24) (+ (* -1/720 0) (+ (* 0 -1/2) (+ (* 1/40320 0) (* 0 0)))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 1/40320) (+ (* 0 0) (+ (* 0 -1/720) (+ (* 1/4 0) (+ (* 0 1/24) (+ (* -1/24 0) (+ (* 0 -1/2) (+ (* 1/320 0) (* 0 0)))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1/8 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1/32) 1)) (pow -1/8 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1/8 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -6) (log eps)) (log -1/8)) into (+ (log -1/8) (* 6 (log eps))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 -1/4) (+ (* 0 0) (* 0 (+ (log -1/8) (* 6 (log eps))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log -1/8) (* 6 (log eps))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- 1/12) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 10) 3628800)) 0 (* 1 (/ (pow 1 7) 5040) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 6) 720) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 5) 120) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 1 4) 24) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 4) 24) (/ (pow 0 2) 2)) 0 (* -1 (/ (pow 1 3) 6) (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 2) 2) (/ (pow 0 4) 24)) 0 0 (* 1 (/ (pow 1 2) 2) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 1 1) 1) (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* 1 (/ (pow 1 1) 1) (/ (pow 0 3) 6)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* 1 (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 0 2) 2) (/ (pow 0 2) 2)) 0 0 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into (- 1/3628800) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- 1/3628800) 0) into -1/3628800 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 10) 3628800)) 0 (* 1 (/ (pow 1 7) 5040) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 6) 720) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 5) 120) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 1 4) 24) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 4) 24) (/ (pow 0 2) 2)) 0 (* -1 (/ (pow 1 3) 6) (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 2) 2) (/ (pow 0 4) 24)) 0 0 (* 1 (/ (pow 1 2) 2) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 1 1) 1) (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* 1 (/ (pow 1 1) 1) (/ (pow 0 3) 6)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* 1 (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 0 2) 2) (/ (pow 0 2) 2)) 0 0 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into (- 1/3628800) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- 1/3628800) 0) into -1/3628800 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 10) 3628800)) 0 (* 1 (/ (pow 1 7) 5040) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 6) 720) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 5) 120) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 1 4) 24) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 4) 24) (/ (pow 0 2) 2)) 0 (* -1 (/ (pow 1 3) 6) (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 2) 2) (/ (pow 0 4) 24)) 0 0 (* 1 (/ (pow 1 2) 2) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 1 1) 1) (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* 1 (/ (pow 1 1) 1) (/ (pow 0 3) 6)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* 1 (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 0 2) 2) (/ (pow 0 2) 2)) 0 0 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into (- 1/3628800) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- 1/3628800) 0) into -1/3628800 * [misc]backup-simplify: Simplify (+ (* 0 -1/3628800) (+ (* 0 0) (+ (* -1/2 1/40320) (+ (* 0 0) (+ (* 1/24 -1/720) (+ (* 0 0) (+ (* -1/720 1/24) (+ (* 0 0) (+ (* 1/40320 -1/2) (+ (* 0 0) (* -1/3628800 0))))))))))) into -17/120960 * [misc]backup-simplify: Simplify (+ (* 0 -1/3628800) (+ (* 0 0) (+ (* 0 1/40320) (+ (* 0 0) (+ (* 1/4 -1/720) (+ (* 0 0) (+ (* -1/24 1/24) (+ (* 0 0) (+ (* 1/320 -1/2) (+ (* 0 0) (* -17/120960 0))))))))))) into -7/1920 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow -1/8 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 1/32) 1)) (pow -1/8 3))) (* -3 (/ (* 1 (pow (* 2 1/32) 2)) (pow -1/8 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow -1/8 2))) (* 1 (/ (* 1 1 1 (pow (* 24 -7/1920) 1)) (pow -1/8 1)))) 24) into -1/480 * [misc]backup-simplify: Simplify (+ (* (- -6) (log eps)) (log -1/8)) into (+ (log -1/8) (* 6 (log eps))) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/480) (+ (* 0 0) (+ (* 0 -1/4) (+ (* 0 0) (* 0 (+ (log -1/8) (* 6 (log eps)))))))) into (- 1/1440) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log -1/8) (* 6 (log eps))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (- 1/12) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (- 1/12) 2) 2)) (* (/ (pow (- 1/1440) 1) 1)))) into (* 1/360 (exp (* 1/3 (+ (log -1/8) (* 6 (log eps)))))) * [misc]backup-simplify: Simplify (* 1/360 (exp (* 1/3 (+ (log -1/8) (* 6 (log eps)))))) into (* 1/360 (exp (* 1/3 (+ (log -1/8) (* 6 (log eps)))))) * [misc]backup-simplify: Simplify (+ (* (* 1/360 (exp (* 1/3 (+ (log -1/8) (* 6 (log eps)))))) (pow eps 4)) (+ (* (* -1/12 (exp (* 1/3 (+ (log -1/8) (* 6 (log eps)))))) (pow eps 2)) (exp (* 1/3 (+ (log -1/8) (* 6 (log eps))))))) into (- (+ (exp (* 1/3 (+ (log -1/8) (* 6 (log eps))))) (* 1/360 (* (exp (* 1/3 (+ (log -1/8) (* 6 (log eps))))) (pow eps 4)))) (* 1/12 (* (exp (* 1/3 (+ (log -1/8) (* 6 (log eps))))) (pow eps 2)))) * [misc]approximate: Taking taylor expansion of (cbrt (* (* (- (cos (/ 1 eps)) 1) (- (cos (/ 1 eps)) 1)) (- (cos (/ 1 eps)) 1))) in (eps) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- (cos (/ 1 eps)) 1) (- (cos (/ 1 eps)) 1)) (- (cos (/ 1 eps)) 1))) in eps * [misc]taylor: Rewrote expression to (pow (* (* (- (cos (/ 1 eps)) 1) (- (cos (/ 1 eps)) 1)) (- (cos (/ 1 eps)) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- (cos (/ 1 eps)) 1) (- (cos (/ 1 eps)) 1)) (- (cos (/ 1 eps)) 1))))) in eps * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- (cos (/ 1 eps)) 1) (- (cos (/ 1 eps)) 1)) (- (cos (/ 1 eps)) 1)))) in eps * [misc]taylor: Taking taylor expansion of 1/3 in eps * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- (cos (/ 1 eps)) 1) (- (cos (/ 1 eps)) 1)) (- (cos (/ 1 eps)) 1))) in eps * [misc]taylor: Taking taylor expansion of (* (* (- (cos (/ 1 eps)) 1) (- (cos (/ 1 eps)) 1)) (- (cos (/ 1 eps)) 1)) in eps * [misc]taylor: Taking taylor expansion of (* (- (cos (/ 1 eps)) 1) (- (cos (/ 1 eps)) 1)) in eps * [misc]taylor: Taking taylor expansion of (- (cos (/ 1 eps)) 1) in eps * [misc]taylor: Taking taylor expansion of (cos (/ 1 eps)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 (cos (/ 1 eps)) into (cos (/ 1 eps)) * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (cos (/ 1 eps)) 1) in eps * [misc]taylor: Taking taylor expansion of (cos (/ 1 eps)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 (cos (/ 1 eps)) into (cos (/ 1 eps)) * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (cos (/ 1 eps)) 1) in eps * [misc]taylor: Taking taylor expansion of (cos (/ 1 eps)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 (cos (/ 1 eps)) into (cos (/ 1 eps)) * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (cos (/ 1 eps)) -1) into (- (cos (/ 1 eps)) 1) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (cos (/ 1 eps)) -1) into (- (cos (/ 1 eps)) 1) * [misc]backup-simplify: Simplify (* (- (cos (/ 1 eps)) 1) (- (cos (/ 1 eps)) 1)) into (pow (- (cos (/ 1 eps)) 1) 2) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (cos (/ 1 eps)) -1) into (- (cos (/ 1 eps)) 1) * [misc]backup-simplify: Simplify (* (pow (- (cos (/ 1 eps)) 1) 2) (- (cos (/ 1 eps)) 1)) into (pow (- (cos (/ 1 eps)) 1) 3) * [misc]backup-simplify: Simplify (log (pow (- (cos (/ 1 eps)) 1) 3)) into (log (pow (- (cos (/ 1 eps)) 1) 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (- (cos (/ 1 eps)) 1) 3))) into (* 1/3 (log (pow (- (cos (/ 1 eps)) 1) 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (- (cos (/ 1 eps)) 1) 3)))) into (pow (pow (- (cos (/ 1 eps)) 1) 3) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- (cos (/ 1 eps)) 1) (- (cos (/ 1 eps)) 1)) (- (cos (/ 1 eps)) 1))) in eps * [misc]taylor: Rewrote expression to (pow (* (* (- (cos (/ 1 eps)) 1) (- (cos (/ 1 eps)) 1)) (- (cos (/ 1 eps)) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- (cos (/ 1 eps)) 1) (- (cos (/ 1 eps)) 1)) (- (cos (/ 1 eps)) 1))))) in eps * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- (cos (/ 1 eps)) 1) (- (cos (/ 1 eps)) 1)) (- (cos (/ 1 eps)) 1)))) in eps * [misc]taylor: Taking taylor expansion of 1/3 in eps * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- (cos (/ 1 eps)) 1) (- (cos (/ 1 eps)) 1)) (- (cos (/ 1 eps)) 1))) in eps * [misc]taylor: Taking taylor expansion of (* (* (- (cos (/ 1 eps)) 1) (- (cos (/ 1 eps)) 1)) (- (cos (/ 1 eps)) 1)) in eps * [misc]taylor: Taking taylor expansion of (* (- (cos (/ 1 eps)) 1) (- (cos (/ 1 eps)) 1)) in eps * [misc]taylor: Taking taylor expansion of (- (cos (/ 1 eps)) 1) in eps * [misc]taylor: Taking taylor expansion of (cos (/ 1 eps)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 (cos (/ 1 eps)) into (cos (/ 1 eps)) * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (cos (/ 1 eps)) 1) in eps * [misc]taylor: Taking taylor expansion of (cos (/ 1 eps)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 (cos (/ 1 eps)) into (cos (/ 1 eps)) * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (cos (/ 1 eps)) 1) in eps * [misc]taylor: Taking taylor expansion of (cos (/ 1 eps)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 (cos (/ 1 eps)) into (cos (/ 1 eps)) * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (cos (/ 1 eps)) -1) into (- (cos (/ 1 eps)) 1) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (cos (/ 1 eps)) -1) into (- (cos (/ 1 eps)) 1) * [misc]backup-simplify: Simplify (* (- (cos (/ 1 eps)) 1) (- (cos (/ 1 eps)) 1)) into (pow (- (cos (/ 1 eps)) 1) 2) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (cos (/ 1 eps)) -1) into (- (cos (/ 1 eps)) 1) * [misc]backup-simplify: Simplify (* (pow (- (cos (/ 1 eps)) 1) 2) (- (cos (/ 1 eps)) 1)) into (pow (- (cos (/ 1 eps)) 1) 3) * [misc]backup-simplify: Simplify (log (pow (- (cos (/ 1 eps)) 1) 3)) into (log (pow (- (cos (/ 1 eps)) 1) 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (- (cos (/ 1 eps)) 1) 3))) into (* 1/3 (log (pow (- (cos (/ 1 eps)) 1) 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (- (cos (/ 1 eps)) 1) 3)))) into (pow (pow (- (cos (/ 1 eps)) 1) 3) 1/3) * [misc]backup-simplify: Simplify (pow (pow (- (cos (/ 1 eps)) 1) 3) 1/3) into (pow (pow (- (cos (/ 1 eps)) 1) 3) 1/3) * [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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (cos (/ 1 eps)) 1) 0) (* 0 (- (cos (/ 1 eps)) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (- (cos (/ 1 eps)) 1) 2) 0) (* 0 (- (cos (/ 1 eps)) 1))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (- (cos (/ 1 eps)) 1) 3) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (pow (- (cos (/ 1 eps)) 1) 3)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (- (cos (/ 1 eps)) 1) 3)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (cos (/ 1 eps)) 1) 0) (+ (* 0 0) (* 0 (- (cos (/ 1 eps)) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (- (cos (/ 1 eps)) 1) 2) 0) (+ (* 0 0) (* 0 (- (cos (/ 1 eps)) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (- (cos (/ 1 eps)) 1) 3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (- (cos (/ 1 eps)) 1) 3) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (pow (- (cos (/ 1 eps)) 1) 3))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (- (cos (/ 1 eps)) 1) 3)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (cos (/ 1 eps)) 1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (cos (/ 1 eps)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (- (cos (/ 1 eps)) 1) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (cos (/ 1 eps)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (- (cos (/ 1 eps)) 1) 3) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (- (cos (/ 1 eps)) 1) 3) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (- (cos (/ 1 eps)) 1) 3) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (- (cos (/ 1 eps)) 1) 3)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (- (cos (/ 1 eps)) 1) 3)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (cos (/ 1 eps)) 1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (cos (/ 1 eps)) 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (- (cos (/ 1 eps)) 1) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (cos (/ 1 eps)) 1)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (pow (- (cos (/ 1 eps)) 1) 3) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (pow (- (cos (/ 1 eps)) 1) 3) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (pow (- (cos (/ 1 eps)) 1) 3) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (pow (- (cos (/ 1 eps)) 1) 3) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (pow (- (cos (/ 1 eps)) 1) 3) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (- (cos (/ 1 eps)) 1) 3))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (- (cos (/ 1 eps)) 1) 3)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (cos (/ 1 eps)) 1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (cos (/ 1 eps)) 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (- (cos (/ 1 eps)) 1) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (cos (/ 1 eps)) 1))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (pow (- (cos (/ 1 eps)) 1) 3) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (pow (- (cos (/ 1 eps)) 1) 3) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (pow (- (cos (/ 1 eps)) 1) 3) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (pow (- (cos (/ 1 eps)) 1) 3) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (pow (- (cos (/ 1 eps)) 1) 3) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (pow (- (cos (/ 1 eps)) 1) 3) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (pow (- (cos (/ 1 eps)) 1) 3) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (- (cos (/ 1 eps)) 1) 3)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (- (cos (/ 1 eps)) 1) 3)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (cos (/ 1 eps)) 1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (cos (/ 1 eps)) 1)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (- (cos (/ 1 eps)) 1) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (cos (/ 1 eps)) 1)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (pow (- (cos (/ 1 eps)) 1) 3) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (pow (- (cos (/ 1 eps)) 1) 3) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (pow (- (cos (/ 1 eps)) 1) 3) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (pow (- (cos (/ 1 eps)) 1) 3) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (pow (- (cos (/ 1 eps)) 1) 3) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (pow (- (cos (/ 1 eps)) 1) 3) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (pow (- (cos (/ 1 eps)) 1) 3) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (pow (- (cos (/ 1 eps)) 1) 3) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (pow (- (cos (/ 1 eps)) 1) 3) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (pow (- (cos (/ 1 eps)) 1) 3) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (pow (- (cos (/ 1 eps)) 1) 3) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (- (cos (/ 1 eps)) 1) 3))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (- (cos (/ 1 eps)) 1) 3)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (pow (- (cos (/ 1 (/ 1 eps))) 1) 3) 1/3) into (pow (pow (- (cos eps) 1) 3) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (* (* (- (cos (/ 1 (- eps))) 1) (- (cos (/ 1 (- eps))) 1)) (- (cos (/ 1 (- eps))) 1))) in (eps) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- (cos (/ 1 (- eps))) 1) (- (cos (/ 1 (- eps))) 1)) (- (cos (/ 1 (- eps))) 1))) in eps * [misc]taylor: Rewrote expression to (pow (* (* (- (cos (/ 1 (- eps))) 1) (- (cos (/ 1 (- eps))) 1)) (- (cos (/ 1 (- eps))) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- (cos (/ 1 (- eps))) 1) (- (cos (/ 1 (- eps))) 1)) (- (cos (/ 1 (- eps))) 1))))) in eps * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- (cos (/ 1 (- eps))) 1) (- (cos (/ 1 (- eps))) 1)) (- (cos (/ 1 (- eps))) 1)))) in eps * [misc]taylor: Taking taylor expansion of 1/3 in eps * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- (cos (/ 1 (- eps))) 1) (- (cos (/ 1 (- eps))) 1)) (- (cos (/ 1 (- eps))) 1))) in eps * [misc]taylor: Taking taylor expansion of (* (* (- (cos (/ 1 (- eps))) 1) (- (cos (/ 1 (- eps))) 1)) (- (cos (/ 1 (- eps))) 1)) in eps * [misc]taylor: Taking taylor expansion of (* (- (cos (/ 1 (- eps))) 1) (- (cos (/ 1 (- eps))) 1)) in eps * [misc]taylor: Taking taylor expansion of (- (cos (/ 1 (- eps))) 1) in eps * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- eps))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (cos (/ 1 (- eps))) into (cos (/ -1 eps)) * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (cos (/ 1 (- eps))) 1) in eps * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- eps))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (cos (/ 1 (- eps))) into (cos (/ -1 eps)) * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (cos (/ 1 (- eps))) 1) in eps * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- eps))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (cos (/ 1 (- eps))) into (cos (/ -1 eps)) * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (cos (/ -1 eps)) -1) into (- (cos (/ -1 eps)) 1) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (cos (/ -1 eps)) -1) into (- (cos (/ -1 eps)) 1) * [misc]backup-simplify: Simplify (* (- (cos (/ -1 eps)) 1) (- (cos (/ -1 eps)) 1)) into (pow (- (cos (/ -1 eps)) 1) 2) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (cos (/ -1 eps)) -1) into (- (cos (/ -1 eps)) 1) * [misc]backup-simplify: Simplify (* (pow (- (cos (/ -1 eps)) 1) 2) (- (cos (/ -1 eps)) 1)) into (pow (- (cos (/ -1 eps)) 1) 3) * [misc]backup-simplify: Simplify (log (pow (- (cos (/ -1 eps)) 1) 3)) into (log (pow (- (cos (/ -1 eps)) 1) 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (- (cos (/ -1 eps)) 1) 3))) into (* 1/3 (log (pow (- (cos (/ -1 eps)) 1) 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (- (cos (/ -1 eps)) 1) 3)))) into (pow (pow (- (cos (/ -1 eps)) 1) 3) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- (cos (/ 1 (- eps))) 1) (- (cos (/ 1 (- eps))) 1)) (- (cos (/ 1 (- eps))) 1))) in eps * [misc]taylor: Rewrote expression to (pow (* (* (- (cos (/ 1 (- eps))) 1) (- (cos (/ 1 (- eps))) 1)) (- (cos (/ 1 (- eps))) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- (cos (/ 1 (- eps))) 1) (- (cos (/ 1 (- eps))) 1)) (- (cos (/ 1 (- eps))) 1))))) in eps * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- (cos (/ 1 (- eps))) 1) (- (cos (/ 1 (- eps))) 1)) (- (cos (/ 1 (- eps))) 1)))) in eps * [misc]taylor: Taking taylor expansion of 1/3 in eps * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- (cos (/ 1 (- eps))) 1) (- (cos (/ 1 (- eps))) 1)) (- (cos (/ 1 (- eps))) 1))) in eps * [misc]taylor: Taking taylor expansion of (* (* (- (cos (/ 1 (- eps))) 1) (- (cos (/ 1 (- eps))) 1)) (- (cos (/ 1 (- eps))) 1)) in eps * [misc]taylor: Taking taylor expansion of (* (- (cos (/ 1 (- eps))) 1) (- (cos (/ 1 (- eps))) 1)) in eps * [misc]taylor: Taking taylor expansion of (- (cos (/ 1 (- eps))) 1) in eps * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- eps))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (cos (/ 1 (- eps))) into (cos (/ -1 eps)) * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (cos (/ 1 (- eps))) 1) in eps * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- eps))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (cos (/ 1 (- eps))) into (cos (/ -1 eps)) * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (cos (/ 1 (- eps))) 1) in eps * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- eps))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (cos (/ 1 (- eps))) into (cos (/ -1 eps)) * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (cos (/ -1 eps)) -1) into (- (cos (/ -1 eps)) 1) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (cos (/ -1 eps)) -1) into (- (cos (/ -1 eps)) 1) * [misc]backup-simplify: Simplify (* (- (cos (/ -1 eps)) 1) (- (cos (/ -1 eps)) 1)) into (pow (- (cos (/ -1 eps)) 1) 2) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (cos (/ -1 eps)) -1) into (- (cos (/ -1 eps)) 1) * [misc]backup-simplify: Simplify (* (pow (- (cos (/ -1 eps)) 1) 2) (- (cos (/ -1 eps)) 1)) into (pow (- (cos (/ -1 eps)) 1) 3) * [misc]backup-simplify: Simplify (log (pow (- (cos (/ -1 eps)) 1) 3)) into (log (pow (- (cos (/ -1 eps)) 1) 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (- (cos (/ -1 eps)) 1) 3))) into (* 1/3 (log (pow (- (cos (/ -1 eps)) 1) 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (- (cos (/ -1 eps)) 1) 3)))) into (pow (pow (- (cos (/ -1 eps)) 1) 3) 1/3) * [misc]backup-simplify: Simplify (pow (pow (- (cos (/ -1 eps)) 1) 3) 1/3) into (pow (pow (- (cos (/ -1 eps)) 1) 3) 1/3) * [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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (cos (/ -1 eps)) 1) 0) (* 0 (- (cos (/ -1 eps)) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (- (cos (/ -1 eps)) 1) 2) 0) (* 0 (- (cos (/ -1 eps)) 1))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (- (cos (/ -1 eps)) 1) 3) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (pow (- (cos (/ -1 eps)) 1) 3)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (- (cos (/ -1 eps)) 1) 3)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (cos (/ -1 eps)) 1) 0) (+ (* 0 0) (* 0 (- (cos (/ -1 eps)) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (- (cos (/ -1 eps)) 1) 2) 0) (+ (* 0 0) (* 0 (- (cos (/ -1 eps)) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (- (cos (/ -1 eps)) 1) 3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (- (cos (/ -1 eps)) 1) 3) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (pow (- (cos (/ -1 eps)) 1) 3))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (- (cos (/ -1 eps)) 1) 3)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (cos (/ -1 eps)) 1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (cos (/ -1 eps)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (- (cos (/ -1 eps)) 1) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (cos (/ -1 eps)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (- (cos (/ -1 eps)) 1) 3) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (- (cos (/ -1 eps)) 1) 3) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (- (cos (/ -1 eps)) 1) 3) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (- (cos (/ -1 eps)) 1) 3)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (- (cos (/ -1 eps)) 1) 3)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (cos (/ -1 eps)) 1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (cos (/ -1 eps)) 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (- (cos (/ -1 eps)) 1) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (cos (/ -1 eps)) 1)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (pow (- (cos (/ -1 eps)) 1) 3) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (pow (- (cos (/ -1 eps)) 1) 3) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (pow (- (cos (/ -1 eps)) 1) 3) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (pow (- (cos (/ -1 eps)) 1) 3) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (pow (- (cos (/ -1 eps)) 1) 3) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (- (cos (/ -1 eps)) 1) 3))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (- (cos (/ -1 eps)) 1) 3)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (cos (/ -1 eps)) 1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (cos (/ -1 eps)) 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (- (cos (/ -1 eps)) 1) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (cos (/ -1 eps)) 1))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (pow (- (cos (/ -1 eps)) 1) 3) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (pow (- (cos (/ -1 eps)) 1) 3) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (pow (- (cos (/ -1 eps)) 1) 3) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (pow (- (cos (/ -1 eps)) 1) 3) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (pow (- (cos (/ -1 eps)) 1) 3) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (pow (- (cos (/ -1 eps)) 1) 3) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (pow (- (cos (/ -1 eps)) 1) 3) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (- (cos (/ -1 eps)) 1) 3)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (- (cos (/ -1 eps)) 1) 3)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (cos (/ -1 eps)) 1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (cos (/ -1 eps)) 1)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (- (cos (/ -1 eps)) 1) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (cos (/ -1 eps)) 1)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (pow (- (cos (/ -1 eps)) 1) 3) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (pow (- (cos (/ -1 eps)) 1) 3) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (pow (- (cos (/ -1 eps)) 1) 3) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (pow (- (cos (/ -1 eps)) 1) 3) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (pow (- (cos (/ -1 eps)) 1) 3) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (pow (- (cos (/ -1 eps)) 1) 3) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (pow (- (cos (/ -1 eps)) 1) 3) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (pow (- (cos (/ -1 eps)) 1) 3) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (pow (- (cos (/ -1 eps)) 1) 3) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (pow (- (cos (/ -1 eps)) 1) 3) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (pow (- (cos (/ -1 eps)) 1) 3) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (- (cos (/ -1 eps)) 1) 3))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (- (cos (/ -1 eps)) 1) 3)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (pow (- (cos (/ -1 (/ 1 (- eps)))) 1) 3) 1/3) into (pow (pow (- (cos eps) 1) 3) 1/3) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (cos eps)) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (+ 1 (sqrt (cos eps))) * [misc]simplify: Simplified (2 2 2 1 2 1) to (λ (x eps) (+ (* (sin eps) (cos x)) (* (sin x) (cbrt (* (* (- (cos eps) 1) (- (cos eps) 1)) (* (+ 1 (sqrt (cos eps))) (- (sqrt (cos eps)) 1))))))) * * * * [misc]progress: [ 12 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (cos eps)) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (+ 1 (sqrt (cos eps))) * [misc]simplify: Simplified (2 2 2 1 1 2 1) to (λ (x eps) (+ (* (sin eps) (cos x)) (* (sin x) (cbrt (* (* (- (cos eps) 1) (* (+ 1 (sqrt (cos eps))) (- (sqrt (cos eps)) 1))) (- (cos eps) 1)))))) * * * * [misc]progress: [ 24 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (cos eps)) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (+ 1 (sqrt (cos eps))) * [misc]simplify: Simplified (2 2 2 1 1 1 1) to (λ (x eps) (+ (* (sin eps) (cos x)) (* (sin x) (cbrt (* (* (* (+ 1 (sqrt (cos eps))) (- (sqrt (cos eps)) 1)) (- (cos eps) 1)) (- (cos eps) 1)))))) * * * * [misc]progress: [ 36 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (- (cos eps) 1) (- (cos eps) 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (cbrt (* (- (cos eps) 1) (- (cos eps) 1))) * [misc]simplify: Simplified (2 2 2 1) to (λ (x eps) (+ (* (sin eps) (cos x)) (* (sin x) (* (cbrt (* (- (cos eps) 1) (- (cos eps) 1))) (cbrt (- (cos eps) 1)))))) * * * * [misc]progress: [ 42 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (* (- (pow (cos eps) 3) (pow 1 3)) (- (pow (cos eps) 3) (pow 1 3))) (- (pow (cos eps) 3) (pow 1 3)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (300 enodes) * [exit]simplify: Simplified to (- (pow (cos eps) 3) 1) * [misc]simplify: Simplified (2 2 2 1) to (λ (x eps) (+ (* (sin eps) (cos x)) (* (sin x) (/ (- (pow (cos eps) 3) 1) (cbrt (* (* (+ (* (cos eps) (cos eps)) (+ (* 1 1) (* (cos eps) 1))) (+ (* (cos eps) (cos eps)) (+ (* 1 1) (* (cos eps) 1)))) (+ (* (cos eps) (cos eps)) (+ (* 1 1) (* (cos eps) 1))))))))) * * * * [misc]progress: [ 43 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (* (- (pow (cos eps) 3) (pow 1 3)) (- (pow (cos eps) 3) (pow 1 3))) (- (* (cos eps) (cos eps)) (* 1 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- (pow (cos eps) 3) 1) (+ (cos eps) 1)) (* (- (pow (cos eps) 3) 1) (- (cos eps) 1)))) * [misc]simplify: Simplified (2 2 2 1) to (λ (x eps) (+ (* (sin eps) (cos x)) (* (sin x) (/ (cbrt (* (* (- (pow (cos eps) 3) 1) (+ (cos eps) 1)) (* (- (pow (cos eps) 3) 1) (- (cos eps) 1)))) (cbrt (* (* (+ (* (cos eps) (cos eps)) (+ (* 1 1) (* (cos eps) 1))) (+ (* (cos eps) (cos eps)) (+ (* 1 1) (* (cos eps) 1)))) (+ (cos eps) 1))))))) * * * * [misc]progress: [ 44 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (* (- (pow (cos eps) 3) (pow 1 3)) (- (* (cos eps) (cos eps)) (* 1 1))) (- (pow (cos eps) 3) (pow 1 3)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (180 enodes) * [exit]simplify: Simplified to (cbrt (* (* (+ (cos eps) 1) (- (pow (cos eps) 3) 1)) (* (- (pow (cos eps) 3) 1) (- (cos eps) 1)))) * [misc]simplify: Simplified (2 2 2 1) to (λ (x eps) (+ (* (sin eps) (cos x)) (* (sin x) (/ (cbrt (* (* (+ (cos eps) 1) (- (pow (cos eps) 3) 1)) (* (- (pow (cos eps) 3) 1) (- (cos eps) 1)))) (cbrt (* (* (+ (* (cos eps) (cos eps)) (+ (* 1 1) (* (cos eps) 1))) (+ (cos eps) 1)) (+ (* (cos eps) (cos eps)) (+ (* 1 1) (* (cos eps) 1))))))))) * * * * [misc]progress: [ 45 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (* (- (pow (cos eps) 3) (pow 1 3)) (- (* (cos eps) (cos eps)) (* 1 1))) (- (* (cos eps) (cos eps)) (* 1 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (sin eps) (sin eps)) (* (sin eps) (sin eps))) (- (pow (cos eps) 3) 1))) * [misc]simplify: Simplified (2 2 2 1) to (λ (x eps) (+ (* (sin eps) (cos x)) (* (sin x) (/ (cbrt (* (* (* (sin eps) (sin eps)) (* (sin eps) (sin eps))) (- (pow (cos eps) 3) 1))) (cbrt (* (* (+ (* (cos eps) (cos eps)) (+ (* 1 1) (* (cos eps) 1))) (+ (cos eps) 1)) (+ (cos eps) 1))))))) * * * * [misc]progress: [ 46 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (* (- (* (cos eps) (cos eps)) (* 1 1)) (- (pow (cos eps) 3) (pow 1 3))) (- (pow (cos eps) 3) (pow 1 3)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (210 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- (pow (cos eps) 3) 1) (+ (cos eps) 1)) (* (+ (cos eps) -1) (- (pow (cos eps) 3) 1)))) * [misc]simplify: Simplified (2 2 2 1) to (λ (x eps) (+ (* (sin eps) (cos x)) (* (sin x) (/ (cbrt (* (* (- (pow (cos eps) 3) 1) (+ (cos eps) 1)) (* (+ (cos eps) -1) (- (pow (cos eps) 3) 1)))) (cbrt (* (* (+ (cos eps) 1) (+ (* (cos eps) (cos eps)) (+ (* 1 1) (* (cos eps) 1)))) (+ (* (cos eps) (cos eps)) (+ (* 1 1) (* (cos eps) 1))))))))) * * * * [misc]progress: [ 47 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (* (- (* (cos eps) (cos eps)) (* 1 1)) (- (pow (cos eps) 3) (pow 1 3))) (- (* (cos eps) (cos eps)) (* 1 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (143 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* (sin eps) (sin eps)) (* (sin eps) (sin eps))) (- (pow (cos eps) 3) 1))) * [misc]simplify: Simplified (2 2 2 1) to (λ (x eps) (+ (* (sin eps) (cos x)) (* (sin x) (/ (cbrt (* (* (* (sin eps) (sin eps)) (* (sin eps) (sin eps))) (- (pow (cos eps) 3) 1))) (cbrt (* (* (+ (cos eps) 1) (+ (* (cos eps) (cos eps)) (+ (* 1 1) (* (cos eps) 1)))) (+ (cos eps) 1))))))) * * * * [misc]progress: [ 48 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (* (- (* (cos eps) (cos eps)) (* 1 1)) (- (* (cos eps) (cos eps)) (* 1 1))) (- (pow (cos eps) 3) (pow 1 3)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * [exit]simplify: Simplified to (cbrt (* (+ -1 (pow (cos eps) 3)) (* (* (sin eps) (sin eps)) (* (sin eps) (sin eps))))) * [misc]simplify: Simplified (2 2 2 1) to (λ (x eps) (+ (* (sin eps) (cos x)) (* (sin x) (/ (cbrt (* (+ -1 (pow (cos eps) 3)) (* (* (sin eps) (sin eps)) (* (sin eps) (sin eps))))) (cbrt (* (* (+ (cos eps) 1) (+ (cos eps) 1)) (+ (* (cos eps) (cos eps)) (+ (* 1 1) (* (cos eps) 1))))))))) * * * * [misc]progress: [ 49 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (* (- (* (cos eps) (cos eps)) (* 1 1)) (- (* (cos eps) (cos eps)) (* 1 1))) (- (* (cos eps) (cos eps)) (* 1 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (202 enodes) * [exit]simplify: Simplified to (* (sin eps) (- (sin eps))) * [misc]simplify: Simplified (2 2 2 1) to (λ (x eps) (+ (* (sin eps) (cos x)) (* (sin x) (/ (* (sin eps) (- (sin eps))) (cbrt (* (* (+ (cos eps) 1) (+ (cos eps) 1)) (+ (cos eps) 1))))))) * * * * [misc]progress: [ 50 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (* (- (cos eps) 1) (- (pow (cos eps) 3) (pow 1 3))) (- (pow (cos eps) 3) (pow 1 3)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (237 enodes) * [exit]simplify: Simplified to (cbrt (* (- (cos eps) 1) (* (+ (pow (cos eps) 3) -1) (+ (pow (cos eps) 3) -1)))) * [misc]simplify: Simplified (2 2 2 1) to (λ (x eps) (+ (* (sin eps) (cos x)) (* (sin x) (/ (cbrt (* (- (cos eps) 1) (* (+ (pow (cos eps) 3) -1) (+ (pow (cos eps) 3) -1)))) (cbrt (* (+ (* (cos eps) (cos eps)) (+ (* 1 1) (* (cos eps) 1))) (+ (* (cos eps) (cos eps)) (+ (* 1 1) (* (cos eps) 1))))))))) * * * * [misc]progress: [ 51 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (* (- (cos eps) 1) (- (pow (cos eps) 3) (pow 1 3))) (- (* (cos eps) (cos eps)) (* 1 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (215 enodes) * [exit]simplify: Simplified to (cbrt (* (* (+ -1 (pow (cos eps) 3)) (+ (cos eps) 1)) (* (- (cos eps) 1) (- (cos eps) 1)))) * [misc]simplify: Simplified (2 2 2 1) to (λ (x eps) (+ (* (sin eps) (cos x)) (* (sin x) (/ (cbrt (* (* (+ -1 (pow (cos eps) 3)) (+ (cos eps) 1)) (* (- (cos eps) 1) (- (cos eps) 1)))) (cbrt (* (+ (* (cos eps) (cos eps)) (+ (* 1 1) (* (cos eps) 1))) (+ (cos eps) 1))))))) * * * * [misc]progress: [ 52 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (* (- (cos eps) 1) (- (* (cos eps) (cos eps)) (* 1 1))) (- (pow (cos eps) 3) (pow 1 3)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (264 enodes) * [exit]simplify: Simplified to (cbrt (+ (* (* (sin eps) (sin eps)) (- (cos eps) 1)) (* (* (- (cos eps)) (* (sin eps) (sin eps))) (* (- (cos eps) 1) (* (cos eps) (cos eps)))))) * [misc]simplify: Simplified (2 2 2 1) to (λ (x eps) (+ (* (sin eps) (cos x)) (* (sin x) (/ (cbrt (+ (* (* (sin eps) (sin eps)) (- (cos eps) 1)) (* (* (- (cos eps)) (* (sin eps) (sin eps))) (* (- (cos eps) 1) (* (cos eps) (cos eps)))))) (cbrt (* (+ (cos eps) 1) (+ (* (cos eps) (cos eps)) (+ (* 1 1) (* (cos eps) 1))))))))) * * * * [misc]progress: [ 53 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (* (- (cos eps) 1) (- (* (cos eps) (cos eps)) (* 1 1))) (- (* (cos eps) (cos eps)) (* 1 1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * [exit]simplify: Simplified to (cbrt (* (* (+ -1 (cos eps)) (* (sin eps) (sin eps))) (* (sin eps) (sin eps)))) * [misc]simplify: Simplified (2 2 2 1) to (λ (x eps) (+ (* (sin eps) (cos x)) (* (sin x) (/ (cbrt (* (* (+ -1 (cos eps)) (* (sin eps) (sin eps))) (* (sin eps) (sin eps)))) (cbrt (* (+ (cos eps) 1) (+ (cos eps) 1))))))) * * * * [misc]progress: [ 54 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (* (- (pow (cos eps) 3) (pow 1 3)) (- (cos eps) 1)) (- (pow (cos eps) 3) (pow 1 3)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (208 enodes) * [exit]simplify: Simplified to (cbrt (* (- (cos eps) 1) (* (- (pow (cos eps) 3) 1) (- (pow (cos eps) 3) 1)))) * [misc]simplify: Simplified (2 2 2 1) to (λ (x eps) (+ (* (sin eps) (cos x)) (* (sin x) (/ (cbrt (* (- (cos eps) 1) (* (- (pow (cos eps) 3) 1) (- (pow (cos eps) 3) 1)))) (cbrt (* (+ (* (cos eps) (cos eps)) (+ (* 1 1) (* (cos eps) 1))) (+ (* (cos eps) (cos eps)) (+ (* 1 1) (* (cos eps) 1))))))))) * * * * [misc]progress: [ 55 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (* (- (pow (cos eps) 3) (pow 1 3)) (- (cos eps) 1)) (- (* (cos eps) (cos eps)) (* 1 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (216 enodes) * [exit]simplify: Simplified to (cbrt (* (- (pow (cos eps) 3) 1) (- (* (* (cos eps) (cos eps)) (- (cos eps) 1)) (- (cos eps) 1)))) * [misc]simplify: Simplified (2 2 2 1) to (λ (x eps) (+ (* (sin eps) (cos x)) (* (sin x) (/ (cbrt (* (- (pow (cos eps) 3) 1) (- (* (* (cos eps) (cos eps)) (- (cos eps) 1)) (- (cos eps) 1)))) (cbrt (* (+ (* (cos eps) (cos eps)) (+ (* 1 1) (* (cos eps) 1))) (+ (cos eps) 1))))))) * * * * [misc]progress: [ 56 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (* (- (* (cos eps) (cos eps)) (* 1 1)) (- (cos eps) 1)) (- (pow (cos eps) 3) (pow 1 3)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (262 enodes) * [exit]simplify: Simplified to (cbrt (* (+ (pow (cos eps) 3) -1) (- (* (- (cos eps) 1) (* (cos eps) (cos eps))) (- (cos eps) 1)))) * [misc]simplify: Simplified (2 2 2 1) to (λ (x eps) (+ (* (sin eps) (cos x)) (* (sin x) (/ (cbrt (* (+ (pow (cos eps) 3) -1) (- (* (- (cos eps) 1) (* (cos eps) (cos eps))) (- (cos eps) 1)))) (cbrt (* (+ (cos eps) 1) (+ (* (cos eps) (cos eps)) (+ (* 1 1) (* (cos eps) 1))))))))) * * * * [misc]progress: [ 57 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (* (- (* (cos eps) (cos eps)) (* 1 1)) (- (cos eps) 1)) (- (* (cos eps) (cos eps)) (* 1 1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * [exit]simplify: Simplified to (cbrt (* (- (cos eps) 1) (* (* (sin eps) (sin eps)) (* (sin eps) (sin eps))))) * [misc]simplify: Simplified (2 2 2 1) to (λ (x eps) (+ (* (sin eps) (cos x)) (* (sin x) (/ (cbrt (* (- (cos eps) 1) (* (* (sin eps) (sin eps)) (* (sin eps) (sin eps))))) (cbrt (* (+ (cos eps) 1) (+ (cos eps) 1))))))) * * * * [misc]progress: [ 58 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (* (- (cos eps) 1) (- (cos eps) 1)) (- (pow (cos eps) 3) (pow 1 3)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- (cos eps) 1) (- (cos eps) 1)) (- (pow (cos eps) 3) 1))) * [misc]simplify: Simplified (2 2 2 1) to (λ (x eps) (+ (* (sin eps) (cos x)) (* (sin x) (/ (cbrt (* (* (- (cos eps) 1) (- (cos eps) 1)) (- (pow (cos eps) 3) 1))) (cbrt (+ (* (cos eps) (cos eps)) (+ (* 1 1) (* (cos eps) 1)))))))) * * * * [misc]progress: [ 59 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (* (- (cos eps) 1) (- (cos eps) 1)) (- (* (cos eps) (cos eps)) (* 1 1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * [exit]simplify: Simplified to (cbrt (* (- (* (sin eps) (sin eps))) (* (- (cos eps) 1) (- (cos eps) 1)))) * [misc]simplify: Simplified (2 2 2 1) to (λ (x eps) (+ (* (sin eps) (cos x)) (* (sin x) (/ (cbrt (* (- (* (sin eps) (sin eps))) (* (- (cos eps) 1) (- (cos eps) 1)))) (cbrt (+ (cos eps) 1)))))) * * * * [misc]progress: [ 60 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (* (- (pow (cos eps) 3) (pow 1 3)) (- (pow (cos eps) 3) (pow 1 3))) (- (cos eps) 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (176 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- (pow (cos eps) 3) 1) (- (cos eps) 1)) (- (pow (cos eps) 3) 1))) * [misc]simplify: Simplified (2 2 2 1) to (λ (x eps) (+ (* (sin eps) (cos x)) (* (sin x) (/ (cbrt (* (* (- (pow (cos eps) 3) 1) (- (cos eps) 1)) (- (pow (cos eps) 3) 1))) (cbrt (* (+ (* (cos eps) (cos eps)) (+ (* 1 1) (* (cos eps) 1))) (+ (* (cos eps) (cos eps)) (+ (* 1 1) (* (cos eps) 1))))))))) * * * * [misc]progress: [ 61 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (* (- (pow (cos eps) 3) (pow 1 3)) (- (* (cos eps) (cos eps)) (* 1 1))) (- (cos eps) 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (257 enodes) * [exit]simplify: Simplified to (cbrt (* (+ (cos eps) 1) (* (* (- (cos eps) 1) (- (cos eps) 1)) (- (pow (cos eps) 3) 1)))) * [misc]simplify: Simplified (2 2 2 1) to (λ (x eps) (+ (* (sin eps) (cos x)) (* (sin x) (/ (cbrt (* (+ (cos eps) 1) (* (* (- (cos eps) 1) (- (cos eps) 1)) (- (pow (cos eps) 3) 1)))) (cbrt (* (+ (* (cos eps) (cos eps)) (+ (* 1 1) (* (cos eps) 1))) (+ (cos eps) 1))))))) * * * * [misc]progress: [ 62 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (* (- (* (cos eps) (cos eps)) (* 1 1)) (- (pow (cos eps) 3) (pow 1 3))) (- (cos eps) 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (254 enodes) * [exit]simplify: Simplified to (cbrt (* (+ (cos eps) 1) (* (* (+ (cos eps) -1) (+ (cos eps) -1)) (- (pow (cos eps) 3) 1)))) * [misc]simplify: Simplified (2 2 2 1) to (λ (x eps) (+ (* (sin eps) (cos x)) (* (sin x) (/ (cbrt (* (+ (cos eps) 1) (* (* (+ (cos eps) -1) (+ (cos eps) -1)) (- (pow (cos eps) 3) 1)))) (cbrt (* (+ (cos eps) 1) (+ (* (cos eps) (cos eps)) (+ (* 1 1) (* (cos eps) 1))))))))) * * * * [misc]progress: [ 63 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (* (- (* (cos eps) (cos eps)) (* 1 1)) (- (* (cos eps) (cos eps)) (* 1 1))) (- (cos eps) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (137 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sin eps) (sin eps)) (* (* (sin eps) (sin eps)) (+ -1 (cos eps))))) * [misc]simplify: Simplified (2 2 2 1) to (λ (x eps) (+ (* (sin eps) (cos x)) (* (sin x) (/ (cbrt (* (* (sin eps) (sin eps)) (* (* (sin eps) (sin eps)) (+ -1 (cos eps))))) (cbrt (* (+ (cos eps) 1) (+ (cos eps) 1))))))) * * * * [misc]progress: [ 64 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (* (- (cos eps) 1) (- (pow (cos eps) 3) (pow 1 3))) (- (cos eps) 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (201 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- (cos eps) 1) (- (cos eps) 1)) (+ (pow (cos eps) 3) -1))) * [misc]simplify: Simplified (2 2 2 1) to (λ (x eps) (+ (* (sin eps) (cos x)) (* (sin x) (/ (cbrt (* (* (- (cos eps) 1) (- (cos eps) 1)) (+ (pow (cos eps) 3) -1))) (cbrt (+ (* (cos eps) (cos eps)) (+ (* 1 1) (* (cos eps) 1)))))))) * * * * [misc]progress: [ 65 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (* (- (cos eps) 1) (- (* (cos eps) (cos eps)) (* 1 1))) (- (cos eps) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (154 enodes) * [exit]simplify: Simplified to (cbrt (* (* (+ -1 (cos eps)) (+ -1 (cos eps))) (* (- (sin eps)) (sin eps)))) * [misc]simplify: Simplified (2 2 2 1) to (λ (x eps) (+ (* (sin eps) (cos x)) (* (sin x) (/ (cbrt (* (* (+ -1 (cos eps)) (+ -1 (cos eps))) (* (- (sin eps)) (sin eps)))) (cbrt (+ (cos eps) 1)))))) * * * * [misc]progress: [ 66 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (* (- (pow (cos eps) 3) (pow 1 3)) (- (cos eps) 1)) (- (cos eps) 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (221 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- (cos eps) 1) (- (cos eps) 1)) (- (pow (cos eps) 3) 1))) * [misc]simplify: Simplified (2 2 2 1) to (λ (x eps) (+ (* (sin eps) (cos x)) (* (sin x) (/ (cbrt (* (* (- (cos eps) 1) (- (cos eps) 1)) (- (pow (cos eps) 3) 1))) (cbrt (+ (* (cos eps) (cos eps)) (+ (* 1 1) (* (cos eps) 1)))))))) * * * * [misc]progress: [ 67 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (* (- (* (cos eps) (cos eps)) (* 1 1)) (- (cos eps) 1)) (- (cos eps) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (181 enodes) * [exit]simplify: Simplified to (cbrt (* (- (* (sin eps) (sin eps))) (* (+ -1 (cos eps)) (+ -1 (cos eps))))) * [misc]simplify: Simplified (2 2 2 1) to (λ (x eps) (+ (* (sin eps) (cos x)) (* (sin x) (/ (cbrt (* (- (* (sin eps) (sin eps))) (* (+ -1 (cos eps)) (+ -1 (cos eps))))) (cbrt (+ (cos eps) 1)))))) * * * * [misc]progress: [ 68 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (cos eps) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cos eps) * [misc]simplify: Simplified (2 2 2 1) to (λ (x eps) (+ (* (sin eps) (cos x)) (* (sin x) (- (cos eps) 1)))) * * * * [misc]progress: [ 71 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/24 (pow eps 4)) (+ (* 1/2 (pow eps 2)) (* 1/720 (pow eps 6)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (+ (* (pow eps 4) 1/24) (+ (* -1/720 (pow eps 6)) (* -1/2 (* eps eps)))) * [misc]simplify: Simplified (2 2 2 1 2) to (λ (x eps) (+ (* (sin eps) (cos x)) (* (sin x) (cbrt (* (* (- (cos eps) 1) (- (cos eps) 1)) (+ (* (pow eps 4) 1/24) (+ (* -1/720 (pow eps 6)) (* -1/2 (* eps eps))))))))) * * * * [misc]progress: [ 74 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (- (cos eps) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (10 enodes) * [exit]simplify: Simplified to (- (cos eps) 1) * [misc]simplify: Simplified (2 2 2 1 2) to (λ (x eps) (+ (* (sin eps) (cos x)) (* (sin x) (cbrt (* (* (- (cos eps) 1) (- (cos eps) 1)) (- (cos eps) 1)))))) * * * * [misc]progress: [ 75 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (- (cos eps) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (10 enodes) * [exit]simplify: Simplified to (- (cos eps) 1) * [misc]simplify: Simplified (2 2 2 1 2) to (λ (x eps) (+ (* (sin eps) (cos x)) (* (sin x) (cbrt (* (* (- (cos eps) 1) (- (cos eps) 1)) (- (cos eps) 1)))))) * * * * [misc]progress: [ 76 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/24 (pow eps 4)) (+ (* 1/2 (pow eps 2)) (* 1/720 (pow eps 6)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (+ (* (pow eps 4) 1/24) (+ (* -1/720 (pow eps 6)) (* -1/2 (* eps eps)))) * [misc]simplify: Simplified (2 2 2 1 1 2) to (λ (x eps) (+ (* (sin eps) (cos x)) (* (sin x) (cbrt (* (* (- (cos eps) 1) (+ (* (pow eps 4) 1/24) (+ (* -1/720 (pow eps 6)) (* -1/2 (* eps eps))))) (- (cos eps) 1)))))) * * * * [misc]progress: [ 77 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (- (cos eps) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (10 enodes) * [exit]simplify: Simplified to (- (cos eps) 1) * [misc]simplify: Simplified (2 2 2 1 1 2) to (λ (x eps) (+ (* (sin eps) (cos x)) (* (sin x) (cbrt (* (* (- (cos eps) 1) (- (cos eps) 1)) (- (cos eps) 1)))))) * * * * [misc]progress: [ 78 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (- (cos eps) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (10 enodes) * [exit]simplify: Simplified to (- (cos eps) 1) * [misc]simplify: Simplified (2 2 2 1 1 2) to (λ (x eps) (+ (* (sin eps) (cos x)) (* (sin x) (cbrt (* (* (- (cos eps) 1) (- (cos eps) 1)) (- (cos eps) 1)))))) * * * * [misc]progress: [ 79 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/24 (pow eps 4)) (+ (* 1/2 (pow eps 2)) (* 1/720 (pow eps 6)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (+ (* (pow eps 4) 1/24) (+ (* -1/720 (pow eps 6)) (* -1/2 (* eps eps)))) * [misc]simplify: Simplified (2 2 2 1 1 1) to (λ (x eps) (+ (* (sin eps) (cos x)) (* (sin x) (cbrt (* (* (+ (* (pow eps 4) 1/24) (+ (* -1/720 (pow eps 6)) (* -1/2 (* eps eps)))) (- (cos eps) 1)) (- (cos eps) 1)))))) * * * * [misc]progress: [ 80 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (- (cos eps) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (10 enodes) * [exit]simplify: Simplified to (- (cos eps) 1) * [misc]simplify: Simplified (2 2 2 1 1 1) to (λ (x eps) (+ (* (sin eps) (cos x)) (* (sin x) (cbrt (* (* (- (cos eps) 1) (- (cos eps) 1)) (- (cos eps) 1)))))) * * * * [misc]progress: [ 81 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (- (cos eps) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (10 enodes) * [exit]simplify: Simplified to (- (cos eps) 1) * [misc]simplify: Simplified (2 2 2 1 1 1) to (λ (x eps) (+ (* (sin eps) (cos x)) (* (sin x) (cbrt (* (* (- (cos eps) 1) (- (cos eps) 1)) (- (cos eps) 1)))))) * * * * [misc]progress: [ 82 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (exp (* 1/3 (+ (log -1/8) (* 6 (log eps))))) (* 1/360 (* (exp (* 1/3 (+ (log -1/8) (* 6 (log eps))))) (pow eps 4)))) (* 1/12 (* (exp (* 1/3 (+ (log -1/8) (* 6 (log eps))))) (pow eps 2)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (205 enodes) * * [misc]simplify: iters left: 2 (457 enodes) * [exit]simplify: Simplified to (+ (* (* eps eps) (cbrt -1/8)) (* (+ (* (* eps eps) -1/12) (* (pow eps 4) 1/360)) (* (* eps eps) (cbrt -1/8)))) * [misc]simplify: Simplified (2 2 2) to (λ (x eps) (+ (* (sin eps) (cos x)) (* (sin x) (+ (* (* eps eps) (cbrt -1/8)) (* (+ (* (* eps eps) -1/12) (* (pow eps 4) 1/360)) (* (* eps eps) (cbrt -1/8))))))) * * * * [misc]progress: [ 83 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (pow (- (cos eps) 1) 3) 1/3) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (181 enodes) * [exit]simplify: Simplified to (- (cos eps) 1) * [misc]simplify: Simplified (2 2 2) to (λ (x eps) (+ (* (sin eps) (cos x)) (* (sin x) (- (cos eps) 1)))) * * * * [misc]progress: [ 84 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (pow (- (cos eps) 1) 3) 1/3) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (181 enodes) * [exit]simplify: Simplified to (- (cos eps) 1) * [misc]simplify: Simplified (2 2 2) to (λ (x eps) (+ (* (sin eps) (cos x)) (* (sin x) (- (cos eps) 1)))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime: Finding splitpoints for: (# # # # # # # # # # # #) * * * [misc]regime-changes: Trying 2 branch expressions: (eps x) * * * * [misc]regimes: Trying to branch on eps from (# # # # # # # # # # # #) * * * * [misc]regimes: Trying to branch on x from (# # # # # # # # # # # #) * * * [misc]regime: Found split indices: #