* [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: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [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: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Setting MPFR precision to 1856 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 1600 * * * * [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 (- (cos (+ x eps)) (cos 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 x)) (cos 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 (- (cos (+ x eps)) (cos x)) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (- (cos (+ x eps)) (cos x)) in eps * [misc]taylor: Taking taylor expansion of (cos (+ x eps)) in eps * [misc]taylor: Taking taylor expansion of (+ x eps) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [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 (+ x 0) 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 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 (+ x eps)) (cos x)) in x * [misc]taylor: Taking taylor expansion of (cos (+ x eps)) in x * [misc]taylor: Taking taylor expansion of (+ x eps) 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 eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (+ 0 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 (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 (+ x eps)) (cos x)) in x * [misc]taylor: Taking taylor expansion of (cos (+ x eps)) in x * [misc]taylor: Taking taylor expansion of (+ x eps) 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 eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (+ 0 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 (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 (* (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]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 (+ (* (cos eps) 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 (+ (* (sin eps) 1) (* 0 0)) into (sin eps) * [misc]backup-simplify: Simplify (- (sin eps)) into (- (sin eps)) * [misc]backup-simplify: Simplify (+ 0 (- (sin eps))) into (- (sin eps)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (sin eps)) 0) into (- (sin eps)) * [misc]taylor: Taking taylor expansion of (- (sin eps)) 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]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 (+ (* (cos eps) (- 1/2)) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (cos eps))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin eps) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/2 (cos eps))) 0) into (- (* 1/2 (cos eps))) * [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 (cos eps))) 1/2) into (- 1/2 (* 1/2 (cos eps))) * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (cos eps))) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* 1/2 (cos eps)) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 1/2 -1/2) 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 into -1 * [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 (+ (* (cos eps) 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 (+ (* (sin eps) (- 1/6)) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into (- (* 1/6 (sin eps))) * [misc]backup-simplify: Simplify (- (- (* 1/6 (sin eps)))) into (* 1/6 (sin eps)) * [misc]backup-simplify: Simplify (+ 0 (* 1/6 (sin eps))) into (* 1/6 (sin eps)) * [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 (+ (* 1/6 (sin eps)) 0) into (* 1/6 (sin eps)) * [misc]taylor: Taking taylor expansion of (* 1/6 (sin eps)) in eps * [misc]taylor: Taking taylor expansion of 1/6 in eps * [misc]backup-simplify: Simplify 1/6 into 1/6 * [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]backup-simplify: Simplify (* 1/6 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) 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))) 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 (- 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 (+ (* (cos eps) 1/24) (+ (* 0 0) (+ (* 0 (- 1/2)) (+ (* 0 0) (* 0 1))))) into (* 1/24 (cos eps)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin eps) 0) (+ (* 0 (- 1/6)) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/24 (cos eps)) 0) into (* 1/24 (cos eps)) * [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 (- 1/24) into -1/24 * [misc]backup-simplify: Simplify (+ (* 1/24 (cos eps)) -1/24) into (- (* 1/24 (cos eps)) 1/24) * [misc]taylor: Taking taylor expansion of (- (* 1/24 (cos eps)) 1/24) in eps * [misc]taylor: Taking taylor expansion of (* 1/24 (cos eps)) in eps * [misc]taylor: Taking taylor expansion of 1/24 in eps * [misc]backup-simplify: Simplify 1/24 into 1/24 * [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 1/24 in eps * [misc]backup-simplify: Simplify 1/24 into 1/24 * [misc]backup-simplify: Simplify (* 1/24 1) into 1/24 * [misc]backup-simplify: Simplify (- 1/24) into -1/24 * [misc]backup-simplify: Simplify (+ 1/24 -1/24) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 1/6 1) (* 0 0)) into 1/6 * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]backup-simplify: Simplify (+ (* 1/6 (* eps (pow x 3))) (+ (* -1/2 (pow (* eps 1) 2)) (* -1 (* eps x)))) into (- (* 1/6 (* (pow x 3) eps)) (+ (* 1/2 (pow eps 2)) (* x eps))) * [misc]approximate: Taking taylor expansion of (- (cos (+ (/ 1 x) (/ 1 eps))) (cos (/ 1 x))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (- (cos (+ (/ 1 x) (/ 1 eps))) (cos (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 x) (/ 1 eps))) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 1 eps)) 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]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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (cos (+ (/ 1 x) (/ 1 eps))) into (cos (+ (/ 1 eps) (/ 1 x))) * [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 x) (/ 1 eps))) (cos (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 x) (/ 1 eps))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 1 eps)) 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]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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (cos (+ (/ 1 x) (/ 1 eps))) into (cos (+ (/ 1 eps) (/ 1 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 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 x) (/ 1 eps))) (cos (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 x) (/ 1 eps))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 1 eps)) 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]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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (cos (+ (/ 1 x) (/ 1 eps))) into (cos (+ (/ 1 eps) (/ 1 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 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 (- (cos (/ 1 x))) into (- (cos (/ 1 x))) * [misc]backup-simplify: Simplify (+ (cos (+ (/ 1 eps) (/ 1 x))) (- (cos (/ 1 x)))) into (- (cos (+ (/ 1 eps) (/ 1 x))) (cos (/ 1 x))) * [misc]taylor: Taking taylor expansion of (- (cos (+ (/ 1 eps) (/ 1 x))) (cos (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (cos (+ (/ 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 (cos (+ (/ 1 eps) (/ 1 x))) into (cos (+ (/ 1 eps) (/ 1 x))) * [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 (- (cos (/ 1 x))) into (- (cos (/ 1 x))) * [misc]backup-simplify: Simplify (+ (cos (+ (/ 1 eps) (/ 1 x))) (- (cos (/ 1 x)))) into (- (cos (+ (/ 1 eps) (/ 1 x))) (cos (/ 1 x))) * [misc]backup-simplify: Simplify (- (cos (+ (/ 1 eps) (/ 1 x))) (cos (/ 1 x))) into (- (cos (+ (/ 1 eps) (/ 1 x))) (cos (/ 1 x))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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 (/ 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 (- 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]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 (+ (* (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 (- 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]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 (/ 1 x)))) (cos (/ 1 (/ 1 x)))) into (- (cos (+ x eps)) (cos x)) * [misc]approximate: Taking taylor expansion of (- (cos (+ (/ 1 (- x)) (/ 1 (- eps)))) (cos (/ 1 (- x)))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (- (cos (+ (/ 1 (- x)) (/ 1 (- eps)))) (cos (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 (- x)) (/ 1 (- eps)))) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 1 (- eps))) 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]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 (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (cos (+ (/ 1 (- x)) (/ 1 (- eps)))) into (cos (- (+ (/ 1 eps) (/ 1 x)))) * [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 (- x)) (/ 1 (- eps)))) (cos (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 (- x)) (/ 1 (- eps)))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 1 (- eps))) 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]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 (+ -1 0) into -1 * [misc]backup-simplify: Simplify (cos (+ (/ 1 (- x)) (/ 1 (- eps)))) into (cos (- (+ (/ 1 eps) (/ 1 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 (- 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 (- x)) (/ 1 (- eps)))) (cos (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 (- x)) (/ 1 (- eps)))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 1 (- eps))) 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]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 (+ -1 0) into -1 * [misc]backup-simplify: Simplify (cos (+ (/ 1 (- x)) (/ 1 (- eps)))) into (cos (- (+ (/ 1 eps) (/ 1 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 (- 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]backup-simplify: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) * [misc]backup-simplify: Simplify (+ (cos (- (+ (/ 1 eps) (/ 1 x)))) (- (cos (/ -1 x)))) into (- (cos (- (+ (/ 1 eps) (/ 1 x)))) (cos (/ -1 x))) * [misc]taylor: Taking taylor expansion of (- (cos (- (+ (/ 1 eps) (/ 1 x)))) (cos (/ -1 x))) in eps * [misc]taylor: Taking taylor expansion of (cos (- (+ (/ 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) (/ 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 (- 1) into -1 * [misc]backup-simplify: Simplify (cos (- (+ (/ 1 eps) (/ 1 x)))) into (cos (- (+ (/ 1 eps) (/ 1 x)))) * [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 -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 (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 (- (cos (/ -1 x))) into (- (cos (/ -1 x))) * [misc]backup-simplify: Simplify (+ (cos (- (+ (/ 1 eps) (/ 1 x)))) (- (cos (/ -1 x)))) into (- (cos (- (+ (/ 1 eps) (/ 1 x)))) (cos (/ -1 x))) * [misc]backup-simplify: Simplify (- (cos (- (+ (/ 1 eps) (/ 1 x)))) (cos (/ -1 x))) into (- (cos (- (+ (/ 1 eps) (/ 1 x)))) (cos (/ -1 x))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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 (/ -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 (+ (* (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 (- 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]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 (+ (* (cos (/ -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 (+ (* (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 (- 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]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 (/ 1 (- x)))))) (cos (/ -1 (/ 1 (- x))))) into (- (cos (+ x eps)) (cos x)) * * * * [misc]progress: [ 2 / 2 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (cos (+ x eps)) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (cos (+ x eps)) in eps * [misc]taylor: Taking taylor expansion of (+ x eps) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [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 (+ x 0) 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 (+ x eps)) in x * [misc]taylor: Taking taylor expansion of (+ x eps) 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 eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (+ 0 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 (cos (+ x eps)) in x * [misc]taylor: Taking taylor expansion of (+ x eps) 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 eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (+ 0 eps) into eps * [misc]backup-simplify: Simplify (cos eps) into (cos eps) * [misc]backup-simplify: Simplify (sin eps) into (sin eps) * [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]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]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos eps) 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 (+ (* (sin eps) 1) (* 0 0)) into (sin eps) * [misc]backup-simplify: Simplify (- (sin eps)) into (- (sin eps)) * [misc]backup-simplify: Simplify (+ 0 (- (sin eps))) into (- (sin eps)) * [misc]taylor: Taking taylor expansion of (- (sin eps)) 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]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (* (cos eps) (- 1/2)) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (cos eps))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin eps) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/2 (cos eps))) 0) into (- (* 1/2 (cos eps))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (cos eps))) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 (cos eps)) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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]backup-simplify: Simplify (* 1/2 1) 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 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (* -1 (* eps x)) (+ (* -1/2 (pow (* 1 x) 2)) 1)) into (- 1 (+ (* x eps) (* 1/2 (pow x 2)))) * [misc]approximate: Taking taylor expansion of (cos (+ (/ 1 x) (/ 1 eps))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 x) (/ 1 eps))) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 1 eps)) 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]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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (cos (+ (/ 1 x) (/ 1 eps))) into (cos (+ (/ 1 eps) (/ 1 x))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 x) (/ 1 eps))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 1 eps)) 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]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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (cos (+ (/ 1 x) (/ 1 eps))) into (cos (+ (/ 1 eps) (/ 1 x))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 x) (/ 1 eps))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 1 eps)) 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]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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (cos (+ (/ 1 x) (/ 1 eps))) into (cos (+ (/ 1 eps) (/ 1 x))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ 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 (cos (+ (/ 1 eps) (/ 1 x))) into (cos (+ (/ 1 eps) (/ 1 x))) * [misc]backup-simplify: Simplify (cos (+ (/ 1 eps) (/ 1 x))) into (cos (+ (/ 1 eps) (/ 1 x))) * [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]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]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 (/ 1 x)))) into (cos (+ x eps)) * [misc]approximate: Taking taylor expansion of (cos (+ (/ 1 (- x)) (/ 1 (- eps)))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 (- x)) (/ 1 (- eps)))) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 1 (- eps))) 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]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 (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (cos (+ (/ 1 (- x)) (/ 1 (- eps)))) into (cos (- (+ (/ 1 eps) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 (- x)) (/ 1 (- eps)))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 1 (- eps))) 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]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 (+ -1 0) into -1 * [misc]backup-simplify: Simplify (cos (+ (/ 1 (- x)) (/ 1 (- eps)))) into (cos (- (+ (/ 1 eps) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 (- x)) (/ 1 (- eps)))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 1 (- eps))) 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]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 (+ -1 0) into -1 * [misc]backup-simplify: Simplify (cos (+ (/ 1 (- x)) (/ 1 (- eps)))) into (cos (- (+ (/ 1 eps) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (cos (- (+ (/ 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) (/ 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 (- 1) into -1 * [misc]backup-simplify: Simplify (cos (- (+ (/ 1 eps) (/ 1 x)))) into (cos (- (+ (/ 1 eps) (/ 1 x)))) * [misc]backup-simplify: Simplify (cos (- (+ (/ 1 eps) (/ 1 x)))) into (cos (- (+ (/ 1 eps) (/ 1 x)))) * [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]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]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 (/ 1 (- x)))))) into (cos (+ x eps)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (/ (- (+ x eps) x) 2)) (sin (/ (+ (+ x eps) x) 2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (* (sin (/ (+ (+ x x) eps) 2)) (sin (/ eps 2))) * [exit]simplify: Simplified to (* (sin (/ (+ (+ x x) eps) 2)) (sin (/ eps 2))) * * * * [misc]progress: [ 2 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (cos (+ x eps))) (exp (cos 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 (- (cos (+ eps x)) (cos x))) * [exit]simplify: Simplified to (exp (- (cos (+ eps x)) (cos x))) * * * * [misc]progress: [ 3 / 30 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (cos (+ x eps)) (cos x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (log (- (cos (+ eps x)) (cos x))) * [exit]simplify: Simplified to (log (- (cos (+ eps x)) (cos x))) * * * * [misc]progress: [ 5 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (cos (+ x eps)) (cos x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (exp (- (cos (+ eps x)) (cos x))) * [exit]simplify: Simplified to (exp (- (cos (+ eps x)) (cos x))) * * * * [misc]progress: [ 6 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (cos (+ x eps)) (cos x))) (cbrt (- (cos (+ x eps)) (cos 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 (* (cbrt (- (cos (+ eps x)) (cos x))) (cbrt (- (cos (+ eps x)) (cos x)))) * [exit]simplify: Simplified to (* (cbrt (- (cos (+ eps x)) (cos x))) (cbrt (- (cos (+ eps x)) (cos x)))) * [enter]simplify: Simplifying (cbrt (- (cos (+ x eps)) (cos x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (cbrt (- (cos (+ eps x)) (cos x))) * [exit]simplify: Simplified to (cbrt (- (cos (+ eps x)) (cos x))) * * * * [misc]progress: [ 7 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (cos (+ x eps)) (cos x)) (- (cos (+ x eps)) (cos x))) (- (cos (+ x eps)) (cos x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (275 enodes) * [exit]simplify: Simplified to (pow (- (cos (+ eps x)) (cos x)) 3) * [exit]simplify: Simplified to (pow (- (cos (+ eps x)) (cos x)) 3) * * * * [misc]progress: [ 8 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (cos (+ x eps)) (cos x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (sqrt (- (cos (+ eps x)) (cos x))) * [exit]simplify: Simplified to (sqrt (- (cos (+ eps x)) (cos x))) * [enter]simplify: Simplifying (sqrt (- (cos (+ x eps)) (cos x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (sqrt (- (cos (+ eps x)) (cos x))) * [exit]simplify: Simplified to (sqrt (- (cos (+ eps x)) (cos x))) * * * * [misc]progress: [ 9 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (cos (+ x eps)) 3) (pow (cos x) 3)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (+ (* (* (cos x) (cos x)) (- (cos x))) (pow (cos (+ eps x)) 3)) * [exit]simplify: Simplified to (+ (* (* (cos x) (cos x)) (- (cos x))) (pow (cos (+ eps x)) 3)) * [enter]simplify: Simplifying (+ (* (cos (+ x eps)) (cos (+ x eps))) (+ (* (cos x) (cos x)) (* (cos (+ x eps)) (cos x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (+ (* (+ (cos (+ eps x)) (cos x)) (cos (+ eps x))) (* (cos x) (cos x))) * [exit]simplify: Simplified to (+ (* (+ (cos (+ eps x)) (cos x)) (cos (+ eps x))) (* (cos x) (cos x))) * * * * [misc]progress: [ 10 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (- (cos x)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (cos x)) * [exit]simplify: Simplified to (- (cos x)) * * * * [misc]progress: [ 11 / 30 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (cos (+ x eps)) (cos (+ x eps))) (* (cos x) (cos x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * [exit]simplify: Simplified to (* (- (cos (+ eps x)) (cos x)) (+ (cos (+ eps x)) (cos x))) * [exit]simplify: Simplified to (* (- (cos (+ eps x)) (cos x)) (+ (cos (+ eps x)) (cos x))) * [enter]simplify: Simplifying (+ (cos (+ x eps)) (cos x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (+ (cos (+ eps x)) (cos x)) * [exit]simplify: Simplified to (+ (cos (+ eps x)) (cos x)) * * * * [misc]progress: [ 13 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (cos (+ x eps))) (sqrt (cos x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (+ (sqrt (cos x)) (sqrt (cos (+ eps x)))) * [exit]simplify: Simplified to (+ (sqrt (cos x)) (sqrt (cos (+ eps x)))) * [enter]simplify: Simplifying (- (sqrt (cos (+ x eps))) (sqrt (cos 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 (cos (+ eps x))) (sqrt (cos x))) * [exit]simplify: Simplified to (- (sqrt (cos (+ eps x))) (sqrt (cos x))) * * * * [misc]progress: [ 14 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (- (cos (+ x eps)) (cos 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 x)) (cos x)) * [exit]simplify: Simplified to (- (cos (+ eps x)) (cos x)) * * * * [misc]progress: [ 15 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (sin x) (sin eps)) (cos x)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (+ (cos x) (* (sin eps) (sin x))) * [exit]simplify: Simplified to (+ (cos x) (* (sin eps) (sin x))) * * * * [misc]progress: [ 16 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (- (cos x)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (cos x)) * [exit]simplify: Simplified to (- (cos x)) * * * * [misc]progress: [ 17 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos x) (cos eps)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (* (cos eps) (cos x)) * [exit]simplify: Simplified to (* (cos eps) (cos x)) * [enter]simplify: Simplifying (* (sin x) (sin eps)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (* (sin eps) (sin x)) * [exit]simplify: Simplified to (* (sin eps) (sin x)) * * * * [misc]progress: [ 18 / 30 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cos (+ x eps))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (log (cos (+ eps x))) * [exit]simplify: Simplified to (log (cos (+ eps x))) * * * * [misc]progress: [ 20 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cos (+ x eps))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (exp (cos (+ eps x))) * [exit]simplify: Simplified to (exp (cos (+ eps x))) * * * * [misc]progress: [ 21 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cos (+ x eps))) (cbrt (cos (+ x eps)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (cos (+ eps x))) (cbrt (cos (+ eps x)))) * [exit]simplify: Simplified to (* (cbrt (cos (+ eps x))) (cbrt (cos (+ eps x)))) * [enter]simplify: Simplifying (cbrt (cos (+ x eps))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (cos (+ eps x))) * [exit]simplify: Simplified to (cbrt (cos (+ eps x))) * * * * [misc]progress: [ 22 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cos (+ x eps)) (cos (+ x eps))) (cos (+ x eps))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (pow (cos (+ eps x)) 3) * [exit]simplify: Simplified to (pow (cos (+ eps x)) 3) * * * * [misc]progress: [ 23 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cos (+ x eps))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (cos (+ eps x))) * [exit]simplify: Simplified to (sqrt (cos (+ eps x))) * [enter]simplify: Simplifying (sqrt (cos (+ x eps))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (cos (+ eps x))) * [exit]simplify: Simplified to (sqrt (cos (+ eps x))) * * * * [misc]progress: [ 24 / 30 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/6 (* (pow x 3) eps)) (+ (* 1/2 (pow eps 2)) (* x eps))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (233 enodes) * * [misc]simplify: iters left: 1 (335 enodes) * [exit]simplify: Simplified to (* (- (* (* 1/6 x) (* x x)) (+ (* 1/2 eps) x)) eps) * * * * [misc]progress: [ 26 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (- (cos (+ x eps)) (cos 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 x)) (cos x)) * * * * [misc]progress: [ 27 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (- (cos (+ x eps)) (cos 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 x)) (cos x)) * * * * [misc]progress: [ 28 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- 1 (+ (* x eps) (* 1/2 (pow x 2)))) (cos x)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (286 enodes) * [exit]simplify: Simplified to (- (- 1 (cos x)) (* (+ (* x 1/2) eps) x)) * * * * [misc]progress: [ 29 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (- (cos (+ x eps)) (cos 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 x)) (cos x)) * * * * [misc]progress: [ 30 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (- (cos (+ x eps)) (cos 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 x)) (cos 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 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (sin (/ (+ (+ x x) eps) 2)) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (sin (/ (+ (+ x x) eps) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (+ x x) eps) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (+ x x) eps) in eps * [misc]taylor: Taking taylor expansion of (+ x x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [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 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ x x) into (* 2 x) * [misc]backup-simplify: Simplify (+ (* 2 x) 0) into (* 2 x) * [misc]backup-simplify: Simplify (/ (* 2 x) 2) 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 x) eps) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (+ x x) eps) 2) in x * [misc]taylor: Taking taylor expansion of (+ (+ x x) eps) in x * [misc]taylor: Taking taylor expansion of (+ x 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 x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 eps) into eps * [misc]backup-simplify: Simplify (/ eps 2) into (* 1/2 eps) * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ (+ (+ x x) eps) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (+ x x) eps) 2) in x * [misc]taylor: Taking taylor expansion of (+ (+ x x) eps) in x * [misc]taylor: Taking taylor expansion of (+ x 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 x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 eps) into eps * [misc]backup-simplify: Simplify (/ eps 2) into (* 1/2 eps) * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 eps)) 1) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (* 1/2 eps)) 0) into (sin (* 1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (- (/ 2 2) (+ (* (* 1/2 eps) (/ 0 2)))) into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 eps)) 1) (* 0 0)) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (+ 0 (cos (* 1/2 eps))) into (cos (* 1/2 eps)) * [misc]taylor: Taking taylor expansion of (cos (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 eps)) (- 1/2)) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (sin (* 1/2 eps)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 eps) (/ 0 2)) (* 1 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 eps)) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/2 (sin (* 1/2 eps)))) 0) into (- (* 1/2 (sin (* 1/2 eps)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (sin (* 1/2 eps)))) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 (sin (* 1/2 eps))) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sin (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [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 (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 eps)) 0) (+ (* 0 (- 1/2)) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 eps) (/ 0 2)) (* 1 (/ 0 2)) (* 0 (/ 0 2)))) 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 (* 1/2 eps)) (- 1/6)) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into (- (* 1/6 (cos (* 1/2 eps)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/6 (cos (* 1/2 eps))))) into (- (* 1/6 (cos (* 1/2 eps)))) * [misc]taylor: Taking taylor expansion of (- (* 1/6 (cos (* 1/2 eps)))) in eps * [misc]taylor: Taking taylor expansion of (* 1/6 (cos (* 1/2 eps))) in eps * [misc]taylor: Taking taylor expansion of 1/6 in eps * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [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 x) 3)) (+ (* 1/2 (* eps 1)) (* 1 (* 1 x)))) into (- (+ x (* 1/2 eps)) (* 1/6 (pow x 3))) * [misc]approximate: Taking taylor expansion of (sin (/ (+ (+ (/ 1 x) (/ 1 x)) (/ 1 eps)) 2)) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (sin (/ (+ (+ (/ 1 x) (/ 1 x)) (/ 1 eps)) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (+ (/ 1 x) (/ 1 x)) (/ 1 eps)) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 x) (/ 1 x)) (/ 1 eps)) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 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]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]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 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (+ (+ (/ 1 x) (/ 1 x)) (/ 1 eps)) 2)) into (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (sin (/ (+ (+ (/ 1 x) (/ 1 x)) (/ 1 eps)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (+ (/ 1 x) (/ 1 x)) (/ 1 eps)) 2) in x * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 x) (/ 1 x)) (/ 1 eps)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 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]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]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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (/ 2 2) into 1 * [misc]backup-simplify: Simplify (sin (/ (+ (+ (/ 1 x) (/ 1 x)) (/ 1 eps)) 2)) into (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (sin (/ (+ (+ (/ 1 x) (/ 1 x)) (/ 1 eps)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (+ (/ 1 x) (/ 1 x)) (/ 1 eps)) 2) in x * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 x) (/ 1 x)) (/ 1 eps)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 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]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]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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (/ 2 2) into 1 * [misc]backup-simplify: Simplify (sin (/ (+ (+ (/ 1 x) (/ 1 x)) (/ 1 eps)) 2)) into (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 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 (* 2 (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [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 (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [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]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]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 (sin (* 1/2 (+ (/ 1 (/ 1 eps)) (* 2 (/ 1 (/ 1 x)))))) into (sin (* 1/2 (+ (* 2 x) eps))) * [misc]approximate: Taking taylor expansion of (sin (/ (+ (+ (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- eps))) 2)) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (sin (/ (+ (+ (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- eps))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (+ (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- eps))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- eps))) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 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]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]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 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (+ (+ (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- eps))) 2)) into (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (sin (/ (+ (+ (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- eps))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (+ (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- eps))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- eps))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 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]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]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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 -1) into -2 * [misc]backup-simplify: Simplify (+ -2 0) into -2 * [misc]backup-simplify: Simplify (/ -2 2) into -1 * [misc]backup-simplify: Simplify (sin (/ (+ (+ (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- eps))) 2)) into (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (sin (/ (+ (+ (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- eps))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (+ (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- eps))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- eps))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 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]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]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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 -1) into -2 * [misc]backup-simplify: Simplify (+ -2 0) into -2 * [misc]backup-simplify: Simplify (/ -2 2) into -1 * [misc]backup-simplify: Simplify (sin (/ (+ (+ (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- eps))) 2)) into (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps * [misc]taylor: Taking taylor expansion of -1/2 in eps * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 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 (* 2 (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [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 (* -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [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]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]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 (sin (* -1/2 (+ (/ 1 (/ 1 (- eps))) (* 2 (/ 1 (/ 1 (- x))))))) into (sin (* 1/2 (+ (* 2 x) eps))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (* (sin (/ (+ (+ x x) eps) 2)) (sin (/ eps 2))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (/ (+ (+ x x) eps) 2)) (sin (/ eps 2))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ (+ (+ x x) eps) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (+ x x) eps) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (+ x x) eps) in eps * [misc]taylor: Taking taylor expansion of (+ x x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [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 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ x x) into (* 2 x) * [misc]backup-simplify: Simplify (+ (* 2 x) 0) into (* 2 x) * [misc]backup-simplify: Simplify (/ (* 2 x) 2) 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 2)) in eps * [misc]taylor: Taking taylor expansion of (/ eps 2) 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 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (* (sin (/ (+ (+ x x) eps) 2)) (sin (/ eps 2))) in x * [misc]taylor: Taking taylor expansion of (sin (/ (+ (+ x x) eps) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (+ x x) eps) 2) in x * [misc]taylor: Taking taylor expansion of (+ (+ x x) eps) in x * [misc]taylor: Taking taylor expansion of (+ x 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 x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 eps) into eps * [misc]backup-simplify: Simplify (/ eps 2) into (* 1/2 eps) * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ eps 2)) in x * [misc]taylor: Taking taylor expansion of (/ eps 2) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ eps 2) into (* 1/2 eps) * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]taylor: Taking taylor expansion of (* (sin (/ (+ (+ x x) eps) 2)) (sin (/ eps 2))) in x * [misc]taylor: Taking taylor expansion of (sin (/ (+ (+ x x) eps) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (+ x x) eps) 2) in x * [misc]taylor: Taking taylor expansion of (+ (+ x x) eps) in x * [misc]taylor: Taking taylor expansion of (+ x 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 x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 eps) into eps * [misc]backup-simplify: Simplify (/ eps 2) into (* 1/2 eps) * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ eps 2)) in x * [misc]taylor: Taking taylor expansion of (/ eps 2) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ eps 2) into (* 1/2 eps) * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 eps)) 1) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (* 1/2 eps)) 0) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 eps)) 1) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (* 1/2 eps)) 0) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 eps)) (sin (* 1/2 eps))) into (pow (sin (* 1/2 eps)) 2) * [misc]taylor: Taking taylor expansion of (pow (sin (* 1/2 eps)) 2) in eps * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (sin (* 1/2 eps))))) in eps * [misc]taylor: Taking taylor expansion of (* 2 (log (sin (* 1/2 eps)))) in eps * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (sin (* 1/2 eps))) in eps * [misc]taylor: Taking taylor expansion of (sin (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log eps)) (log 1/2)) into (+ (log 1/2) (log eps)) * [misc]backup-simplify: Simplify (* 2 (+ (log 1/2) (log eps))) into (* 2 (+ (log 1/2) (log eps))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log 1/2) (log eps)))) into (exp (* 2 (+ (log 1/2) (log eps)))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log 1/2) (log eps)))) into (exp (* 2 (+ (log 1/2) (log eps)))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 eps) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 eps)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (- (/ 2 2) (+ (* (* 1/2 eps) (/ 0 2)))) into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 eps)) 1) (* 0 0)) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (+ 0 (cos (* 1/2 eps))) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 eps)) 0) (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) into (* (cos (* 1/2 eps)) (sin (* 1/2 eps))) * [misc]taylor: Taking taylor expansion of (* (cos (* 1/2 eps)) (sin (* 1/2 eps))) in eps * [misc]taylor: Taking taylor expansion of (cos (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]taylor: Taking taylor expansion of (sin (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log eps)) (log 1/2)) into (+ (log 1/2) (log eps)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log 1/2) (log eps)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log 1/2) (log eps)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 eps)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 eps) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 eps)) 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 (+ (* (sin (* 1/2 eps)) (- 1/2)) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (sin (* 1/2 eps)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 eps) (/ 0 2)) (* 1 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 eps)) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/2 (sin (* 1/2 eps)))) 0) into (- (* 1/2 (sin (* 1/2 eps)))) * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 eps)) 0) (+ (* (cos (* 1/2 eps)) 0) (* (- (* 1/2 (sin (* 1/2 eps)))) (sin (* 1/2 eps))))) into (- (* 1/2 (pow (sin (* 1/2 eps)) 2))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (pow (sin (* 1/2 eps)) 2))) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 (pow (sin (* 1/2 eps)) 2)) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow (sin (* 1/2 eps)) 2) in eps * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (sin (* 1/2 eps))))) in eps * [misc]taylor: Taking taylor expansion of (* 2 (log (sin (* 1/2 eps)))) in eps * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (sin (* 1/2 eps))) in eps * [misc]taylor: Taking taylor expansion of (sin (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log eps)) (log 1/2)) into (+ (log 1/2) (log eps)) * [misc]backup-simplify: Simplify (* 2 (+ (log 1/2) (log eps))) into (* 2 (+ (log 1/2) (log eps))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log 1/2) (log eps)))) into (exp (* 2 (+ (log 1/2) (log eps)))) * [misc]backup-simplify: Simplify (* 1/2 (exp (* 2 (+ (log 1/2) (log eps))))) into (* 1/2 (exp (* 2 (+ (log 1/2) (log eps))))) * [misc]backup-simplify: Simplify (- (* 1/2 (exp (* 2 (+ (log 1/2) (log eps)))))) into (- (* 1/2 (exp (* 2 (+ (log 1/2) (log eps)))))) * [misc]backup-simplify: Simplify (- (* 1/2 (exp (* 2 (+ (log 1/2) (log eps)))))) into (- (* 1/2 (exp (* 2 (+ (log 1/2) (log eps)))))) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1/2) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 (* eps x)) (+ (* (- (* 1/2 (exp (* 2 (+ (log 1/2) (log eps)))))) (pow (* 1 x) 2)) (exp (* 2 (+ (log 1/2) (log eps)))))) into (- (+ (* 1/2 (* x eps)) (exp (* 2 (+ (log 1/2) (log eps))))) (* 1/2 (* (exp (* 2 (+ (log 1/2) (log eps)))) (pow x 2)))) * [misc]approximate: Taking taylor expansion of (* (sin (/ (+ (+ (/ 1 x) (/ 1 x)) (/ 1 eps)) 2)) (sin (/ (/ 1 eps) 2))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (/ (+ (+ (/ 1 x) (/ 1 x)) (/ 1 eps)) 2)) (sin (/ (/ 1 eps) 2))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ (+ (+ (/ 1 x) (/ 1 x)) (/ 1 eps)) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (+ (/ 1 x) (/ 1 x)) (/ 1 eps)) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 x) (/ 1 x)) (/ 1 eps)) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 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]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]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 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (+ (+ (/ 1 x) (/ 1 x)) (/ 1 eps)) 2)) into (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 eps) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (/ 1 eps) 2) 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 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 eps) 2)) into (sin (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (* (sin (/ (+ (+ (/ 1 x) (/ 1 x)) (/ 1 eps)) 2)) (sin (/ (/ 1 eps) 2))) in x * [misc]taylor: Taking taylor expansion of (sin (/ (+ (+ (/ 1 x) (/ 1 x)) (/ 1 eps)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (+ (/ 1 x) (/ 1 x)) (/ 1 eps)) 2) in x * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 x) (/ 1 x)) (/ 1 eps)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 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]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]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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (/ 2 2) into 1 * [misc]backup-simplify: Simplify (sin (/ (+ (+ (/ 1 x) (/ 1 x)) (/ 1 eps)) 2)) into (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 eps) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 eps) 2) 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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 eps) 2) into (/ 1/2 eps) * [misc]backup-simplify: Simplify (sin (/ 1/2 eps)) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ 1/2 eps)) into (cos (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (* (sin (/ (+ (+ (/ 1 x) (/ 1 x)) (/ 1 eps)) 2)) (sin (/ (/ 1 eps) 2))) in x * [misc]taylor: Taking taylor expansion of (sin (/ (+ (+ (/ 1 x) (/ 1 x)) (/ 1 eps)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (+ (/ 1 x) (/ 1 x)) (/ 1 eps)) 2) in x * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 x) (/ 1 x)) (/ 1 eps)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 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]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]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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (/ 2 2) into 1 * [misc]backup-simplify: Simplify (sin (/ (+ (+ (/ 1 x) (/ 1 x)) (/ 1 eps)) 2)) into (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 eps) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 eps) 2) 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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 eps) 2) into (/ 1/2 eps) * [misc]backup-simplify: Simplify (sin (/ 1/2 eps)) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ 1/2 eps)) into (cos (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 eps)) 1) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1/2 eps)) 0) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ 1/2 eps))) into (* (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ 1/2 eps))) * [misc]taylor: Taking taylor expansion of (* (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ 1/2 eps))) in eps * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 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 (* 2 (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [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 (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (sin (/ 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (/ 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (sin (/ 1/2 eps)) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ 1/2 eps))) into (* (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ 1/2 eps))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ 1/2 eps))) into (* (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ 1/2 eps))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 eps) (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 eps) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 eps)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 0) (* 0 (sin (/ 1/2 eps)))) 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 (+ (* (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 0) (* 0 (sin (/ 1/2 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 (/ 1/2 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 2) (+ (* (/ 1/2 eps) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 eps)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 0) (+ (* 0 0) (* 0 (sin (/ 1/2 eps))))) 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 (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 0) (+ (* 0 0) (* 0 (sin (/ 1/2 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 (/ 1/2 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 (- (/ 0 2) (+ (* (/ 1/2 eps) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 eps)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1/2 eps)))))) 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 (* (sin (* 1/2 (+ (/ 1 (/ 1 eps)) (* 2 (/ 1 (/ 1 x)))))) (sin (/ 1/2 (/ 1 eps)))) into (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 eps))) * [misc]approximate: Taking taylor expansion of (* (sin (/ (+ (+ (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- eps))) 2)) (sin (/ (/ 1 (- eps)) 2))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (/ (+ (+ (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- eps))) 2)) (sin (/ (/ 1 (- eps)) 2))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ (+ (+ (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- eps))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (+ (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- eps))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- eps))) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 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]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]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 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (+ (+ (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- eps))) 2)) into (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 (- eps)) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- eps)) 2) 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 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 (- eps)) 2)) into (sin (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (* (sin (/ (+ (+ (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- eps))) 2)) (sin (/ (/ 1 (- eps)) 2))) in x * [misc]taylor: Taking taylor expansion of (sin (/ (+ (+ (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- eps))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (+ (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- eps))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- eps))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 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]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]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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 -1) into -2 * [misc]backup-simplify: Simplify (+ -2 0) into -2 * [misc]backup-simplify: Simplify (/ -2 2) into -1 * [misc]backup-simplify: Simplify (sin (/ (+ (+ (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- eps))) 2)) into (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 (- eps)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- eps)) 2) 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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 eps) 2) into (/ -1/2 eps) * [misc]backup-simplify: Simplify (sin (/ -1/2 eps)) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ -1/2 eps)) into (cos (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (* (sin (/ (+ (+ (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- eps))) 2)) (sin (/ (/ 1 (- eps)) 2))) in x * [misc]taylor: Taking taylor expansion of (sin (/ (+ (+ (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- eps))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (+ (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- eps))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- eps))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 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]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]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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 -1) into -2 * [misc]backup-simplify: Simplify (+ -2 0) into -2 * [misc]backup-simplify: Simplify (/ -2 2) into -1 * [misc]backup-simplify: Simplify (sin (/ (+ (+ (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- eps))) 2)) into (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 (- eps)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- eps)) 2) 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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 eps) 2) into (/ -1/2 eps) * [misc]backup-simplify: Simplify (sin (/ -1/2 eps)) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ -1/2 eps)) into (cos (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 eps)) 1) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1/2 eps)) 0) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) into (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) * [misc]taylor: Taking taylor expansion of (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) in eps * [misc]taylor: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps * [misc]taylor: Taking taylor expansion of -1/2 in eps * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 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 (* 2 (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [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 (* -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (sin (/ -1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (/ -1/2 eps) in eps * [misc]taylor: Taking taylor expansion of -1/2 in eps * [misc]backup-simplify: Simplify -1/2 into -1/2 * [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 (/ -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (sin (/ -1/2 eps)) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) into (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) into (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 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 (- (/ 0 2) (+ (* (/ -1/2 eps) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 eps)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 0) (* 0 (sin (/ -1/2 eps)))) 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 (+ (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 0) (* 0 (sin (/ -1/2 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 (/ -1/2 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 2) (+ (* (/ -1/2 eps) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 eps)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 0) (+ (* 0 0) (* 0 (sin (/ -1/2 eps))))) 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 (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 0) (+ (* 0 0) (* 0 (sin (/ -1/2 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 (/ -1/2 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 (- (/ 0 2) (+ (* (/ -1/2 eps) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 eps)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1/2 eps)))))) 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 (* (sin (* -1/2 (+ (/ 1 (/ 1 (- eps))) (* 2 (/ 1 (/ 1 (- x))))))) (sin (/ -1/2 (/ 1 (- eps))))) into (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 eps))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1 1) * [misc]approximate: Taking taylor expansion of (/ (+ (+ x x) eps) 2) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (+ x x) eps) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (+ x x) eps) in eps * [misc]taylor: Taking taylor expansion of (+ x x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [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 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ x x) into (* 2 x) * [misc]backup-simplify: Simplify (+ (* 2 x) 0) into (* 2 x) * [misc]backup-simplify: Simplify (/ (* 2 x) 2) into x * [misc]taylor: Taking taylor expansion of (/ (+ (+ x x) eps) 2) in x * [misc]taylor: Taking taylor expansion of (+ (+ x x) eps) in x * [misc]taylor: Taking taylor expansion of (+ x 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 x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 eps) into eps * [misc]backup-simplify: Simplify (/ eps 2) into (* 1/2 eps) * [misc]taylor: Taking taylor expansion of (/ (+ (+ x x) eps) 2) in x * [misc]taylor: Taking taylor expansion of (+ (+ x x) eps) in x * [misc]taylor: Taking taylor expansion of (+ x 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 x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 eps) into eps * [misc]backup-simplify: Simplify (/ eps 2) into (* 1/2 eps) * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (* 1/2 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (- (/ 2 2) (+ (* (* 1/2 eps) (/ 0 2)))) 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 (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 eps) (/ 0 2)) (* 1 (/ 0 2)))) 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 (+ (* 1/2 0) (+ (* 0 1) (* 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]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 eps) (/ 0 2)) (* 1 (/ 0 2)) (* 0 (/ 0 2)))) 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 (+ (* 1/2 (* eps 1)) (* 1 (* 1 x))) into (+ x (* 1/2 eps)) * [misc]approximate: Taking taylor expansion of (/ (+ (+ (/ 1 x) (/ 1 x)) (/ 1 eps)) 2) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (+ (/ 1 x) (/ 1 x)) (/ 1 eps)) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 x) (/ 1 x)) (/ 1 eps)) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 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]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]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 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ (+ (+ (/ 1 x) (/ 1 x)) (/ 1 eps)) 2) in x * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 x) (/ 1 x)) (/ 1 eps)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 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]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]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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (/ 2 2) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ (+ (/ 1 x) (/ 1 x)) (/ 1 eps)) 2) in x * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 x) (/ 1 x)) (/ 1 eps)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 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]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]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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (/ 2 2) into 1 * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 eps)) into (/ 1 eps) * [misc]backup-simplify: Simplify (- (/ (/ 1 eps) 2) (+ (* 1 (/ 0 2)))) into (* 1/2 (/ 1 eps)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 eps)) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 eps) (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ 0 2)) (* (* 1/2 (/ 1 eps)) (/ 0 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 eps) (/ 0 eps)) (* 0 (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ 0 2)) (* (* 1/2 (/ 1 eps)) (/ 0 2)) (* 0 (/ 0 2)))) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 eps) (/ 0 eps)) (* 0 (/ 0 eps)) (* 0 (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ 0 2)) (* (* 1/2 (/ 1 eps)) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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 (+ (* 1 (* 1 (/ 1 (/ 1 x)))) (* 1/2 (* (/ 1 (/ 1 eps)) 1))) into (+ x (* 1/2 eps)) * [misc]approximate: Taking taylor expansion of (/ (+ (+ (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- eps))) 2) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (+ (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- eps))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- eps))) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 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]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]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 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ (+ (+ (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- eps))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- eps))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 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]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]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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 -1) into -2 * [misc]backup-simplify: Simplify (+ -2 0) into -2 * [misc]backup-simplify: Simplify (/ -2 2) into -1 * [misc]taylor: Taking taylor expansion of (/ (+ (+ (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- eps))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- eps))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 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]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]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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 -1) into -2 * [misc]backup-simplify: Simplify (+ -2 0) into -2 * [misc]backup-simplify: Simplify (/ -2 2) into -1 * [misc]taylor: Taking taylor expansion of -1 in eps * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 eps)) into (- (/ 1 eps)) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 eps)) 2) (+ (* -1 (/ 0 2)))) into (- (* 1/2 (/ 1 eps))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 eps))) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 eps)) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (* 1/2 1) 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 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* -1 (/ 0 2)) (* (- (* 1/2 (/ 1 eps))) (/ 0 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 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) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* -1 (/ 0 2)) (* (- (* 1/2 (/ 1 eps))) (/ 0 2)) (* 0 (/ 0 2)))) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* -1 (/ 0 2)) (* (- (* 1/2 (/ 1 eps))) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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 (+ (* -1 (* 1 (/ 1 (/ 1 (- x))))) (* -1/2 (* (/ 1 (/ 1 (- eps))) 1))) into (+ x (* 1/2 eps)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* -2 (* (sin (/ (+ (+ x x) eps) 2)) (sin (/ eps 2)))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (* -2 (* (sin (/ (+ (+ x x) eps) 2)) (sin (/ eps 2)))) in eps * [misc]taylor: Taking taylor expansion of -2 in eps * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* (sin (/ (+ (+ x x) eps) 2)) (sin (/ eps 2))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ (+ (+ x x) eps) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (+ x x) eps) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (+ x x) eps) in eps * [misc]taylor: Taking taylor expansion of (+ x x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [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 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ x x) into (* 2 x) * [misc]backup-simplify: Simplify (+ (* 2 x) 0) into (* 2 x) * [misc]backup-simplify: Simplify (/ (* 2 x) 2) 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 2)) in eps * [misc]taylor: Taking taylor expansion of (/ eps 2) 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 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (* -2 (* (sin (/ (+ (+ x x) eps) 2)) (sin (/ eps 2)))) in x * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* (sin (/ (+ (+ x x) eps) 2)) (sin (/ eps 2))) in x * [misc]taylor: Taking taylor expansion of (sin (/ (+ (+ x x) eps) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (+ x x) eps) 2) in x * [misc]taylor: Taking taylor expansion of (+ (+ x x) eps) in x * [misc]taylor: Taking taylor expansion of (+ x 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 x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 eps) into eps * [misc]backup-simplify: Simplify (/ eps 2) into (* 1/2 eps) * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ eps 2)) in x * [misc]taylor: Taking taylor expansion of (/ eps 2) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ eps 2) into (* 1/2 eps) * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]taylor: Taking taylor expansion of (* -2 (* (sin (/ (+ (+ x x) eps) 2)) (sin (/ eps 2)))) in x * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* (sin (/ (+ (+ x x) eps) 2)) (sin (/ eps 2))) in x * [misc]taylor: Taking taylor expansion of (sin (/ (+ (+ x x) eps) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (+ x x) eps) 2) in x * [misc]taylor: Taking taylor expansion of (+ (+ x x) eps) in x * [misc]taylor: Taking taylor expansion of (+ x 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 x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 eps) into eps * [misc]backup-simplify: Simplify (/ eps 2) into (* 1/2 eps) * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ eps 2)) in x * [misc]taylor: Taking taylor expansion of (/ eps 2) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ eps 2) into (* 1/2 eps) * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 eps)) 1) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (* 1/2 eps)) 0) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 eps)) 1) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (* 1/2 eps)) 0) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 eps)) (sin (* 1/2 eps))) into (pow (sin (* 1/2 eps)) 2) * [misc]backup-simplify: Simplify (* -2 (pow (sin (* 1/2 eps)) 2)) into (* -2 (pow (sin (* 1/2 eps)) 2)) * [misc]taylor: Taking taylor expansion of (* -2 (pow (sin (* 1/2 eps)) 2)) in eps * [misc]taylor: Taking taylor expansion of -2 in eps * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (pow (sin (* 1/2 eps)) 2) in eps * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (sin (* 1/2 eps))))) in eps * [misc]taylor: Taking taylor expansion of (* 2 (log (sin (* 1/2 eps)))) in eps * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (sin (* 1/2 eps))) in eps * [misc]taylor: Taking taylor expansion of (sin (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log eps)) (log 1/2)) into (+ (log 1/2) (log eps)) * [misc]backup-simplify: Simplify (* 2 (+ (log 1/2) (log eps))) into (* 2 (+ (log 1/2) (log eps))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log 1/2) (log eps)))) into (exp (* 2 (+ (log 1/2) (log eps)))) * [misc]backup-simplify: Simplify (* -2 (exp (* 2 (+ (log 1/2) (log eps))))) into (* -2 (exp (* 2 (+ (log 1/2) (log eps))))) * [misc]backup-simplify: Simplify (* -2 (exp (* 2 (+ (log 1/2) (log eps))))) into (* -2 (exp (* 2 (+ (log 1/2) (log eps))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 eps) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 eps)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (- (/ 2 2) (+ (* (* 1/2 eps) (/ 0 2)))) into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 eps)) 1) (* 0 0)) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (+ 0 (cos (* 1/2 eps))) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 eps)) 0) (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) into (* (cos (* 1/2 eps)) (sin (* 1/2 eps))) * [misc]backup-simplify: Simplify (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* 0 (pow (sin (* 1/2 eps)) 2))) into (- (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) * [misc]taylor: Taking taylor expansion of (- (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) in eps * [misc]taylor: Taking taylor expansion of (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) in eps * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (cos (* 1/2 eps)) (sin (* 1/2 eps))) in eps * [misc]taylor: Taking taylor expansion of (cos (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]taylor: Taking taylor expansion of (sin (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log eps)) (log 1/2)) into (+ (log 1/2) (log eps)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log 1/2) (log eps)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log 1/2) (log eps)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (exp (* 2 (+ (log 1/2) (log 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 (* 1/2 eps)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 eps) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 eps)) 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 (+ (* (sin (* 1/2 eps)) (- 1/2)) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (sin (* 1/2 eps)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 eps) (/ 0 2)) (* 1 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 eps)) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/2 (sin (* 1/2 eps)))) 0) into (- (* 1/2 (sin (* 1/2 eps)))) * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 eps)) 0) (+ (* (cos (* 1/2 eps)) 0) (* (- (* 1/2 (sin (* 1/2 eps)))) (sin (* 1/2 eps))))) into (- (* 1/2 (pow (sin (* 1/2 eps)) 2))) * [misc]backup-simplify: Simplify (+ (* -2 (- (* 1/2 (pow (sin (* 1/2 eps)) 2)))) (+ (* 0 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* 0 (pow (sin (* 1/2 eps)) 2)))) into (pow (sin (* 1/2 eps)) 2) * [misc]taylor: Taking taylor expansion of (pow (sin (* 1/2 eps)) 2) in eps * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (sin (* 1/2 eps))))) in eps * [misc]taylor: Taking taylor expansion of (* 2 (log (sin (* 1/2 eps)))) in eps * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (sin (* 1/2 eps))) in eps * [misc]taylor: Taking taylor expansion of (sin (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log eps)) (log 1/2)) into (+ (log 1/2) (log eps)) * [misc]backup-simplify: Simplify (* 2 (+ (log 1/2) (log eps))) into (* 2 (+ (log 1/2) (log eps))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log 1/2) (log eps)))) into (exp (* 2 (+ (log 1/2) (log eps)))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log 1/2) (log eps)))) into (exp (* 2 (+ (log 1/2) (log eps)))) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1/2) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (+ (* 2 1/2) (* 0 0)) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (* -1 (* eps x)) (+ (* (exp (* 2 (+ (log 1/2) (log eps)))) (pow (* 1 x) 2)) (* -2 (exp (* 2 (+ (log 1/2) (log eps))))))) into (- (* (exp (* 2 (+ (log 1/2) (log eps)))) (pow x 2)) (+ (* x eps) (* 2 (exp (* 2 (+ (log 1/2) (log eps))))))) * [misc]approximate: Taking taylor expansion of (* -2 (* (sin (/ (+ (+ (/ 1 x) (/ 1 x)) (/ 1 eps)) 2)) (sin (/ (/ 1 eps) 2)))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (* -2 (* (sin (/ (+ (+ (/ 1 x) (/ 1 x)) (/ 1 eps)) 2)) (sin (/ (/ 1 eps) 2)))) in eps * [misc]taylor: Taking taylor expansion of -2 in eps * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* (sin (/ (+ (+ (/ 1 x) (/ 1 x)) (/ 1 eps)) 2)) (sin (/ (/ 1 eps) 2))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ (+ (+ (/ 1 x) (/ 1 x)) (/ 1 eps)) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (+ (/ 1 x) (/ 1 x)) (/ 1 eps)) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 x) (/ 1 x)) (/ 1 eps)) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 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]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]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 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (+ (+ (/ 1 x) (/ 1 x)) (/ 1 eps)) 2)) into (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 eps) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (/ 1 eps) 2) 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 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 eps) 2)) into (sin (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (* -2 (* (sin (/ (+ (+ (/ 1 x) (/ 1 x)) (/ 1 eps)) 2)) (sin (/ (/ 1 eps) 2)))) in x * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* (sin (/ (+ (+ (/ 1 x) (/ 1 x)) (/ 1 eps)) 2)) (sin (/ (/ 1 eps) 2))) in x * [misc]taylor: Taking taylor expansion of (sin (/ (+ (+ (/ 1 x) (/ 1 x)) (/ 1 eps)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (+ (/ 1 x) (/ 1 x)) (/ 1 eps)) 2) in x * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 x) (/ 1 x)) (/ 1 eps)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 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]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]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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (/ 2 2) into 1 * [misc]backup-simplify: Simplify (sin (/ (+ (+ (/ 1 x) (/ 1 x)) (/ 1 eps)) 2)) into (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 eps) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 eps) 2) 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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 eps) 2) into (/ 1/2 eps) * [misc]backup-simplify: Simplify (sin (/ 1/2 eps)) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ 1/2 eps)) into (cos (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (* -2 (* (sin (/ (+ (+ (/ 1 x) (/ 1 x)) (/ 1 eps)) 2)) (sin (/ (/ 1 eps) 2)))) in x * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* (sin (/ (+ (+ (/ 1 x) (/ 1 x)) (/ 1 eps)) 2)) (sin (/ (/ 1 eps) 2))) in x * [misc]taylor: Taking taylor expansion of (sin (/ (+ (+ (/ 1 x) (/ 1 x)) (/ 1 eps)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (+ (/ 1 x) (/ 1 x)) (/ 1 eps)) 2) in x * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 x) (/ 1 x)) (/ 1 eps)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 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]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]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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (/ 2 2) into 1 * [misc]backup-simplify: Simplify (sin (/ (+ (+ (/ 1 x) (/ 1 x)) (/ 1 eps)) 2)) into (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 eps) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 eps) 2) 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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 eps) 2) into (/ 1/2 eps) * [misc]backup-simplify: Simplify (sin (/ 1/2 eps)) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ 1/2 eps)) into (cos (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 eps)) 1) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1/2 eps)) 0) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ 1/2 eps))) into (* (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ 1/2 eps))) * [misc]backup-simplify: Simplify (* -2 (* (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ 1/2 eps)))) into (* -2 (* (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ 1/2 eps)))) * [misc]taylor: Taking taylor expansion of (* -2 (* (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ 1/2 eps)))) in eps * [misc]taylor: Taking taylor expansion of -2 in eps * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ 1/2 eps))) in eps * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 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 (* 2 (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [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 (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (sin (/ 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (/ 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (sin (/ 1/2 eps)) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ 1/2 eps))) into (* (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ 1/2 eps))) * [misc]backup-simplify: Simplify (* -2 (* (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ 1/2 eps)))) into (* -2 (* (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ 1/2 eps)))) * [misc]backup-simplify: Simplify (* -2 (* (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ 1/2 eps)))) into (* -2 (* (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ 1/2 eps)))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 eps) (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 eps) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 eps)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 0) (* 0 (sin (/ 1/2 eps)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (* (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ 1/2 eps))))) 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 (+ (* (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 0) (* 0 (sin (/ 1/2 eps)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (* (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ 1/2 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 (/ 1/2 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 2) (+ (* (/ 1/2 eps) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 eps)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 0) (+ (* 0 0) (* 0 (sin (/ 1/2 eps))))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (* (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ 1/2 eps)))))) 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 (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 0) (+ (* 0 0) (* 0 (sin (/ 1/2 eps))))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (* (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ 1/2 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 (/ 1/2 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 (- (/ 0 2) (+ (* (/ 1/2 eps) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 eps)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1/2 eps)))))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ 1/2 eps))))))) 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 (* -2 (* (sin (* 1/2 (+ (/ 1 (/ 1 eps)) (* 2 (/ 1 (/ 1 x)))))) (sin (/ 1/2 (/ 1 eps))))) into (* -2 (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 eps)))) * [misc]approximate: Taking taylor expansion of (* -2 (* (sin (/ (+ (+ (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- eps))) 2)) (sin (/ (/ 1 (- eps)) 2)))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (* -2 (* (sin (/ (+ (+ (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- eps))) 2)) (sin (/ (/ 1 (- eps)) 2)))) in eps * [misc]taylor: Taking taylor expansion of -2 in eps * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* (sin (/ (+ (+ (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- eps))) 2)) (sin (/ (/ 1 (- eps)) 2))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ (+ (+ (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- eps))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (+ (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- eps))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- eps))) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 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]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]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 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (+ (+ (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- eps))) 2)) into (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 (- eps)) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- eps)) 2) 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 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 (- eps)) 2)) into (sin (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (* -2 (* (sin (/ (+ (+ (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- eps))) 2)) (sin (/ (/ 1 (- eps)) 2)))) in x * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* (sin (/ (+ (+ (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- eps))) 2)) (sin (/ (/ 1 (- eps)) 2))) in x * [misc]taylor: Taking taylor expansion of (sin (/ (+ (+ (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- eps))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (+ (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- eps))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- eps))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 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]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]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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 -1) into -2 * [misc]backup-simplify: Simplify (+ -2 0) into -2 * [misc]backup-simplify: Simplify (/ -2 2) into -1 * [misc]backup-simplify: Simplify (sin (/ (+ (+ (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- eps))) 2)) into (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 (- eps)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- eps)) 2) 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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 eps) 2) into (/ -1/2 eps) * [misc]backup-simplify: Simplify (sin (/ -1/2 eps)) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ -1/2 eps)) into (cos (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (* -2 (* (sin (/ (+ (+ (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- eps))) 2)) (sin (/ (/ 1 (- eps)) 2)))) in x * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* (sin (/ (+ (+ (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- eps))) 2)) (sin (/ (/ 1 (- eps)) 2))) in x * [misc]taylor: Taking taylor expansion of (sin (/ (+ (+ (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- eps))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (+ (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- eps))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- eps))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 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]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]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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 -1) into -2 * [misc]backup-simplify: Simplify (+ -2 0) into -2 * [misc]backup-simplify: Simplify (/ -2 2) into -1 * [misc]backup-simplify: Simplify (sin (/ (+ (+ (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- eps))) 2)) into (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 (- eps)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- eps)) 2) 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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 eps) 2) into (/ -1/2 eps) * [misc]backup-simplify: Simplify (sin (/ -1/2 eps)) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ -1/2 eps)) into (cos (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 eps)) 1) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1/2 eps)) 0) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) into (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) * [misc]backup-simplify: Simplify (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) into (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) * [misc]taylor: Taking taylor expansion of (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) in eps * [misc]taylor: Taking taylor expansion of -2 in eps * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) in eps * [misc]taylor: Taking taylor expansion of (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps * [misc]taylor: Taking taylor expansion of -1/2 in eps * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 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 (* 2 (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [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 (* -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (sin (/ -1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (/ -1/2 eps) in eps * [misc]taylor: Taking taylor expansion of -1/2 in eps * [misc]backup-simplify: Simplify -1/2 into -1/2 * [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 (/ -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (sin (/ -1/2 eps)) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) into (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) * [misc]backup-simplify: Simplify (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) into (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) * [misc]backup-simplify: Simplify (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) into (* -2 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 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 (- (/ 0 2) (+ (* (/ -1/2 eps) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 eps)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 0) (* 0 (sin (/ -1/2 eps)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))))) 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 (+ (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 0) (* 0 (sin (/ -1/2 eps)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 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 (/ -1/2 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 2) (+ (* (/ -1/2 eps) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 eps)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 0) (+ (* 0 0) (* 0 (sin (/ -1/2 eps))))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps)))))) 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 (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 0) (+ (* 0 0) (* 0 (sin (/ -1/2 eps))))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 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 (/ -1/2 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 (- (/ 0 2) (+ (* (/ -1/2 eps) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 eps)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1/2 eps)))))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))))))) 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 (* -2 (* (sin (* -1/2 (+ (/ 1 (/ 1 (- eps))) (* 2 (/ 1 (/ 1 (- x))))))) (sin (/ -1/2 (/ 1 (- eps)))))) into (* -2 (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 eps)))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sin (/ (+ (+ x x) eps) 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (log (sin (/ (+ x (+ x eps)) 2))) * [exit]simplify: Simplified to (log (sin (/ (+ x (+ x eps)) 2))) * * * * [misc]progress: [ 3 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sin (/ (+ (+ x x) eps) 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (exp (sin (/ (+ x (+ x eps)) 2))) * [exit]simplify: Simplified to (exp (sin (/ (+ x (+ x eps)) 2))) * * * * [misc]progress: [ 4 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sin (/ (+ (+ x x) eps) 2))) (cbrt (sin (/ (+ (+ x x) eps) 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (* (cbrt (sin (/ (+ x (+ x eps)) 2))) (cbrt (sin (/ (+ x (+ x eps)) 2)))) * [exit]simplify: Simplified to (* (cbrt (sin (/ (+ x (+ x eps)) 2))) (cbrt (sin (/ (+ x (+ x eps)) 2)))) * [enter]simplify: Simplifying (cbrt (sin (/ (+ (+ x x) eps) 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (cbrt (sin (/ (+ x (+ x eps)) 2))) * [exit]simplify: Simplified to (cbrt (sin (/ (+ x (+ x eps)) 2))) * * * * [misc]progress: [ 5 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sin (/ (+ (+ x x) eps) 2)) (sin (/ (+ (+ x x) eps) 2))) (sin (/ (+ (+ x x) eps) 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (pow (sin (/ (+ x (+ x eps)) 2)) 3) * [exit]simplify: Simplified to (pow (sin (/ (+ x (+ x eps)) 2)) 3) * * * * [misc]progress: [ 6 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sin (/ (+ (+ x x) eps) 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (sqrt (sin (/ (+ x (+ x eps)) 2))) * [exit]simplify: Simplified to (sqrt (sin (/ (+ x (+ x eps)) 2))) * [enter]simplify: Simplifying (sqrt (sin (/ (+ (+ x x) eps) 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (sqrt (sin (/ (+ x (+ x eps)) 2))) * [exit]simplify: Simplified to (sqrt (sin (/ (+ x (+ x eps)) 2))) * * * * [misc]progress: [ 7 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (- (cos (- (/ (+ (+ x x) eps) 2) (/ eps 2))) (cos (+ (/ (+ (+ x x) eps) 2) (/ eps 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (- (cos (- (/ (+ (+ x eps) x) 2) (/ eps 2))) (cos (+ (/ (+ (+ x eps) x) 2) (/ eps 2)))) * [exit]simplify: Simplified to (- (cos (- (/ (+ (+ x eps) x) 2) (/ eps 2))) (cos (+ (/ (+ (+ x eps) x) 2) (/ eps 2)))) * * * * [misc]progress: [ 9 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (/ (+ (+ x x) eps) 2)) (sin (/ eps 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (* (sin (/ (+ x (+ x eps)) 2)) (sin (/ eps 2))) * [exit]simplify: Simplified to (* (sin (/ (+ x (+ x eps)) 2)) (sin (/ eps 2))) * * * * [misc]progress: [ 10 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sin (/ (+ (+ x x) eps) 2))) (log (sin (/ eps 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (+ (log (sin (/ (+ (+ x eps) x) 2))) (log (sin (/ eps 2)))) * [exit]simplify: Simplified to (+ (log (sin (/ (+ (+ x eps) x) 2))) (log (sin (/ eps 2)))) * * * * [misc]progress: [ 12 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (sin (/ (+ (+ x x) eps) 2)) (sin (/ eps 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (log (* (sin (/ (+ (+ x eps) x) 2)) (sin (/ eps 2)))) * [exit]simplify: Simplified to (log (* (sin (/ (+ (+ x eps) x) 2)) (sin (/ eps 2)))) * * * * [misc]progress: [ 13 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (sin (/ (+ (+ x x) eps) 2)) (sin (/ eps 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (exp (* (sin (/ (+ (+ x eps) x) 2)) (sin (/ eps 2)))) * [exit]simplify: Simplified to (exp (* (sin (/ (+ (+ x eps) x) 2)) (sin (/ eps 2)))) * * * * [misc]progress: [ 14 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sin (/ (+ (+ x x) eps) 2)) (sin (/ (+ (+ x x) eps) 2))) (sin (/ (+ (+ x x) eps) 2))) (* (* (sin (/ eps 2)) (sin (/ eps 2))) (sin (/ eps 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to (pow (* (sin (/ eps 2)) (sin (/ (+ (+ x eps) x) 2))) 3) * [exit]simplify: Simplified to (pow (* (sin (/ eps 2)) (sin (/ (+ (+ x eps) x) 2))) 3) * * * * [misc]progress: [ 15 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sin (/ (+ (+ x x) eps) 2)) (sin (/ eps 2)))) (cbrt (* (sin (/ (+ (+ x x) eps) 2)) (sin (/ eps 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sin (/ (+ (+ x eps) x) 2)) (sin (/ eps 2)))) (cbrt (* (sin (/ (+ (+ x eps) x) 2)) (sin (/ eps 2))))) * [exit]simplify: Simplified to (* (cbrt (* (sin (/ (+ (+ x eps) x) 2)) (sin (/ eps 2)))) (cbrt (* (sin (/ (+ (+ x eps) x) 2)) (sin (/ eps 2))))) * [enter]simplify: Simplifying (cbrt (* (sin (/ (+ (+ x x) eps) 2)) (sin (/ eps 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (cbrt (* (sin (/ (+ x (+ x eps)) 2)) (sin (/ eps 2)))) * [exit]simplify: Simplified to (cbrt (* (sin (/ (+ x (+ x eps)) 2)) (sin (/ eps 2)))) * * * * [misc]progress: [ 16 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sin (/ (+ (+ x x) eps) 2)) (sin (/ eps 2))) (* (sin (/ (+ (+ x x) eps) 2)) (sin (/ eps 2)))) (* (sin (/ (+ (+ x x) eps) 2)) (sin (/ eps 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (115 enodes) * [exit]simplify: Simplified to (pow (* (sin (/ (+ (+ x eps) x) 2)) (sin (/ eps 2))) 3) * [exit]simplify: Simplified to (pow (* (sin (/ (+ (+ x eps) x) 2)) (sin (/ eps 2))) 3) * * * * [misc]progress: [ 17 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (sin (/ (+ (+ x x) eps) 2)) (sin (/ eps 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (sqrt (* (sin (/ (+ x (+ x eps)) 2)) (sin (/ eps 2)))) * [exit]simplify: Simplified to (sqrt (* (sin (/ (+ x (+ x eps)) 2)) (sin (/ eps 2)))) * [enter]simplify: Simplifying (sqrt (* (sin (/ (+ (+ x x) eps) 2)) (sin (/ eps 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (sqrt (* (sin (/ (+ x (+ x eps)) 2)) (sin (/ eps 2)))) * [exit]simplify: Simplified to (sqrt (* (sin (/ (+ x (+ x eps)) 2)) (sin (/ eps 2)))) * * * * [misc]progress: [ 18 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (/ (+ (+ x x) eps) 2)) (* (cbrt (sin (/ eps 2))) (cbrt (sin (/ eps 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sin (/ eps 2))) (cbrt (sin (/ eps 2)))) (sin (/ (+ (+ x eps) x) 2))) * [exit]simplify: Simplified to (* (* (cbrt (sin (/ eps 2))) (cbrt (sin (/ eps 2)))) (sin (/ (+ (+ x eps) x) 2))) * * * * [misc]progress: [ 20 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (/ (+ (+ x x) eps) 2)) (sqrt (sin (/ eps 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (* (sqrt (sin (/ eps 2))) (sin (/ (+ x (+ x eps)) 2))) * [exit]simplify: Simplified to (* (sqrt (sin (/ eps 2))) (sin (/ (+ x (+ x eps)) 2))) * * * * [misc]progress: [ 21 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (/ (+ (+ x x) eps) 2)) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (sin (/ (+ x (+ x eps)) 2)) * [exit]simplify: Simplified to (sin (/ (+ x (+ x eps)) 2)) * * * * [misc]progress: [ 22 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sin (/ (+ (+ x x) eps) 2))) (sin (/ eps 2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (* (sin (/ eps 2)) (cbrt (sin (/ (+ x (+ x eps)) 2)))) * [exit]simplify: Simplified to (* (sin (/ eps 2)) (cbrt (sin (/ (+ x (+ x eps)) 2)))) * * * * [misc]progress: [ 23 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sin (/ (+ (+ x x) eps) 2))) (sin (/ eps 2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (* (sin (/ eps 2)) (sqrt (sin (/ (+ x (+ x eps)) 2)))) * [exit]simplify: Simplified to (* (sin (/ eps 2)) (sqrt (sin (/ (+ x (+ x eps)) 2)))) * * * * [misc]progress: [ 24 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (/ (+ (+ x x) eps) 2)) (sin (/ eps 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (* (sin (/ (+ x (+ x eps)) 2)) (sin (/ eps 2))) * [exit]simplify: Simplified to (* (sin (/ (+ x (+ x eps)) 2)) (sin (/ eps 2))) * * * * [misc]progress: [ 25 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (+ (+ x x) eps) 2)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (log (/ (+ x (+ x eps)) 2)) * [exit]simplify: Simplified to (log (/ (+ x (+ x eps)) 2)) * * * * [misc]progress: [ 28 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (+ (+ x x) eps) 2)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (sqrt (exp (+ x (+ x eps)))) * [exit]simplify: Simplified to (sqrt (exp (+ x (+ x eps)))) * * * * [misc]progress: [ 29 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (+ (+ x x) eps) 2)) (cbrt (/ (+ (+ x x) eps) 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (+ x (+ x eps)) 2)) (cbrt (/ (+ x (+ x eps)) 2))) * [exit]simplify: Simplified to (* (cbrt (/ (+ x (+ x eps)) 2)) (cbrt (/ (+ x (+ x eps)) 2))) * [enter]simplify: Simplifying (cbrt (/ (+ (+ x x) eps) 2)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ x (+ x eps)) 2)) * [exit]simplify: Simplified to (cbrt (/ (+ x (+ x eps)) 2)) * * * * [misc]progress: [ 30 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (+ (+ x x) eps) 2) (/ (+ (+ x x) eps) 2)) (/ (+ (+ x x) eps) 2)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (213 enodes) * [exit]simplify: Simplified to (pow (/ (+ x (+ x eps)) 2) 3) * [exit]simplify: Simplified to (pow (/ (+ x (+ x eps)) 2) 3) * * * * [misc]progress: [ 31 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (+ (+ x x) eps) 2)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ x (+ x eps)) 2)) * [exit]simplify: Simplified to (sqrt (/ (+ x (+ x eps)) 2)) * [enter]simplify: Simplifying (sqrt (/ (+ (+ x x) eps) 2)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ x (+ x eps)) 2)) * [exit]simplify: Simplified to (sqrt (/ (+ x (+ x eps)) 2)) * * * * [misc]progress: [ 32 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (+ x x) eps)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (- (- x) (+ x eps)) * [exit]simplify: Simplified to (- (- x) (+ x eps)) * [enter]simplify: Simplifying (- 2) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- 2) * [exit]simplify: Simplified to (- 2) * * * * [misc]progress: [ 33 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 2) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 2) * [exit]simplify: Simplified to (/ 1 2) * * * * [misc]progress: [ 35 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (+ (+ x x) eps)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (/ 2 (+ eps (+ x x))) * [exit]simplify: Simplified to (/ 2 (+ eps (+ x x))) * * * * [misc]progress: [ 36 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (cbrt (+ (+ x x) eps))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ 2 (cbrt (+ eps (+ x x)))) * [exit]simplify: Simplified to (/ 2 (cbrt (+ eps (+ x x)))) * * * * [misc]progress: [ 37 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (sqrt (+ (+ x x) eps))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ 2 (sqrt (+ eps (+ x x)))) * [exit]simplify: Simplified to (/ 2 (sqrt (+ eps (+ x x)))) * * * * [misc]progress: [ 38 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (+ (+ x x) eps)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (/ 2 (+ eps (+ x x))) * [exit]simplify: Simplified to (/ 2 (+ eps (+ x x))) * * * * [misc]progress: [ 39 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (+ (* (+ x x) (+ x x)) (- (* eps eps) (* (+ x x) eps)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (249 enodes) * [exit]simplify: Simplified to (+ (* (* (+ x x) (+ x x)) 2) (* (- eps (+ x x)) (* eps 2))) * [exit]simplify: Simplified to (+ (* (* (+ x x) (+ x x)) 2) (* (- eps (+ x x)) (* eps 2))) * * * * [misc]progress: [ 40 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (- (+ x x) eps)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (* (+ x (- x eps)) 2) * [exit]simplify: Simplified to (* (+ x (- x eps)) 2) * * * * [misc]progress: [ 41 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* -2 (* (sin (/ (+ (+ x x) eps) 2)) (sin (/ eps 2))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * [exit]simplify: Simplified to (log (* (sin (/ (+ eps (+ x x)) 2)) (* (sin (/ eps 2)) -2))) * [exit]simplify: Simplified to (log (* (sin (/ (+ eps (+ x x)) 2)) (* (sin (/ eps 2)) -2))) * * * * [misc]progress: [ 43 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* -2 (* (sin (/ (+ (+ x x) eps) 2)) (sin (/ eps 2))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (exp (* (* (sin (/ eps 2)) -2) (sin (/ (+ (+ x eps) x) 2)))) * [exit]simplify: Simplified to (exp (* (* (sin (/ eps 2)) -2) (sin (/ (+ (+ x eps) x) 2)))) * * * * [misc]progress: [ 44 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* -2 (* (sin (/ (+ (+ x x) eps) 2)) (sin (/ eps 2))))) (cbrt (* -2 (* (sin (/ (+ (+ x x) eps) 2)) (sin (/ eps 2)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (* (cbrt (* (* (sin (/ eps 2)) -2) (sin (/ (+ eps (+ x x)) 2)))) (cbrt (* (* (sin (/ eps 2)) -2) (sin (/ (+ eps (+ x x)) 2))))) * [exit]simplify: Simplified to (* (cbrt (* (* (sin (/ eps 2)) -2) (sin (/ (+ eps (+ x x)) 2)))) (cbrt (* (* (sin (/ eps 2)) -2) (sin (/ (+ eps (+ x x)) 2))))) * [enter]simplify: Simplifying (cbrt (* -2 (* (sin (/ (+ (+ x x) eps) 2)) (sin (/ eps 2))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (cbrt (* (* (sin (/ eps 2)) -2) (sin (/ (+ eps (+ x x)) 2)))) * [exit]simplify: Simplified to (cbrt (* (* (sin (/ eps 2)) -2) (sin (/ (+ eps (+ x x)) 2)))) * * * * [misc]progress: [ 45 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* -2 (* (sin (/ (+ (+ x x) eps) 2)) (sin (/ eps 2)))) (* -2 (* (sin (/ (+ (+ x x) eps) 2)) (sin (/ eps 2))))) (* -2 (* (sin (/ (+ (+ x x) eps) 2)) (sin (/ eps 2))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (213 enodes) * [exit]simplify: Simplified to (pow (* (sin (/ (+ eps (+ x x)) 2)) (* (sin (/ eps 2)) -2)) 3) * [exit]simplify: Simplified to (pow (* (sin (/ (+ eps (+ x x)) 2)) (* (sin (/ eps 2)) -2)) 3) * * * * [misc]progress: [ 46 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* -2 (* (sin (/ (+ (+ x x) eps) 2)) (sin (/ eps 2))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (sqrt (* (* (sin (/ eps 2)) -2) (sin (/ (+ eps (+ x x)) 2)))) * [exit]simplify: Simplified to (sqrt (* (* (sin (/ eps 2)) -2) (sin (/ (+ eps (+ x x)) 2)))) * [enter]simplify: Simplifying (sqrt (* -2 (* (sin (/ (+ (+ x x) eps) 2)) (sin (/ eps 2))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (sqrt (* (* (sin (/ eps 2)) -2) (sin (/ (+ eps (+ x x)) 2)))) * [exit]simplify: Simplified to (sqrt (* (* (sin (/ eps 2)) -2) (sin (/ (+ eps (+ x x)) 2)))) * * * * [misc]progress: [ 47 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (sin (/ (+ (+ x x) eps) 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (* (sin (/ (+ eps (+ x x)) 2)) -2) * [exit]simplify: Simplified to (* (sin (/ (+ eps (+ x x)) 2)) -2) * * * * [misc]progress: [ 49 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (- (cos (- (/ (+ (+ x x) eps) 2) (/ eps 2))) (cos (+ (/ (+ (+ x x) eps) 2) (/ eps 2))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * [exit]simplify: Simplified to (* (- (cos (- (/ (+ eps (+ x x)) 2) (/ eps 2))) (cos (+ (/ eps 2) (/ (+ eps (+ x x)) 2)))) -2) * [exit]simplify: Simplified to (* (- (cos (- (/ (+ eps (+ x x)) 2) (/ eps 2))) (cos (+ (/ eps 2) (/ (+ eps (+ x x)) 2)))) -2) * * * * [misc]progress: [ 50 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (* (- (+ x (* 1/2 eps)) (* 1/6 (pow x 3))) (sin (/ eps 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (264 enodes) * [exit]simplify: Simplified to (* (* (sin (/ eps 2)) -2) (- (+ x (* 1/2 eps)) (* (* 1/6 x) (* x x)))) * * * * [misc]progress: [ 52 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (/ eps 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * [exit]simplify: Simplified to (* (* -2 (sin (/ eps 2))) (sin (* (+ eps (* 2 x)) 1/2))) * * * * [misc]progress: [ 53 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (/ eps 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * [exit]simplify: Simplified to (* (* -2 (sin (/ eps 2))) (sin (* (+ eps (* 2 x)) 1/2))) * * * * [misc]progress: [ 54 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (- (+ (* 1/2 (* x eps)) (exp (* 2 (+ (log 1/2) (log eps))))) (* 1/2 (* (exp (* 2 (+ (log 1/2) (log eps)))) (pow x 2))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (268 enodes) * [exit]simplify: Simplified to (* -2 (- (+ (* eps (* x 1/2)) (* (* eps 1/2) (* eps 1/2))) (* (* (* eps 1/2) (* eps 1/2)) (* (* x 1/2) x)))) * * * * [misc]progress: [ 55 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 eps)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * [exit]simplify: Simplified to (* (sin (* (+ eps (* 2 x)) 1/2)) (* -2 (sin (* eps 1/2)))) * * * * [misc]progress: [ 56 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 eps)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * [exit]simplify: Simplified to (* (sin (* (+ eps (* 2 x)) 1/2)) (* -2 (sin (* eps 1/2)))) * * * * [misc]progress: [ 57 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (* (sin (+ x (* 1/2 eps))) (sin (/ eps 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (* (* (sin (/ eps 2)) -2) (sin (+ x (* 1/2 eps)))) * * * * [misc]progress: [ 58 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (* (sin (+ x (* 1/2 eps))) (sin (/ eps 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (* (* (sin (/ eps 2)) -2) (sin (+ x (* 1/2 eps)))) * * * * [misc]progress: [ 59 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (* (sin (+ x (* 1/2 eps))) (sin (/ eps 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (* (* (sin (/ eps 2)) -2) (sin (+ x (* 1/2 eps)))) * * * * [misc]progress: [ 60 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (exp (* 2 (+ (log 1/2) (log eps)))) (pow x 2)) (+ (* x eps) (* 2 (exp (* 2 (+ (log 1/2) (log eps))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (298 enodes) * [exit]simplify: Simplified to (- (* (- (* x x) 2) (* (* eps 1/2) (* eps 1/2))) (* x eps)) * * * * [misc]progress: [ 61 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 eps)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * [exit]simplify: Simplified to (* (sin (* (+ eps (* 2 x)) 1/2)) (* -2 (sin (* eps 1/2)))) * * * * [misc]progress: [ 62 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (* (sin (* 1/2 (+ (* 2 x) eps))) (sin (* 1/2 eps)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * [exit]simplify: Simplified to (* (sin (* (+ eps (* 2 x)) 1/2)) (* -2 (sin (* eps 1/2)))) * * * [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 / 3 ] rewriting at (2 2 1) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 2) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (sin (+ x (* 1/2 eps))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (sin (+ x (* 1/2 eps))) in eps * [misc]taylor: Taking taylor expansion of (+ x (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ x 0) 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 (* 1/2 eps))) in x * [misc]taylor: Taking taylor expansion of (+ x (* 1/2 eps)) 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 (* 1/2 eps) 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 eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (* 1/2 eps) into (* 1/2 eps) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 eps)) into (* 1/2 eps) * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (+ x (* 1/2 eps))) in x * [misc]taylor: Taking taylor expansion of (+ x (* 1/2 eps)) 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 (* 1/2 eps) 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 eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (* 1/2 eps) into (* 1/2 eps) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 eps)) into (* 1/2 eps) * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 eps)) 1) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (* 1/2 eps)) 0) into (sin (* 1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 eps)) 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 (* 1/2 eps)) 1) (* 0 0)) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (+ 0 (cos (* 1/2 eps))) into (cos (* 1/2 eps)) * [misc]taylor: Taking taylor expansion of (cos (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 eps)) (- 1/2)) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (sin (* 1/2 eps)))) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 eps))) 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 (+ (* (cos (* 1/2 eps)) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/2 (sin (* 1/2 eps)))) 0) into (- (* 1/2 (sin (* 1/2 eps)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (sin (* 1/2 eps)))) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 (sin (* 1/2 eps))) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sin (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [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 (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 eps)) 0) (+ (* 0 (- 1/2)) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 eps)))) 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 (* 1/2 eps)) (- 1/6)) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into (- (* 1/6 (cos (* 1/2 eps)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/6 (cos (* 1/2 eps))))) into (- (* 1/6 (cos (* 1/2 eps)))) * [misc]taylor: Taking taylor expansion of (- (* 1/6 (cos (* 1/2 eps)))) in eps * [misc]taylor: Taking taylor expansion of (* 1/6 (cos (* 1/2 eps))) in eps * [misc]taylor: Taking taylor expansion of 1/6 in eps * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [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 x) 3)) (+ (* 1/2 (* eps 1)) (* 1 (* 1 x)))) into (- (+ x (* 1/2 eps)) (* 1/6 (pow x 3))) * [misc]approximate: Taking taylor expansion of (sin (+ (/ 1 x) (* 1/2 (/ 1 eps)))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (sin (+ (/ 1 x) (* 1/2 (/ 1 eps)))) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (* 1/2 (/ 1 eps))) 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]taylor: Taking taylor expansion of (* 1/2 (/ 1 eps)) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (sin (+ (/ 1 x) (* 1/2 (/ 1 eps)))) into (sin (+ (* 1/2 (/ 1 eps)) (/ 1 x))) * [misc]taylor: Taking taylor expansion of (sin (+ (/ 1 x) (* 1/2 (/ 1 eps)))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (* 1/2 (/ 1 eps))) 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]taylor: Taking taylor expansion of (* 1/2 (/ 1 eps)) 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 (/ 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sin (+ (/ 1 x) (* 1/2 (/ 1 eps)))) into (sin (+ (* 1/2 (/ 1 eps)) (/ 1 x))) * [misc]taylor: Taking taylor expansion of (sin (+ (/ 1 x) (* 1/2 (/ 1 eps)))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (* 1/2 (/ 1 eps))) 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]taylor: Taking taylor expansion of (* 1/2 (/ 1 eps)) 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 (/ 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sin (+ (/ 1 x) (* 1/2 (/ 1 eps)))) into (sin (+ (* 1/2 (/ 1 eps)) (/ 1 x))) * [misc]taylor: Taking taylor expansion of (sin (+ (* 1/2 (/ 1 eps)) (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 eps)) (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 eps)) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (sin (+ (* 1/2 (/ 1 eps)) (/ 1 x))) into (sin (+ (* 1/2 (/ 1 eps)) (/ 1 x))) * [misc]backup-simplify: Simplify (sin (+ (* 1/2 (/ 1 eps)) (/ 1 x))) into (sin (+ (* 1/2 (/ 1 eps)) (/ 1 x))) * [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]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]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 (sin (+ (* 1/2 (/ 1 (/ 1 eps))) (/ 1 (/ 1 x)))) into (sin (+ x (* 1/2 eps))) * [misc]approximate: Taking taylor expansion of (sin (+ (/ 1 (- x)) (* 1/2 (/ 1 (- eps))))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (sin (+ (/ 1 (- x)) (* 1/2 (/ 1 (- eps))))) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (* 1/2 (/ 1 (- eps)))) 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]taylor: Taking taylor expansion of (* 1/2 (/ 1 (- eps))) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (* 1/2 -1) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (sin (+ (/ 1 (- x)) (* 1/2 (/ 1 (- eps))))) into (sin (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (sin (+ (/ 1 (- x)) (* 1/2 (/ 1 (- eps))))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (* 1/2 (/ 1 (- eps)))) 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]taylor: Taking taylor expansion of (* 1/2 (/ 1 (- eps))) 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 (/ 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 (+ -1 0) into -1 * [misc]backup-simplify: Simplify (sin (+ (/ 1 (- x)) (* 1/2 (/ 1 (- eps))))) into (sin (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (sin (+ (/ 1 (- x)) (* 1/2 (/ 1 (- eps))))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (* 1/2 (/ 1 (- eps)))) 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]taylor: Taking taylor expansion of (* 1/2 (/ 1 (- eps))) 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 (/ 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 (+ -1 0) into -1 * [misc]backup-simplify: Simplify (sin (+ (/ 1 (- x)) (* 1/2 (/ 1 (- eps))))) into (sin (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (sin (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) in eps * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (/ 1 eps)) (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 eps)) (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 eps)) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (sin (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) into (sin (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) * [misc]backup-simplify: Simplify (sin (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) into (sin (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) * [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]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]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 (sin (- (+ (* 1/2 (/ 1 (/ 1 (- eps)))) (/ 1 (/ 1 (- x)))))) into (sin (+ x (* 1/2 eps))) * * * * [misc]progress: [ 2 / 3 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (* (sin (+ x (* 1/2 eps))) (sin (/ eps 2))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (+ x (* 1/2 eps))) (sin (/ eps 2))) in eps * [misc]taylor: Taking taylor expansion of (sin (+ x (* 1/2 eps))) in eps * [misc]taylor: Taking taylor expansion of (+ x (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ x 0) 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 2)) in eps * [misc]taylor: Taking taylor expansion of (/ eps 2) 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 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (* (sin (+ x (* 1/2 eps))) (sin (/ eps 2))) in x * [misc]taylor: Taking taylor expansion of (sin (+ x (* 1/2 eps))) in x * [misc]taylor: Taking taylor expansion of (+ x (* 1/2 eps)) 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 (* 1/2 eps) 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 eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (* 1/2 eps) into (* 1/2 eps) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 eps)) into (* 1/2 eps) * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ eps 2)) in x * [misc]taylor: Taking taylor expansion of (/ eps 2) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ eps 2) into (* 1/2 eps) * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]taylor: Taking taylor expansion of (* (sin (+ x (* 1/2 eps))) (sin (/ eps 2))) in x * [misc]taylor: Taking taylor expansion of (sin (+ x (* 1/2 eps))) in x * [misc]taylor: Taking taylor expansion of (+ x (* 1/2 eps)) 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 (* 1/2 eps) 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 eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (* 1/2 eps) into (* 1/2 eps) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 eps)) into (* 1/2 eps) * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ eps 2)) in x * [misc]taylor: Taking taylor expansion of (/ eps 2) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ eps 2) into (* 1/2 eps) * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 eps)) 1) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (* 1/2 eps)) 0) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 eps)) 1) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (* 1/2 eps)) 0) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 eps)) (sin (* 1/2 eps))) into (pow (sin (* 1/2 eps)) 2) * [misc]taylor: Taking taylor expansion of (pow (sin (* 1/2 eps)) 2) in eps * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (sin (* 1/2 eps))))) in eps * [misc]taylor: Taking taylor expansion of (* 2 (log (sin (* 1/2 eps)))) in eps * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (sin (* 1/2 eps))) in eps * [misc]taylor: Taking taylor expansion of (sin (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log eps)) (log 1/2)) into (+ (log 1/2) (log eps)) * [misc]backup-simplify: Simplify (* 2 (+ (log 1/2) (log eps))) into (* 2 (+ (log 1/2) (log eps))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log 1/2) (log eps)))) into (exp (* 2 (+ (log 1/2) (log eps)))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log 1/2) (log eps)))) into (exp (* 2 (+ (log 1/2) (log eps)))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 eps) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 eps)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 eps)) 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 (* 1/2 eps)) 1) (* 0 0)) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (+ 0 (cos (* 1/2 eps))) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 eps)) 0) (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) into (* (cos (* 1/2 eps)) (sin (* 1/2 eps))) * [misc]taylor: Taking taylor expansion of (* (cos (* 1/2 eps)) (sin (* 1/2 eps))) in eps * [misc]taylor: Taking taylor expansion of (cos (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]taylor: Taking taylor expansion of (sin (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log eps)) (log 1/2)) into (+ (log 1/2) (log eps)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log 1/2) (log eps)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log 1/2) (log eps)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 eps)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 eps) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 eps)) 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 (+ (* (sin (* 1/2 eps)) (- 1/2)) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (sin (* 1/2 eps)))) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 eps))) 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 (+ (* (cos (* 1/2 eps)) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/2 (sin (* 1/2 eps)))) 0) into (- (* 1/2 (sin (* 1/2 eps)))) * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 eps)) 0) (+ (* (cos (* 1/2 eps)) 0) (* (- (* 1/2 (sin (* 1/2 eps)))) (sin (* 1/2 eps))))) into (- (* 1/2 (pow (sin (* 1/2 eps)) 2))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (pow (sin (* 1/2 eps)) 2))) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 (pow (sin (* 1/2 eps)) 2)) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow (sin (* 1/2 eps)) 2) in eps * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (sin (* 1/2 eps))))) in eps * [misc]taylor: Taking taylor expansion of (* 2 (log (sin (* 1/2 eps)))) in eps * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (sin (* 1/2 eps))) in eps * [misc]taylor: Taking taylor expansion of (sin (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log eps)) (log 1/2)) into (+ (log 1/2) (log eps)) * [misc]backup-simplify: Simplify (* 2 (+ (log 1/2) (log eps))) into (* 2 (+ (log 1/2) (log eps))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log 1/2) (log eps)))) into (exp (* 2 (+ (log 1/2) (log eps)))) * [misc]backup-simplify: Simplify (* 1/2 (exp (* 2 (+ (log 1/2) (log eps))))) into (* 1/2 (exp (* 2 (+ (log 1/2) (log eps))))) * [misc]backup-simplify: Simplify (- (* 1/2 (exp (* 2 (+ (log 1/2) (log eps)))))) into (- (* 1/2 (exp (* 2 (+ (log 1/2) (log eps)))))) * [misc]backup-simplify: Simplify (- (* 1/2 (exp (* 2 (+ (log 1/2) (log eps)))))) into (- (* 1/2 (exp (* 2 (+ (log 1/2) (log eps)))))) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1/2) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 (* eps x)) (+ (* (- (* 1/2 (exp (* 2 (+ (log 1/2) (log eps)))))) (pow (* 1 x) 2)) (exp (* 2 (+ (log 1/2) (log eps)))))) into (- (+ (* 1/2 (* x eps)) (exp (* 2 (+ (log 1/2) (log eps))))) (* 1/2 (* (exp (* 2 (+ (log 1/2) (log eps)))) (pow x 2)))) * [misc]approximate: Taking taylor expansion of (* (sin (+ (/ 1 x) (* 1/2 (/ 1 eps)))) (sin (/ (/ 1 eps) 2))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (+ (/ 1 x) (* 1/2 (/ 1 eps)))) (sin (/ (/ 1 eps) 2))) in eps * [misc]taylor: Taking taylor expansion of (sin (+ (/ 1 x) (* 1/2 (/ 1 eps)))) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (* 1/2 (/ 1 eps))) 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]taylor: Taking taylor expansion of (* 1/2 (/ 1 eps)) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (sin (+ (/ 1 x) (* 1/2 (/ 1 eps)))) into (sin (+ (* 1/2 (/ 1 eps)) (/ 1 x))) * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 eps) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (/ 1 eps) 2) 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 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 eps) 2)) into (sin (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (* (sin (+ (/ 1 x) (* 1/2 (/ 1 eps)))) (sin (/ (/ 1 eps) 2))) in x * [misc]taylor: Taking taylor expansion of (sin (+ (/ 1 x) (* 1/2 (/ 1 eps)))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (* 1/2 (/ 1 eps))) 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]taylor: Taking taylor expansion of (* 1/2 (/ 1 eps)) 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 (/ 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sin (+ (/ 1 x) (* 1/2 (/ 1 eps)))) into (sin (+ (* 1/2 (/ 1 eps)) (/ 1 x))) * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 eps) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 eps) 2) 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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 eps) 2) into (/ 1/2 eps) * [misc]backup-simplify: Simplify (sin (/ 1/2 eps)) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ 1/2 eps)) into (cos (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (* (sin (+ (/ 1 x) (* 1/2 (/ 1 eps)))) (sin (/ (/ 1 eps) 2))) in x * [misc]taylor: Taking taylor expansion of (sin (+ (/ 1 x) (* 1/2 (/ 1 eps)))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (* 1/2 (/ 1 eps))) 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]taylor: Taking taylor expansion of (* 1/2 (/ 1 eps)) 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 (/ 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sin (+ (/ 1 x) (* 1/2 (/ 1 eps)))) into (sin (+ (* 1/2 (/ 1 eps)) (/ 1 x))) * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 eps) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 eps) 2) 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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 eps) 2) into (/ 1/2 eps) * [misc]backup-simplify: Simplify (sin (/ 1/2 eps)) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ 1/2 eps)) into (cos (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 eps)) 1) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1/2 eps)) 0) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (+ (* 1/2 (/ 1 eps)) (/ 1 x))) (sin (/ 1/2 eps))) into (* (sin (/ 1/2 eps)) (sin (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1/2 eps)) (sin (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (/ 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (sin (/ 1/2 eps)) into (sin (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (+ (* 1/2 (/ 1 eps)) (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 eps)) (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 eps)) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (sin (+ (* 1/2 (/ 1 eps)) (/ 1 x))) into (sin (+ (* 1/2 (/ 1 eps)) (/ 1 x))) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 eps)) (sin (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) into (* (sin (+ (* 1/2 (/ 1 eps)) (/ 1 x))) (sin (/ 1/2 eps))) * [misc]backup-simplify: Simplify (* (sin (+ (* 1/2 (/ 1 eps)) (/ 1 x))) (sin (/ 1/2 eps))) into (* (sin (/ 1/2 eps)) (sin (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 eps) (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 eps) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 eps)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (+ (* 1/2 (/ 1 eps)) (/ 1 x))) 0) (* 0 (sin (/ 1/2 eps)))) 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 (+ (* (sin (/ 1/2 eps)) 0) (* 0 (sin (+ (* 1/2 (/ 1 eps)) (/ 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 (/ 1/2 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 2) (+ (* (/ 1/2 eps) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 eps)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (+ (* 1/2 (/ 1 eps)) (/ 1 x))) 0) (+ (* 0 0) (* 0 (sin (/ 1/2 eps))))) 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 (/ 1/2 eps)) 0) (+ (* 0 0) (* 0 (sin (+ (* 1/2 (/ 1 eps)) (/ 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 (/ 1/2 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 (- (/ 0 2) (+ (* (/ 1/2 eps) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 eps)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (+ (* 1/2 (/ 1 eps)) (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1/2 eps)))))) 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 (* (sin (/ 1/2 (/ 1 eps))) (sin (+ (* 1/2 (/ 1 (/ 1 eps))) (/ 1 (/ 1 x))))) into (* (sin (+ x (* 1/2 eps))) (sin (* 1/2 eps))) * [misc]approximate: Taking taylor expansion of (* (sin (+ (/ 1 (- x)) (* 1/2 (/ 1 (- eps))))) (sin (/ (/ 1 (- eps)) 2))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (+ (/ 1 (- x)) (* 1/2 (/ 1 (- eps))))) (sin (/ (/ 1 (- eps)) 2))) in eps * [misc]taylor: Taking taylor expansion of (sin (+ (/ 1 (- x)) (* 1/2 (/ 1 (- eps))))) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (* 1/2 (/ 1 (- eps)))) 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]taylor: Taking taylor expansion of (* 1/2 (/ 1 (- eps))) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (* 1/2 -1) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (sin (+ (/ 1 (- x)) (* 1/2 (/ 1 (- eps))))) into (sin (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 (- eps)) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- eps)) 2) 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 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 (- eps)) 2)) into (sin (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (* (sin (+ (/ 1 (- x)) (* 1/2 (/ 1 (- eps))))) (sin (/ (/ 1 (- eps)) 2))) in x * [misc]taylor: Taking taylor expansion of (sin (+ (/ 1 (- x)) (* 1/2 (/ 1 (- eps))))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (* 1/2 (/ 1 (- eps)))) 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]taylor: Taking taylor expansion of (* 1/2 (/ 1 (- eps))) 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 (/ 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 (+ -1 0) into -1 * [misc]backup-simplify: Simplify (sin (+ (/ 1 (- x)) (* 1/2 (/ 1 (- eps))))) into (sin (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 (- eps)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- eps)) 2) 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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 eps) 2) into (/ -1/2 eps) * [misc]backup-simplify: Simplify (sin (/ -1/2 eps)) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ -1/2 eps)) into (cos (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (* (sin (+ (/ 1 (- x)) (* 1/2 (/ 1 (- eps))))) (sin (/ (/ 1 (- eps)) 2))) in x * [misc]taylor: Taking taylor expansion of (sin (+ (/ 1 (- x)) (* 1/2 (/ 1 (- eps))))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (* 1/2 (/ 1 (- eps)))) 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]taylor: Taking taylor expansion of (* 1/2 (/ 1 (- eps))) 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 (/ 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 (+ -1 0) into -1 * [misc]backup-simplify: Simplify (sin (+ (/ 1 (- x)) (* 1/2 (/ 1 (- eps))))) into (sin (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 (- eps)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- eps)) 2) 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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 eps) 2) into (/ -1/2 eps) * [misc]backup-simplify: Simplify (sin (/ -1/2 eps)) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ -1/2 eps)) into (cos (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 eps)) 1) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1/2 eps)) 0) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) (sin (/ -1/2 eps))) into (* (sin (/ -1/2 eps)) (sin (- (+ (* 1/2 (/ 1 eps)) (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (* (sin (/ -1/2 eps)) (sin (- (+ (* 1/2 (/ 1 eps)) (/ 1 x))))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ -1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (/ -1/2 eps) in eps * [misc]taylor: Taking taylor expansion of -1/2 in eps * [misc]backup-simplify: Simplify -1/2 into -1/2 * [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 (/ -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (sin (/ -1/2 eps)) into (sin (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) in eps * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (/ 1 eps)) (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 eps)) (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 eps)) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (sin (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) into (sin (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 eps)) (sin (- (+ (* 1/2 (/ 1 eps)) (/ 1 x))))) into (* (sin (/ -1/2 eps)) (sin (- (+ (* 1/2 (/ 1 eps)) (/ 1 x))))) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 eps)) (sin (- (+ (* 1/2 (/ 1 eps)) (/ 1 x))))) into (* (sin (/ -1/2 eps)) (sin (- (+ (* 1/2 (/ 1 eps)) (/ 1 x))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 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 (- (/ 0 2) (+ (* (/ -1/2 eps) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 eps)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) 0) (* 0 (sin (/ -1/2 eps)))) 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 (+ (* (sin (/ -1/2 eps)) 0) (* 0 (sin (- (+ (* 1/2 (/ 1 eps)) (/ 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 (/ -1/2 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 2) (+ (* (/ -1/2 eps) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 eps)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) 0) (+ (* 0 0) (* 0 (sin (/ -1/2 eps))))) 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 (/ -1/2 eps)) 0) (+ (* 0 0) (* 0 (sin (- (+ (* 1/2 (/ 1 eps)) (/ 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 (/ -1/2 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 (- (/ 0 2) (+ (* (/ -1/2 eps) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 eps)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1/2 eps)))))) 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 (* (sin (/ -1/2 (/ 1 (- eps)))) (sin (- (+ (* 1/2 (/ 1 (/ 1 (- eps)))) (/ 1 (/ 1 (- x))))))) into (* (sin (+ x (* 1/2 eps))) (sin (* 1/2 eps))) * * * * [misc]progress: [ 3 / 3 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* -2 (* (sin (+ x (* 1/2 eps))) (sin (/ eps 2)))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (* -2 (* (sin (+ x (* 1/2 eps))) (sin (/ eps 2)))) in eps * [misc]taylor: Taking taylor expansion of -2 in eps * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* (sin (+ x (* 1/2 eps))) (sin (/ eps 2))) in eps * [misc]taylor: Taking taylor expansion of (sin (+ x (* 1/2 eps))) in eps * [misc]taylor: Taking taylor expansion of (+ x (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ x 0) 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 2)) in eps * [misc]taylor: Taking taylor expansion of (/ eps 2) 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 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (* -2 (* (sin (+ x (* 1/2 eps))) (sin (/ eps 2)))) in x * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* (sin (+ x (* 1/2 eps))) (sin (/ eps 2))) in x * [misc]taylor: Taking taylor expansion of (sin (+ x (* 1/2 eps))) in x * [misc]taylor: Taking taylor expansion of (+ x (* 1/2 eps)) 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 (* 1/2 eps) 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 eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (* 1/2 eps) into (* 1/2 eps) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 eps)) into (* 1/2 eps) * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ eps 2)) in x * [misc]taylor: Taking taylor expansion of (/ eps 2) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ eps 2) into (* 1/2 eps) * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]taylor: Taking taylor expansion of (* -2 (* (sin (+ x (* 1/2 eps))) (sin (/ eps 2)))) in x * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* (sin (+ x (* 1/2 eps))) (sin (/ eps 2))) in x * [misc]taylor: Taking taylor expansion of (sin (+ x (* 1/2 eps))) in x * [misc]taylor: Taking taylor expansion of (+ x (* 1/2 eps)) 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 (* 1/2 eps) 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 eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (* 1/2 eps) into (* 1/2 eps) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 eps)) into (* 1/2 eps) * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ eps 2)) in x * [misc]taylor: Taking taylor expansion of (/ eps 2) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ eps 2) into (* 1/2 eps) * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 eps)) 1) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (* 1/2 eps)) 0) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 eps)) 1) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (* 1/2 eps)) 0) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 eps)) (sin (* 1/2 eps))) into (pow (sin (* 1/2 eps)) 2) * [misc]backup-simplify: Simplify (* -2 (pow (sin (* 1/2 eps)) 2)) into (* -2 (pow (sin (* 1/2 eps)) 2)) * [misc]taylor: Taking taylor expansion of (* -2 (pow (sin (* 1/2 eps)) 2)) in eps * [misc]taylor: Taking taylor expansion of -2 in eps * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (pow (sin (* 1/2 eps)) 2) in eps * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (sin (* 1/2 eps))))) in eps * [misc]taylor: Taking taylor expansion of (* 2 (log (sin (* 1/2 eps)))) in eps * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (sin (* 1/2 eps))) in eps * [misc]taylor: Taking taylor expansion of (sin (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log eps)) (log 1/2)) into (+ (log 1/2) (log eps)) * [misc]backup-simplify: Simplify (* 2 (+ (log 1/2) (log eps))) into (* 2 (+ (log 1/2) (log eps))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log 1/2) (log eps)))) into (exp (* 2 (+ (log 1/2) (log eps)))) * [misc]backup-simplify: Simplify (* -2 (exp (* 2 (+ (log 1/2) (log eps))))) into (* -2 (exp (* 2 (+ (log 1/2) (log eps))))) * [misc]backup-simplify: Simplify (* -2 (exp (* 2 (+ (log 1/2) (log eps))))) into (* -2 (exp (* 2 (+ (log 1/2) (log eps))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 eps) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 eps)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 eps)) 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 (* 1/2 eps)) 1) (* 0 0)) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (+ 0 (cos (* 1/2 eps))) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 eps)) 0) (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) into (* (cos (* 1/2 eps)) (sin (* 1/2 eps))) * [misc]backup-simplify: Simplify (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* 0 (pow (sin (* 1/2 eps)) 2))) into (- (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) * [misc]taylor: Taking taylor expansion of (- (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) in eps * [misc]taylor: Taking taylor expansion of (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) in eps * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (cos (* 1/2 eps)) (sin (* 1/2 eps))) in eps * [misc]taylor: Taking taylor expansion of (cos (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]taylor: Taking taylor expansion of (sin (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log eps)) (log 1/2)) into (+ (log 1/2) (log eps)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log 1/2) (log eps)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log 1/2) (log eps)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (exp (* 2 (+ (log 1/2) (log 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 (* 1/2 eps)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 eps) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 eps)) 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 (+ (* (sin (* 1/2 eps)) (- 1/2)) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (sin (* 1/2 eps)))) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 eps))) 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 (+ (* (cos (* 1/2 eps)) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/2 (sin (* 1/2 eps)))) 0) into (- (* 1/2 (sin (* 1/2 eps)))) * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 eps)) 0) (+ (* (cos (* 1/2 eps)) 0) (* (- (* 1/2 (sin (* 1/2 eps)))) (sin (* 1/2 eps))))) into (- (* 1/2 (pow (sin (* 1/2 eps)) 2))) * [misc]backup-simplify: Simplify (+ (* -2 (- (* 1/2 (pow (sin (* 1/2 eps)) 2)))) (+ (* 0 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* 0 (pow (sin (* 1/2 eps)) 2)))) into (pow (sin (* 1/2 eps)) 2) * [misc]taylor: Taking taylor expansion of (pow (sin (* 1/2 eps)) 2) in eps * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (sin (* 1/2 eps))))) in eps * [misc]taylor: Taking taylor expansion of (* 2 (log (sin (* 1/2 eps)))) in eps * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (sin (* 1/2 eps))) in eps * [misc]taylor: Taking taylor expansion of (sin (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log eps)) (log 1/2)) into (+ (log 1/2) (log eps)) * [misc]backup-simplify: Simplify (* 2 (+ (log 1/2) (log eps))) into (* 2 (+ (log 1/2) (log eps))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log 1/2) (log eps)))) into (exp (* 2 (+ (log 1/2) (log eps)))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log 1/2) (log eps)))) into (exp (* 2 (+ (log 1/2) (log eps)))) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1/2) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (+ (* 2 1/2) (* 0 0)) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (* -1 (* eps x)) (+ (* (exp (* 2 (+ (log 1/2) (log eps)))) (pow (* 1 x) 2)) (* -2 (exp (* 2 (+ (log 1/2) (log eps))))))) into (- (* (exp (* 2 (+ (log 1/2) (log eps)))) (pow x 2)) (+ (* x eps) (* 2 (exp (* 2 (+ (log 1/2) (log eps))))))) * [misc]approximate: Taking taylor expansion of (* -2 (* (sin (+ (/ 1 x) (* 1/2 (/ 1 eps)))) (sin (/ (/ 1 eps) 2)))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (* -2 (* (sin (+ (/ 1 x) (* 1/2 (/ 1 eps)))) (sin (/ (/ 1 eps) 2)))) in eps * [misc]taylor: Taking taylor expansion of -2 in eps * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* (sin (+ (/ 1 x) (* 1/2 (/ 1 eps)))) (sin (/ (/ 1 eps) 2))) in eps * [misc]taylor: Taking taylor expansion of (sin (+ (/ 1 x) (* 1/2 (/ 1 eps)))) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (* 1/2 (/ 1 eps))) 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]taylor: Taking taylor expansion of (* 1/2 (/ 1 eps)) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (sin (+ (/ 1 x) (* 1/2 (/ 1 eps)))) into (sin (+ (* 1/2 (/ 1 eps)) (/ 1 x))) * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 eps) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (/ 1 eps) 2) 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 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 eps) 2)) into (sin (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (* -2 (* (sin (+ (/ 1 x) (* 1/2 (/ 1 eps)))) (sin (/ (/ 1 eps) 2)))) in x * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* (sin (+ (/ 1 x) (* 1/2 (/ 1 eps)))) (sin (/ (/ 1 eps) 2))) in x * [misc]taylor: Taking taylor expansion of (sin (+ (/ 1 x) (* 1/2 (/ 1 eps)))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (* 1/2 (/ 1 eps))) 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]taylor: Taking taylor expansion of (* 1/2 (/ 1 eps)) 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 (/ 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sin (+ (/ 1 x) (* 1/2 (/ 1 eps)))) into (sin (+ (* 1/2 (/ 1 eps)) (/ 1 x))) * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 eps) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 eps) 2) 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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 eps) 2) into (/ 1/2 eps) * [misc]backup-simplify: Simplify (sin (/ 1/2 eps)) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ 1/2 eps)) into (cos (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (* -2 (* (sin (+ (/ 1 x) (* 1/2 (/ 1 eps)))) (sin (/ (/ 1 eps) 2)))) in x * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* (sin (+ (/ 1 x) (* 1/2 (/ 1 eps)))) (sin (/ (/ 1 eps) 2))) in x * [misc]taylor: Taking taylor expansion of (sin (+ (/ 1 x) (* 1/2 (/ 1 eps)))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (* 1/2 (/ 1 eps))) 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]taylor: Taking taylor expansion of (* 1/2 (/ 1 eps)) 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 (/ 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sin (+ (/ 1 x) (* 1/2 (/ 1 eps)))) into (sin (+ (* 1/2 (/ 1 eps)) (/ 1 x))) * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 eps) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 eps) 2) 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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 eps) 2) into (/ 1/2 eps) * [misc]backup-simplify: Simplify (sin (/ 1/2 eps)) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ 1/2 eps)) into (cos (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 eps)) 1) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1/2 eps)) 0) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (+ (* 1/2 (/ 1 eps)) (/ 1 x))) (sin (/ 1/2 eps))) into (* (sin (/ 1/2 eps)) (sin (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) * [misc]backup-simplify: Simplify (* -2 (* (sin (/ 1/2 eps)) (sin (+ (* 1/2 (/ 1 eps)) (/ 1 x))))) into (* -2 (* (sin (/ 1/2 eps)) (sin (+ (* 1/2 (/ 1 eps)) (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (* -2 (* (sin (/ 1/2 eps)) (sin (+ (* 1/2 (/ 1 eps)) (/ 1 x))))) in eps * [misc]taylor: Taking taylor expansion of -2 in eps * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* (sin (/ 1/2 eps)) (sin (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (/ 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (sin (/ 1/2 eps)) into (sin (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (+ (* 1/2 (/ 1 eps)) (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 eps)) (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 eps)) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (sin (+ (* 1/2 (/ 1 eps)) (/ 1 x))) into (sin (+ (* 1/2 (/ 1 eps)) (/ 1 x))) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 eps)) (sin (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) into (* (sin (+ (* 1/2 (/ 1 eps)) (/ 1 x))) (sin (/ 1/2 eps))) * [misc]backup-simplify: Simplify (* -2 (* (sin (+ (* 1/2 (/ 1 eps)) (/ 1 x))) (sin (/ 1/2 eps)))) into (* -2 (* (sin (+ (* 1/2 (/ 1 eps)) (/ 1 x))) (sin (/ 1/2 eps)))) * [misc]backup-simplify: Simplify (* -2 (* (sin (+ (* 1/2 (/ 1 eps)) (/ 1 x))) (sin (/ 1/2 eps)))) into (* -2 (* (sin (+ (* 1/2 (/ 1 eps)) (/ 1 x))) (sin (/ 1/2 eps)))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 eps) (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 eps) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 eps)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (+ (* 1/2 (/ 1 eps)) (/ 1 x))) 0) (* 0 (sin (/ 1/2 eps)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (* (sin (/ 1/2 eps)) (sin (+ (* 1/2 (/ 1 eps)) (/ 1 x)))))) 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 (+ (* (sin (/ 1/2 eps)) 0) (* 0 (sin (+ (* 1/2 (/ 1 eps)) (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (* (sin (+ (* 1/2 (/ 1 eps)) (/ 1 x))) (sin (/ 1/2 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 (/ 1/2 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 2) (+ (* (/ 1/2 eps) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 eps)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (+ (* 1/2 (/ 1 eps)) (/ 1 x))) 0) (+ (* 0 0) (* 0 (sin (/ 1/2 eps))))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (* (sin (/ 1/2 eps)) (sin (+ (* 1/2 (/ 1 eps)) (/ 1 x))))))) 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 (/ 1/2 eps)) 0) (+ (* 0 0) (* 0 (sin (+ (* 1/2 (/ 1 eps)) (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (* (sin (+ (* 1/2 (/ 1 eps)) (/ 1 x))) (sin (/ 1/2 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 (/ 1/2 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 (- (/ 0 2) (+ (* (/ 1/2 eps) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 eps)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (+ (* 1/2 (/ 1 eps)) (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1/2 eps)))))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sin (/ 1/2 eps)) (sin (+ (* 1/2 (/ 1 eps)) (/ 1 x)))))))) 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 (* -2 (* (sin (+ (* 1/2 (/ 1 (/ 1 eps))) (/ 1 (/ 1 x)))) (sin (/ 1/2 (/ 1 eps))))) into (* -2 (* (sin (+ x (* 1/2 eps))) (sin (* 1/2 eps)))) * [misc]approximate: Taking taylor expansion of (* -2 (* (sin (+ (/ 1 (- x)) (* 1/2 (/ 1 (- eps))))) (sin (/ (/ 1 (- eps)) 2)))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (* -2 (* (sin (+ (/ 1 (- x)) (* 1/2 (/ 1 (- eps))))) (sin (/ (/ 1 (- eps)) 2)))) in eps * [misc]taylor: Taking taylor expansion of -2 in eps * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* (sin (+ (/ 1 (- x)) (* 1/2 (/ 1 (- eps))))) (sin (/ (/ 1 (- eps)) 2))) in eps * [misc]taylor: Taking taylor expansion of (sin (+ (/ 1 (- x)) (* 1/2 (/ 1 (- eps))))) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (* 1/2 (/ 1 (- eps)))) 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]taylor: Taking taylor expansion of (* 1/2 (/ 1 (- eps))) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (* 1/2 -1) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (sin (+ (/ 1 (- x)) (* 1/2 (/ 1 (- eps))))) into (sin (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 (- eps)) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- eps)) 2) 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 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 (- eps)) 2)) into (sin (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (* -2 (* (sin (+ (/ 1 (- x)) (* 1/2 (/ 1 (- eps))))) (sin (/ (/ 1 (- eps)) 2)))) in x * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* (sin (+ (/ 1 (- x)) (* 1/2 (/ 1 (- eps))))) (sin (/ (/ 1 (- eps)) 2))) in x * [misc]taylor: Taking taylor expansion of (sin (+ (/ 1 (- x)) (* 1/2 (/ 1 (- eps))))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (* 1/2 (/ 1 (- eps)))) 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]taylor: Taking taylor expansion of (* 1/2 (/ 1 (- eps))) 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 (/ 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 (+ -1 0) into -1 * [misc]backup-simplify: Simplify (sin (+ (/ 1 (- x)) (* 1/2 (/ 1 (- eps))))) into (sin (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 (- eps)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- eps)) 2) 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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 eps) 2) into (/ -1/2 eps) * [misc]backup-simplify: Simplify (sin (/ -1/2 eps)) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ -1/2 eps)) into (cos (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (* -2 (* (sin (+ (/ 1 (- x)) (* 1/2 (/ 1 (- eps))))) (sin (/ (/ 1 (- eps)) 2)))) in x * [misc]taylor: Taking taylor expansion of -2 in x * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* (sin (+ (/ 1 (- x)) (* 1/2 (/ 1 (- eps))))) (sin (/ (/ 1 (- eps)) 2))) in x * [misc]taylor: Taking taylor expansion of (sin (+ (/ 1 (- x)) (* 1/2 (/ 1 (- eps))))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (* 1/2 (/ 1 (- eps)))) 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]taylor: Taking taylor expansion of (* 1/2 (/ 1 (- eps))) 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 (/ 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 (+ -1 0) into -1 * [misc]backup-simplify: Simplify (sin (+ (/ 1 (- x)) (* 1/2 (/ 1 (- eps))))) into (sin (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 (- eps)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- eps)) 2) 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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 eps) 2) into (/ -1/2 eps) * [misc]backup-simplify: Simplify (sin (/ -1/2 eps)) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ -1/2 eps)) into (cos (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 eps)) 1) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1/2 eps)) 0) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) (sin (/ -1/2 eps))) into (* (sin (/ -1/2 eps)) (sin (- (+ (* 1/2 (/ 1 eps)) (/ 1 x))))) * [misc]backup-simplify: Simplify (* -2 (* (sin (/ -1/2 eps)) (sin (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))))) into (* -2 (* (sin (/ -1/2 eps)) (sin (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))))) * [misc]taylor: Taking taylor expansion of (* -2 (* (sin (/ -1/2 eps)) (sin (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))))) in eps * [misc]taylor: Taking taylor expansion of -2 in eps * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* (sin (/ -1/2 eps)) (sin (- (+ (* 1/2 (/ 1 eps)) (/ 1 x))))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ -1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (/ -1/2 eps) in eps * [misc]taylor: Taking taylor expansion of -1/2 in eps * [misc]backup-simplify: Simplify -1/2 into -1/2 * [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 (/ -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (sin (/ -1/2 eps)) into (sin (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) in eps * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (/ 1 eps)) (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 eps)) (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 eps)) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (sin (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) into (sin (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 eps)) (sin (- (+ (* 1/2 (/ 1 eps)) (/ 1 x))))) into (* (sin (/ -1/2 eps)) (sin (- (+ (* 1/2 (/ 1 eps)) (/ 1 x))))) * [misc]backup-simplify: Simplify (* -2 (* (sin (/ -1/2 eps)) (sin (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))))) into (* -2 (* (sin (/ -1/2 eps)) (sin (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))))) * [misc]backup-simplify: Simplify (* -2 (* (sin (/ -1/2 eps)) (sin (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))))) into (* -2 (* (sin (/ -1/2 eps)) (sin (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 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 (- (/ 0 2) (+ (* (/ -1/2 eps) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 eps)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) 0) (* 0 (sin (/ -1/2 eps)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (* (sin (/ -1/2 eps)) (sin (- (+ (* 1/2 (/ 1 eps)) (/ 1 x))))))) 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 (+ (* (sin (/ -1/2 eps)) 0) (* 0 (sin (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (* (sin (/ -1/2 eps)) (sin (- (+ (* 1/2 (/ 1 eps)) (/ 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 (/ -1/2 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 2) (+ (* (/ -1/2 eps) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 eps)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) 0) (+ (* 0 0) (* 0 (sin (/ -1/2 eps))))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (* (sin (/ -1/2 eps)) (sin (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))))))) 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 (/ -1/2 eps)) 0) (+ (* 0 0) (* 0 (sin (- (+ (* 1/2 (/ 1 eps)) (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (* (sin (/ -1/2 eps)) (sin (- (+ (* 1/2 (/ 1 eps)) (/ 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 (/ -1/2 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 (- (/ 0 2) (+ (* (/ -1/2 eps) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 eps)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1/2 eps)))))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sin (/ -1/2 eps)) (sin (- (+ (* 1/2 (/ 1 eps)) (/ 1 x))))))))) 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 (* -2 (* (sin (/ -1/2 (/ 1 (- eps)))) (sin (- (+ (* 1/2 (/ 1 (/ 1 (- eps)))) (/ 1 (/ 1 (- x)))))))) into (* -2 (* (sin (+ x (* 1/2 eps))) (sin (* 1/2 eps)))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin x) (cos (* 1/2 eps))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (* (cos (* 1/2 eps)) (sin x)) * [exit]simplify: Simplified to (* (cos (* 1/2 eps)) (sin x)) * [enter]simplify: Simplifying (* (cos x) (sin (* 1/2 eps))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (* (sin (* 1/2 eps)) (cos x)) * [exit]simplify: Simplified to (* (sin (* 1/2 eps)) (cos x)) * * * * [misc]progress: [ 2 / 45 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sin (+ x (* 1/2 eps)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (log (sin (+ (* eps 1/2) x))) * [exit]simplify: Simplified to (log (sin (+ (* eps 1/2) x))) * * * * [misc]progress: [ 4 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sin (+ x (* 1/2 eps)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (exp (sin (+ (* eps 1/2) x))) * [exit]simplify: Simplified to (exp (sin (+ (* eps 1/2) x))) * * * * [misc]progress: [ 5 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sin (+ x (* 1/2 eps)))) (cbrt (sin (+ x (* 1/2 eps))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (sin (+ (* eps 1/2) x))) (cbrt (sin (+ (* eps 1/2) x)))) * [exit]simplify: Simplified to (* (cbrt (sin (+ (* eps 1/2) x))) (cbrt (sin (+ (* eps 1/2) x)))) * [enter]simplify: Simplifying (cbrt (sin (+ x (* 1/2 eps)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (cbrt (sin (+ (* eps 1/2) x))) * [exit]simplify: Simplified to (cbrt (sin (+ (* eps 1/2) x))) * * * * [misc]progress: [ 6 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sin (+ x (* 1/2 eps))) (sin (+ x (* 1/2 eps)))) (sin (+ x (* 1/2 eps)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (pow (sin (+ (* eps 1/2) x)) 3) * [exit]simplify: Simplified to (pow (sin (+ (* eps 1/2) x)) 3) * * * * [misc]progress: [ 7 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sin (+ x (* 1/2 eps)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (sin (+ (* eps 1/2) x))) * [exit]simplify: Simplified to (sqrt (sin (+ (* eps 1/2) x))) * [enter]simplify: Simplifying (sqrt (sin (+ x (* 1/2 eps)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (sin (+ (* eps 1/2) x))) * [exit]simplify: Simplified to (sqrt (sin (+ (* eps 1/2) x))) * * * * [misc]progress: [ 8 / 45 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (- (cos (- (+ x (* 1/2 eps)) (/ eps 2))) (cos (+ (+ x (* 1/2 eps)) (/ eps 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (- (cos (- (* eps 1/2) (- (/ eps 2) x))) (cos (+ (+ x (/ eps 2)) (* eps 1/2)))) * [exit]simplify: Simplified to (- (cos (- (* eps 1/2) (- (/ eps 2) x))) (cos (+ (+ x (/ eps 2)) (* eps 1/2)))) * * * * [misc]progress: [ 10 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (+ x (* 1/2 eps))) (sin (/ eps 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (* (sin (/ eps 2)) (sin (+ (* eps 1/2) x))) * [exit]simplify: Simplified to (* (sin (/ eps 2)) (sin (+ (* eps 1/2) x))) * * * * [misc]progress: [ 11 / 45 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sin (+ x (* 1/2 eps)))) (log (sin (/ eps 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (+ (log (sin (/ eps 2))) (log (sin (+ (* eps 1/2) x)))) * [exit]simplify: Simplified to (+ (log (sin (/ eps 2))) (log (sin (+ (* eps 1/2) x)))) * * * * [misc]progress: [ 13 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (sin (+ x (* 1/2 eps))) (sin (/ eps 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (log (* (sin (/ eps 2)) (sin (+ (* eps 1/2) x)))) * [exit]simplify: Simplified to (log (* (sin (/ eps 2)) (sin (+ (* eps 1/2) x)))) * * * * [misc]progress: [ 14 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (sin (+ x (* 1/2 eps))) (sin (/ eps 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (exp (* (sin (/ eps 2)) (sin (+ (* eps 1/2) x)))) * [exit]simplify: Simplified to (exp (* (sin (/ eps 2)) (sin (+ (* eps 1/2) x)))) * * * * [misc]progress: [ 15 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sin (+ x (* 1/2 eps))) (sin (+ x (* 1/2 eps)))) (sin (+ x (* 1/2 eps)))) (* (* (sin (/ eps 2)) (sin (/ eps 2))) (sin (/ eps 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (pow (* (sin (+ (* eps 1/2) x)) (sin (/ eps 2))) 3) * [exit]simplify: Simplified to (pow (* (sin (+ (* eps 1/2) x)) (sin (/ eps 2))) 3) * * * * [misc]progress: [ 16 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sin (+ x (* 1/2 eps))) (sin (/ eps 2)))) (cbrt (* (sin (+ x (* 1/2 eps))) (sin (/ eps 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sin (/ eps 2)) (sin (+ (* eps 1/2) x)))) (cbrt (* (sin (/ eps 2)) (sin (+ (* eps 1/2) x))))) * [exit]simplify: Simplified to (* (cbrt (* (sin (/ eps 2)) (sin (+ (* eps 1/2) x)))) (cbrt (* (sin (/ eps 2)) (sin (+ (* eps 1/2) x))))) * [enter]simplify: Simplifying (cbrt (* (sin (+ x (* 1/2 eps))) (sin (/ eps 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (cbrt (* (sin (/ eps 2)) (sin (+ (* eps 1/2) x)))) * [exit]simplify: Simplified to (cbrt (* (sin (/ eps 2)) (sin (+ (* eps 1/2) x)))) * * * * [misc]progress: [ 17 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sin (+ x (* 1/2 eps))) (sin (/ eps 2))) (* (sin (+ x (* 1/2 eps))) (sin (/ eps 2)))) (* (sin (+ x (* 1/2 eps))) (sin (/ eps 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (pow (* (sin (/ eps 2)) (sin (+ (* eps 1/2) x))) 3) * [exit]simplify: Simplified to (pow (* (sin (/ eps 2)) (sin (+ (* eps 1/2) x))) 3) * * * * [misc]progress: [ 18 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (sin (+ x (* 1/2 eps))) (sin (/ eps 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (sqrt (* (sin (/ eps 2)) (sin (+ (* eps 1/2) x)))) * [exit]simplify: Simplified to (sqrt (* (sin (/ eps 2)) (sin (+ (* eps 1/2) x)))) * [enter]simplify: Simplifying (sqrt (* (sin (+ x (* 1/2 eps))) (sin (/ eps 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (sqrt (* (sin (/ eps 2)) (sin (+ (* eps 1/2) x)))) * [exit]simplify: Simplified to (sqrt (* (sin (/ eps 2)) (sin (+ (* eps 1/2) x)))) * * * * [misc]progress: [ 19 / 45 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (+ x (* 1/2 eps))) (* (cbrt (sin (/ eps 2))) (cbrt (sin (/ eps 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (* (sin (+ (* eps 1/2) x)) (* (cbrt (sin (/ eps 2))) (cbrt (sin (/ eps 2))))) * [exit]simplify: Simplified to (* (sin (+ (* eps 1/2) x)) (* (cbrt (sin (/ eps 2))) (cbrt (sin (/ eps 2))))) * * * * [misc]progress: [ 21 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (+ x (* 1/2 eps))) (sqrt (sin (/ eps 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (* (sqrt (sin (/ eps 2))) (sin (+ (* eps 1/2) x))) * [exit]simplify: Simplified to (* (sqrt (sin (/ eps 2))) (sin (+ (* eps 1/2) x))) * * * * [misc]progress: [ 22 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (+ x (* 1/2 eps))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (sin (+ (* eps 1/2) x)) * [exit]simplify: Simplified to (sin (+ (* eps 1/2) x)) * * * * [misc]progress: [ 23 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sin (+ x (* 1/2 eps)))) (sin (/ eps 2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (* (sin (/ eps 2)) (cbrt (sin (+ (* eps 1/2) x)))) * [exit]simplify: Simplified to (* (sin (/ eps 2)) (cbrt (sin (+ (* eps 1/2) x)))) * * * * [misc]progress: [ 24 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sin (+ x (* 1/2 eps)))) (sin (/ eps 2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (* (sin (/ eps 2)) (sqrt (sin (+ (* eps 1/2) x)))) * [exit]simplify: Simplified to (* (sin (/ eps 2)) (sqrt (sin (+ (* eps 1/2) x)))) * * * * [misc]progress: [ 25 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (+ x (* 1/2 eps))) (sin (/ eps 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (* (sin (/ eps 2)) (sin (+ (* eps 1/2) x))) * [exit]simplify: Simplified to (* (sin (/ eps 2)) (sin (+ (* eps 1/2) x))) * * * * [misc]progress: [ 26 / 45 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 45 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* -2 (* (sin (+ x (* 1/2 eps))) (sin (/ eps 2))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * [exit]simplify: Simplified to (log (* (sin (+ x (* 1/2 eps))) (* (sin (/ eps 2)) -2))) * [exit]simplify: Simplified to (log (* (sin (+ x (* 1/2 eps))) (* (sin (/ eps 2)) -2))) * * * * [misc]progress: [ 29 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* -2 (* (sin (+ x (* 1/2 eps))) (sin (/ eps 2))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (exp (* (sin (+ x (* 1/2 eps))) (* (sin (/ eps 2)) -2))) * [exit]simplify: Simplified to (exp (* (sin (+ x (* 1/2 eps))) (* (sin (/ eps 2)) -2))) * * * * [misc]progress: [ 30 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* -2 (* (sin (+ x (* 1/2 eps))) (sin (/ eps 2))))) (cbrt (* -2 (* (sin (+ x (* 1/2 eps))) (sin (/ eps 2)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sin (+ x (* 1/2 eps))) (* (sin (/ eps 2)) -2))) (cbrt (* (sin (+ x (* 1/2 eps))) (* (sin (/ eps 2)) -2)))) * [exit]simplify: Simplified to (* (cbrt (* (sin (+ x (* 1/2 eps))) (* (sin (/ eps 2)) -2))) (cbrt (* (sin (+ x (* 1/2 eps))) (* (sin (/ eps 2)) -2)))) * [enter]simplify: Simplifying (cbrt (* -2 (* (sin (+ x (* 1/2 eps))) (sin (/ eps 2))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (cbrt (* (sin (+ x (* 1/2 eps))) (* (sin (/ eps 2)) -2))) * [exit]simplify: Simplified to (cbrt (* (sin (+ x (* 1/2 eps))) (* (sin (/ eps 2)) -2))) * * * * [misc]progress: [ 31 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* -2 (* (sin (+ x (* 1/2 eps))) (sin (/ eps 2)))) (* -2 (* (sin (+ x (* 1/2 eps))) (sin (/ eps 2))))) (* -2 (* (sin (+ x (* 1/2 eps))) (sin (/ eps 2))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (207 enodes) * [exit]simplify: Simplified to (pow (* (sin (+ x (* 1/2 eps))) (* (sin (/ eps 2)) -2)) 3) * [exit]simplify: Simplified to (pow (* (sin (+ x (* 1/2 eps))) (* (sin (/ eps 2)) -2)) 3) * * * * [misc]progress: [ 32 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* -2 (* (sin (+ x (* 1/2 eps))) (sin (/ eps 2))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (sqrt (* (sin (+ x (* 1/2 eps))) (* (sin (/ eps 2)) -2))) * [exit]simplify: Simplified to (sqrt (* (sin (+ x (* 1/2 eps))) (* (sin (/ eps 2)) -2))) * [enter]simplify: Simplifying (sqrt (* -2 (* (sin (+ x (* 1/2 eps))) (sin (/ eps 2))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (sqrt (* (sin (+ x (* 1/2 eps))) (* (sin (/ eps 2)) -2))) * [exit]simplify: Simplified to (sqrt (* (sin (+ x (* 1/2 eps))) (* (sin (/ eps 2)) -2))) * * * * [misc]progress: [ 33 / 45 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (sin (+ x (* 1/2 eps)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* -2 (sin (+ x (* 1/2 eps)))) * [exit]simplify: Simplified to (* -2 (sin (+ x (* 1/2 eps)))) * * * * [misc]progress: [ 35 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (- (cos (- (+ x (* 1/2 eps)) (/ eps 2))) (cos (+ (+ x (* 1/2 eps)) (/ eps 2))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (* (- (cos (+ (- x (/ eps 2)) (* 1/2 eps))) (cos (+ x (+ (/ eps 2) (* 1/2 eps))))) -2) * [exit]simplify: Simplified to (* (- (cos (+ (- x (/ eps 2)) (* 1/2 eps))) (cos (+ x (+ (/ eps 2) (* 1/2 eps))))) -2) * * * * [misc]progress: [ 36 / 45 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (* (- (+ x (* 1/2 eps)) (* 1/6 (pow x 3))) (sin (/ eps 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (264 enodes) * [exit]simplify: Simplified to (* (* (sin (/ eps 2)) -2) (- (+ x (* 1/2 eps)) (* (* 1/6 x) (* x x)))) * * * * [misc]progress: [ 38 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (* (sin (+ x (* 1/2 eps))) (sin (/ eps 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (* (* (sin (/ eps 2)) -2) (sin (+ x (* 1/2 eps)))) * * * * [misc]progress: [ 39 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (* (sin (+ x (* 1/2 eps))) (sin (/ eps 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (* (* (sin (/ eps 2)) -2) (sin (+ x (* 1/2 eps)))) * * * * [misc]progress: [ 40 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (- (+ (* 1/2 (* x eps)) (exp (* 2 (+ (log 1/2) (log eps))))) (* 1/2 (* (exp (* 2 (+ (log 1/2) (log eps)))) (pow x 2))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (268 enodes) * [exit]simplify: Simplified to (* -2 (- (+ (* eps (* x 1/2)) (* (* eps 1/2) (* eps 1/2))) (* (* (* eps 1/2) (* eps 1/2)) (* (* x 1/2) x)))) * * * * [misc]progress: [ 41 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (* (sin (+ x (* 1/2 eps))) (sin (* 1/2 eps)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (* (sin (+ x (* 1/2 eps))) (* (sin (* 1/2 eps)) -2)) * * * * [misc]progress: [ 42 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (* (sin (+ x (* 1/2 eps))) (sin (* 1/2 eps)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (* (sin (+ x (* 1/2 eps))) (* (sin (* 1/2 eps)) -2)) * * * * [misc]progress: [ 43 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (exp (* 2 (+ (log 1/2) (log eps)))) (pow x 2)) (+ (* x eps) (* 2 (exp (* 2 (+ (log 1/2) (log eps))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (298 enodes) * [exit]simplify: Simplified to (- (* (- (* x x) 2) (* (* eps 1/2) (* eps 1/2))) (* x eps)) * * * * [misc]progress: [ 44 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (* (sin (+ x (* 1/2 eps))) (sin (* 1/2 eps)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (* (sin (+ x (* 1/2 eps))) (* (sin (* 1/2 eps)) -2)) * * * * [misc]progress: [ 45 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (* (sin (+ x (* 1/2 eps))) (sin (* 1/2 eps)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (* (sin (+ x (* 1/2 eps))) (* (sin (* 1/2 eps)) -2)) * * * [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) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (* (+ (* (sin x) (cos (* 1/2 eps))) (* (cos x) (sin (* 1/2 eps)))) (sin (/ eps 2))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (* (+ (* (sin x) (cos (* 1/2 eps))) (* (cos x) (sin (* 1/2 eps)))) (sin (/ eps 2))) in eps * [misc]taylor: Taking taylor expansion of (+ (* (sin x) (cos (* 1/2 eps))) (* (cos x) (sin (* 1/2 eps)))) in eps * [misc]taylor: Taking taylor expansion of (* (sin x) (cos (* 1/2 eps))) 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 (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]taylor: Taking taylor expansion of (* (cos x) (sin (* 1/2 eps))) in eps * [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 (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]taylor: Taking taylor expansion of (sin (/ eps 2)) in eps * [misc]taylor: Taking taylor expansion of (/ eps 2) 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 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (* (+ (* (sin x) (cos (* 1/2 eps))) (* (cos x) (sin (* 1/2 eps)))) (sin (/ eps 2))) in x * [misc]taylor: Taking taylor expansion of (+ (* (sin x) (cos (* 1/2 eps))) (* (cos x) (sin (* 1/2 eps)))) in x * [misc]taylor: Taking taylor expansion of (* (sin x) (cos (* 1/2 eps))) 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 (* 1/2 eps)) in x * [misc]taylor: Taking taylor expansion of (* 1/2 eps) 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 eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (* 1/2 eps) into (* 1/2 eps) * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]taylor: Taking taylor expansion of (* (cos x) (sin (* 1/2 eps))) in 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]taylor: Taking taylor expansion of (sin (* 1/2 eps)) in x * [misc]taylor: Taking taylor expansion of (* 1/2 eps) 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 eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (* 1/2 eps) into (* 1/2 eps) * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ eps 2)) in x * [misc]taylor: Taking taylor expansion of (/ eps 2) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ eps 2) into (* 1/2 eps) * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]taylor: Taking taylor expansion of (* (+ (* (sin x) (cos (* 1/2 eps))) (* (cos x) (sin (* 1/2 eps)))) (sin (/ eps 2))) in x * [misc]taylor: Taking taylor expansion of (+ (* (sin x) (cos (* 1/2 eps))) (* (cos x) (sin (* 1/2 eps)))) in x * [misc]taylor: Taking taylor expansion of (* (sin x) (cos (* 1/2 eps))) 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 (* 1/2 eps)) in x * [misc]taylor: Taking taylor expansion of (* 1/2 eps) 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 eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (* 1/2 eps) into (* 1/2 eps) * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]taylor: Taking taylor expansion of (* (cos x) (sin (* 1/2 eps))) in 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]taylor: Taking taylor expansion of (sin (* 1/2 eps)) in x * [misc]taylor: Taking taylor expansion of (* 1/2 eps) 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 eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (* 1/2 eps) into (* 1/2 eps) * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ eps 2)) in x * [misc]taylor: Taking taylor expansion of (/ eps 2) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ eps 2) into (* 1/2 eps) * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 eps)) 1) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 eps)) 0) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (* 0 (cos (* 1/2 eps))) into 0 * [misc]backup-simplify: Simplify (* (sin (* 1/2 eps)) 1) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (* 1/2 eps)) 0) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (* 1 (sin (* 1/2 eps))) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (+ 0 (sin (* 1/2 eps))) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 eps)) 1) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (* 1/2 eps)) 0) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 eps)) (sin (* 1/2 eps))) into (pow (sin (* 1/2 eps)) 2) * [misc]taylor: Taking taylor expansion of (pow (sin (* 1/2 eps)) 2) in eps * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (sin (* 1/2 eps))))) in eps * [misc]taylor: Taking taylor expansion of (* 2 (log (sin (* 1/2 eps)))) in eps * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (sin (* 1/2 eps))) in eps * [misc]taylor: Taking taylor expansion of (sin (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log eps)) (log 1/2)) into (+ (log 1/2) (log eps)) * [misc]backup-simplify: Simplify (* 2 (+ (log 1/2) (log eps))) into (* 2 (+ (log 1/2) (log eps))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log 1/2) (log eps)))) into (exp (* 2 (+ (log 1/2) (log eps)))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log 1/2) (log eps)))) into (exp (* 2 (+ (log 1/2) (log eps)))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 eps) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 eps)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 eps)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 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 (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (cos (* 1/2 eps)))) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 eps)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 eps)) 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 (* 1/2 eps)))) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 eps)) 0) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 eps)) 0) (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) into (* (cos (* 1/2 eps)) (sin (* 1/2 eps))) * [misc]taylor: Taking taylor expansion of (* (cos (* 1/2 eps)) (sin (* 1/2 eps))) in eps * [misc]taylor: Taking taylor expansion of (cos (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]taylor: Taking taylor expansion of (sin (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log eps)) (log 1/2)) into (+ (log 1/2) (log eps)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log 1/2) (log eps)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log 1/2) (log eps)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 eps)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 eps) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 eps)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 eps)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 eps))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 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 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (* 1/2 eps))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 eps)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 eps))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 eps)) 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 (* 1/2 eps))))) into (- (* 1/2 (sin (* 1/2 eps)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 eps))))) into (- (* 1/2 (sin (* 1/2 eps)))) * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 eps)) 0) (+ (* (cos (* 1/2 eps)) 0) (* (- (* 1/2 (sin (* 1/2 eps)))) (sin (* 1/2 eps))))) into (- (* 1/2 (pow (sin (* 1/2 eps)) 2))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (pow (sin (* 1/2 eps)) 2))) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 (pow (sin (* 1/2 eps)) 2)) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow (sin (* 1/2 eps)) 2) in eps * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (sin (* 1/2 eps))))) in eps * [misc]taylor: Taking taylor expansion of (* 2 (log (sin (* 1/2 eps)))) in eps * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (sin (* 1/2 eps))) in eps * [misc]taylor: Taking taylor expansion of (sin (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log eps)) (log 1/2)) into (+ (log 1/2) (log eps)) * [misc]backup-simplify: Simplify (* 2 (+ (log 1/2) (log eps))) into (* 2 (+ (log 1/2) (log eps))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log 1/2) (log eps)))) into (exp (* 2 (+ (log 1/2) (log eps)))) * [misc]backup-simplify: Simplify (* 1/2 (exp (* 2 (+ (log 1/2) (log eps))))) into (* 1/2 (exp (* 2 (+ (log 1/2) (log eps))))) * [misc]backup-simplify: Simplify (- (* 1/2 (exp (* 2 (+ (log 1/2) (log eps)))))) into (- (* 1/2 (exp (* 2 (+ (log 1/2) (log eps)))))) * [misc]backup-simplify: Simplify (- (* 1/2 (exp (* 2 (+ (log 1/2) (log eps)))))) into (- (* 1/2 (exp (* 2 (+ (log 1/2) (log eps)))))) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1/2) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 (* eps x)) (+ (* (- (* 1/2 (exp (* 2 (+ (log 1/2) (log eps)))))) (pow (* 1 x) 2)) (exp (* 2 (+ (log 1/2) (log eps)))))) into (- (+ (* 1/2 (* x eps)) (exp (* 2 (+ (log 1/2) (log eps))))) (* 1/2 (* (exp (* 2 (+ (log 1/2) (log eps)))) (pow x 2)))) * [misc]approximate: Taking taylor expansion of (* (+ (* (sin (/ 1 x)) (cos (* 1/2 (/ 1 eps)))) (* (cos (/ 1 x)) (sin (* 1/2 (/ 1 eps))))) (sin (/ (/ 1 eps) 2))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (* (+ (* (sin (/ 1 x)) (cos (* 1/2 (/ 1 eps)))) (* (cos (/ 1 x)) (sin (* 1/2 (/ 1 eps))))) (sin (/ (/ 1 eps) 2))) in eps * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 x)) (cos (* 1/2 (/ 1 eps)))) (* (cos (/ 1 x)) (sin (* 1/2 (/ 1 eps))))) in eps * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 x)) (cos (* 1/2 (/ 1 eps)))) 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 (* 1/2 (/ 1 eps))) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 eps)) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (cos (* 1/2 (/ 1 eps))) into (cos (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 x)) (sin (* 1/2 (/ 1 eps)))) in 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 (* 1/2 (/ 1 eps))) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 eps)) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (sin (* 1/2 (/ 1 eps))) into (sin (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 eps) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (/ 1 eps) 2) 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 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 eps) 2)) into (sin (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (* (+ (* (sin (/ 1 x)) (cos (* 1/2 (/ 1 eps)))) (* (cos (/ 1 x)) (sin (* 1/2 (/ 1 eps))))) (sin (/ (/ 1 eps) 2))) in x * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 x)) (cos (* 1/2 (/ 1 eps)))) (* (cos (/ 1 x)) (sin (* 1/2 (/ 1 eps))))) in x * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 x)) (cos (* 1/2 (/ 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 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 (* 1/2 (/ 1 eps))) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 eps)) 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 (/ 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 (* 1/2 (/ 1 eps)) into (/ 1/2 eps) * [misc]backup-simplify: Simplify (cos (/ 1/2 eps)) into (cos (/ 1/2 eps)) * [misc]backup-simplify: Simplify (sin (/ 1/2 eps)) into (sin (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 x)) (sin (* 1/2 (/ 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 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 (* 1/2 (/ 1 eps))) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 eps)) 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 (/ 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 (* 1/2 (/ 1 eps)) into (/ 1/2 eps) * [misc]backup-simplify: Simplify (sin (/ 1/2 eps)) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ 1/2 eps)) into (cos (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 eps) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 eps) 2) 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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 eps) 2) into (/ 1/2 eps) * [misc]backup-simplify: Simplify (sin (/ 1/2 eps)) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ 1/2 eps)) into (cos (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (* (+ (* (sin (/ 1 x)) (cos (* 1/2 (/ 1 eps)))) (* (cos (/ 1 x)) (sin (* 1/2 (/ 1 eps))))) (sin (/ (/ 1 eps) 2))) in x * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 x)) (cos (* 1/2 (/ 1 eps)))) (* (cos (/ 1 x)) (sin (* 1/2 (/ 1 eps))))) in x * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 x)) (cos (* 1/2 (/ 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 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 (* 1/2 (/ 1 eps))) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 eps)) 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 (/ 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 (* 1/2 (/ 1 eps)) into (/ 1/2 eps) * [misc]backup-simplify: Simplify (cos (/ 1/2 eps)) into (cos (/ 1/2 eps)) * [misc]backup-simplify: Simplify (sin (/ 1/2 eps)) into (sin (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 x)) (sin (* 1/2 (/ 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 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 (* 1/2 (/ 1 eps))) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 eps)) 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 (/ 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 (* 1/2 (/ 1 eps)) into (/ 1/2 eps) * [misc]backup-simplify: Simplify (sin (/ 1/2 eps)) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ 1/2 eps)) into (cos (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 eps) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 eps) 2) 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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 eps) 2) into (/ 1/2 eps) * [misc]backup-simplify: Simplify (sin (/ 1/2 eps)) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ 1/2 eps)) into (cos (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 eps)) 1) into (cos (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 eps)) 0) into (cos (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) (cos (/ 1/2 eps))) into (* (cos (/ 1/2 eps)) (sin (/ 1 x))) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 eps)) 1) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1/2 eps)) 0) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (/ 1 x)) (sin (/ 1/2 eps))) into (* (cos (/ 1 x)) (sin (/ 1/2 eps))) * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 eps)) (sin (/ 1 x))) (* (cos (/ 1 x)) (sin (/ 1/2 eps)))) into (+ (* (cos (/ 1 x)) (sin (/ 1/2 eps))) (* (cos (/ 1/2 eps)) (sin (/ 1 x)))) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 eps)) 1) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1/2 eps)) 0) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (+ (* (cos (/ 1 x)) (sin (/ 1/2 eps))) (* (cos (/ 1/2 eps)) (sin (/ 1 x)))) (sin (/ 1/2 eps))) into (* (+ (* (cos (/ 1 x)) (sin (/ 1/2 eps))) (* (cos (/ 1/2 eps)) (sin (/ 1 x)))) (sin (/ 1/2 eps))) * [misc]taylor: Taking taylor expansion of (* (+ (* (cos (/ 1 x)) (sin (/ 1/2 eps))) (* (cos (/ 1/2 eps)) (sin (/ 1 x)))) (sin (/ 1/2 eps))) in eps * [misc]taylor: Taking taylor expansion of (+ (* (cos (/ 1 x)) (sin (/ 1/2 eps))) (* (cos (/ 1/2 eps)) (sin (/ 1 x)))) in eps * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 x)) (sin (/ 1/2 eps))) in 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 (/ 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (/ 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (sin (/ 1/2 eps)) into (sin (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (* (cos (/ 1/2 eps)) (sin (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (/ 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (cos (/ 1/2 eps)) into (cos (/ 1/2 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 (/ 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (/ 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (sin (/ 1/2 eps)) into (sin (/ 1/2 eps)) * [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 (* (cos (/ 1 x)) (sin (/ 1/2 eps))) into (* (cos (/ 1 x)) (sin (/ 1/2 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 (/ 1/2 eps)) (sin (/ 1 x))) into (* (cos (/ 1/2 eps)) (sin (/ 1 x))) * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 x)) (sin (/ 1/2 eps))) (* (cos (/ 1/2 eps)) (sin (/ 1 x)))) into (+ (* (cos (/ 1 x)) (sin (/ 1/2 eps))) (* (cos (/ 1/2 eps)) (sin (/ 1 x)))) * [misc]backup-simplify: Simplify (* (+ (* (cos (/ 1 x)) (sin (/ 1/2 eps))) (* (cos (/ 1/2 eps)) (sin (/ 1 x)))) (sin (/ 1/2 eps))) into (* (+ (* (cos (/ 1 x)) (sin (/ 1/2 eps))) (* (cos (/ 1/2 eps)) (sin (/ 1 x)))) (sin (/ 1/2 eps))) * [misc]backup-simplify: Simplify (* (+ (* (cos (/ 1 x)) (sin (/ 1/2 eps))) (* (cos (/ 1/2 eps)) (sin (/ 1 x)))) (sin (/ 1/2 eps))) into (* (+ (* (cos (/ 1 x)) (sin (/ 1/2 eps))) (* (cos (/ 1/2 eps)) (sin (/ 1 x)))) (sin (/ 1/2 eps))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 eps) (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 eps) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 eps)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 eps) (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 eps))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 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 (/ 1/2 eps)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 eps) (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 eps))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 eps)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 (sin (/ 1/2 eps)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* (cos (/ 1 x)) (sin (/ 1/2 eps))) (* (cos (/ 1/2 eps)) (sin (/ 1 x)))) 0) (* 0 (sin (/ 1/2 eps)))) 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 (/ 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 (+ (* (cos (/ 1 x)) 0) (* 0 (sin (/ 1/2 eps)))) 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 (/ 1/2 eps)) 0) (* 0 (sin (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* (cos (/ 1 x)) (sin (/ 1/2 eps))) (* (cos (/ 1/2 eps)) (sin (/ 1 x)))) 0) (* 0 (sin (/ 1/2 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 (/ 1/2 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 2) (+ (* (/ 1/2 eps) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 eps)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 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 (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 eps)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 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 (/ 1/2 eps))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 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 (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 eps)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 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 (/ 1/2 eps))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* (cos (/ 1 x)) (sin (/ 1/2 eps))) (* (cos (/ 1/2 eps)) (sin (/ 1 x)))) 0) (+ (* 0 0) (* 0 (sin (/ 1/2 eps))))) 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 (+ (* (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 (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1/2 eps))))) 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 (/ 1/2 eps)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* (cos (/ 1 x)) (sin (/ 1/2 eps))) (* (cos (/ 1/2 eps)) (sin (/ 1 x)))) 0) (+ (* 0 0) (* 0 (sin (/ 1/2 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 (/ 1/2 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 (- (/ 0 2) (+ (* (/ 1/2 eps) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 eps)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 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 (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 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 (/ 1/2 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 (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 eps)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 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 (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 eps))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 eps)) 0) (+ (* 0 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 0) (* 0 (sin (/ 1/2 eps)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* (cos (/ 1 x)) (sin (/ 1/2 eps))) (* (cos (/ 1/2 eps)) (sin (/ 1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1/2 eps)))))) 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 x))) (sin (/ 1/2 (/ 1 eps)))) (* (cos (/ 1/2 (/ 1 eps))) (sin (/ 1 (/ 1 x))))) (sin (/ 1/2 (/ 1 eps)))) into (* (sin (* 1/2 eps)) (+ (* (sin x) (cos (* 1/2 eps))) (* (cos x) (sin (* 1/2 eps))))) * [misc]approximate: Taking taylor expansion of (* (+ (* (sin (/ 1 (- x))) (cos (* 1/2 (/ 1 (- eps))))) (* (cos (/ 1 (- x))) (sin (* 1/2 (/ 1 (- eps)))))) (sin (/ (/ 1 (- eps)) 2))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (* (+ (* (sin (/ 1 (- x))) (cos (* 1/2 (/ 1 (- eps))))) (* (cos (/ 1 (- x))) (sin (* 1/2 (/ 1 (- eps)))))) (sin (/ (/ 1 (- eps)) 2))) in eps * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 (- x))) (cos (* 1/2 (/ 1 (- eps))))) (* (cos (/ 1 (- x))) (sin (* 1/2 (/ 1 (- eps)))))) in eps * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- x))) (cos (* 1/2 (/ 1 (- eps))))) 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 (* 1/2 (/ 1 (- eps)))) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (- eps))) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (* 1/2 -1) into -1/2 * [misc]backup-simplify: Simplify (cos (* 1/2 (/ 1 (- eps)))) into (cos (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- x))) (sin (* 1/2 (/ 1 (- eps))))) in 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 (* 1/2 (/ 1 (- eps)))) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (- eps))) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (* 1/2 -1) into -1/2 * [misc]backup-simplify: Simplify (sin (* 1/2 (/ 1 (- eps)))) into (sin (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 (- eps)) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- eps)) 2) 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 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 (- eps)) 2)) into (sin (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (* (+ (* (sin (/ 1 (- x))) (cos (* 1/2 (/ 1 (- eps))))) (* (cos (/ 1 (- x))) (sin (* 1/2 (/ 1 (- eps)))))) (sin (/ (/ 1 (- eps)) 2))) in x * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 (- x))) (cos (* 1/2 (/ 1 (- eps))))) (* (cos (/ 1 (- x))) (sin (* 1/2 (/ 1 (- eps)))))) in x * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- x))) (cos (* 1/2 (/ 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 (- 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 (* 1/2 (/ 1 (- eps)))) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (- eps))) 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 (/ 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 (* 1/2 (/ -1 eps)) into (/ -1/2 eps) * [misc]backup-simplify: Simplify (cos (/ -1/2 eps)) into (cos (/ -1/2 eps)) * [misc]backup-simplify: Simplify (sin (/ -1/2 eps)) into (sin (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- x))) (sin (* 1/2 (/ 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 (- 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 (* 1/2 (/ 1 (- eps)))) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (- eps))) 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 (/ 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 (* 1/2 (/ -1 eps)) into (/ -1/2 eps) * [misc]backup-simplify: Simplify (sin (/ -1/2 eps)) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ -1/2 eps)) into (cos (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 (- eps)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- eps)) 2) 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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 eps) 2) into (/ -1/2 eps) * [misc]backup-simplify: Simplify (sin (/ -1/2 eps)) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ -1/2 eps)) into (cos (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (* (+ (* (sin (/ 1 (- x))) (cos (* 1/2 (/ 1 (- eps))))) (* (cos (/ 1 (- x))) (sin (* 1/2 (/ 1 (- eps)))))) (sin (/ (/ 1 (- eps)) 2))) in x * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 (- x))) (cos (* 1/2 (/ 1 (- eps))))) (* (cos (/ 1 (- x))) (sin (* 1/2 (/ 1 (- eps)))))) in x * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- x))) (cos (* 1/2 (/ 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 (- 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 (* 1/2 (/ 1 (- eps)))) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (- eps))) 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 (/ 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 (* 1/2 (/ -1 eps)) into (/ -1/2 eps) * [misc]backup-simplify: Simplify (cos (/ -1/2 eps)) into (cos (/ -1/2 eps)) * [misc]backup-simplify: Simplify (sin (/ -1/2 eps)) into (sin (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- x))) (sin (* 1/2 (/ 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 (- 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 (* 1/2 (/ 1 (- eps)))) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (- eps))) 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 (/ 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 (* 1/2 (/ -1 eps)) into (/ -1/2 eps) * [misc]backup-simplify: Simplify (sin (/ -1/2 eps)) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ -1/2 eps)) into (cos (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 (- eps)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- eps)) 2) 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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 eps) 2) into (/ -1/2 eps) * [misc]backup-simplify: Simplify (sin (/ -1/2 eps)) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ -1/2 eps)) into (cos (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 eps)) 1) into (cos (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 eps)) 0) into (cos (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) (cos (/ -1/2 eps))) into (* (cos (/ -1/2 eps)) (sin (/ -1 x))) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 eps)) 1) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1/2 eps)) 0) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (/ -1 x)) (sin (/ -1/2 eps))) into (* (sin (/ -1/2 eps)) (cos (/ -1 x))) * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 eps)) (sin (/ -1 x))) (* (sin (/ -1/2 eps)) (cos (/ -1 x)))) into (+ (* (cos (/ -1/2 eps)) (sin (/ -1 x))) (* (sin (/ -1/2 eps)) (cos (/ -1 x)))) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 eps)) 1) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1/2 eps)) 0) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (+ (* (cos (/ -1/2 eps)) (sin (/ -1 x))) (* (sin (/ -1/2 eps)) (cos (/ -1 x)))) (sin (/ -1/2 eps))) into (* (sin (/ -1/2 eps)) (+ (* (cos (/ -1/2 eps)) (sin (/ -1 x))) (* (sin (/ -1/2 eps)) (cos (/ -1 x))))) * [misc]taylor: Taking taylor expansion of (* (sin (/ -1/2 eps)) (+ (* (cos (/ -1/2 eps)) (sin (/ -1 x))) (* (sin (/ -1/2 eps)) (cos (/ -1 x))))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ -1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (/ -1/2 eps) in eps * [misc]taylor: Taking taylor expansion of -1/2 in eps * [misc]backup-simplify: Simplify -1/2 into -1/2 * [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 (/ -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (sin (/ -1/2 eps)) into (sin (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (+ (* (cos (/ -1/2 eps)) (sin (/ -1 x))) (* (sin (/ -1/2 eps)) (cos (/ -1 x)))) in eps * [misc]taylor: Taking taylor expansion of (* (cos (/ -1/2 eps)) (sin (/ -1 x))) in eps * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (/ -1/2 eps) in eps * [misc]taylor: Taking taylor expansion of -1/2 in eps * [misc]backup-simplify: Simplify -1/2 into -1/2 * [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 (/ -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (cos (/ -1/2 eps)) into (cos (/ -1/2 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 -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]taylor: Taking taylor expansion of (* (sin (/ -1/2 eps)) (cos (/ -1 x))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ -1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (/ -1/2 eps) in eps * [misc]taylor: Taking taylor expansion of -1/2 in eps * [misc]backup-simplify: Simplify -1/2 into -1/2 * [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 (/ -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (sin (/ -1/2 eps)) into (sin (/ -1/2 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 -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 (cos (/ -1 x)) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (sin (/ -1 x)) into (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 (* (cos (/ -1/2 eps)) (sin (/ -1 x))) into (* (cos (/ -1/2 eps)) (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 (/ -1/2 eps)) (cos (/ -1 x))) into (* (sin (/ -1/2 eps)) (cos (/ -1 x))) * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 eps)) (sin (/ -1 x))) (* (sin (/ -1/2 eps)) (cos (/ -1 x)))) into (+ (* (cos (/ -1/2 eps)) (sin (/ -1 x))) (* (sin (/ -1/2 eps)) (cos (/ -1 x)))) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 eps)) (+ (* (cos (/ -1/2 eps)) (sin (/ -1 x))) (* (sin (/ -1/2 eps)) (cos (/ -1 x))))) into (* (sin (/ -1/2 eps)) (+ (* (cos (/ -1/2 eps)) (sin (/ -1 x))) (* (sin (/ -1/2 eps)) (cos (/ -1 x))))) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 eps)) (+ (* (cos (/ -1/2 eps)) (sin (/ -1 x))) (* (sin (/ -1/2 eps)) (cos (/ -1 x))))) into (* (sin (/ -1/2 eps)) (+ (* (cos (/ -1/2 eps)) (sin (/ -1 x))) (* (sin (/ -1/2 eps)) (cos (/ -1 x))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 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 (- (/ 0 2) (+ (* (/ -1/2 eps) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 eps)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 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 (+ (* 1/2 0) (* 0 (/ -1 eps))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 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 (/ -1/2 eps)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 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 (+ (* 1/2 0) (* 0 (/ -1 eps))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 eps)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 (sin (/ -1/2 eps)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* (cos (/ -1/2 eps)) (sin (/ -1 x))) (* (sin (/ -1/2 eps)) (cos (/ -1 x)))) 0) (* 0 (sin (/ -1/2 eps)))) 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 (+ (* (cos (/ -1/2 eps)) 0) (* 0 (sin (/ -1 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -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 (+ (* (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 (/ -1/2 eps)) 0) (* 0 (cos (/ -1 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 eps)) 0) (* 0 (+ (* (cos (/ -1/2 eps)) (sin (/ -1 x))) (* (sin (/ -1/2 eps)) (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 (+ (* (sin (/ -1/2 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 2) (+ (* (/ -1/2 eps) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 eps)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 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 (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ -1 eps)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 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 (/ -1/2 eps))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 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 (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ -1 eps)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 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 (/ -1/2 eps))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* (cos (/ -1/2 eps)) (sin (/ -1 x))) (* (sin (/ -1/2 eps)) (cos (/ -1 x)))) 0) (+ (* 0 0) (* 0 (sin (/ -1/2 eps))))) 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 (+ (* (cos (/ -1/2 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 (+ (* (cos (/ -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 (+ (* (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 (/ -1/2 eps)) 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 eps)) 0) (+ (* 0 0) (* 0 (+ (* (cos (/ -1/2 eps)) (sin (/ -1 x))) (* (sin (/ -1/2 eps)) (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 (+ (* (sin (/ -1/2 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 (- (/ 0 2) (+ (* (/ -1/2 eps) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 eps)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 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 (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 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 (/ -1/2 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 (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 eps)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 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 (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 eps))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 eps)) 0) (+ (* 0 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 0) (* 0 (sin (/ -1/2 eps)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* (cos (/ -1/2 eps)) (sin (/ -1 x))) (* (sin (/ -1/2 eps)) (cos (/ -1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1/2 eps)))))) 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 (* (sin (/ -1/2 (/ 1 (- eps)))) (+ (* (cos (/ -1/2 (/ 1 (- eps)))) (sin (/ -1 (/ 1 (- x))))) (* (sin (/ -1/2 (/ 1 (- eps)))) (cos (/ -1 (/ 1 (- x))))))) into (* (+ (* (sin x) (cos (* 1/2 eps))) (* (cos x) (sin (* 1/2 eps)))) (sin (* 1/2 eps))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1 2) * [misc]approximate: Taking taylor expansion of (* (cos x) (sin (* 1/2 eps))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (* (cos x) (sin (* 1/2 eps))) in eps * [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 (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]taylor: Taking taylor expansion of (* (cos x) (sin (* 1/2 eps))) in 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]taylor: Taking taylor expansion of (sin (* 1/2 eps)) in x * [misc]taylor: Taking taylor expansion of (* 1/2 eps) 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 eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (* 1/2 eps) into (* 1/2 eps) * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]taylor: Taking taylor expansion of (* (cos x) (sin (* 1/2 eps))) in 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]taylor: Taking taylor expansion of (sin (* 1/2 eps)) in x * [misc]taylor: Taking taylor expansion of (* 1/2 eps) 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 eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (* 1/2 eps) into (* 1/2 eps) * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 eps)) 1) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (* 1/2 eps)) 0) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (* 1 (sin (* 1/2 eps))) into (sin (* 1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 eps)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 eps)) 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 (* 1/2 eps)))) 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 (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 eps)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 eps))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 eps)) 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 (* 1/2 eps))))) into (- (* 1/2 (sin (* 1/2 eps)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (sin (* 1/2 eps)))) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 (sin (* 1/2 eps))) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sin (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [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 (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 eps)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 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 (+ (* (cos (* 1/2 eps)) 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 (* 1/2 eps)))))) 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 (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 1/2) (* 0 0)) into 1/4 * [misc]backup-simplify: Simplify (- 1/4) into -1/4 * [misc]backup-simplify: Simplify -1/4 into -1/4 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/48) * [misc]backup-simplify: Simplify (- 1/48) into -1/48 * [misc]backup-simplify: Simplify (+ (* -1/48 (pow (* eps 1) 3)) (+ (* -1/4 (* eps (pow x 2))) (* 1/2 (* eps 1)))) into (- (* 1/2 eps) (+ (* 1/4 (* (pow x 2) eps)) (* 1/48 (pow eps 3)))) * [misc]approximate: Taking taylor expansion of (* (cos (/ 1 x)) (sin (* 1/2 (/ 1 eps)))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 x)) (sin (* 1/2 (/ 1 eps)))) in 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 (* 1/2 (/ 1 eps))) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 eps)) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (sin (* 1/2 (/ 1 eps))) into (sin (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 x)) (sin (* 1/2 (/ 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 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 (* 1/2 (/ 1 eps))) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 eps)) 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 (/ 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 (* 1/2 (/ 1 eps)) into (/ 1/2 eps) * [misc]backup-simplify: Simplify (sin (/ 1/2 eps)) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ 1/2 eps)) into (cos (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 x)) (sin (* 1/2 (/ 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 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 (* 1/2 (/ 1 eps))) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 eps)) 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 (/ 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 (* 1/2 (/ 1 eps)) into (/ 1/2 eps) * [misc]backup-simplify: Simplify (sin (/ 1/2 eps)) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ 1/2 eps)) into (cos (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 eps)) 1) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1/2 eps)) 0) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (/ 1 x)) (sin (/ 1/2 eps))) into (* (cos (/ 1 x)) (sin (/ 1/2 eps))) * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 x)) (sin (/ 1/2 eps))) in 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 (/ 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (/ 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (sin (/ 1/2 eps)) into (sin (/ 1/2 eps)) * [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 (* (cos (/ 1 x)) (sin (/ 1/2 eps))) into (* (cos (/ 1 x)) (sin (/ 1/2 eps))) * [misc]backup-simplify: Simplify (* (cos (/ 1 x)) (sin (/ 1/2 eps))) into (* (cos (/ 1 x)) (sin (/ 1/2 eps))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 eps) (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 eps))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 eps)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 (sin (/ 1/2 eps)))) 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 (/ 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 (+ (* (cos (/ 1 x)) 0) (* 0 (sin (/ 1/2 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 (/ 1/2 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 (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 eps)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 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 (/ 1/2 eps))))) 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 (+ (* (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 (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1/2 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 (/ 1/2 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 (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 eps))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 eps)) 0) (+ (* 0 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 0) (* 0 (sin (/ 1/2 eps)))))) 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 x))) (sin (/ 1/2 (/ 1 eps)))) into (* (cos x) (sin (* 1/2 eps))) * [misc]approximate: Taking taylor expansion of (* (cos (/ 1 (- x))) (sin (* 1/2 (/ 1 (- eps))))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- x))) (sin (* 1/2 (/ 1 (- eps))))) in 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 (* 1/2 (/ 1 (- eps)))) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (- eps))) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (* 1/2 -1) into -1/2 * [misc]backup-simplify: Simplify (sin (* 1/2 (/ 1 (- eps)))) into (sin (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- x))) (sin (* 1/2 (/ 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 (- 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 (* 1/2 (/ 1 (- eps)))) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (- eps))) 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 (/ 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 (* 1/2 (/ -1 eps)) into (/ -1/2 eps) * [misc]backup-simplify: Simplify (sin (/ -1/2 eps)) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ -1/2 eps)) into (cos (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- x))) (sin (* 1/2 (/ 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 (- 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 (* 1/2 (/ 1 (- eps)))) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (- eps))) 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 (/ 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 (* 1/2 (/ -1 eps)) into (/ -1/2 eps) * [misc]backup-simplify: Simplify (sin (/ -1/2 eps)) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ -1/2 eps)) into (cos (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 eps)) 1) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1/2 eps)) 0) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (/ -1 x)) (sin (/ -1/2 eps))) into (* (sin (/ -1/2 eps)) (cos (/ -1 x))) * [misc]taylor: Taking taylor expansion of (* (sin (/ -1/2 eps)) (cos (/ -1 x))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ -1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (/ -1/2 eps) in eps * [misc]taylor: Taking taylor expansion of -1/2 in eps * [misc]backup-simplify: Simplify -1/2 into -1/2 * [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 (/ -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (sin (/ -1/2 eps)) into (sin (/ -1/2 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 -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 (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 (/ -1/2 eps)) (cos (/ -1 x))) into (* (sin (/ -1/2 eps)) (cos (/ -1 x))) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 eps)) (cos (/ -1 x))) into (* (sin (/ -1/2 eps)) (cos (/ -1 x))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 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 (+ (* 1/2 0) (* 0 (/ -1 eps))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 eps)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 (sin (/ -1/2 eps)))) 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 (/ -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 (+ (* (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 (/ -1/2 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 (+ (* (sin (/ -1/2 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 (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ -1 eps)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 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 (/ -1/2 eps))))) 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 (+ (* (cos (/ -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 (+ (* (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 (/ -1/2 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 (+ (* (sin (/ -1/2 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 (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 eps))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 eps)) 0) (+ (* 0 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 0) (* 0 (sin (/ -1/2 eps)))))) 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 (* (sin (/ -1/2 (/ 1 (- eps)))) (cos (/ -1 (/ 1 (- x))))) into (* (cos x) (sin (* 1/2 eps))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1 1) * [misc]approximate: Taking taylor expansion of (* (sin x) (cos (* 1/2 eps))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (* (sin x) (cos (* 1/2 eps))) 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 (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]taylor: Taking taylor expansion of (* (sin x) (cos (* 1/2 eps))) 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 (* 1/2 eps)) in x * [misc]taylor: Taking taylor expansion of (* 1/2 eps) 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 eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (* 1/2 eps) into (* 1/2 eps) * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]taylor: Taking taylor expansion of (* (sin x) (cos (* 1/2 eps))) 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 (* 1/2 eps)) in x * [misc]taylor: Taking taylor expansion of (* 1/2 eps) 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 eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (* 1/2 eps) into (* 1/2 eps) * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 eps)) 1) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 eps)) 0) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (* 0 (cos (* 1/2 eps))) 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 (* 1/2 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 eps)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 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 (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (cos (* 1/2 eps)))) into (cos (* 1/2 eps)) * [misc]taylor: Taking taylor expansion of (cos (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [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 (* 1/2 eps)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 eps))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 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 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (* 1/2 eps))))) 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 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 eps)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 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 (* 1/2 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 (+ (* -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 (* 1/2 eps)))))) into (- (* 1/6 (cos (* 1/2 eps)))) * [misc]taylor: Taking taylor expansion of (- (* 1/6 (cos (* 1/2 eps)))) in eps * [misc]taylor: Taking taylor expansion of (* 1/6 (cos (* 1/2 eps))) in eps * [misc]taylor: Taking taylor expansion of 1/6 in eps * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [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) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (- 1/8) into -1/8 * [misc]backup-simplify: Simplify (+ (* -1/8 (* (pow eps 2) x)) (+ (* -1/6 (pow (* 1 x) 3)) (* 1 (* 1 x)))) into (- x (+ (* 1/8 (* x (pow eps 2))) (* 1/6 (pow x 3)))) * [misc]approximate: Taking taylor expansion of (* (sin (/ 1 x)) (cos (* 1/2 (/ 1 eps)))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 x)) (cos (* 1/2 (/ 1 eps)))) 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 (* 1/2 (/ 1 eps))) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 eps)) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (cos (* 1/2 (/ 1 eps))) into (cos (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 x)) (cos (* 1/2 (/ 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 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 (* 1/2 (/ 1 eps))) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 eps)) 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 (/ 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 (* 1/2 (/ 1 eps)) into (/ 1/2 eps) * [misc]backup-simplify: Simplify (cos (/ 1/2 eps)) into (cos (/ 1/2 eps)) * [misc]backup-simplify: Simplify (sin (/ 1/2 eps)) into (sin (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 x)) (cos (* 1/2 (/ 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 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 (* 1/2 (/ 1 eps))) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 eps)) 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 (/ 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 (* 1/2 (/ 1 eps)) into (/ 1/2 eps) * [misc]backup-simplify: Simplify (cos (/ 1/2 eps)) into (cos (/ 1/2 eps)) * [misc]backup-simplify: Simplify (sin (/ 1/2 eps)) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 eps)) 1) into (cos (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 eps)) 0) into (cos (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) (cos (/ 1/2 eps))) into (* (cos (/ 1/2 eps)) (sin (/ 1 x))) * [misc]taylor: Taking taylor expansion of (* (cos (/ 1/2 eps)) (sin (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (/ 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (cos (/ 1/2 eps)) into (cos (/ 1/2 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 (/ 1/2 eps)) (sin (/ 1 x))) into (* (cos (/ 1/2 eps)) (sin (/ 1 x))) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 eps)) (sin (/ 1 x))) into (* (cos (/ 1/2 eps)) (sin (/ 1 x))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 eps) (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 eps))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 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 (/ 1/2 eps)))) 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 (+ (* (cos (/ 1/2 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 (+ (* (cos (/ 1/2 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 (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 eps)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 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 (/ 1/2 eps))))) 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 (+ (* (cos (/ 1/2 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 (+ (* (cos (/ 1/2 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 (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 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 (/ 1/2 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 (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 eps)))))) 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 (/ 1/2 (/ 1 eps))) (sin (/ 1 (/ 1 x)))) into (* (sin x) (cos (* 1/2 eps))) * [misc]approximate: Taking taylor expansion of (* (sin (/ 1 (- x))) (cos (* 1/2 (/ 1 (- eps))))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- x))) (cos (* 1/2 (/ 1 (- eps))))) 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 (* 1/2 (/ 1 (- eps)))) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (- eps))) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (* 1/2 -1) into -1/2 * [misc]backup-simplify: Simplify (cos (* 1/2 (/ 1 (- eps)))) into (cos (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- x))) (cos (* 1/2 (/ 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 (- 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 (* 1/2 (/ 1 (- eps)))) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (- eps))) 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 (/ 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 (* 1/2 (/ -1 eps)) into (/ -1/2 eps) * [misc]backup-simplify: Simplify (cos (/ -1/2 eps)) into (cos (/ -1/2 eps)) * [misc]backup-simplify: Simplify (sin (/ -1/2 eps)) into (sin (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- x))) (cos (* 1/2 (/ 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 (- 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 (* 1/2 (/ 1 (- eps)))) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (- eps))) 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 (/ 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 (* 1/2 (/ -1 eps)) into (/ -1/2 eps) * [misc]backup-simplify: Simplify (cos (/ -1/2 eps)) into (cos (/ -1/2 eps)) * [misc]backup-simplify: Simplify (sin (/ -1/2 eps)) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 eps)) 1) into (cos (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 eps)) 0) into (cos (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) (cos (/ -1/2 eps))) into (* (cos (/ -1/2 eps)) (sin (/ -1 x))) * [misc]taylor: Taking taylor expansion of (* (cos (/ -1/2 eps)) (sin (/ -1 x))) in eps * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (/ -1/2 eps) in eps * [misc]taylor: Taking taylor expansion of -1/2 in eps * [misc]backup-simplify: Simplify -1/2 into -1/2 * [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 (/ -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (cos (/ -1/2 eps)) into (cos (/ -1/2 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 -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 (* (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 (/ -1/2 eps)) (sin (/ -1 x))) into (* (cos (/ -1/2 eps)) (sin (/ -1 x))) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 eps)) (sin (/ -1 x))) into (* (cos (/ -1/2 eps)) (sin (/ -1 x))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 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 (+ (* 1/2 0) (* 0 (/ -1 eps))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 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 (/ -1/2 eps)))) 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 (+ (* (cos (/ -1/2 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 (+ (* (cos (/ -1/2 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 (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ -1 eps)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 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 (/ -1/2 eps))))) 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 (+ (* (cos (/ -1/2 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 (+ (* (cos (/ -1/2 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 (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 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 (/ -1/2 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 (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 eps)))))) 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 (/ -1/2 (/ 1 (- eps)))) (sin (/ -1 (/ 1 (- x))))) into (* (sin x) (cos (* 1/2 eps))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (+ (* (sin x) (cos (* 1/2 eps))) (* (cos x) (sin (* 1/2 eps)))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (sin x) (cos (* 1/2 eps))) (* (cos x) (sin (* 1/2 eps)))) in eps * [misc]taylor: Taking taylor expansion of (* (sin x) (cos (* 1/2 eps))) 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 (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]taylor: Taking taylor expansion of (* (cos x) (sin (* 1/2 eps))) in eps * [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 (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]taylor: Taking taylor expansion of (+ (* (sin x) (cos (* 1/2 eps))) (* (cos x) (sin (* 1/2 eps)))) in x * [misc]taylor: Taking taylor expansion of (* (sin x) (cos (* 1/2 eps))) 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 (* 1/2 eps)) in x * [misc]taylor: Taking taylor expansion of (* 1/2 eps) 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 eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (* 1/2 eps) into (* 1/2 eps) * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]taylor: Taking taylor expansion of (* (cos x) (sin (* 1/2 eps))) in 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]taylor: Taking taylor expansion of (sin (* 1/2 eps)) in x * [misc]taylor: Taking taylor expansion of (* 1/2 eps) 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 eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (* 1/2 eps) into (* 1/2 eps) * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]taylor: Taking taylor expansion of (+ (* (sin x) (cos (* 1/2 eps))) (* (cos x) (sin (* 1/2 eps)))) in x * [misc]taylor: Taking taylor expansion of (* (sin x) (cos (* 1/2 eps))) 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 (* 1/2 eps)) in x * [misc]taylor: Taking taylor expansion of (* 1/2 eps) 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 eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (* 1/2 eps) into (* 1/2 eps) * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]taylor: Taking taylor expansion of (* (cos x) (sin (* 1/2 eps))) in 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]taylor: Taking taylor expansion of (sin (* 1/2 eps)) in x * [misc]taylor: Taking taylor expansion of (* 1/2 eps) 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 eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (* 1/2 eps) into (* 1/2 eps) * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 eps)) 1) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 eps)) 0) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (* 0 (cos (* 1/2 eps))) into 0 * [misc]backup-simplify: Simplify (* (sin (* 1/2 eps)) 1) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (* 1/2 eps)) 0) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (* 1 (sin (* 1/2 eps))) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (+ 0 (sin (* 1/2 eps))) into (sin (* 1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 eps)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 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 (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (cos (* 1/2 eps)))) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 eps)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 eps)) 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 (* 1/2 eps)))) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 eps)) 0) into (cos (* 1/2 eps)) * [misc]taylor: Taking taylor expansion of (cos (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 eps)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 eps))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 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 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (* 1/2 eps))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 eps)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 eps))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 eps)) 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 (* 1/2 eps))))) into (- (* 1/2 (sin (* 1/2 eps)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 eps))))) into (- (* 1/2 (sin (* 1/2 eps)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (sin (* 1/2 eps)))) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 (sin (* 1/2 eps))) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sin (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [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 (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 eps)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 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 (* 1/2 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 (+ (* -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 (* 1/2 eps)))))) into (- (* 1/6 (cos (* 1/2 eps)))) * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 eps)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 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 (+ (* (cos (* 1/2 eps)) 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 (* 1/2 eps)))))) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/6 (cos (* 1/2 eps)))) 0) into (- (* 1/6 (cos (* 1/2 eps)))) * [misc]taylor: Taking taylor expansion of (- (* 1/6 (cos (* 1/2 eps)))) in eps * [misc]taylor: Taking taylor expansion of (* 1/6 (cos (* 1/2 eps))) in eps * [misc]taylor: Taking taylor expansion of 1/6 in eps * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [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 x) 3)) (+ (* 1/2 (* eps 1)) (* 1 (* 1 x)))) into (- (+ x (* 1/2 eps)) (* 1/6 (pow x 3))) * [misc]approximate: Taking taylor expansion of (+ (* (sin (/ 1 x)) (cos (* 1/2 (/ 1 eps)))) (* (cos (/ 1 x)) (sin (* 1/2 (/ 1 eps))))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 x)) (cos (* 1/2 (/ 1 eps)))) (* (cos (/ 1 x)) (sin (* 1/2 (/ 1 eps))))) in eps * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 x)) (cos (* 1/2 (/ 1 eps)))) 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 (* 1/2 (/ 1 eps))) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 eps)) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (cos (* 1/2 (/ 1 eps))) into (cos (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 x)) (sin (* 1/2 (/ 1 eps)))) in 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 (* 1/2 (/ 1 eps))) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 eps)) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (sin (* 1/2 (/ 1 eps))) into (sin (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 x)) (cos (* 1/2 (/ 1 eps)))) (* (cos (/ 1 x)) (sin (* 1/2 (/ 1 eps))))) in x * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 x)) (cos (* 1/2 (/ 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 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 (* 1/2 (/ 1 eps))) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 eps)) 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 (/ 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 (* 1/2 (/ 1 eps)) into (/ 1/2 eps) * [misc]backup-simplify: Simplify (cos (/ 1/2 eps)) into (cos (/ 1/2 eps)) * [misc]backup-simplify: Simplify (sin (/ 1/2 eps)) into (sin (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 x)) (sin (* 1/2 (/ 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 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 (* 1/2 (/ 1 eps))) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 eps)) 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 (/ 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 (* 1/2 (/ 1 eps)) into (/ 1/2 eps) * [misc]backup-simplify: Simplify (sin (/ 1/2 eps)) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ 1/2 eps)) into (cos (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 x)) (cos (* 1/2 (/ 1 eps)))) (* (cos (/ 1 x)) (sin (* 1/2 (/ 1 eps))))) in x * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 x)) (cos (* 1/2 (/ 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 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 (* 1/2 (/ 1 eps))) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 eps)) 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 (/ 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 (* 1/2 (/ 1 eps)) into (/ 1/2 eps) * [misc]backup-simplify: Simplify (cos (/ 1/2 eps)) into (cos (/ 1/2 eps)) * [misc]backup-simplify: Simplify (sin (/ 1/2 eps)) into (sin (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 x)) (sin (* 1/2 (/ 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 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 (* 1/2 (/ 1 eps))) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 eps)) 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 (/ 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 (* 1/2 (/ 1 eps)) into (/ 1/2 eps) * [misc]backup-simplify: Simplify (sin (/ 1/2 eps)) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ 1/2 eps)) into (cos (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 eps)) 1) into (cos (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 eps)) 0) into (cos (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) (cos (/ 1/2 eps))) into (* (cos (/ 1/2 eps)) (sin (/ 1 x))) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 eps)) 1) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1/2 eps)) 0) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (/ 1 x)) (sin (/ 1/2 eps))) into (* (cos (/ 1 x)) (sin (/ 1/2 eps))) * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 eps)) (sin (/ 1 x))) (* (cos (/ 1 x)) (sin (/ 1/2 eps)))) into (+ (* (cos (/ 1 x)) (sin (/ 1/2 eps))) (* (cos (/ 1/2 eps)) (sin (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (+ (* (cos (/ 1 x)) (sin (/ 1/2 eps))) (* (cos (/ 1/2 eps)) (sin (/ 1 x)))) in eps * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 x)) (sin (/ 1/2 eps))) in 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 (/ 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (/ 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (sin (/ 1/2 eps)) into (sin (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (* (cos (/ 1/2 eps)) (sin (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (/ 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (cos (/ 1/2 eps)) into (cos (/ 1/2 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 (* (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 (* (cos (/ 1 x)) (sin (/ 1/2 eps))) into (* (cos (/ 1 x)) (sin (/ 1/2 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 (/ 1/2 eps)) (sin (/ 1 x))) into (* (cos (/ 1/2 eps)) (sin (/ 1 x))) * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 x)) (sin (/ 1/2 eps))) (* (cos (/ 1/2 eps)) (sin (/ 1 x)))) into (+ (* (cos (/ 1 x)) (sin (/ 1/2 eps))) (* (cos (/ 1/2 eps)) (sin (/ 1 x)))) * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 x)) (sin (/ 1/2 eps))) (* (cos (/ 1/2 eps)) (sin (/ 1 x)))) into (+ (* (cos (/ 1 x)) (sin (/ 1/2 eps))) (* (cos (/ 1/2 eps)) (sin (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 eps) (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 eps))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 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 (/ 1/2 eps)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 eps) (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 eps))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 eps)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 (sin (/ 1/2 eps)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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 (/ 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 (+ (* (cos (/ 1 x)) 0) (* 0 (sin (/ 1/2 eps)))) 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 (/ 1/2 eps)) 0) (* 0 (sin (/ 1 x)))) 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 (/ 1/2 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 (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 eps)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 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 (/ 1/2 eps))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 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 (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 eps)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 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 (/ 1/2 eps))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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 (+ (* (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 (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1/2 eps))))) 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 (/ 1/2 eps)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) 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 (/ 1/2 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 (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 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 (/ 1/2 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 (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 eps)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 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 (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 eps))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 eps)) 0) (+ (* 0 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 0) (* 0 (sin (/ 1/2 eps)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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 x))) (sin (/ 1/2 (/ 1 eps)))) (* (cos (/ 1/2 (/ 1 eps))) (sin (/ 1 (/ 1 x))))) into (+ (* (sin x) (cos (* 1/2 eps))) (* (cos x) (sin (* 1/2 eps)))) * [misc]approximate: Taking taylor expansion of (+ (* (sin (/ 1 (- x))) (cos (* 1/2 (/ 1 (- eps))))) (* (cos (/ 1 (- x))) (sin (* 1/2 (/ 1 (- eps)))))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 (- x))) (cos (* 1/2 (/ 1 (- eps))))) (* (cos (/ 1 (- x))) (sin (* 1/2 (/ 1 (- eps)))))) in eps * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- x))) (cos (* 1/2 (/ 1 (- eps))))) 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 (* 1/2 (/ 1 (- eps)))) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (- eps))) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (* 1/2 -1) into -1/2 * [misc]backup-simplify: Simplify (cos (* 1/2 (/ 1 (- eps)))) into (cos (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- x))) (sin (* 1/2 (/ 1 (- eps))))) in 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 (* 1/2 (/ 1 (- eps)))) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (- eps))) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (* 1/2 -1) into -1/2 * [misc]backup-simplify: Simplify (sin (* 1/2 (/ 1 (- eps)))) into (sin (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 (- x))) (cos (* 1/2 (/ 1 (- eps))))) (* (cos (/ 1 (- x))) (sin (* 1/2 (/ 1 (- eps)))))) in x * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- x))) (cos (* 1/2 (/ 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 (- 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 (* 1/2 (/ 1 (- eps)))) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (- eps))) 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 (/ 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 (* 1/2 (/ -1 eps)) into (/ -1/2 eps) * [misc]backup-simplify: Simplify (cos (/ -1/2 eps)) into (cos (/ -1/2 eps)) * [misc]backup-simplify: Simplify (sin (/ -1/2 eps)) into (sin (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- x))) (sin (* 1/2 (/ 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 (- 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 (* 1/2 (/ 1 (- eps)))) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (- eps))) 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 (/ 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 (* 1/2 (/ -1 eps)) into (/ -1/2 eps) * [misc]backup-simplify: Simplify (sin (/ -1/2 eps)) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ -1/2 eps)) into (cos (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 (- x))) (cos (* 1/2 (/ 1 (- eps))))) (* (cos (/ 1 (- x))) (sin (* 1/2 (/ 1 (- eps)))))) in x * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- x))) (cos (* 1/2 (/ 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 (- 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 (* 1/2 (/ 1 (- eps)))) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (- eps))) 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 (/ 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 (* 1/2 (/ -1 eps)) into (/ -1/2 eps) * [misc]backup-simplify: Simplify (cos (/ -1/2 eps)) into (cos (/ -1/2 eps)) * [misc]backup-simplify: Simplify (sin (/ -1/2 eps)) into (sin (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- x))) (sin (* 1/2 (/ 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 (- 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 (* 1/2 (/ 1 (- eps)))) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (- eps))) 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 (/ 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 (* 1/2 (/ -1 eps)) into (/ -1/2 eps) * [misc]backup-simplify: Simplify (sin (/ -1/2 eps)) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ -1/2 eps)) into (cos (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 eps)) 1) into (cos (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 eps)) 0) into (cos (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) (cos (/ -1/2 eps))) into (* (cos (/ -1/2 eps)) (sin (/ -1 x))) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 eps)) 1) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1/2 eps)) 0) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (/ -1 x)) (sin (/ -1/2 eps))) into (* (sin (/ -1/2 eps)) (cos (/ -1 x))) * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 eps)) (sin (/ -1 x))) (* (sin (/ -1/2 eps)) (cos (/ -1 x)))) into (+ (* (cos (/ -1/2 eps)) (sin (/ -1 x))) (* (sin (/ -1/2 eps)) (cos (/ -1 x)))) * [misc]taylor: Taking taylor expansion of (+ (* (cos (/ -1/2 eps)) (sin (/ -1 x))) (* (sin (/ -1/2 eps)) (cos (/ -1 x)))) in eps * [misc]taylor: Taking taylor expansion of (* (cos (/ -1/2 eps)) (sin (/ -1 x))) in eps * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (/ -1/2 eps) in eps * [misc]taylor: Taking taylor expansion of -1/2 in eps * [misc]backup-simplify: Simplify -1/2 into -1/2 * [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 (/ -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (cos (/ -1/2 eps)) into (cos (/ -1/2 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 -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]taylor: Taking taylor expansion of (* (sin (/ -1/2 eps)) (cos (/ -1 x))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ -1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (/ -1/2 eps) in eps * [misc]taylor: Taking taylor expansion of -1/2 in eps * [misc]backup-simplify: Simplify -1/2 into -1/2 * [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 (/ -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (sin (/ -1/2 eps)) into (sin (/ -1/2 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 -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 (cos (/ -1 x)) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (sin (/ -1 x)) into (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 (* (cos (/ -1/2 eps)) (sin (/ -1 x))) into (* (cos (/ -1/2 eps)) (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 (/ -1/2 eps)) (cos (/ -1 x))) into (* (sin (/ -1/2 eps)) (cos (/ -1 x))) * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 eps)) (sin (/ -1 x))) (* (sin (/ -1/2 eps)) (cos (/ -1 x)))) into (+ (* (cos (/ -1/2 eps)) (sin (/ -1 x))) (* (sin (/ -1/2 eps)) (cos (/ -1 x)))) * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 eps)) (sin (/ -1 x))) (* (sin (/ -1/2 eps)) (cos (/ -1 x)))) into (+ (* (cos (/ -1/2 eps)) (sin (/ -1 x))) (* (sin (/ -1/2 eps)) (cos (/ -1 x)))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 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 (+ (* 1/2 0) (* 0 (/ -1 eps))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 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 (/ -1/2 eps)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 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 (+ (* 1/2 0) (* 0 (/ -1 eps))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 eps)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 (sin (/ -1/2 eps)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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 (+ (* (cos (/ -1/2 eps)) 0) (* 0 (sin (/ -1 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -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 (+ (* (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 (/ -1/2 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 (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 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 (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ -1 eps)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 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 (/ -1/2 eps))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 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 (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ -1 eps)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 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 (/ -1/2 eps))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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 (+ (* (cos (/ -1/2 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 (+ (* (cos (/ -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 (+ (* (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 (/ -1/2 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 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 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 (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 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 (/ -1/2 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 (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 eps)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 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 (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 eps))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 eps)) 0) (+ (* 0 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 0) (* 0 (sin (/ -1/2 eps)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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 (/ -1/2 (/ 1 (- eps)))) (sin (/ -1 (/ 1 (- x))))) (* (sin (/ -1/2 (/ 1 (- eps)))) (cos (/ -1 (/ 1 (- x)))))) into (+ (* (sin x) (cos (* 1/2 eps))) (* (cos x) (sin (* 1/2 eps)))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (sin x) (cos (* 1/2 eps))) (* (cos x) (sin (* 1/2 eps)))) (sin (/ eps 2))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * [exit]simplify: Simplified to (* (+ (* (cos (* 1/2 eps)) (sin x)) (* (cos x) (sin (* 1/2 eps)))) (sin (/ eps 2))) * [exit]simplify: Simplified to (* (+ (* (cos (* 1/2 eps)) (sin x)) (* (cos x) (sin (* 1/2 eps)))) (sin (/ eps 2))) * * * * [misc]progress: [ 2 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (+ (* (sin x) (cos (* 1/2 eps))) (* (cos x) (sin (* 1/2 eps))))) (log (sin (/ eps 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * [exit]simplify: Simplified to (+ (log (+ (* (cos (* 1/2 eps)) (sin x)) (* (cos x) (sin (* 1/2 eps))))) (log (sin (/ eps 2)))) * [exit]simplify: Simplified to (+ (log (+ (* (cos (* 1/2 eps)) (sin x)) (* (cos x) (sin (* 1/2 eps))))) (log (sin (/ eps 2)))) * * * * [misc]progress: [ 4 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (+ (* (sin x) (cos (* 1/2 eps))) (* (cos x) (sin (* 1/2 eps)))) (sin (/ eps 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * [exit]simplify: Simplified to (log (* (+ (* (cos (* 1/2 eps)) (sin x)) (* (cos x) (sin (* 1/2 eps)))) (sin (/ eps 2)))) * [exit]simplify: Simplified to (log (* (+ (* (cos (* 1/2 eps)) (sin x)) (* (cos x) (sin (* 1/2 eps)))) (sin (/ eps 2)))) * * * * [misc]progress: [ 5 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (+ (* (sin x) (cos (* 1/2 eps))) (* (cos x) (sin (* 1/2 eps)))) (sin (/ eps 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (pow (exp (sin (/ eps 2))) (+ (* (cos (* 1/2 eps)) (sin x)) (* (cos x) (sin (* 1/2 eps))))) * [exit]simplify: Simplified to (pow (exp (sin (/ eps 2))) (+ (* (cos (* 1/2 eps)) (sin x)) (* (cos x) (sin (* 1/2 eps))))) * * * * [misc]progress: [ 6 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* (sin x) (cos (* 1/2 eps))) (* (cos x) (sin (* 1/2 eps)))) (+ (* (sin x) (cos (* 1/2 eps))) (* (cos x) (sin (* 1/2 eps))))) (+ (* (sin x) (cos (* 1/2 eps))) (* (cos x) (sin (* 1/2 eps))))) (* (* (sin (/ eps 2)) (sin (/ eps 2))) (sin (/ eps 2)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (163 enodes) * [exit]simplify: Simplified to (* (* (+ (* (cos (* 1/2 eps)) (sin x)) (* (cos x) (sin (* 1/2 eps)))) (+ (* (cos (* 1/2 eps)) (sin x)) (* (cos x) (sin (* 1/2 eps))))) (* (+ (* (cos (* 1/2 eps)) (sin x)) (* (cos x) (sin (* 1/2 eps)))) (pow (sin (/ eps 2)) 3))) * [exit]simplify: Simplified to (* (* (+ (* (cos (* 1/2 eps)) (sin x)) (* (cos x) (sin (* 1/2 eps)))) (+ (* (cos (* 1/2 eps)) (sin x)) (* (cos x) (sin (* 1/2 eps))))) (* (+ (* (cos (* 1/2 eps)) (sin x)) (* (cos x) (sin (* 1/2 eps)))) (pow (sin (/ eps 2)) 3))) * * * * [misc]progress: [ 7 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (+ (* (sin x) (cos (* 1/2 eps))) (* (cos x) (sin (* 1/2 eps)))) (sin (/ eps 2)))) (cbrt (* (+ (* (sin x) (cos (* 1/2 eps))) (* (cos x) (sin (* 1/2 eps)))) (sin (/ eps 2))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * [exit]simplify: Simplified to (* (cbrt (* (+ (* (cos (* 1/2 eps)) (sin x)) (* (cos x) (sin (* 1/2 eps)))) (sin (/ eps 2)))) (cbrt (* (+ (* (cos (* 1/2 eps)) (sin x)) (* (cos x) (sin (* 1/2 eps)))) (sin (/ eps 2))))) * [exit]simplify: Simplified to (* (cbrt (* (+ (* (cos (* 1/2 eps)) (sin x)) (* (cos x) (sin (* 1/2 eps)))) (sin (/ eps 2)))) (cbrt (* (+ (* (cos (* 1/2 eps)) (sin x)) (* (cos x) (sin (* 1/2 eps)))) (sin (/ eps 2))))) * [enter]simplify: Simplifying (cbrt (* (+ (* (sin x) (cos (* 1/2 eps))) (* (cos x) (sin (* 1/2 eps)))) (sin (/ eps 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * [exit]simplify: Simplified to (cbrt (* (+ (* (cos (* 1/2 eps)) (sin x)) (* (cos x) (sin (* 1/2 eps)))) (sin (/ eps 2)))) * [exit]simplify: Simplified to (cbrt (* (+ (* (cos (* 1/2 eps)) (sin x)) (* (cos x) (sin (* 1/2 eps)))) (sin (/ eps 2)))) * * * * [misc]progress: [ 8 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* (sin x) (cos (* 1/2 eps))) (* (cos x) (sin (* 1/2 eps)))) (sin (/ eps 2))) (* (+ (* (sin x) (cos (* 1/2 eps))) (* (cos x) (sin (* 1/2 eps)))) (sin (/ eps 2)))) (* (+ (* (sin x) (cos (* 1/2 eps))) (* (cos x) (sin (* 1/2 eps)))) (sin (/ eps 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (317 enodes) * [exit]simplify: Simplified to (pow (* (+ (* (cos (* 1/2 eps)) (sin x)) (* (cos x) (sin (* 1/2 eps)))) (sin (/ eps 2))) 3) * [exit]simplify: Simplified to (pow (* (+ (* (cos (* 1/2 eps)) (sin x)) (* (cos x) (sin (* 1/2 eps)))) (sin (/ eps 2))) 3) * * * * [misc]progress: [ 9 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (+ (* (sin x) (cos (* 1/2 eps))) (* (cos x) (sin (* 1/2 eps)))) (sin (/ eps 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* (cos (* 1/2 eps)) (sin x)) (* (cos x) (sin (* 1/2 eps)))) (sin (/ eps 2)))) * [exit]simplify: Simplified to (sqrt (* (+ (* (cos (* 1/2 eps)) (sin x)) (* (cos x) (sin (* 1/2 eps)))) (sin (/ eps 2)))) * [enter]simplify: Simplifying (sqrt (* (+ (* (sin x) (cos (* 1/2 eps))) (* (cos x) (sin (* 1/2 eps)))) (sin (/ eps 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* (cos (* 1/2 eps)) (sin x)) (* (cos x) (sin (* 1/2 eps)))) (sin (/ eps 2)))) * [exit]simplify: Simplified to (sqrt (* (+ (* (cos (* 1/2 eps)) (sin x)) (* (cos x) (sin (* 1/2 eps)))) (sin (/ eps 2)))) * * * * [misc]progress: [ 10 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (sin x) (cos (* 1/2 eps))) (* (cos x) (sin (* 1/2 eps)))) (* (cbrt (sin (/ eps 2))) (cbrt (sin (/ eps 2))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * [exit]simplify: Simplified to (* (+ (* (cos (* 1/2 eps)) (sin x)) (* (cos x) (sin (* 1/2 eps)))) (* (cbrt (sin (/ eps 2))) (cbrt (sin (/ eps 2))))) * [exit]simplify: Simplified to (* (+ (* (cos (* 1/2 eps)) (sin x)) (* (cos x) (sin (* 1/2 eps)))) (* (cbrt (sin (/ eps 2))) (cbrt (sin (/ eps 2))))) * * * * [misc]progress: [ 12 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (sin x) (cos (* 1/2 eps))) (* (cos x) (sin (* 1/2 eps)))) (sqrt (sin (/ eps 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * [exit]simplify: Simplified to (* (sqrt (sin (/ eps 2))) (+ (* (cos (* 1/2 eps)) (sin x)) (* (cos x) (sin (* 1/2 eps))))) * [exit]simplify: Simplified to (* (sqrt (sin (/ eps 2))) (+ (* (cos (* 1/2 eps)) (sin x)) (* (cos x) (sin (* 1/2 eps))))) * * * * [misc]progress: [ 13 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (sin x) (cos (* 1/2 eps))) (* (cos x) (sin (* 1/2 eps)))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * [exit]simplify: Simplified to (+ (* (cos (* 1/2 eps)) (sin x)) (* (sin (* 1/2 eps)) (cos x))) * [exit]simplify: Simplified to (+ (* (cos (* 1/2 eps)) (sin x)) (* (sin (* 1/2 eps)) (cos x))) * * * * [misc]progress: [ 14 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (* (sin x) (cos (* 1/2 eps))) (* (cos x) (sin (* 1/2 eps))))) (sin (/ eps 2))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * [exit]simplify: Simplified to (* (sin (/ eps 2)) (cbrt (+ (* (cos (* 1/2 eps)) (sin x)) (* (cos x) (sin (* 1/2 eps)))))) * [exit]simplify: Simplified to (* (sin (/ eps 2)) (cbrt (+ (* (cos (* 1/2 eps)) (sin x)) (* (cos x) (sin (* 1/2 eps)))))) * * * * [misc]progress: [ 15 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ (* (sin x) (cos (* 1/2 eps))) (* (cos x) (sin (* 1/2 eps))))) (sin (/ eps 2))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * [exit]simplify: Simplified to (* (sin (/ eps 2)) (sqrt (+ (* (cos (* 1/2 eps)) (sin x)) (* (cos x) (sin (* 1/2 eps)))))) * [exit]simplify: Simplified to (* (sin (/ eps 2)) (sqrt (+ (* (cos (* 1/2 eps)) (sin x)) (* (cos x) (sin (* 1/2 eps)))))) * * * * [misc]progress: [ 16 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (sin x) (cos (* 1/2 eps))) (* (cos x) (sin (* 1/2 eps)))) (sin (/ eps 2))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * [exit]simplify: Simplified to (* (+ (* (cos (* 1/2 eps)) (sin x)) (* (cos x) (sin (* 1/2 eps)))) (sin (/ eps 2))) * [exit]simplify: Simplified to (* (+ (* (cos (* 1/2 eps)) (sin x)) (* (cos x) (sin (* 1/2 eps)))) (sin (/ eps 2))) * * * * [misc]progress: [ 17 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (pow (* (sin x) (cos (* 1/2 eps))) 3) (pow (* (cos x) (sin (* 1/2 eps))) 3)) (sin (/ eps 2))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (219 enodes) * [exit]simplify: Simplified to (+ (* (pow (cos (* 1/2 eps)) 3) (* (pow (sin x) 3) (sin (/ eps 2)))) (* (* (pow (cos x) 3) (sin (/ eps 2))) (pow (sin (* 1/2 eps)) 3))) * [exit]simplify: Simplified to (+ (* (pow (cos (* 1/2 eps)) 3) (* (pow (sin x) 3) (sin (/ eps 2)))) (* (* (pow (cos x) 3) (sin (/ eps 2))) (pow (sin (* 1/2 eps)) 3))) * * * * [misc]progress: [ 18 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (* (sin x) (cos (* 1/2 eps))) (* (sin x) (cos (* 1/2 eps)))) (* (* (cos x) (sin (* 1/2 eps))) (* (cos x) (sin (* 1/2 eps))))) (sin (/ eps 2))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (182 enodes) * [exit]simplify: Simplified to (- (* (* (cos (* 1/2 eps)) (* (sin x) (sin x))) (* (sin (/ eps 2)) (cos (* 1/2 eps)))) (* (* (sin (* 1/2 eps)) (sin (* 1/2 eps))) (* (* (cos x) (cos x)) (sin (/ eps 2))))) * [exit]simplify: Simplified to (- (* (* (cos (* 1/2 eps)) (* (sin x) (sin x))) (* (sin (/ eps 2)) (cos (* 1/2 eps)))) (* (* (sin (* 1/2 eps)) (sin (* 1/2 eps))) (* (* (cos x) (cos x)) (sin (/ eps 2))))) * * * * [misc]progress: [ 19 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos x) (sin (* 1/2 eps))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (* (sin (* 1/2 eps)) (cos x)) * [exit]simplify: Simplified to (* (sin (* 1/2 eps)) (cos x)) * * * * [misc]progress: [ 21 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (cos x)) (log (sin (* 1/2 eps)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (+ (log (sin (* 1/2 eps))) (log (cos x))) * [exit]simplify: Simplified to (+ (log (sin (* 1/2 eps))) (log (cos x))) * * * * [misc]progress: [ 23 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cos x) (sin (* 1/2 eps)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (log (* (sin (* 1/2 eps)) (cos x))) * [exit]simplify: Simplified to (log (* (sin (* 1/2 eps)) (cos x))) * * * * [misc]progress: [ 24 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (cos x) (sin (* 1/2 eps)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (pow (exp (cos x)) (sin (* 1/2 eps))) * [exit]simplify: Simplified to (pow (exp (cos x)) (sin (* 1/2 eps))) * * * * [misc]progress: [ 25 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (cos x) (cos x)) (cos x)) (* (* (sin (* 1/2 eps)) (sin (* 1/2 eps))) (sin (* 1/2 eps)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (pow (* (cos x) (sin (* 1/2 eps))) 3) * [exit]simplify: Simplified to (pow (* (cos x) (sin (* 1/2 eps))) 3) * * * * [misc]progress: [ 26 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (cos x) (sin (* 1/2 eps)))) (cbrt (* (cos x) (sin (* 1/2 eps))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sin (* 1/2 eps)) (cos x))) (cbrt (* (sin (* 1/2 eps)) (cos x)))) * [exit]simplify: Simplified to (* (cbrt (* (sin (* 1/2 eps)) (cos x))) (cbrt (* (sin (* 1/2 eps)) (cos x)))) * [enter]simplify: Simplifying (cbrt (* (cos x) (sin (* 1/2 eps)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (* (sin (* 1/2 eps)) (cos x))) * [exit]simplify: Simplified to (cbrt (* (sin (* 1/2 eps)) (cos x))) * * * * [misc]progress: [ 27 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (cos x) (sin (* 1/2 eps))) (* (cos x) (sin (* 1/2 eps)))) (* (cos x) (sin (* 1/2 eps)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (pow (* (sin (* 1/2 eps)) (cos x)) 3) * [exit]simplify: Simplified to (pow (* (sin (* 1/2 eps)) (cos x)) 3) * * * * [misc]progress: [ 28 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cos x) (sin (* 1/2 eps)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (* (sin (* 1/2 eps)) (cos x))) * [exit]simplify: Simplified to (sqrt (* (sin (* 1/2 eps)) (cos x))) * [enter]simplify: Simplifying (sqrt (* (cos x) (sin (* 1/2 eps)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (* (sin (* 1/2 eps)) (cos x))) * [exit]simplify: Simplified to (sqrt (* (sin (* 1/2 eps)) (cos x))) * * * * [misc]progress: [ 29 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos x) (* (cbrt (sin (* 1/2 eps))) (cbrt (sin (* 1/2 eps))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (* (cos x) (* (cbrt (sin (* 1/2 eps))) (cbrt (sin (* 1/2 eps))))) * [exit]simplify: Simplified to (* (cos x) (* (cbrt (sin (* 1/2 eps))) (cbrt (sin (* 1/2 eps))))) * * * * [misc]progress: [ 31 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos x) (sqrt (sin (* 1/2 eps)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (sqrt (sin (* 1/2 eps))) (cos x)) * [exit]simplify: Simplified to (* (sqrt (sin (* 1/2 eps))) (cos x)) * * * * [misc]progress: [ 32 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos x) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (cos x) * [exit]simplify: Simplified to (cos x) * * * * [misc]progress: [ 33 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cos x)) (sin (* 1/2 eps))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (* (sin (* 1/2 eps)) (cbrt (cos x))) * [exit]simplify: Simplified to (* (sin (* 1/2 eps)) (cbrt (cos x))) * * * * [misc]progress: [ 34 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (cos x)) (sin (* 1/2 eps))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (* (sin (* 1/2 eps)) (sqrt (cos x))) * [exit]simplify: Simplified to (* (sin (* 1/2 eps)) (sqrt (cos x))) * * * * [misc]progress: [ 35 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos x) (sin (* 1/2 eps))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (* (sin (* 1/2 eps)) (cos x)) * [exit]simplify: Simplified to (* (sin (* 1/2 eps)) (cos x)) * * * * [misc]progress: [ 36 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sin (- x (* 1/2 eps))) (sin (+ x (* 1/2 eps)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (+ (sin (- x (* eps 1/2))) (sin (+ (* eps 1/2) x))) * [exit]simplify: Simplified to (+ (sin (- x (* eps 1/2))) (sin (+ (* eps 1/2) x))) * * * * [misc]progress: [ 38 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin x) (cos (* 1/2 eps))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (* (cos (* 1/2 eps)) (sin x)) * [exit]simplify: Simplified to (* (cos (* 1/2 eps)) (sin x)) * * * * [misc]progress: [ 39 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sin x)) (log (cos (* 1/2 eps)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (+ (log (cos (* 1/2 eps))) (log (sin x))) * [exit]simplify: Simplified to (+ (log (cos (* 1/2 eps))) (log (sin x))) * * * * [misc]progress: [ 41 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (sin x) (cos (* 1/2 eps)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (log (* (cos (* 1/2 eps)) (sin x))) * [exit]simplify: Simplified to (log (* (cos (* 1/2 eps)) (sin x))) * * * * [misc]progress: [ 42 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (sin x) (cos (* 1/2 eps)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (pow (exp (sin x)) (cos (* 1/2 eps))) * [exit]simplify: Simplified to (pow (exp (sin x)) (cos (* 1/2 eps))) * * * * [misc]progress: [ 43 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sin x) (sin x)) (sin x)) (* (* (cos (* 1/2 eps)) (cos (* 1/2 eps))) (cos (* 1/2 eps)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (pow (* (sin x) (cos (* 1/2 eps))) 3) * [exit]simplify: Simplified to (pow (* (sin x) (cos (* 1/2 eps))) 3) * * * * [misc]progress: [ 44 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sin x) (cos (* 1/2 eps)))) (cbrt (* (sin x) (cos (* 1/2 eps))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (* (cos (* 1/2 eps)) (sin x))) (cbrt (* (cos (* 1/2 eps)) (sin x)))) * [exit]simplify: Simplified to (* (cbrt (* (cos (* 1/2 eps)) (sin x))) (cbrt (* (cos (* 1/2 eps)) (sin x)))) * [enter]simplify: Simplifying (cbrt (* (sin x) (cos (* 1/2 eps)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (* (cos (* 1/2 eps)) (sin x))) * [exit]simplify: Simplified to (cbrt (* (cos (* 1/2 eps)) (sin x))) * * * * [misc]progress: [ 45 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sin x) (cos (* 1/2 eps))) (* (sin x) (cos (* 1/2 eps)))) (* (sin x) (cos (* 1/2 eps)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (pow (* (cos (* 1/2 eps)) (sin x)) 3) * [exit]simplify: Simplified to (pow (* (cos (* 1/2 eps)) (sin x)) 3) * * * * [misc]progress: [ 46 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (sin x) (cos (* 1/2 eps)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (* (cos (* 1/2 eps)) (sin x))) * [exit]simplify: Simplified to (sqrt (* (cos (* 1/2 eps)) (sin x))) * [enter]simplify: Simplifying (sqrt (* (sin x) (cos (* 1/2 eps)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (* (cos (* 1/2 eps)) (sin x))) * [exit]simplify: Simplified to (sqrt (* (cos (* 1/2 eps)) (sin x))) * * * * [misc]progress: [ 47 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin x) (* (cbrt (cos (* 1/2 eps))) (cbrt (cos (* 1/2 eps))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (* (sin x) (* (cbrt (cos (* 1/2 eps))) (cbrt (cos (* 1/2 eps))))) * [exit]simplify: Simplified to (* (sin x) (* (cbrt (cos (* 1/2 eps))) (cbrt (cos (* 1/2 eps))))) * * * * [misc]progress: [ 49 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin x) (sqrt (cos (* 1/2 eps)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (sqrt (cos (* 1/2 eps))) (sin x)) * [exit]simplify: Simplified to (* (sqrt (cos (* 1/2 eps))) (sin x)) * * * * [misc]progress: [ 50 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin x) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (sin x) * [exit]simplify: Simplified to (sin x) * * * * [misc]progress: [ 51 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sin x)) (cos (* 1/2 eps))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (* (cos (* 1/2 eps)) (cbrt (sin x))) * [exit]simplify: Simplified to (* (cos (* 1/2 eps)) (cbrt (sin x))) * * * * [misc]progress: [ 52 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sin x)) (cos (* 1/2 eps))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (* (cos (* 1/2 eps)) (sqrt (sin x))) * [exit]simplify: Simplified to (* (cos (* 1/2 eps)) (sqrt (sin x))) * * * * [misc]progress: [ 53 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin x) (cos (* 1/2 eps))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (* (cos (* 1/2 eps)) (sin x)) * [exit]simplify: Simplified to (* (cos (* 1/2 eps)) (sin x)) * * * * [misc]progress: [ 54 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (* (sin x) (cos (* 1/2 eps)))) (exp (* (cos x) (sin (* 1/2 eps))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (* (pow (exp (cos x)) (sin (* 1/2 eps))) (pow (exp (sin x)) (cos (* 1/2 eps)))) * [exit]simplify: Simplified to (* (pow (exp (cos x)) (sin (* 1/2 eps))) (pow (exp (sin x)) (cos (* 1/2 eps)))) * * * * [misc]progress: [ 56 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (* (sin x) (cos (* 1/2 eps))) (* (cos x) (sin (* 1/2 eps))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (log (+ (* (cos (* 1/2 eps)) (sin x)) (* (cos x) (sin (* 1/2 eps))))) * [exit]simplify: Simplified to (log (+ (* (cos (* 1/2 eps)) (sin x)) (* (cos x) (sin (* 1/2 eps))))) * * * * [misc]progress: [ 58 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ (* (sin x) (cos (* 1/2 eps))) (* (cos x) (sin (* 1/2 eps))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * [exit]simplify: Simplified to (* (pow (exp (cos x)) (sin (* 1/2 eps))) (pow (exp (sin x)) (cos (* 1/2 eps)))) * [exit]simplify: Simplified to (* (pow (exp (cos x)) (sin (* 1/2 eps))) (pow (exp (sin x)) (cos (* 1/2 eps)))) * * * * [misc]progress: [ 59 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (* (sin x) (cos (* 1/2 eps))) (* (cos x) (sin (* 1/2 eps))))) (cbrt (+ (* (sin x) (cos (* 1/2 eps))) (* (cos x) (sin (* 1/2 eps)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (* (cos (* 1/2 eps)) (sin x)) (* (cos x) (sin (* 1/2 eps))))) (cbrt (+ (* (cos (* 1/2 eps)) (sin x)) (* (cos x) (sin (* 1/2 eps)))))) * [exit]simplify: Simplified to (* (cbrt (+ (* (cos (* 1/2 eps)) (sin x)) (* (cos x) (sin (* 1/2 eps))))) (cbrt (+ (* (cos (* 1/2 eps)) (sin x)) (* (cos x) (sin (* 1/2 eps)))))) * [enter]simplify: Simplifying (cbrt (+ (* (sin x) (cos (* 1/2 eps))) (* (cos x) (sin (* 1/2 eps))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (cbrt (+ (* (cos (* 1/2 eps)) (sin x)) (* (cos x) (sin (* 1/2 eps))))) * [exit]simplify: Simplified to (cbrt (+ (* (cos (* 1/2 eps)) (sin x)) (* (cos x) (sin (* 1/2 eps))))) * * * * [misc]progress: [ 60 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (sin x) (cos (* 1/2 eps))) (* (cos x) (sin (* 1/2 eps)))) (+ (* (sin x) (cos (* 1/2 eps))) (* (cos x) (sin (* 1/2 eps))))) (+ (* (sin x) (cos (* 1/2 eps))) (* (cos x) (sin (* 1/2 eps))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (116 enodes) * * [misc]simplify: iters left: 3 (426 enodes) * [exit]simplify: Simplified to (pow (+ (* (cos (* 1/2 eps)) (sin x)) (* (cos x) (sin (* 1/2 eps)))) 3) * [exit]simplify: Simplified to (pow (+ (* (cos (* 1/2 eps)) (sin x)) (* (cos x) (sin (* 1/2 eps)))) 3) * * * * [misc]progress: [ 61 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* (sin x) (cos (* 1/2 eps))) (* (cos x) (sin (* 1/2 eps))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (cos (* 1/2 eps)) (sin x)) (* (cos x) (sin (* 1/2 eps))))) * [exit]simplify: Simplified to (sqrt (+ (* (cos (* 1/2 eps)) (sin x)) (* (cos x) (sin (* 1/2 eps))))) * [enter]simplify: Simplifying (sqrt (+ (* (sin x) (cos (* 1/2 eps))) (* (cos x) (sin (* 1/2 eps))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (cos (* 1/2 eps)) (sin x)) (* (cos x) (sin (* 1/2 eps))))) * [exit]simplify: Simplified to (sqrt (+ (* (cos (* 1/2 eps)) (sin x)) (* (cos x) (sin (* 1/2 eps))))) * * * * [misc]progress: [ 62 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (* (sin x) (cos (* 1/2 eps))) 3) (pow (* (cos x) (sin (* 1/2 eps))) 3)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (196 enodes) * * [misc]simplify: iters left: 1 (198 enodes) * [exit]simplify: Simplified to (+ (pow (* (cos x) (sin (* 1/2 eps))) 3) (pow (* (cos (* 1/2 eps)) (sin x)) 3)) * [exit]simplify: Simplified to (+ (pow (* (cos x) (sin (* 1/2 eps))) 3) (pow (* (cos (* 1/2 eps)) (sin x)) 3)) * [enter]simplify: Simplifying (+ (* (* (sin x) (cos (* 1/2 eps))) (* (sin x) (cos (* 1/2 eps)))) (- (* (* (cos x) (sin (* 1/2 eps))) (* (cos x) (sin (* 1/2 eps)))) (* (* (sin x) (cos (* 1/2 eps))) (* (cos x) (sin (* 1/2 eps)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (220 enodes) * * [misc]simplify: iters left: 2 (372 enodes) * * [misc]simplify: iters left: 1 (458 enodes) * [exit]simplify: Simplified to (+ (* (* (sin (* 1/2 eps)) (cos x)) (- (* (sin (* 1/2 eps)) (cos x)) (* (cos (* 1/2 eps)) (sin x)))) (* (* (cos (* 1/2 eps)) (sin x)) (* (cos (* 1/2 eps)) (sin x)))) * [exit]simplify: Simplified to (+ (* (* (sin (* 1/2 eps)) (cos x)) (- (* (sin (* 1/2 eps)) (cos x)) (* (cos (* 1/2 eps)) (sin x)))) (* (* (cos (* 1/2 eps)) (sin x)) (* (cos (* 1/2 eps)) (sin x)))) * * * * [misc]progress: [ 63 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (sin x) (cos (* 1/2 eps))) (* (sin x) (cos (* 1/2 eps)))) (* (* (cos x) (sin (* 1/2 eps))) (* (cos x) (sin (* 1/2 eps))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (185 enodes) * * [misc]simplify: iters left: 1 (344 enodes) * [exit]simplify: Simplified to (* (- (* (cos (* 1/2 eps)) (sin x)) (* (sin (* 1/2 eps)) (cos x))) (+ (* (sin (* 1/2 eps)) (cos x)) (* (cos (* 1/2 eps)) (sin x)))) * [exit]simplify: Simplified to (* (- (* (cos (* 1/2 eps)) (sin x)) (* (sin (* 1/2 eps)) (cos x))) (+ (* (sin (* 1/2 eps)) (cos x)) (* (cos (* 1/2 eps)) (sin x)))) * [enter]simplify: Simplifying (- (* (sin x) (cos (* 1/2 eps))) (* (cos x) (sin (* 1/2 eps)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (- (* (cos (* 1/2 eps)) (sin x)) (* (cos x) (sin (* 1/2 eps)))) * [exit]simplify: Simplified to (- (* (cos (* 1/2 eps)) (sin x)) (* (cos x) (sin (* 1/2 eps)))) * * * * [misc]progress: [ 65 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (- (+ (* 1/2 (* x eps)) (exp (* 2 (+ (log 1/2) (log eps))))) (* 1/2 (* (exp (* 2 (+ (log 1/2) (log eps)))) (pow x 2))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (268 enodes) * [exit]simplify: Simplified to (* -2 (- (+ (* eps (* x 1/2)) (* (* eps 1/2) (* eps 1/2))) (* (* (* eps 1/2) (* eps 1/2)) (* (* x 1/2) x)))) * * * * [misc]progress: [ 67 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (* (sin (* 1/2 eps)) (+ (* (sin x) (cos (* 1/2 eps))) (* (cos x) (sin (* 1/2 eps)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (193 enodes) * [exit]simplify: Simplified to (* (+ (* (sin (* eps 1/2)) (cos x)) (* (cos (* eps 1/2)) (sin x))) (* (sin (* eps 1/2)) -2)) * * * * [misc]progress: [ 68 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (* (+ (* (sin x) (cos (* 1/2 eps))) (* (cos x) (sin (* 1/2 eps)))) (sin (* 1/2 eps)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (204 enodes) * * [misc]simplify: iters left: 1 (217 enodes) * [exit]simplify: Simplified to (* (* (sin (* 1/2 eps)) -2) (+ (* (cos (* 1/2 eps)) (sin x)) (* (sin (* 1/2 eps)) (cos x)))) * * * * [misc]progress: [ 69 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (* (+ (* (sin x) (cos (* 1/2 eps))) (- (* 1/2 eps) (+ (* 1/4 (* (pow x 2) eps)) (* 1/48 (pow eps 3))))) (sin (/ eps 2)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (322 enodes) * [exit]simplify: Simplified to (* (- (- (* 1/2 eps) (* (* eps eps) (* eps 1/48))) (- (* (* 1/4 x) (* x eps)) (* (cos (* 1/2 eps)) (sin x)))) (* (sin (/ eps 2)) -2)) * * * * [misc]progress: [ 70 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (* (+ (* (sin x) (cos (* 1/2 eps))) (* (cos x) (sin (* 1/2 eps)))) (sin (/ eps 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (224 enodes) * * [misc]simplify: iters left: 1 (252 enodes) * [exit]simplify: Simplified to (* (+ (* (cos (* 1/2 eps)) (sin x)) (* (sin (* 1/2 eps)) (cos x))) (* -2 (sin (/ eps 2)))) * * * * [misc]progress: [ 71 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (* (+ (* (sin x) (cos (* 1/2 eps))) (* (cos x) (sin (* 1/2 eps)))) (sin (/ eps 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (224 enodes) * * [misc]simplify: iters left: 1 (252 enodes) * [exit]simplify: Simplified to (* (+ (* (cos (* 1/2 eps)) (sin x)) (* (sin (* 1/2 eps)) (cos x))) (* -2 (sin (/ eps 2)))) * * * * [misc]progress: [ 72 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (* (+ (- x (+ (* 1/8 (* x (pow eps 2))) (* 1/6 (pow x 3)))) (* (cos x) (sin (* 1/2 eps)))) (sin (/ eps 2)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (343 enodes) * [exit]simplify: Simplified to (* (+ (* (cos x) (sin (* 1/2 eps))) (- (- x (* (* x x) (* 1/6 x))) (* (* 1/8 x) (* eps eps)))) (* (sin (/ eps 2)) -2)) * * * * [misc]progress: [ 73 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (* (+ (* (sin x) (cos (* 1/2 eps))) (* (cos x) (sin (* 1/2 eps)))) (sin (/ eps 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (224 enodes) * * [misc]simplify: iters left: 1 (252 enodes) * [exit]simplify: Simplified to (* (+ (* (cos (* 1/2 eps)) (sin x)) (* (sin (* 1/2 eps)) (cos x))) (* -2 (sin (/ eps 2)))) * * * * [misc]progress: [ 74 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (* (+ (* (sin x) (cos (* 1/2 eps))) (* (cos x) (sin (* 1/2 eps)))) (sin (/ eps 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (224 enodes) * * [misc]simplify: iters left: 1 (252 enodes) * [exit]simplify: Simplified to (* (+ (* (cos (* 1/2 eps)) (sin x)) (* (sin (* 1/2 eps)) (cos x))) (* -2 (sin (/ eps 2)))) * * * * [misc]progress: [ 75 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (* (- (+ x (* 1/2 eps)) (* 1/6 (pow x 3))) (sin (/ eps 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (264 enodes) * [exit]simplify: Simplified to (* (* (sin (/ eps 2)) -2) (- (+ x (* 1/2 eps)) (* (* 1/6 x) (* x x)))) * * * * [misc]progress: [ 76 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (* (+ (* (sin x) (cos (* 1/2 eps))) (* (cos x) (sin (* 1/2 eps)))) (sin (/ eps 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (224 enodes) * * [misc]simplify: iters left: 1 (252 enodes) * [exit]simplify: Simplified to (* (+ (* (cos (* 1/2 eps)) (sin x)) (* (sin (* 1/2 eps)) (cos x))) (* -2 (sin (/ eps 2)))) * * * * [misc]progress: [ 77 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (* (+ (* (sin x) (cos (* 1/2 eps))) (* (cos x) (sin (* 1/2 eps)))) (sin (/ eps 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (224 enodes) * * [misc]simplify: iters left: 1 (252 enodes) * [exit]simplify: Simplified to (* (+ (* (cos (* 1/2 eps)) (sin x)) (* (sin (* 1/2 eps)) (cos x))) (* -2 (sin (/ eps 2)))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# # # # # # # # # # # # # # # # #) * [misc]regimes: Found splitpoints: (#s(sp 0 x +nan.0)) , with alts (#) * [enter]simplify: Simplifying (* (sin x) (cos (* 1/2 eps))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (* (cos (* 1/2 eps)) (sin x)) * [exit]simplify: Simplified to (* (cos (* 1/2 eps)) (sin x)) * [enter]simplify: Simplifying (* (cos x) (sin (* 1/2 eps))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (* (sin (* 1/2 eps)) (cos x)) * [exit]simplify: Simplified to (* (sin (* 1/2 eps)) (cos x)) * * * * [misc]points: Sampling 8000 additional inputs, on iter 0 have 0 / 8000 * * * * [misc]points: Computing exacts on every 500 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 250 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 125 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 62 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 31 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 15 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 7 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 3 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts for 8000 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 8000 points with exact outputs