* [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: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Setting MPFR precision to 1856 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1856 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 1856 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 256 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (- (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 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 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 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) into (cos eps) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos eps) into (cos eps) * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ -1 (cos eps)) 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 0 into 0 * [misc]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 1 into 1 * [misc]backup-simplify: Simplify (sin eps) into (sin eps) * [misc]backup-simplify: Simplify (sin eps) into (sin eps) * [misc]backup-simplify: Simplify (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) into (sin 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 into 0 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (* -1/2 (cos eps)) into (* -1/2 (cos 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 (cos eps)) into (* -1/2 (cos eps)) * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 (* -1/2 (cos eps))) 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 into 1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1/6 into -1/6 * [misc]backup-simplify: Simplify (* -1/6 (sin eps)) into (* -1/6 (sin eps)) * [misc]backup-simplify: Simplify (* -1/6 (sin eps)) into (* -1/6 (sin eps)) * [misc]backup-simplify: Simplify (* -1/6 (sin eps)) into (* -1/6 (sin eps)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1/6 (sin eps)) 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1/24 into 1/24 * [misc]backup-simplify: Simplify (* 1/24 (cos eps)) into (* 1/24 (cos 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 (* 1/24 (cos eps)) into (* 1/24 (cos eps)) * [misc]backup-simplify: Simplify 1/24 into 1/24 * [misc]backup-simplify: Simplify -1/24 into -1/24 * [misc]backup-simplify: Simplify (+ -1/24 (* 1/24 (cos eps))) 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 into 1/24 * [misc]backup-simplify: Simplify -1/24 into -1/24 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1/6 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 2)) (* eps x))) into (- (* eps x) (+ (* 1/6 (* eps (pow x 3))) (* 1/2 (pow eps 2)))) * [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 into 1 * [misc]backup-simplify: Simplify 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 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 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 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 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 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 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 x)) (cos (+ (/ 1 eps) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (+ (cos (/ 1 x)) (cos (+ (/ 1 eps) (/ 1 x)))) 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 (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 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 into 1 * [misc]backup-simplify: Simplify (cos (+ (/ 1 eps) (/ 1 x))) into (cos (+ (/ 1 eps) (/ 1 x))) * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (+ (cos (/ 1 x)) (cos (+ (/ 1 eps) (/ 1 x)))) into (+ (cos (/ 1 x)) (cos (+ (/ 1 eps) (/ 1 x)))) * [misc]backup-simplify: Simplify (+ (cos (/ 1 x)) (cos (+ (/ 1 eps) (/ 1 x)))) into (+ (cos (/ 1 x)) (cos (+ (/ 1 eps) (/ 1 x)))) * [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]backup-simplify: Simplify (* (/ 1 x) (/ 0 x)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 1 x) (/ 0 x)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 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 x))) (cos (+ (/ 1 (/ 1 eps)) (/ 1 (/ 1 x))))) into (+ (cos x) (cos (+ eps 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 into -1 * [misc]backup-simplify: Simplify -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 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 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 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 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 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 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 x)) (cos (- (+ (/ 1 eps) (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (+ (cos (/ -1 x)) (cos (- (+ (/ 1 eps) (/ 1 x))))) 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 -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]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 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 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 x)) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (+ (cos (/ -1 x)) (cos (- (+ (/ 1 eps) (/ 1 x))))) into (+ (cos (/ -1 x)) (cos (- (+ (/ 1 eps) (/ 1 x))))) * [misc]backup-simplify: Simplify (+ (cos (/ -1 x)) (cos (- (+ (/ 1 eps) (/ 1 x))))) into (+ (cos (/ -1 x)) (cos (- (+ (/ 1 eps) (/ 1 x))))) * [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]backup-simplify: Simplify (+ (/ 0 x) (* (/ -1 x) (/ 0 x))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 x) (* (/ -1 x) (/ 0 x))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 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 (- x)))) (cos (- (+ (/ 1 (/ 1 (- eps))) (/ 1 (/ 1 (- x))))))) into (+ (cos x) (cos (+ eps 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 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 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 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) into (cos eps) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos eps) 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 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (sin eps) into (sin eps) * [misc]backup-simplify: Simplify (sin eps) into (sin eps) * [misc]backup-simplify: Simplify (sin eps) into (sin 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 -1/2 into -1/2 * [misc]backup-simplify: Simplify (* -1/2 (cos eps)) into (* -1/2 (cos 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 (cos eps)) 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 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 into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 (+ (* eps x) (* -1/2 (pow x 2)))) into (- (+ (* eps x) 1) (* 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 into 1 * [misc]backup-simplify: Simplify 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 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 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 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 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 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 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 (+ eps x)) * [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 into -1 * [misc]backup-simplify: Simplify -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 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 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 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 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 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 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 (+ eps x)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (cos (+ x eps))) (cbrt (cos (+ x eps)))) (cbrt (cos (+ x eps))) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (- (cos (+ eps x)) (cos x)) * [exit]simplify: Simplified to (- (cos (+ eps x)) (cos x)) * [enter]simplify: Simplifying (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 2 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (cos (+ x eps))) (cbrt (cos (+ x eps)))) (cbrt (cos (+ x eps))) (- (* (sqrt (cos x)) (sqrt (cos x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (- (cos (+ eps x)) (cos x)) * [exit]simplify: Simplified to (- (cos (+ eps x)) (cos x)) * [enter]simplify: Simplifying (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 3 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (cos (+ x eps))) (cbrt (cos (+ x eps)))) (cbrt (cos (+ x eps))) (- (* (cos x) 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (- (cos (+ eps x)) (cos x)) * [exit]simplify: Simplified to (- (cos (+ eps x)) (cos x)) * [enter]simplify: Simplifying (fma (- (cos x)) 1 (* (cos x) 1)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (- (cos x) (cos x)) * [exit]simplify: Simplified to (- (cos x) (cos x)) * * * * [misc]progress: [ 4 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (cos (+ x eps))) (sqrt (cos (+ x eps))) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * [exit]simplify: Simplified to (- (cos (+ eps x)) (cos x)) * [exit]simplify: Simplified to (- (cos (+ eps x)) (cos x)) * [enter]simplify: Simplifying (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 5 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (cos (+ x eps))) (sqrt (cos (+ x eps))) (- (* (sqrt (cos x)) (sqrt (cos x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (- (cos (+ eps x)) (cos x)) * [exit]simplify: Simplified to (- (cos (+ eps x)) (cos x)) * [enter]simplify: Simplifying (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 6 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (cos (+ x eps))) (sqrt (cos (+ x eps))) (- (* (cos x) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (- (cos (+ eps x)) (cos x)) * [exit]simplify: Simplified to (- (cos (+ eps x)) (cos x)) * [enter]simplify: Simplifying (fma (- (cos x)) 1 (* (cos x) 1)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (- (cos x) (cos x)) * [exit]simplify: Simplified to (- (cos x) (cos x)) * * * * [misc]progress: [ 7 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (cos (+ x eps)) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * [exit]simplify: Simplified to (- (cos (+ x eps)) (cos x)) * [exit]simplify: Simplified to (- (cos (+ x eps)) (cos x)) * [enter]simplify: Simplifying (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 8 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (cos (+ x eps)) (- (* (sqrt (cos x)) (sqrt (cos x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (- (cos (+ x eps)) (cos x)) * [exit]simplify: Simplified to (- (cos (+ x eps)) (cos x)) * [enter]simplify: Simplifying (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 9 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (cos (+ x eps)) (- (* (cos x) 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (- (cos (+ x eps)) (cos x)) * [exit]simplify: Simplified to (- (cos (+ x eps)) (cos x)) * [enter]simplify: Simplifying (fma (- (cos x)) 1 (* (cos x) 1)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (- (cos x) (cos x)) * [exit]simplify: Simplified to (- (cos x) (cos x)) * * * * [misc]progress: [ 10 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (- (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 (expm1 (- (cos (+ eps x)) (cos x))) * [exit]simplify: Simplified to (expm1 (- (cos (+ eps x)) (cos x))) * * * * [misc]progress: [ 11 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (- (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 (log1p (- (cos (+ eps x)) (cos x))) * [exit]simplify: Simplified to (log1p (- (cos (+ eps x)) (cos x))) * * * * [misc]progress: [ 12 / 46 ] 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: [ 13 / 46 ] 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: [ 14 / 46 ] 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: [ 15 / 46 ] 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 (/ eps 2)) (sin (/ (+ x (+ eps x)) 2))) * [exit]simplify: Simplified to (* (sin (/ eps 2)) (sin (/ (+ x (+ eps x)) 2))) * * * * [misc]progress: [ 16 / 46 ] 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: [ 17 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 46 ] 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: [ 19 / 46 ] 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: [ 20 / 46 ] 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: [ 21 / 46 ] 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 (87 enodes) * * [misc]simplify: iters left: 2 (302 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: [ 22 / 46 ] 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: [ 23 / 46 ] 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 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (fma (* (cos (+ eps x)) (cos (+ eps x))) (cos (+ eps x)) (* (* (cos x) (cos x)) (- (cos x)))) * [exit]simplify: Simplified to (fma (* (cos (+ eps x)) (cos (+ eps x))) (cos (+ eps x)) (* (* (cos x) (cos x)) (- (cos x)))) * [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 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (fma (cos x) (+ (cos x) (cos (+ eps x))) (* (cos (+ eps x)) (cos (+ eps x)))) * [exit]simplify: Simplified to (fma (cos x) (+ (cos x) (cos (+ eps x))) (* (cos (+ eps x)) (cos (+ eps x)))) * * * * [misc]progress: [ 24 / 46 ] 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: [ 25 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 46 ] 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 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (163 enodes) * [exit]simplify: Simplified to (- (* (cos (+ eps x)) (cos (+ eps x))) (* (cos x) (cos x))) * [exit]simplify: Simplified to (- (* (cos (+ eps x)) (cos (+ eps x))) (* (cos 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: [ 27 / 46 ] 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 (+ eps x))) (sqrt (cos x))) * [exit]simplify: Simplified to (+ (sqrt (cos (+ eps x))) (sqrt (cos 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: [ 28 / 46 ] 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: [ 29 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (sin x) (sin eps)) (cos x)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (fma (sin eps) (sin x) (cos x)) * [exit]simplify: Simplified to (fma (sin eps) (sin x) (cos x)) * * * * [misc]progress: [ 30 / 46 ] 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: [ 31 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (cos (+ x eps))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (expm1 (cos (+ eps x))) * [exit]simplify: Simplified to (expm1 (cos (+ eps x))) * * * * [misc]progress: [ 32 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (cos (+ x eps))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (log1p (cos (+ eps x))) * [exit]simplify: Simplified to (log1p (cos (+ eps x))) * * * * [misc]progress: [ 33 / 46 ] 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: [ 34 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 46 ] 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: [ 36 / 46 ] 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: [ 37 / 46 ] 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: [ 38 / 46 ] 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: [ 39 / 46 ] 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: [ 40 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* eps x) (+ (* 1/6 (* eps (pow x 3))) (* 1/2 (pow eps 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * * [misc]simplify: iters left: 2 (458 enodes) * [exit]simplify: Simplified to (fma (- eps) (fma (* x x) (* 1/6 x) (* eps 1/2)) (* x eps)) * * * * [misc]progress: [ 42 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (cos x) (cos (+ eps x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (+ (cos x) (cos (+ x eps))) * * * * [misc]progress: [ 43 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (cos x) (cos (+ eps x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (+ (cos x) (cos (+ x eps))) * * * * [misc]progress: [ 44 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ (* eps x) 1) (* 1/2 (pow x 2))) (cos x)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (281 enodes) * * [misc]simplify: iters left: 1 (466 enodes) * [exit]simplify: Simplified to (fma x (- eps (* 1/2 x)) (- 1 (cos x))) * * * * [misc]progress: [ 45 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (- (cos (+ eps x)) (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 (+ x eps)) (cos x)) * * * * [misc]progress: [ 46 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (- (cos (+ eps x)) (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 (+ x eps)) (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 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 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 2) * [misc]approximate: Taking taylor expansion of (sin (/ (+ x (+ eps x)) 2)) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (sin (/ (+ x (+ eps x)) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ x (+ eps x)) 2) in eps * [misc]taylor: Taking taylor expansion of (+ x (+ eps 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 (+ eps x) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (+ x x) 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 (+ eps x)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ x (+ eps x)) 2) in x * [misc]taylor: Taking taylor expansion of (+ x (+ eps 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 (+ eps x) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify 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 (+ eps x)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ x (+ eps x)) 2) in x * [misc]taylor: Taking taylor expansion of (+ x (+ eps 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 (+ eps x) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify 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)) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (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 0 into 0 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (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 0 into 0 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (* -1/2 (sin (* 1/2 eps))) into (* -1/2 (sin (* 1/2 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 (* -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 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 0 into 0 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1/6 into -1/6 * [misc]backup-simplify: Simplify (* -1/6 (cos (* 1/2 eps))) into (* -1/6 (cos (* 1/2 eps))) * [misc]backup-simplify: Simplify (* -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 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 0 into 0 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 x 3)) (+ (* 1/2 eps) x)) into (- (+ (* 1/2 eps) x) (* 1/6 (pow x 3))) * [misc]approximate: Taking taylor expansion of (sin (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (sin (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (+ (/ 1 eps) (/ 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 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 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]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (sin (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) into (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (sin (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (+ (/ 1 eps) (/ 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 into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (sin (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) into (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (sin (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (+ (/ 1 eps) (/ 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 into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (sin (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 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 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 into 1 * [misc]backup-simplify: Simplify 1/2 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 (+ eps (* 2 x)))) * [misc]approximate: Taking taylor expansion of (sin (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (sin (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 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 (- eps)) (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (sin (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) into (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (sin (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 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 into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- eps)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (sin (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) into (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (sin (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 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 into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- eps)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (sin (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 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 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 into 1 * [misc]backup-simplify: Simplify -1/2 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 (+ eps (* 2 x)))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (* (sin (/ eps 2)) (sin (/ (+ x (+ eps x)) 2))) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (/ eps 2)) (sin (/ (+ x (+ eps x)) 2))) in x * [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 (+ eps x)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ x (+ eps x)) 2) in x * [misc]taylor: Taking taylor expansion of (+ x (+ eps 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 (+ eps x) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify 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)) (sin (/ (+ x (+ eps x)) 2))) in eps * [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 (+ eps x)) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ x (+ eps x)) 2) in eps * [misc]taylor: Taking taylor expansion of (+ x (+ eps 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 (+ eps x) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (+ x x) 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)) (sin (/ (+ x (+ eps x)) 2))) in eps * [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 (+ eps x)) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ x (+ eps x)) 2) in eps * [misc]taylor: Taking taylor expansion of (+ x (+ eps 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 (+ eps x) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (+ x x) 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]backup-simplify: Simplify (sin x) into (sin x) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/2 (cos x)) into (* 1/2 (cos x)) * [misc]backup-simplify: Simplify (* 1/2 (cos x)) into (* 1/2 (cos x)) * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/2 (sin x)) into (* 1/2 (sin x)) * [misc]taylor: Taking taylor expansion of (* 1/2 (sin x)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1/8 into -1/8 * [misc]backup-simplify: Simplify (* -1/8 (sin x)) into (* -1/8 (sin x)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1/8 (sin x)) into (* -1/8 (sin x)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/2 (* 1/2 (cos x))) into (* 1/4 (cos x)) * [misc]taylor: Taking taylor expansion of (* 1/4 (cos x)) in x * [misc]taylor: Taking taylor expansion of 1/4 in x * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1/48 into -1/48 * [misc]backup-simplify: Simplify (* -1/48 (cos x)) into (* -1/48 (cos x)) * [misc]backup-simplify: Simplify (* -1/48 (cos x)) into (* -1/48 (cos x)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1/48 into -1/48 * [misc]backup-simplify: Simplify (+ (* 1/2 (* -1/8 (sin x))) (* -1/48 (sin x))) into (- (* 1/12 (sin x))) * [misc]taylor: Taking taylor expansion of (- (* 1/12 (sin x))) in x * [misc]taylor: Taking taylor expansion of (* 1/12 (sin x)) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1/384 into 1/384 * [misc]backup-simplify: Simplify (* 1/384 (sin x)) into (* 1/384 (sin x)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/384 (sin x)) into (* 1/384 (sin x)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (* -1/48 (cos x))) (* -1/48 (* 1/2 (cos x)))) into (- (* 1/48 (cos x))) * [misc]taylor: Taking taylor expansion of (- (* 1/48 (cos x))) in x * [misc]taylor: Taking taylor expansion of (* 1/48 (cos x)) in x * [misc]taylor: Taking taylor expansion of 1/48 in x * [misc]backup-simplify: Simplify 1/48 into 1/48 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1/48 into 1/48 * [misc]backup-simplify: Simplify -1/48 into -1/48 * [misc]backup-simplify: Simplify -1/48 into -1/48 * [misc]backup-simplify: Simplify (+ (* -1/48 (pow eps 4)) (+ (* 1/2 (* x eps)) (* 1/4 (pow eps 2)))) into (- (+ (* 1/2 (* eps x)) (* 1/4 (pow eps 2))) (* 1/48 (pow eps 4))) * [misc]approximate: Taking taylor expansion of (* (sin (/ (/ 1 eps) 2)) (sin (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2))) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (/ (/ 1 eps) 2)) (sin (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2))) in 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 eps) (/ 1 x))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (+ (/ 1 eps) (/ 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 into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (sin (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) into (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (* (sin (/ (/ 1 eps) 2)) (sin (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2))) in 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 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 eps) (/ 1 x))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (+ (/ 1 eps) (/ 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 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 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]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (sin (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) into (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (* (sin (/ (/ 1 eps) 2)) (sin (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2))) in 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 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 eps) (/ 1 x))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (+ (/ 1 eps) (/ 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 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 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]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (sin (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) into (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) in x * [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 (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [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 into 1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [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 eps)) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sin (/ 1/2 eps)) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 eps) (* (/ 1/2 eps) (/ 0 eps))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 eps) (* (/ 1/2 eps) (/ 0 eps))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (sin (/ 1/2 (/ 1 eps))) (sin (* 1/2 (+ (/ 1 (/ 1 eps)) (* 2 (/ 1 (/ 1 x))))))) into (* (sin (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))) * [misc]approximate: Taking taylor expansion of (* (sin (/ (/ 1 (- eps)) 2)) (sin (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2))) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (/ (/ 1 (- eps)) 2)) (sin (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2))) in 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 (- eps)) (/ 1 (- x)))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 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 into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- eps)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (sin (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) into (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (* (sin (/ (/ 1 (- eps)) 2)) (sin (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2))) in 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 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 (- eps)) (/ 1 (- x)))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 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 (- eps)) (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (sin (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) into (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (* (sin (/ (/ 1 (- eps)) 2)) (sin (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2))) in 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 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 (- eps)) (/ 1 (- x)))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 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 (- eps)) (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (sin (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) into (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]taylor: Taking taylor expansion of (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) in x * [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 (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of -1/2 in x * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [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 into 1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify -1 into -1 * [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 eps)) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sin (/ -1/2 eps)) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 eps) (* (/ -1/2 eps) (/ 0 eps))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 eps) (* (/ -1/2 eps) (/ 0 eps))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (sin (/ -1/2 (/ 1 (- eps)))) (sin (* -1/2 (+ (/ 1 (/ 1 (- eps))) (* 2 (/ 1 (/ 1 (- x)))))))) into (* (sin (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 2 1 1) * [misc]approximate: Taking taylor expansion of (+ x (+ eps x)) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (+ x (+ eps 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 (+ eps x) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of (+ x (+ eps 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 (+ eps x) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ x (+ eps 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 (+ eps x) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify eps into 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 2 into 2 * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [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]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]backup-simplify: Simplify (+ eps (* 2 x)) into (+ eps (* 2 x)) * [misc]approximate: Taking taylor expansion of (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (+ (/ 1 eps) (/ 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 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 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]taylor: Taking taylor expansion of (+ (/ 1 x) (+ (/ 1 eps) (/ 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 into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (+ (/ 1 eps) (/ 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 into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 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 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 1 eps) (/ 0 eps)) 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 1 eps) (/ 0 eps)) 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 0 into 0 * [misc]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 eps) (/ 0 eps)) 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 (+ (* 2 (/ 1 (/ 1 x))) (/ 1 (/ 1 eps))) into (+ eps (* 2 x)) * [misc]approximate: Taking taylor expansion of (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 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 (- eps)) (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 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 into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- eps)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 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 into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- eps)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of -2 in eps * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 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 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (* (/ 1 eps) (/ 0 eps)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 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)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 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)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (/ 1 (/ 1 (- x)))) (/ 1 (/ 1 (- eps)))) into (- (* 2 x) eps) * * * * [misc]progress: [ 4 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* -2 (* (sin (/ eps 2)) (sin (/ (+ x (+ eps x)) 2)))) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (* -2 (* (sin (/ eps 2)) (sin (/ (+ x (+ eps x)) 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 (/ eps 2)) (sin (/ (+ x (+ eps x)) 2))) in x * [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 (+ eps x)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ x (+ eps x)) 2) in x * [misc]taylor: Taking taylor expansion of (+ x (+ eps 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 (+ eps x) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify 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 (* -2 (* (sin (/ eps 2)) (sin (/ (+ x (+ eps x)) 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 (/ eps 2)) (sin (/ (+ x (+ eps x)) 2))) in eps * [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 (+ eps x)) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ x (+ eps x)) 2) in eps * [misc]taylor: Taking taylor expansion of (+ x (+ eps 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 (+ eps x) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (+ x x) 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 (* -2 (* (sin (/ eps 2)) (sin (/ (+ x (+ eps x)) 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 (/ eps 2)) (sin (/ (+ x (+ eps x)) 2))) in eps * [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 (+ eps x)) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ x (+ eps x)) 2) in eps * [misc]taylor: Taking taylor expansion of (+ x (+ eps 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 (+ eps x) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (+ x x) 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]backup-simplify: Simplify (sin x) into (sin x) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/2 (cos x)) into (* 1/2 (cos x)) * [misc]backup-simplify: Simplify (* 1/2 (cos x)) into (* 1/2 (cos x)) * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/2 (sin x)) into (* 1/2 (sin x)) * [misc]backup-simplify: Simplify (* -2 (* 1/2 (sin x))) into (* -1 (sin x)) * [misc]taylor: Taking taylor expansion of (* -1 (sin x)) in x * [misc]taylor: Taking taylor expansion of -1 in x * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1/8 into -1/8 * [misc]backup-simplify: Simplify (* -1/8 (sin x)) into (* -1/8 (sin x)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1/8 (sin x)) into (* -1/8 (sin x)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/2 (* 1/2 (cos x))) into (* 1/4 (cos x)) * [misc]backup-simplify: Simplify (* -2 (* 1/4 (cos x))) into (* -1/2 (cos x)) * [misc]taylor: Taking taylor expansion of (* -1/2 (cos x)) in x * [misc]taylor: Taking taylor expansion of -1/2 in x * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1/48 into -1/48 * [misc]backup-simplify: Simplify (* -1/48 (cos x)) into (* -1/48 (cos x)) * [misc]backup-simplify: Simplify (* -1/48 (cos x)) into (* -1/48 (cos x)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1/48 into -1/48 * [misc]backup-simplify: Simplify (+ (* 1/2 (* -1/8 (sin x))) (* -1/48 (sin x))) into (- (* 1/12 (sin x))) * [misc]backup-simplify: Simplify (* -2 (- (* 1/12 (sin x)))) into (* 1/6 (sin x)) * [misc]taylor: Taking taylor expansion of (* 1/6 (sin x)) in x * [misc]taylor: Taking taylor expansion of 1/6 in x * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1/384 into 1/384 * [misc]backup-simplify: Simplify (* 1/384 (sin x)) into (* 1/384 (sin x)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/384 (sin x)) into (* 1/384 (sin x)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (* -1/48 (cos x))) (* -1/48 (* 1/2 (cos x)))) into (- (* 1/48 (cos x))) * [misc]backup-simplify: Simplify (* -2 (- (* 1/48 (cos x)))) into (* 1/24 (cos x)) * [misc]taylor: Taking taylor expansion of (* 1/24 (cos x)) in x * [misc]taylor: Taking taylor expansion of 1/24 in x * [misc]backup-simplify: Simplify 1/24 into 1/24 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1/24 into 1/24 * [misc]backup-simplify: Simplify 1/24 into 1/24 * [misc]backup-simplify: Simplify (+ (* 1/24 (pow eps 4)) (+ (* -1 (* x eps)) (* -1/2 (pow eps 2)))) into (- (* 1/24 (pow eps 4)) (+ (* eps x) (* 1/2 (pow eps 2)))) * [misc]approximate: Taking taylor expansion of (* -2 (* (sin (/ (/ 1 eps) 2)) (sin (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)))) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (* -2 (* (sin (/ (/ 1 eps) 2)) (sin (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 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 eps) 2)) (sin (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2))) in 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 eps) (/ 1 x))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (+ (/ 1 eps) (/ 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 into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (sin (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) into (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (* -2 (* (sin (/ (/ 1 eps) 2)) (sin (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 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 eps) 2)) (sin (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2))) in 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 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 eps) (/ 1 x))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (+ (/ 1 eps) (/ 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 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 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]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (sin (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) into (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (* -2 (* (sin (/ (/ 1 eps) 2)) (sin (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 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 eps) 2)) (sin (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2))) in 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 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 eps) (/ 1 x))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (+ (/ 1 eps) (/ 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 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 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]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (sin (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) into (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]backup-simplify: Simplify (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) * [misc]taylor: Taking taylor expansion of (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 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 (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) in x * [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 (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [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 into 1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [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 eps)) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sin (/ 1/2 eps)) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]backup-simplify: Simplify (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) * [misc]backup-simplify: Simplify (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 eps) (* (/ 1/2 eps) (/ 0 eps))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 eps) (* (/ 1/2 eps) (/ 0 eps))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -2 (* (sin (/ 1/2 (/ 1 eps))) (sin (* 1/2 (+ (/ 1 (/ 1 eps)) (* 2 (/ 1 (/ 1 x)))))))) into (* -2 (* (sin (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))) * [misc]approximate: Taking taylor expansion of (* -2 (* (sin (/ (/ 1 (- eps)) 2)) (sin (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)))) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (* -2 (* (sin (/ (/ 1 (- eps)) 2)) (sin (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 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 (- eps)) 2)) (sin (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2))) in 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 (- eps)) (/ 1 (- x)))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 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 into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- eps)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (sin (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) into (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (* -2 (* (sin (/ (/ 1 (- eps)) 2)) (sin (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 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 (- eps)) 2)) (sin (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2))) in 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 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 (- eps)) (/ 1 (- x)))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 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 (- eps)) (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (sin (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) into (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (* -2 (* (sin (/ (/ 1 (- eps)) 2)) (sin (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 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 (- eps)) 2)) (sin (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2))) in 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 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 (- eps)) (/ 1 (- x)))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 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 (- eps)) (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (sin (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) into (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]backup-simplify: Simplify (* -2 (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into (* -2 (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) * [misc]taylor: Taking taylor expansion of (* -2 (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 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 (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) in x * [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 (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of -1/2 in x * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [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 into 1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify -1 into -1 * [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 eps)) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sin (/ -1/2 eps)) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]backup-simplify: Simplify (* -2 (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into (* -2 (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) * [misc]backup-simplify: Simplify (* -2 (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into (* -2 (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 eps) (* (/ -1/2 eps) (/ 0 eps))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 eps) (* (/ -1/2 eps) (/ 0 eps))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -2 (* (sin (/ -1/2 (/ 1 (- eps)))) (sin (* -1/2 (+ (/ 1 (/ 1 (- eps))) (* 2 (/ 1 (/ 1 (- x))))))))) into (* -2 (* (sin (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sin (/ (+ x (+ eps x)) 2))) * * [misc]simplify: iters left: 6 (8 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 (expm1 (sin (/ (+ x (+ eps x)) 2))) * [exit]simplify: Simplified to (expm1 (sin (/ (+ x (+ eps x)) 2))) * * * * [misc]progress: [ 2 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sin (/ (+ x (+ eps x)) 2))) * * [misc]simplify: iters left: 6 (8 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 (log1p (sin (/ (+ x (+ eps x)) 2))) * [exit]simplify: Simplified to (log1p (sin (/ (+ x (+ eps x)) 2))) * * * * [misc]progress: [ 3 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sin (/ (+ x (+ eps x)) 2))) * * [misc]simplify: iters left: 6 (8 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 (log (sin (/ (+ x (+ eps x)) 2))) * [exit]simplify: Simplified to (log (sin (/ (+ x (+ eps x)) 2))) * * * * [misc]progress: [ 5 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sin (/ (+ x (+ eps x)) 2))) * * [misc]simplify: iters left: 6 (8 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 (exp (sin (/ (+ x (+ eps x)) 2))) * [exit]simplify: Simplified to (exp (sin (/ (+ x (+ eps x)) 2))) * * * * [misc]progress: [ 6 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sin (/ (+ x (+ eps x)) 2))) (cbrt (sin (/ (+ x (+ eps x)) 2)))) * * [misc]simplify: iters left: 6 (9 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 (+ eps x)) 2))) (cbrt (sin (/ (+ x (+ eps x)) 2)))) * [exit]simplify: Simplified to (* (cbrt (sin (/ (+ x (+ eps x)) 2))) (cbrt (sin (/ (+ x (+ eps x)) 2)))) * [enter]simplify: Simplifying (cbrt (sin (/ (+ x (+ eps x)) 2))) * * [misc]simplify: iters left: 6 (8 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 (sin (/ (+ x (+ eps x)) 2))) * [exit]simplify: Simplified to (cbrt (sin (/ (+ x (+ eps x)) 2))) * * * * [misc]progress: [ 7 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sin (/ (+ x (+ eps x)) 2)) (sin (/ (+ x (+ eps x)) 2))) (sin (/ (+ x (+ eps x)) 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (pow (sin (/ (+ x (+ eps x)) 2)) 3) * [exit]simplify: Simplified to (pow (sin (/ (+ x (+ eps x)) 2)) 3) * * * * [misc]progress: [ 8 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sin (/ (+ x (+ eps x)) 2))) * * [misc]simplify: iters left: 6 (8 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 (sin (/ (+ x (+ eps x)) 2))) * [exit]simplify: Simplified to (sqrt (sin (/ (+ x (+ eps x)) 2))) * [enter]simplify: Simplifying (sqrt (sin (/ (+ x (+ eps x)) 2))) * * [misc]simplify: iters left: 6 (8 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 (sin (/ (+ x (+ eps x)) 2))) * [exit]simplify: Simplified to (sqrt (sin (/ (+ x (+ eps x)) 2))) * * * * [misc]progress: [ 9 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (sin (/ eps 2)) (sin (/ (+ x (+ eps x)) 2)))) * * [misc]simplify: iters left: 6 (11 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 (expm1 (* (sin (/ (+ (+ x x) eps) 2)) (sin (/ eps 2)))) * [exit]simplify: Simplified to (expm1 (* (sin (/ (+ (+ x x) eps) 2)) (sin (/ eps 2)))) * * * * [misc]progress: [ 11 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (sin (/ eps 2)) (sin (/ (+ x (+ eps x)) 2)))) * * [misc]simplify: iters left: 6 (11 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 (log1p (* (sin (/ (+ (+ x x) eps) 2)) (sin (/ eps 2)))) * [exit]simplify: Simplified to (log1p (* (sin (/ (+ (+ x x) eps) 2)) (sin (/ eps 2)))) * * * * [misc]progress: [ 12 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (- (cos (- (/ eps 2) (/ (+ x (+ eps x)) 2))) (cos (+ (/ eps 2) (/ (+ x (+ eps x)) 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (- (cos (- (/ eps 2) (/ (+ eps (+ x x)) 2))) (cos (+ (/ eps 2) (/ (+ eps (+ x x)) 2)))) * [exit]simplify: Simplified to (- (cos (- (/ eps 2) (/ (+ eps (+ x x)) 2))) (cos (+ (/ eps 2) (/ (+ eps (+ x x)) 2)))) * * * * [misc]progress: [ 13 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (/ eps 2)) (sin (/ (+ x (+ eps x)) 2))) * * [misc]simplify: iters left: 6 (10 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)) (sin (/ eps 2))) * [exit]simplify: Simplified to (* (sin (/ (+ eps (+ x x)) 2)) (sin (/ eps 2))) * * * * [misc]progress: [ 14 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sin (/ eps 2))) (log (sin (/ (+ x (+ eps x)) 2)))) * * [misc]simplify: iters left: 6 (12 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 (+ (log (sin (/ eps 2))) (log (sin (/ (+ (+ x x) eps) 2)))) * [exit]simplify: Simplified to (+ (log (sin (/ eps 2))) (log (sin (/ (+ (+ x x) eps) 2)))) * * * * [misc]progress: [ 16 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (sin (/ eps 2)) (sin (/ (+ x (+ eps x)) 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (log (* (sin (/ (+ (+ x x) eps) 2)) (sin (/ eps 2)))) * [exit]simplify: Simplified to (log (* (sin (/ (+ (+ x x) eps) 2)) (sin (/ eps 2)))) * * * * [misc]progress: [ 17 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (sin (/ eps 2)) (sin (/ (+ x (+ eps x)) 2)))) * * [misc]simplify: iters left: 6 (11 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 (pow (exp (sin (/ eps 2))) (sin (/ (+ x (+ x eps)) 2))) * [exit]simplify: Simplified to (pow (exp (sin (/ eps 2))) (sin (/ (+ x (+ x eps)) 2))) * * * * [misc]progress: [ 18 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sin (/ eps 2)) (sin (/ eps 2))) (sin (/ eps 2))) (* (* (sin (/ (+ x (+ eps x)) 2)) (sin (/ (+ x (+ eps x)) 2))) (sin (/ (+ x (+ eps x)) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * [exit]simplify: Simplified to (pow (* (sin (/ (+ x (+ x eps)) 2)) (sin (/ eps 2))) 3) * [exit]simplify: Simplified to (pow (* (sin (/ (+ x (+ x eps)) 2)) (sin (/ eps 2))) 3) * * * * [misc]progress: [ 19 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sin (/ eps 2)) (sin (/ (+ x (+ eps x)) 2)))) (cbrt (* (sin (/ eps 2)) (sin (/ (+ x (+ eps x)) 2))))) * * [misc]simplify: iters left: 6 (12 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)))) (cbrt (* (sin (/ (+ (+ x x) eps) 2)) (sin (/ eps 2))))) * [exit]simplify: Simplified to (* (cbrt (* (sin (/ (+ (+ x x) eps) 2)) (sin (/ eps 2)))) (cbrt (* (sin (/ (+ (+ x x) eps) 2)) (sin (/ eps 2))))) * [enter]simplify: Simplifying (cbrt (* (sin (/ eps 2)) (sin (/ (+ x (+ eps x)) 2)))) * * [misc]simplify: iters left: 6 (11 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 (cbrt (* (sin (/ (+ (+ x x) eps) 2)) (sin (/ eps 2)))) * [exit]simplify: Simplified to (cbrt (* (sin (/ (+ (+ x x) eps) 2)) (sin (/ eps 2)))) * * * * [misc]progress: [ 20 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sin (/ eps 2)) (sin (/ (+ x (+ eps x)) 2))) (* (sin (/ eps 2)) (sin (/ (+ x (+ eps x)) 2)))) (* (sin (/ eps 2)) (sin (/ (+ x (+ eps x)) 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (pow (* (sin (/ (+ eps (+ x x)) 2)) (sin (/ eps 2))) 3) * [exit]simplify: Simplified to (pow (* (sin (/ (+ eps (+ x x)) 2)) (sin (/ eps 2))) 3) * * * * [misc]progress: [ 21 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (sin (/ eps 2)) (sin (/ (+ x (+ eps x)) 2)))) * * [misc]simplify: iters left: 6 (11 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 (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 (/ eps 2)) (sin (/ (+ x (+ eps x)) 2)))) * * [misc]simplify: iters left: 6 (11 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 (sqrt (* (sin (/ (+ (+ x x) eps) 2)) (sin (/ eps 2)))) * [exit]simplify: Simplified to (sqrt (* (sin (/ (+ (+ x x) eps) 2)) (sin (/ eps 2)))) * * * * [misc]progress: [ 22 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (/ eps 2)) (* (cbrt (sin (/ (+ x (+ eps x)) 2))) (cbrt (sin (/ (+ x (+ eps x)) 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sin (/ (+ (+ x x) eps) 2))) (cbrt (sin (/ (+ (+ x x) eps) 2)))) (sin (/ eps 2))) * [exit]simplify: Simplified to (* (* (cbrt (sin (/ (+ (+ x x) eps) 2))) (cbrt (sin (/ (+ (+ x x) eps) 2)))) (sin (/ eps 2))) * * * * [misc]progress: [ 24 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (/ eps 2)) (sqrt (sin (/ (+ x (+ eps x)) 2)))) * * [misc]simplify: iters left: 6 (11 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 (* (sqrt (sin (/ (+ (+ x x) eps) 2))) (sin (/ eps 2))) * [exit]simplify: Simplified to (* (sqrt (sin (/ (+ (+ x x) eps) 2))) (sin (/ eps 2))) * * * * [misc]progress: [ 25 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (/ eps 2)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (sin (/ eps 2)) * [exit]simplify: Simplified to (sin (/ eps 2)) * * * * [misc]progress: [ 26 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sin (/ eps 2))) (sin (/ (+ x (+ eps x)) 2))) * * [misc]simplify: iters left: 6 (11 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)) (cbrt (sin (/ eps 2)))) * [exit]simplify: Simplified to (* (sin (/ (+ (+ x x) eps) 2)) (cbrt (sin (/ eps 2)))) * * * * [misc]progress: [ 27 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sin (/ eps 2))) (sin (/ (+ x (+ eps x)) 2))) * * [misc]simplify: iters left: 6 (11 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)) (sqrt (sin (/ eps 2)))) * [exit]simplify: Simplified to (* (sin (/ (+ (+ x x) eps) 2)) (sqrt (sin (/ eps 2)))) * * * * [misc]progress: [ 28 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (/ eps 2)) (sin (/ (+ x (+ eps x)) 2))) * * [misc]simplify: iters left: 6 (10 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)) (sin (/ eps 2))) * [exit]simplify: Simplified to (* (sin (/ (+ eps (+ x x)) 2)) (sin (/ eps 2))) * * * * [misc]progress: [ 29 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (+ x (+ eps x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (expm1 (+ x (+ eps x))) * [exit]simplify: Simplified to (expm1 (+ x (+ eps x))) * * * * [misc]progress: [ 31 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (+ x (+ eps x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (log1p (+ x (+ eps x))) * [exit]simplify: Simplified to (log1p (+ x (+ eps x))) * * * * [misc]progress: [ 32 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ x (+ eps x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (log (+ x (+ eps x))) * [exit]simplify: Simplified to (log (+ x (+ eps x))) * * * * [misc]progress: [ 34 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ x (+ eps x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * [exit]simplify: Simplified to (exp (+ x (+ eps x))) * [exit]simplify: Simplified to (exp (+ x (+ eps x))) * * * * [misc]progress: [ 35 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ x (+ eps x))) (cbrt (+ x (+ eps x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (* (cbrt (+ x (+ eps x))) (cbrt (+ x (+ eps x)))) * [exit]simplify: Simplified to (* (cbrt (+ x (+ eps x))) (cbrt (+ x (+ eps x)))) * [enter]simplify: Simplifying (cbrt (+ x (+ eps x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (cbrt (+ x (+ eps x))) * [exit]simplify: Simplified to (cbrt (+ x (+ eps x))) * * * * [misc]progress: [ 36 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ x (+ eps x)) (+ x (+ eps x))) (+ x (+ eps x))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (443 enodes) * [exit]simplify: Simplified to (pow (+ x (+ eps x)) 3) * [exit]simplify: Simplified to (pow (+ x (+ eps x)) 3) * * * * [misc]progress: [ 37 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ x (+ eps x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (sqrt (+ x (+ eps x))) * [exit]simplify: Simplified to (sqrt (+ x (+ eps x))) * [enter]simplify: Simplifying (sqrt (+ x (+ eps x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (sqrt (+ x (+ eps x))) * [exit]simplify: Simplified to (sqrt (+ x (+ eps x))) * * * * [misc]progress: [ 38 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow x 3) (pow (+ eps x) 3)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (372 enodes) * [exit]simplify: Simplified to (fma x (* x x) (pow (+ x eps) 3)) * [exit]simplify: Simplified to (fma x (* x x) (pow (+ x eps) 3)) * [enter]simplify: Simplifying (+ (* x x) (- (* (+ eps x) (+ eps x)) (* x (+ eps x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (258 enodes) * [exit]simplify: Simplified to (fma (+ x eps) x (* eps eps)) * [exit]simplify: Simplified to (fma (+ x eps) x (* eps eps)) * * * * [misc]progress: [ 39 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* x x) (* (+ eps x) (+ eps x))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (169 enodes) * * [misc]simplify: iters left: 2 (358 enodes) * [exit]simplify: Simplified to (* (+ (+ x x) eps) (- eps)) * [exit]simplify: Simplified to (* (+ (+ x x) eps) (- eps)) * [enter]simplify: Simplifying (- x (+ eps x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (- eps) * [exit]simplify: Simplified to (- eps) * * * * [misc]progress: [ 41 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (+ x eps) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ eps x) * [exit]simplify: Simplified to (+ eps x) * * * * [misc]progress: [ 42 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* -2 (* (sin (/ eps 2)) (sin (/ (+ x (+ eps x)) 2))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (expm1 (* (* -2 (sin (/ eps 2))) (sin (/ (+ eps (+ x x)) 2)))) * [exit]simplify: Simplified to (expm1 (* (* -2 (sin (/ eps 2))) (sin (/ (+ eps (+ x x)) 2)))) * * * * [misc]progress: [ 44 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* -2 (* (sin (/ eps 2)) (sin (/ (+ x (+ eps x)) 2))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (log1p (* (* -2 (sin (/ eps 2))) (sin (/ (+ eps (+ x x)) 2)))) * [exit]simplify: Simplified to (log1p (* (* -2 (sin (/ eps 2))) (sin (/ (+ eps (+ x x)) 2)))) * * * * [misc]progress: [ 45 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* -2 (* (sin (/ eps 2)) (sin (/ (+ x (+ eps x)) 2))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * [exit]simplify: Simplified to (log (* (* -2 (sin (/ eps 2))) (sin (/ (+ eps (+ x x)) 2)))) * [exit]simplify: Simplified to (log (* (* -2 (sin (/ eps 2))) (sin (/ (+ eps (+ x x)) 2)))) * * * * [misc]progress: [ 47 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* -2 (* (sin (/ eps 2)) (sin (/ (+ x (+ eps x)) 2))))) * * [misc]simplify: iters left: 6 (13 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 (exp (* (* -2 (sin (/ eps 2))) (sin (/ (+ (+ eps x) x) 2)))) * [exit]simplify: Simplified to (exp (* (* -2 (sin (/ eps 2))) (sin (/ (+ (+ eps x) x) 2)))) * * * * [misc]progress: [ 48 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* -2 (* (sin (/ eps 2)) (sin (/ (+ x (+ eps x)) 2))))) (cbrt (* -2 (* (sin (/ eps 2)) (sin (/ (+ x (+ eps x)) 2)))))) * * [misc]simplify: iters left: 6 (14 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 (/ (+ (+ x x) eps) 2)) (* -2 (sin (/ eps 2))))) (cbrt (* (sin (/ (+ (+ x x) eps) 2)) (* -2 (sin (/ eps 2)))))) * [exit]simplify: Simplified to (* (cbrt (* (sin (/ (+ (+ x x) eps) 2)) (* -2 (sin (/ eps 2))))) (cbrt (* (sin (/ (+ (+ x x) eps) 2)) (* -2 (sin (/ eps 2)))))) * [enter]simplify: Simplifying (cbrt (* -2 (* (sin (/ eps 2)) (sin (/ (+ x (+ eps x)) 2))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (cbrt (* (* -2 (sin (/ eps 2))) (sin (/ (+ eps (+ x x)) 2)))) * [exit]simplify: Simplified to (cbrt (* (* -2 (sin (/ eps 2))) (sin (/ (+ eps (+ x x)) 2)))) * * * * [misc]progress: [ 49 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* -2 (* (sin (/ eps 2)) (sin (/ (+ x (+ eps x)) 2)))) (* -2 (* (sin (/ eps 2)) (sin (/ (+ x (+ eps x)) 2))))) (* -2 (* (sin (/ eps 2)) (sin (/ (+ x (+ eps x)) 2))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (210 enodes) * [exit]simplify: Simplified to (pow (* (sin (/ (+ (+ eps x) x) 2)) (* -2 (sin (/ eps 2)))) 3) * [exit]simplify: Simplified to (pow (* (sin (/ (+ (+ eps x) x) 2)) (* -2 (sin (/ eps 2)))) 3) * * * * [misc]progress: [ 50 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* -2 (* (sin (/ eps 2)) (sin (/ (+ x (+ eps x)) 2))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (sqrt (* (* -2 (sin (/ eps 2))) (sin (/ (+ eps (+ x x)) 2)))) * [exit]simplify: Simplified to (sqrt (* (* -2 (sin (/ eps 2))) (sin (/ (+ eps (+ x x)) 2)))) * [enter]simplify: Simplifying (sqrt (* -2 (* (sin (/ eps 2)) (sin (/ (+ x (+ eps x)) 2))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (sqrt (* (* -2 (sin (/ eps 2))) (sin (/ (+ eps (+ x x)) 2)))) * [exit]simplify: Simplified to (sqrt (* (* -2 (sin (/ eps 2))) (sin (/ (+ eps (+ x x)) 2)))) * * * * [misc]progress: [ 51 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (sin (/ eps 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (* -2 (sin (/ eps 2))) * [exit]simplify: Simplified to (* -2 (sin (/ eps 2))) * * * * [misc]progress: [ 53 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (- (cos (- (/ eps 2) (/ (+ x (+ eps x)) 2))) (cos (+ (/ eps 2) (/ (+ x (+ eps x)) 2))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (* -2 (- (cos (- (/ eps 2) (/ (+ x (+ eps x)) 2))) (cos (+ (/ eps 2) (/ (+ x (+ eps x)) 2))))) * [exit]simplify: Simplified to (* -2 (- (cos (- (/ eps 2) (/ (+ x (+ eps x)) 2))) (cos (+ (/ eps 2) (/ (+ x (+ eps x)) 2))))) * * * * [misc]progress: [ 54 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (* (sin (/ eps 2)) (- (+ (* 1/2 eps) x) (* 1/6 (pow x 3))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (273 enodes) * [exit]simplify: Simplified to (fma (* (* -2 1/6) (* (- x) (* x x))) (sin (/ eps 2)) (* (sin (/ eps 2)) (* -2 (fma eps 1/2 x)))) * * * * [misc]progress: [ 56 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (* (sin (/ eps 2)) (sin (* 1/2 (+ eps (* 2 x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * [exit]simplify: Simplified to (* (* -2 (sin (/ eps 2))) (sin (* (fma 2 x eps) 1/2))) * * * * [misc]progress: [ 57 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (* (sin (/ eps 2)) (sin (* 1/2 (+ eps (* 2 x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * [exit]simplify: Simplified to (* (* -2 (sin (/ eps 2))) (sin (* (fma 2 x eps) 1/2))) * * * * [misc]progress: [ 58 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (- (+ (* 1/2 (* eps x)) (* 1/4 (pow eps 2))) (* 1/48 (pow eps 4)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * * [misc]simplify: iters left: 2 (353 enodes) * [exit]simplify: Simplified to (* (fma (fma 1/2 x (* eps 1/4)) eps (* (pow eps 4) (- 1/48))) -2) * * * * [misc]progress: [ 59 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (* (sin (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * [exit]simplify: Simplified to (* (sin (* (fma 2 x eps) 1/2)) (* -2 (sin (* eps 1/2)))) * * * * [misc]progress: [ 60 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (* (sin (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * [exit]simplify: Simplified to (* (sin (* (fma 2 x eps) 1/2)) (* -2 (sin (* eps 1/2)))) * * * * [misc]progress: [ 61 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (* (sin (/ eps 2)) (sin (/ (+ eps (* 2 x)) 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (* (sin (/ (fma 2 x eps) 2)) (* -2 (sin (/ eps 2)))) * * * * [misc]progress: [ 62 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (* (sin (/ eps 2)) (sin (/ (+ eps (* 2 x)) 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (* (sin (/ (fma 2 x eps) 2)) (* -2 (sin (/ eps 2)))) * * * * [misc]progress: [ 63 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (* (sin (/ eps 2)) (sin (/ (- (* 2 x) eps) 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * [exit]simplify: Simplified to (* (sin (- x (/ eps 2))) (* -2 (sin (/ eps 2)))) * * * * [misc]progress: [ 64 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/24 (pow eps 4)) (+ (* eps x) (* 1/2 (pow eps 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (225 enodes) * [exit]simplify: Simplified to (- (* (pow eps 4) 1/24) (* eps (fma 1/2 eps x))) * * * * [misc]progress: [ 65 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (* (sin (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * [exit]simplify: Simplified to (* (sin (* (fma 2 x eps) 1/2)) (* -2 (sin (* eps 1/2)))) * * * * [misc]progress: [ 66 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (* (sin (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * [exit]simplify: Simplified to (* (sin (* (fma 2 x eps) 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 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (sin (/ (+ x (+ eps x)) 2)) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (sin (/ (+ x (+ eps x)) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ x (+ eps x)) 2) in eps * [misc]taylor: Taking taylor expansion of (+ x (+ eps 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 (+ eps x) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (+ x x) 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 (+ eps x)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ x (+ eps x)) 2) in x * [misc]taylor: Taking taylor expansion of (+ x (+ eps 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 (+ eps x) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify 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 (+ eps x)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ x (+ eps x)) 2) in x * [misc]taylor: Taking taylor expansion of (+ x (+ eps 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 (+ eps x) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify 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)) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (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 0 into 0 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (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 0 into 0 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (* -1/2 (sin (* 1/2 eps))) into (* -1/2 (sin (* 1/2 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 (* -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 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 0 into 0 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1/6 into -1/6 * [misc]backup-simplify: Simplify (* -1/6 (cos (* 1/2 eps))) into (* -1/6 (cos (* 1/2 eps))) * [misc]backup-simplify: Simplify (* -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 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 0 into 0 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 x 3)) (+ (* 1/2 eps) x)) into (- (+ (* 1/2 eps) x) (* 1/6 (pow x 3))) * [misc]approximate: Taking taylor expansion of (sin (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (sin (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (+ (/ 1 eps) (/ 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 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 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]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (sin (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) into (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (sin (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (+ (/ 1 eps) (/ 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 into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (sin (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) into (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (sin (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (+ (/ 1 eps) (/ 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 into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (sin (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 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 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 into 1 * [misc]backup-simplify: Simplify 1/2 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 (+ eps (* 2 x)))) * [misc]approximate: Taking taylor expansion of (sin (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (sin (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 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 (- eps)) (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (sin (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) into (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (sin (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 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 into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- eps)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (sin (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) into (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (sin (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 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 into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- eps)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (sin (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 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 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 into 1 * [misc]backup-simplify: Simplify -1/2 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 (+ eps (* 2 x)))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (* -2 (sin (/ eps 2))) (sin (/ (+ x (+ eps x)) 2))) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (* (* -2 (sin (/ eps 2))) (sin (/ (+ x (+ eps x)) 2))) in x * [misc]taylor: Taking taylor expansion of (* -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 (/ 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 (+ eps x)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ x (+ eps x)) 2) in x * [misc]taylor: Taking taylor expansion of (+ x (+ eps 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 (+ eps x) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify 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 (* (* -2 (sin (/ eps 2))) (sin (/ (+ x (+ eps x)) 2))) in eps * [misc]taylor: Taking taylor expansion of (* -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 (/ 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 (+ eps x)) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ x (+ eps x)) 2) in eps * [misc]taylor: Taking taylor expansion of (+ x (+ eps 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 (+ eps x) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (+ x x) 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 (* (* -2 (sin (/ eps 2))) (sin (/ (+ x (+ eps x)) 2))) in eps * [misc]taylor: Taking taylor expansion of (* -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 (/ 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 (+ eps x)) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ x (+ eps x)) 2) in eps * [misc]taylor: Taking taylor expansion of (+ x (+ eps 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 (+ eps x) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (+ x x) 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]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/2 (cos x)) into (* 1/2 (cos x)) * [misc]backup-simplify: Simplify (* 1/2 (cos x)) into (* 1/2 (cos x)) * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (* -1 (sin x)) into (* -1 (sin x)) * [misc]taylor: Taking taylor expansion of (* -1 (sin x)) in x * [misc]taylor: Taking taylor expansion of -1 in x * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1/8 into -1/8 * [misc]backup-simplify: Simplify (* -1/8 (sin x)) into (* -1/8 (sin x)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1/8 (sin x)) into (* -1/8 (sin x)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 (* 1/2 (cos x))) into (* -1/2 (cos x)) * [misc]taylor: Taking taylor expansion of (* -1/2 (cos x)) in x * [misc]taylor: Taking taylor expansion of -1/2 in x * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1/48 into -1/48 * [misc]backup-simplify: Simplify (* -1/48 (cos x)) into (* -1/48 (cos x)) * [misc]backup-simplify: Simplify (* -1/48 (cos x)) into (* -1/48 (cos x)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1/48 into -1/48 * [misc]backup-simplify: Simplify 1/24 into 1/24 * [misc]backup-simplify: Simplify (+ (* -1 (* -1/8 (sin x))) (* 1/24 (sin x))) into (* 1/6 (sin x)) * [misc]taylor: Taking taylor expansion of (* 1/6 (sin x)) in x * [misc]taylor: Taking taylor expansion of 1/6 in x * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1/384 into 1/384 * [misc]backup-simplify: Simplify (* 1/384 (sin x)) into (* 1/384 (sin x)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/384 (sin x)) into (* 1/384 (sin x)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (* -1/48 (cos x))) (* 1/24 (* 1/2 (cos x)))) into (* 1/24 (cos x)) * [misc]taylor: Taking taylor expansion of (* 1/24 (cos x)) in x * [misc]taylor: Taking taylor expansion of 1/24 in x * [misc]backup-simplify: Simplify 1/24 into 1/24 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1/24 into 1/24 * [misc]backup-simplify: Simplify 1/24 into 1/24 * [misc]backup-simplify: Simplify (+ (* 1/24 (pow eps 4)) (+ (* -1 (* x eps)) (* -1/2 (pow eps 2)))) into (- (* 1/24 (pow eps 4)) (+ (* eps x) (* 1/2 (pow eps 2)))) * [misc]approximate: Taking taylor expansion of (* (* -2 (sin (/ (/ 1 eps) 2))) (sin (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2))) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (* (* -2 (sin (/ (/ 1 eps) 2))) (sin (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2))) in x * [misc]taylor: Taking taylor expansion of (* -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 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 eps) (/ 1 x))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (+ (/ 1 eps) (/ 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 into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (sin (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) into (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (* (* -2 (sin (/ (/ 1 eps) 2))) (sin (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2))) in eps * [misc]taylor: Taking taylor expansion of (* -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 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 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 eps) (/ 1 x))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (+ (/ 1 eps) (/ 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 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 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]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (sin (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) into (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (* (* -2 (sin (/ (/ 1 eps) 2))) (sin (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2))) in eps * [misc]taylor: Taking taylor expansion of (* -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 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 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 eps) (/ 1 x))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (+ (/ 1 eps) (/ 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 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 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]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (sin (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) into (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (* -2 (sin (/ 1/2 eps))) into (* -2 (sin (/ 1/2 eps))) * [misc]backup-simplify: Simplify (* (* -2 (sin (/ 1/2 eps))) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) * [misc]taylor: Taking taylor expansion of (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 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 (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) in x * [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 (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [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 into 1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [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 eps)) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sin (/ 1/2 eps)) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]backup-simplify: Simplify (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) * [misc]backup-simplify: Simplify (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 eps) (* (/ 1/2 eps) (/ 0 eps))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 eps) (* (/ 1/2 eps) (/ 0 eps))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -2 (* (sin (/ 1/2 (/ 1 eps))) (sin (* 1/2 (+ (/ 1 (/ 1 eps)) (* 2 (/ 1 (/ 1 x)))))))) into (* -2 (* (sin (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))) * [misc]approximate: Taking taylor expansion of (* (* -2 (sin (/ (/ 1 (- eps)) 2))) (sin (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2))) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (* (* -2 (sin (/ (/ 1 (- eps)) 2))) (sin (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2))) in x * [misc]taylor: Taking taylor expansion of (* -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 (- 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 (- eps)) (/ 1 (- x)))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 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 into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- eps)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (sin (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) into (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (* (* -2 (sin (/ (/ 1 (- eps)) 2))) (sin (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2))) in eps * [misc]taylor: Taking taylor expansion of (* -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 (- 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 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 (- eps)) (/ 1 (- x)))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 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 (- eps)) (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (sin (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) into (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (* (* -2 (sin (/ (/ 1 (- eps)) 2))) (sin (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2))) in eps * [misc]taylor: Taking taylor expansion of (* -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 (- 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 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 (- eps)) (/ 1 (- x)))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 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 (- eps)) (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (sin (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) into (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (* -2 (sin (/ -1/2 eps))) into (* -2 (sin (/ -1/2 eps))) * [misc]backup-simplify: Simplify (* (* -2 (sin (/ -1/2 eps))) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (* -2 (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) * [misc]taylor: Taking taylor expansion of (* -2 (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 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 (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) in x * [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 (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of -1/2 in x * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [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 into 1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify -1 into -1 * [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 eps)) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sin (/ -1/2 eps)) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]backup-simplify: Simplify (* -2 (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into (* -2 (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) * [misc]backup-simplify: Simplify (* -2 (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into (* -2 (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 eps) (* (/ -1/2 eps) (/ 0 eps))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 eps) (* (/ -1/2 eps) (/ 0 eps))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -2 (* (sin (/ -1/2 (/ 1 (- eps)))) (sin (* -1/2 (+ (/ 1 (/ 1 (- eps))) (* 2 (/ 1 (/ 1 (- x))))))))) into (* -2 (* (sin (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1 1) * [misc]approximate: Taking taylor expansion of (+ x (+ eps x)) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (+ x (+ eps 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 (+ eps x) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of (+ x (+ eps 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 (+ eps x) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ x (+ eps 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 (+ eps x) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify eps into 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 2 into 2 * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [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]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]backup-simplify: Simplify (+ eps (* 2 x)) into (+ eps (* 2 x)) * [misc]approximate: Taking taylor expansion of (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (+ (/ 1 eps) (/ 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 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 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]taylor: Taking taylor expansion of (+ (/ 1 x) (+ (/ 1 eps) (/ 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 into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (+ (/ 1 eps) (/ 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 into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 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 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 1 eps) (/ 0 eps)) 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 1 eps) (/ 0 eps)) 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 0 into 0 * [misc]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 eps) (/ 0 eps)) 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 (+ (* 2 (/ 1 (/ 1 x))) (/ 1 (/ 1 eps))) into (+ eps (* 2 x)) * [misc]approximate: Taking taylor expansion of (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 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 (- eps)) (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 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 into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- eps)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 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 into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- eps)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of -2 in eps * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 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 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (* (/ 1 eps) (/ 0 eps)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 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)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 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)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (/ 1 (/ 1 (- x)))) (/ 1 (/ 1 (- eps)))) into (- (* 2 x) eps) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (* -2 (sin (/ eps 2))) in (eps) around 0 * [misc]taylor: Taking taylor expansion of (* -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 (/ 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 (/ 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 (/ 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]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1/48 into -1/48 * [misc]backup-simplify: Simplify 1/24 into 1/24 * [misc]backup-simplify: Simplify 1/24 into 1/24 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1/3840 into 1/3840 * [misc]backup-simplify: Simplify -1/1920 into -1/1920 * [misc]backup-simplify: Simplify -1/1920 into -1/1920 * [misc]backup-simplify: Simplify (+ (* -1/1920 (pow eps 5)) (+ (* 1/24 (pow eps 3)) (* -1 eps))) into (- (* 1/24 (pow eps 3)) (+ (* 1/1920 (pow eps 5)) eps)) * [misc]approximate: Taking taylor expansion of (* -2 (sin (/ (/ 1 eps) 2))) in (eps) around 0 * [misc]taylor: Taking taylor expansion of (* -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 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 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 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 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 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]backup-simplify: Simplify (* -2 (sin (/ 1/2 eps))) into (* -2 (sin (/ 1/2 eps))) * [misc]backup-simplify: Simplify (* -2 (sin (/ 1/2 eps))) into (* -2 (sin (/ 1/2 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 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -2 (sin (/ 1/2 (/ 1 eps)))) into (* -2 (sin (* 1/2 eps))) * [misc]approximate: Taking taylor expansion of (* -2 (sin (/ (/ 1 (- eps)) 2))) in (eps) around 0 * [misc]taylor: Taking taylor expansion of (* -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 (- 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 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 (- 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 (- 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 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]backup-simplify: Simplify (* -2 (sin (/ -1/2 eps))) into (* -2 (sin (/ -1/2 eps))) * [misc]backup-simplify: Simplify (* -2 (sin (/ -1/2 eps))) into (* -2 (sin (/ -1/2 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 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -2 (sin (/ -1/2 (/ 1 (- eps))))) into (* -2 (sin (* 1/2 eps))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sin (/ (+ x (+ eps x)) 2))) * * [misc]simplify: iters left: 6 (8 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 (expm1 (sin (/ (+ x (+ eps x)) 2))) * [exit]simplify: Simplified to (expm1 (sin (/ (+ x (+ eps x)) 2))) * * * * [misc]progress: [ 2 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sin (/ (+ x (+ eps x)) 2))) * * [misc]simplify: iters left: 6 (8 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 (log1p (sin (/ (+ x (+ eps x)) 2))) * [exit]simplify: Simplified to (log1p (sin (/ (+ x (+ eps x)) 2))) * * * * [misc]progress: [ 3 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sin (/ (+ x (+ eps x)) 2))) * * [misc]simplify: iters left: 6 (8 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 (log (sin (/ (+ x (+ eps x)) 2))) * [exit]simplify: Simplified to (log (sin (/ (+ x (+ eps x)) 2))) * * * * [misc]progress: [ 5 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sin (/ (+ x (+ eps x)) 2))) * * [misc]simplify: iters left: 6 (8 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 (exp (sin (/ (+ x (+ eps x)) 2))) * [exit]simplify: Simplified to (exp (sin (/ (+ x (+ eps x)) 2))) * * * * [misc]progress: [ 6 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sin (/ (+ x (+ eps x)) 2))) (cbrt (sin (/ (+ x (+ eps x)) 2)))) * * [misc]simplify: iters left: 6 (9 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 (+ eps x)) 2))) (cbrt (sin (/ (+ x (+ eps x)) 2)))) * [exit]simplify: Simplified to (* (cbrt (sin (/ (+ x (+ eps x)) 2))) (cbrt (sin (/ (+ x (+ eps x)) 2)))) * [enter]simplify: Simplifying (cbrt (sin (/ (+ x (+ eps x)) 2))) * * [misc]simplify: iters left: 6 (8 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 (sin (/ (+ x (+ eps x)) 2))) * [exit]simplify: Simplified to (cbrt (sin (/ (+ x (+ eps x)) 2))) * * * * [misc]progress: [ 7 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sin (/ (+ x (+ eps x)) 2)) (sin (/ (+ x (+ eps x)) 2))) (sin (/ (+ x (+ eps x)) 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (pow (sin (/ (+ x (+ eps x)) 2)) 3) * [exit]simplify: Simplified to (pow (sin (/ (+ x (+ eps x)) 2)) 3) * * * * [misc]progress: [ 8 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sin (/ (+ x (+ eps x)) 2))) * * [misc]simplify: iters left: 6 (8 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 (sin (/ (+ x (+ eps x)) 2))) * [exit]simplify: Simplified to (sqrt (sin (/ (+ x (+ eps x)) 2))) * [enter]simplify: Simplifying (sqrt (sin (/ (+ x (+ eps x)) 2))) * * [misc]simplify: iters left: 6 (8 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 (sin (/ (+ x (+ eps x)) 2))) * [exit]simplify: Simplified to (sqrt (sin (/ (+ x (+ eps x)) 2))) * * * * [misc]progress: [ 9 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (* -2 (sin (/ eps 2))) (sin (/ (+ x (+ eps x)) 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (expm1 (* (sin (/ (+ (+ x x) eps) 2)) (* -2 (sin (/ eps 2))))) * [exit]simplify: Simplified to (expm1 (* (sin (/ (+ (+ x x) eps) 2)) (* -2 (sin (/ eps 2))))) * * * * [misc]progress: [ 11 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (* -2 (sin (/ eps 2))) (sin (/ (+ x (+ eps x)) 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (log1p (* (sin (/ (+ (+ x x) eps) 2)) (* -2 (sin (/ eps 2))))) * [exit]simplify: Simplified to (log1p (* (sin (/ (+ (+ x x) eps) 2)) (* -2 (sin (/ eps 2))))) * * * * [misc]progress: [ 12 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* -2 (sin (/ eps 2))) (sin (/ (+ x (+ eps x)) 2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (* (sin (/ (+ eps (+ x x)) 2)) (* -2 (sin (/ eps 2)))) * [exit]simplify: Simplified to (* (sin (/ (+ eps (+ x x)) 2)) (* -2 (sin (/ eps 2)))) * * * * [misc]progress: [ 13 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* -2 (sin (/ eps 2)))) (log (sin (/ (+ x (+ eps x)) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (+ (log (* -2 (sin (/ eps 2)))) (log (sin (/ (+ (+ eps x) x) 2)))) * [exit]simplify: Simplified to (+ (log (* -2 (sin (/ eps 2)))) (log (sin (/ (+ (+ eps x) x) 2)))) * * * * [misc]progress: [ 15 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (* -2 (sin (/ eps 2))) (sin (/ (+ x (+ eps x)) 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * [exit]simplify: Simplified to (log (* (sin (/ (+ x (+ x eps)) 2)) (* -2 (sin (/ eps 2))))) * [exit]simplify: Simplified to (log (* (sin (/ (+ x (+ x eps)) 2)) (* -2 (sin (/ eps 2))))) * * * * [misc]progress: [ 16 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (* -2 (sin (/ eps 2))) (sin (/ (+ x (+ eps x)) 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (pow (pow (exp -2) (sin (/ eps 2))) (sin (/ (+ eps (+ x x)) 2))) * [exit]simplify: Simplified to (pow (pow (exp -2) (sin (/ eps 2))) (sin (/ (+ eps (+ x x)) 2))) * * * * [misc]progress: [ 17 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* -2 (sin (/ eps 2))) (* -2 (sin (/ eps 2)))) (* -2 (sin (/ eps 2)))) (* (* (sin (/ (+ x (+ eps x)) 2)) (sin (/ (+ x (+ eps x)) 2))) (sin (/ (+ x (+ eps x)) 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (257 enodes) * [exit]simplify: Simplified to (* (* (sin (/ (+ (+ x eps) x) 2)) (sin (/ (+ (+ x eps) x) 2))) (* (sin (/ (+ (+ x eps) x) 2)) (pow (* -2 (sin (/ eps 2))) 3))) * [exit]simplify: Simplified to (* (* (sin (/ (+ (+ x eps) x) 2)) (sin (/ (+ (+ x eps) x) 2))) (* (sin (/ (+ (+ x eps) x) 2)) (pow (* -2 (sin (/ eps 2))) 3))) * * * * [misc]progress: [ 18 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (* -2 (sin (/ eps 2))) (sin (/ (+ x (+ eps x)) 2)))) (cbrt (* (* -2 (sin (/ eps 2))) (sin (/ (+ x (+ eps x)) 2))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sin (/ (+ x (+ x eps)) 2)) (* -2 (sin (/ eps 2))))) (cbrt (* (sin (/ (+ x (+ x eps)) 2)) (* -2 (sin (/ eps 2)))))) * [exit]simplify: Simplified to (* (cbrt (* (sin (/ (+ x (+ x eps)) 2)) (* -2 (sin (/ eps 2))))) (cbrt (* (sin (/ (+ x (+ x eps)) 2)) (* -2 (sin (/ eps 2)))))) * [enter]simplify: Simplifying (cbrt (* (* -2 (sin (/ eps 2))) (sin (/ (+ x (+ eps x)) 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (cbrt (* (sin (/ (+ (+ x x) eps) 2)) (* -2 (sin (/ eps 2))))) * [exit]simplify: Simplified to (cbrt (* (sin (/ (+ (+ x x) eps) 2)) (* -2 (sin (/ eps 2))))) * * * * [misc]progress: [ 19 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* -2 (sin (/ eps 2))) (sin (/ (+ x (+ eps x)) 2))) (* (* -2 (sin (/ eps 2))) (sin (/ (+ x (+ eps x)) 2)))) (* (* -2 (sin (/ eps 2))) (sin (/ (+ x (+ eps x)) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * [exit]simplify: Simplified to (pow (* (sin (/ (+ eps (+ x x)) 2)) (* -2 (sin (/ eps 2)))) 3) * [exit]simplify: Simplified to (pow (* (sin (/ (+ eps (+ x x)) 2)) (* -2 (sin (/ eps 2)))) 3) * * * * [misc]progress: [ 20 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (* -2 (sin (/ eps 2))) (sin (/ (+ x (+ eps x)) 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (sqrt (* (sin (/ (+ (+ x x) eps) 2)) (* -2 (sin (/ eps 2))))) * [exit]simplify: Simplified to (sqrt (* (sin (/ (+ (+ x x) eps) 2)) (* -2 (sin (/ eps 2))))) * [enter]simplify: Simplifying (sqrt (* (* -2 (sin (/ eps 2))) (sin (/ (+ x (+ eps x)) 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (sqrt (* (sin (/ (+ (+ x x) eps) 2)) (* -2 (sin (/ eps 2))))) * [exit]simplify: Simplified to (sqrt (* (sin (/ (+ (+ x x) eps) 2)) (* -2 (sin (/ eps 2))))) * * * * [misc]progress: [ 21 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* -2 (sin (/ eps 2))) (* (cbrt (sin (/ (+ x (+ eps x)) 2))) (cbrt (sin (/ (+ x (+ eps x)) 2))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sin (/ (+ (+ x x) eps) 2))) (cbrt (sin (/ (+ (+ x x) eps) 2)))) (* -2 (sin (/ eps 2)))) * [exit]simplify: Simplified to (* (* (cbrt (sin (/ (+ (+ x x) eps) 2))) (cbrt (sin (/ (+ (+ x x) eps) 2)))) (* -2 (sin (/ eps 2)))) * * * * [misc]progress: [ 23 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* -2 (sin (/ eps 2))) (sqrt (sin (/ (+ x (+ eps x)) 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (* (sqrt (sin (/ (+ (+ x x) eps) 2))) (* -2 (sin (/ eps 2)))) * [exit]simplify: Simplified to (* (sqrt (sin (/ (+ (+ x x) eps) 2))) (* -2 (sin (/ eps 2)))) * * * * [misc]progress: [ 24 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* -2 (sin (/ eps 2))) 1) * * [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 (23 enodes) * [exit]simplify: Simplified to (* -2 (sin (/ eps 2))) * [exit]simplify: Simplified to (* -2 (sin (/ eps 2))) * * * * [misc]progress: [ 25 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (/ eps 2)) (sin (/ (+ x (+ eps x)) 2))) * * [misc]simplify: iters left: 6 (10 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)) (sin (/ eps 2))) * [exit]simplify: Simplified to (* (sin (/ (+ eps (+ x x)) 2)) (sin (/ eps 2))) * * * * [misc]progress: [ 26 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (+ x (+ eps x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (expm1 (+ x (+ eps x))) * [exit]simplify: Simplified to (expm1 (+ x (+ eps x))) * * * * [misc]progress: [ 28 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (+ x (+ eps x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (log1p (+ x (+ eps x))) * [exit]simplify: Simplified to (log1p (+ x (+ eps x))) * * * * [misc]progress: [ 29 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ x (+ eps x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (log (+ x (+ eps x))) * [exit]simplify: Simplified to (log (+ x (+ eps x))) * * * * [misc]progress: [ 31 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ x (+ eps x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * [exit]simplify: Simplified to (exp (+ x (+ eps x))) * [exit]simplify: Simplified to (exp (+ x (+ eps x))) * * * * [misc]progress: [ 32 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ x (+ eps x))) (cbrt (+ x (+ eps x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (* (cbrt (+ x (+ eps x))) (cbrt (+ x (+ eps x)))) * [exit]simplify: Simplified to (* (cbrt (+ x (+ eps x))) (cbrt (+ x (+ eps x)))) * [enter]simplify: Simplifying (cbrt (+ x (+ eps x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (cbrt (+ x (+ eps x))) * [exit]simplify: Simplified to (cbrt (+ x (+ eps x))) * * * * [misc]progress: [ 33 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ x (+ eps x)) (+ x (+ eps x))) (+ x (+ eps x))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (443 enodes) * [exit]simplify: Simplified to (pow (+ x (+ eps x)) 3) * [exit]simplify: Simplified to (pow (+ x (+ eps x)) 3) * * * * [misc]progress: [ 34 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ x (+ eps x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (sqrt (+ x (+ eps x))) * [exit]simplify: Simplified to (sqrt (+ x (+ eps x))) * [enter]simplify: Simplifying (sqrt (+ x (+ eps x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (sqrt (+ x (+ eps x))) * [exit]simplify: Simplified to (sqrt (+ x (+ eps x))) * * * * [misc]progress: [ 35 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow x 3) (pow (+ eps x) 3)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (372 enodes) * [exit]simplify: Simplified to (fma x (* x x) (pow (+ x eps) 3)) * [exit]simplify: Simplified to (fma x (* x x) (pow (+ x eps) 3)) * [enter]simplify: Simplifying (+ (* x x) (- (* (+ eps x) (+ eps x)) (* x (+ eps x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (258 enodes) * [exit]simplify: Simplified to (fma (+ x eps) x (* eps eps)) * [exit]simplify: Simplified to (fma (+ x eps) x (* eps eps)) * * * * [misc]progress: [ 36 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* x x) (* (+ eps x) (+ eps x))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (169 enodes) * * [misc]simplify: iters left: 2 (358 enodes) * [exit]simplify: Simplified to (* (+ (+ x x) eps) (- eps)) * [exit]simplify: Simplified to (* (+ (+ x x) eps) (- eps)) * [enter]simplify: Simplifying (- x (+ eps x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (- eps) * [exit]simplify: Simplified to (- eps) * * * * [misc]progress: [ 38 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (+ x eps) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ eps x) * [exit]simplify: Simplified to (+ eps x) * * * * [misc]progress: [ 39 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* -2 (sin (/ eps 2)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (expm1 (* -2 (sin (/ eps 2)))) * [exit]simplify: Simplified to (expm1 (* -2 (sin (/ eps 2)))) * * * * [misc]progress: [ 41 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* -2 (sin (/ eps 2)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (log1p (* -2 (sin (/ eps 2)))) * [exit]simplify: Simplified to (log1p (* -2 (sin (/ eps 2)))) * * * * [misc]progress: [ 42 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* -2 (sin (/ eps 2)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (log (* -2 (sin (/ eps 2)))) * [exit]simplify: Simplified to (log (* -2 (sin (/ eps 2)))) * * * * [misc]progress: [ 44 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* -2 (sin (/ eps 2)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (pow (exp -2) (sin (/ eps 2))) * [exit]simplify: Simplified to (pow (exp -2) (sin (/ eps 2))) * * * * [misc]progress: [ 45 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* -2 (sin (/ eps 2)))) (cbrt (* -2 (sin (/ eps 2))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (* -2 (sin (/ eps 2)))) (cbrt (* -2 (sin (/ eps 2))))) * [exit]simplify: Simplified to (* (cbrt (* -2 (sin (/ eps 2)))) (cbrt (* -2 (sin (/ eps 2))))) * [enter]simplify: Simplifying (cbrt (* -2 (sin (/ eps 2)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (cbrt (* -2 (sin (/ eps 2)))) * [exit]simplify: Simplified to (cbrt (* -2 (sin (/ eps 2)))) * * * * [misc]progress: [ 46 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* -2 (sin (/ eps 2))) (* -2 (sin (/ eps 2)))) (* -2 (sin (/ eps 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (pow (* -2 (sin (/ eps 2))) 3) * [exit]simplify: Simplified to (pow (* -2 (sin (/ eps 2))) 3) * * * * [misc]progress: [ 47 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* -2 (sin (/ eps 2)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (* -2 (sin (/ eps 2)))) * [exit]simplify: Simplified to (sqrt (* -2 (sin (/ eps 2)))) * [enter]simplify: Simplifying (sqrt (* -2 (sin (/ eps 2)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (* -2 (sin (/ eps 2)))) * [exit]simplify: Simplified to (sqrt (* -2 (sin (/ eps 2)))) * * * * [misc]progress: [ 48 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (* (cbrt (sin (/ eps 2))) (cbrt (sin (/ eps 2))))) * * [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 (* -2 (* (cbrt (sin (/ eps 2))) (cbrt (sin (/ eps 2))))) * [exit]simplify: Simplified to (* -2 (* (cbrt (sin (/ eps 2))) (cbrt (sin (/ eps 2))))) * * * * [misc]progress: [ 50 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (sqrt (sin (/ eps 2)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (* (sqrt (sin (/ eps 2))) -2) * [exit]simplify: Simplified to (* (sqrt (sin (/ eps 2))) -2) * * * * [misc]progress: [ 51 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to -2 * [exit]simplify: Simplified to -2 * * * * [misc]progress: [ 52 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* -2 (sin (/ eps 2))) (- (+ (* 1/2 eps) x) (* 1/6 (pow x 3)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (274 enodes) * [exit]simplify: Simplified to (fma (* (sin (/ eps 2)) (* -2 1/6)) (* (- x) (* x x)) (* (* (fma eps 1/2 x) -2) (sin (/ eps 2)))) * * * * [misc]progress: [ 54 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* -2 (sin (/ eps 2))) (sin (* 1/2 (+ eps (* 2 x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * [exit]simplify: Simplified to (* (sin (* 1/2 (fma x 2 eps))) (* -2 (sin (/ eps 2)))) * * * * [misc]progress: [ 55 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* -2 (sin (/ eps 2))) (sin (* 1/2 (+ eps (* 2 x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * [exit]simplify: Simplified to (* (sin (* 1/2 (fma x 2 eps))) (* -2 (sin (/ eps 2)))) * * * * [misc]progress: [ 56 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/24 (pow eps 4)) (+ (* eps x) (* 1/2 (pow eps 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (225 enodes) * [exit]simplify: Simplified to (- (* (pow eps 4) 1/24) (* eps (fma 1/2 eps x))) * * * * [misc]progress: [ 57 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (* (sin (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * [exit]simplify: Simplified to (* (sin (* (fma 2 x eps) 1/2)) (* -2 (sin (* eps 1/2)))) * * * * [misc]progress: [ 58 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (* (sin (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * [exit]simplify: Simplified to (* (sin (* (fma 2 x eps) 1/2)) (* -2 (sin (* eps 1/2)))) * * * * [misc]progress: [ 59 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* -2 (sin (/ eps 2))) (sin (/ (+ eps (* 2 x)) 2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (* (sin (/ (fma 2 x eps) 2)) (* -2 (sin (/ eps 2)))) * * * * [misc]progress: [ 60 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* -2 (sin (/ eps 2))) (sin (/ (+ eps (* 2 x)) 2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (* (sin (/ (fma 2 x eps) 2)) (* -2 (sin (/ eps 2)))) * * * * [misc]progress: [ 61 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* -2 (sin (/ eps 2))) (sin (/ (- (* 2 x) eps) 2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * [exit]simplify: Simplified to (* (sin (- x (/ eps 2))) (* -2 (sin (/ eps 2)))) * * * * [misc]progress: [ 62 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* 1/24 (pow eps 3)) (+ (* 1/1920 (pow eps 5)) eps)) (sin (/ (+ x (+ eps x)) 2))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (275 enodes) * * [misc]simplify: iters left: 1 (499 enodes) * [exit]simplify: Simplified to (* (- (* (* eps eps) (* eps 1/24)) (fma 1/1920 (pow eps 5) eps)) (sin (/ (+ eps (+ x x)) 2))) * * * * [misc]progress: [ 63 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* -2 (sin (* 1/2 eps))) (sin (/ (+ x (+ eps x)) 2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (* (sin (/ (+ eps (+ x x)) 2)) (* -2 (sin (* eps 1/2)))) * * * * [misc]progress: [ 64 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* -2 (sin (* 1/2 eps))) (sin (/ (+ x (+ eps x)) 2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (* (sin (/ (+ eps (+ x x)) 2)) (* -2 (sin (* eps 1/2)))) * * * [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) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (sin (/ (+ x (+ eps x)) 2)) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (sin (/ (+ x (+ eps x)) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ x (+ eps x)) 2) in eps * [misc]taylor: Taking taylor expansion of (+ x (+ eps 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 (+ eps x) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (+ x x) 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 (+ eps x)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ x (+ eps x)) 2) in x * [misc]taylor: Taking taylor expansion of (+ x (+ eps 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 (+ eps x) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify 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 (+ eps x)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ x (+ eps x)) 2) in x * [misc]taylor: Taking taylor expansion of (+ x (+ eps 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 (+ eps x) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify 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)) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (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 0 into 0 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (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 0 into 0 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (* -1/2 (sin (* 1/2 eps))) into (* -1/2 (sin (* 1/2 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 (* -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 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 0 into 0 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1/6 into -1/6 * [misc]backup-simplify: Simplify (* -1/6 (cos (* 1/2 eps))) into (* -1/6 (cos (* 1/2 eps))) * [misc]backup-simplify: Simplify (* -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 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 0 into 0 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 x 3)) (+ (* 1/2 eps) x)) into (- (+ (* 1/2 eps) x) (* 1/6 (pow x 3))) * [misc]approximate: Taking taylor expansion of (sin (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (sin (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (+ (/ 1 eps) (/ 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 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 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]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (sin (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) into (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (sin (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (+ (/ 1 eps) (/ 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 into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (sin (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) into (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (sin (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (+ (/ 1 eps) (/ 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 into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (sin (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 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 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 into 1 * [misc]backup-simplify: Simplify 1/2 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 (+ eps (* 2 x)))) * [misc]approximate: Taking taylor expansion of (sin (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (sin (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 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 (- eps)) (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (sin (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) into (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (sin (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 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 into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- eps)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (sin (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) into (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (sin (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 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 into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- eps)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (sin (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 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 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 into 1 * [misc]backup-simplify: Simplify -1/2 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 (+ eps (* 2 x)))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (log1p (expm1 (* -2 (sin (/ eps 2))))) (sin (/ (+ x (+ eps x)) 2))) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (* (log1p (expm1 (* -2 (sin (/ eps 2))))) (sin (/ (+ x (+ eps x)) 2))) in x * [misc]taylor: Taking taylor expansion of (log1p (expm1 (* -2 (sin (/ eps 2))))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (expm1 (* -2 (sin (/ eps 2)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (expm1 (* -2 (sin (/ eps 2))))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (* -2 (sin (/ eps 2)))) in x * [misc]taylor: Rewrote expression to (- (exp (* -2 (sin (/ eps 2)))) 1) * [misc]taylor: Taking taylor expansion of (exp (* -2 (sin (/ eps 2)))) in x * [misc]taylor: Taking taylor expansion of (* -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 (/ 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)) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (* -2 (sin (* 1/2 eps))) into (* -2 (sin (* 1/2 eps))) * [misc]backup-simplify: Simplify (exp (* -2 (sin (* 1/2 eps)))) into (exp (* -2 (sin (* 1/2 eps)))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ -1 (exp (* -2 (sin (* 1/2 eps))))) into (- (exp (* -2 (sin (* 1/2 eps)))) 1) * [misc]backup-simplify: Simplify (+ 1 (- (exp (* -2 (sin (* 1/2 eps)))) 1)) into (exp (* -2 (sin (* 1/2 eps)))) * [misc]backup-simplify: Simplify (log (exp (* -2 (sin (* 1/2 eps))))) into (* -2 (sin (* 1/2 eps))) * [misc]taylor: Taking taylor expansion of (sin (/ (+ x (+ eps x)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ x (+ eps x)) 2) in x * [misc]taylor: Taking taylor expansion of (+ x (+ eps 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 (+ eps x) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify 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 (* (log1p (expm1 (* -2 (sin (/ eps 2))))) (sin (/ (+ x (+ eps x)) 2))) in eps * [misc]taylor: Taking taylor expansion of (log1p (expm1 (* -2 (sin (/ eps 2))))) in eps * [misc]taylor: Rewrote expression to (log (+ 1 (expm1 (* -2 (sin (/ eps 2)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (expm1 (* -2 (sin (/ eps 2))))) in eps * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (* -2 (sin (/ eps 2)))) in eps * [misc]taylor: Rewrote expression to (- (exp (* -2 (sin (/ eps 2)))) 1) * [misc]taylor: Taking taylor expansion of (exp (* -2 (sin (/ eps 2)))) in eps * [misc]taylor: Taking taylor expansion of (* -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 (/ 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]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify -1 into -1 * [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 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (sin (/ (+ x (+ eps x)) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ x (+ eps x)) 2) in eps * [misc]taylor: Taking taylor expansion of (+ x (+ eps 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 (+ eps x) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (+ x x) 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 (* (log1p (expm1 (* -2 (sin (/ eps 2))))) (sin (/ (+ x (+ eps x)) 2))) in eps * [misc]taylor: Taking taylor expansion of (log1p (expm1 (* -2 (sin (/ eps 2))))) in eps * [misc]taylor: Rewrote expression to (log (+ 1 (expm1 (* -2 (sin (/ eps 2)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (expm1 (* -2 (sin (/ eps 2))))) in eps * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (* -2 (sin (/ eps 2)))) in eps * [misc]taylor: Rewrote expression to (- (exp (* -2 (sin (/ eps 2)))) 1) * [misc]taylor: Taking taylor expansion of (exp (* -2 (sin (/ eps 2)))) in eps * [misc]taylor: Taking taylor expansion of (* -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 (/ 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]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify -1 into -1 * [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 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (sin (/ (+ x (+ eps x)) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ x (+ eps x)) 2) in eps * [misc]taylor: Taking taylor expansion of (+ x (+ eps 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 (+ eps x) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (+ x x) 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]backup-simplify: Simplify (sin x) into (sin x) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1/2 (cos x)) into (* 1/2 (cos x)) * [misc]backup-simplify: Simplify (* 1/2 (cos x)) into (* 1/2 (cos x)) * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (* -1 (sin x)) into (* -1 (sin x)) * [misc]taylor: Taking taylor expansion of (* -1 (sin x)) in x * [misc]taylor: Taking taylor expansion of -1 in x * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1/8 into -1/8 * [misc]backup-simplify: Simplify (* -1/8 (sin x)) into (* -1/8 (sin x)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1/8 (sin x)) into (* -1/8 (sin x)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 (* 1/2 (cos x))) into (* -1/2 (cos x)) * [misc]taylor: Taking taylor expansion of (* -1/2 (cos x)) in x * [misc]taylor: Taking taylor expansion of -1/2 in x * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1/48 into -1/48 * [misc]backup-simplify: Simplify (* -1/48 (cos x)) into (* -1/48 (cos x)) * [misc]backup-simplify: Simplify (* -1/48 (cos x)) into (* -1/48 (cos x)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1/48 into -1/48 * [misc]backup-simplify: Simplify 1/24 into 1/24 * [misc]backup-simplify: Simplify -1/8 into -1/8 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1/8 into -1/8 * [misc]backup-simplify: Simplify -1/8 into -1/8 * [misc]backup-simplify: Simplify 1/24 into 1/24 * [misc]backup-simplify: Simplify (+ (* -1 (* -1/8 (sin x))) (* 1/24 (sin x))) into (* 1/6 (sin x)) * [misc]taylor: Taking taylor expansion of (* 1/6 (sin x)) in x * [misc]taylor: Taking taylor expansion of 1/6 in x * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1/384 into 1/384 * [misc]backup-simplify: Simplify (* 1/384 (sin x)) into (* 1/384 (sin x)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/384 (sin x)) into (* 1/384 (sin x)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (* -1/48 (cos x))) (* 1/24 (* 1/2 (cos x)))) into (* 1/24 (cos x)) * [misc]taylor: Taking taylor expansion of (* 1/24 (cos x)) in x * [misc]taylor: Taking taylor expansion of 1/24 in x * [misc]backup-simplify: Simplify 1/24 into 1/24 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1/24 into 1/24 * [misc]backup-simplify: Simplify 1/24 into 1/24 * [misc]backup-simplify: Simplify (+ (* 1/24 (pow eps 4)) (+ (* -1 (* x eps)) (* -1/2 (pow eps 2)))) into (- (* 1/24 (pow eps 4)) (+ (* eps x) (* 1/2 (pow eps 2)))) * [misc]approximate: Taking taylor expansion of (* (log1p (expm1 (* -2 (sin (/ (/ 1 eps) 2))))) (sin (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2))) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (* (log1p (expm1 (* -2 (sin (/ (/ 1 eps) 2))))) (sin (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2))) in x * [misc]taylor: Taking taylor expansion of (log1p (expm1 (* -2 (sin (/ (/ 1 eps) 2))))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (expm1 (* -2 (sin (/ (/ 1 eps) 2)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (expm1 (* -2 (sin (/ (/ 1 eps) 2))))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (* -2 (sin (/ (/ 1 eps) 2)))) in x * [misc]taylor: Rewrote expression to (- (exp (* -2 (sin (/ (/ 1 eps) 2)))) 1) * [misc]taylor: Taking taylor expansion of (exp (* -2 (sin (/ (/ 1 eps) 2)))) in x * [misc]taylor: Taking taylor expansion of (* -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 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)) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sin (/ 1/2 eps)) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* -2 (sin (/ 1/2 eps))) into (* -2 (sin (/ 1/2 eps))) * [misc]backup-simplify: Simplify (exp (* -2 (sin (/ 1/2 eps)))) into (exp (* -2 (sin (/ 1/2 eps)))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ -1 (exp (* -2 (sin (/ 1/2 eps))))) into (- (exp (* -2 (sin (/ 1/2 eps)))) 1) * [misc]backup-simplify: Simplify (+ 1 (- (exp (* -2 (sin (/ 1/2 eps)))) 1)) into (exp (* -2 (sin (/ 1/2 eps)))) * [misc]backup-simplify: Simplify (log (exp (* -2 (sin (/ 1/2 eps))))) into (* -2 (sin (/ 1/2 eps))) * [misc]taylor: Taking taylor expansion of (sin (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (+ (/ 1 eps) (/ 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 into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (sin (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) into (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (* (log1p (expm1 (* -2 (sin (/ (/ 1 eps) 2))))) (sin (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2))) in eps * [misc]taylor: Taking taylor expansion of (log1p (expm1 (* -2 (sin (/ (/ 1 eps) 2))))) in eps * [misc]taylor: Rewrote expression to (log (+ 1 (expm1 (* -2 (sin (/ (/ 1 eps) 2)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (expm1 (* -2 (sin (/ (/ 1 eps) 2))))) in eps * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (* -2 (sin (/ (/ 1 eps) 2)))) in eps * [misc]taylor: Rewrote expression to (- (exp (* -2 (sin (/ (/ 1 eps) 2)))) 1) * [misc]taylor: Taking taylor expansion of (exp (* -2 (sin (/ (/ 1 eps) 2)))) in eps * [misc]taylor: Taking taylor expansion of (* -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 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 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]backup-simplify: Simplify (* -2 (sin (/ 1/2 eps))) into (* -2 (sin (/ 1/2 eps))) * [misc]backup-simplify: Simplify (exp (* -2 (sin (/ 1/2 eps)))) into (exp (* -2 (sin (/ 1/2 eps)))) * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ -1 (exp (* -2 (sin (/ 1/2 eps))))) into (- (exp (* -2 (sin (/ 1/2 eps)))) 1) * [misc]backup-simplify: Simplify (+ 1 (- (exp (* -2 (sin (/ 1/2 eps)))) 1)) into (exp (* -2 (sin (/ 1/2 eps)))) * [misc]backup-simplify: Simplify (log (exp (* -2 (sin (/ 1/2 eps))))) into (* -2 (sin (/ 1/2 eps))) * [misc]taylor: Taking taylor expansion of (sin (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (+ (/ 1 eps) (/ 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 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 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]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (sin (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) into (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (* (log1p (expm1 (* -2 (sin (/ (/ 1 eps) 2))))) (sin (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2))) in eps * [misc]taylor: Taking taylor expansion of (log1p (expm1 (* -2 (sin (/ (/ 1 eps) 2))))) in eps * [misc]taylor: Rewrote expression to (log (+ 1 (expm1 (* -2 (sin (/ (/ 1 eps) 2)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (expm1 (* -2 (sin (/ (/ 1 eps) 2))))) in eps * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (* -2 (sin (/ (/ 1 eps) 2)))) in eps * [misc]taylor: Rewrote expression to (- (exp (* -2 (sin (/ (/ 1 eps) 2)))) 1) * [misc]taylor: Taking taylor expansion of (exp (* -2 (sin (/ (/ 1 eps) 2)))) in eps * [misc]taylor: Taking taylor expansion of (* -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 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 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]backup-simplify: Simplify (* -2 (sin (/ 1/2 eps))) into (* -2 (sin (/ 1/2 eps))) * [misc]backup-simplify: Simplify (exp (* -2 (sin (/ 1/2 eps)))) into (exp (* -2 (sin (/ 1/2 eps)))) * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ -1 (exp (* -2 (sin (/ 1/2 eps))))) into (- (exp (* -2 (sin (/ 1/2 eps)))) 1) * [misc]backup-simplify: Simplify (+ 1 (- (exp (* -2 (sin (/ 1/2 eps)))) 1)) into (exp (* -2 (sin (/ 1/2 eps)))) * [misc]backup-simplify: Simplify (log (exp (* -2 (sin (/ 1/2 eps))))) into (* -2 (sin (/ 1/2 eps))) * [misc]taylor: Taking taylor expansion of (sin (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (+ (/ 1 eps) (/ 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 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 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]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (sin (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) into (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (* (* -2 (sin (/ 1/2 eps))) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) * [misc]taylor: Taking taylor expansion of (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 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 (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) in x * [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 (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [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 into 1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [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 eps)) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sin (/ 1/2 eps)) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]backup-simplify: Simplify (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) * [misc]backup-simplify: Simplify (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into (* -2 (* (sin (/ 1/2 eps)) (sin (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 0 (exp (* -2 (sin (/ 1/2 eps))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 eps) (* (/ 1/2 eps) (/ 0 eps))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (/ 0 (pow (exp (* -2 (sin (/ 1/2 eps)))) 2))) (/ 0 (exp (* -2 (sin (/ 1/2 eps)))))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 eps) (* (/ 1/2 eps) (/ 0 eps))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ 0 (pow (exp (* -2 (sin (/ 1/2 eps)))) 3))) (+ (* -3 (/ 0 (pow (exp (* -2 (sin (/ 1/2 eps)))) 2))) (/ 0 (exp (* -2 (sin (/ 1/2 eps))))))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -2 (* (sin (/ 1/2 (/ 1 eps))) (sin (* 1/2 (+ (/ 1 (/ 1 eps)) (* 2 (/ 1 (/ 1 x)))))))) into (* -2 (* (sin (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))) * [misc]approximate: Taking taylor expansion of (* (log1p (expm1 (* -2 (sin (/ (/ 1 (- eps)) 2))))) (sin (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2))) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (* (log1p (expm1 (* -2 (sin (/ (/ 1 (- eps)) 2))))) (sin (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2))) in x * [misc]taylor: Taking taylor expansion of (log1p (expm1 (* -2 (sin (/ (/ 1 (- eps)) 2))))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (expm1 (* -2 (sin (/ (/ 1 (- eps)) 2)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (expm1 (* -2 (sin (/ (/ 1 (- eps)) 2))))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (* -2 (sin (/ (/ 1 (- eps)) 2)))) in x * [misc]taylor: Rewrote expression to (- (exp (* -2 (sin (/ (/ 1 (- eps)) 2)))) 1) * [misc]taylor: Taking taylor expansion of (exp (* -2 (sin (/ (/ 1 (- eps)) 2)))) in x * [misc]taylor: Taking taylor expansion of (* -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 (- 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)) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sin (/ 1/2 eps)) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* -2 (sin (/ 1/2 eps))) into (* -2 (sin (/ 1/2 eps))) * [misc]backup-simplify: Simplify (exp (* -2 (sin (/ 1/2 eps)))) into (exp (* -2 (sin (/ 1/2 eps)))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ -1 (exp (* -2 (sin (/ 1/2 eps))))) into (- (exp (* -2 (sin (/ 1/2 eps)))) 1) * [misc]backup-simplify: Simplify (+ 1 (- (exp (* -2 (sin (/ 1/2 eps)))) 1)) into (exp (* -2 (sin (/ 1/2 eps)))) * [misc]backup-simplify: Simplify (log (exp (* -2 (sin (/ 1/2 eps))))) into (* -2 (sin (/ 1/2 eps))) * [misc]taylor: Taking taylor expansion of (sin (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 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 into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- eps)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (sin (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) into (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (* (log1p (expm1 (* -2 (sin (/ (/ 1 (- eps)) 2))))) (sin (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2))) in eps * [misc]taylor: Taking taylor expansion of (log1p (expm1 (* -2 (sin (/ (/ 1 (- eps)) 2))))) in eps * [misc]taylor: Rewrote expression to (log (+ 1 (expm1 (* -2 (sin (/ (/ 1 (- eps)) 2)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (expm1 (* -2 (sin (/ (/ 1 (- eps)) 2))))) in eps * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (* -2 (sin (/ (/ 1 (- eps)) 2)))) in eps * [misc]taylor: Rewrote expression to (- (exp (* -2 (sin (/ (/ 1 (- eps)) 2)))) 1) * [misc]taylor: Taking taylor expansion of (exp (* -2 (sin (/ (/ 1 (- eps)) 2)))) in eps * [misc]taylor: Taking taylor expansion of (* -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 (- 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 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]backup-simplify: Simplify (* -2 (sin (/ -1/2 eps))) into (* -2 (sin (/ -1/2 eps))) * [misc]backup-simplify: Simplify (exp (* -2 (sin (/ -1/2 eps)))) into (exp (* -2 (sin (/ -1/2 eps)))) * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ -1 (exp (* -2 (sin (/ -1/2 eps))))) into (- (exp (* -2 (sin (/ -1/2 eps)))) 1) * [misc]backup-simplify: Simplify (+ 1 (- (exp (* -2 (sin (/ -1/2 eps)))) 1)) into (exp (* -2 (sin (/ -1/2 eps)))) * [misc]backup-simplify: Simplify (log (exp (* -2 (sin (/ -1/2 eps))))) into (* -2 (sin (/ -1/2 eps))) * [misc]taylor: Taking taylor expansion of (sin (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 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 (- eps)) (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (sin (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) into (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (* (log1p (expm1 (* -2 (sin (/ (/ 1 (- eps)) 2))))) (sin (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2))) in eps * [misc]taylor: Taking taylor expansion of (log1p (expm1 (* -2 (sin (/ (/ 1 (- eps)) 2))))) in eps * [misc]taylor: Rewrote expression to (log (+ 1 (expm1 (* -2 (sin (/ (/ 1 (- eps)) 2)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (expm1 (* -2 (sin (/ (/ 1 (- eps)) 2))))) in eps * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (* -2 (sin (/ (/ 1 (- eps)) 2)))) in eps * [misc]taylor: Rewrote expression to (- (exp (* -2 (sin (/ (/ 1 (- eps)) 2)))) 1) * [misc]taylor: Taking taylor expansion of (exp (* -2 (sin (/ (/ 1 (- eps)) 2)))) in eps * [misc]taylor: Taking taylor expansion of (* -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 (- 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 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]backup-simplify: Simplify (* -2 (sin (/ -1/2 eps))) into (* -2 (sin (/ -1/2 eps))) * [misc]backup-simplify: Simplify (exp (* -2 (sin (/ -1/2 eps)))) into (exp (* -2 (sin (/ -1/2 eps)))) * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ -1 (exp (* -2 (sin (/ -1/2 eps))))) into (- (exp (* -2 (sin (/ -1/2 eps)))) 1) * [misc]backup-simplify: Simplify (+ 1 (- (exp (* -2 (sin (/ -1/2 eps)))) 1)) into (exp (* -2 (sin (/ -1/2 eps)))) * [misc]backup-simplify: Simplify (log (exp (* -2 (sin (/ -1/2 eps))))) into (* -2 (sin (/ -1/2 eps))) * [misc]taylor: Taking taylor expansion of (sin (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 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 (- eps)) (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (sin (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) into (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (* (* -2 (sin (/ -1/2 eps))) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (* -2 (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) * [misc]taylor: Taking taylor expansion of (* -2 (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) 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 (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) in x * [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 (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of -1/2 in x * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [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 into 1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify -1 into -1 * [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 eps)) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sin (/ -1/2 eps)) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]backup-simplify: Simplify (* -2 (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into (* -2 (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) * [misc]backup-simplify: Simplify (* -2 (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into (* -2 (* (sin (/ -1/2 eps)) (sin (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 0 (exp (* -2 (sin (/ -1/2 eps))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 eps) (* (/ -1/2 eps) (/ 0 eps))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (/ 0 (pow (exp (* -2 (sin (/ -1/2 eps)))) 2))) (/ 0 (exp (* -2 (sin (/ -1/2 eps)))))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 eps) (* (/ -1/2 eps) (/ 0 eps))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ 0 (pow (exp (* -2 (sin (/ -1/2 eps)))) 3))) (+ (* -3 (/ 0 (pow (exp (* -2 (sin (/ -1/2 eps)))) 2))) (/ 0 (exp (* -2 (sin (/ -1/2 eps))))))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -2 (* (sin (/ -1/2 (/ 1 (- eps)))) (sin (* -1/2 (+ (/ 1 (/ 1 (- eps))) (* 2 (/ 1 (/ 1 (- x))))))))) into (* -2 (* (sin (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (log1p (expm1 (* -2 (sin (/ eps 2))))) in (eps) around 0 * [misc]taylor: Taking taylor expansion of (log1p (expm1 (* -2 (sin (/ eps 2))))) in eps * [misc]taylor: Rewrote expression to (log (+ 1 (expm1 (* -2 (sin (/ eps 2)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (expm1 (* -2 (sin (/ eps 2))))) in eps * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (* -2 (sin (/ eps 2)))) in eps * [misc]taylor: Rewrote expression to (- (exp (* -2 (sin (/ eps 2)))) 1) * [misc]taylor: Taking taylor expansion of (exp (* -2 (sin (/ eps 2)))) in eps * [misc]taylor: Taking taylor expansion of (* -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 (/ 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]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify -1 into -1 * [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 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (log1p (expm1 (* -2 (sin (/ eps 2))))) in eps * [misc]taylor: Rewrote expression to (log (+ 1 (expm1 (* -2 (sin (/ eps 2)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (expm1 (* -2 (sin (/ eps 2))))) in eps * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (* -2 (sin (/ eps 2)))) in eps * [misc]taylor: Rewrote expression to (- (exp (* -2 (sin (/ eps 2)))) 1) * [misc]taylor: Taking taylor expansion of (exp (* -2 (sin (/ eps 2)))) in eps * [misc]taylor: Taking taylor expansion of (* -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 (/ 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]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify -1 into -1 * [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 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1/48 into -1/48 * [misc]backup-simplify: Simplify 1/24 into 1/24 * [misc]backup-simplify: Simplify -1/8 into -1/8 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1/8 into -1/8 * [misc]backup-simplify: Simplify -1/8 into -1/8 * [misc]backup-simplify: Simplify 1/24 into 1/24 * [misc]backup-simplify: Simplify 1/24 into 1/24 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1/3840 into 1/3840 * [misc]backup-simplify: Simplify -1/1920 into -1/1920 * [misc]backup-simplify: Simplify 23/1920 into 23/1920 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 23/1920 into 23/1920 * [misc]backup-simplify: Simplify 23/1920 into 23/1920 * [misc]backup-simplify: Simplify -1/1920 into -1/1920 * [misc]backup-simplify: Simplify -1/1920 into -1/1920 * [misc]backup-simplify: Simplify (+ (* -1/1920 (pow eps 5)) (+ (* 1/24 (pow eps 3)) (* -1 eps))) into (- (* 1/24 (pow eps 3)) (+ (* 1/1920 (pow eps 5)) eps)) * [misc]approximate: Taking taylor expansion of (log1p (expm1 (* -2 (sin (/ (/ 1 eps) 2))))) in (eps) around 0 * [misc]taylor: Taking taylor expansion of (log1p (expm1 (* -2 (sin (/ (/ 1 eps) 2))))) in eps * [misc]taylor: Rewrote expression to (log (+ 1 (expm1 (* -2 (sin (/ (/ 1 eps) 2)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (expm1 (* -2 (sin (/ (/ 1 eps) 2))))) in eps * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (* -2 (sin (/ (/ 1 eps) 2)))) in eps * [misc]taylor: Rewrote expression to (- (exp (* -2 (sin (/ (/ 1 eps) 2)))) 1) * [misc]taylor: Taking taylor expansion of (exp (* -2 (sin (/ (/ 1 eps) 2)))) in eps * [misc]taylor: Taking taylor expansion of (* -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 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 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]backup-simplify: Simplify (* -2 (sin (/ 1/2 eps))) into (* -2 (sin (/ 1/2 eps))) * [misc]backup-simplify: Simplify (exp (* -2 (sin (/ 1/2 eps)))) into (exp (* -2 (sin (/ 1/2 eps)))) * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ -1 (exp (* -2 (sin (/ 1/2 eps))))) into (- (exp (* -2 (sin (/ 1/2 eps)))) 1) * [misc]backup-simplify: Simplify (+ 1 (- (exp (* -2 (sin (/ 1/2 eps)))) 1)) into (exp (* -2 (sin (/ 1/2 eps)))) * [misc]backup-simplify: Simplify (log (exp (* -2 (sin (/ 1/2 eps))))) into (* -2 (sin (/ 1/2 eps))) * [misc]taylor: Taking taylor expansion of (log1p (expm1 (* -2 (sin (/ (/ 1 eps) 2))))) in eps * [misc]taylor: Rewrote expression to (log (+ 1 (expm1 (* -2 (sin (/ (/ 1 eps) 2)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (expm1 (* -2 (sin (/ (/ 1 eps) 2))))) in eps * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (* -2 (sin (/ (/ 1 eps) 2)))) in eps * [misc]taylor: Rewrote expression to (- (exp (* -2 (sin (/ (/ 1 eps) 2)))) 1) * [misc]taylor: Taking taylor expansion of (exp (* -2 (sin (/ (/ 1 eps) 2)))) in eps * [misc]taylor: Taking taylor expansion of (* -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 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 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]backup-simplify: Simplify (* -2 (sin (/ 1/2 eps))) into (* -2 (sin (/ 1/2 eps))) * [misc]backup-simplify: Simplify (exp (* -2 (sin (/ 1/2 eps)))) into (exp (* -2 (sin (/ 1/2 eps)))) * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ -1 (exp (* -2 (sin (/ 1/2 eps))))) into (- (exp (* -2 (sin (/ 1/2 eps)))) 1) * [misc]backup-simplify: Simplify (+ 1 (- (exp (* -2 (sin (/ 1/2 eps)))) 1)) into (exp (* -2 (sin (/ 1/2 eps)))) * [misc]backup-simplify: Simplify (log (exp (* -2 (sin (/ 1/2 eps))))) into (* -2 (sin (/ 1/2 eps))) * [misc]backup-simplify: Simplify (* -2 (sin (/ 1/2 eps))) into (* -2 (sin (/ 1/2 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 (exp (* -2 (sin (/ 1/2 eps))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (/ 0 (pow (exp (* -2 (sin (/ 1/2 eps)))) 2))) (/ 0 (exp (* -2 (sin (/ 1/2 eps)))))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ 0 (pow (exp (* -2 (sin (/ 1/2 eps)))) 3))) (+ (* -3 (/ 0 (pow (exp (* -2 (sin (/ 1/2 eps)))) 2))) (/ 0 (exp (* -2 (sin (/ 1/2 eps))))))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ 0 (pow (exp (* -2 (sin (/ 1/2 eps)))) 4))) (+ (* 12 (/ 0 (pow (exp (* -2 (sin (/ 1/2 eps)))) 3))) (+ (* -3 (/ 0 (pow (exp (* -2 (sin (/ 1/2 eps)))) 2))) (+ (* -4 (/ 0 (pow (exp (* -2 (sin (/ 1/2 eps)))) 2))) (/ 0 (exp (* -2 (sin (/ 1/2 eps))))))))) 24) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ 0 (pow (exp (* -2 (sin (/ 1/2 eps)))) 5))) (+ (* -60 (/ 0 (pow (exp (* -2 (sin (/ 1/2 eps)))) 4))) (+ (* 30 (/ 0 (pow (exp (* -2 (sin (/ 1/2 eps)))) 3))) (+ (* 20 (/ 0 (pow (exp (* -2 (sin (/ 1/2 eps)))) 3))) (+ (* -10 (/ 0 (pow (exp (* -2 (sin (/ 1/2 eps)))) 2))) (+ (* -5 (/ 0 (pow (exp (* -2 (sin (/ 1/2 eps)))) 2))) (/ 0 (exp (* -2 (sin (/ 1/2 eps))))))))))) 120) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ 0 (pow (exp (* -2 (sin (/ 1/2 eps)))) 6))) (+ (* 360 (/ 0 (pow (exp (* -2 (sin (/ 1/2 eps)))) 5))) (+ (* -270 (/ 0 (pow (exp (* -2 (sin (/ 1/2 eps)))) 4))) (+ (* -120 (/ 0 (pow (exp (* -2 (sin (/ 1/2 eps)))) 4))) (+ (* 30 (/ 0 (pow (exp (* -2 (sin (/ 1/2 eps)))) 3))) (+ (* 120 (/ 0 (pow (exp (* -2 (sin (/ 1/2 eps)))) 3))) (+ (* 30 (/ 0 (pow (exp (* -2 (sin (/ 1/2 eps)))) 3))) (+ (* -10 (/ 0 (pow (exp (* -2 (sin (/ 1/2 eps)))) 2))) (+ (* -15 (/ 0 (pow (exp (* -2 (sin (/ 1/2 eps)))) 2))) (+ (* -6 (/ 0 (pow (exp (* -2 (sin (/ 1/2 eps)))) 2))) (/ 0 (exp (* -2 (sin (/ 1/2 eps))))))))))))))) 720) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -2 (sin (/ 1/2 (/ 1 eps)))) into (* -2 (sin (* 1/2 eps))) * [misc]approximate: Taking taylor expansion of (log1p (expm1 (* -2 (sin (/ (/ 1 (- eps)) 2))))) in (eps) around 0 * [misc]taylor: Taking taylor expansion of (log1p (expm1 (* -2 (sin (/ (/ 1 (- eps)) 2))))) in eps * [misc]taylor: Rewrote expression to (log (+ 1 (expm1 (* -2 (sin (/ (/ 1 (- eps)) 2)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (expm1 (* -2 (sin (/ (/ 1 (- eps)) 2))))) in eps * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (* -2 (sin (/ (/ 1 (- eps)) 2)))) in eps * [misc]taylor: Rewrote expression to (- (exp (* -2 (sin (/ (/ 1 (- eps)) 2)))) 1) * [misc]taylor: Taking taylor expansion of (exp (* -2 (sin (/ (/ 1 (- eps)) 2)))) in eps * [misc]taylor: Taking taylor expansion of (* -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 (- 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 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]backup-simplify: Simplify (* -2 (sin (/ -1/2 eps))) into (* -2 (sin (/ -1/2 eps))) * [misc]backup-simplify: Simplify (exp (* -2 (sin (/ -1/2 eps)))) into (exp (* -2 (sin (/ -1/2 eps)))) * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ -1 (exp (* -2 (sin (/ -1/2 eps))))) into (- (exp (* -2 (sin (/ -1/2 eps)))) 1) * [misc]backup-simplify: Simplify (+ 1 (- (exp (* -2 (sin (/ -1/2 eps)))) 1)) into (exp (* -2 (sin (/ -1/2 eps)))) * [misc]backup-simplify: Simplify (log (exp (* -2 (sin (/ -1/2 eps))))) into (* -2 (sin (/ -1/2 eps))) * [misc]taylor: Taking taylor expansion of (log1p (expm1 (* -2 (sin (/ (/ 1 (- eps)) 2))))) in eps * [misc]taylor: Rewrote expression to (log (+ 1 (expm1 (* -2 (sin (/ (/ 1 (- eps)) 2)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (expm1 (* -2 (sin (/ (/ 1 (- eps)) 2))))) in eps * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (* -2 (sin (/ (/ 1 (- eps)) 2)))) in eps * [misc]taylor: Rewrote expression to (- (exp (* -2 (sin (/ (/ 1 (- eps)) 2)))) 1) * [misc]taylor: Taking taylor expansion of (exp (* -2 (sin (/ (/ 1 (- eps)) 2)))) in eps * [misc]taylor: Taking taylor expansion of (* -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 (- 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 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]backup-simplify: Simplify (* -2 (sin (/ -1/2 eps))) into (* -2 (sin (/ -1/2 eps))) * [misc]backup-simplify: Simplify (exp (* -2 (sin (/ -1/2 eps)))) into (exp (* -2 (sin (/ -1/2 eps)))) * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ -1 (exp (* -2 (sin (/ -1/2 eps))))) into (- (exp (* -2 (sin (/ -1/2 eps)))) 1) * [misc]backup-simplify: Simplify (+ 1 (- (exp (* -2 (sin (/ -1/2 eps)))) 1)) into (exp (* -2 (sin (/ -1/2 eps)))) * [misc]backup-simplify: Simplify (log (exp (* -2 (sin (/ -1/2 eps))))) into (* -2 (sin (/ -1/2 eps))) * [misc]backup-simplify: Simplify (* -2 (sin (/ -1/2 eps))) into (* -2 (sin (/ -1/2 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 (exp (* -2 (sin (/ -1/2 eps))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (/ 0 (pow (exp (* -2 (sin (/ -1/2 eps)))) 2))) (/ 0 (exp (* -2 (sin (/ -1/2 eps)))))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ 0 (pow (exp (* -2 (sin (/ -1/2 eps)))) 3))) (+ (* -3 (/ 0 (pow (exp (* -2 (sin (/ -1/2 eps)))) 2))) (/ 0 (exp (* -2 (sin (/ -1/2 eps))))))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ 0 (pow (exp (* -2 (sin (/ -1/2 eps)))) 4))) (+ (* 12 (/ 0 (pow (exp (* -2 (sin (/ -1/2 eps)))) 3))) (+ (* -3 (/ 0 (pow (exp (* -2 (sin (/ -1/2 eps)))) 2))) (+ (* -4 (/ 0 (pow (exp (* -2 (sin (/ -1/2 eps)))) 2))) (/ 0 (exp (* -2 (sin (/ -1/2 eps))))))))) 24) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ 0 (pow (exp (* -2 (sin (/ -1/2 eps)))) 5))) (+ (* -60 (/ 0 (pow (exp (* -2 (sin (/ -1/2 eps)))) 4))) (+ (* 30 (/ 0 (pow (exp (* -2 (sin (/ -1/2 eps)))) 3))) (+ (* 20 (/ 0 (pow (exp (* -2 (sin (/ -1/2 eps)))) 3))) (+ (* -10 (/ 0 (pow (exp (* -2 (sin (/ -1/2 eps)))) 2))) (+ (* -5 (/ 0 (pow (exp (* -2 (sin (/ -1/2 eps)))) 2))) (/ 0 (exp (* -2 (sin (/ -1/2 eps))))))))))) 120) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ 0 (pow (exp (* -2 (sin (/ -1/2 eps)))) 6))) (+ (* 360 (/ 0 (pow (exp (* -2 (sin (/ -1/2 eps)))) 5))) (+ (* -270 (/ 0 (pow (exp (* -2 (sin (/ -1/2 eps)))) 4))) (+ (* -120 (/ 0 (pow (exp (* -2 (sin (/ -1/2 eps)))) 4))) (+ (* 30 (/ 0 (pow (exp (* -2 (sin (/ -1/2 eps)))) 3))) (+ (* 120 (/ 0 (pow (exp (* -2 (sin (/ -1/2 eps)))) 3))) (+ (* 30 (/ 0 (pow (exp (* -2 (sin (/ -1/2 eps)))) 3))) (+ (* -10 (/ 0 (pow (exp (* -2 (sin (/ -1/2 eps)))) 2))) (+ (* -15 (/ 0 (pow (exp (* -2 (sin (/ -1/2 eps)))) 2))) (+ (* -6 (/ 0 (pow (exp (* -2 (sin (/ -1/2 eps)))) 2))) (/ 0 (exp (* -2 (sin (/ -1/2 eps))))))))))))))) 720) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -2 (sin (/ -1/2 (/ 1 (- eps))))) into (* -2 (sin (* 1/2 eps))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (expm1 (* -2 (sin (/ eps 2)))) in (eps) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (* -2 (sin (/ eps 2)))) in eps * [misc]taylor: Rewrote expression to (- (exp (* -2 (sin (/ eps 2)))) 1) * [misc]taylor: Taking taylor expansion of (exp (* -2 (sin (/ eps 2)))) in eps * [misc]taylor: Taking taylor expansion of (* -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 (/ 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]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (* -2 (sin (/ eps 2)))) in eps * [misc]taylor: Rewrote expression to (- (exp (* -2 (sin (/ eps 2)))) 1) * [misc]taylor: Taking taylor expansion of (exp (* -2 (sin (/ eps 2)))) in eps * [misc]taylor: Taking taylor expansion of (* -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 (/ 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]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify -1 into -1 * [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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1/48 into -1/48 * [misc]backup-simplify: Simplify 1/24 into 1/24 * [misc]backup-simplify: Simplify -1/8 into -1/8 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1/8 into -1/8 * [misc]backup-simplify: Simplify -1/8 into -1/8 * [misc]backup-simplify: Simplify (+ (* -1/8 (pow eps 3)) (+ (* 1/2 (pow eps 2)) (* -1 eps))) into (- (* 1/2 (pow eps 2)) (+ (* 1/8 (pow eps 3)) eps)) * [misc]approximate: Taking taylor expansion of (expm1 (* -2 (sin (/ (/ 1 eps) 2)))) in (eps) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (* -2 (sin (/ (/ 1 eps) 2)))) in eps * [misc]taylor: Rewrote expression to (- (exp (* -2 (sin (/ (/ 1 eps) 2)))) 1) * [misc]taylor: Taking taylor expansion of (exp (* -2 (sin (/ (/ 1 eps) 2)))) in eps * [misc]taylor: Taking taylor expansion of (* -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 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 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]backup-simplify: Simplify (* -2 (sin (/ 1/2 eps))) into (* -2 (sin (/ 1/2 eps))) * [misc]backup-simplify: Simplify (exp (* -2 (sin (/ 1/2 eps)))) into (exp (* -2 (sin (/ 1/2 eps)))) * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (* -2 (sin (/ (/ 1 eps) 2)))) in eps * [misc]taylor: Rewrote expression to (- (exp (* -2 (sin (/ (/ 1 eps) 2)))) 1) * [misc]taylor: Taking taylor expansion of (exp (* -2 (sin (/ (/ 1 eps) 2)))) in eps * [misc]taylor: Taking taylor expansion of (* -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 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 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]backup-simplify: Simplify (* -2 (sin (/ 1/2 eps))) into (* -2 (sin (/ 1/2 eps))) * [misc]backup-simplify: Simplify (exp (* -2 (sin (/ 1/2 eps)))) into (exp (* -2 (sin (/ 1/2 eps)))) * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ -1 (exp (* -2 (sin (/ 1/2 eps))))) into (- (exp (* -2 (sin (/ 1/2 eps)))) 1) * [misc]backup-simplify: Simplify (- (exp (* -2 (sin (/ 1/2 eps)))) 1) into (- (exp (* -2 (sin (/ 1/2 eps)))) 1) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (exp (* -2 (sin (/ 1/2 (/ 1 eps))))) 1) into (- (exp (* -2 (sin (* 1/2 eps)))) 1) * [misc]approximate: Taking taylor expansion of (expm1 (* -2 (sin (/ (/ 1 (- eps)) 2)))) in (eps) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (* -2 (sin (/ (/ 1 (- eps)) 2)))) in eps * [misc]taylor: Rewrote expression to (- (exp (* -2 (sin (/ (/ 1 (- eps)) 2)))) 1) * [misc]taylor: Taking taylor expansion of (exp (* -2 (sin (/ (/ 1 (- eps)) 2)))) in eps * [misc]taylor: Taking taylor expansion of (* -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 (- 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 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]backup-simplify: Simplify (* -2 (sin (/ -1/2 eps))) into (* -2 (sin (/ -1/2 eps))) * [misc]backup-simplify: Simplify (exp (* -2 (sin (/ -1/2 eps)))) into (exp (* -2 (sin (/ -1/2 eps)))) * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (* -2 (sin (/ (/ 1 (- eps)) 2)))) in eps * [misc]taylor: Rewrote expression to (- (exp (* -2 (sin (/ (/ 1 (- eps)) 2)))) 1) * [misc]taylor: Taking taylor expansion of (exp (* -2 (sin (/ (/ 1 (- eps)) 2)))) in eps * [misc]taylor: Taking taylor expansion of (* -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 (- 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 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]backup-simplify: Simplify (* -2 (sin (/ -1/2 eps))) into (* -2 (sin (/ -1/2 eps))) * [misc]backup-simplify: Simplify (exp (* -2 (sin (/ -1/2 eps)))) into (exp (* -2 (sin (/ -1/2 eps)))) * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ -1 (exp (* -2 (sin (/ -1/2 eps))))) into (- (exp (* -2 (sin (/ -1/2 eps)))) 1) * [misc]backup-simplify: Simplify (- (exp (* -2 (sin (/ -1/2 eps)))) 1) into (- (exp (* -2 (sin (/ -1/2 eps)))) 1) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (exp (* -2 (sin (/ -1/2 (/ 1 (- eps)))))) 1) into (- (exp (* -2 (sin (* 1/2 eps)))) 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sin (/ (+ x (+ eps x)) 2))) * * [misc]simplify: iters left: 6 (8 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 (expm1 (sin (/ (+ x (+ eps x)) 2))) * [exit]simplify: Simplified to (expm1 (sin (/ (+ x (+ eps x)) 2))) * * * * [misc]progress: [ 2 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sin (/ (+ x (+ eps x)) 2))) * * [misc]simplify: iters left: 6 (8 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 (log1p (sin (/ (+ x (+ eps x)) 2))) * [exit]simplify: Simplified to (log1p (sin (/ (+ x (+ eps x)) 2))) * * * * [misc]progress: [ 3 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sin (/ (+ x (+ eps x)) 2))) * * [misc]simplify: iters left: 6 (8 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 (log (sin (/ (+ x (+ eps x)) 2))) * [exit]simplify: Simplified to (log (sin (/ (+ x (+ eps x)) 2))) * * * * [misc]progress: [ 5 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sin (/ (+ x (+ eps x)) 2))) * * [misc]simplify: iters left: 6 (8 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 (exp (sin (/ (+ x (+ eps x)) 2))) * [exit]simplify: Simplified to (exp (sin (/ (+ x (+ eps x)) 2))) * * * * [misc]progress: [ 6 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sin (/ (+ x (+ eps x)) 2))) (cbrt (sin (/ (+ x (+ eps x)) 2)))) * * [misc]simplify: iters left: 6 (9 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 (+ eps x)) 2))) (cbrt (sin (/ (+ x (+ eps x)) 2)))) * [exit]simplify: Simplified to (* (cbrt (sin (/ (+ x (+ eps x)) 2))) (cbrt (sin (/ (+ x (+ eps x)) 2)))) * [enter]simplify: Simplifying (cbrt (sin (/ (+ x (+ eps x)) 2))) * * [misc]simplify: iters left: 6 (8 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 (sin (/ (+ x (+ eps x)) 2))) * [exit]simplify: Simplified to (cbrt (sin (/ (+ x (+ eps x)) 2))) * * * * [misc]progress: [ 7 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sin (/ (+ x (+ eps x)) 2)) (sin (/ (+ x (+ eps x)) 2))) (sin (/ (+ x (+ eps x)) 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (pow (sin (/ (+ x (+ eps x)) 2)) 3) * [exit]simplify: Simplified to (pow (sin (/ (+ x (+ eps x)) 2)) 3) * * * * [misc]progress: [ 8 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sin (/ (+ x (+ eps x)) 2))) * * [misc]simplify: iters left: 6 (8 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 (sin (/ (+ x (+ eps x)) 2))) * [exit]simplify: Simplified to (sqrt (sin (/ (+ x (+ eps x)) 2))) * [enter]simplify: Simplifying (sqrt (sin (/ (+ x (+ eps x)) 2))) * * [misc]simplify: iters left: 6 (8 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 (sin (/ (+ x (+ eps x)) 2))) * [exit]simplify: Simplified to (sqrt (sin (/ (+ x (+ eps x)) 2))) * * * * [misc]progress: [ 9 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (log1p (expm1 (* -2 (sin (/ eps 2))))) (sin (/ (+ x (+ eps x)) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (expm1 (* (sin (/ (+ (+ x eps) x) 2)) (* -2 (sin (/ eps 2))))) * [exit]simplify: Simplified to (expm1 (* (sin (/ (+ (+ x eps) x) 2)) (* -2 (sin (/ eps 2))))) * * * * [misc]progress: [ 11 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (log1p (expm1 (* -2 (sin (/ eps 2))))) (sin (/ (+ x (+ eps x)) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (log1p (* (sin (/ (+ (+ x eps) x) 2)) (* -2 (sin (/ eps 2))))) * [exit]simplify: Simplified to (log1p (* (sin (/ (+ (+ x eps) x) 2)) (* -2 (sin (/ eps 2))))) * * * * [misc]progress: [ 12 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log1p (expm1 (* -2 (sin (/ eps 2))))) (sin (/ (+ x (+ eps x)) 2))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (* (sin (/ (+ eps (+ x x)) 2)) (* -2 (sin (/ eps 2)))) * [exit]simplify: Simplified to (* (sin (/ (+ eps (+ x x)) 2)) (* -2 (sin (/ eps 2)))) * * * * [misc]progress: [ 13 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (log1p (expm1 (* -2 (sin (/ eps 2)))))) (log (sin (/ (+ x (+ eps x)) 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * [exit]simplify: Simplified to (+ (log (sin (/ (+ x (+ eps x)) 2))) (log (* -2 (sin (/ eps 2))))) * [exit]simplify: Simplified to (+ (log (sin (/ (+ x (+ eps x)) 2))) (log (* -2 (sin (/ eps 2))))) * * * * [misc]progress: [ 15 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (log1p (expm1 (* -2 (sin (/ eps 2))))) (sin (/ (+ x (+ eps x)) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * [exit]simplify: Simplified to (log (* (sin (/ (+ (+ x eps) x) 2)) (* -2 (sin (/ eps 2))))) * [exit]simplify: Simplified to (log (* (sin (/ (+ (+ x eps) x) 2)) (* -2 (sin (/ eps 2))))) * * * * [misc]progress: [ 16 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (log1p (expm1 (* -2 (sin (/ eps 2))))) (sin (/ (+ x (+ eps x)) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * [exit]simplify: Simplified to (pow (pow (exp -2) (sin (/ eps 2))) (sin (/ (+ eps (+ x x)) 2))) * [exit]simplify: Simplified to (pow (pow (exp -2) (sin (/ eps 2))) (sin (/ (+ eps (+ x x)) 2))) * * * * [misc]progress: [ 17 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (log1p (expm1 (* -2 (sin (/ eps 2))))) (log1p (expm1 (* -2 (sin (/ eps 2)))))) (log1p (expm1 (* -2 (sin (/ eps 2)))))) (* (* (sin (/ (+ x (+ eps x)) 2)) (sin (/ (+ x (+ eps x)) 2))) (sin (/ (+ x (+ eps x)) 2)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (195 enodes) * [exit]simplify: Simplified to (* (* (sin (/ (+ (+ x eps) x) 2)) (pow (* -2 (sin (/ eps 2))) 3)) (* (sin (/ (+ (+ x eps) x) 2)) (sin (/ (+ (+ x eps) x) 2)))) * [exit]simplify: Simplified to (* (* (sin (/ (+ (+ x eps) x) 2)) (pow (* -2 (sin (/ eps 2))) 3)) (* (sin (/ (+ (+ x eps) x) 2)) (sin (/ (+ (+ x eps) x) 2)))) * * * * [misc]progress: [ 18 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (log1p (expm1 (* -2 (sin (/ eps 2))))) (sin (/ (+ x (+ eps x)) 2)))) (cbrt (* (log1p (expm1 (* -2 (sin (/ eps 2))))) (sin (/ (+ x (+ eps x)) 2))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sin (/ (+ (+ x eps) x) 2)) (* -2 (sin (/ eps 2))))) (cbrt (* (sin (/ (+ (+ x eps) x) 2)) (* -2 (sin (/ eps 2)))))) * [exit]simplify: Simplified to (* (cbrt (* (sin (/ (+ (+ x eps) x) 2)) (* -2 (sin (/ eps 2))))) (cbrt (* (sin (/ (+ (+ x eps) x) 2)) (* -2 (sin (/ eps 2)))))) * [enter]simplify: Simplifying (cbrt (* (log1p (expm1 (* -2 (sin (/ eps 2))))) (sin (/ (+ x (+ eps x)) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (cbrt (* (sin (/ (+ (+ x eps) x) 2)) (* -2 (sin (/ eps 2))))) * [exit]simplify: Simplified to (cbrt (* (sin (/ (+ (+ x eps) x) 2)) (* -2 (sin (/ eps 2))))) * * * * [misc]progress: [ 19 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (log1p (expm1 (* -2 (sin (/ eps 2))))) (sin (/ (+ x (+ eps x)) 2))) (* (log1p (expm1 (* -2 (sin (/ eps 2))))) (sin (/ (+ x (+ eps x)) 2)))) (* (log1p (expm1 (* -2 (sin (/ eps 2))))) (sin (/ (+ x (+ eps x)) 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (179 enodes) * [exit]simplify: Simplified to (pow (* (sin (/ (+ (+ x eps) x) 2)) (* -2 (sin (/ eps 2)))) 3) * [exit]simplify: Simplified to (pow (* (sin (/ (+ (+ x eps) x) 2)) (* -2 (sin (/ eps 2)))) 3) * * * * [misc]progress: [ 20 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (log1p (expm1 (* -2 (sin (/ eps 2))))) (sin (/ (+ x (+ eps x)) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (sqrt (* (sin (/ (+ (+ x eps) x) 2)) (* -2 (sin (/ eps 2))))) * [exit]simplify: Simplified to (sqrt (* (sin (/ (+ (+ x eps) x) 2)) (* -2 (sin (/ eps 2))))) * [enter]simplify: Simplifying (sqrt (* (log1p (expm1 (* -2 (sin (/ eps 2))))) (sin (/ (+ x (+ eps x)) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (sqrt (* (sin (/ (+ (+ x eps) x) 2)) (* -2 (sin (/ eps 2))))) * [exit]simplify: Simplified to (sqrt (* (sin (/ (+ (+ x eps) x) 2)) (* -2 (sin (/ eps 2))))) * * * * [misc]progress: [ 21 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log1p (expm1 (* -2 (sin (/ eps 2))))) (* (cbrt (sin (/ (+ x (+ eps x)) 2))) (cbrt (sin (/ (+ x (+ eps x)) 2))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * [exit]simplify: Simplified to (* (* -2 (sin (/ eps 2))) (* (cbrt (sin (/ (+ (+ x x) eps) 2))) (cbrt (sin (/ (+ (+ x x) eps) 2))))) * [exit]simplify: Simplified to (* (* -2 (sin (/ eps 2))) (* (cbrt (sin (/ (+ (+ x x) eps) 2))) (cbrt (sin (/ (+ (+ x x) eps) 2))))) * * * * [misc]progress: [ 23 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log1p (expm1 (* -2 (sin (/ eps 2))))) (sqrt (sin (/ (+ x (+ eps x)) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (* (sqrt (sin (/ (+ (+ x eps) x) 2))) (* -2 (sin (/ eps 2)))) * [exit]simplify: Simplified to (* (sqrt (sin (/ (+ (+ x eps) x) 2))) (* -2 (sin (/ eps 2)))) * * * * [misc]progress: [ 24 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log1p (expm1 (* -2 (sin (/ eps 2))))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (* -2 (sin (/ eps 2))) * [exit]simplify: Simplified to (* -2 (sin (/ eps 2))) * * * * [misc]progress: [ 25 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log1p (expm1 (* -2 (sin (/ eps 2)))))) (sin (/ (+ x (+ eps x)) 2))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (* (sin (/ (+ x (+ eps x)) 2)) (cbrt (* -2 (sin (/ eps 2))))) * [exit]simplify: Simplified to (* (sin (/ (+ x (+ eps x)) 2)) (cbrt (* -2 (sin (/ eps 2))))) * * * * [misc]progress: [ 26 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (log1p (expm1 (* -2 (sin (/ eps 2)))))) (sin (/ (+ x (+ eps x)) 2))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (* (sin (/ (+ x (+ eps x)) 2)) (sqrt (* -2 (sin (/ eps 2))))) * [exit]simplify: Simplified to (* (sin (/ (+ x (+ eps x)) 2)) (sqrt (* -2 (sin (/ eps 2))))) * * * * [misc]progress: [ 27 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log1p (expm1 (* -2 (sin (/ eps 2))))) (sin (/ (+ x (+ eps x)) 2))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (* (sin (/ (+ eps (+ x x)) 2)) (* -2 (sin (/ eps 2)))) * [exit]simplify: Simplified to (* (sin (/ (+ eps (+ x x)) 2)) (* -2 (sin (/ eps 2)))) * * * * [misc]progress: [ 28 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 (expm1 (* -2 (sin (/ eps 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (+ 1 (expm1 (* (sin (/ eps 2)) -2))) * [exit]simplify: Simplified to (+ 1 (expm1 (* (sin (/ eps 2)) -2))) * * * * [misc]progress: [ 30 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (log1p (expm1 (* -2 (sin (/ eps 2)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (expm1 (* -2 (sin (/ eps 2)))) * [exit]simplify: Simplified to (expm1 (* -2 (sin (/ eps 2)))) * * * * [misc]progress: [ 31 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (log1p (expm1 (* -2 (sin (/ eps 2)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (log1p (* -2 (sin (/ eps 2)))) * [exit]simplify: Simplified to (log1p (* -2 (sin (/ eps 2)))) * * * * [misc]progress: [ 32 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log1p (expm1 (* -2 (sin (/ eps 2)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (log (* -2 (sin (/ eps 2)))) * [exit]simplify: Simplified to (log (* -2 (sin (/ eps 2)))) * * * * [misc]progress: [ 35 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log1p (expm1 (* -2 (sin (/ eps 2)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (pow (exp -2) (sin (/ eps 2))) * [exit]simplify: Simplified to (pow (exp -2) (sin (/ eps 2))) * * * * [misc]progress: [ 36 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log1p (expm1 (* -2 (sin (/ eps 2)))))) (cbrt (log1p (expm1 (* -2 (sin (/ eps 2))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (* -2 (sin (/ eps 2)))) (cbrt (* -2 (sin (/ eps 2))))) * [exit]simplify: Simplified to (* (cbrt (* -2 (sin (/ eps 2)))) (cbrt (* -2 (sin (/ eps 2))))) * [enter]simplify: Simplifying (cbrt (log1p (expm1 (* -2 (sin (/ eps 2)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (* -2 (sin (/ eps 2)))) * [exit]simplify: Simplified to (cbrt (* -2 (sin (/ eps 2)))) * * * * [misc]progress: [ 37 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (log1p (expm1 (* -2 (sin (/ eps 2))))) (log1p (expm1 (* -2 (sin (/ eps 2)))))) (log1p (expm1 (* -2 (sin (/ eps 2)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (pow (* -2 (sin (/ eps 2))) 3) * [exit]simplify: Simplified to (pow (* -2 (sin (/ eps 2))) 3) * * * * [misc]progress: [ 38 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log1p (expm1 (* -2 (sin (/ eps 2)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (* -2 (sin (/ eps 2)))) * [exit]simplify: Simplified to (sqrt (* -2 (sin (/ eps 2)))) * [enter]simplify: Simplifying (sqrt (log1p (expm1 (* -2 (sin (/ eps 2)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (* -2 (sin (/ eps 2)))) * [exit]simplify: Simplified to (sqrt (* -2 (sin (/ eps 2)))) * * * * [misc]progress: [ 39 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* -2 (sin (/ eps 2)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (pow (exp -2) (sin (/ eps 2))) * [exit]simplify: Simplified to (pow (exp -2) (sin (/ eps 2))) * * * * [misc]progress: [ 41 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (expm1 (* -2 (sin (/ eps 2))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (expm1 (expm1 (* -2 (sin (/ eps 2))))) * [exit]simplify: Simplified to (expm1 (expm1 (* -2 (sin (/ eps 2))))) * * * * [misc]progress: [ 42 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (expm1 (* -2 (sin (/ eps 2))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* -2 (sin (/ eps 2))) * [exit]simplify: Simplified to (* -2 (sin (/ eps 2))) * * * * [misc]progress: [ 43 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (log (expm1 (* -2 (sin (/ eps 2))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (log (expm1 (* -2 (sin (/ eps 2))))) * [exit]simplify: Simplified to (log (expm1 (* -2 (sin (/ eps 2))))) * * * * [misc]progress: [ 46 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (expm1 (* -2 (sin (/ eps 2))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (exp (expm1 (* -2 (sin (/ eps 2))))) * [exit]simplify: Simplified to (exp (expm1 (* -2 (sin (/ eps 2))))) * * * * [misc]progress: [ 47 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (expm1 (* -2 (sin (/ eps 2))))) (cbrt (expm1 (* -2 (sin (/ eps 2)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (expm1 (* -2 (sin (/ eps 2))))) (cbrt (expm1 (* -2 (sin (/ eps 2)))))) * [exit]simplify: Simplified to (* (cbrt (expm1 (* -2 (sin (/ eps 2))))) (cbrt (expm1 (* -2 (sin (/ eps 2)))))) * [enter]simplify: Simplifying (cbrt (expm1 (* -2 (sin (/ eps 2))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (cbrt (expm1 (* -2 (sin (/ eps 2))))) * [exit]simplify: Simplified to (cbrt (expm1 (* -2 (sin (/ eps 2))))) * * * * [misc]progress: [ 48 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (expm1 (* -2 (sin (/ eps 2)))) (expm1 (* -2 (sin (/ eps 2))))) (expm1 (* -2 (sin (/ eps 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (pow (expm1 (* -2 (sin (/ eps 2)))) 3) * [exit]simplify: Simplified to (pow (expm1 (* -2 (sin (/ eps 2)))) 3) * * * * [misc]progress: [ 49 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (expm1 (* -2 (sin (/ eps 2))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (expm1 (* -2 (sin (/ eps 2))))) * [exit]simplify: Simplified to (sqrt (expm1 (* -2 (sin (/ eps 2))))) * [enter]simplify: Simplifying (sqrt (expm1 (* -2 (sin (/ eps 2))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (expm1 (* -2 (sin (/ eps 2))))) * [exit]simplify: Simplified to (sqrt (expm1 (* -2 (sin (/ eps 2))))) * * * * [misc]progress: [ 50 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log1p (expm1 (* -2 (sin (/ eps 2))))) (- (+ (* 1/2 eps) x) (* 1/6 (pow x 3)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (223 enodes) * [exit]simplify: Simplified to (fma (* (* x (- 1/6)) (* (* x x) -2)) (sin (/ eps 2)) (* (sin (/ eps 2)) (* -2 (fma eps 1/2 x)))) * * * * [misc]progress: [ 52 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log1p (expm1 (* -2 (sin (/ eps 2))))) (sin (* 1/2 (+ eps (* 2 x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (* (sin (* 1/2 (fma 2 x eps))) (* -2 (sin (/ eps 2)))) * * * * [misc]progress: [ 53 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log1p (expm1 (* -2 (sin (/ eps 2))))) (sin (* 1/2 (+ eps (* 2 x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (* (sin (* 1/2 (fma 2 x eps))) (* -2 (sin (/ eps 2)))) * * * * [misc]progress: [ 54 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/24 (pow eps 4)) (+ (* eps x) (* 1/2 (pow eps 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (225 enodes) * [exit]simplify: Simplified to (- (* (pow eps 4) 1/24) (* eps (fma 1/2 eps x))) * * * * [misc]progress: [ 55 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (* (sin (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * [exit]simplify: Simplified to (* (sin (* (fma 2 x eps) 1/2)) (* -2 (sin (* eps 1/2)))) * * * * [misc]progress: [ 56 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (* (sin (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * [exit]simplify: Simplified to (* (sin (* (fma 2 x eps) 1/2)) (* -2 (sin (* eps 1/2)))) * * * * [misc]progress: [ 57 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* 1/24 (pow eps 3)) (+ (* 1/1920 (pow eps 5)) eps)) (sin (/ (+ x (+ eps x)) 2))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (275 enodes) * * [misc]simplify: iters left: 1 (499 enodes) * [exit]simplify: Simplified to (* (- (* (* eps eps) (* eps 1/24)) (fma 1/1920 (pow eps 5) eps)) (sin (/ (+ eps (+ x x)) 2))) * * * * [misc]progress: [ 58 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* -2 (sin (* 1/2 eps))) (sin (/ (+ x (+ eps x)) 2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (* (sin (/ (+ eps (+ x x)) 2)) (* -2 (sin (* eps 1/2)))) * * * * [misc]progress: [ 59 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* -2 (sin (* 1/2 eps))) (sin (/ (+ x (+ eps x)) 2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (* (sin (/ (+ eps (+ x x)) 2)) (* -2 (sin (* eps 1/2)))) * * * * [misc]progress: [ 60 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log1p (- (* 1/2 (pow eps 2)) (+ (* 1/8 (pow eps 3)) eps))) (sin (/ (+ x (+ eps x)) 2))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (226 enodes) * * [misc]simplify: iters left: 1 (334 enodes) * [exit]simplify: Simplified to (* (log1p (fma (- 1/2 (* 1/8 eps)) (* eps eps) (- eps))) (sin (/ (+ (+ x eps) x) 2))) * * * * [misc]progress: [ 61 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log1p (- (exp (* -2 (sin (* 1/2 eps)))) 1)) (sin (/ (+ x (+ eps x)) 2))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (* (sin (/ (+ (+ x eps) x) 2)) (* -2 (sin (* eps 1/2)))) * * * * [misc]progress: [ 62 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log1p (- (exp (* -2 (sin (* 1/2 eps)))) 1)) (sin (/ (+ x (+ eps x)) 2))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (* (sin (/ (+ (+ x eps) x) 2)) (* -2 (sin (* eps 1/2)))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# # # # # # # # # # # # # #) * [misc]regimes: searching between -0.01716190626336611 and -0.02697851118244632 on (- (cos (+ x eps)) (cos x)) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * [misc]regimes: searching between 0.011195489576708795 and 0.0 on (- (cos (+ x eps)) (cos x)) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * [misc]regimes: searching between -8.22041670439782e+107 and -1.436696275139096e+110 on x * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * [misc]regimes: searching between 180672641902.63242 and 202545.00776908154 on x * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * [misc]regimes: searching between 5.407712235454015e+88 and 3.0326737075074457e+87 on x * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * [misc]regimes: searching between 1.0567331106526584e+175 and 6.101242159647976e+174 on x * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * [misc]regimes: searching between -0.0016866668662033376 and -385.02704488806415 on eps * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * [misc]regimes: searching between 2552.99318862919 and 2.8861240588858183e-10 on eps * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * [misc]regimes: searching between -0.005522104170027742 and -0.012751053556111724 on (- (* (cos x) (cos eps)) (fma (sin eps) (sin x) (cos x))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * [misc]regimes: searching between 0.0351573492072208 and 2.701209811384331e-10 on (- (* (cos x) (cos eps)) (fma (sin eps) (sin x) (cos x))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * [misc]regimes: searching between -0.01716190626336606 and -0.05122684737981038 on (* -2 (exp (+ (log (sin (/ eps 2))) (log (sin (/ (+ x (+ eps x)) 2)))))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * [misc]regimes: searching between 0.02561342368990519 and 0.00858095313168303 on (exp (+ (log (sin (/ eps 2))) (log (sin (/ (+ x (+ eps x)) 2))))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * [misc]regimes: searching between 0.9994307194871467 and 0.9990065724300392 on (exp (+ (log (sin (/ eps 2))) (log (sin (/ (+ x (+ eps x)) 2))))) * [misc]regimes: searching between -3.6646387020398774 and -4.758210284043293 on (+ (log (sin (/ eps 2))) (log (sin (/ (+ x (+ eps x)) 2)))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * [misc]regimes: searching between -0.000569442614528335 and -0.0009939213461768086 on (+ (log (sin (/ eps 2))) (log (sin (/ (+ x (+ eps x)) 2)))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * [misc]regimes: searching between -0.017161906263366063 and -0.05122684737981037 on (* -2 (* (sin (/ eps 2)) (* (sqrt (sin (/ (+ x (+ eps x)) 2))) (sqrt (sin (/ (+ x (+ eps x)) 2)))))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * [misc]regimes: searching between 0.01194961263598815 and 3.61479633002234e-63 on (* -2 (* (sin (/ eps 2)) (* (sqrt (sin (/ (+ x (+ eps x)) 2))) (sqrt (sin (/ (+ x (+ eps x)) 2)))))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * [misc]regimes: searching between 1.8991610810806756 and 1.7615784337867777 on (* -2 (* (sin (/ eps 2)) (* (sqrt (sin (/ (+ x (+ eps x)) 2))) (sqrt (sin (/ (+ x (+ eps x)) 2)))))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * [misc]regimes: searching between -1.80739816501117e-63 and -0.005974806317994075 on (* (sin (/ eps 2)) (* (sqrt (sin (/ (+ x (+ eps x)) 2))) (sqrt (sin (/ (+ x (+ eps x)) 2))))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * [misc]regimes: searching between 0.025613423689905185 and 0.008580953131683031 on (* (sin (/ eps 2)) (* (sqrt (sin (/ (+ x (+ eps x)) 2))) (sqrt (sin (/ (+ x (+ eps x)) 2))))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * [misc]regimes: searching between 0.9994307194871466 and 0.9990065724300392 on (* (sin (/ eps 2)) (* (sqrt (sin (/ (+ x (+ eps x)) 2))) (sqrt (sin (/ (+ x (+ eps x)) 2))))) * [misc]regimes: searching between -0.04868422337416631 and -0.05122684737981034 on (* -2 (* (sin (/ eps 2)) (log (exp (sin (/ (+ x (+ eps x)) 2)))))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * [misc]regimes: searching between 0.011949612635988148 and 2.7012095691637116e-10 on (* -2 (* (sin (/ eps 2)) (log (exp (sin (/ (+ x (+ eps x)) 2)))))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * [misc]regimes: searching between -1.3506047845818558e-10 and -0.005974806317994074 on (* (sin (/ eps 2)) (log (exp (sin (/ (+ x (+ eps x)) 2))))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * [misc]regimes: searching between 0.02561342368990517 and 0.024342111687083154 on (* (sin (/ eps 2)) (log (exp (sin (/ (+ x (+ eps x)) 2))))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * [misc]regimes: searching between -0.04868422337416631 and -0.05122684737981037 on (* -2 (* (sqrt (* (sin (/ eps 2)) (sin (/ (+ x (+ eps x)) 2)))) (sqrt (* (sin (/ eps 2)) (sin (/ (+ x (+ eps x)) 2)))))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * [misc]regimes: searching between 0.025613423689905185 and 0.024342111687083154 on (* (sqrt (* (sin (/ eps 2)) (sin (/ (+ x (+ eps x)) 2)))) (sqrt (* (sin (/ eps 2)) (sin (/ (+ x (+ eps x)) 2))))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * [misc]regimes: searching between 0.9994307194871467 and 0.9990065724300392 on (* (sqrt (* (sin (/ eps 2)) (sin (/ (+ x (+ eps x)) 2)))) (sqrt (* (sin (/ eps 2)) (sin (/ (+ x (+ eps x)) 2))))) * [misc]regimes: searching between 0.16004194353326626 and 0.15601958751093772 on (sqrt (* (sin (/ eps 2)) (sin (/ (+ x (+ eps x)) 2)))) * [misc]regimes: searching between 0.9997153192220006 and 0.9995031627914137 on (sqrt (* (sin (/ eps 2)) (sin (/ (+ x (+ eps x)) 2)))) * [misc]regimes: searching between -1.3506047845818558e-10 and -0.005974806317994074 on (* (sin (/ eps 2)) (sin (/ (+ x (+ eps x)) 2))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * [misc]regimes: searching between 0.025613423689905185 and 0.024342111687083154 on (* (sin (/ eps 2)) (sin (/ (+ x (+ eps x)) 2))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * [misc]regimes: searching between -0.0486842233741663 and -0.05122684737981032 on (* -2 (* (* (cbrt (sin (/ eps 2))) (cbrt (sin (/ eps 2)))) (* (cbrt (sin (/ eps 2))) (sin (/ (+ x (+ eps x)) 2))))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * [misc]regimes: searching between 0.011949612635988142 and 2.7012095691637105e-10 on (* -2 (* (* (cbrt (sin (/ eps 2))) (cbrt (sin (/ eps 2)))) (* (cbrt (sin (/ eps 2))) (sin (/ (+ x (+ eps x)) 2))))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * [misc]regimes: searching between -1.3506047845818553e-10 and -0.005974806317994071 on (* (* (cbrt (sin (/ eps 2))) (cbrt (sin (/ eps 2)))) (* (cbrt (sin (/ eps 2))) (sin (/ (+ x (+ eps x)) 2)))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * [misc]regimes: searching between 0.02561342368990516 and 0.02434211168708315 on (* (* (cbrt (sin (/ eps 2))) (cbrt (sin (/ eps 2)))) (* (cbrt (sin (/ eps 2))) (sin (/ (+ x (+ eps x)) 2)))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * [misc]regimes: searching between -0.0486842233741663 and -0.05122684737981032 on (* -2 (* (* (sin (/ eps 2)) (* (cbrt (sin (/ (+ x (+ eps x)) 2))) (cbrt (sin (/ (+ x (+ eps x)) 2))))) (cbrt (sin (/ (+ x (+ eps x)) 2))))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * [misc]regimes: searching between 0.011949612635988148 and 2.701209569163712e-10 on (* -2 (* (* (sin (/ eps 2)) (* (cbrt (sin (/ (+ x (+ eps x)) 2))) (cbrt (sin (/ (+ x (+ eps x)) 2))))) (cbrt (sin (/ (+ x (+ eps x)) 2))))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * [misc]regimes: searching between -1.350604784581856e-10 and -0.005974806317994074 on (* (* (sin (/ eps 2)) (* (cbrt (sin (/ (+ x (+ eps x)) 2))) (cbrt (sin (/ (+ x (+ eps x)) 2))))) (cbrt (sin (/ (+ x (+ eps x)) 2)))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * [misc]regimes: searching between 0.02561342368990516 and 0.02434211168708315 on (* (* (sin (/ eps 2)) (* (cbrt (sin (/ (+ x (+ eps x)) 2))) (cbrt (sin (/ (+ x (+ eps x)) 2))))) (cbrt (sin (/ (+ x (+ eps x)) 2)))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * [misc]regimes: searching between -0.0486842233741663 and -0.05122684737981037 on (* -2 (* (sin (/ eps 2)) (cbrt (pow (sin (/ (+ x (+ eps x)) 2)) 3)))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * [misc]regimes: searching between 0.011949612635988144 and 2.7012095691637116e-10 on (* -2 (* (sin (/ eps 2)) (cbrt (pow (sin (/ (+ x (+ eps x)) 2)) 3)))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * [misc]regimes: searching between -1.3506047845818558e-10 and -0.005974806317994072 on (* (sin (/ eps 2)) (cbrt (pow (sin (/ (+ x (+ eps x)) 2)) 3))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * [misc]regimes: searching between 0.025613423689905185 and 0.02434211168708315 on (* (sin (/ eps 2)) (cbrt (pow (sin (/ (+ x (+ eps x)) 2)) 3))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * [misc]regimes: searching between -0.04868422337416631 and -0.05122684737981037 on (* (log1p (expm1 (* -2 (sin (/ eps 2))))) (sin (/ (+ x (+ eps x)) 2))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * [misc]regimes: searching between 0.011949612635988148 and 2.7012095691637116e-10 on (* (log1p (expm1 (* -2 (sin (/ eps 2))))) (sin (/ (+ x (+ eps x)) 2))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * [misc]regimes: searching between -0.005522104170027742 and -0.012751053556111724 on (- (- (* (cos x) (cos eps)) (* (sin x) (sin eps))) (cos x)) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * [misc]regimes: searching between 0.0351573492072208 and 2.701209811384331e-10 on (- (- (* (cos x) (cos eps)) (* (sin x) (sin eps))) (cos x)) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * [misc]regimes: searching between -0.04868422337416618 and -0.05122684737981046 on (* -2 (log (exp (* (sin (/ eps 2)) (sin (/ (+ x (+ eps x)) 2)))))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * [misc]regimes: searching between 0.011949612635988231 and 2.7012103666782566e-10 on (* -2 (log (exp (* (sin (/ eps 2)) (sin (/ (+ x (+ eps x)) 2)))))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * [misc]regimes: searching between -1.3506051833391283e-10 and -0.0059748063179941155 on (log (exp (* (sin (/ eps 2)) (sin (/ (+ x (+ eps x)) 2))))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * [misc]regimes: searching between 0.02561342368990523 and 0.02434211168708309 on (log (exp (* (sin (/ eps 2)) (sin (/ (+ x (+ eps x)) 2))))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * [misc]regimes: searching between 0.9999999998649395 and 0.9940430073418948 on (exp (* (sin (/ eps 2)) (sin (/ (+ x (+ eps x)) 2)))) * [misc]regimes: searching between 1.0259442660556348 and 1.0246407995278517 on (exp (* (sin (/ eps 2)) (sin (/ (+ x (+ eps x)) 2)))) * [misc]regimes: searching between -0.005147251665385904 and -0.024496862882618965 on (* -2 (* (sin (/ eps 2)) (sin (/ (* (* (cbrt (+ x (+ eps x))) (cbrt (+ x (+ eps x)))) (cbrt (+ x (+ eps x)))) 2)))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * [misc]regimes: searching between 0.009623403895762337 and 8.69584523342911e-11 on (* -2 (* (sin (/ eps 2)) (sin (/ (* (* (cbrt (+ x (+ eps x))) (cbrt (+ x (+ eps x)))) (cbrt (+ x (+ eps x)))) 2)))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * [misc]regimes: searching between -4.347922616714555e-11 and -0.004811701947881168 on (* (sin (/ eps 2)) (sin (/ (* (* (cbrt (+ x (+ eps x))) (cbrt (+ x (+ eps x)))) (cbrt (+ x (+ eps x)))) 2))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * [misc]regimes: searching between 0.012248431441309483 and 0.002573625832692952 on (* (sin (/ eps 2)) (sin (/ (* (* (cbrt (+ x (+ eps x))) (cbrt (+ x (+ eps x)))) (cbrt (+ x (+ eps x)))) 2))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * [misc]regimes: searching between -0.017161906263366066 and -0.05122684737981037 on (* -2 (* (sqrt (sin (/ eps 2))) (* (sqrt (sin (/ eps 2))) (sin (/ (+ x (+ eps x)) 2))))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * [misc]regimes: searching between 0.03657910538887502 and 2.7012095691637116e-10 on (* -2 (* (sqrt (sin (/ eps 2))) (* (sqrt (sin (/ eps 2))) (sin (/ (+ x (+ eps x)) 2))))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * [misc]regimes: searching between 1.9447059871829617 and 1.902125727401607 on (* -2 (* (sqrt (sin (/ eps 2))) (* (sqrt (sin (/ eps 2))) (sin (/ (+ x (+ eps x)) 2))))) * [misc]regimes: searching between -1.3506047845818558e-10 and -0.01828955269443751 on (* (sqrt (sin (/ eps 2))) (* (sqrt (sin (/ eps 2))) (sin (/ (+ x (+ eps x)) 2)))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * [misc]regimes: searching between 0.025613423689905185 and 0.008580953131683033 on (* (sqrt (sin (/ eps 2))) (* (sqrt (sin (/ eps 2))) (sin (/ (+ x (+ eps x)) 2)))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * [misc]regimes: searching between 0.9994307194871466 and 0.9990065724300392 on (* (sqrt (sin (/ eps 2))) (* (sqrt (sin (/ eps 2))) (sin (/ (+ x (+ eps x)) 2)))) * [misc]regimes: searching between -0.048684223374166315 and -0.05122684737981034 on (* (* (* (cbrt (* -2 (sin (/ eps 2)))) (cbrt (* -2 (sin (/ eps 2))))) (cbrt (* -2 (sin (/ eps 2))))) (sin (/ (+ x (+ eps x)) 2))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * [misc]regimes: searching between 0.011949612635988148 and 2.7012095691637105e-10 on (* (* (* (cbrt (* -2 (sin (/ eps 2)))) (cbrt (* -2 (sin (/ eps 2))))) (cbrt (* -2 (sin (/ eps 2))))) (sin (/ (+ x (+ eps x)) 2))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 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 16 points with exact outputs * [misc]regimes: Found splitpoints: (#s(sp 0 (* -2 (* (sin (/ eps 2)) (log (exp (sin (/ (+ x (+ eps x)) 2)))))) -0.049319879375577316) #s(sp 1 (* -2 (* (sin (/ eps 2)) (log (exp (sin (/ (+ x (+ eps x)) 2)))))) 0.0001298009043808313) #s(sp 0 (* -2 (* (sin (/ eps 2)) (log (exp (sin (/ (+ x (+ eps x)) 2)))))) +nan.0)) , with alts (# #) * [enter]simplify: Simplifying (if (<= (* -2 (* (sin (/ eps 2)) (log (exp (sin (/ (+ x (+ eps x)) 2)))))) -0.049319879375577316) (- (- (* (cos x) (cos eps)) (* (sin x) (sin eps))) (cos x)) (if (<= (* -2 (* (sin (/ eps 2)) (log (exp (sin (/ (+ x (+ eps x)) 2)))))) 0.0001298009043808313) (* (log1p (expm1 (* -2 (sin (/ eps 2))))) (sin (/ (+ x (+ eps x)) 2))) (- (- (* (cos x) (cos eps)) (* (sin x) (sin eps))) (cos x)))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * [exit]simplify: Simplified to (if (<= (* -2 (* (log (exp (sin (/ (+ (+ eps x) x) 2)))) (sin (/ eps 2)))) -0.049319879375577316) (- (- (* (cos x) (cos eps)) (* (sin x) (sin eps))) (cos x)) (if (<= (* -2 (* (log (exp (sin (/ (+ (+ eps x) x) 2)))) (sin (/ eps 2)))) 0.0001298009043808313) (* (sin (/ (+ (+ eps x) x) 2)) (log1p (expm1 (* -2 (sin (/ eps 2)))))) (- (- (* (cos x) (cos eps)) (* (sin x) (sin 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