* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Setting MPFR precision to 1856 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 4 of 256 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 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts for 256 points * * * * [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 (/ (- 1 (cos x)) (* x x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (/ (- 1 (cos x)) (* x 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 (/ (- 1 (cos x)) (* x x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (- 1 (cos x)) (* x x)) in x * [misc]taylor: Taking taylor expansion of (- 1 (cos 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 (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 (* x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]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 -1/2 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (- 1 (cos x)) (* x x)) in x * [misc]taylor: Taking taylor expansion of (- 1 (cos 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 (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 (* x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]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 -1/2 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 0 into 0 * [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 0 into 0 * [misc]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 into -1/24 * [misc]backup-simplify: Simplify -1/24 into -1/24 * [misc]backup-simplify: Simplify 0 into 0 * [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 -1/720 into -1/720 * [misc]backup-simplify: Simplify 1/720 into 1/720 * [misc]backup-simplify: Simplify 1/720 into 1/720 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1/720 into 1/720 * [misc]backup-simplify: Simplify 1/720 into 1/720 * [misc]backup-simplify: Simplify (+ 1/2 (+ (* 1/720 (pow x 4)) (* -1/24 (pow x 2)))) into (- (+ 1/2 (* 1/720 (pow x 4))) (* 1/24 (pow x 2))) * [misc]approximate: Taking taylor expansion of (/ (- 1 (cos (/ 1 x))) (* (/ 1 x) (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (- 1 (cos (/ 1 x))) (* (/ 1 x) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (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 (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (+ 1 (cos (/ 1 x))) into (+ (cos (/ 1 x)) 1) * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) * [misc]taylor: Taking taylor expansion of (/ (- 1 (cos (/ 1 x))) (* (/ 1 x) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (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 (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (+ 1 (cos (/ 1 x))) into (+ (cos (/ 1 x)) 1) * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) * [misc]backup-simplify: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (+ (cos (/ 1 (/ 1 x))) 1) (pow (/ 1 x) 2)) into (/ (+ 1 (cos x)) (pow x 2)) * [misc]approximate: Taking taylor expansion of (/ (- 1 (cos (/ 1 (- x)))) (* (/ 1 (- x)) (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (- 1 (cos (/ 1 (- x)))) (* (/ 1 (- x)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (cos (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (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 (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (+ 1 (cos (/ -1 x))) into (+ (cos (/ -1 x)) 1) * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) * [misc]taylor: Taking taylor expansion of (/ (- 1 (cos (/ 1 (- x)))) (* (/ 1 (- x)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (cos (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (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 (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (+ 1 (cos (/ -1 x))) into (+ (cos (/ -1 x)) 1) * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) * [misc]backup-simplify: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 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 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 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 -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 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 -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (+ (cos (/ -1 (/ 1 (- x)))) 1) (pow (/ 1 (- x)) 2)) into (/ (+ 1 (cos x)) (pow x 2)) * * * * [misc]progress: [ 2 / 2 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (- 1 (cos x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- 1 (cos 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 (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 (- 1 (cos 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 (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 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 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1/720 into -1/720 * [misc]backup-simplify: Simplify 1/720 into 1/720 * [misc]backup-simplify: Simplify 1/720 into 1/720 * [misc]backup-simplify: Simplify 1/720 into 1/720 * [misc]backup-simplify: Simplify (+ (* 1/720 (pow x 6)) (+ (* -1/24 (pow x 4)) (* 1/2 (pow x 2)))) into (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) * [misc]approximate: Taking taylor expansion of (- 1 (cos (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (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 (- 1 (cos (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (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 (+ 1 (cos (/ 1 x))) into (+ (cos (/ 1 x)) 1) * [misc]backup-simplify: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 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 (+ (cos (/ 1 (/ 1 x))) 1) into (+ 1 (cos x)) * [misc]approximate: Taking taylor expansion of (- 1 (cos (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- 1 (cos (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (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 (- 1 (cos (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (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 (+ 1 (cos (/ -1 x))) into (+ (cos (/ -1 x)) 1) * [misc]backup-simplify: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 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 (+ (cos (/ -1 (/ 1 (- x)))) 1) into (+ 1 (cos x)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (- 1 (cos x)) (* x x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (expm1 (/ (- 1 (cos x)) (* x x))) * [exit]simplify: Simplified to (expm1 (/ (- 1 (cos x)) (* x x))) * * * * [misc]progress: [ 2 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (- 1 (cos x)) (* x x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (log1p (/ (- 1 (cos x)) (* x x))) * [exit]simplify: Simplified to (log1p (/ (- 1 (cos x)) (* x x))) * * * * [misc]progress: [ 3 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- 1 (cos x))) (log (* x x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (- (log (- 1 (cos x))) (log (* x x))) * [exit]simplify: Simplified to (- (log (- 1 (cos x))) (log (* x x))) * * * * [misc]progress: [ 5 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (- 1 (cos x)) (* x x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (log (/ (- 1 (cos x)) (* x x))) * [exit]simplify: Simplified to (log (/ (- 1 (cos x)) (* x x))) * * * * [misc]progress: [ 6 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (- 1 (cos x)) (* x x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (exp (/ (- 1 (cos x)) (* x x))) * [exit]simplify: Simplified to (exp (/ (- 1 (cos x)) (* x x))) * * * * [misc]progress: [ 7 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- 1 (cos x)) (- 1 (cos x))) (- 1 (cos x))) (* (* (* x x) (* x x)) (* x x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (385 enodes) * [exit]simplify: Simplified to (pow (/ (- 1 (cos x)) (* x x)) 3) * [exit]simplify: Simplified to (pow (/ (- 1 (cos x)) (* x x)) 3) * * * * [misc]progress: [ 8 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- 1 (cos x)) (* x x))) (cbrt (/ (- 1 (cos x)) (* x x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- 1 (cos x)) (* x x))) (cbrt (/ (- 1 (cos x)) (* x x)))) * [exit]simplify: Simplified to (* (cbrt (/ (- 1 (cos x)) (* x x))) (cbrt (/ (- 1 (cos x)) (* x x)))) * [enter]simplify: Simplifying (cbrt (/ (- 1 (cos x)) (* x x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (cbrt (/ (- 1 (cos x)) (* x x))) * [exit]simplify: Simplified to (cbrt (/ (- 1 (cos x)) (* x x))) * * * * [misc]progress: [ 9 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x))) (/ (- 1 (cos x)) (* x x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (330 enodes) * [exit]simplify: Simplified to (pow (/ (- 1 (cos x)) (* x x)) 3) * [exit]simplify: Simplified to (pow (/ (- 1 (cos x)) (* x x)) 3) * * * * [misc]progress: [ 10 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- 1 (cos x)) (* x x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (sqrt (/ (- 1 (cos x)) (* x x))) * [exit]simplify: Simplified to (sqrt (/ (- 1 (cos x)) (* x x))) * [enter]simplify: Simplifying (sqrt (/ (- 1 (cos x)) (* x x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (sqrt (/ (- 1 (cos x)) (* x x))) * [exit]simplify: Simplified to (sqrt (/ (- 1 (cos x)) (* x x))) * * * * [misc]progress: [ 11 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- 1 (cos x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (- (cos x) 1) * [exit]simplify: Simplified to (- (cos x) 1) * [enter]simplify: Simplifying (- (* x x)) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (* (- x) x) * [exit]simplify: Simplified to (* (- x) x) * * * * [misc]progress: [ 12 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* x x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ (/ 1 x) x) * [exit]simplify: Simplified to (/ (/ 1 x) x) * [enter]simplify: Simplifying (/ (cos x) (* x x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (/ (cos x) (* x x)) * [exit]simplify: Simplified to (/ (cos x) (* x x)) * * * * [misc]progress: [ 13 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 (cos x))) (cbrt (- 1 (cos x)))) 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 (17 enodes) * [exit]simplify: Simplified to (* (cbrt (- 1 (cos x))) (/ (cbrt (- 1 (cos x))) x)) * [exit]simplify: Simplified to (* (cbrt (- 1 (cos x))) (/ (cbrt (- 1 (cos x))) x)) * [enter]simplify: Simplifying (/ (cbrt (- 1 (cos x))) x) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (- 1 (cos x))) x) * [exit]simplify: Simplified to (/ (cbrt (- 1 (cos x))) x) * * * * [misc]progress: [ 14 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 (cos x))) x) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (cos x))) x) * [exit]simplify: Simplified to (/ (sqrt (- 1 (cos x))) x) * [enter]simplify: Simplifying (/ (sqrt (- 1 (cos x))) x) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (cos x))) x) * [exit]simplify: Simplified to (/ (sqrt (- 1 (cos x))) x) * * * * [misc]progress: [ 15 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 x) * [exit]simplify: Simplified to (/ 1 x) * [enter]simplify: Simplifying (/ (- 1 (cos x)) x) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * [exit]simplify: Simplified to (/ (- 1 (cos x)) x) * [exit]simplify: Simplified to (/ (- 1 (cos x)) x) * * * * [misc]progress: [ 16 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* x x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ (/ 1 x) x) * [exit]simplify: Simplified to (/ (/ 1 x) x) * * * * [misc]progress: [ 18 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* x x) (- 1 (cos x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (/ (* x x) (- 1 (cos x))) * [exit]simplify: Simplified to (/ (* x x) (- 1 (cos x))) * * * * [misc]progress: [ 19 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 (cos x)) x) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * [exit]simplify: Simplified to (/ (- 1 (cos x)) x) * [exit]simplify: Simplified to (/ (- 1 (cos x)) x) * * * * [misc]progress: [ 20 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* x x) (cbrt (- 1 (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 (17 enodes) * [exit]simplify: Simplified to (/ (* x x) (cbrt (- 1 (cos x)))) * [exit]simplify: Simplified to (/ (* x x) (cbrt (- 1 (cos x)))) * * * * [misc]progress: [ 21 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* x x) (sqrt (- 1 (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 (17 enodes) * [exit]simplify: Simplified to (/ (* x x) (sqrt (- 1 (cos x)))) * [exit]simplify: Simplified to (/ (* x x) (sqrt (- 1 (cos x)))) * * * * [misc]progress: [ 22 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* x x) (- 1 (cos x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (/ (* x x) (- 1 (cos x))) * [exit]simplify: Simplified to (/ (* x x) (- 1 (cos x))) * * * * [misc]progress: [ 23 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* x x) (+ (* 1 1) (+ (* (cos x) (cos x)) (* 1 (cos x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (263 enodes) * * [misc]simplify: iters left: 2 (451 enodes) * [exit]simplify: Simplified to (fma (* x x) (fma (cos x) (cos x) (cos x)) (* x x)) * [exit]simplify: Simplified to (fma (* x x) (fma (cos x) (cos x) (cos x)) (* x x)) * * * * [misc]progress: [ 24 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* x x) (+ 1 (cos x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * [exit]simplify: Simplified to (fma (cos x) (* x x) (* x x)) * [exit]simplify: Simplified to (fma (cos x) (* x x) (* x x)) * * * * [misc]progress: [ 25 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (- 1 (cos x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (expm1 (- 1 (cos x))) * [exit]simplify: Simplified to (expm1 (- 1 (cos x))) * * * * [misc]progress: [ 26 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (- 1 (cos x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (log1p (- 1 (cos x))) * [exit]simplify: Simplified to (log1p (- 1 (cos x))) * * * * [misc]progress: [ 27 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- 1 (cos x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (log (- 1 (cos x))) * [exit]simplify: Simplified to (log (- 1 (cos x))) * * * * [misc]progress: [ 29 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- 1 (cos x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (/ E (exp (cos x))) * [exit]simplify: Simplified to (/ E (exp (cos x))) * * * * [misc]progress: [ 30 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- 1 (cos x))) (cbrt (- 1 (cos x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (- 1 (cos x))) (cbrt (- 1 (cos x)))) * [exit]simplify: Simplified to (* (cbrt (- 1 (cos x))) (cbrt (- 1 (cos x)))) * [enter]simplify: Simplifying (cbrt (- 1 (cos x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (cbrt (- 1 (cos x))) * [exit]simplify: Simplified to (cbrt (- 1 (cos x))) * * * * [misc]progress: [ 31 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- 1 (cos x)) (- 1 (cos x))) (- 1 (cos x))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (157 enodes) * [exit]simplify: Simplified to (pow (- 1 (cos x)) 3) * [exit]simplify: Simplified to (pow (- 1 (cos x)) 3) * * * * [misc]progress: [ 32 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 (cos x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (cos x))) * [exit]simplify: Simplified to (sqrt (- 1 (cos x))) * [enter]simplify: Simplifying (sqrt (- 1 (cos x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (cos x))) * [exit]simplify: Simplified to (sqrt (- 1 (cos x))) * * * * [misc]progress: [ 33 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow 1 3) (pow (cos x) 3)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (fma (- (cos x)) (* (cos x) (cos x)) 1) * [exit]simplify: Simplified to (fma (- (cos x)) (* (cos x) (cos x)) 1) * [enter]simplify: Simplifying (+ (* 1 1) (+ (* (cos x) (cos x)) (* 1 (cos x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (+ (cos x) (fma (cos x) (cos x) 1)) * [exit]simplify: Simplified to (+ (cos x) (fma (cos x) (cos x) 1)) * * * * [misc]progress: [ 34 / 43 ] 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: [ 35 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1 1) (* (cos x) (cos x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (* (sin x) (sin x)) * [exit]simplify: Simplified to (* (sin x) (sin x)) * [enter]simplify: Simplifying (+ 1 (cos x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (+ 1 (cos x)) * [exit]simplify: Simplified to (+ 1 (cos x)) * * * * [misc]progress: [ 37 / 43 ] 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: [ 38 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ 1/2 (* 1/720 (pow x 4))) (* 1/24 (pow x 2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (108 enodes) * [exit]simplify: Simplified to (- (fma (pow x 4) 1/720 1/2) (* x (* 1/24 x))) * * * * [misc]progress: [ 39 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ 1 (cos x)) (pow x 2)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (+ 1 (cos x)) (* x x)) * * * * [misc]progress: [ 40 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ 1 (cos x)) (pow x 2)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (+ 1 (cos x)) (* x x)) * * * * [misc]progress: [ 41 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (* x x)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (191 enodes) * * [misc]simplify: iters left: 1 (259 enodes) * [exit]simplify: Simplified to (/ (fma (pow x 6) 1/720 (- (* (* x x) 1/2) (* (pow x 4) 1/24))) (* x x)) * * * * [misc]progress: [ 42 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ 1 (cos x)) (* x x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (/ (+ 1 (cos x)) (* x x)) * * * * [misc]progress: [ 43 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ 1 (cos x)) (* x x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (/ (+ 1 (cos x)) (* x 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) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)) in x * [misc]taylor: Taking taylor expansion of (/ (* (sin x) (sin x)) (+ 1 (cos x))) in x * [misc]taylor: Taking taylor expansion of (* (sin x) (sin x)) in x * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 (cos 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 (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 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 into 1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)) in x * [misc]taylor: Taking taylor expansion of (/ (* (sin x) (sin x)) (+ 1 (cos x))) in x * [misc]taylor: Taking taylor expansion of (* (sin x) (sin x)) in x * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 (cos 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 (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 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 into 1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify -1/24 into -1/24 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1/24 into -1/24 * [misc]backup-simplify: Simplify -1/24 into -1/24 * [misc]backup-simplify: Simplify 1/120 into 1/120 * [misc]backup-simplify: Simplify 1/120 into 1/120 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 2/45 into 2/45 * [misc]backup-simplify: Simplify 1/24 into 1/24 * [misc]backup-simplify: Simplify 1/24 into 1/24 * [misc]backup-simplify: Simplify 1/720 into 1/720 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1/720 into 1/720 * [misc]backup-simplify: Simplify 1/720 into 1/720 * [misc]backup-simplify: Simplify (+ 1/2 (+ (* 1/720 (pow x 4)) (* -1/24 (pow x 2)))) into (- (+ 1/2 (* 1/720 (pow x 4))) (* 1/24 (pow x 2))) * [misc]approximate: Taking taylor expansion of (/ (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) (* (/ 1 x) (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) (* (/ 1 x) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 x)) (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (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 (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) * [misc]backup-simplify: Simplify (+ 1 (cos (/ 1 x))) into (+ (cos (/ 1 x)) 1) * [misc]backup-simplify: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) * [misc]taylor: Taking taylor expansion of (/ (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) (* (/ 1 x) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 x)) (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (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 (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) * [misc]backup-simplify: Simplify (+ 1 (cos (/ 1 x))) into (+ (cos (/ 1 x)) 1) * [misc]backup-simplify: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (+ (cos (/ 1 x)) 1)) (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (+ (cos (/ 1 x)) 1)) (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (+ (cos (/ 1 x)) 1)) (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (+ (cos (/ 1 x)) 1)) (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (+ (cos (/ 1 x)) 1)) (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (+ (cos (/ 1 x)) 1)) (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ (pow (sin (/ 1 (/ 1 x))) 2) (+ (cos (/ 1 (/ 1 x))) 1)) (pow (/ 1 x) 2)) into (/ (pow (sin x) 2) (* (+ 1 (cos x)) (pow x 2))) * [misc]approximate: Taking taylor expansion of (/ (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) (* (/ 1 (- x)) (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) (* (/ 1 (- x)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (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 (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) * [misc]backup-simplify: Simplify (+ 1 (cos (/ -1 x))) into (+ (cos (/ -1 x)) 1) * [misc]backup-simplify: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) * [misc]taylor: Taking taylor expansion of (/ (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) (* (/ 1 (- x)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (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 (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) * [misc]backup-simplify: Simplify (+ 1 (cos (/ -1 x))) into (+ (cos (/ -1 x)) 1) * [misc]backup-simplify: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (+ (cos (/ -1 x)) 1)) (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 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 (+ (cos (/ -1 x)) 1)) (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (+ (cos (/ -1 x)) 1)) (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (+ (cos (/ -1 x)) 1)) (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (+ (cos (/ -1 x)) 1)) (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (+ (cos (/ -1 x)) 1)) (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (+ (cos (/ -1 (/ 1 (- x)))) 1)) (pow (/ 1 (- x)) 2)) into (/ (pow (sin x) 2) (* (+ 1 (cos x)) (pow x 2))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (+ 1 (cos x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ 1 (cos 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 (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 (+ 1 (cos 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 (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 2 into 2 * [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 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 -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 1/24 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 (+ 2 (+ (* 1/24 (pow x 4)) (* -1/2 (pow x 2)))) into (- (+ 2 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))) * [misc]approximate: Taking taylor expansion of (+ 1 (cos (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (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 (+ 1 (cos (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (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 (+ 1 (cos (/ 1 x))) into (+ (cos (/ 1 x)) 1) * [misc]backup-simplify: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 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 (+ (cos (/ 1 (/ 1 x))) 1) into (+ 1 (cos x)) * [misc]approximate: Taking taylor expansion of (+ 1 (cos (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (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 (+ 1 (cos (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (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 (+ 1 (cos (/ -1 x))) into (+ (cos (/ -1 x)) 1) * [misc]backup-simplify: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 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 (+ (cos (/ -1 (/ 1 (- x)))) 1) into (+ 1 (cos x)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (* (sin x) (sin x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (sin x) (sin x)) in x * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sin x) (sin x)) in x * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (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 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 -1/6 into -1/6 * [misc]backup-simplify: Simplify -1/6 into -1/6 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]backup-simplify: Simplify 1/120 into 1/120 * [misc]backup-simplify: Simplify 1/120 into 1/120 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 2/45 into 2/45 * [misc]backup-simplify: Simplify 2/45 into 2/45 * [misc]backup-simplify: Simplify (+ (* 2/45 (pow x 6)) (+ (* -1/3 (pow x 4)) (pow x 2))) into (- (+ (pow x 2) (* 2/45 (pow x 6))) (* 1/3 (pow x 4))) * [misc]approximate: Taking taylor expansion of (* (sin (/ 1 x)) (sin (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 x)) (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 x)) (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) * [misc]backup-simplify: Simplify (pow (sin (/ 1 x)) 2) into (pow (sin (/ 1 x)) 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 (pow (sin (/ 1 (/ 1 x))) 2) into (pow (sin x) 2) * [misc]approximate: Taking taylor expansion of (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) * [misc]backup-simplify: Simplify (pow (sin (/ -1 x)) 2) into (pow (sin (/ -1 x)) 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 (pow (sin (/ -1 (/ 1 (- x)))) 2) into (pow (sin x) 2) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (* (sin x) (sin x)) (+ 1 (cos x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (sin x) (sin x)) (+ 1 (cos x))) in x * [misc]taylor: Taking taylor expansion of (* (sin x) (sin x)) in x * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 (cos 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 (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 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 into 1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (* (sin x) (sin x)) (+ 1 (cos x))) in x * [misc]taylor: Taking taylor expansion of (* (sin x) (sin x)) in x * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 (cos 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 (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 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 into 1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify -1/24 into -1/24 * [misc]backup-simplify: Simplify -1/24 into -1/24 * [misc]backup-simplify: Simplify 1/120 into 1/120 * [misc]backup-simplify: Simplify 1/120 into 1/120 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 2/45 into 2/45 * [misc]backup-simplify: Simplify 1/24 into 1/24 * [misc]backup-simplify: Simplify 1/24 into 1/24 * [misc]backup-simplify: Simplify 1/720 into 1/720 * [misc]backup-simplify: Simplify 1/720 into 1/720 * [misc]backup-simplify: Simplify (+ (* 1/720 (pow x 6)) (+ (* -1/24 (pow x 4)) (* 1/2 (pow x 2)))) into (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) * [misc]approximate: Taking taylor expansion of (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 x)) (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (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 (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) * [misc]backup-simplify: Simplify (+ 1 (cos (/ 1 x))) into (+ (cos (/ 1 x)) 1) * [misc]backup-simplify: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) * [misc]taylor: Taking taylor expansion of (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 x)) (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (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 (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) * [misc]backup-simplify: Simplify (+ 1 (cos (/ 1 x))) into (+ (cos (/ 1 x)) 1) * [misc]backup-simplify: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (+ (cos (/ 1 x)) 1)) (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (+ (cos (/ 1 x)) 1)) (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (+ (cos (/ 1 x)) 1)) (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (+ (cos (/ 1 x)) 1)) (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (+ (cos (/ 1 x)) 1)) (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (+ (cos (/ 1 x)) 1)) (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow (sin (/ 1 (/ 1 x))) 2) (+ (cos (/ 1 (/ 1 x))) 1)) into (/ (pow (sin x) 2) (+ 1 (cos x))) * [misc]approximate: Taking taylor expansion of (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (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 (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) * [misc]backup-simplify: Simplify (+ 1 (cos (/ -1 x))) into (+ (cos (/ -1 x)) 1) * [misc]backup-simplify: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) * [misc]taylor: Taking taylor expansion of (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (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 (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) * [misc]backup-simplify: Simplify (+ 1 (cos (/ -1 x))) into (+ (cos (/ -1 x)) 1) * [misc]backup-simplify: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (+ (cos (/ -1 x)) 1)) (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (+ (cos (/ -1 x)) 1)) (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (+ (cos (/ -1 x)) 1)) (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (+ (cos (/ -1 x)) 1)) (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (+ (cos (/ -1 x)) 1)) (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (+ (cos (/ -1 x)) 1)) (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (+ (cos (/ -1 (/ 1 (- x)))) 1)) into (/ (pow (sin x) 2) (+ 1 (cos x))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (219 enodes) * [exit]simplify: Simplified to (expm1 (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x)))) * [exit]simplify: Simplified to (expm1 (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x)))) * * * * [misc]progress: [ 2 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (219 enodes) * [exit]simplify: Simplified to (log1p (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x)))) * [exit]simplify: Simplified to (log1p (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x)))) * * * * [misc]progress: [ 3 / 114 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ (log (sin x)) (log (sin x))) (log (+ 1 (cos x)))) (log (* x x))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (244 enodes) * [exit]simplify: Simplified to (+ (- (log (sin x)) (log1p (cos x))) (- (log (sin x)) (+ (log x) (log x)))) * [exit]simplify: Simplified to (+ (- (log (sin x)) (log1p (cos x))) (- (log (sin x)) (+ (log x) (log x)))) * * * * [misc]progress: [ 5 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (* (sin x) (sin x))) (log (+ 1 (cos x)))) (log (* x x))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (216 enodes) * * [misc]simplify: iters left: 1 (443 enodes) * [exit]simplify: Simplified to (- (- (log (sin x)) (+ (log x) (log x))) (- (log1p (cos x)) (log (sin x)))) * [exit]simplify: Simplified to (- (- (log (sin x)) (+ (log x) (log x))) (- (log1p (cos x)) (log (sin x)))) * * * * [misc]progress: [ 6 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (log (* x x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (189 enodes) * * [misc]simplify: iters left: 1 (416 enodes) * [exit]simplify: Simplified to (- (- (log (sin x)) (+ (log x) (log x))) (- (log1p (cos x)) (log (sin x)))) * [exit]simplify: Simplified to (- (- (log (sin x)) (+ (log x) (log x))) (- (log1p (cos x)) (log (sin x)))) * * * * [misc]progress: [ 7 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (158 enodes) * * [misc]simplify: iters left: 2 (375 enodes) * [exit]simplify: Simplified to (log (/ (* (sin x) (sin x)) (fma (cos x) (* x x) (* x x)))) * [exit]simplify: Simplified to (log (/ (* (sin x) (sin x)) (fma (cos x) (* x x) (* x x)))) * * * * [misc]progress: [ 8 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (228 enodes) * [exit]simplify: Simplified to (exp (/ (* (sin x) (sin x)) (fma (cos x) (* x x) (* x x)))) * [exit]simplify: Simplified to (exp (/ (* (sin x) (sin x)) (fma (cos x) (* x x) (* x x)))) * * * * [misc]progress: [ 9 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (* (* x x) (* x x)) (* x x))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (217 enodes) * [exit]simplify: Simplified to (* (/ (* (tan (/ x 2)) (* (sin x) (sin x))) (* (* x x) (* x x))) (/ (* (tan (/ x 2)) (* (sin x) (sin x))) (* (* x x) (+ 1 (cos x))))) * [exit]simplify: Simplified to (* (/ (* (tan (/ x 2)) (* (sin x) (sin x))) (* (* x x) (* x x))) (/ (* (tan (/ x 2)) (* (sin x) (sin x))) (* (* x x) (+ 1 (cos x))))) * * * * [misc]progress: [ 10 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (* (* x x) (* x x)) (* x x))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (219 enodes) * [exit]simplify: Simplified to (/ (* (* (tan (/ x 2)) (sin x)) (* (tan (/ x 2)) (sin x))) (/ (pow (* x x) 3) (* (tan (/ x 2)) (sin x)))) * [exit]simplify: Simplified to (/ (* (* (tan (/ x 2)) (sin x)) (* (tan (/ x 2)) (sin x))) (/ (pow (* x x) 3) (* (tan (/ x 2)) (sin x)))) * * * * [misc]progress: [ 11 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (* (* (* x x) (* x x)) (* x x))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * [exit]simplify: Simplified to (pow (/ (tan (/ x 2)) (/ (* x x) (sin x))) 3) * [exit]simplify: Simplified to (pow (/ (tan (/ x 2)) (/ (* x x) (sin x))) 3) * * * * [misc]progress: [ 12 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (cbrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (225 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x)))) (cbrt (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x))))) * [exit]simplify: Simplified to (* (cbrt (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x)))) (cbrt (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x))))) * [enter]simplify: Simplifying (cbrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (219 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x)))) * [exit]simplify: Simplified to (cbrt (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x)))) * * * * [misc]progress: [ 13 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * [exit]simplify: Simplified to (pow (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x))) 3) * [exit]simplify: Simplified to (pow (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x))) 3) * * * * [misc]progress: [ 14 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (219 enodes) * [exit]simplify: Simplified to (sqrt (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x)))) * [exit]simplify: Simplified to (sqrt (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x)))) * [enter]simplify: Simplifying (sqrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (219 enodes) * [exit]simplify: Simplified to (sqrt (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x)))) * [exit]simplify: Simplified to (sqrt (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x)))) * * * * [misc]progress: [ 15 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (* (sin x) (sin x)) (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (* (- (sin x)) (tan (/ x 2))) * [exit]simplify: Simplified to (* (- (sin x)) (tan (/ x 2))) * [enter]simplify: Simplifying (- (* x x)) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (* (- x) x) * [exit]simplify: Simplified to (* (- x) x) * * * * [misc]progress: [ 16 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1/2 (+ 1 (cos x))) (* x x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (226 enodes) * [exit]simplify: Simplified to (/ (/ 1/2 x) (fma (cos x) x x)) * [exit]simplify: Simplified to (/ (/ 1/2 x) (fma (cos x) x x)) * [enter]simplify: Simplifying (/ (/ (* 1/2 (cos (* 2 x))) (+ 1 (cos x))) (* x x)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (315 enodes) * [exit]simplify: Simplified to (* (/ 1/2 (fma x (cos x) x)) (/ (cos (* x 2)) x)) * [exit]simplify: Simplified to (* (/ 1/2 (fma x (cos x) x)) (/ (cos (* x 2)) x)) * * * * [misc]progress: [ 17 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) x) * * [misc]simplify: iters left: 6 (10 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 (* (cbrt (* (tan (/ x 2)) (sin x))) (/ (cbrt (* (tan (/ x 2)) (sin x))) x)) * [exit]simplify: Simplified to (* (cbrt (* (tan (/ x 2)) (sin x))) (/ (cbrt (* (tan (/ x 2)) (sin x))) x)) * [enter]simplify: Simplifying (/ (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (tan (/ x 2)) (sin x))) x) * [exit]simplify: Simplified to (/ (cbrt (* (tan (/ x 2)) (sin x))) x) * * * * [misc]progress: [ 18 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (tan (/ x 2)) (sin x))) x) * [exit]simplify: Simplified to (/ (sqrt (* (tan (/ x 2)) (sin x))) x) * [enter]simplify: Simplifying (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (tan (/ x 2)) (sin x))) x) * [exit]simplify: Simplified to (/ (sqrt (* (tan (/ x 2)) (sin x))) x) * * * * [misc]progress: [ 19 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sin x) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))) x) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sin x) x) (cbrt (+ (cos x) 1))) (cbrt (+ (cos x) 1))) * [exit]simplify: Simplified to (/ (/ (/ (sin x) x) (cbrt (+ (cos x) 1))) (cbrt (+ (cos x) 1))) * [enter]simplify: Simplifying (/ (/ (sin x) (cbrt (+ 1 (cos x)))) x) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (sin x) x) (cbrt (+ (cos x) 1))) * [exit]simplify: Simplified to (/ (/ (sin x) x) (cbrt (+ (cos x) 1))) * * * * [misc]progress: [ 20 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (sin x) x) (sqrt (+ (cos x) 1))) * [exit]simplify: Simplified to (/ (/ (sin x) x) (sqrt (+ (cos x) 1))) * [enter]simplify: Simplifying (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (sin x) x) (sqrt (+ (cos x) 1))) * [exit]simplify: Simplified to (/ (/ (sin x) x) (sqrt (+ (cos x) 1))) * * * * [misc]progress: [ 21 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sin x) 1) x) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (sin x) x) * [exit]simplify: Simplified to (/ (sin x) x) * [enter]simplify: Simplifying (/ (/ (sin x) (+ 1 (cos x))) x) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (/ (tan (/ x 2)) x) * [exit]simplify: Simplified to (/ (tan (/ x 2)) x) * * * * [misc]progress: [ 22 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 x) * [exit]simplify: Simplified to (/ 1 x) * [enter]simplify: Simplifying (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) x) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (* (sin x) (sin x)) (fma (cos x) x x)) * [exit]simplify: Simplified to (/ (* (sin x) (sin x)) (fma (cos x) x x)) * * * * [misc]progress: [ 23 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (sin x) (sin x)) x) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (* (/ (sin x) x) (sin x)) * [exit]simplify: Simplified to (* (/ (sin x) x) (sin x)) * [enter]simplify: Simplifying (/ (/ 1 (+ 1 (cos x))) x) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (/ 1 (fma (cos x) x x)) * [exit]simplify: Simplified to (/ 1 (fma (cos x) x x)) * * * * [misc]progress: [ 24 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (sin x) (sin x)) (+ (pow 1 3) (pow (cos x) 3))) x) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (/ (* (/ (sin x) x) (sin x)) (fma (cos x) (* (cos x) (cos x)) 1)) * [exit]simplify: Simplified to (/ (* (/ (sin x) x) (sin x)) (fma (cos x) (* (cos x) (cos x)) 1)) * [enter]simplify: Simplifying (/ (+ (* 1 1) (- (* (cos x) (cos x)) (* 1 (cos x)))) x) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (157 enodes) * * [misc]simplify: iters left: 1 (203 enodes) * [exit]simplify: Simplified to (/ (fma (cos x) (cos x) (- 1 (cos x))) x) * [exit]simplify: Simplified to (/ (fma (cos x) (cos x) (- 1 (cos x))) x) * * * * [misc]progress: [ 25 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (sin x) (sin x)) (- (* 1 1) (* (cos x) (cos x)))) x) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (179 enodes) * * [misc]simplify: iters left: 1 (415 enodes) * [exit]simplify: Simplified to (/ 1 x) * [exit]simplify: Simplified to (/ 1 x) * [enter]simplify: Simplifying (/ (- 1 (cos x)) x) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * [exit]simplify: Simplified to (/ (- 1 (cos x)) x) * [exit]simplify: Simplified to (/ (- 1 (cos x)) x) * * * * [misc]progress: [ 26 / 114 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* x x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ (/ 1 x) x) * [exit]simplify: Simplified to (/ (/ 1 x) x) * * * * [misc]progress: [ 28 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* x x) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (318 enodes) * [exit]simplify: Simplified to (/ (fma (cos x) (* x x) (* x x)) (* (sin x) (sin x))) * [exit]simplify: Simplified to (/ (fma (cos x) (* x x) (* x x)) (* (sin x) (sin x))) * * * * [misc]progress: [ 29 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) x) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (* (sin x) (sin x)) (fma (cos x) x x)) * [exit]simplify: Simplified to (/ (* (sin x) (sin x)) (fma (cos x) x x)) * * * * [misc]progress: [ 30 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* x x) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) * * [misc]simplify: iters left: 6 (10 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 (/ (* x x) (cbrt (* (tan (/ x 2)) (sin x)))) * [exit]simplify: Simplified to (/ (* x x) (cbrt (* (tan (/ x 2)) (sin x)))) * * * * [misc]progress: [ 31 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* x x) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) * * [misc]simplify: iters left: 6 (10 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 (/ (* x x) (sqrt (* (tan (/ x 2)) (sin x)))) * [exit]simplify: Simplified to (/ (* x x) (sqrt (* (tan (/ x 2)) (sin x)))) * * * * [misc]progress: [ 32 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* x x) (/ (sin x) (cbrt (+ 1 (cos x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ 1 (cos x))) (/ (sin x) (* x x))) * [exit]simplify: Simplified to (/ (cbrt (+ 1 (cos x))) (/ (sin x) (* x x))) * * * * [misc]progress: [ 33 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* x x) (/ (sin x) (sqrt (+ 1 (cos x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 (cos x))) (/ (sin x) (* x x))) * [exit]simplify: Simplified to (/ (sqrt (+ 1 (cos x))) (/ (sin x) (* x x))) * * * * [misc]progress: [ 34 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* x x) (/ (sin x) (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (495 enodes) * [exit]simplify: Simplified to (/ (* x x) (tan (/ x 2))) * [exit]simplify: Simplified to (/ (* x x) (tan (/ x 2))) * * * * [misc]progress: [ 35 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* x x) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (318 enodes) * [exit]simplify: Simplified to (/ (fma (cos x) (* x x) (* x x)) (* (sin x) (sin x))) * [exit]simplify: Simplified to (/ (fma (cos x) (* x x) (* x x)) (* (sin x) (sin x))) * * * * [misc]progress: [ 36 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* x x) (/ 1 (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (293 enodes) * [exit]simplify: Simplified to (fma (cos x) (* x x) (* x x)) * [exit]simplify: Simplified to (fma (cos x) (* x x) (* x x)) * * * * [misc]progress: [ 37 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* x x) (+ (* 1 1) (- (* (cos x) (cos x)) (* 1 (cos x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (163 enodes) * * [misc]simplify: iters left: 1 (212 enodes) * [exit]simplify: Simplified to (/ (* x x) (fma (- (cos x) 1) (cos x) 1)) * [exit]simplify: Simplified to (/ (* x x) (fma (- (cos x) 1) (cos x) 1)) * * * * [misc]progress: [ 38 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* x x) (- 1 (cos x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (/ (* x x) (- 1 (cos x))) * [exit]simplify: Simplified to (/ (* x x) (- 1 (cos x))) * * * * [misc]progress: [ 39 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* x x) (+ 1 (cos x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * [exit]simplify: Simplified to (fma (cos x) (* x x) (* x x)) * [exit]simplify: Simplified to (fma (cos x) (* x x) (* x x)) * * * * [misc]progress: [ 40 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (+ 1 (cos x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (expm1 (+ 1 (cos x))) * [exit]simplify: Simplified to (expm1 (+ 1 (cos x))) * * * * [misc]progress: [ 41 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (+ 1 (cos x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log1p (+ 1 (cos x))) * [exit]simplify: Simplified to (log1p (+ 1 (cos x))) * * * * [misc]progress: [ 42 / 114 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ 1 (cos x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (log1p (cos x)) * [exit]simplify: Simplified to (log1p (cos x)) * * * * [misc]progress: [ 44 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ 1 (cos x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (* E (exp (cos x))) * [exit]simplify: Simplified to (* E (exp (cos x))) * * * * [misc]progress: [ 45 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x)))) * [exit]simplify: Simplified to (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x)))) * [enter]simplify: Simplifying (cbrt (+ 1 (cos x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (+ 1 (cos x))) * [exit]simplify: Simplified to (cbrt (+ 1 (cos x))) * * * * [misc]progress: [ 46 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (126 enodes) * * [misc]simplify: iters left: 2 (332 enodes) * [exit]simplify: Simplified to (pow (+ 1 (cos x)) 3) * [exit]simplify: Simplified to (pow (+ 1 (cos x)) 3) * * * * [misc]progress: [ 47 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 (cos x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (cos x))) * [exit]simplify: Simplified to (sqrt (+ 1 (cos x))) * [enter]simplify: Simplifying (sqrt (+ 1 (cos x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (cos x))) * [exit]simplify: Simplified to (sqrt (+ 1 (cos x))) * * * * [misc]progress: [ 48 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow 1 3) (pow (cos x) 3)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * [exit]simplify: Simplified to (fma (cos x) (* (cos x) (cos x)) 1) * [exit]simplify: Simplified to (fma (cos x) (* (cos x) (cos x)) 1) * [enter]simplify: Simplifying (+ (* 1 1) (- (* (cos x) (cos x)) (* 1 (cos x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (146 enodes) * [exit]simplify: Simplified to (fma (cos x) (- (cos x) 1) 1) * [exit]simplify: Simplified to (fma (cos x) (- (cos x) 1) 1) * * * * [misc]progress: [ 49 / 114 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1 1) (* (cos x) (cos x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (* (sin x) (sin x)) * [exit]simplify: Simplified to (* (sin x) (sin x)) * [enter]simplify: Simplifying (- 1 (cos x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (- 1 (cos x)) * [exit]simplify: Simplified to (- 1 (cos x)) * * * * [misc]progress: [ 51 / 114 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (sin x) (sin x))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (expm1 (* (sin x) (sin x))) * [exit]simplify: Simplified to (expm1 (* (sin x) (sin x))) * * * * [misc]progress: [ 53 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (sin x) (sin x))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (log1p (* (sin x) (sin x))) * [exit]simplify: Simplified to (log1p (* (sin x) (sin x))) * * * * [misc]progress: [ 54 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/2 (cos (* 2 x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (* 1/2 (cos (* x 2))) * [exit]simplify: Simplified to (* 1/2 (cos (* x 2))) * * * * [misc]progress: [ 55 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (- (cos (- x x)) (cos (+ x x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * [exit]simplify: Simplified to (- 1 (cos (+ x x))) * [exit]simplify: Simplified to (- 1 (cos (+ x x))) * * * * [misc]progress: [ 56 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ 1 1) * [exit]simplify: Simplified to (+ 1 1) * * * * [misc]progress: [ 57 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin x) (sin x)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (* (sin x) (sin x)) * [exit]simplify: Simplified to (* (sin x) (sin x)) * * * * [misc]progress: [ 58 / 114 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ 1 1) * [exit]simplify: Simplified to (+ 1 1) * * * * [misc]progress: [ 60 / 114 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sin x)) (log (sin x))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (+ (log (sin x)) (log (sin x))) * [exit]simplify: Simplified to (+ (log (sin x)) (log (sin x))) * * * * [misc]progress: [ 62 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (sin x) (sin x))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (+ (log (sin x)) (log (sin x))) * [exit]simplify: Simplified to (+ (log (sin x)) (log (sin x))) * * * * [misc]progress: [ 63 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (sin x) (sin x))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (exp (* (sin x) (sin x))) * [exit]simplify: Simplified to (exp (* (sin x) (sin x))) * * * * [misc]progress: [ 64 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (pow (* (sin x) (sin x)) 3) * [exit]simplify: Simplified to (pow (* (sin x) (sin x)) 3) * * * * [misc]progress: [ 65 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sin x) (sin x))) (cbrt (* (sin x) (sin x)))) * * [misc]simplify: iters left: 6 (5 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sin x) (sin x))) (cbrt (* (sin x) (sin x)))) * [exit]simplify: Simplified to (* (cbrt (* (sin x) (sin x))) (cbrt (* (sin x) (sin x)))) * [enter]simplify: Simplifying (cbrt (* (sin x) (sin x))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (cbrt (* (sin x) (sin x))) * [exit]simplify: Simplified to (cbrt (* (sin x) (sin x))) * * * * [misc]progress: [ 66 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (pow (* (sin x) (sin x)) 3) * [exit]simplify: Simplified to (pow (* (sin x) (sin x)) 3) * * * * [misc]progress: [ 67 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (sin x) (sin x))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (fabs (sin x)) * [exit]simplify: Simplified to (fabs (sin x)) * [enter]simplify: Simplifying (sqrt (* (sin x) (sin x))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (fabs (sin x)) * [exit]simplify: Simplified to (fabs (sin x)) * * * * [misc]progress: [ 68 / 114 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin x) (* (cbrt (sin x)) (cbrt (sin x)))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (sin x)) (* (cbrt (sin x)) (sin x))) * [exit]simplify: Simplified to (* (cbrt (sin x)) (* (cbrt (sin x)) (sin x))) * * * * [misc]progress: [ 70 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin x) (sqrt (sin x))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (* (sqrt (sin x)) (sin x)) * [exit]simplify: Simplified to (* (sqrt (sin x)) (sin x)) * * * * [misc]progress: [ 71 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin x) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (sin x) * [exit]simplify: Simplified to (sin x) * * * * [misc]progress: [ 72 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sin x)) (sin x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (* (cbrt (sin x)) (sin x)) * [exit]simplify: Simplified to (* (cbrt (sin x)) (sin x)) * * * * [misc]progress: [ 73 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sin x)) (sin x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (* (sqrt (sin x)) (sin x)) * [exit]simplify: Simplified to (* (sqrt (sin x)) (sin x)) * * * * [misc]progress: [ 74 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin x) (sin x)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (* (sin x) (sin x)) * [exit]simplify: Simplified to (* (sin x) (sin x)) * * * * [misc]progress: [ 75 / 114 ] simplifiying candidate # * * * * [misc]progress: [ 76 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (* (sin x) (sin x)) (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (expm1 (* (tan (/ x 2)) (sin x))) * [exit]simplify: Simplified to (expm1 (* (tan (/ x 2)) (sin x))) * * * * [misc]progress: [ 77 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (* (sin x) (sin x)) (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (log1p (* (tan (/ x 2)) (sin x))) * [exit]simplify: Simplified to (log1p (* (tan (/ x 2)) (sin x))) * * * * [misc]progress: [ 78 / 114 ] simplifiying candidate # * * * * [misc]progress: [ 79 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (log (sin x)) (log (sin x))) (log (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (- (log (sin x)) (- (log1p (cos x)) (log (sin x)))) * [exit]simplify: Simplified to (- (log (sin x)) (- (log1p (cos x)) (log (sin x)))) * * * * [misc]progress: [ 80 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (* (sin x) (sin x))) (log (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (+ (- (log (sin x)) (log1p (cos x))) (log (sin x))) * [exit]simplify: Simplified to (+ (- (log (sin x)) (log1p (cos x))) (log (sin x))) * * * * [misc]progress: [ 81 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (* (sin x) (sin x)) (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (log (* (tan (/ x 2)) (sin x))) * [exit]simplify: Simplified to (log (* (tan (/ x 2)) (sin x))) * * * * [misc]progress: [ 82 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (* (sin x) (sin x)) (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (exp (* (tan (/ x 2)) (sin x))) * [exit]simplify: Simplified to (exp (* (tan (/ x 2)) (sin x))) * * * * [misc]progress: [ 83 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * [exit]simplify: Simplified to (/ (pow (* (sin x) (sin x)) 3) (pow (+ 1 (cos x)) 3)) * [exit]simplify: Simplified to (/ (pow (* (sin x) (sin x)) 3) (pow (+ 1 (cos x)) 3)) * * * * [misc]progress: [ 84 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * [exit]simplify: Simplified to (pow (* (tan (/ x 2)) (sin x)) 3) * [exit]simplify: Simplified to (pow (* (tan (/ x 2)) (sin x)) 3) * * * * [misc]progress: [ 85 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (* (cbrt (* (tan (/ x 2)) (sin x))) (cbrt (* (tan (/ x 2)) (sin x)))) * [exit]simplify: Simplified to (* (cbrt (* (tan (/ x 2)) (sin x))) (cbrt (* (tan (/ x 2)) (sin x)))) * [enter]simplify: Simplifying (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (cbrt (* (tan (/ x 2)) (sin x))) * [exit]simplify: Simplified to (cbrt (* (tan (/ x 2)) (sin x))) * * * * [misc]progress: [ 86 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (148 enodes) * * [misc]simplify: iters left: 2 (414 enodes) * [exit]simplify: Simplified to (pow (* (sin x) (tan (/ x 2))) 3) * [exit]simplify: Simplified to (pow (* (sin x) (tan (/ x 2))) 3) * * * * [misc]progress: [ 87 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (sqrt (* (tan (/ x 2)) (sin x))) * [exit]simplify: Simplified to (sqrt (* (tan (/ x 2)) (sin x))) * [enter]simplify: Simplifying (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (sqrt (* (tan (/ x 2)) (sin x))) * [exit]simplify: Simplified to (sqrt (* (tan (/ x 2)) (sin x))) * * * * [misc]progress: [ 88 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (sin x) (sin x))) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (* (sin x) (- (sin x))) * [exit]simplify: Simplified to (* (sin x) (- (sin x))) * [enter]simplify: Simplifying (- (+ 1 (cos x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * [exit]simplify: Simplified to (- (- 1) (cos x)) * [exit]simplify: Simplified to (- (- 1) (cos x)) * * * * [misc]progress: [ 89 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1/2 (+ 1 (cos x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ 1/2 (+ (cos x) 1)) * [exit]simplify: Simplified to (/ 1/2 (+ (cos x) 1)) * [enter]simplify: Simplifying (/ (* 1/2 (cos (* 2 x))) (+ 1 (cos x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (* (cos (* x 2)) (/ 1/2 (+ 1 (cos x)))) * [exit]simplify: Simplified to (* (cos (* x 2)) (/ 1/2 (+ 1 (cos x)))) * * * * [misc]progress: [ 90 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin x) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (/ (sin x) (cbrt (+ (cos x) 1))) (cbrt (+ (cos x) 1))) * [exit]simplify: Simplified to (/ (/ (sin x) (cbrt (+ (cos x) 1))) (cbrt (+ (cos x) 1))) * [enter]simplify: Simplifying (/ (sin x) (cbrt (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (sin x) (cbrt (+ (cos x) 1))) * [exit]simplify: Simplified to (/ (sin x) (cbrt (+ (cos x) 1))) * * * * [misc]progress: [ 91 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin x) (sqrt (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (sin x) (sqrt (+ (cos x) 1))) * [exit]simplify: Simplified to (/ (sin x) (sqrt (+ (cos x) 1))) * [enter]simplify: Simplifying (/ (sin x) (sqrt (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (sin x) (sqrt (+ (cos x) 1))) * [exit]simplify: Simplified to (/ (sin x) (sqrt (+ (cos x) 1))) * * * * [misc]progress: [ 92 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin x) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (sin x) * [exit]simplify: Simplified to (sin x) * [enter]simplify: Simplifying (/ (sin x) (+ 1 (cos x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (tan (/ x 2)) * [exit]simplify: Simplified to (tan (/ x 2)) * * * * [misc]progress: [ 93 / 114 ] simplifiying candidate # * * * * [misc]progress: [ 94 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ 1 (cos x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ 1 (+ 1 (cos x))) * [exit]simplify: Simplified to (/ 1 (+ 1 (cos x))) * * * * [misc]progress: [ 95 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ 1 (cos x)) (* (sin x) (sin x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ (+ 1 (cos x)) (* (sin x) (sin x))) * [exit]simplify: Simplified to (/ (+ 1 (cos x)) (* (sin x) (sin x))) * * * * [misc]progress: [ 96 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (sin x) (sin x)) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))) * * [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 (30 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (* (/ (sin x) (cbrt (+ 1 (cos x)))) (/ (sin x) (cbrt (+ 1 (cos x))))) * [exit]simplify: Simplified to (* (/ (sin x) (cbrt (+ 1 (cos x)))) (/ (sin x) (cbrt (+ 1 (cos x))))) * * * * [misc]progress: [ 97 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (sin x) (sin x)) (sqrt (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (/ (* (sin x) (sin x)) (sqrt (+ 1 (cos x)))) * [exit]simplify: Simplified to (/ (* (sin x) (sin x)) (sqrt (+ 1 (cos x)))) * * * * [misc]progress: [ 98 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (sin x) (sin x)) 1) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (* (sin x) (sin x)) * [exit]simplify: Simplified to (* (sin x) (sin x)) * * * * [misc]progress: [ 99 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ 1 (cos x)) (sin x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ (+ 1 (cos x)) (sin x)) * [exit]simplify: Simplified to (/ (+ 1 (cos x)) (sin x)) * * * * [misc]progress: [ 100 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (sin x) (sin x)) (+ (pow 1 3) (pow (cos x) 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (* (sin x) (sin x)) (fma (cos x) (* (cos x) (cos x)) 1)) * [exit]simplify: Simplified to (/ (* (sin x) (sin x)) (fma (cos x) (* (cos x) (cos x)) 1)) * * * * [misc]progress: [ 101 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (sin x) (sin x)) (- (* 1 1) (* (cos x) (cos x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * * * * [misc]progress: [ 102 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ 1 (cos x)) 2) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * [exit]simplify: Simplified to (fma 2 (cos x) 2) * [exit]simplify: Simplified to (fma 2 (cos x) 2) * * * * [misc]progress: [ 103 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ 1/2 (* 1/720 (pow x 4))) (* 1/24 (pow x 2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (108 enodes) * [exit]simplify: Simplified to (- (fma (pow x 4) 1/720 1/2) (* x (* 1/24 x))) * * * * [misc]progress: [ 104 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (sin x) 2) (* (+ 1 (cos x)) (pow x 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (168 enodes) * * [misc]simplify: iters left: 1 (468 enodes) * [exit]simplify: Simplified to (/ (* (sin x) (sin x)) (fma (cos x) (* x x) (* x x))) * * * * [misc]progress: [ 105 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (sin x) 2) (* (+ 1 (cos x)) (pow x 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (168 enodes) * * [misc]simplify: iters left: 1 (468 enodes) * [exit]simplify: Simplified to (/ (* (sin x) (sin x)) (fma (cos x) (* x x) (* x x))) * * * * [misc]progress: [ 106 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (sin x) (sin x)) (- (+ 2 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))) (* x x)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (221 enodes) * * [misc]simplify: iters left: 2 (490 enodes) * [exit]simplify: Simplified to (/ (* (/ (sin x) x) (/ (sin x) x)) (- (fma (pow x 4) 1/24 2) (* (* x x) 1/2))) * * * * [misc]progress: [ 107 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (225 enodes) * [exit]simplify: Simplified to (/ (* (sin x) (sin x)) (fma (cos x) (* x x) (* x x))) * * * * [misc]progress: [ 108 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (225 enodes) * [exit]simplify: Simplified to (/ (* (sin x) (sin x)) (fma (cos x) (* x x) (* x x))) * * * * [misc]progress: [ 109 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (+ (pow x 2) (* 2/45 (pow x 6))) (* 1/3 (pow x 4))) (+ 1 (cos x))) (* x x)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (171 enodes) * * [misc]simplify: iters left: 2 (378 enodes) * [exit]simplify: Simplified to (/ (- (fma 2/45 (pow x 6) (* x x)) (* (pow x 4) 1/3)) (fma (* x x) (cos x) (* x x))) * * * * [misc]progress: [ 110 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (pow (sin x) 2) (+ 1 (cos x))) (* x x)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (217 enodes) * [exit]simplify: Simplified to (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x))) * * * * [misc]progress: [ 111 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (pow (sin x) 2) (+ 1 (cos x))) (* x x)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (217 enodes) * [exit]simplify: Simplified to (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x))) * * * * [misc]progress: [ 112 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (* x x)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (191 enodes) * * [misc]simplify: iters left: 1 (259 enodes) * [exit]simplify: Simplified to (/ (fma (pow x 6) 1/720 (- (* (* x x) 1/2) (* (pow x 4) 1/24))) (* x x)) * * * * [misc]progress: [ 113 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (pow (sin x) 2) (+ 1 (cos x))) (* x x)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (217 enodes) * [exit]simplify: Simplified to (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x))) * * * * [misc]progress: [ 114 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (pow (sin x) 2) (+ 1 (cos x))) (* x x)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (217 enodes) * [exit]simplify: Simplified to (/ (* (sin x) (sin x)) (fma (* x x) (cos x) (* x x))) * * * [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 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (* (sin x) (sin x)) x) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (sin x) (sin x)) x) in x * [misc]taylor: Taking taylor expansion of (* (sin x) (sin x)) in x * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 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 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]taylor: Taking taylor expansion of (/ (* (sin x) (sin x)) x) in x * [misc]taylor: Taking taylor expansion of (* (sin x) (sin x)) in x * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 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 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 into 1 * [misc]backup-simplify: Simplify -1/6 into -1/6 * [misc]backup-simplify: Simplify -1/6 into -1/6 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]backup-simplify: Simplify 1/120 into 1/120 * [misc]backup-simplify: Simplify 1/120 into 1/120 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 2/45 into 2/45 * [misc]backup-simplify: Simplify 2/45 into 2/45 * [misc]backup-simplify: Simplify 2/45 into 2/45 * [misc]backup-simplify: Simplify (+ (* 2/45 (pow x 5)) (+ (* -1/3 (pow x 3)) x)) into (- (+ (* 2/45 (pow x 5)) x) (* 1/3 (pow x 3))) * [misc]approximate: Taking taylor expansion of (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (/ 1 x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 x)) (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 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 (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) * [misc]backup-simplify: Simplify (pow (sin (/ 1 x)) 2) into (pow (sin (/ 1 x)) 2) * [misc]taylor: Taking taylor expansion of (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 x)) (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 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 (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) * [misc]backup-simplify: Simplify (pow (sin (/ 1 x)) 2) into (pow (sin (/ 1 x)) 2) * [misc]backup-simplify: Simplify (pow (sin (/ 1 x)) 2) into (pow (sin (/ 1 x)) 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (pow (sin (/ 1 (/ 1 x))) 2) (/ 1 x)) into (/ (pow (sin x) 2) x) * [misc]approximate: Taking taylor expansion of (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (/ 1 (- x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 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 (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) * [misc]backup-simplify: Simplify (/ (pow (sin (/ -1 x)) 2) -1) into (* -1 (pow (sin (/ -1 x)) 2)) * [misc]taylor: Taking taylor expansion of (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 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 (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) * [misc]backup-simplify: Simplify (/ (pow (sin (/ -1 x)) 2) -1) into (* -1 (pow (sin (/ -1 x)) 2)) * [misc]backup-simplify: Simplify (* -1 (pow (sin (/ -1 x)) 2)) into (* -1 (pow (sin (/ -1 x)) 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -1 (pow (sin (/ -1 (/ 1 (- x)))) 2)) (/ 1 (- x))) into (/ (pow (sin x) 2) x) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (fma (cos x) x x) in (x) around 0 * [misc]taylor: Taking taylor expansion of (fma (cos x) x x) in x * [misc]taylor: Rewrote expression to (+ (* (cos x) x) x) * [misc]taylor: Taking taylor expansion of (* (cos x) x) in x * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (fma (cos x) x x) in x * [misc]taylor: Rewrote expression to (+ (* (cos x) x) x) * [misc]taylor: Taking taylor expansion of (* (cos x) x) in x * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 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 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 into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [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 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 (+ (* 1/24 (pow x 5)) (+ (* -1/2 (pow x 3)) (* 2 x))) into (- (+ (* 1/24 (pow x 5)) (* 2 x)) (* 1/2 (pow x 3))) * [misc]approximate: Taking taylor expansion of (fma (cos (/ 1 x)) (/ 1 x) (/ 1 x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (fma (cos (/ 1 x)) (/ 1 x) (/ 1 x)) in x * [misc]taylor: Rewrote expression to (+ (* (cos (/ 1 x)) (/ 1 x)) (/ 1 x)) * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 x)) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 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 x) in x * [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 (fma (cos (/ 1 x)) (/ 1 x) (/ 1 x)) in x * [misc]taylor: Rewrote expression to (+ (* (cos (/ 1 x)) (/ 1 x)) (/ 1 x)) * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 x)) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 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 x) in x * [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 (+ 1 (cos (/ 1 x))) into (+ (cos (/ 1 x)) 1) * [misc]backup-simplify: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 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 (* (+ (cos (/ 1 (/ 1 x))) 1) (/ 1 (/ 1 x))) into (* (+ 1 (cos x)) x) * [misc]approximate: Taking taylor expansion of (fma (cos (/ 1 (- x))) (/ 1 (- x)) (/ 1 (- x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (fma (cos (/ 1 (- x))) (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (+ (* (cos (/ 1 (- x))) (/ 1 (- x))) (/ 1 (- x))) * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- x))) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 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 (- 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 (fma (cos (/ 1 (- x))) (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (+ (* (cos (/ 1 (- x))) (/ 1 (- x))) (/ 1 (- x))) * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- x))) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 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 (- 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 (cos (/ -1 x))) into (* -1 (cos (/ -1 x))) * [misc]backup-simplify: Simplify (+ -1 (* -1 (cos (/ -1 x)))) into (- (+ (cos (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (- (+ (cos (/ -1 x)) 1)) into (- (+ (cos (/ -1 x)) 1)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (- (+ (cos (/ -1 (/ 1 (- x)))) 1)) (/ 1 (/ 1 (- x)))) into (* (+ 1 (cos x)) x) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (* (sin x) (sin x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (sin x) (sin x)) in x * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sin x) (sin x)) in x * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (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 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 -1/6 into -1/6 * [misc]backup-simplify: Simplify -1/6 into -1/6 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]backup-simplify: Simplify 1/120 into 1/120 * [misc]backup-simplify: Simplify 1/120 into 1/120 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 2/45 into 2/45 * [misc]backup-simplify: Simplify 2/45 into 2/45 * [misc]backup-simplify: Simplify (+ (* 2/45 (pow x 6)) (+ (* -1/3 (pow x 4)) (pow x 2))) into (- (+ (pow x 2) (* 2/45 (pow x 6))) (* 1/3 (pow x 4))) * [misc]approximate: Taking taylor expansion of (* (sin (/ 1 x)) (sin (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 x)) (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 x)) (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) * [misc]backup-simplify: Simplify (pow (sin (/ 1 x)) 2) into (pow (sin (/ 1 x)) 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 (pow (sin (/ 1 (/ 1 x))) 2) into (pow (sin x) 2) * [misc]approximate: Taking taylor expansion of (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) * [misc]backup-simplify: Simplify (pow (sin (/ -1 x)) 2) into (pow (sin (/ -1 x)) 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 (pow (sin (/ -1 (/ 1 (- x)))) 2) into (pow (sin x) 2) * * * * [misc]progress: [ 4 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (/ (* (sin x) (sin x)) x) (/ 1 (fma (cos x) x x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (* (sin x) (sin x)) x) (/ 1 (fma (cos x) x x))) in x * [misc]taylor: Taking taylor expansion of (/ (* (sin x) (sin x)) x) in x * [misc]taylor: Taking taylor expansion of (* (sin x) (sin x)) in x * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 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 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]taylor: Taking taylor expansion of (/ 1 (fma (cos x) x x)) in x * [misc]taylor: Taking taylor expansion of (fma (cos x) x x) in x * [misc]taylor: Rewrote expression to (+ (* (cos x) x) x) * [misc]taylor: Taking taylor expansion of (* (cos x) x) in x * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]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 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (/ (* (sin x) (sin x)) x) (/ 1 (fma (cos x) x x))) in x * [misc]taylor: Taking taylor expansion of (/ (* (sin x) (sin x)) x) in x * [misc]taylor: Taking taylor expansion of (* (sin x) (sin x)) in x * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 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 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]taylor: Taking taylor expansion of (/ 1 (fma (cos x) x x)) in x * [misc]taylor: Taking taylor expansion of (fma (cos x) x x) in x * [misc]taylor: Rewrote expression to (+ (* (cos x) x) x) * [misc]taylor: Taking taylor expansion of (* (cos x) x) in x * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]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 1/2 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 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 into -1/6 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 into -1/2 * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [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 0 into 0 * [misc]backup-simplify: Simplify 1/120 into 1/120 * [misc]backup-simplify: Simplify 1/120 into 1/120 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 into 1/24 * [misc]backup-simplify: Simplify 1/48 into 1/48 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 2/45 into 2/45 * [misc]backup-simplify: Simplify 2/45 into 2/45 * [misc]backup-simplify: Simplify 1/720 into 1/720 * [misc]backup-simplify: Simplify 1/720 into 1/720 * [misc]backup-simplify: Simplify (+ 1/2 (+ (* 1/720 (pow x 4)) (* -1/24 (pow x 2)))) into (- (+ 1/2 (* 1/720 (pow x 4))) (* 1/24 (pow x 2))) * [misc]approximate: Taking taylor expansion of (* (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (/ 1 x)) (/ 1 (fma (cos (/ 1 x)) (/ 1 x) (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (/ 1 x)) (/ 1 (fma (cos (/ 1 x)) (/ 1 x) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 x)) (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 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 (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) * [misc]backup-simplify: Simplify (pow (sin (/ 1 x)) 2) into (pow (sin (/ 1 x)) 2) * [misc]taylor: Taking taylor expansion of (/ 1 (fma (cos (/ 1 x)) (/ 1 x) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (fma (cos (/ 1 x)) (/ 1 x) (/ 1 x)) in x * [misc]taylor: Rewrote expression to (+ (* (cos (/ 1 x)) (/ 1 x)) (/ 1 x)) * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 x)) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 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 x) in x * [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 (+ 1 (cos (/ 1 x))) into (+ (cos (/ 1 x)) 1) * [misc]backup-simplify: Simplify (/ 1 (+ (cos (/ 1 x)) 1)) into (/ 1 (+ (cos (/ 1 x)) 1)) * [misc]taylor: Taking taylor expansion of (* (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (/ 1 x)) (/ 1 (fma (cos (/ 1 x)) (/ 1 x) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 x)) (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 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 (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) * [misc]backup-simplify: Simplify (pow (sin (/ 1 x)) 2) into (pow (sin (/ 1 x)) 2) * [misc]taylor: Taking taylor expansion of (/ 1 (fma (cos (/ 1 x)) (/ 1 x) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (fma (cos (/ 1 x)) (/ 1 x) (/ 1 x)) in x * [misc]taylor: Rewrote expression to (+ (* (cos (/ 1 x)) (/ 1 x)) (/ 1 x)) * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 x)) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 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 x) in x * [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 (+ 1 (cos (/ 1 x))) into (+ (cos (/ 1 x)) 1) * [misc]backup-simplify: Simplify (/ 1 (+ (cos (/ 1 x)) 1)) into (/ 1 (+ (cos (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (* (pow (sin (/ 1 x)) 2) (/ 1 (+ (cos (/ 1 x)) 1))) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 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 (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ (pow (sin (/ 1 (/ 1 x))) 2) (+ (cos (/ 1 (/ 1 x))) 1)) (pow (/ 1 x) 2)) into (/ (pow (sin x) 2) (* (+ 1 (cos x)) (pow x 2))) * [misc]approximate: Taking taylor expansion of (* (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (/ 1 (- x))) (/ 1 (fma (cos (/ 1 (- x))) (/ 1 (- x)) (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (/ 1 (- x))) (/ 1 (fma (cos (/ 1 (- x))) (/ 1 (- x)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 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 (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) * [misc]backup-simplify: Simplify (/ (pow (sin (/ -1 x)) 2) -1) into (* -1 (pow (sin (/ -1 x)) 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (fma (cos (/ 1 (- x))) (/ 1 (- x)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (fma (cos (/ 1 (- x))) (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (+ (* (cos (/ 1 (- x))) (/ 1 (- x))) (/ 1 (- x))) * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- x))) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 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 (- 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 (cos (/ -1 x))) into (* -1 (cos (/ -1 x))) * [misc]backup-simplify: Simplify (+ -1 (* -1 (cos (/ -1 x)))) into (- (+ (cos (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (/ 1 (- (+ (cos (/ -1 x)) 1))) into (/ -1 (+ (cos (/ -1 x)) 1)) * [misc]taylor: Taking taylor expansion of (* (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (/ 1 (- x))) (/ 1 (fma (cos (/ 1 (- x))) (/ 1 (- x)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 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 (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) * [misc]backup-simplify: Simplify (/ (pow (sin (/ -1 x)) 2) -1) into (* -1 (pow (sin (/ -1 x)) 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (fma (cos (/ 1 (- x))) (/ 1 (- x)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (fma (cos (/ 1 (- x))) (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (+ (* (cos (/ 1 (- x))) (/ 1 (- x))) (/ 1 (- x))) * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- x))) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 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 (- 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 (cos (/ -1 x))) into (* -1 (cos (/ -1 x))) * [misc]backup-simplify: Simplify (+ -1 (* -1 (cos (/ -1 x)))) into (- (+ (cos (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (/ 1 (- (+ (cos (/ -1 x)) 1))) into (/ -1 (+ (cos (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (* (* -1 (pow (sin (/ -1 x)) 2)) (/ -1 (+ (cos (/ -1 x)) 1))) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ -1 (+ (cos (/ -1 x)) 1)) (/ 0 (- (+ (cos (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -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 (+ (cos (/ -1 x)) 1)) (/ 0 (- (+ (cos (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -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 (* (/ -1 (+ (cos (/ -1 x)) 1)) (/ 0 (- (+ (cos (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -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 (* (/ -1 (+ (cos (/ -1 x)) 1)) (/ 0 (- (+ (cos (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ -1 (+ (cos (/ -1 x)) 1)) (/ 0 (- (+ (cos (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ -1 (+ (cos (/ -1 x)) 1)) (/ 0 (- (+ (cos (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ (pow (sin (/ -1 (/ 1 (- x)))) 2) (+ (cos (/ -1 (/ 1 (- x)))) 1)) (pow (/ 1 (- x)) 2)) into (/ (pow (sin x) 2) (* (+ 1 (cos x)) (pow x 2))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (* (sin x) (sin x)) x)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (expm1 (/ (* (sin x) (sin x)) x)) * [exit]simplify: Simplified to (expm1 (/ (* (sin x) (sin x)) x)) * * * * [misc]progress: [ 2 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (* (sin x) (sin x)) x)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (log1p (/ (* (sin x) (sin x)) x)) * [exit]simplify: Simplified to (log1p (/ (* (sin x) (sin x)) x)) * * * * [misc]progress: [ 3 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (* (sin x) (sin x)) x)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (log (* (/ (sin x) x) (sin x))) * [exit]simplify: Simplified to (log (* (/ (sin x) x) (sin x))) * * * * [misc]progress: [ 5 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (* (sin x) (sin x)) x)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (exp (/ (* (sin x) (sin x)) x)) * [exit]simplify: Simplified to (exp (/ (* (sin x) (sin x)) x)) * * * * [misc]progress: [ 6 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (* (sin x) (sin x)) x)) (cbrt (/ (* (sin x) (sin x)) x))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (* (sin x) (sin x)) x)) (cbrt (/ (* (sin x) (sin x)) x))) * [exit]simplify: Simplified to (* (cbrt (/ (* (sin x) (sin x)) x)) (cbrt (/ (* (sin x) (sin x)) x))) * [enter]simplify: Simplifying (cbrt (/ (* (sin x) (sin x)) x)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (sin x) (sin x)) x)) * [exit]simplify: Simplified to (cbrt (/ (* (sin x) (sin x)) x)) * * * * [misc]progress: [ 7 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (* (sin x) (sin x)) x) (/ (* (sin x) (sin x)) x)) (/ (* (sin x) (sin x)) x)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (143 enodes) * * [misc]simplify: iters left: 2 (393 enodes) * [exit]simplify: Simplified to (/ (* (/ (sin x) x) (* (sin x) (sin x))) (/ (/ (* x x) (sin x)) (* (sin x) (sin x)))) * [exit]simplify: Simplified to (/ (* (/ (sin x) x) (* (sin x) (sin x))) (/ (/ (* x x) (sin x)) (* (sin x) (sin x)))) * * * * [misc]progress: [ 8 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (* (sin x) (sin x)) x)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (sqrt (/ (* (sin x) (sin x)) x)) * [exit]simplify: Simplified to (sqrt (/ (* (sin x) (sin x)) x)) * [enter]simplify: Simplifying (sqrt (/ (* (sin x) (sin x)) x)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (sqrt (/ (* (sin x) (sin x)) x)) * [exit]simplify: Simplified to (sqrt (/ (* (sin x) (sin x)) x)) * * * * [misc]progress: [ 9 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (sin x) (sin x))) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (* (sin x) (- (sin x))) * [exit]simplify: Simplified to (* (sin x) (- (sin x))) * [enter]simplify: Simplifying (- x) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- x) * [exit]simplify: Simplified to (- x) * * * * [misc]progress: [ 10 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1/2 x) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ 1/2 x) * [exit]simplify: Simplified to (/ 1/2 x) * [enter]simplify: Simplifying (/ (* 1/2 (cos (* 2 x))) x) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (/ (cos (* x 2)) (/ x 1/2)) * [exit]simplify: Simplified to (/ (cos (* x 2)) (/ x 1/2)) * * * * [misc]progress: [ 11 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 x) * [exit]simplify: Simplified to (/ 1 x) * * * * [misc]progress: [ 13 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (/ x (* (sin x) (sin x))) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ x (* (sin x) (sin x))) * [exit]simplify: Simplified to (/ x (* (sin x) (sin x))) * * * * [misc]progress: [ 14 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (/ x (sin x)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (/ x (sin x)) * [exit]simplify: Simplified to (/ x (sin x)) * * * * [misc]progress: [ 15 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* x 2) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* 2 x) * [exit]simplify: Simplified to (* 2 x) * * * * [misc]progress: [ 16 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (fma (cos x) x x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (expm1 (fma x (cos x) x)) * [exit]simplify: Simplified to (expm1 (fma x (cos x) x)) * * * * [misc]progress: [ 17 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (fma (cos x) x x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (log1p (fma x (cos x) x)) * [exit]simplify: Simplified to (log1p (fma x (cos x) x)) * * * * [misc]progress: [ 18 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos x) x) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (* (cos x) x) * [exit]simplify: Simplified to (* (cos x) x) * * * * [misc]progress: [ 19 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (log (fma (cos x) x x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (log (fma x (cos x) x)) * [exit]simplify: Simplified to (log (fma x (cos x) x)) * * * * [misc]progress: [ 21 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (cos x) x x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (exp (fma x (cos x) x)) * [exit]simplify: Simplified to (exp (fma x (cos x) x)) * * * * [misc]progress: [ 22 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (fma (cos x) x x)) (cbrt (fma (cos x) x x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (* (cbrt (fma (cos x) x x)) (cbrt (fma (cos x) x x))) * [exit]simplify: Simplified to (* (cbrt (fma (cos x) x x)) (cbrt (fma (cos x) x x))) * [enter]simplify: Simplifying (cbrt (fma (cos x) x x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (cbrt (fma x (cos x) x)) * [exit]simplify: Simplified to (cbrt (fma x (cos x) x)) * * * * [misc]progress: [ 23 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (fma (cos x) x x) (fma (cos x) x x)) (fma (cos x) x x)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (459 enodes) * [exit]simplify: Simplified to (pow (fma x (cos x) x) 3) * [exit]simplify: Simplified to (pow (fma x (cos x) x) 3) * * * * [misc]progress: [ 24 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (fma (cos x) x x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (sqrt (fma x (cos x) x)) * [exit]simplify: Simplified to (sqrt (fma x (cos x) x)) * [enter]simplify: Simplifying (sqrt (fma (cos x) x x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (sqrt (fma x (cos x) x)) * [exit]simplify: Simplified to (sqrt (fma x (cos x) x)) * * * * [misc]progress: [ 25 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (sin x) (sin x))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (expm1 (* (sin x) (sin x))) * [exit]simplify: Simplified to (expm1 (* (sin x) (sin x))) * * * * [misc]progress: [ 27 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (sin x) (sin x))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (log1p (* (sin x) (sin x))) * [exit]simplify: Simplified to (log1p (* (sin x) (sin x))) * * * * [misc]progress: [ 28 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/2 (cos (* 2 x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (* 1/2 (cos (* x 2))) * [exit]simplify: Simplified to (* 1/2 (cos (* x 2))) * * * * [misc]progress: [ 29 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (- (cos (- x x)) (cos (+ x x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * [exit]simplify: Simplified to (- 1 (cos (+ x x))) * [exit]simplify: Simplified to (- 1 (cos (+ x x))) * * * * [misc]progress: [ 30 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ 1 1) * [exit]simplify: Simplified to (+ 1 1) * * * * [misc]progress: [ 31 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin x) (sin x)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (* (sin x) (sin x)) * [exit]simplify: Simplified to (* (sin x) (sin x)) * * * * [misc]progress: [ 32 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ 1 1) * [exit]simplify: Simplified to (+ 1 1) * * * * [misc]progress: [ 34 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sin x)) (log (sin x))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (+ (log (sin x)) (log (sin x))) * [exit]simplify: Simplified to (+ (log (sin x)) (log (sin x))) * * * * [misc]progress: [ 36 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (sin x) (sin x))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (+ (log (sin x)) (log (sin x))) * [exit]simplify: Simplified to (+ (log (sin x)) (log (sin x))) * * * * [misc]progress: [ 37 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (sin x) (sin x))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (exp (* (sin x) (sin x))) * [exit]simplify: Simplified to (exp (* (sin x) (sin x))) * * * * [misc]progress: [ 38 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (pow (* (sin x) (sin x)) 3) * [exit]simplify: Simplified to (pow (* (sin x) (sin x)) 3) * * * * [misc]progress: [ 39 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sin x) (sin x))) (cbrt (* (sin x) (sin x)))) * * [misc]simplify: iters left: 6 (5 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sin x) (sin x))) (cbrt (* (sin x) (sin x)))) * [exit]simplify: Simplified to (* (cbrt (* (sin x) (sin x))) (cbrt (* (sin x) (sin x)))) * [enter]simplify: Simplifying (cbrt (* (sin x) (sin x))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (cbrt (* (sin x) (sin x))) * [exit]simplify: Simplified to (cbrt (* (sin x) (sin x))) * * * * [misc]progress: [ 40 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (pow (* (sin x) (sin x)) 3) * [exit]simplify: Simplified to (pow (* (sin x) (sin x)) 3) * * * * [misc]progress: [ 41 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (sin x) (sin x))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (fabs (sin x)) * [exit]simplify: Simplified to (fabs (sin x)) * [enter]simplify: Simplifying (sqrt (* (sin x) (sin x))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (fabs (sin x)) * [exit]simplify: Simplified to (fabs (sin x)) * * * * [misc]progress: [ 42 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin x) (* (cbrt (sin x)) (cbrt (sin x)))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (sin x)) (* (cbrt (sin x)) (sin x))) * [exit]simplify: Simplified to (* (cbrt (sin x)) (* (cbrt (sin x)) (sin x))) * * * * [misc]progress: [ 44 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin x) (sqrt (sin x))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (* (sqrt (sin x)) (sin x)) * [exit]simplify: Simplified to (* (sqrt (sin x)) (sin x)) * * * * [misc]progress: [ 45 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin x) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (sin x) * [exit]simplify: Simplified to (sin x) * * * * [misc]progress: [ 46 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sin x)) (sin x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (* (cbrt (sin x)) (sin x)) * [exit]simplify: Simplified to (* (cbrt (sin x)) (sin x)) * * * * [misc]progress: [ 47 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sin x)) (sin x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (* (sqrt (sin x)) (sin x)) * [exit]simplify: Simplified to (* (sqrt (sin x)) (sin x)) * * * * [misc]progress: [ 48 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin x) (sin x)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (* (sin x) (sin x)) * [exit]simplify: Simplified to (* (sin x) (sin x)) * * * * [misc]progress: [ 49 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (/ (* (sin x) (sin x)) x) (/ 1 (fma (cos x) x x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (305 enodes) * [exit]simplify: Simplified to (expm1 (* (/ (sin x) (* x x)) (tan (/ x 2)))) * [exit]simplify: Simplified to (expm1 (* (/ (sin x) (* x x)) (tan (/ x 2)))) * * * * [misc]progress: [ 51 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (/ (* (sin x) (sin x)) x) (/ 1 (fma (cos x) x x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (305 enodes) * [exit]simplify: Simplified to (log1p (* (/ (sin x) (* x x)) (tan (/ x 2)))) * [exit]simplify: Simplified to (log1p (* (/ (sin x) (* x x)) (tan (/ x 2)))) * * * * [misc]progress: [ 52 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (* (sin x) (sin x)) x) (/ 1 (fma (cos x) x x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (310 enodes) * [exit]simplify: Simplified to (/ (tan (/ x 2)) (/ (* x x) (sin x))) * [exit]simplify: Simplified to (/ (tan (/ x 2)) (/ (* x x) (sin x))) * * * * [misc]progress: [ 53 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ (* (sin x) (sin x)) x)) (- (log (fma (cos x) x x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (219 enodes) * [exit]simplify: Simplified to (- (- (log (sin x)) (+ (log x) (log x))) (- (log1p (cos x)) (log (sin x)))) * [exit]simplify: Simplified to (- (- (log (sin x)) (+ (log x) (log x))) (- (log1p (cos x)) (log (sin x)))) * * * * [misc]progress: [ 55 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ (* (sin x) (sin x)) x)) (log (/ 1 (fma (cos x) x x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (297 enodes) * [exit]simplify: Simplified to (- (log (* (/ (sin x) x) (sin x))) (log (fma (cos x) x x))) * [exit]simplify: Simplified to (- (log (* (/ (sin x) x) (sin x))) (log (fma (cos x) x x))) * * * * [misc]progress: [ 56 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (/ (* (sin x) (sin x)) x) (/ 1 (fma (cos x) x x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (169 enodes) * [exit]simplify: Simplified to (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))) * [exit]simplify: Simplified to (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos x)))) * * * * [misc]progress: [ 57 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (/ (* (sin x) (sin x)) x) (/ 1 (fma (cos x) x x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (318 enodes) * [exit]simplify: Simplified to (exp (* (tan (/ x 2)) (/ (sin x) (* x x)))) * [exit]simplify: Simplified to (exp (* (tan (/ x 2)) (/ (sin x) (* x x)))) * * * * [misc]progress: [ 58 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (* (sin x) (sin x)) x) (/ (* (sin x) (sin x)) x)) (/ (* (sin x) (sin x)) x)) (* (* (/ 1 (fma (cos x) x x)) (/ 1 (fma (cos x) x x))) (/ 1 (fma (cos x) x x)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (125 enodes) * * [misc]simplify: iters left: 3 (490 enodes) * [exit]simplify: Simplified to (* (/ (/ (* (sin x) (sin x)) (/ (* x x) (sin x))) (/ x (* (sin x) (sin x)))) (/ (/ (* (sin x) 1) (fma (cos x) x x)) (* (fma (cos x) x x) (fma (cos x) x x)))) * [exit]simplify: Simplified to (* (/ (/ (* (sin x) (sin x)) (/ (* x x) (sin x))) (/ x (* (sin x) (sin x)))) (/ (/ (* (sin x) 1) (fma (cos x) x x)) (* (fma (cos x) x x) (fma (cos x) x x)))) * * * * [misc]progress: [ 59 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (/ (* (sin x) (sin x)) x) (/ 1 (fma (cos x) x x)))) (cbrt (* (/ (* (sin x) (sin x)) x) (/ 1 (fma (cos x) x x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (310 enodes) * [exit]simplify: Simplified to (* (cbrt (* (tan (/ x 2)) (/ (sin x) (* x x)))) (cbrt (* (tan (/ x 2)) (/ (sin x) (* x x))))) * [exit]simplify: Simplified to (* (cbrt (* (tan (/ x 2)) (/ (sin x) (* x x)))) (cbrt (* (tan (/ x 2)) (/ (sin x) (* x x))))) * [enter]simplify: Simplifying (cbrt (* (/ (* (sin x) (sin x)) x) (/ 1 (fma (cos x) x x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (305 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) * [exit]simplify: Simplified to (cbrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) * * * * [misc]progress: [ 60 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (* (sin x) (sin x)) x) (/ 1 (fma (cos x) x x))) (* (/ (* (sin x) (sin x)) x) (/ 1 (fma (cos x) x x)))) (* (/ (* (sin x) (sin x)) x) (/ 1 (fma (cos x) x x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * [exit]simplify: Simplified to (pow (* (/ (/ (sin x) x) (+ 1 (cos x))) (/ (sin x) x)) 3) * [exit]simplify: Simplified to (pow (* (/ (/ (sin x) x) (+ 1 (cos x))) (/ (sin x) x)) 3) * * * * [misc]progress: [ 61 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (/ (* (sin x) (sin x)) x) (/ 1 (fma (cos x) x x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (305 enodes) * [exit]simplify: Simplified to (sqrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) * [exit]simplify: Simplified to (sqrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) * [enter]simplify: Simplifying (sqrt (* (/ (* (sin x) (sin x)) x) (/ 1 (fma (cos x) x x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (305 enodes) * [exit]simplify: Simplified to (sqrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) * [exit]simplify: Simplified to (sqrt (* (/ (sin x) (* x x)) (tan (/ x 2)))) * * * * [misc]progress: [ 62 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sin x) (sin x)) 1) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (* (sin x) (sin x)) * [exit]simplify: Simplified to (* (sin x) (sin x)) * [enter]simplify: Simplifying (* x (fma (cos x) x x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (fma (cos x) (* x x) (* x x)) * [exit]simplify: Simplified to (fma (cos x) (* x x) (* x x)) * * * * [misc]progress: [ 63 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (* (sin x) (sin x)) x) (* (cbrt (/ 1 (fma (cos x) x x))) (cbrt (/ 1 (fma (cos x) x x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (156 enodes) * [exit]simplify: Simplified to (* (* (sin x) (cbrt (/ 1 (fma (cos x) x x)))) (* (/ (sin x) x) (cbrt (/ 1 (fma (cos x) x x))))) * [exit]simplify: Simplified to (* (* (sin x) (cbrt (/ 1 (fma (cos x) x x)))) (* (/ (sin x) x) (cbrt (/ 1 (fma (cos x) x x))))) * * * * [misc]progress: [ 66 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (* (sin x) (sin x)) x) (sqrt (/ 1 (fma (cos x) x x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (* (sqrt (/ 1 (fma x (cos x) x))) (/ (sin x) (/ x (sin x)))) * [exit]simplify: Simplified to (* (sqrt (/ 1 (fma x (cos x) x))) (/ (sin x) (/ x (sin x)))) * * * * [misc]progress: [ 67 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (* (sin x) (sin x)) x) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (/ (sin x) (/ x (sin x))) * [exit]simplify: Simplified to (/ (sin x) (/ x (sin x))) * * * * [misc]progress: [ 68 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (* (sin x) (sin x)) x) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (/ (sin x) (/ x (sin x))) * [exit]simplify: Simplified to (/ (sin x) (/ x (sin x))) * * * * [misc]progress: [ 69 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (* (sin x) (sin x)) x)) (/ 1 (fma (cos x) x x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (152 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (sin x) (/ x (sin x)))) (fma x (cos x) x)) * [exit]simplify: Simplified to (/ (cbrt (/ (sin x) (/ x (sin x)))) (fma x (cos x) x)) * * * * [misc]progress: [ 70 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ (* (sin x) (sin x)) x)) (/ 1 (fma (cos x) x x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (152 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (sin x) (/ x (sin x)))) (fma x (cos x) x)) * [exit]simplify: Simplified to (/ (sqrt (/ (sin x) (/ x (sin x)))) (fma x (cos x) x)) * * * * [misc]progress: [ 71 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (* (sin x) (sin x)) x) (/ 1 (fma (cos x) x x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (310 enodes) * [exit]simplify: Simplified to (/ (tan (/ x 2)) (/ (* x x) (sin x))) * [exit]simplify: Simplified to (/ (tan (/ x 2)) (/ (* x x) (sin x))) * * * * [misc]progress: [ 72 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 x) (/ 1 (fma (cos x) x x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (/ 1 (fma (* x x) (cos x) (* x x))) * [exit]simplify: Simplified to (/ 1 (fma (* x x) (cos x) (* x x))) * * * * [misc]progress: [ 73 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (* (sin x) (sin x)) x) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (/ (sin x) (/ x (sin x))) * [exit]simplify: Simplified to (/ (sin x) (/ x (sin x))) * * * * [misc]progress: [ 74 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sin x) (sin x)) (/ 1 (fma (cos x) x x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (194 enodes) * * [misc]simplify: iters left: 1 (382 enodes) * [exit]simplify: Simplified to (/ (* (sin x) (sin x)) (fma (cos x) x x)) * [exit]simplify: Simplified to (/ (* (sin x) (sin x)) (fma (cos x) x x)) * * * * [misc]progress: [ 75 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 76 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (+ (* 2/45 (pow x 5)) x) (* 1/3 (pow x 3))) (/ 1 (fma (cos x) x x))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (221 enodes) * [exit]simplify: Simplified to (/ (- (fma (pow x 5) 2/45 x) (* (* 1/3 x) (* x x))) (fma x (cos x) x)) * * * * [misc]progress: [ 77 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (pow (sin x) 2) x) (/ 1 (fma (cos x) x x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (250 enodes) * [exit]simplify: Simplified to (* (/ (sin x) (* x x)) (tan (/ x 2))) * * * * [misc]progress: [ 78 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (pow (sin x) 2) x) (/ 1 (fma (cos x) x x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (250 enodes) * [exit]simplify: Simplified to (* (/ (sin x) (* x x)) (tan (/ x 2))) * * * * [misc]progress: [ 79 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (* (sin x) (sin x)) x) (/ 1 (- (+ (* 1/24 (pow x 5)) (* 2 x)) (* 1/2 (pow x 3))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (196 enodes) * * [misc]simplify: iters left: 2 (424 enodes) * [exit]simplify: Simplified to (/ (* (/ (sin x) x) (sin x)) (fma (fma (* x 1/2) (- x) 2) x (* 1/24 (pow x 5)))) * * * * [misc]progress: [ 80 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (* (sin x) (sin x)) x) (/ 1 (* (+ 1 (cos x)) x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (174 enodes) * * [misc]simplify: iters left: 2 (479 enodes) * [exit]simplify: Simplified to (* (/ (sin x) (* x x)) (tan (/ x 2))) * * * * [misc]progress: [ 81 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (* (sin x) (sin x)) x) (/ 1 (* (+ 1 (cos x)) x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (174 enodes) * * [misc]simplify: iters left: 2 (479 enodes) * [exit]simplify: Simplified to (* (/ (sin x) (* x x)) (tan (/ x 2))) * * * * [misc]progress: [ 82 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (+ (pow x 2) (* 2/45 (pow x 6))) (* 1/3 (pow x 4))) x) (/ 1 (fma (cos x) x x))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (178 enodes) * [exit]simplify: Simplified to (/ (- (fma 2/45 (pow x 6) (* x x)) (* (pow x 4) 1/3)) (* (fma (cos x) x x) x)) * * * * [misc]progress: [ 83 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (pow (sin x) 2) x) (/ 1 (fma (cos x) x x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (250 enodes) * [exit]simplify: Simplified to (* (/ (sin x) (* x x)) (tan (/ x 2))) * * * * [misc]progress: [ 84 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (pow (sin x) 2) x) (/ 1 (fma (cos x) x x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (250 enodes) * [exit]simplify: Simplified to (* (/ (sin x) (* x x)) (tan (/ x 2))) * * * * [misc]progress: [ 85 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ 1/2 (* 1/720 (pow x 4))) (* 1/24 (pow x 2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (108 enodes) * [exit]simplify: Simplified to (- (fma (pow x 4) 1/720 1/2) (* x (* 1/24 x))) * * * * [misc]progress: [ 86 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (sin x) 2) (* (+ 1 (cos x)) (pow x 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (168 enodes) * * [misc]simplify: iters left: 1 (468 enodes) * [exit]simplify: Simplified to (/ (* (sin x) (sin x)) (fma (cos x) (* x x) (* x x))) * * * * [misc]progress: [ 87 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (sin x) 2) (* (+ 1 (cos x)) (pow x 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (168 enodes) * * [misc]simplify: iters left: 1 (468 enodes) * [exit]simplify: Simplified to (/ (* (sin x) (sin x)) (fma (cos x) (* x x) (* x x))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (cbrt (* (tan (/ x 2)) (sin x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* (tan (/ x 2)) (sin x))) in x * [misc]taylor: Rewrote expression to (pow (* (tan (/ x 2)) (sin x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (tan (/ x 2)) (sin x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (tan (/ x 2)) (sin x)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (tan (/ x 2)) (sin x))) in x * [misc]taylor: Taking taylor expansion of (* (tan (/ x 2)) (sin x)) in x * [misc]taylor: Taking taylor expansion of (tan (/ x 2)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ x 2)) (cos (/ x 2))) * [misc]taylor: Taking taylor expansion of (sin (/ x 2)) in x * [misc]taylor: Taking taylor expansion of (/ x 2) in x * [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 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (/ x 2)) in x * [misc]taylor: Taking taylor expansion of (/ x 2) in x * [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 1/2 into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 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 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (+ (* 2 (log x)) (log 1/2)) into (+ (log 1/2) (* 2 (log x))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log 1/2) (* 2 (log x)))) into (* 1/3 (+ (log 1/2) (* 2 (log x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log 1/2) (* 2 (log x))))) into (exp (* 1/3 (+ (log 1/2) (* 2 (log x))))) * [misc]taylor: Taking taylor expansion of (cbrt (* (tan (/ x 2)) (sin x))) in x * [misc]taylor: Rewrote expression to (pow (* (tan (/ x 2)) (sin x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (tan (/ x 2)) (sin x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (tan (/ x 2)) (sin x)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (tan (/ x 2)) (sin x))) in x * [misc]taylor: Taking taylor expansion of (* (tan (/ x 2)) (sin x)) in x * [misc]taylor: Taking taylor expansion of (tan (/ x 2)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ x 2)) (cos (/ x 2))) * [misc]taylor: Taking taylor expansion of (sin (/ x 2)) in x * [misc]taylor: Taking taylor expansion of (/ x 2) in x * [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 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (/ x 2)) in x * [misc]taylor: Taking taylor expansion of (/ x 2) in x * [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 1/2 into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 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 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (+ (* 2 (log x)) (log 1/2)) into (+ (log 1/2) (* 2 (log x))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log 1/2) (* 2 (log x)))) into (* 1/3 (+ (log 1/2) (* 2 (log x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log 1/2) (* 2 (log x))))) into (exp (* 1/3 (+ (log 1/2) (* 2 (log x))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log 1/2) (* 2 (log x))))) into (exp (* 1/3 (+ (log 1/2) (* 2 (log x))))) * [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 -1/8 into -1/8 * [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 (+ (* 2 (log x)) (log 1/2)) into (+ (log 1/2) (* 2 (log 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 -1/6 into -1/6 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 -1/12 into -1/12 * [misc]backup-simplify: Simplify (+ (* 2 (log x)) (log 1/2)) into (+ (log 1/2) (* 2 (log x))) * [misc]backup-simplify: Simplify -1/36 into -1/36 * [misc]backup-simplify: Simplify (* -1/36 (exp (* 1/3 (+ (log 1/2) (* 2 (log x)))))) into (* -1/36 (exp (* 1/3 (+ (log 1/2) (* 2 (log x)))))) * [misc]backup-simplify: Simplify (* -1/36 (exp (* 1/3 (+ (log 1/2) (* 2 (log x)))))) into (* -1/36 (exp (* 1/3 (+ (log 1/2) (* 2 (log x)))))) * [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 0 into 0 * [misc]backup-simplify: Simplify 1/384 into 1/384 * [misc]backup-simplify: Simplify 1/240 into 1/240 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 (log x)) (log 1/2)) into (+ (log 1/2) (* 2 (log 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 1/120 into 1/120 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1/720 into 1/720 * [misc]backup-simplify: Simplify -1/1440 into -1/1440 * [misc]backup-simplify: Simplify (+ (* 2 (log x)) (log 1/2)) into (+ (log 1/2) (* 2 (log x))) * [misc]backup-simplify: Simplify -1/4320 into -1/4320 * [misc]backup-simplify: Simplify (* 1/6480 (exp (* 1/3 (+ (log 1/2) (* 2 (log x)))))) into (* 1/6480 (exp (* 1/3 (+ (log 1/2) (* 2 (log x)))))) * [misc]backup-simplify: Simplify (* 1/6480 (exp (* 1/3 (+ (log 1/2) (* 2 (log x)))))) into (* 1/6480 (exp (* 1/3 (+ (log 1/2) (* 2 (log x)))))) * [misc]backup-simplify: Simplify (+ (* (* 1/6480 (exp (* 1/3 (+ (log 1/2) (* 2 (log x)))))) (pow x 4)) (+ (* (* -1/36 (exp (* 1/3 (+ (log 1/2) (* 2 (log x)))))) (pow x 2)) (exp (* 1/3 (+ (log 1/2) (* 2 (log x))))))) into (- (+ (* 1/6480 (* (exp (* 1/3 (+ (log 1/2) (* 2 (log x))))) (pow x 4))) (exp (* 1/3 (+ (log 1/2) (* 2 (log x)))))) (* 1/36 (* (exp (* 1/3 (+ (log 1/2) (* 2 (log x))))) (pow x 2)))) * [misc]approximate: Taking taylor expansion of (cbrt (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x)))) in x * [misc]taylor: Rewrote expression to (pow (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (tan (/ (/ 1 x) 2)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ (/ 1 x) 2)) (cos (/ (/ 1 x) 2))) * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 x) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) 2) 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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 x) 2)) into (sin (/ 1/2 x)) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 x) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) 2) 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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 x) 2)) into (cos (/ 1/2 x)) * [misc]backup-simplify: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (sin (/ 1 x))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) * [misc]backup-simplify: Simplify (log (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) into (log (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))) into (* 1/3 (log (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) into (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x)))) in x * [misc]taylor: Rewrote expression to (pow (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (tan (/ (/ 1 x) 2)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ (/ 1 x) 2)) (cos (/ (/ 1 x) 2))) * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 x) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) 2) 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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 x) 2)) into (sin (/ 1/2 x)) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 x) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) 2) 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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 x) 2)) into (cos (/ 1/2 x)) * [misc]backup-simplify: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (sin (/ 1 x))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) * [misc]backup-simplify: Simplify (log (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) into (log (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))) into (* 1/3 (log (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) into (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 1/3) * [misc]backup-simplify: Simplify (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 1/3) into (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 1/3) * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ 1/2 x))) (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 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 (cos (/ 1/2 x))) (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 2))) (/ 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))) 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 (cos (/ 1/2 x))) (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 3))) (+ (* -3 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 2))) (/ 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) 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 (cos (/ 1/2 x))) (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 4))) (+ (* 12 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 3))) (+ (* -3 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 2))) (+ (* -4 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 2))) (/ 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))))) 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 (cos (/ 1/2 x))) (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 5))) (+ (* -60 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 4))) (+ (* 30 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 3))) (+ (* 20 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 3))) (+ (* -10 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 2))) (+ (* -5 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 2))) (/ 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))))))) 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 (cos (/ 1/2 x))) (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 6))) (+ (* 360 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 5))) (+ (* -270 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 4))) (+ (* -120 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 4))) (+ (* 30 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 3))) (+ (* 120 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 3))) (+ (* 30 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 3))) (+ (* -10 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 2))) (+ (* -15 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 2))) (+ (* -6 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 2))) (/ 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))))))))))) 720) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (/ (* (sin (/ 1 (/ 1 x))) (sin (/ 1/2 (/ 1 x)))) (cos (/ 1/2 (/ 1 x)))) 1/3) into (pow (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x))) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x))))) in x * [misc]taylor: Rewrote expression to (pow (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (tan (/ (/ 1 (- x)) 2)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ (/ 1 (- x)) 2)) (cos (/ (/ 1 (- x)) 2))) * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 (- x)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) 2) 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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 (- x)) 2)) into (sin (/ -1/2 x)) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- x)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) 2) 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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- x)) 2)) into (cos (/ -1/2 x)) * [misc]backup-simplify: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (sin (/ -1 x))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) * [misc]backup-simplify: Simplify (log (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) into (log (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) into (* 1/3 (log (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x))))) in x * [misc]taylor: Rewrote expression to (pow (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (tan (/ (/ 1 (- x)) 2)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ (/ 1 (- x)) 2)) (cos (/ (/ 1 (- x)) 2))) * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 (- x)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) 2) 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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 (- x)) 2)) into (sin (/ -1/2 x)) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- x)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) 2) 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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- x)) 2)) into (cos (/ -1/2 x)) * [misc]backup-simplify: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (sin (/ -1 x))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) * [misc]backup-simplify: Simplify (log (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) into (log (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) into (* 1/3 (log (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 1/3) * [misc]backup-simplify: Simplify (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 1/3) into (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 1/3) * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ -1/2 x))) (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 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 (cos (/ -1/2 x))) (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 2))) (/ 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) 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 (cos (/ -1/2 x))) (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 3))) (+ (* -3 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 2))) (/ 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) 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 (cos (/ -1/2 x))) (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 4))) (+ (* 12 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 3))) (+ (* -3 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 2))) (+ (* -4 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 2))) (/ 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))))) 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 (cos (/ -1/2 x))) (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 5))) (+ (* -60 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 4))) (+ (* 30 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 3))) (+ (* 20 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 3))) (+ (* -10 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 2))) (+ (* -5 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 2))) (/ 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))))))) 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 (cos (/ -1/2 x))) (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 6))) (+ (* 360 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 5))) (+ (* -270 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 4))) (+ (* -120 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 4))) (+ (* 30 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 3))) (+ (* 120 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 3))) (+ (* 30 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 3))) (+ (* -10 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 2))) (+ (* -15 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 2))) (+ (* -6 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 2))) (/ 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))))))))))) 720) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (/ (* (sin (/ -1 (/ 1 (- x)))) (sin (/ -1/2 (/ 1 (- x))))) (cos (/ -1/2 (/ 1 (- x))))) 1/3) into (pow (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x))) 1/3) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2 1) * [misc]approximate: Taking taylor expansion of (cbrt (* (tan (/ x 2)) (sin x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* (tan (/ x 2)) (sin x))) in x * [misc]taylor: Rewrote expression to (pow (* (tan (/ x 2)) (sin x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (tan (/ x 2)) (sin x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (tan (/ x 2)) (sin x)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (tan (/ x 2)) (sin x))) in x * [misc]taylor: Taking taylor expansion of (* (tan (/ x 2)) (sin x)) in x * [misc]taylor: Taking taylor expansion of (tan (/ x 2)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ x 2)) (cos (/ x 2))) * [misc]taylor: Taking taylor expansion of (sin (/ x 2)) in x * [misc]taylor: Taking taylor expansion of (/ x 2) in x * [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 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (/ x 2)) in x * [misc]taylor: Taking taylor expansion of (/ x 2) in x * [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 1/2 into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 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 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (+ (* 2 (log x)) (log 1/2)) into (+ (log 1/2) (* 2 (log x))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log 1/2) (* 2 (log x)))) into (* 1/3 (+ (log 1/2) (* 2 (log x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log 1/2) (* 2 (log x))))) into (exp (* 1/3 (+ (log 1/2) (* 2 (log x))))) * [misc]taylor: Taking taylor expansion of (cbrt (* (tan (/ x 2)) (sin x))) in x * [misc]taylor: Rewrote expression to (pow (* (tan (/ x 2)) (sin x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (tan (/ x 2)) (sin x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (tan (/ x 2)) (sin x)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (tan (/ x 2)) (sin x))) in x * [misc]taylor: Taking taylor expansion of (* (tan (/ x 2)) (sin x)) in x * [misc]taylor: Taking taylor expansion of (tan (/ x 2)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ x 2)) (cos (/ x 2))) * [misc]taylor: Taking taylor expansion of (sin (/ x 2)) in x * [misc]taylor: Taking taylor expansion of (/ x 2) in x * [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 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (/ x 2)) in x * [misc]taylor: Taking taylor expansion of (/ x 2) in x * [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 1/2 into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 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 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (+ (* 2 (log x)) (log 1/2)) into (+ (log 1/2) (* 2 (log x))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log 1/2) (* 2 (log x)))) into (* 1/3 (+ (log 1/2) (* 2 (log x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log 1/2) (* 2 (log x))))) into (exp (* 1/3 (+ (log 1/2) (* 2 (log x))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log 1/2) (* 2 (log x))))) into (exp (* 1/3 (+ (log 1/2) (* 2 (log x))))) * [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 -1/8 into -1/8 * [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 (+ (* 2 (log x)) (log 1/2)) into (+ (log 1/2) (* 2 (log 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 -1/6 into -1/6 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 -1/12 into -1/12 * [misc]backup-simplify: Simplify (+ (* 2 (log x)) (log 1/2)) into (+ (log 1/2) (* 2 (log x))) * [misc]backup-simplify: Simplify -1/36 into -1/36 * [misc]backup-simplify: Simplify (* -1/36 (exp (* 1/3 (+ (log 1/2) (* 2 (log x)))))) into (* -1/36 (exp (* 1/3 (+ (log 1/2) (* 2 (log x)))))) * [misc]backup-simplify: Simplify (* -1/36 (exp (* 1/3 (+ (log 1/2) (* 2 (log x)))))) into (* -1/36 (exp (* 1/3 (+ (log 1/2) (* 2 (log x)))))) * [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 0 into 0 * [misc]backup-simplify: Simplify 1/384 into 1/384 * [misc]backup-simplify: Simplify 1/240 into 1/240 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 (log x)) (log 1/2)) into (+ (log 1/2) (* 2 (log 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 1/120 into 1/120 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1/720 into 1/720 * [misc]backup-simplify: Simplify -1/1440 into -1/1440 * [misc]backup-simplify: Simplify (+ (* 2 (log x)) (log 1/2)) into (+ (log 1/2) (* 2 (log x))) * [misc]backup-simplify: Simplify -1/4320 into -1/4320 * [misc]backup-simplify: Simplify (* 1/6480 (exp (* 1/3 (+ (log 1/2) (* 2 (log x)))))) into (* 1/6480 (exp (* 1/3 (+ (log 1/2) (* 2 (log x)))))) * [misc]backup-simplify: Simplify (* 1/6480 (exp (* 1/3 (+ (log 1/2) (* 2 (log x)))))) into (* 1/6480 (exp (* 1/3 (+ (log 1/2) (* 2 (log x)))))) * [misc]backup-simplify: Simplify (+ (* (* 1/6480 (exp (* 1/3 (+ (log 1/2) (* 2 (log x)))))) (pow x 4)) (+ (* (* -1/36 (exp (* 1/3 (+ (log 1/2) (* 2 (log x)))))) (pow x 2)) (exp (* 1/3 (+ (log 1/2) (* 2 (log x))))))) into (- (+ (* 1/6480 (* (exp (* 1/3 (+ (log 1/2) (* 2 (log x))))) (pow x 4))) (exp (* 1/3 (+ (log 1/2) (* 2 (log x)))))) (* 1/36 (* (exp (* 1/3 (+ (log 1/2) (* 2 (log x))))) (pow x 2)))) * [misc]approximate: Taking taylor expansion of (cbrt (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x)))) in x * [misc]taylor: Rewrote expression to (pow (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (tan (/ (/ 1 x) 2)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ (/ 1 x) 2)) (cos (/ (/ 1 x) 2))) * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 x) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) 2) 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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 x) 2)) into (sin (/ 1/2 x)) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 x) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) 2) 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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 x) 2)) into (cos (/ 1/2 x)) * [misc]backup-simplify: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (sin (/ 1 x))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) * [misc]backup-simplify: Simplify (log (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) into (log (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))) into (* 1/3 (log (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) into (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x)))) in x * [misc]taylor: Rewrote expression to (pow (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (tan (/ (/ 1 x) 2)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ (/ 1 x) 2)) (cos (/ (/ 1 x) 2))) * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 x) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) 2) 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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 x) 2)) into (sin (/ 1/2 x)) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 x) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) 2) 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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 x) 2)) into (cos (/ 1/2 x)) * [misc]backup-simplify: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (sin (/ 1 x))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) * [misc]backup-simplify: Simplify (log (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) into (log (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))) into (* 1/3 (log (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) into (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 1/3) * [misc]backup-simplify: Simplify (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 1/3) into (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 1/3) * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ 1/2 x))) (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 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 (cos (/ 1/2 x))) (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 2))) (/ 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))) 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 (cos (/ 1/2 x))) (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 3))) (+ (* -3 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 2))) (/ 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) 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 (cos (/ 1/2 x))) (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 4))) (+ (* 12 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 3))) (+ (* -3 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 2))) (+ (* -4 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 2))) (/ 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))))) 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 (cos (/ 1/2 x))) (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 5))) (+ (* -60 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 4))) (+ (* 30 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 3))) (+ (* 20 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 3))) (+ (* -10 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 2))) (+ (* -5 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 2))) (/ 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))))))) 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 (cos (/ 1/2 x))) (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 6))) (+ (* 360 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 5))) (+ (* -270 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 4))) (+ (* -120 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 4))) (+ (* 30 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 3))) (+ (* 120 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 3))) (+ (* 30 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 3))) (+ (* -10 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 2))) (+ (* -15 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 2))) (+ (* -6 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 2))) (/ 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))))))))))) 720) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (/ (* (sin (/ 1 (/ 1 x))) (sin (/ 1/2 (/ 1 x)))) (cos (/ 1/2 (/ 1 x)))) 1/3) into (pow (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x))) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x))))) in x * [misc]taylor: Rewrote expression to (pow (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (tan (/ (/ 1 (- x)) 2)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ (/ 1 (- x)) 2)) (cos (/ (/ 1 (- x)) 2))) * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 (- x)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) 2) 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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 (- x)) 2)) into (sin (/ -1/2 x)) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- x)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) 2) 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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- x)) 2)) into (cos (/ -1/2 x)) * [misc]backup-simplify: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (sin (/ -1 x))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) * [misc]backup-simplify: Simplify (log (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) into (log (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) into (* 1/3 (log (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x))))) in x * [misc]taylor: Rewrote expression to (pow (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (tan (/ (/ 1 (- x)) 2)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ (/ 1 (- x)) 2)) (cos (/ (/ 1 (- x)) 2))) * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 (- x)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) 2) 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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 (- x)) 2)) into (sin (/ -1/2 x)) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- x)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) 2) 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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- x)) 2)) into (cos (/ -1/2 x)) * [misc]backup-simplify: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (sin (/ -1 x))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) * [misc]backup-simplify: Simplify (log (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) into (log (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) into (* 1/3 (log (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 1/3) * [misc]backup-simplify: Simplify (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 1/3) into (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 1/3) * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ -1/2 x))) (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 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 (cos (/ -1/2 x))) (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 2))) (/ 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) 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 (cos (/ -1/2 x))) (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 3))) (+ (* -3 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 2))) (/ 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) 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 (cos (/ -1/2 x))) (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 4))) (+ (* 12 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 3))) (+ (* -3 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 2))) (+ (* -4 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 2))) (/ 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))))) 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 (cos (/ -1/2 x))) (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 5))) (+ (* -60 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 4))) (+ (* 30 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 3))) (+ (* 20 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 3))) (+ (* -10 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 2))) (+ (* -5 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 2))) (/ 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))))))) 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 (cos (/ -1/2 x))) (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 6))) (+ (* 360 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 5))) (+ (* -270 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 4))) (+ (* -120 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 4))) (+ (* 30 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 3))) (+ (* 120 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 3))) (+ (* 30 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 3))) (+ (* -10 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 2))) (+ (* -15 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 2))) (+ (* -6 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 2))) (/ 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))))))))))) 720) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (/ (* (sin (/ -1 (/ 1 (- x)))) (sin (/ -1/2 (/ 1 (- x))))) (cos (/ -1/2 (/ 1 (- x))))) 1/3) into (pow (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x))) 1/3) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (cbrt (* (tan (/ x 2)) (sin x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* (tan (/ x 2)) (sin x))) in x * [misc]taylor: Rewrote expression to (pow (* (tan (/ x 2)) (sin x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (tan (/ x 2)) (sin x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (tan (/ x 2)) (sin x)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (tan (/ x 2)) (sin x))) in x * [misc]taylor: Taking taylor expansion of (* (tan (/ x 2)) (sin x)) in x * [misc]taylor: Taking taylor expansion of (tan (/ x 2)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ x 2)) (cos (/ x 2))) * [misc]taylor: Taking taylor expansion of (sin (/ x 2)) in x * [misc]taylor: Taking taylor expansion of (/ x 2) in x * [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 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (/ x 2)) in x * [misc]taylor: Taking taylor expansion of (/ x 2) in x * [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 1/2 into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 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 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (+ (* 2 (log x)) (log 1/2)) into (+ (log 1/2) (* 2 (log x))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log 1/2) (* 2 (log x)))) into (* 1/3 (+ (log 1/2) (* 2 (log x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log 1/2) (* 2 (log x))))) into (exp (* 1/3 (+ (log 1/2) (* 2 (log x))))) * [misc]taylor: Taking taylor expansion of (cbrt (* (tan (/ x 2)) (sin x))) in x * [misc]taylor: Rewrote expression to (pow (* (tan (/ x 2)) (sin x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (tan (/ x 2)) (sin x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (tan (/ x 2)) (sin x)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (tan (/ x 2)) (sin x))) in x * [misc]taylor: Taking taylor expansion of (* (tan (/ x 2)) (sin x)) in x * [misc]taylor: Taking taylor expansion of (tan (/ x 2)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ x 2)) (cos (/ x 2))) * [misc]taylor: Taking taylor expansion of (sin (/ x 2)) in x * [misc]taylor: Taking taylor expansion of (/ x 2) in x * [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 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (/ x 2)) in x * [misc]taylor: Taking taylor expansion of (/ x 2) in x * [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 1/2 into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 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 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (+ (* 2 (log x)) (log 1/2)) into (+ (log 1/2) (* 2 (log x))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log 1/2) (* 2 (log x)))) into (* 1/3 (+ (log 1/2) (* 2 (log x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log 1/2) (* 2 (log x))))) into (exp (* 1/3 (+ (log 1/2) (* 2 (log x))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log 1/2) (* 2 (log x))))) into (exp (* 1/3 (+ (log 1/2) (* 2 (log x))))) * [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 -1/8 into -1/8 * [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 (+ (* 2 (log x)) (log 1/2)) into (+ (log 1/2) (* 2 (log 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 -1/6 into -1/6 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 -1/12 into -1/12 * [misc]backup-simplify: Simplify (+ (* 2 (log x)) (log 1/2)) into (+ (log 1/2) (* 2 (log x))) * [misc]backup-simplify: Simplify -1/36 into -1/36 * [misc]backup-simplify: Simplify (* -1/36 (exp (* 1/3 (+ (log 1/2) (* 2 (log x)))))) into (* -1/36 (exp (* 1/3 (+ (log 1/2) (* 2 (log x)))))) * [misc]backup-simplify: Simplify (* -1/36 (exp (* 1/3 (+ (log 1/2) (* 2 (log x)))))) into (* -1/36 (exp (* 1/3 (+ (log 1/2) (* 2 (log x)))))) * [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 0 into 0 * [misc]backup-simplify: Simplify 1/384 into 1/384 * [misc]backup-simplify: Simplify 1/240 into 1/240 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 (log x)) (log 1/2)) into (+ (log 1/2) (* 2 (log 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 1/120 into 1/120 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1/720 into 1/720 * [misc]backup-simplify: Simplify -1/1440 into -1/1440 * [misc]backup-simplify: Simplify (+ (* 2 (log x)) (log 1/2)) into (+ (log 1/2) (* 2 (log x))) * [misc]backup-simplify: Simplify -1/4320 into -1/4320 * [misc]backup-simplify: Simplify (* 1/6480 (exp (* 1/3 (+ (log 1/2) (* 2 (log x)))))) into (* 1/6480 (exp (* 1/3 (+ (log 1/2) (* 2 (log x)))))) * [misc]backup-simplify: Simplify (* 1/6480 (exp (* 1/3 (+ (log 1/2) (* 2 (log x)))))) into (* 1/6480 (exp (* 1/3 (+ (log 1/2) (* 2 (log x)))))) * [misc]backup-simplify: Simplify (+ (* (* 1/6480 (exp (* 1/3 (+ (log 1/2) (* 2 (log x)))))) (pow x 4)) (+ (* (* -1/36 (exp (* 1/3 (+ (log 1/2) (* 2 (log x)))))) (pow x 2)) (exp (* 1/3 (+ (log 1/2) (* 2 (log x))))))) into (- (+ (* 1/6480 (* (exp (* 1/3 (+ (log 1/2) (* 2 (log x))))) (pow x 4))) (exp (* 1/3 (+ (log 1/2) (* 2 (log x)))))) (* 1/36 (* (exp (* 1/3 (+ (log 1/2) (* 2 (log x))))) (pow x 2)))) * [misc]approximate: Taking taylor expansion of (cbrt (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x)))) in x * [misc]taylor: Rewrote expression to (pow (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (tan (/ (/ 1 x) 2)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ (/ 1 x) 2)) (cos (/ (/ 1 x) 2))) * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 x) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) 2) 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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 x) 2)) into (sin (/ 1/2 x)) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 x) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) 2) 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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 x) 2)) into (cos (/ 1/2 x)) * [misc]backup-simplify: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (sin (/ 1 x))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) * [misc]backup-simplify: Simplify (log (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) into (log (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))) into (* 1/3 (log (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) into (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x)))) in x * [misc]taylor: Rewrote expression to (pow (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (tan (/ (/ 1 x) 2)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ (/ 1 x) 2)) (cos (/ (/ 1 x) 2))) * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 x) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) 2) 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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 x) 2)) into (sin (/ 1/2 x)) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 x) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) 2) 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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 x) 2)) into (cos (/ 1/2 x)) * [misc]backup-simplify: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (sin (/ 1 x))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) * [misc]backup-simplify: Simplify (log (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) into (log (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))) into (* 1/3 (log (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) into (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 1/3) * [misc]backup-simplify: Simplify (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 1/3) into (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 1/3) * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ 1/2 x))) (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 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 (cos (/ 1/2 x))) (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 2))) (/ 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))) 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 (cos (/ 1/2 x))) (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 3))) (+ (* -3 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 2))) (/ 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) 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 (cos (/ 1/2 x))) (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 4))) (+ (* 12 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 3))) (+ (* -3 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 2))) (+ (* -4 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 2))) (/ 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))))) 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 (cos (/ 1/2 x))) (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 5))) (+ (* -60 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 4))) (+ (* 30 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 3))) (+ (* 20 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 3))) (+ (* -10 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 2))) (+ (* -5 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 2))) (/ 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))))))) 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 (cos (/ 1/2 x))) (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 6))) (+ (* 360 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 5))) (+ (* -270 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 4))) (+ (* -120 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 4))) (+ (* 30 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 3))) (+ (* 120 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 3))) (+ (* 30 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 3))) (+ (* -10 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 2))) (+ (* -15 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 2))) (+ (* -6 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 2))) (/ 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))))))))))) 720) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (/ (* (sin (/ 1 (/ 1 x))) (sin (/ 1/2 (/ 1 x)))) (cos (/ 1/2 (/ 1 x)))) 1/3) into (pow (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x))) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x))))) in x * [misc]taylor: Rewrote expression to (pow (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (tan (/ (/ 1 (- x)) 2)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ (/ 1 (- x)) 2)) (cos (/ (/ 1 (- x)) 2))) * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 (- x)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) 2) 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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 (- x)) 2)) into (sin (/ -1/2 x)) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- x)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) 2) 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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- x)) 2)) into (cos (/ -1/2 x)) * [misc]backup-simplify: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (sin (/ -1 x))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) * [misc]backup-simplify: Simplify (log (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) into (log (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) into (* 1/3 (log (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x))))) in x * [misc]taylor: Rewrote expression to (pow (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (tan (/ (/ 1 (- x)) 2)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ (/ 1 (- x)) 2)) (cos (/ (/ 1 (- x)) 2))) * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 (- x)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) 2) 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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 (- x)) 2)) into (sin (/ -1/2 x)) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- x)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) 2) 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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- x)) 2)) into (cos (/ -1/2 x)) * [misc]backup-simplify: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (sin (/ -1 x))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) * [misc]backup-simplify: Simplify (log (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) into (log (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) into (* 1/3 (log (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 1/3) * [misc]backup-simplify: Simplify (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 1/3) into (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 1/3) * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ -1/2 x))) (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 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 (cos (/ -1/2 x))) (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 2))) (/ 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) 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 (cos (/ -1/2 x))) (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 3))) (+ (* -3 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 2))) (/ 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) 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 (cos (/ -1/2 x))) (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 4))) (+ (* 12 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 3))) (+ (* -3 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 2))) (+ (* -4 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 2))) (/ 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))))) 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 (cos (/ -1/2 x))) (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 5))) (+ (* -60 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 4))) (+ (* 30 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 3))) (+ (* 20 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 3))) (+ (* -10 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 2))) (+ (* -5 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 2))) (/ 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))))))) 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 (cos (/ -1/2 x))) (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 6))) (+ (* 360 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 5))) (+ (* -270 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 4))) (+ (* -120 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 4))) (+ (* 30 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 3))) (+ (* 120 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 3))) (+ (* 30 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 3))) (+ (* -10 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 2))) (+ (* -15 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 2))) (+ (* -6 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 2))) (/ 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))))))))))) 720) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (/ (* (sin (/ -1 (/ 1 (- x)))) (sin (/ -1/2 (/ 1 (- x))))) (cos (/ -1/2 (/ 1 (- x))))) 1/3) into (pow (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x))) 1/3) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (* (cbrt (* (tan (/ x 2)) (sin x))) (/ (cbrt (* (tan (/ x 2)) (sin x))) x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (* (tan (/ x 2)) (sin x))) (/ (cbrt (* (tan (/ x 2)) (sin x))) x)) in x * [misc]taylor: Taking taylor expansion of (cbrt (* (tan (/ x 2)) (sin x))) in x * [misc]taylor: Rewrote expression to (pow (* (tan (/ x 2)) (sin x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (tan (/ x 2)) (sin x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (tan (/ x 2)) (sin x)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (tan (/ x 2)) (sin x))) in x * [misc]taylor: Taking taylor expansion of (* (tan (/ x 2)) (sin x)) in x * [misc]taylor: Taking taylor expansion of (tan (/ x 2)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ x 2)) (cos (/ x 2))) * [misc]taylor: Taking taylor expansion of (sin (/ x 2)) in x * [misc]taylor: Taking taylor expansion of (/ x 2) in x * [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 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (/ x 2)) in x * [misc]taylor: Taking taylor expansion of (/ x 2) in x * [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 1/2 into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 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 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (+ (* 2 (log x)) (log 1/2)) into (+ (log 1/2) (* 2 (log x))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log 1/2) (* 2 (log x)))) into (* 1/3 (+ (log 1/2) (* 2 (log x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log 1/2) (* 2 (log x))))) into (exp (* 1/3 (+ (log 1/2) (* 2 (log x))))) * [misc]taylor: Taking taylor expansion of (/ (cbrt (* (tan (/ x 2)) (sin x))) x) in x * [misc]taylor: Taking taylor expansion of (cbrt (* (tan (/ x 2)) (sin x))) in x * [misc]taylor: Rewrote expression to (pow (* (tan (/ x 2)) (sin x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (tan (/ x 2)) (sin x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (tan (/ x 2)) (sin x)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (tan (/ x 2)) (sin x))) in x * [misc]taylor: Taking taylor expansion of (* (tan (/ x 2)) (sin x)) in x * [misc]taylor: Taking taylor expansion of (tan (/ x 2)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ x 2)) (cos (/ x 2))) * [misc]taylor: Taking taylor expansion of (sin (/ x 2)) in x * [misc]taylor: Taking taylor expansion of (/ x 2) in x * [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 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (/ x 2)) in x * [misc]taylor: Taking taylor expansion of (/ x 2) in x * [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 1/2 into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 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 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (+ (* 2 (log x)) (log 1/2)) into (+ (log 1/2) (* 2 (log x))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log 1/2) (* 2 (log x)))) into (* 1/3 (+ (log 1/2) (* 2 (log x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log 1/2) (* 2 (log x))))) into (exp (* 1/3 (+ (log 1/2) (* 2 (log x))))) * [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 (exp (* 1/3 (+ (log 1/2) (* 2 (log x))))) into (exp (* 1/3 (+ (log 1/2) (* 2 (log x))))) * [misc]taylor: Taking taylor expansion of (* (cbrt (* (tan (/ x 2)) (sin x))) (/ (cbrt (* (tan (/ x 2)) (sin x))) x)) in x * [misc]taylor: Taking taylor expansion of (cbrt (* (tan (/ x 2)) (sin x))) in x * [misc]taylor: Rewrote expression to (pow (* (tan (/ x 2)) (sin x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (tan (/ x 2)) (sin x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (tan (/ x 2)) (sin x)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (tan (/ x 2)) (sin x))) in x * [misc]taylor: Taking taylor expansion of (* (tan (/ x 2)) (sin x)) in x * [misc]taylor: Taking taylor expansion of (tan (/ x 2)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ x 2)) (cos (/ x 2))) * [misc]taylor: Taking taylor expansion of (sin (/ x 2)) in x * [misc]taylor: Taking taylor expansion of (/ x 2) in x * [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 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (/ x 2)) in x * [misc]taylor: Taking taylor expansion of (/ x 2) in x * [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 1/2 into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 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 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (+ (* 2 (log x)) (log 1/2)) into (+ (log 1/2) (* 2 (log x))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log 1/2) (* 2 (log x)))) into (* 1/3 (+ (log 1/2) (* 2 (log x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log 1/2) (* 2 (log x))))) into (exp (* 1/3 (+ (log 1/2) (* 2 (log x))))) * [misc]taylor: Taking taylor expansion of (/ (cbrt (* (tan (/ x 2)) (sin x))) x) in x * [misc]taylor: Taking taylor expansion of (cbrt (* (tan (/ x 2)) (sin x))) in x * [misc]taylor: Rewrote expression to (pow (* (tan (/ x 2)) (sin x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (tan (/ x 2)) (sin x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (tan (/ x 2)) (sin x)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (tan (/ x 2)) (sin x))) in x * [misc]taylor: Taking taylor expansion of (* (tan (/ x 2)) (sin x)) in x * [misc]taylor: Taking taylor expansion of (tan (/ x 2)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ x 2)) (cos (/ x 2))) * [misc]taylor: Taking taylor expansion of (sin (/ x 2)) in x * [misc]taylor: Taking taylor expansion of (/ x 2) in x * [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 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (/ x 2)) in x * [misc]taylor: Taking taylor expansion of (/ x 2) in x * [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 1/2 into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 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 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (+ (* 2 (log x)) (log 1/2)) into (+ (log 1/2) (* 2 (log x))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log 1/2) (* 2 (log x)))) into (* 1/3 (+ (log 1/2) (* 2 (log x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log 1/2) (* 2 (log x))))) into (exp (* 1/3 (+ (log 1/2) (* 2 (log x))))) * [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 (exp (* 1/3 (+ (log 1/2) (* 2 (log x))))) into (exp (* 1/3 (+ (log 1/2) (* 2 (log x))))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 1/2) (* 2 (log x))))) (exp (* 1/3 (+ (log 1/2) (* 2 (log x)))))) into (pow (exp (* 1/3 (+ (log 1/2) (* 2 (log x))))) 2) * [misc]backup-simplify: Simplify (pow (exp (* 1/3 (+ (log 1/2) (* 2 (log x))))) 2) into (pow (exp (* 1/3 (+ (log 1/2) (* 2 (log x))))) 2) * [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 -1/8 into -1/8 * [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 (+ (* 2 (log x)) (log 1/2)) into (+ (log 1/2) (* 2 (log 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 -1/48 into -1/48 * [misc]backup-simplify: Simplify -1/8 into -1/8 * [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 (+ (* 2 (log x)) (log 1/2)) into (+ (log 1/2) (* 2 (log 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 -1/6 into -1/6 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 -1/12 into -1/12 * [misc]backup-simplify: Simplify (+ (* 2 (log x)) (log 1/2)) into (+ (log 1/2) (* 2 (log x))) * [misc]backup-simplify: Simplify -1/36 into -1/36 * [misc]backup-simplify: Simplify (* -1/36 (exp (* 1/3 (+ (log 1/2) (* 2 (log x)))))) into (* -1/36 (exp (* 1/3 (+ (log 1/2) (* 2 (log x)))))) * [misc]backup-simplify: Simplify (* -1/36 (exp (* 1/3 (+ (log 1/2) (* 2 (log x)))))) into (* -1/36 (exp (* 1/3 (+ (log 1/2) (* 2 (log x)))))) * [misc]backup-simplify: Simplify -1/6 into -1/6 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 -1/12 into -1/12 * [misc]backup-simplify: Simplify (+ (* 2 (log x)) (log 1/2)) into (+ (log 1/2) (* 2 (log x))) * [misc]backup-simplify: Simplify -1/36 into -1/36 * [misc]backup-simplify: Simplify (* -1/36 (exp (* 1/3 (+ (log 1/2) (* 2 (log x)))))) into (* -1/36 (exp (* 1/3 (+ (log 1/2) (* 2 (log x)))))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log 1/2) (* 2 (log x))))) (* -1/36 (exp (* 1/3 (+ (log 1/2) (* 2 (log x))))))) (* (* -1/36 (exp (* 1/3 (+ (log 1/2) (* 2 (log x)))))) (exp (* 1/3 (+ (log 1/2) (* 2 (log x))))))) into (- (* 1/18 (pow (exp (* 1/3 (+ (log 1/2) (* 2 (log x))))) 2))) * [misc]backup-simplify: Simplify (- (* 1/18 (pow (exp (* 1/3 (+ (log 1/2) (* 2 (log x))))) 2))) into (- (* 1/18 (pow (exp (* 1/3 (+ (log 1/2) (* 2 (log x))))) 2))) * [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 0 into 0 * [misc]backup-simplify: Simplify 1/384 into 1/384 * [misc]backup-simplify: Simplify 1/240 into 1/240 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 (log x)) (log 1/2)) into (+ (log 1/2) (* 2 (log 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 1/3840 into 1/3840 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1/384 into 1/384 * [misc]backup-simplify: Simplify 1/240 into 1/240 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 (log x)) (log 1/2)) into (+ (log 1/2) (* 2 (log 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 1/120 into 1/120 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1/720 into 1/720 * [misc]backup-simplify: Simplify -1/1440 into -1/1440 * [misc]backup-simplify: Simplify (+ (* 2 (log x)) (log 1/2)) into (+ (log 1/2) (* 2 (log x))) * [misc]backup-simplify: Simplify -1/4320 into -1/4320 * [misc]backup-simplify: Simplify (* 1/6480 (exp (* 1/3 (+ (log 1/2) (* 2 (log x)))))) into (* 1/6480 (exp (* 1/3 (+ (log 1/2) (* 2 (log x)))))) * [misc]backup-simplify: Simplify (* 1/6480 (exp (* 1/3 (+ (log 1/2) (* 2 (log x)))))) into (* 1/6480 (exp (* 1/3 (+ (log 1/2) (* 2 (log x)))))) * [misc]backup-simplify: Simplify 1/120 into 1/120 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1/720 into 1/720 * [misc]backup-simplify: Simplify -1/1440 into -1/1440 * [misc]backup-simplify: Simplify (+ (* 2 (log x)) (log 1/2)) into (+ (log 1/2) (* 2 (log x))) * [misc]backup-simplify: Simplify -1/4320 into -1/4320 * [misc]backup-simplify: Simplify (* 1/6480 (exp (* 1/3 (+ (log 1/2) (* 2 (log x)))))) into (* 1/6480 (exp (* 1/3 (+ (log 1/2) (* 2 (log x)))))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log 1/2) (* 2 (log x))))) (* 1/6480 (exp (* 1/3 (+ (log 1/2) (* 2 (log x))))))) (+ (* (* -1/36 (exp (* 1/3 (+ (log 1/2) (* 2 (log x)))))) (* -1/36 (exp (* 1/3 (+ (log 1/2) (* 2 (log x))))))) (* (* 1/6480 (exp (* 1/3 (+ (log 1/2) (* 2 (log x)))))) (exp (* 1/3 (+ (log 1/2) (* 2 (log x)))))))) into (* 7/6480 (pow (exp (* 1/3 (+ (log 1/2) (* 2 (log x))))) 2)) * [misc]backup-simplify: Simplify (* 7/6480 (pow (exp (* 1/3 (+ (log 1/2) (* 2 (log x))))) 2)) into (* 7/6480 (pow (exp (* 1/3 (+ (log 1/2) (* 2 (log x))))) 2)) * [misc]backup-simplify: Simplify (+ (* (* 7/6480 (pow (exp (* 1/3 (+ (log 1/2) (* 2 (log x))))) 2)) (pow x 3)) (+ (* (- (* 1/18 (pow (exp (* 1/3 (+ (log 1/2) (* 2 (log x))))) 2))) x) (* (pow (exp (* 1/3 (+ (log 1/2) (* 2 (log x))))) 2) (/ 1 x)))) into (- (+ (/ (pow (exp (* 1/3 (+ (log 1/2) (* 2 (log x))))) 2) x) (* 7/6480 (* (pow (exp (* 1/3 (+ (log 1/2) (* 2 (log x))))) 2) (pow x 3)))) (* 1/18 (* (pow (exp (* 1/3 (+ (log 1/2) (* 2 (log x))))) 2) x))) * [misc]approximate: Taking taylor expansion of (* (cbrt (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x)))) (/ (cbrt (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x)))) (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x)))) (/ (cbrt (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x)))) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (cbrt (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x)))) in x * [misc]taylor: Rewrote expression to (pow (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (tan (/ (/ 1 x) 2)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ (/ 1 x) 2)) (cos (/ (/ 1 x) 2))) * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 x) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) 2) 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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 x) 2)) into (sin (/ 1/2 x)) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 x) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) 2) 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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 x) 2)) into (cos (/ 1/2 x)) * [misc]backup-simplify: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (sin (/ 1 x))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) * [misc]backup-simplify: Simplify (log (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) into (log (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))) into (* 1/3 (log (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) into (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 1/3) * [misc]taylor: Taking taylor expansion of (/ (cbrt (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x)))) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (cbrt (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x)))) in x * [misc]taylor: Rewrote expression to (pow (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (tan (/ (/ 1 x) 2)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ (/ 1 x) 2)) (cos (/ (/ 1 x) 2))) * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 x) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) 2) 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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 x) 2)) into (sin (/ 1/2 x)) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 x) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) 2) 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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 x) 2)) into (cos (/ 1/2 x)) * [misc]backup-simplify: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (sin (/ 1 x))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) * [misc]backup-simplify: Simplify (log (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) into (log (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))) into (* 1/3 (log (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) into (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 1/3) * [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 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 1/3) into (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 1/3) * [misc]taylor: Taking taylor expansion of (* (cbrt (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x)))) (/ (cbrt (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x)))) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (cbrt (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x)))) in x * [misc]taylor: Rewrote expression to (pow (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (tan (/ (/ 1 x) 2)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ (/ 1 x) 2)) (cos (/ (/ 1 x) 2))) * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 x) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) 2) 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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 x) 2)) into (sin (/ 1/2 x)) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 x) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) 2) 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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 x) 2)) into (cos (/ 1/2 x)) * [misc]backup-simplify: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (sin (/ 1 x))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) * [misc]backup-simplify: Simplify (log (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) into (log (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))) into (* 1/3 (log (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) into (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 1/3) * [misc]taylor: Taking taylor expansion of (/ (cbrt (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x)))) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (cbrt (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x)))) in x * [misc]taylor: Rewrote expression to (pow (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* (tan (/ (/ 1 x) 2)) (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (tan (/ (/ 1 x) 2)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ (/ 1 x) 2)) (cos (/ (/ 1 x) 2))) * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 x) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) 2) 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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 x) 2)) into (sin (/ 1/2 x)) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 x) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) 2) 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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 x) 2)) into (cos (/ 1/2 x)) * [misc]backup-simplify: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (sin (/ 1 x))) into (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) * [misc]backup-simplify: Simplify (log (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) into (log (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))) into (* 1/3 (log (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) into (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 1/3) * [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 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 1/3) into (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 1/3) * [misc]backup-simplify: Simplify (* (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 1/3) (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 1/3)) into (pow (/ (* (pow (sin (/ 1/2 x)) 2) (pow (sin (/ 1 x)) 2)) (pow (cos (/ 1/2 x)) 2)) 1/3) * [misc]backup-simplify: Simplify (pow (/ (* (pow (sin (/ 1/2 x)) 2) (pow (sin (/ 1 x)) 2)) (pow (cos (/ 1/2 x)) 2)) 1/3) into (pow (/ (* (pow (sin (/ 1/2 x)) 2) (pow (sin (/ 1 x)) 2)) (pow (cos (/ 1/2 x)) 2)) 1/3) * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ 1/2 x))) (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 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 (cos (/ 1/2 x))) (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 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 (cos (/ 1/2 x))) (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 2))) (/ 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))) 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 (cos (/ 1/2 x))) (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 2))) (/ 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))))) 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 (cos (/ 1/2 x))) (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 3))) (+ (* -3 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 2))) (/ 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) 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 (cos (/ 1/2 x))) (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 3))) (+ (* -3 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 2))) (/ 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))) 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 (cos (/ 1/2 x))) (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 4))) (+ (* 12 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 3))) (+ (* -3 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 2))) (+ (* -4 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 2))) (/ 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))))) 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 (cos (/ 1/2 x))) (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 4))) (+ (* 12 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 3))) (+ (* -3 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 2))) (+ (* -4 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 2))) (/ 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))))) 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 (cos (/ 1/2 x))) (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 5))) (+ (* -60 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 4))) (+ (* 30 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 3))) (+ (* 20 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 3))) (+ (* -10 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 2))) (+ (* -5 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 2))) (/ 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))))))) 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 (cos (/ 1/2 x))) (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 5))) (+ (* -60 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 4))) (+ (* 30 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 3))) (+ (* 20 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 3))) (+ (* -10 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 2))) (+ (* -5 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 2))) (/ 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))))))) 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 (cos (/ 1/2 x))) (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 6))) (+ (* 360 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 5))) (+ (* -270 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 4))) (+ (* -120 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 4))) (+ (* 30 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 3))) (+ (* 120 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 3))) (+ (* 30 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 3))) (+ (* -10 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 2))) (+ (* -15 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 2))) (+ (* -6 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 2))) (/ 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))))))))))) 720) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ 1/2 x))) (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 6))) (+ (* 360 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 5))) (+ (* -270 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 4))) (+ (* -120 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 4))) (+ (* 30 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 3))) (+ (* 120 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 3))) (+ (* 30 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 3))) (+ (* -10 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 2))) (+ (* -15 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 2))) (+ (* -6 (/ 0 (pow (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x))) 2))) (/ 0 (/ (* (sin (/ 1 x)) (sin (/ 1/2 x))) (cos (/ 1/2 x)))))))))))))) 720) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (pow (/ (* (pow (sin (/ 1/2 (/ 1 x))) 2) (pow (sin (/ 1 (/ 1 x))) 2)) (pow (cos (/ 1/2 (/ 1 x))) 2)) 1/3) (/ 1 x)) into (* (pow (/ (* (pow (sin x) 2) (pow (sin (* 1/2 x)) 2)) (pow (cos (* 1/2 x)) 2)) 1/3) (/ 1 x)) * [misc]approximate: Taking taylor expansion of (* (cbrt (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x))))) (/ (cbrt (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x))))) (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x))))) (/ (cbrt (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x))))) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (cbrt (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x))))) in x * [misc]taylor: Rewrote expression to (pow (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (tan (/ (/ 1 (- x)) 2)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ (/ 1 (- x)) 2)) (cos (/ (/ 1 (- x)) 2))) * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 (- x)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) 2) 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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 (- x)) 2)) into (sin (/ -1/2 x)) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- x)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) 2) 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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- x)) 2)) into (cos (/ -1/2 x)) * [misc]backup-simplify: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (sin (/ -1 x))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) * [misc]backup-simplify: Simplify (log (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) into (log (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) into (* 1/3 (log (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 1/3) * [misc]taylor: Taking taylor expansion of (/ (cbrt (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x))))) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (cbrt (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x))))) in x * [misc]taylor: Rewrote expression to (pow (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (tan (/ (/ 1 (- x)) 2)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ (/ 1 (- x)) 2)) (cos (/ (/ 1 (- x)) 2))) * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 (- x)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) 2) 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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 (- x)) 2)) into (sin (/ -1/2 x)) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- x)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) 2) 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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- x)) 2)) into (cos (/ -1/2 x)) * [misc]backup-simplify: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (sin (/ -1 x))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) * [misc]backup-simplify: Simplify (log (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) into (log (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) into (* 1/3 (log (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 1/3) * [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 (/ (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 1/3) -1) into (* -1 (pow (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))) 1/3)) * [misc]taylor: Taking taylor expansion of (* (cbrt (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x))))) (/ (cbrt (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x))))) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (cbrt (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x))))) in x * [misc]taylor: Rewrote expression to (pow (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (tan (/ (/ 1 (- x)) 2)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ (/ 1 (- x)) 2)) (cos (/ (/ 1 (- x)) 2))) * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 (- x)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) 2) 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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 (- x)) 2)) into (sin (/ -1/2 x)) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- x)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) 2) 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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- x)) 2)) into (cos (/ -1/2 x)) * [misc]backup-simplify: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (sin (/ -1 x))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) * [misc]backup-simplify: Simplify (log (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) into (log (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) into (* 1/3 (log (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 1/3) * [misc]taylor: Taking taylor expansion of (/ (cbrt (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x))))) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (cbrt (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x))))) in x * [misc]taylor: Rewrote expression to (pow (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (* (tan (/ (/ 1 (- x)) 2)) (sin (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (tan (/ (/ 1 (- x)) 2)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ (/ 1 (- x)) 2)) (cos (/ (/ 1 (- x)) 2))) * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 (- x)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) 2) 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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 (- x)) 2)) into (sin (/ -1/2 x)) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- x)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) 2) 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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- x)) 2)) into (cos (/ -1/2 x)) * [misc]backup-simplify: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (sin (/ -1 x))) into (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) * [misc]backup-simplify: Simplify (log (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) into (log (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) into (* 1/3 (log (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) into (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 1/3) * [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 (/ (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 1/3) -1) into (* -1 (pow (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))) 1/3)) * [misc]backup-simplify: Simplify (* (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 1/3) (* -1 (pow (/ (* (sin (/ -1/2 x)) (sin (/ -1 x))) (cos (/ -1/2 x))) 1/3))) into (* -1 (pow (/ (* (pow (sin (/ -1/2 x)) 2) (pow (sin (/ -1 x)) 2)) (pow (cos (/ -1/2 x)) 2)) 1/3)) * [misc]backup-simplify: Simplify (* -1 (pow (/ (* (pow (sin (/ -1/2 x)) 2) (pow (sin (/ -1 x)) 2)) (pow (cos (/ -1/2 x)) 2)) 1/3)) into (* -1 (pow (/ (* (pow (sin (/ -1 x)) 2) (pow (sin (/ -1/2 x)) 2)) (pow (cos (/ -1/2 x)) 2)) 1/3)) * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ -1/2 x))) (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 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 -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ -1/2 x))) (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 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 (cos (/ -1/2 x))) (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 2))) (/ 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) 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 -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 (cos (/ -1/2 x))) (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 2))) (/ 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))))) 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 (cos (/ -1/2 x))) (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 3))) (+ (* -3 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 2))) (/ 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) 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 -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 (cos (/ -1/2 x))) (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 3))) (+ (* -3 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 2))) (/ 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))) 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 (cos (/ -1/2 x))) (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 4))) (+ (* 12 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 3))) (+ (* -3 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 2))) (+ (* -4 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 2))) (/ 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))))) 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 -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 (cos (/ -1/2 x))) (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 4))) (+ (* 12 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 3))) (+ (* -3 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 2))) (+ (* -4 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 2))) (/ 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))))) 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 (cos (/ -1/2 x))) (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 5))) (+ (* -60 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 4))) (+ (* 30 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 3))) (+ (* 20 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 3))) (+ (* -10 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 2))) (+ (* -5 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 2))) (/ 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))))))) 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 -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ -1/2 x))) (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 5))) (+ (* -60 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 4))) (+ (* 30 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 3))) (+ (* 20 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 3))) (+ (* -10 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 2))) (+ (* -5 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 2))) (/ 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))))))) 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 (cos (/ -1/2 x))) (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 6))) (+ (* 360 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 5))) (+ (* -270 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 4))) (+ (* -120 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 4))) (+ (* 30 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 3))) (+ (* 120 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 3))) (+ (* 30 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 3))) (+ (* -10 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 2))) (+ (* -15 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 2))) (+ (* -6 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 2))) (/ 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))))))))))) 720) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (cos (/ -1/2 x))) (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 6))) (+ (* 360 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 5))) (+ (* -270 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 4))) (+ (* -120 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 4))) (+ (* 30 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 3))) (+ (* 120 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 3))) (+ (* 30 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 3))) (+ (* -10 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 2))) (+ (* -15 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 2))) (+ (* -6 (/ 0 (pow (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x))) 2))) (/ 0 (/ (* (sin (/ -1 x)) (sin (/ -1/2 x))) (cos (/ -1/2 x)))))))))))))) 720) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -1 (pow (/ (* (pow (sin (/ -1 (/ 1 (- x)))) 2) (pow (sin (/ -1/2 (/ 1 (- x)))) 2)) (pow (cos (/ -1/2 (/ 1 (- x)))) 2)) 1/3)) (/ 1 (- x))) into (* (pow (/ (* (pow (sin x) 2) (pow (sin (* 1/2 x)) 2)) (pow (cos (* 1/2 x)) 2)) 1/3) (/ 1 x)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (cbrt (* (tan (/ x 2)) (sin x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (expm1 (cbrt (* (tan (/ x 2)) (sin x)))) * [exit]simplify: Simplified to (expm1 (cbrt (* (tan (/ x 2)) (sin x)))) * * * * [misc]progress: [ 2 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (cbrt (* (tan (/ x 2)) (sin x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (log1p (cbrt (* (tan (/ x 2)) (sin x)))) * [exit]simplify: Simplified to (log1p (cbrt (* (tan (/ x 2)) (sin x)))) * * * * [misc]progress: [ 3 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (* (tan (/ x 2)) (sin x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (log (cbrt (* (tan (/ x 2)) (sin x)))) * [exit]simplify: Simplified to (log (cbrt (* (tan (/ x 2)) (sin x)))) * * * * [misc]progress: [ 6 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (* (tan (/ x 2)) (sin x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (exp (cbrt (* (tan (/ x 2)) (sin x)))) * [exit]simplify: Simplified to (exp (cbrt (* (tan (/ x 2)) (sin x)))) * * * * [misc]progress: [ 7 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (tan (/ x 2))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (cbrt (tan (/ x 2))) * [exit]simplify: Simplified to (cbrt (tan (/ x 2))) * [enter]simplify: Simplifying (cbrt (sin x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (sin x)) * [exit]simplify: Simplified to (cbrt (sin x)) * * * * [misc]progress: [ 8 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sin (/ x 2)) (sin x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (cbrt (* (sin (/ x 2)) (sin x))) * [exit]simplify: Simplified to (cbrt (* (sin (/ x 2)) (sin x))) * [enter]simplify: Simplifying (cbrt (cos (/ x 2))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (cbrt (cos (/ x 2))) * [exit]simplify: Simplified to (cbrt (cos (/ x 2))) * * * * [misc]progress: [ 9 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (* (tan (/ x 2)) (sin x)))) (cbrt (cbrt (* (tan (/ x 2)) (sin x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (* (tan (/ x 2)) (sin x)))) (cbrt (cbrt (* (tan (/ x 2)) (sin x))))) * [exit]simplify: Simplified to (* (cbrt (cbrt (* (tan (/ x 2)) (sin x)))) (cbrt (cbrt (* (tan (/ x 2)) (sin x))))) * [enter]simplify: Simplifying (cbrt (cbrt (* (tan (/ x 2)) (sin x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (* (tan (/ x 2)) (sin x)))) * [exit]simplify: Simplified to (cbrt (cbrt (* (tan (/ x 2)) (sin x)))) * * * * [misc]progress: [ 10 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (* (tan (/ x 2)) (sin x))) (cbrt (* (tan (/ x 2)) (sin x)))) (cbrt (* (tan (/ x 2)) (sin x)))) * * [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 (* (tan (/ x 2)) (sin x)) * [exit]simplify: Simplified to (* (tan (/ x 2)) (sin x)) * * * * [misc]progress: [ 11 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (* (tan (/ x 2)) (sin x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (* (tan (/ x 2)) (sin x)))) * [exit]simplify: Simplified to (sqrt (cbrt (* (tan (/ x 2)) (sin x)))) * [enter]simplify: Simplifying (sqrt (cbrt (* (tan (/ x 2)) (sin x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (* (tan (/ x 2)) (sin x)))) * [exit]simplify: Simplified to (sqrt (cbrt (* (tan (/ x 2)) (sin x)))) * * * * [misc]progress: [ 12 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (cbrt (* (tan (/ x 2)) (sin x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (expm1 (cbrt (* (tan (/ x 2)) (sin x)))) * [exit]simplify: Simplified to (expm1 (cbrt (* (tan (/ x 2)) (sin x)))) * * * * [misc]progress: [ 14 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (cbrt (* (tan (/ x 2)) (sin x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (log1p (cbrt (* (tan (/ x 2)) (sin x)))) * [exit]simplify: Simplified to (log1p (cbrt (* (tan (/ x 2)) (sin x)))) * * * * [misc]progress: [ 15 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (* (tan (/ x 2)) (sin x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (log (cbrt (* (tan (/ x 2)) (sin x)))) * [exit]simplify: Simplified to (log (cbrt (* (tan (/ x 2)) (sin x)))) * * * * [misc]progress: [ 18 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (* (tan (/ x 2)) (sin x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (exp (cbrt (* (tan (/ x 2)) (sin x)))) * [exit]simplify: Simplified to (exp (cbrt (* (tan (/ x 2)) (sin x)))) * * * * [misc]progress: [ 19 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (tan (/ x 2))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (cbrt (tan (/ x 2))) * [exit]simplify: Simplified to (cbrt (tan (/ x 2))) * [enter]simplify: Simplifying (cbrt (sin x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (sin x)) * [exit]simplify: Simplified to (cbrt (sin x)) * * * * [misc]progress: [ 20 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sin (/ x 2)) (sin x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (cbrt (* (sin (/ x 2)) (sin x))) * [exit]simplify: Simplified to (cbrt (* (sin (/ x 2)) (sin x))) * [enter]simplify: Simplifying (cbrt (cos (/ x 2))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (cbrt (cos (/ x 2))) * [exit]simplify: Simplified to (cbrt (cos (/ x 2))) * * * * [misc]progress: [ 21 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (* (tan (/ x 2)) (sin x)))) (cbrt (cbrt (* (tan (/ x 2)) (sin x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (* (tan (/ x 2)) (sin x)))) (cbrt (cbrt (* (tan (/ x 2)) (sin x))))) * [exit]simplify: Simplified to (* (cbrt (cbrt (* (tan (/ x 2)) (sin x)))) (cbrt (cbrt (* (tan (/ x 2)) (sin x))))) * [enter]simplify: Simplifying (cbrt (cbrt (* (tan (/ x 2)) (sin x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (* (tan (/ x 2)) (sin x)))) * [exit]simplify: Simplified to (cbrt (cbrt (* (tan (/ x 2)) (sin x)))) * * * * [misc]progress: [ 22 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (* (tan (/ x 2)) (sin x))) (cbrt (* (tan (/ x 2)) (sin x)))) (cbrt (* (tan (/ x 2)) (sin x)))) * * [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 (* (tan (/ x 2)) (sin x)) * [exit]simplify: Simplified to (* (tan (/ x 2)) (sin x)) * * * * [misc]progress: [ 23 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (* (tan (/ x 2)) (sin x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (* (tan (/ x 2)) (sin x)))) * [exit]simplify: Simplified to (sqrt (cbrt (* (tan (/ x 2)) (sin x)))) * [enter]simplify: Simplifying (sqrt (cbrt (* (tan (/ x 2)) (sin x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (* (tan (/ x 2)) (sin x)))) * [exit]simplify: Simplified to (sqrt (cbrt (* (tan (/ x 2)) (sin x)))) * * * * [misc]progress: [ 24 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (cbrt (* (tan (/ x 2)) (sin x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (expm1 (cbrt (* (tan (/ x 2)) (sin x)))) * [exit]simplify: Simplified to (expm1 (cbrt (* (tan (/ x 2)) (sin x)))) * * * * [misc]progress: [ 26 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (cbrt (* (tan (/ x 2)) (sin x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (log1p (cbrt (* (tan (/ x 2)) (sin x)))) * [exit]simplify: Simplified to (log1p (cbrt (* (tan (/ x 2)) (sin x)))) * * * * [misc]progress: [ 27 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (* (tan (/ x 2)) (sin x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (log (cbrt (* (tan (/ x 2)) (sin x)))) * [exit]simplify: Simplified to (log (cbrt (* (tan (/ x 2)) (sin x)))) * * * * [misc]progress: [ 30 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (* (tan (/ x 2)) (sin x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (exp (cbrt (* (tan (/ x 2)) (sin x)))) * [exit]simplify: Simplified to (exp (cbrt (* (tan (/ x 2)) (sin x)))) * * * * [misc]progress: [ 31 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (tan (/ x 2))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (cbrt (tan (/ x 2))) * [exit]simplify: Simplified to (cbrt (tan (/ x 2))) * [enter]simplify: Simplifying (cbrt (sin x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (sin x)) * [exit]simplify: Simplified to (cbrt (sin x)) * * * * [misc]progress: [ 32 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sin (/ x 2)) (sin x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (cbrt (* (sin (/ x 2)) (sin x))) * [exit]simplify: Simplified to (cbrt (* (sin (/ x 2)) (sin x))) * [enter]simplify: Simplifying (cbrt (cos (/ x 2))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (cbrt (cos (/ x 2))) * [exit]simplify: Simplified to (cbrt (cos (/ x 2))) * * * * [misc]progress: [ 33 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (* (tan (/ x 2)) (sin x)))) (cbrt (cbrt (* (tan (/ x 2)) (sin x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (* (tan (/ x 2)) (sin x)))) (cbrt (cbrt (* (tan (/ x 2)) (sin x))))) * [exit]simplify: Simplified to (* (cbrt (cbrt (* (tan (/ x 2)) (sin x)))) (cbrt (cbrt (* (tan (/ x 2)) (sin x))))) * [enter]simplify: Simplifying (cbrt (cbrt (* (tan (/ x 2)) (sin x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (* (tan (/ x 2)) (sin x)))) * [exit]simplify: Simplified to (cbrt (cbrt (* (tan (/ x 2)) (sin x)))) * * * * [misc]progress: [ 34 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (* (tan (/ x 2)) (sin x))) (cbrt (* (tan (/ x 2)) (sin x)))) (cbrt (* (tan (/ x 2)) (sin x)))) * * [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 (* (tan (/ x 2)) (sin x)) * [exit]simplify: Simplified to (* (tan (/ x 2)) (sin x)) * * * * [misc]progress: [ 35 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (* (tan (/ x 2)) (sin x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (* (tan (/ x 2)) (sin x)))) * [exit]simplify: Simplified to (sqrt (cbrt (* (tan (/ x 2)) (sin x)))) * [enter]simplify: Simplifying (sqrt (cbrt (* (tan (/ x 2)) (sin x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (* (tan (/ x 2)) (sin x)))) * [exit]simplify: Simplified to (sqrt (cbrt (* (tan (/ x 2)) (sin x)))) * * * * [misc]progress: [ 36 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (cbrt (* (tan (/ x 2)) (sin x))) (/ (cbrt (* (tan (/ x 2)) (sin x))) x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (expm1 (* (/ (cbrt (* (tan (/ x 2)) (sin x))) x) (cbrt (* (tan (/ x 2)) (sin x))))) * [exit]simplify: Simplified to (expm1 (* (/ (cbrt (* (tan (/ x 2)) (sin x))) x) (cbrt (* (tan (/ x 2)) (sin x))))) * * * * [misc]progress: [ 38 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (cbrt (* (tan (/ x 2)) (sin x))) (/ (cbrt (* (tan (/ x 2)) (sin x))) x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (log1p (* (/ (cbrt (* (tan (/ x 2)) (sin x))) x) (cbrt (* (tan (/ x 2)) (sin x))))) * [exit]simplify: Simplified to (log1p (* (/ (cbrt (* (tan (/ x 2)) (sin x))) x) (cbrt (* (tan (/ x 2)) (sin x))))) * * * * [misc]progress: [ 39 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (tan (/ x 2)) (sin x))) (/ (cbrt (* (tan (/ x 2)) (sin x))) x)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (* (tan (/ x 2)) (sin x))) (cbrt (* (tan (/ x 2)) (sin x)))) x) * [exit]simplify: Simplified to (/ (* (cbrt (* (tan (/ x 2)) (sin x))) (cbrt (* (tan (/ x 2)) (sin x)))) x) * * * * [misc]progress: [ 40 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (cbrt (* (tan (/ x 2)) (sin x)))) (log (/ (cbrt (* (tan (/ x 2)) (sin x))) x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (+ (log (/ (cbrt (* (tan (/ x 2)) (sin x))) x)) (log (cbrt (* (tan (/ x 2)) (sin x))))) * [exit]simplify: Simplified to (+ (log (/ (cbrt (* (tan (/ x 2)) (sin x))) x)) (log (cbrt (* (tan (/ x 2)) (sin x))))) * * * * [misc]progress: [ 42 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (* (tan (/ x 2)) (sin x))) (/ (cbrt (* (tan (/ x 2)) (sin x))) x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (log (* (/ (cbrt (* (tan (/ x 2)) (sin x))) x) (cbrt (* (tan (/ x 2)) (sin x))))) * [exit]simplify: Simplified to (log (* (/ (cbrt (* (tan (/ x 2)) (sin x))) x) (cbrt (* (tan (/ x 2)) (sin x))))) * * * * [misc]progress: [ 43 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (cbrt (* (tan (/ x 2)) (sin x))) (/ (cbrt (* (tan (/ x 2)) (sin x))) x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (pow (exp (cbrt (* (tan (/ x 2)) (sin x)))) (/ (cbrt (* (tan (/ x 2)) (sin x))) x)) * [exit]simplify: Simplified to (pow (exp (cbrt (* (tan (/ x 2)) (sin x)))) (/ (cbrt (* (tan (/ x 2)) (sin x))) x)) * * * * [misc]progress: [ 44 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (tan (/ x 2)) (sin x)) (* (* (/ (cbrt (* (tan (/ x 2)) (sin x))) x) (/ (cbrt (* (tan (/ x 2)) (sin x))) x)) (/ (cbrt (* (tan (/ x 2)) (sin x))) x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (204 enodes) * [exit]simplify: Simplified to (* (/ (* (tan (/ x 2)) (sin x)) (* x x)) (/ (* (tan (/ x 2)) (sin x)) x)) * [exit]simplify: Simplified to (* (/ (* (tan (/ x 2)) (sin x)) (* x x)) (/ (* (tan (/ x 2)) (sin x)) x)) * * * * [misc]progress: [ 45 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (cbrt (* (tan (/ x 2)) (sin x))) (/ (cbrt (* (tan (/ x 2)) (sin x))) x))) (cbrt (* (cbrt (* (tan (/ x 2)) (sin x))) (/ (cbrt (* (tan (/ x 2)) (sin x))) x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (* (cbrt (* (/ (cbrt (* (tan (/ x 2)) (sin x))) x) (cbrt (* (tan (/ x 2)) (sin x))))) (cbrt (* (/ (cbrt (* (tan (/ x 2)) (sin x))) x) (cbrt (* (tan (/ x 2)) (sin x)))))) * [exit]simplify: Simplified to (* (cbrt (* (/ (cbrt (* (tan (/ x 2)) (sin x))) x) (cbrt (* (tan (/ x 2)) (sin x))))) (cbrt (* (/ (cbrt (* (tan (/ x 2)) (sin x))) x) (cbrt (* (tan (/ x 2)) (sin x)))))) * [enter]simplify: Simplifying (cbrt (* (cbrt (* (tan (/ x 2)) (sin x))) (/ (cbrt (* (tan (/ x 2)) (sin x))) x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cbrt (* (tan (/ x 2)) (sin x))) x) (cbrt (* (tan (/ x 2)) (sin x))))) * [exit]simplify: Simplified to (cbrt (* (/ (cbrt (* (tan (/ x 2)) (sin x))) x) (cbrt (* (tan (/ x 2)) (sin x))))) * * * * [misc]progress: [ 46 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (cbrt (* (tan (/ x 2)) (sin x))) (/ (cbrt (* (tan (/ x 2)) (sin x))) x)) (* (cbrt (* (tan (/ x 2)) (sin x))) (/ (cbrt (* (tan (/ x 2)) (sin x))) x))) (* (cbrt (* (tan (/ x 2)) (sin x))) (/ (cbrt (* (tan (/ x 2)) (sin x))) x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (137 enodes) * * [misc]simplify: iters left: 2 (289 enodes) * [exit]simplify: Simplified to (/ (/ (tan (/ x 2)) (/ (* x x) (sin x))) (/ (/ x (sin x)) (tan (/ x 2)))) * [exit]simplify: Simplified to (/ (/ (tan (/ x 2)) (/ (* x x) (sin x))) (/ (/ x (sin x)) (tan (/ x 2)))) * * * * [misc]progress: [ 47 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (* (tan (/ x 2)) (sin x))) (/ (cbrt (* (tan (/ x 2)) (sin x))) x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (sqrt (* (/ (cbrt (* (tan (/ x 2)) (sin x))) x) (cbrt (* (tan (/ x 2)) (sin x))))) * [exit]simplify: Simplified to (sqrt (* (/ (cbrt (* (tan (/ x 2)) (sin x))) x) (cbrt (* (tan (/ x 2)) (sin x))))) * [enter]simplify: Simplifying (sqrt (* (cbrt (* (tan (/ x 2)) (sin x))) (/ (cbrt (* (tan (/ x 2)) (sin x))) x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (sqrt (* (/ (cbrt (* (tan (/ x 2)) (sin x))) x) (cbrt (* (tan (/ x 2)) (sin x))))) * [exit]simplify: Simplified to (sqrt (* (/ (cbrt (* (tan (/ x 2)) (sin x))) x) (cbrt (* (tan (/ x 2)) (sin x))))) * * * * [misc]progress: [ 48 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sin (/ x 2)) (sin x))) (cbrt (* (tan (/ x 2)) (sin x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sin (/ x 2)) (sin x))) (cbrt (* (tan (/ x 2)) (sin x)))) * [exit]simplify: Simplified to (* (cbrt (* (sin (/ x 2)) (sin x))) (cbrt (* (tan (/ x 2)) (sin x)))) * [enter]simplify: Simplifying (* (cbrt (cos (/ x 2))) x) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (* x (cbrt (cos (/ x 2)))) * [exit]simplify: Simplified to (* x (cbrt (cos (/ x 2)))) * * * * [misc]progress: [ 49 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (tan (/ x 2)) (sin x))) (* (cbrt (/ (cbrt (* (tan (/ x 2)) (sin x))) x)) (cbrt (/ (cbrt (* (tan (/ x 2)) (sin x))) x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (cbrt (* (tan (/ x 2)) (sin x))) x)) (* (cbrt (/ (cbrt (* (tan (/ x 2)) (sin x))) x)) (cbrt (* (tan (/ x 2)) (sin x))))) * [exit]simplify: Simplified to (* (cbrt (/ (cbrt (* (tan (/ x 2)) (sin x))) x)) (* (cbrt (/ (cbrt (* (tan (/ x 2)) (sin x))) x)) (cbrt (* (tan (/ x 2)) (sin x))))) * * * * [misc]progress: [ 51 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (tan (/ x 2)) (sin x))) (sqrt (/ (cbrt (* (tan (/ x 2)) (sin x))) x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (cbrt (* (tan (/ x 2)) (sin x))) x)) (cbrt (* (tan (/ x 2)) (sin x)))) * [exit]simplify: Simplified to (* (sqrt (/ (cbrt (* (tan (/ x 2)) (sin x))) x)) (cbrt (* (tan (/ x 2)) (sin x)))) * * * * [misc]progress: [ 52 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (tan (/ x 2)) (sin x))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (cbrt (* (tan (/ x 2)) (sin x))) * [exit]simplify: Simplified to (cbrt (* (tan (/ x 2)) (sin x))) * * * * [misc]progress: [ 53 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (tan (/ x 2)) (sin x))) (cbrt (* (tan (/ x 2)) (sin x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (* (tan (/ x 2)) (sin x))) (cbrt (* (tan (/ x 2)) (sin x)))) * [exit]simplify: Simplified to (* (cbrt (* (tan (/ x 2)) (sin x))) (cbrt (* (tan (/ x 2)) (sin x)))) * * * * [misc]progress: [ 54 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sin x)) (/ (cbrt (* (tan (/ x 2)) (sin x))) x)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sin x)) x) (cbrt (* (tan (/ x 2)) (sin x)))) * [exit]simplify: Simplified to (* (/ (cbrt (sin x)) x) (cbrt (* (tan (/ x 2)) (sin x)))) * * * * [misc]progress: [ 55 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (* (tan (/ x 2)) (sin x)))) (/ (cbrt (* (tan (/ x 2)) (sin x))) x)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (* (tan (/ x 2)) (sin x))) x) (cbrt (cbrt (* (tan (/ x 2)) (sin x))))) * [exit]simplify: Simplified to (* (/ (cbrt (* (tan (/ x 2)) (sin x))) x) (cbrt (cbrt (* (tan (/ x 2)) (sin x))))) * * * * [misc]progress: [ 56 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (cbrt (* (tan (/ x 2)) (sin x)))) (/ (cbrt (* (tan (/ x 2)) (sin x))) x)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (* (tan (/ x 2)) (sin x))) x) (sqrt (cbrt (* (tan (/ x 2)) (sin x))))) * [exit]simplify: Simplified to (* (/ (cbrt (* (tan (/ x 2)) (sin x))) x) (sqrt (cbrt (* (tan (/ x 2)) (sin x))))) * * * * [misc]progress: [ 57 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (tan (/ x 2)) (sin x))) (/ (cbrt (* (tan (/ x 2)) (sin x))) x)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (* (tan (/ x 2)) (sin x))) (cbrt (* (tan (/ x 2)) (sin x)))) x) * [exit]simplify: Simplified to (/ (* (cbrt (* (tan (/ x 2)) (sin x))) (cbrt (* (tan (/ x 2)) (sin x)))) x) * * * * [misc]progress: [ 58 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (tan (/ x 2)) (sin x))) (cbrt (* (tan (/ x 2)) (sin x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (* (tan (/ x 2)) (sin x))) (cbrt (* (tan (/ x 2)) (sin x)))) * [exit]simplify: Simplified to (* (cbrt (* (tan (/ x 2)) (sin x))) (cbrt (* (tan (/ x 2)) (sin x)))) * * * * [misc]progress: [ 59 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sin (/ x 2)) (sin x))) (/ (cbrt (* (tan (/ x 2)) (sin x))) x)) * * [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 (23 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (* (sin (/ x 2)) (sin x))) x) (cbrt (* (tan (/ x 2)) (sin x)))) * [exit]simplify: Simplified to (* (/ (cbrt (* (sin (/ x 2)) (sin x))) x) (cbrt (* (tan (/ x 2)) (sin x)))) * * * * [misc]progress: [ 60 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (* (tan (/ x 2)) (sin x))) (/ (cbrt (* (tan (/ x 2)) (sin x))) x)) (/ (- (+ (* 1/6480 (* (exp (* 1/3 (+ (log 1/2) (* 2 (log x))))) (pow x 4))) (exp (* 1/3 (+ (log 1/2) (* 2 (log x)))))) (* 1/36 (* (exp (* 1/3 (+ (log 1/2) (* 2 (log x))))) (pow x 2)))) x)) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * [exit]simplify: Simplified to (/ (* (+ (* (pow (exp 1/3) (fma 2 (log x) (log 1/2))) (- (* (pow x 4) 1/6480) (* 1/36 (* x x)))) (pow (exp 1/3) (fma 2 (log x) (log 1/2)))) (* (cbrt (* (tan (/ x 2)) (sin x))) (cbrt (* (tan (/ x 2)) (sin x))))) (* x x)) * * * * [misc]progress: [ 62 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (* (tan (/ x 2)) (sin x))) (/ (cbrt (* (tan (/ x 2)) (sin x))) x)) (/ (pow (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x))) 1/3) x)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (152 enodes) * * [misc]simplify: iters left: 1 (176 enodes) * [exit]simplify: Simplified to (* (* (/ (cbrt (* (tan (/ x 2)) (sin x))) x) (/ (cbrt (* (tan (/ x 2)) (sin x))) x)) (cbrt (* (sin x) (/ (sin (* 1/2 x)) (cos (* 1/2 x)))))) * * * * [misc]progress: [ 63 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (* (tan (/ x 2)) (sin x))) (/ (cbrt (* (tan (/ x 2)) (sin x))) x)) (/ (pow (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x))) 1/3) x)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (152 enodes) * * [misc]simplify: iters left: 1 (176 enodes) * [exit]simplify: Simplified to (* (* (/ (cbrt (* (tan (/ x 2)) (sin x))) x) (/ (cbrt (* (tan (/ x 2)) (sin x))) x)) (cbrt (* (sin x) (/ (sin (* 1/2 x)) (cos (* 1/2 x)))))) * * * * [misc]progress: [ 64 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (* (tan (/ x 2)) (sin x))) (/ (- (+ (* 1/6480 (* (exp (* 1/3 (+ (log 1/2) (* 2 (log x))))) (pow x 4))) (exp (* 1/3 (+ (log 1/2) (* 2 (log x)))))) (* 1/36 (* (exp (* 1/3 (+ (log 1/2) (* 2 (log x))))) (pow x 2)))) x)) (/ (cbrt (* (tan (/ x 2)) (sin x))) x)) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (465 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (* (tan (/ x 2)) (sin x))) (fma (cbrt (* 1/2 (* x x))) (- (* (pow x 4) 1/6480) (* 1/36 (* x x))) (cbrt (* 1/2 (* x x))))) (/ (* x x) (cbrt (* (tan (/ x 2)) (sin x))))) * * * * [misc]progress: [ 65 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (* (tan (/ x 2)) (sin x))) (/ (pow (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x))) 1/3) x)) (/ (cbrt (* (tan (/ x 2)) (sin x))) x)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (156 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (sin x) (/ (cos (* 1/2 x)) (sin (* 1/2 x))))) (* (/ (cbrt (* (tan (/ x 2)) (sin x))) x) (/ (cbrt (* (tan (/ x 2)) (sin x))) x))) * * * * [misc]progress: [ 66 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (* (tan (/ x 2)) (sin x))) (/ (pow (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x))) 1/3) x)) (/ (cbrt (* (tan (/ x 2)) (sin x))) x)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (156 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (sin x) (/ (cos (* 1/2 x)) (sin (* 1/2 x))))) (* (/ (cbrt (* (tan (/ x 2)) (sin x))) x) (/ (cbrt (* (tan (/ x 2)) (sin x))) x))) * * * * [misc]progress: [ 67 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (+ (* 1/6480 (* (exp (* 1/3 (+ (log 1/2) (* 2 (log x))))) (pow x 4))) (exp (* 1/3 (+ (log 1/2) (* 2 (log x)))))) (* 1/36 (* (exp (* 1/3 (+ (log 1/2) (* 2 (log x))))) (pow x 2)))) (/ (cbrt (* (tan (/ x 2)) (sin x))) x)) (/ (cbrt (* (tan (/ x 2)) (sin x))) x)) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * * [misc]simplify: iters left: 3 (481 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (* (sin x) (tan (/ x 2)))) (fma (cbrt (* 1/2 (* x x))) (- (* 1/6480 (pow x 4)) (* x (* x 1/36))) (cbrt (* 1/2 (* x x))))) (/ (* x x) (cbrt (* (sin x) (tan (/ x 2)))))) * * * * [misc]progress: [ 68 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (pow (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x))) 1/3) (/ (cbrt (* (tan (/ x 2)) (sin x))) x)) (/ (cbrt (* (tan (/ x 2)) (sin x))) x)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (157 enodes) * [exit]simplify: Simplified to (* (* (/ (cbrt (* (tan (/ x 2)) (sin x))) x) (cbrt (/ (sin x) (/ (cos (* x 1/2)) (sin (* x 1/2)))))) (/ (cbrt (* (tan (/ x 2)) (sin x))) x)) * * * * [misc]progress: [ 69 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (pow (/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x))) 1/3) (/ (cbrt (* (tan (/ x 2)) (sin x))) x)) (/ (cbrt (* (tan (/ x 2)) (sin x))) x)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (157 enodes) * [exit]simplify: Simplified to (* (* (/ (cbrt (* (tan (/ x 2)) (sin x))) x) (cbrt (/ (sin x) (/ (cos (* x 1/2)) (sin (* x 1/2)))))) (/ (cbrt (* (tan (/ x 2)) (sin x))) x)) * * * * [misc]progress: [ 70 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (+ (/ (pow (exp (* 1/3 (+ (log 1/2) (* 2 (log x))))) 2) x) (* 7/6480 (* (pow (exp (* 1/3 (+ (log 1/2) (* 2 (log x))))) 2) (pow x 3)))) (* 1/18 (* (pow (exp (* 1/3 (+ (log 1/2) (* 2 (log x))))) 2) x))) (/ (cbrt (* (tan (/ x 2)) (sin x))) x)) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (159 enodes) * * [misc]simplify: iters left: 3 (466 enodes) * [exit]simplify: Simplified to (* (fma x (* (pow (* 1/2 (* x x)) (+ 1/3 1/3)) (- (* (* x x) 7/6480) 1/18)) (/ (* (cbrt (* x x)) (* (cbrt 1/2) (cbrt 1/2))) (/ x (cbrt (* x x))))) (/ (cbrt (* (tan (/ x 2)) (sin x))) x)) * * * * [misc]progress: [ 71 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (pow (/ (* (pow (sin x) 2) (pow (sin (* 1/2 x)) 2)) (pow (cos (* 1/2 x)) 2)) 1/3) (/ 1 x)) (/ (cbrt (* (tan (/ x 2)) (sin x))) x)) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (227 enodes) * * [misc]simplify: iters left: 2 (425 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (* (tan (/ x 2)) (sin x))) (* x x)) (cbrt (* (/ (* (sin (* x 1/2)) (sin x)) (cos (* x 1/2))) (/ (* (sin (* x 1/2)) (sin x)) (cos (* x 1/2)))))) * * * * [misc]progress: [ 72 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (pow (/ (* (pow (sin x) 2) (pow (sin (* 1/2 x)) 2)) (pow (cos (* 1/2 x)) 2)) 1/3) (/ 1 x)) (/ (cbrt (* (tan (/ x 2)) (sin x))) x)) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (227 enodes) * * [misc]simplify: iters left: 2 (425 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (* (tan (/ x 2)) (sin x))) (* x x)) (cbrt (* (/ (* (sin (* x 1/2)) (sin x)) (cos (* x 1/2))) (/ (* (sin (* x 1/2)) (sin x)) (cos (* x 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 0.49999988146634006 and 0.49994391062561966 on (/ (- 1 (cos x)) (* x x)) * [misc]regimes: searching between -0.0016866668662033376 and -0.03669067174287029 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 2.8861240588858183e-10 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]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 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 0.4999849111265353 and 0.49994391062560734 on (* (* (cbrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (cbrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))) (cbrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))) * [misc]regimes: searching between 0.7936925418725814 and 0.7936708460969495 on (cbrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) * [misc]regimes: searching between 0.4999849111265353 and 0.49994391062560717 on (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)) * [misc]regimes: searching between 0.4999998814711125 and 0.49994391062561805 on (/ (- (pow 1 3) (pow (cos x) 3)) (fma (* x x) (fma (cos x) (cos x) (cos x)) (* x x))) * [misc]regimes: searching between 1.1587528259574e-315 and 0.0 on (* (/ (* (sin x) (sin x)) x) (/ 1 (fma (cos x) x x))) * [misc]regimes: searching between 0.4999998814892024 and 0.49994391062568866 on (- (/ 1 (* x x)) (/ (cos x) (* x x))) * [misc]regimes: searching between 1.1587528259574e-315 and 0.0 on (* (/ 1 x) (/ (- 1 (cos x)) x)) * [misc]regimes: searching between 1.1587528259574e-315 and 0.0 on (* (/ (sqrt (- 1 (cos x))) x) (/ (sqrt (- 1 (cos x))) x)) * [misc]regimes: searching between 0.0 and -7.036480020420404e-299 on (/ (sqrt (- 1 (cos x))) 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]regimes: searching between 4.28933649981127e-307 and 0.0 on (/ (sqrt (- 1 (cos x))) 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 2.6872965597960535e+18 and 0.5 on (- (fma (pow x 4) 1/720 1/2) (* x (* 1/24 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]regimes: searching between 1.1587528259574e-315 and 0.0 on (* (* (cbrt (* (tan (/ x 2)) (sin x))) (/ (cbrt (* (tan (/ x 2)) (sin x))) x)) (/ (cbrt (* (tan (/ x 2)) (sin x))) x)) * [misc]regimes: searching between 0.499999881464798 and 0.49994391062560717 on (cbrt (* (/ (* (tan (/ x 2)) (* (sin x) (sin x))) (* (* x x) (* x x))) (/ (* (tan (/ x 2)) (* (sin x) (sin x))) (* (* x x) (+ 1 (cos x)))))) * [misc]regimes: searching between 0.12499991109861955 and 0.12495793768805581 on (* (/ (* (tan (/ x 2)) (* (sin x) (sin x))) (* (* x x) (* x x))) (/ (* (tan (/ x 2)) (* (sin x) (sin x))) (* (* x x) (+ 1 (cos x))))) * [misc]regimes: Found splitpoints: (#s(sp 0 x -0.01299087312505388) #s(sp 1 x 0.026023199604116663) #s(sp 2 x +nan.0)) , with alts (# # #) * [enter]simplify: Simplifying (if (<= x -0.01299087312505388) (* (/ (* (sin x) (sin x)) x) (/ 1 (fma (cos x) x x))) (if (<= x 0.026023199604116663) (- (fma (pow x 4) 1/720 1/2) (* x (* 1/24 x))) (* (/ 1 x) (/ (- 1 (cos x)) x)))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * [exit]simplify: Simplified to (if (<= x -0.01299087312505388) (* (/ 1 (fma (cos x) x x)) (/ (* (sin x) (sin x)) x)) (if (<= x 0.026023199604116663) (- (fma (pow x 4) 1/720 1/2) (* x (* x 1/24))) (* (/ 1 x) (/ (- 1 (cos x)) 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