* [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: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 72 additional inputs, on iter 1 have 184 / 256 * * * * [misc]points: Computing exacts on every 4 of 72 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 72 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 72 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 2 have 240 / 256 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 8 additional inputs, on iter 3 have 248 / 256 * * * * [misc]points: Computing exacts for 8 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 4 have 252 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 5 have 255 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 258 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (/ (cos (* 2 x)) (* (pow cos 2) (* (* x (pow sin 2)) x))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (242 enodes) * * [misc]simplify: iters left: 1 (363 enodes) * [exit]simplify: Simplified to (/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin))) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (* (* x cos) sin) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in sin * [misc]taylor: Taking taylor expansion of (* x cos) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in cos * [misc]taylor: Taking taylor expansion of (* x cos) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in x * [misc]taylor: Taking taylor expansion of (* x cos) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in x * [misc]taylor: Taking taylor expansion of (* x cos) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 cos) into 0 * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 cos)) into cos * [misc]backup-simplify: Simplify (+ (* 0 0) (* cos sin)) into (* cos sin) * [misc]taylor: Taking taylor expansion of (* cos sin) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (* 0 sin))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 sin)) into sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]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]approximate: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in sin * [misc]taylor: Taking taylor expansion of (/ 1 x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in cos * [misc]taylor: Taking taylor expansion of (/ 1 x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 sin) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (* 1 (/ 1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ 1 sin)) into (/ 1 (* cos sin)) * [misc]taylor: Taking taylor expansion of (/ 1 (* cos sin)) in cos * [misc]taylor: Taking taylor expansion of (* cos sin) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 sin)) into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (* 0 (/ 1 sin))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (* 0 (/ 1 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 cos))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 sin))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* (/ 1 (/ 1 sin)) (* (/ 1 (/ 1 cos)) (/ 1 (/ 1 x))))) into (* x (* sin cos)) * [misc]approximate: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in sin * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in sin * [misc]taylor: Taking taylor expansion of (- x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in sin * [misc]taylor: Taking taylor expansion of (- cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in sin * [misc]taylor: Taking taylor expansion of (- sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in cos * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in cos * [misc]taylor: Taking taylor expansion of (- x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in cos * [misc]taylor: Taking taylor expansion of (- cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in cos * [misc]taylor: Taking taylor expansion of (- sin) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in x * [misc]taylor: Taking taylor expansion of (- sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in x * [misc]taylor: Taking taylor expansion of (- sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]backup-simplify: Simplify (* -1 (/ -1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ -1 sin)) into (/ -1 (* cos sin)) * [misc]taylor: Taking taylor expansion of (/ -1 (* cos sin)) in cos * [misc]taylor: Taking taylor expansion of -1 in cos * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* cos sin) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 sin)) into sin * [misc]backup-simplify: Simplify (/ -1 sin) into (/ -1 sin) * [misc]taylor: Taking taylor expansion of (/ -1 sin) in sin * [misc]taylor: Taking taylor expansion of -1 in sin * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (* 0 (/ -1 sin))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 sin) (+ (* (/ -1 sin) (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))) (* 0 (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))) (* 0 (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (* 0 (/ -1 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 sin) (+ (* (/ -1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))) (* 0 (/ 0 (- sin))) (* 0 (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))) (* 0 (/ 0 (- cos))) (* 0 (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 cos))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 sin))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 sin) (+ (* (/ -1 sin) (/ 0 sin)) (* 0 (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 (* (/ 1 (/ 1 (- sin))) (* (/ 1 (/ 1 (- cos))) (/ 1 (/ 1 (- x)))))) into (* x (* sin cos)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (* (* x cos) sin) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in sin * [misc]taylor: Taking taylor expansion of (* x cos) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in cos * [misc]taylor: Taking taylor expansion of (* x cos) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in x * [misc]taylor: Taking taylor expansion of (* x cos) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in x * [misc]taylor: Taking taylor expansion of (* x cos) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 cos) into 0 * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 cos)) into cos * [misc]backup-simplify: Simplify (+ (* 0 0) (* cos sin)) into (* cos sin) * [misc]taylor: Taking taylor expansion of (* cos sin) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (* 0 sin))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 sin)) into sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]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]approximate: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in sin * [misc]taylor: Taking taylor expansion of (/ 1 x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in cos * [misc]taylor: Taking taylor expansion of (/ 1 x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 sin) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (* 1 (/ 1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ 1 sin)) into (/ 1 (* cos sin)) * [misc]taylor: Taking taylor expansion of (/ 1 (* cos sin)) in cos * [misc]taylor: Taking taylor expansion of (* cos sin) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 sin)) into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (* 0 (/ 1 sin))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (* 0 (/ 1 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 cos))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 sin))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* (/ 1 (/ 1 sin)) (* (/ 1 (/ 1 cos)) (/ 1 (/ 1 x))))) into (* x (* sin cos)) * [misc]approximate: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in sin * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in sin * [misc]taylor: Taking taylor expansion of (- x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in sin * [misc]taylor: Taking taylor expansion of (- cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in sin * [misc]taylor: Taking taylor expansion of (- sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in cos * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in cos * [misc]taylor: Taking taylor expansion of (- x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in cos * [misc]taylor: Taking taylor expansion of (- cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in cos * [misc]taylor: Taking taylor expansion of (- sin) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in x * [misc]taylor: Taking taylor expansion of (- sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in x * [misc]taylor: Taking taylor expansion of (- sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]backup-simplify: Simplify (* -1 (/ -1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ -1 sin)) into (/ -1 (* cos sin)) * [misc]taylor: Taking taylor expansion of (/ -1 (* cos sin)) in cos * [misc]taylor: Taking taylor expansion of -1 in cos * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* cos sin) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 sin)) into sin * [misc]backup-simplify: Simplify (/ -1 sin) into (/ -1 sin) * [misc]taylor: Taking taylor expansion of (/ -1 sin) in sin * [misc]taylor: Taking taylor expansion of -1 in sin * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (* 0 (/ -1 sin))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 sin) (+ (* (/ -1 sin) (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))) (* 0 (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))) (* 0 (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (* 0 (/ -1 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 sin) (+ (* (/ -1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))) (* 0 (/ 0 (- sin))) (* 0 (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))) (* 0 (/ 0 (- cos))) (* 0 (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 cos))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 sin))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 sin) (+ (* (/ -1 sin) (/ 0 sin)) (* 0 (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 (* (/ 1 (/ 1 (- sin))) (* (/ 1 (/ 1 (- cos))) (/ 1 (/ 1 (- x)))))) into (* x (* sin cos)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin))) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin))) in sin * [misc]taylor: Taking taylor expansion of (cos (* 2 x)) in sin * [misc]taylor: Taking taylor expansion of (* 2 x) in sin * [misc]taylor: Taking taylor expansion of 2 in sin * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 2 x) into (* 2 x) * [misc]backup-simplify: Simplify (cos (* 2 x)) into (cos (* 2 x)) * [misc]backup-simplify: Simplify (sin (* 2 x)) into (sin (* 2 x)) * [misc]taylor: Taking taylor expansion of (* (* (* x cos) sin) (* (* x cos) sin)) in sin * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in sin * [misc]taylor: Taking taylor expansion of (* x cos) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in sin * [misc]taylor: Taking taylor expansion of (* x cos) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (cos (* 2 x)) 1) into (cos (* 2 x)) * [misc]backup-simplify: Simplify (* (sin (* 2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 2 x)) 0) into (cos (* 2 x)) * [misc]backup-simplify: Simplify (* x cos) into (* x cos) * [misc]backup-simplify: Simplify (* (* x cos) 0) into 0 * [misc]backup-simplify: Simplify (* x cos) into (* x cos) * [misc]backup-simplify: Simplify (* (* x cos) 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (* 0 cos)) into 0 * [misc]backup-simplify: Simplify (+ (* (* x cos) 1) (* 0 0)) into (* x cos) * [misc]backup-simplify: Simplify (+ (* x 0) (* 0 cos)) into 0 * [misc]backup-simplify: Simplify (+ (* (* x cos) 1) (* 0 0)) into (* x cos) * [misc]backup-simplify: Simplify (+ (* 0 (* x cos)) (* (* x cos) 0)) into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (+ (* 0 0) (* 0 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* (* x cos) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (+ (* 0 0) (* 0 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* (* x cos) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (* x cos) (* x cos)) (* 0 0))) into (* (pow x 2) (pow cos 2)) * [misc]backup-simplify: Simplify (/ (cos (* 2 x)) (* (pow x 2) (pow cos 2))) into (/ (cos (* 2 x)) (* (pow x 2) (pow cos 2))) * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin))) in cos * [misc]taylor: Taking taylor expansion of (cos (* 2 x)) in cos * [misc]taylor: Taking taylor expansion of (* 2 x) in cos * [misc]taylor: Taking taylor expansion of 2 in cos * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 2 x) into (* 2 x) * [misc]backup-simplify: Simplify (cos (* 2 x)) into (cos (* 2 x)) * [misc]backup-simplify: Simplify (sin (* 2 x)) into (sin (* 2 x)) * [misc]taylor: Taking taylor expansion of (* (* (* x cos) sin) (* (* x cos) sin)) in cos * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in cos * [misc]taylor: Taking taylor expansion of (* x cos) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in cos * [misc]taylor: Taking taylor expansion of (* x cos) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* (cos (* 2 x)) 1) into (cos (* 2 x)) * [misc]backup-simplify: Simplify (* (sin (* 2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 2 x)) 0) into (cos (* 2 x)) * [misc]backup-simplify: Simplify (* x 0) into 0 * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (* x 0) into 0 * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* x 1) (* 0 0)) into x * [misc]backup-simplify: Simplify (+ (* 0 0) (* x sin)) into (* x sin) * [misc]backup-simplify: Simplify (+ (* x 1) (* 0 0)) into x * [misc]backup-simplify: Simplify (+ (* 0 0) (* x sin)) into (* x sin) * [misc]backup-simplify: Simplify (+ (* 0 (* x sin)) (* (* x sin) 0)) into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* x 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* x 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (* x sin) (* x sin)) (* 0 0))) into (* (pow x 2) (pow sin 2)) * [misc]backup-simplify: Simplify (/ (cos (* 2 x)) (* (pow x 2) (pow sin 2))) into (/ (cos (* 2 x)) (* (pow x 2) (pow sin 2))) * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin))) in x * [misc]taylor: Taking taylor expansion of (cos (* 2 x)) in x * [misc]taylor: Taking taylor expansion of (* 2 x) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]taylor: Taking taylor expansion of (* (* (* x cos) sin) (* (* x cos) sin)) in x * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in x * [misc]taylor: Taking taylor expansion of (* x cos) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in x * [misc]taylor: Taking taylor expansion of (* x cos) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 cos) into 0 * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (* 0 cos) into 0 * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 cos)) into cos * [misc]backup-simplify: Simplify (+ (* 0 0) (* cos sin)) into (* cos sin) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 cos)) into cos * [misc]backup-simplify: Simplify (+ (* 0 0) (* cos sin)) into (* cos sin) * [misc]backup-simplify: Simplify (+ (* 0 (* cos sin)) (* (* cos sin) 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (* cos sin) (* cos sin)) (* 0 0))) into (* (pow cos 2) (pow sin 2)) * [misc]backup-simplify: Simplify (/ 1 (* (pow cos 2) (pow sin 2))) into (/ 1 (* (pow cos 2) (pow sin 2))) * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin))) in x * [misc]taylor: Taking taylor expansion of (cos (* 2 x)) in x * [misc]taylor: Taking taylor expansion of (* 2 x) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]taylor: Taking taylor expansion of (* (* (* x cos) sin) (* (* x cos) sin)) in x * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in x * [misc]taylor: Taking taylor expansion of (* x cos) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in x * [misc]taylor: Taking taylor expansion of (* x cos) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 cos) into 0 * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (* 0 cos) into 0 * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 cos)) into cos * [misc]backup-simplify: Simplify (+ (* 0 0) (* cos sin)) into (* cos sin) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 cos)) into cos * [misc]backup-simplify: Simplify (+ (* 0 0) (* cos sin)) into (* cos sin) * [misc]backup-simplify: Simplify (+ (* 0 (* cos sin)) (* (* cos sin) 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (* cos sin) (* cos sin)) (* 0 0))) into (* (pow cos 2) (pow sin 2)) * [misc]backup-simplify: Simplify (/ 1 (* (pow cos 2) (pow sin 2))) into (/ 1 (* (pow cos 2) (pow sin 2))) * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow cos 2) (pow sin 2))) in cos * [misc]taylor: Taking taylor expansion of (* (pow cos 2) (pow sin 2)) in cos * [misc]taylor: Taking taylor expansion of (pow cos 2) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow sin 2) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* sin sin) into (pow sin 2) * [misc]backup-simplify: Simplify (* 1 (pow sin 2)) into (pow sin 2) * [misc]backup-simplify: Simplify (/ 1 (pow sin 2)) into (/ 1 (pow sin 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow sin 2)) in sin * [misc]taylor: Taking taylor expansion of (pow sin 2) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (+ (* 0 0) (* 0 sin)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (+ (* 0 0) (* 0 sin)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (* cos sin) 0) (+ (* 0 (* cos sin)) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (pow cos 2) (pow sin 2))) (+ (* (/ 1 (* (pow cos 2) (pow sin 2))) (/ 0 (* (pow cos 2) (pow sin 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (* 0 sin)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow sin 2))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow sin 2)) (/ 0 (pow sin 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 2 2) 2)) 0) into (- 2) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (* cos sin) 0) (+ (* 0 0) (+ (* 0 (* cos sin)) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (/ (- 2) (* (pow cos 2) (pow sin 2))) (+ (* (/ 1 (* (pow cos 2) (pow sin 2))) (/ 0 (* (pow cos 2) (pow sin 2)))) (* 0 (/ 0 (* (pow cos 2) (pow sin 2)))))) into (- (* 2 (/ 1 (* (pow cos 2) (pow sin 2))))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (* (pow cos 2) (pow sin 2))))) in cos * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* (pow cos 2) (pow sin 2)))) in cos * [misc]taylor: Taking taylor expansion of 2 in cos * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow cos 2) (pow sin 2))) in cos * [misc]taylor: Taking taylor expansion of (* (pow cos 2) (pow sin 2)) in cos * [misc]taylor: Taking taylor expansion of (pow cos 2) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow sin 2) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* sin sin) into (pow sin 2) * [misc]backup-simplify: Simplify (* 1 (pow sin 2)) into (pow sin 2) * [misc]backup-simplify: Simplify (/ 1 (pow sin 2)) into (/ 1 (pow sin 2)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (pow sin 2))) into (/ 2 (pow sin 2)) * [misc]backup-simplify: Simplify (- (/ 2 (pow sin 2))) into (- (* 2 (/ 1 (pow sin 2)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (pow sin 2)))) in sin * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow sin 2))) in sin * [misc]taylor: Taking taylor expansion of 2 in sin * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow sin 2)) in sin * [misc]taylor: Taking taylor expansion of (pow sin 2) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (+ (* sin 0) (+ (* 0 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow sin 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow sin 2)) (/ 0 (pow sin 2))) (* 0 (/ 0 (pow sin 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 2 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (* cos sin) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (* cos sin)) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (pow cos 2) (pow sin 2))) (+ (* (/ 1 (* (pow cos 2) (pow sin 2))) (/ 0 (* (pow cos 2) (pow sin 2)))) (* 0 (/ 0 (* (pow cos 2) (pow sin 2)))) (* (- (* 2 (/ 1 (* (pow cos 2) (pow sin 2))))) (/ 0 (* (pow cos 2) (pow sin 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (* 0 sin)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow sin 2))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow sin 2)) (/ 0 (pow sin 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (pow sin 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow sin 2))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow sin 2)) (/ 0 (pow sin 2))) (* 0 (/ 0 (pow sin 2))) (* 0 (/ 0 (pow sin 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 2 4) 24)) 0 (* -1 (/ (pow 2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 2/3 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (* cos sin) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (* cos sin)) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 2/3 (* (pow cos 2) (pow sin 2))) (+ (* (/ 1 (* (pow cos 2) (pow sin 2))) (/ 0 (* (pow cos 2) (pow sin 2)))) (* 0 (/ 0 (* (pow cos 2) (pow sin 2)))) (* (- (* 2 (/ 1 (* (pow cos 2) (pow sin 2))))) (/ 0 (* (pow cos 2) (pow sin 2)))) (* 0 (/ 0 (* (pow cos 2) (pow sin 2)))))) into (* 2/3 (/ 1 (* (pow cos 2) (pow sin 2)))) * [misc]taylor: Taking taylor expansion of (* 2/3 (/ 1 (* (pow cos 2) (pow sin 2)))) in cos * [misc]taylor: Taking taylor expansion of 2/3 in cos * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow cos 2) (pow sin 2))) in cos * [misc]taylor: Taking taylor expansion of (* (pow cos 2) (pow sin 2)) in cos * [misc]taylor: Taking taylor expansion of (pow cos 2) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow sin 2) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* sin sin) into (pow sin 2) * [misc]backup-simplify: Simplify (* 1 (pow sin 2)) into (pow sin 2) * [misc]backup-simplify: Simplify (/ 1 (pow sin 2)) into (/ 1 (pow sin 2)) * [misc]backup-simplify: Simplify (* 2/3 (/ 1 (pow sin 2))) into (/ 2/3 (pow sin 2)) * [misc]taylor: Taking taylor expansion of (/ 2/3 (pow sin 2)) in sin * [misc]taylor: Taking taylor expansion of 2/3 in sin * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]taylor: Taking taylor expansion of (pow sin 2) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 2/3 1) into 2/3 * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]backup-simplify: Simplify (+ (* 2/3 (pow (* (/ 1 sin) (* (/ 1 cos) x)) 2)) (+ (* -2 (pow (* (/ 1 sin) (* (/ 1 cos) 1)) 2)) (* 1 (pow (* (/ 1 sin) (* (/ 1 cos) (/ 1 x))) 2)))) into (- (+ (/ 1 (* (pow x 2) (* (pow sin 2) (pow cos 2)))) (* 2/3 (/ (pow x 2) (* (pow sin 2) (pow cos 2))))) (* 2 (/ 1 (* (pow sin 2) (pow cos 2))))) * [misc]approximate: Taking taylor expansion of (/ (cos (* 2 (/ 1 x))) (* (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)))) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 x))) (* (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)))) in sin * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 x))) in sin * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in sin * [misc]taylor: Taking taylor expansion of 2 in sin * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 2 (/ 1 x)) into (/ 2 x) * [misc]backup-simplify: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (sin (/ 2 x)) into (sin (/ 2 x)) * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) in sin * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in sin * [misc]taylor: Taking taylor expansion of (/ 1 x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in sin * [misc]taylor: Taking taylor expansion of (/ 1 x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (cos (/ 2 x)) 1) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (* (sin (/ 2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 2 x)) 0) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (* (/ 1 x) (/ 1 cos)) into (/ 1 (* x cos)) * [misc]backup-simplify: Simplify (* (/ 1 (* x cos)) 1) into (/ 1 (* x cos)) * [misc]backup-simplify: Simplify (* (/ 1 x) (/ 1 cos)) into (/ 1 (* x cos)) * [misc]backup-simplify: Simplify (* (/ 1 (* x cos)) 1) into (/ 1 (* x cos)) * [misc]backup-simplify: Simplify (* (/ 1 (* x cos)) (/ 1 (* x cos))) into (/ 1 (* (pow x 2) (pow cos 2))) * [misc]backup-simplify: Simplify (/ (cos (/ 2 x)) (/ 1 (* (pow x 2) (pow cos 2)))) into (* (pow x 2) (* (pow cos 2) (cos (/ 2 x)))) * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 x))) (* (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)))) in cos * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 x))) in cos * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in cos * [misc]taylor: Taking taylor expansion of 2 in cos * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 2 (/ 1 x)) into (/ 2 x) * [misc]backup-simplify: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (sin (/ 2 x)) into (sin (/ 2 x)) * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) in cos * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in cos * [misc]taylor: Taking taylor expansion of (/ 1 x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 sin) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in cos * [misc]taylor: Taking taylor expansion of (/ 1 x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 sin) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (* (cos (/ 2 x)) 1) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (* (sin (/ 2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 2 x)) 0) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (* (/ 1 x) 1) into (/ 1 x) * [misc]backup-simplify: Simplify (* (/ 1 x) (/ 1 sin)) into (/ 1 (* x sin)) * [misc]backup-simplify: Simplify (* (/ 1 x) 1) into (/ 1 x) * [misc]backup-simplify: Simplify (* (/ 1 x) (/ 1 sin)) into (/ 1 (* x sin)) * [misc]backup-simplify: Simplify (* (/ 1 (* x sin)) (/ 1 (* x sin))) into (/ 1 (* (pow x 2) (pow sin 2))) * [misc]backup-simplify: Simplify (/ (cos (/ 2 x)) (/ 1 (* (pow x 2) (pow sin 2)))) into (* (pow x 2) (* (pow sin 2) (cos (/ 2 x)))) * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 x))) (* (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)))) in x * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (cos (* 2 (/ 1 x))) into (cos (/ 2 x)) * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) in x * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (* 1 (/ 1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ 1 sin)) into (/ 1 (* cos sin)) * [misc]backup-simplify: Simplify (* 1 (/ 1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ 1 sin)) into (/ 1 (* cos sin)) * [misc]backup-simplify: Simplify (* (/ 1 (* cos sin)) (/ 1 (* cos sin))) into (/ 1 (* (pow cos 2) (pow sin 2))) * [misc]backup-simplify: Simplify (/ (cos (/ 2 x)) (/ 1 (* (pow cos 2) (pow sin 2)))) into (* (pow cos 2) (* (pow sin 2) (cos (/ 2 x)))) * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 x))) (* (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)))) in x * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (cos (* 2 (/ 1 x))) into (cos (/ 2 x)) * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) in x * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (* 1 (/ 1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ 1 sin)) into (/ 1 (* cos sin)) * [misc]backup-simplify: Simplify (* 1 (/ 1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ 1 sin)) into (/ 1 (* cos sin)) * [misc]backup-simplify: Simplify (* (/ 1 (* cos sin)) (/ 1 (* cos sin))) into (/ 1 (* (pow cos 2) (pow sin 2))) * [misc]backup-simplify: Simplify (/ (cos (/ 2 x)) (/ 1 (* (pow cos 2) (pow sin 2)))) into (* (pow cos 2) (* (pow sin 2) (cos (/ 2 x)))) * [misc]taylor: Taking taylor expansion of (* (pow cos 2) (* (pow sin 2) (cos (/ 2 x)))) in cos * [misc]taylor: Taking taylor expansion of (pow cos 2) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow sin 2) (cos (/ 2 x))) in cos * [misc]taylor: Taking taylor expansion of (pow sin 2) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]taylor: Taking taylor expansion of (cos (/ 2 x)) in cos * [misc]taylor: Taking taylor expansion of (/ 2 x) in cos * [misc]taylor: Taking taylor expansion of 2 in cos * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 2 x) into (/ 2 x) * [misc]backup-simplify: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (sin (/ 2 x)) into (sin (/ 2 x)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* sin sin) into (pow sin 2) * [misc]backup-simplify: Simplify (* (cos (/ 2 x)) 1) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (* (sin (/ 2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 2 x)) 0) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (* (pow sin 2) (cos (/ 2 x))) into (* (pow sin 2) (cos (/ 2 x))) * [misc]backup-simplify: Simplify (* 1 (* (pow sin 2) (cos (/ 2 x)))) into (* (pow sin 2) (cos (/ 2 x))) * [misc]taylor: Taking taylor expansion of (* (pow sin 2) (cos (/ 2 x))) in sin * [misc]taylor: Taking taylor expansion of (pow sin 2) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 2 x)) in sin * [misc]taylor: Taking taylor expansion of (/ 2 x) in sin * [misc]taylor: Taking taylor expansion of 2 in sin * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 2 x) into (/ 2 x) * [misc]backup-simplify: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (sin (/ 2 x)) into (sin (/ 2 x)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (cos (/ 2 x)) 1) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (* (sin (/ 2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 2 x)) 0) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (* 1 (cos (/ 2 x))) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (* 0 (/ 1 sin))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (* 0 (/ 1 sin))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* cos sin)) 0) (* 0 (/ 1 (* cos sin)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (* (pow cos 2) (pow sin 2)))) (+ (* (* (pow cos 2) (* (pow sin 2) (cos (/ 2 x)))) (/ 0 (/ 1 (* (pow cos 2) (pow sin 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]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 (/ 2 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ 2 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 2 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (* 0 sin)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow sin 2) 0) (* 0 (cos (/ 2 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (* (pow sin 2) (cos (/ 2 x))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]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 (/ 2 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ 2 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 2 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (cos (/ 2 x)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (* 0 (/ 1 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (* 0 (/ 1 sin)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* cos sin)) 0) (+ (* 0 0) (* 0 (/ 1 (* cos sin))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (* (pow cos 2) (pow sin 2)))) (+ (* (* (pow cos 2) (* (pow sin 2) (cos (/ 2 x)))) (/ 0 (/ 1 (* (pow cos 2) (pow sin 2))))) (* 0 (/ 0 (/ 1 (* (pow cos 2) (pow sin 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 2 x)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ 2 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 2 x)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (+ (* 0 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow sin 2) 0) (+ (* 0 0) (* 0 (cos (/ 2 x))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (* (pow sin 2) (cos (/ 2 x)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (cos (/ 2 (/ 1 x))) (pow (* (/ 1 sin) (* (/ 1 cos) (/ 1 x))) 2)) into (/ (cos (* 2 x)) (* (pow cos 2) (* (pow x 2) (pow sin 2)))) * [misc]approximate: Taking taylor expansion of (/ (cos (* 2 (/ 1 (- x)))) (* (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))))) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 (- x)))) (* (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))))) in sin * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 (- x)))) in sin * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- x))) in sin * [misc]taylor: Taking taylor expansion of 2 in sin * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in sin * [misc]taylor: Taking taylor expansion of (- x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* 2 (/ -1 x)) into (/ -2 x) * [misc]backup-simplify: Simplify (cos (/ -2 x)) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (sin (/ -2 x)) into (sin (/ -2 x)) * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) in sin * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in sin * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in sin * [misc]taylor: Taking taylor expansion of (- x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in sin * [misc]taylor: Taking taylor expansion of (- cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in sin * [misc]taylor: Taking taylor expansion of (- sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in sin * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in sin * [misc]taylor: Taking taylor expansion of (- x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in sin * [misc]taylor: Taking taylor expansion of (- cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in sin * [misc]taylor: Taking taylor expansion of (- sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (cos (/ -2 x)) 1) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (* (sin (/ -2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -2 x)) 0) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (* (/ -1 x) (/ -1 cos)) into (/ 1 (* x cos)) * [misc]backup-simplify: Simplify (* (/ 1 (* x cos)) -1) into (/ -1 (* x cos)) * [misc]backup-simplify: Simplify (* (/ -1 x) (/ -1 cos)) into (/ 1 (* x cos)) * [misc]backup-simplify: Simplify (* (/ 1 (* x cos)) -1) into (/ -1 (* x cos)) * [misc]backup-simplify: Simplify (* (/ -1 (* x cos)) (/ -1 (* x cos))) into (/ 1 (* (pow x 2) (pow cos 2))) * [misc]backup-simplify: Simplify (/ (cos (/ -2 x)) (/ 1 (* (pow x 2) (pow cos 2)))) into (* (cos (/ -2 x)) (* (pow x 2) (pow cos 2))) * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 (- x)))) (* (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))))) in cos * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 (- x)))) in cos * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- x))) in cos * [misc]taylor: Taking taylor expansion of 2 in cos * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in cos * [misc]taylor: Taking taylor expansion of (- x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* 2 (/ -1 x)) into (/ -2 x) * [misc]backup-simplify: Simplify (cos (/ -2 x)) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (sin (/ -2 x)) into (sin (/ -2 x)) * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) in cos * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in cos * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in cos * [misc]taylor: Taking taylor expansion of (- x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in cos * [misc]taylor: Taking taylor expansion of (- cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in cos * [misc]taylor: Taking taylor expansion of (- sin) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in cos * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in cos * [misc]taylor: Taking taylor expansion of (- x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in cos * [misc]taylor: Taking taylor expansion of (- cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in cos * [misc]taylor: Taking taylor expansion of (- sin) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]backup-simplify: Simplify (* (cos (/ -2 x)) 1) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (* (sin (/ -2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -2 x)) 0) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (* (/ -1 x) -1) into (/ 1 x) * [misc]backup-simplify: Simplify (* (/ 1 x) (/ -1 sin)) into (/ -1 (* x sin)) * [misc]backup-simplify: Simplify (* (/ -1 x) -1) into (/ 1 x) * [misc]backup-simplify: Simplify (* (/ 1 x) (/ -1 sin)) into (/ -1 (* x sin)) * [misc]backup-simplify: Simplify (* (/ -1 (* x sin)) (/ -1 (* x sin))) into (/ 1 (* (pow x 2) (pow sin 2))) * [misc]backup-simplify: Simplify (/ (cos (/ -2 x)) (/ 1 (* (pow x 2) (pow sin 2)))) into (* (cos (/ -2 x)) (* (pow x 2) (pow sin 2))) * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 (- x)))) (* (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))))) in x * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (cos (* 2 (/ 1 (- x)))) into (cos (/ -2 x)) * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) in x * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in x * [misc]taylor: Taking taylor expansion of (- sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in x * [misc]taylor: Taking taylor expansion of (- sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]backup-simplify: Simplify (* -1 (/ -1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ -1 sin)) into (/ -1 (* cos sin)) * [misc]backup-simplify: Simplify (* -1 (/ -1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ -1 sin)) into (/ -1 (* cos sin)) * [misc]backup-simplify: Simplify (* (/ -1 (* cos sin)) (/ -1 (* cos sin))) into (/ 1 (* (pow cos 2) (pow sin 2))) * [misc]backup-simplify: Simplify (/ (cos (/ -2 x)) (/ 1 (* (pow cos 2) (pow sin 2)))) into (* (cos (/ -2 x)) (* (pow cos 2) (pow sin 2))) * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 (- x)))) (* (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))))) in x * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (cos (* 2 (/ 1 (- x)))) into (cos (/ -2 x)) * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) in x * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in x * [misc]taylor: Taking taylor expansion of (- sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in x * [misc]taylor: Taking taylor expansion of (- sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]backup-simplify: Simplify (* -1 (/ -1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ -1 sin)) into (/ -1 (* cos sin)) * [misc]backup-simplify: Simplify (* -1 (/ -1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ -1 sin)) into (/ -1 (* cos sin)) * [misc]backup-simplify: Simplify (* (/ -1 (* cos sin)) (/ -1 (* cos sin))) into (/ 1 (* (pow cos 2) (pow sin 2))) * [misc]backup-simplify: Simplify (/ (cos (/ -2 x)) (/ 1 (* (pow cos 2) (pow sin 2)))) into (* (cos (/ -2 x)) (* (pow cos 2) (pow sin 2))) * [misc]taylor: Taking taylor expansion of (* (cos (/ -2 x)) (* (pow cos 2) (pow sin 2))) in cos * [misc]taylor: Taking taylor expansion of (cos (/ -2 x)) in cos * [misc]taylor: Taking taylor expansion of (/ -2 x) in cos * [misc]taylor: Taking taylor expansion of -2 in cos * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ -2 x) into (/ -2 x) * [misc]backup-simplify: Simplify (cos (/ -2 x)) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (sin (/ -2 x)) into (sin (/ -2 x)) * [misc]taylor: Taking taylor expansion of (* (pow cos 2) (pow sin 2)) in cos * [misc]taylor: Taking taylor expansion of (pow cos 2) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow sin 2) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* (cos (/ -2 x)) 1) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (* (sin (/ -2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -2 x)) 0) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* sin sin) into (pow sin 2) * [misc]backup-simplify: Simplify (* 1 (pow sin 2)) into (pow sin 2) * [misc]backup-simplify: Simplify (* (cos (/ -2 x)) (pow sin 2)) into (* (cos (/ -2 x)) (pow sin 2)) * [misc]taylor: Taking taylor expansion of (* (cos (/ -2 x)) (pow sin 2)) in sin * [misc]taylor: Taking taylor expansion of (cos (/ -2 x)) in sin * [misc]taylor: Taking taylor expansion of (/ -2 x) in sin * [misc]taylor: Taking taylor expansion of -2 in sin * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ -2 x) into (/ -2 x) * [misc]backup-simplify: Simplify (cos (/ -2 x)) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (sin (/ -2 x)) into (sin (/ -2 x)) * [misc]taylor: Taking taylor expansion of (pow sin 2) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (cos (/ -2 x)) 1) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (* (sin (/ -2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -2 x)) 0) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (cos (/ -2 x)) 1) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (cos (/ -2 x)) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (* 0 (/ -1 sin))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (* 0 (/ -1 sin))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 (* cos sin)) 0) (* 0 (/ -1 (* cos sin)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (* (pow cos 2) (pow sin 2)))) (+ (* (* (cos (/ -2 x)) (* (pow cos 2) (pow sin 2))) (/ 0 (/ 1 (* (pow cos 2) (pow sin 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (* 0 sin)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow sin 2))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ -2 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -2 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 0) (* 0 (pow sin 2))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ -2 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -2 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))) (* 0 (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))) (* 0 (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (* 0 (/ -1 sin)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))) (* 0 (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))) (* 0 (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (* 0 (/ -1 sin)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 (* cos sin)) 0) (+ (* 0 0) (* 0 (/ -1 (* cos sin))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (* (pow cos 2) (pow sin 2)))) (+ (* (* (cos (/ -2 x)) (* (pow cos 2) (pow sin 2))) (/ 0 (/ 1 (* (pow cos 2) (pow sin 2))))) (* 0 (/ 0 (/ 1 (* (pow cos 2) (pow sin 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (+ (* 0 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow sin 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ -2 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -2 x)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 0) (+ (* 0 0) (* 0 (pow sin 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (cos (/ -2 (/ 1 (- x)))) (pow (* (/ 1 (- sin)) (* (/ 1 (- cos)) (/ 1 (- x)))) 2)) into (/ (cos (* 2 x)) (* (pow cos 2) (* (pow x 2) (pow sin 2)))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (* (* (* x cos) sin) (* (* x cos) sin)) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (* (* (* x cos) sin) (* (* x cos) sin)) in sin * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in sin * [misc]taylor: Taking taylor expansion of (* x cos) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in sin * [misc]taylor: Taking taylor expansion of (* x cos) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (* x cos) sin) (* (* x cos) sin)) in cos * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in cos * [misc]taylor: Taking taylor expansion of (* x cos) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in cos * [misc]taylor: Taking taylor expansion of (* x cos) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]taylor: Taking taylor expansion of (* (* (* x cos) sin) (* (* x cos) sin)) in x * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in x * [misc]taylor: Taking taylor expansion of (* x cos) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in x * [misc]taylor: Taking taylor expansion of (* x cos) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]taylor: Taking taylor expansion of (* (* (* x cos) sin) (* (* x cos) sin)) in x * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in x * [misc]taylor: Taking taylor expansion of (* x cos) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in x * [misc]taylor: Taking taylor expansion of (* x cos) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 cos) into 0 * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (* 0 cos) into 0 * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 cos)) into cos * [misc]backup-simplify: Simplify (+ (* 0 0) (* cos sin)) into (* cos sin) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 cos)) into cos * [misc]backup-simplify: Simplify (+ (* 0 0) (* cos sin)) into (* cos sin) * [misc]backup-simplify: Simplify (+ (* 0 (* cos sin)) (* (* cos sin) 0)) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (* cos sin) (* cos sin)) (* 0 0))) into (* (pow cos 2) (pow sin 2)) * [misc]taylor: Taking taylor expansion of (* (pow cos 2) (pow sin 2)) in cos * [misc]taylor: Taking taylor expansion of (pow cos 2) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow sin 2) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) in sin * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in sin * [misc]taylor: Taking taylor expansion of (/ 1 x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in sin * [misc]taylor: Taking taylor expansion of (/ 1 x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) in cos * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in cos * [misc]taylor: Taking taylor expansion of (/ 1 x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 sin) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in cos * [misc]taylor: Taking taylor expansion of (/ 1 x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 sin) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) in x * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) in x * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (* 1 (/ 1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ 1 sin)) into (/ 1 (* cos sin)) * [misc]backup-simplify: Simplify (* 1 (/ 1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ 1 sin)) into (/ 1 (* cos sin)) * [misc]backup-simplify: Simplify (* (/ 1 (* cos sin)) (/ 1 (* cos sin))) into (/ 1 (* (pow cos 2) (pow sin 2))) * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow cos 2) (pow sin 2))) in cos * [misc]taylor: Taking taylor expansion of (* (pow cos 2) (pow sin 2)) in cos * [misc]taylor: Taking taylor expansion of (pow cos 2) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow sin 2) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* sin sin) into (pow sin 2) * [misc]backup-simplify: Simplify (* 1 (pow sin 2)) into (pow sin 2) * [misc]backup-simplify: Simplify (/ 1 (pow sin 2)) into (/ 1 (pow sin 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow sin 2)) in sin * [misc]taylor: Taking taylor expansion of (pow sin 2) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (* 0 (/ 1 sin))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (* 0 (/ 1 sin))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* cos sin)) 0) (* 0 (/ 1 (* cos sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (* 0 sin)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow sin 2))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow sin 2)) (/ 0 (pow sin 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (* 0 (/ 1 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (* 0 (/ 1 sin)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* cos sin)) 0) (+ (* 0 0) (* 0 (/ 1 (* cos sin))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (+ (* 0 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow sin 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow sin 2)) (/ 0 (pow sin 2))) (* 0 (/ 0 (pow sin 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 cos))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 sin))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 cos))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 sin))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* cos sin)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* cos sin)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow sin 2))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow sin 2)) (/ 0 (pow sin 2))) (* 0 (/ 0 (pow sin 2))) (* 0 (/ 0 (pow sin 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)) (* 0 (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)) (* 0 (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 cos)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 sin)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)) (* 0 (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)) (* 0 (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 cos)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 sin)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* cos sin)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* cos sin))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow sin 2)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow sin 2)) (/ 0 (pow sin 2))) (* 0 (/ 0 (pow sin 2))) (* 0 (/ 0 (pow sin 2))) (* 0 (/ 0 (pow sin 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (pow (* (/ 1 (/ 1 sin)) (* (/ 1 (/ 1 cos)) (/ 1 (/ 1 x)))) 2)) into (* (pow x 2) (* (pow sin 2) (pow cos 2))) * [misc]approximate: Taking taylor expansion of (* (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) in sin * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in sin * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in sin * [misc]taylor: Taking taylor expansion of (- x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in sin * [misc]taylor: Taking taylor expansion of (- cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in sin * [misc]taylor: Taking taylor expansion of (- sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in sin * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in sin * [misc]taylor: Taking taylor expansion of (- x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in sin * [misc]taylor: Taking taylor expansion of (- cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in sin * [misc]taylor: Taking taylor expansion of (- sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) in cos * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in cos * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in cos * [misc]taylor: Taking taylor expansion of (- x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in cos * [misc]taylor: Taking taylor expansion of (- cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in cos * [misc]taylor: Taking taylor expansion of (- sin) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in cos * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in cos * [misc]taylor: Taking taylor expansion of (- x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in cos * [misc]taylor: Taking taylor expansion of (- cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in cos * [misc]taylor: Taking taylor expansion of (- sin) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) in x * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in x * [misc]taylor: Taking taylor expansion of (- sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in x * [misc]taylor: Taking taylor expansion of (- sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) in x * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in x * [misc]taylor: Taking taylor expansion of (- sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in x * [misc]taylor: Taking taylor expansion of (- sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]backup-simplify: Simplify (* -1 (/ -1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ -1 sin)) into (/ -1 (* cos sin)) * [misc]backup-simplify: Simplify (* -1 (/ -1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ -1 sin)) into (/ -1 (* cos sin)) * [misc]backup-simplify: Simplify (* (/ -1 (* cos sin)) (/ -1 (* cos sin))) into (/ 1 (* (pow cos 2) (pow sin 2))) * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow cos 2) (pow sin 2))) in cos * [misc]taylor: Taking taylor expansion of (* (pow cos 2) (pow sin 2)) in cos * [misc]taylor: Taking taylor expansion of (pow cos 2) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow sin 2) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* sin sin) into (pow sin 2) * [misc]backup-simplify: Simplify (* 1 (pow sin 2)) into (pow sin 2) * [misc]backup-simplify: Simplify (/ 1 (pow sin 2)) into (/ 1 (pow sin 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow sin 2)) in sin * [misc]taylor: Taking taylor expansion of (pow sin 2) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (* 0 (/ -1 sin))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (* 0 (/ -1 sin))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 (* cos sin)) 0) (* 0 (/ -1 (* cos sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (* 0 sin)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow sin 2))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow sin 2)) (/ 0 (pow sin 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))) (* 0 (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))) (* 0 (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (* 0 (/ -1 sin)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))) (* 0 (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))) (* 0 (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (* 0 (/ -1 sin)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 (* cos sin)) 0) (+ (* 0 0) (* 0 (/ -1 (* cos sin))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (+ (* 0 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow sin 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow sin 2)) (/ 0 (pow sin 2))) (* 0 (/ 0 (pow sin 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))) (* 0 (/ 0 (- sin))) (* 0 (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))) (* 0 (/ 0 (- cos))) (* 0 (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 cos))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))) (* 0 (/ 0 (- sin))) (* 0 (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))) (* 0 (/ 0 (- cos))) (* 0 (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 cos))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 sin))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 (* cos sin)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 (* cos sin)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow sin 2))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow sin 2)) (/ 0 (pow sin 2))) (* 0 (/ 0 (pow sin 2))) (* 0 (/ 0 (pow sin 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))) (* 0 (/ 0 (- sin))) (* 0 (/ 0 (- sin))) (* 0 (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))) (* 0 (/ 0 (- cos))) (* 0 (/ 0 (- cos))) (* 0 (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 cos)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 sin)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))) (* 0 (/ 0 (- sin))) (* 0 (/ 0 (- sin))) (* 0 (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))) (* 0 (/ 0 (- cos))) (* 0 (/ 0 (- cos))) (* 0 (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 cos)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 sin)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 (* cos sin)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 (* cos sin))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow sin 2)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow sin 2)) (/ 0 (pow sin 2))) (* 0 (/ 0 (pow sin 2))) (* 0 (/ 0 (pow sin 2))) (* 0 (/ 0 (pow sin 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (pow (* (/ 1 (/ 1 (- sin))) (* (/ 1 (/ 1 (- cos))) (/ 1 (/ 1 (- x))))) 2)) into (* (pow x 2) (* (pow sin 2) (pow cos 2))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (cos (* 2 x))) (+ (log (* (* x cos) sin)) (log (* (* x cos) sin)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (291 enodes) * [exit]simplify: Simplified to (- (log (cos (* 2 x))) (+ (log (* cos (* x sin))) (log (* cos (* x sin))))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (exp (- (log (cos (* 2 x))) (+ (log (* cos (* x sin))) (log (* cos (* x sin))))))) * * * * [misc]progress: [ 21 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (cos (* 2 x))) (log (* (* (* x cos) sin) (* (* x cos) sin)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (454 enodes) * [exit]simplify: Simplified to (- (log (cos (* 2 x))) (log (* (* (* sin cos) x) (* (* sin cos) x)))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (exp (- (log (cos (* 2 x))) (log (* (* (* sin cos) x) (* (* sin cos) x)))))) * * * * [misc]progress: [ 22 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (cos (* 2 x)) (cos (* 2 x))) (cos (* 2 x))) (* (* (* (* (* x cos) sin) (* (* x cos) sin)) (* (* x cos) sin)) (* (* (* (* x cos) sin) (* (* x cos) sin)) (* (* x cos) sin)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (163 enodes) * [exit]simplify: Simplified to (* (* (/ (cos (* 2 x)) (* x (* cos sin))) (/ (cos (* 2 x)) (* x (* cos sin)))) (/ (cos (* 2 x)) (pow (* x (* cos sin)) 4))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (cbrt (* (* (/ (cos (* 2 x)) (* x (* cos sin))) (/ (cos (* 2 x)) (* x (* cos sin)))) (/ (cos (* 2 x)) (pow (* x (* cos sin)) 4))))) * * * * [misc]progress: [ 25 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (cos (* 2 x)) (cos (* 2 x))) (cos (* 2 x))) (* (* (* (* (* x cos) sin) (* (* x cos) sin)) (* (* (* x cos) sin) (* (* x cos) sin))) (* (* (* x cos) sin) (* (* x cos) sin)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * [exit]simplify: Simplified to (pow (/ (/ (cos (* 2 x)) (* (* sin x) cos)) (* (* sin x) cos)) 3) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (cbrt (pow (/ (/ (cos (* 2 x)) (* (* sin x) cos)) (* (* sin x) cos)) 3))) * * * * [misc]progress: [ 26 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cos x) (cos x)) (* (* (* x cos) sin) (* (* x cos) sin))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (358 enodes) * [exit]simplify: Simplified to (* (/ (/ (cos x) (* cos x)) sin) (/ (/ (cos x) (* cos x)) sin)) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (- (* (/ (/ (cos x) (* cos x)) sin) (/ (/ (cos x) (* cos x)) sin)) (/ (* (sin x) (sin x)) (* (* (* x cos) sin) (* (* x cos) sin))))) * * * * [misc]progress: [ 31 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) (* (* x cos) sin)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (188 enodes) * * [misc]simplify: iters left: 1 (217 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (cos (* 2 x))) (* cos (* sin x))) (cbrt (cos (* 2 x)))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (* (* (/ (cbrt (cos (* 2 x))) (* cos (* sin x))) (cbrt (cos (* 2 x)))) (/ (cbrt (cos (* 2 x))) (* (* x cos) sin)))) * [enter]simplify: Simplifying (/ (cbrt (cos (* 2 x))) (* (* x cos) sin)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos (* 2 x))) (* (* sin cos) x)) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (* (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) (* (* x cos) sin)) (/ (cbrt (cos (* 2 x))) (* (* sin cos) x)))) * * * * [misc]progress: [ 32 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cos (* 2 x))) (* (* x cos) sin)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos (* 2 x))) (* (* sin cos) x)) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (* (/ (sqrt (cos (* 2 x))) (* (* sin cos) x)) (/ (sqrt (cos (* 2 x))) (* (* x cos) sin)))) * [enter]simplify: Simplifying (/ (sqrt (cos (* 2 x))) (* (* x cos) sin)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos (* 2 x))) (* (* sin cos) x)) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (* (/ (sqrt (cos (* 2 x))) (* (* x cos) sin)) (/ (sqrt (cos (* 2 x))) (* (* sin cos) x)))) * * * * [misc]progress: [ 33 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (* x cos) sin)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (/ (/ 1 (* cos x)) sin) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (* (/ (/ 1 (* cos x)) sin) (/ (cos (* 2 x)) (* (* x cos) sin)))) * [enter]simplify: Simplifying (/ (cos (* 2 x)) (* (* x cos) sin)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (/ (cos (* 2 x)) (* (* x cos) sin)) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (* (/ 1 (* (* x cos) sin)) (/ (cos (* 2 x)) (* (* x cos) sin)))) * * * * [misc]progress: [ 34 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* x cos) sin) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (* x cos) sin) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (/ (/ (cos (* 2 x)) (* (* x cos) sin)) (* (* x cos) sin))) * * * * [misc]progress: [ 38 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) (/ (* (* (* x cos) sin) (* (* x cos) sin)) (cbrt (cos (* 2 x)))))) * * * * [misc]progress: [ 39 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cos (* 2 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (cos (* 2 x))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (/ (sqrt (cos (* 2 x))) (/ (* (* (* x cos) sin) (* (* x cos) sin)) (sqrt (cos (* 2 x)))))) * * * * [misc]progress: [ 40 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* x cos) sin) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (* x cos) sin) * [misc]simplify: Simplified (2 2 1) to (λ (x cos sin) (/ (cos (* 2 x)) (pow (* (* x cos) sin) (+ 1 1)))) * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 2 * [misc]simplify: Simplified (2 2 2) to (λ (x cos sin) (/ (cos (* 2 x)) (pow (* (* x cos) sin) 2))) * * * * [misc]progress: [ 42 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* x cos) sin) (* (* x cos) sin)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (198 enodes) * * [misc]simplify: iters left: 1 (299 enodes) * [exit]simplify: Simplified to (* (* (* sin x) cos) (* (* sin x) cos)) * [misc]simplify: Simplified (2 2 1) to (λ (x cos sin) (/ (cos (* 2 x)) (pow (* (* (* sin x) cos) (* (* sin x) cos)) 1))) * * * * [misc]progress: [ 43 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* x cos) sin) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (* x cos) sin) * [misc]simplify: Simplified (2 2 1) to (λ (x cos sin) (/ (cos (* 2 x)) (pow (* (* x cos) sin) (+ 1 1)))) * * * * [misc]progress: [ 45 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* (* x cos) sin)) (log (* (* x cos) sin))) * * [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 (58 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (189 enodes) * [exit]simplify: Simplified to (+ (log (* (* sin x) cos)) (log (* (* sin x) cos))) * [misc]simplify: Simplified (2 2 1) to (λ (x cos sin) (/ (cos (* 2 x)) (exp (+ (log (* (* sin x) cos)) (log (* (* sin x) cos)))))) * * * * [misc]progress: [ 47 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (* x cos) sin) (* (* x cos) sin)) (* (* x cos) sin)) (* (* (* (* x cos) sin) (* (* x cos) sin)) (* (* x cos) sin))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (372 enodes) * [exit]simplify: Simplified to (pow (* (* x (* sin cos)) (* x (* sin cos))) 3) * [misc]simplify: Simplified (2 2 1) to (λ (x cos sin) (/ (cos (* 2 x)) (cbrt (pow (* (* x (* sin cos)) (* x (* sin cos))) 3)))) * * * * [misc]progress: [ 50 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* x cos) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* x cos) * [misc]simplify: Simplified (2 2 1) to (λ (x cos sin) (/ (cos (* 2 x)) (* (* x cos) (* sin (* (* x cos) sin))))) * * * * [misc]progress: [ 56 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 2) to (λ (x cos sin) (/ (cos (* 2 x)) (* (* (* x cos) sin) 0))) * * * * [misc]progress: [ 58 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* x (* sin cos)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (* cos sin) x) * [misc]simplify: Simplified (2 2 2) to (λ (x cos sin) (/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* cos sin) x)))) * * * * [misc]progress: [ 59 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* x (* sin cos)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (* cos sin) x) * [misc]simplify: Simplified (2 2 2) to (λ (x cos sin) (/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* cos sin) x)))) * * * * [misc]progress: [ 60 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1) to (λ (x cos sin) (/ (cos (* 2 x)) (* 0 (* (* x cos) sin)))) * * * * [misc]progress: [ 61 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* x (* sin cos)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (* cos sin) x) * [misc]simplify: Simplified (2 2 1) to (λ (x cos sin) (/ (cos (* 2 x)) (* (* (* cos sin) x) (* (* x cos) sin)))) * * * * [misc]progress: [ 62 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* x (* sin cos)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (* cos sin) x) * [misc]simplify: Simplified (2 2 1) to (λ (x cos sin) (/ (cos (* 2 x)) (* (* (* cos sin) x) (* (* x cos) sin)))) * * * * [misc]progress: [ 63 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ 1 (* (pow x 2) (* (pow sin 2) (pow cos 2)))) (* 2/3 (/ (pow x 2) (* (pow sin 2) (pow cos 2))))) (* 2 (/ 1 (* (pow sin 2) (pow cos 2))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (388 enodes) * [exit]simplify: Simplified to (+ (/ (* (* x x) 2/3) (* (* cos sin) (* cos sin))) (+ (/ (/ 1 (* x x)) (* (* cos sin) (* cos sin))) (/ -2 (* (* cos sin) (* cos sin))))) * [misc]simplify: Simplified (2) to (λ (x cos sin) (+ (/ (* (* x x) 2/3) (* (* cos sin) (* cos sin))) (+ (/ (/ 1 (* x x)) (* (* cos sin) (* cos sin))) (/ -2 (* (* cos sin) (* cos sin)))))) * * * * [misc]progress: [ 64 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos (* 2 x)) (* (pow cos 2) (* (pow x 2) (pow sin 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (224 enodes) * * [misc]simplify: iters left: 1 (356 enodes) * [exit]simplify: Simplified to (/ (cos (* 2 x)) (* (* (* x sin) cos) (* (* x sin) cos))) * [misc]simplify: Simplified (2) to (λ (x cos sin) (/ (cos (* 2 x)) (* (* (* x sin) cos) (* (* x sin) cos)))) * * * * [misc]progress: [ 65 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos (* 2 x)) (* (pow cos 2) (* (pow x 2) (pow sin 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (224 enodes) * * [misc]simplify: iters left: 1 (356 enodes) * [exit]simplify: Simplified to (/ (cos (* 2 x)) (* (* (* x sin) cos) (* (* x sin) cos))) * [misc]simplify: Simplified (2) to (λ (x cos sin) (/ (cos (* 2 x)) (* (* (* x sin) cos) (* (* x sin) cos)))) * * * * [misc]progress: [ 66 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (/ (cos (* 2 x)) 0)) * * * * [misc]progress: [ 67 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* (pow x 2) (* (pow sin 2) (pow cos 2))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (198 enodes) * [exit]simplify: Simplified to (* (* (* cos x) sin) (* (* cos x) sin)) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (/ (cos (* 2 x)) (* (* (* cos x) sin) (* (* cos x) sin)))) * * * * [misc]progress: [ 68 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* (pow x 2) (* (pow sin 2) (pow cos 2))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (198 enodes) * [exit]simplify: Simplified to (* (* (* cos x) sin) (* (* cos x) sin)) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (/ (cos (* 2 x)) (* (* (* cos x) sin) (* (* cos x) sin)))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (* (* x cos) sin) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in sin * [misc]taylor: Taking taylor expansion of (* x cos) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in cos * [misc]taylor: Taking taylor expansion of (* x cos) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in x * [misc]taylor: Taking taylor expansion of (* x cos) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in x * [misc]taylor: Taking taylor expansion of (* x cos) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 cos) into 0 * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 cos)) into cos * [misc]backup-simplify: Simplify (+ (* 0 0) (* cos sin)) into (* cos sin) * [misc]taylor: Taking taylor expansion of (* cos sin) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (* 0 sin))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 sin)) into sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]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]approximate: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in sin * [misc]taylor: Taking taylor expansion of (/ 1 x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in cos * [misc]taylor: Taking taylor expansion of (/ 1 x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 sin) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (* 1 (/ 1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ 1 sin)) into (/ 1 (* cos sin)) * [misc]taylor: Taking taylor expansion of (/ 1 (* cos sin)) in cos * [misc]taylor: Taking taylor expansion of (* cos sin) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 sin)) into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (* 0 (/ 1 sin))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (* 0 (/ 1 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 cos))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 sin))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* (/ 1 (/ 1 sin)) (* (/ 1 (/ 1 cos)) (/ 1 (/ 1 x))))) into (* x (* sin cos)) * [misc]approximate: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in sin * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in sin * [misc]taylor: Taking taylor expansion of (- x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in sin * [misc]taylor: Taking taylor expansion of (- cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in sin * [misc]taylor: Taking taylor expansion of (- sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in cos * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in cos * [misc]taylor: Taking taylor expansion of (- x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in cos * [misc]taylor: Taking taylor expansion of (- cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in cos * [misc]taylor: Taking taylor expansion of (- sin) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in x * [misc]taylor: Taking taylor expansion of (- sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in x * [misc]taylor: Taking taylor expansion of (- sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]backup-simplify: Simplify (* -1 (/ -1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ -1 sin)) into (/ -1 (* cos sin)) * [misc]taylor: Taking taylor expansion of (/ -1 (* cos sin)) in cos * [misc]taylor: Taking taylor expansion of -1 in cos * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* cos sin) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 sin)) into sin * [misc]backup-simplify: Simplify (/ -1 sin) into (/ -1 sin) * [misc]taylor: Taking taylor expansion of (/ -1 sin) in sin * [misc]taylor: Taking taylor expansion of -1 in sin * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (* 0 (/ -1 sin))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 sin) (+ (* (/ -1 sin) (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))) (* 0 (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))) (* 0 (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (* 0 (/ -1 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 sin) (+ (* (/ -1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))) (* 0 (/ 0 (- sin))) (* 0 (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))) (* 0 (/ 0 (- cos))) (* 0 (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 cos))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 sin))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 sin) (+ (* (/ -1 sin) (/ 0 sin)) (* 0 (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 (* (/ 1 (/ 1 (- sin))) (* (/ 1 (/ 1 (- cos))) (/ 1 (/ 1 (- x)))))) into (* x (* sin cos)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (* (* x cos) sin) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in sin * [misc]taylor: Taking taylor expansion of (* x cos) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in cos * [misc]taylor: Taking taylor expansion of (* x cos) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in x * [misc]taylor: Taking taylor expansion of (* x cos) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in x * [misc]taylor: Taking taylor expansion of (* x cos) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 cos) into 0 * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 cos)) into cos * [misc]backup-simplify: Simplify (+ (* 0 0) (* cos sin)) into (* cos sin) * [misc]taylor: Taking taylor expansion of (* cos sin) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (* 0 sin))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 sin)) into sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]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]approximate: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in sin * [misc]taylor: Taking taylor expansion of (/ 1 x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in cos * [misc]taylor: Taking taylor expansion of (/ 1 x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 sin) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (* 1 (/ 1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ 1 sin)) into (/ 1 (* cos sin)) * [misc]taylor: Taking taylor expansion of (/ 1 (* cos sin)) in cos * [misc]taylor: Taking taylor expansion of (* cos sin) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 sin)) into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (* 0 (/ 1 sin))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (* 0 (/ 1 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 cos))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 sin))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* (/ 1 (/ 1 sin)) (* (/ 1 (/ 1 cos)) (/ 1 (/ 1 x))))) into (* x (* sin cos)) * [misc]approximate: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in sin * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in sin * [misc]taylor: Taking taylor expansion of (- x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in sin * [misc]taylor: Taking taylor expansion of (- cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in sin * [misc]taylor: Taking taylor expansion of (- sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in cos * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in cos * [misc]taylor: Taking taylor expansion of (- x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in cos * [misc]taylor: Taking taylor expansion of (- cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in cos * [misc]taylor: Taking taylor expansion of (- sin) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in x * [misc]taylor: Taking taylor expansion of (- sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in x * [misc]taylor: Taking taylor expansion of (- sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]backup-simplify: Simplify (* -1 (/ -1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ -1 sin)) into (/ -1 (* cos sin)) * [misc]taylor: Taking taylor expansion of (/ -1 (* cos sin)) in cos * [misc]taylor: Taking taylor expansion of -1 in cos * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* cos sin) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 sin)) into sin * [misc]backup-simplify: Simplify (/ -1 sin) into (/ -1 sin) * [misc]taylor: Taking taylor expansion of (/ -1 sin) in sin * [misc]taylor: Taking taylor expansion of -1 in sin * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (* 0 (/ -1 sin))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 sin) (+ (* (/ -1 sin) (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))) (* 0 (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))) (* 0 (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (* 0 (/ -1 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 sin) (+ (* (/ -1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))) (* 0 (/ 0 (- sin))) (* 0 (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))) (* 0 (/ 0 (- cos))) (* 0 (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 cos))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 sin))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 sin) (+ (* (/ -1 sin) (/ 0 sin)) (* 0 (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 (* (/ 1 (/ 1 (- sin))) (* (/ 1 (/ 1 (- cos))) (/ 1 (/ 1 (- x)))))) into (* x (* sin cos)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (cos (* 2 x)) (* (* x cos) sin)) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 x)) (* (* x cos) sin)) in sin * [misc]taylor: Taking taylor expansion of (cos (* 2 x)) in sin * [misc]taylor: Taking taylor expansion of (* 2 x) in sin * [misc]taylor: Taking taylor expansion of 2 in sin * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 2 x) into (* 2 x) * [misc]backup-simplify: Simplify (cos (* 2 x)) into (cos (* 2 x)) * [misc]backup-simplify: Simplify (sin (* 2 x)) into (sin (* 2 x)) * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in sin * [misc]taylor: Taking taylor expansion of (* x cos) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (cos (* 2 x)) 1) into (cos (* 2 x)) * [misc]backup-simplify: Simplify (* (sin (* 2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 2 x)) 0) into (cos (* 2 x)) * [misc]backup-simplify: Simplify (* x cos) into (* x cos) * [misc]backup-simplify: Simplify (* (* x cos) 0) into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (* 0 cos)) into 0 * [misc]backup-simplify: Simplify (+ (* (* x cos) 1) (* 0 0)) into (* x cos) * [misc]backup-simplify: Simplify (/ (cos (* 2 x)) (* x cos)) into (/ (cos (* 2 x)) (* x cos)) * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 x)) (* (* x cos) sin)) in cos * [misc]taylor: Taking taylor expansion of (cos (* 2 x)) in cos * [misc]taylor: Taking taylor expansion of (* 2 x) in cos * [misc]taylor: Taking taylor expansion of 2 in cos * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 2 x) into (* 2 x) * [misc]backup-simplify: Simplify (cos (* 2 x)) into (cos (* 2 x)) * [misc]backup-simplify: Simplify (sin (* 2 x)) into (sin (* 2 x)) * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in cos * [misc]taylor: Taking taylor expansion of (* x cos) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* (cos (* 2 x)) 1) into (cos (* 2 x)) * [misc]backup-simplify: Simplify (* (sin (* 2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 2 x)) 0) into (cos (* 2 x)) * [misc]backup-simplify: Simplify (* x 0) into 0 * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* x 1) (* 0 0)) into x * [misc]backup-simplify: Simplify (+ (* 0 0) (* x sin)) into (* x sin) * [misc]backup-simplify: Simplify (/ (cos (* 2 x)) (* x sin)) into (/ (cos (* 2 x)) (* x sin)) * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 x)) (* (* x cos) sin)) in x * [misc]taylor: Taking taylor expansion of (cos (* 2 x)) in x * [misc]taylor: Taking taylor expansion of (* 2 x) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in x * [misc]taylor: Taking taylor expansion of (* x cos) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 cos) into 0 * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 cos)) into cos * [misc]backup-simplify: Simplify (+ (* 0 0) (* cos sin)) into (* cos sin) * [misc]backup-simplify: Simplify (/ 1 (* cos sin)) into (/ 1 (* cos sin)) * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 x)) (* (* x cos) sin)) in x * [misc]taylor: Taking taylor expansion of (cos (* 2 x)) in x * [misc]taylor: Taking taylor expansion of (* 2 x) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in x * [misc]taylor: Taking taylor expansion of (* x cos) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 cos) into 0 * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 cos)) into cos * [misc]backup-simplify: Simplify (+ (* 0 0) (* cos sin)) into (* cos sin) * [misc]backup-simplify: Simplify (/ 1 (* cos sin)) into (/ 1 (* cos sin)) * [misc]taylor: Taking taylor expansion of (/ 1 (* cos sin)) in cos * [misc]taylor: Taking taylor expansion of (* cos sin) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 sin)) into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* cos sin)) (+ (* (/ 1 (* cos sin)) (/ 0 (* cos sin))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 2 2) 2)) 0) into (- 2) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (+ (* 0 0) (* 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (/ (- 2) (* cos sin)) (+ (* (/ 1 (* cos sin)) (/ 0 (* cos sin))) (* 0 (/ 0 (* cos sin))))) into (- (* 2 (/ 1 (* cos sin)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (* cos sin)))) in cos * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* cos sin))) in cos * [misc]taylor: Taking taylor expansion of 2 in cos * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (* cos sin)) in cos * [misc]taylor: Taking taylor expansion of (* cos sin) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 sin)) into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (* 2 (/ 1 sin)) into (/ 2 sin) * [misc]backup-simplify: Simplify (- (/ 2 sin)) into (- (* 2 (/ 1 sin))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 sin))) in sin * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 sin)) in sin * [misc]taylor: Taking taylor expansion of 2 in sin * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 2 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* cos sin)) (+ (* (/ 1 (* cos sin)) (/ 0 (* cos sin))) (* 0 (/ 0 (* cos sin))) (* (- (* 2 (/ 1 (* cos sin)))) (/ 0 (* cos sin))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 sin))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -2 (* (/ 1 sin) (* (/ 1 cos) x))) (* 1 (* (/ 1 sin) (* (/ 1 cos) (/ 1 x))))) into (- (/ 1 (* x (* sin cos))) (* 2 (/ x (* sin cos)))) * [misc]approximate: Taking taylor expansion of (/ (cos (* 2 (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) in sin * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 x))) in sin * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in sin * [misc]taylor: Taking taylor expansion of 2 in sin * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 2 (/ 1 x)) into (/ 2 x) * [misc]backup-simplify: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (sin (/ 2 x)) into (sin (/ 2 x)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in sin * [misc]taylor: Taking taylor expansion of (/ 1 x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (cos (/ 2 x)) 1) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (* (sin (/ 2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 2 x)) 0) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (* (/ 1 x) (/ 1 cos)) into (/ 1 (* x cos)) * [misc]backup-simplify: Simplify (* (/ 1 (* x cos)) 1) into (/ 1 (* x cos)) * [misc]backup-simplify: Simplify (/ (cos (/ 2 x)) (/ 1 (* x cos))) into (* x (* cos (cos (/ 2 x)))) * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) in cos * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 x))) in cos * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in cos * [misc]taylor: Taking taylor expansion of 2 in cos * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 2 (/ 1 x)) into (/ 2 x) * [misc]backup-simplify: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (sin (/ 2 x)) into (sin (/ 2 x)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in cos * [misc]taylor: Taking taylor expansion of (/ 1 x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 sin) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (* (cos (/ 2 x)) 1) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (* (sin (/ 2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 2 x)) 0) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (* (/ 1 x) 1) into (/ 1 x) * [misc]backup-simplify: Simplify (* (/ 1 x) (/ 1 sin)) into (/ 1 (* x sin)) * [misc]backup-simplify: Simplify (/ (cos (/ 2 x)) (/ 1 (* x sin))) into (* x (* sin (cos (/ 2 x)))) * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) in x * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (cos (* 2 (/ 1 x))) into (cos (/ 2 x)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (* 1 (/ 1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ 1 sin)) into (/ 1 (* cos sin)) * [misc]backup-simplify: Simplify (/ (cos (/ 2 x)) (/ 1 (* cos sin))) into (* cos (* sin (cos (/ 2 x)))) * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) in x * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (cos (* 2 (/ 1 x))) into (cos (/ 2 x)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (* 1 (/ 1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ 1 sin)) into (/ 1 (* cos sin)) * [misc]backup-simplify: Simplify (/ (cos (/ 2 x)) (/ 1 (* cos sin))) into (* cos (* sin (cos (/ 2 x)))) * [misc]taylor: Taking taylor expansion of (* cos (* sin (cos (/ 2 x)))) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* sin (cos (/ 2 x))) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]taylor: Taking taylor expansion of (cos (/ 2 x)) in cos * [misc]taylor: Taking taylor expansion of (/ 2 x) in cos * [misc]taylor: Taking taylor expansion of 2 in cos * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 2 x) into (/ 2 x) * [misc]backup-simplify: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (sin (/ 2 x)) into (sin (/ 2 x)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 2 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ 2 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 2 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (cos (/ 2 x)) 1) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (* (sin (/ 2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 2 x)) 0) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (+ (* sin 0) (* 0 (cos (/ 2 x)))) into 0 * [misc]backup-simplify: Simplify (* sin (cos (/ 2 x))) into (* sin (cos (/ 2 x))) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* sin (cos (/ 2 x))))) into (* sin (cos (/ 2 x))) * [misc]taylor: Taking taylor expansion of (* sin (cos (/ 2 x))) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 2 x)) in sin * [misc]taylor: Taking taylor expansion of (/ 2 x) in sin * [misc]taylor: Taking taylor expansion of 2 in sin * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 2 x) into (/ 2 x) * [misc]backup-simplify: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (sin (/ 2 x)) into (sin (/ 2 x)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 2 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ 2 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 2 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (cos (/ 2 x)) 1) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (* (sin (/ 2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 2 x)) 0) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (cos (/ 2 x)))) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (* 0 (/ 1 sin))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (* cos sin))) (+ (* (* cos (* sin (cos (/ 2 x)))) (/ 0 (/ 1 (* cos sin)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 2 x)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ 2 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 2 x)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (+ (* 0 0) (* 0 (cos (/ 2 x))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* sin (cos (/ 2 x)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 2 x)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ 2 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 2 x)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 2 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (* 0 (/ 1 sin)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (* cos sin))) (+ (* (* cos (* sin (cos (/ 2 x)))) (/ 0 (/ 1 (* cos sin)))) (* 0 (/ 0 (/ 1 (* cos sin)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 2 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ 2 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 2 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 2 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* sin (cos (/ 2 x))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (cos (/ 2 (/ 1 x))) (* (/ 1 sin) (* (/ 1 cos) (/ 1 x)))) into (/ (cos (* 2 x)) (* cos (* x sin))) * [misc]approximate: Taking taylor expansion of (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) in sin * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 (- x)))) in sin * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- x))) in sin * [misc]taylor: Taking taylor expansion of 2 in sin * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in sin * [misc]taylor: Taking taylor expansion of (- x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* 2 (/ -1 x)) into (/ -2 x) * [misc]backup-simplify: Simplify (cos (/ -2 x)) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (sin (/ -2 x)) into (sin (/ -2 x)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in sin * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in sin * [misc]taylor: Taking taylor expansion of (- x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in sin * [misc]taylor: Taking taylor expansion of (- cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in sin * [misc]taylor: Taking taylor expansion of (- sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (cos (/ -2 x)) 1) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (* (sin (/ -2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -2 x)) 0) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (* (/ -1 x) (/ -1 cos)) into (/ 1 (* x cos)) * [misc]backup-simplify: Simplify (* (/ 1 (* x cos)) -1) into (/ -1 (* x cos)) * [misc]backup-simplify: Simplify (/ (cos (/ -2 x)) (/ -1 (* x cos))) into (* -1 (* (cos (/ -2 x)) (* x cos))) * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) in cos * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 (- x)))) in cos * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- x))) in cos * [misc]taylor: Taking taylor expansion of 2 in cos * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in cos * [misc]taylor: Taking taylor expansion of (- x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* 2 (/ -1 x)) into (/ -2 x) * [misc]backup-simplify: Simplify (cos (/ -2 x)) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (sin (/ -2 x)) into (sin (/ -2 x)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in cos * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in cos * [misc]taylor: Taking taylor expansion of (- x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in cos * [misc]taylor: Taking taylor expansion of (- cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in cos * [misc]taylor: Taking taylor expansion of (- sin) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]backup-simplify: Simplify (* (cos (/ -2 x)) 1) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (* (sin (/ -2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -2 x)) 0) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (* (/ -1 x) -1) into (/ 1 x) * [misc]backup-simplify: Simplify (* (/ 1 x) (/ -1 sin)) into (/ -1 (* x sin)) * [misc]backup-simplify: Simplify (/ (cos (/ -2 x)) (/ -1 (* x sin))) into (* -1 (* (cos (/ -2 x)) (* x sin))) * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) in x * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (cos (* 2 (/ 1 (- x)))) into (cos (/ -2 x)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in x * [misc]taylor: Taking taylor expansion of (- sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]backup-simplify: Simplify (* -1 (/ -1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ -1 sin)) into (/ -1 (* cos sin)) * [misc]backup-simplify: Simplify (/ (cos (/ -2 x)) (/ -1 (* cos sin))) into (* -1 (* (cos (/ -2 x)) (* cos sin))) * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) in x * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (cos (* 2 (/ 1 (- x)))) into (cos (/ -2 x)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in x * [misc]taylor: Taking taylor expansion of (- sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]backup-simplify: Simplify (* -1 (/ -1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ -1 sin)) into (/ -1 (* cos sin)) * [misc]backup-simplify: Simplify (/ (cos (/ -2 x)) (/ -1 (* cos sin))) into (* -1 (* (cos (/ -2 x)) (* cos sin))) * [misc]taylor: Taking taylor expansion of (* -1 (* (cos (/ -2 x)) (* cos sin))) in cos * [misc]taylor: Taking taylor expansion of -1 in cos * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (cos (/ -2 x)) (* cos sin)) in cos * [misc]taylor: Taking taylor expansion of (cos (/ -2 x)) in cos * [misc]taylor: Taking taylor expansion of (/ -2 x) in cos * [misc]taylor: Taking taylor expansion of -2 in cos * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ -2 x) into (/ -2 x) * [misc]backup-simplify: Simplify (cos (/ -2 x)) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (sin (/ -2 x)) into (sin (/ -2 x)) * [misc]taylor: Taking taylor expansion of (* cos sin) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* (cos (/ -2 x)) 1) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (* (sin (/ -2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -2 x)) 0) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 sin)) into sin * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ -2 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -2 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) sin) (* 0 0)) into (* (cos (/ -2 x)) sin) * [misc]backup-simplify: Simplify (* (cos (/ -2 x)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (* (cos (/ -2 x)) sin)) (* 0 0)) into (- (* (cos (/ -2 x)) sin)) * [misc]taylor: Taking taylor expansion of (- (* (cos (/ -2 x)) sin)) in sin * [misc]taylor: Taking taylor expansion of (* (cos (/ -2 x)) sin) in sin * [misc]taylor: Taking taylor expansion of (cos (/ -2 x)) in sin * [misc]taylor: Taking taylor expansion of (/ -2 x) in sin * [misc]taylor: Taking taylor expansion of -2 in sin * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ -2 x) into (/ -2 x) * [misc]backup-simplify: Simplify (cos (/ -2 x)) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (sin (/ -2 x)) into (sin (/ -2 x)) * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (cos (/ -2 x)) 1) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (* (sin (/ -2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -2 x)) 0) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ -2 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -2 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 1) (* 0 0)) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (- (cos (/ -2 x))) into (- (cos (/ -2 x))) * [misc]backup-simplify: Simplify (- (cos (/ -2 x))) into (- (cos (/ -2 x))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (* 0 (/ -1 sin))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 (* cos sin))) (+ (* (* -1 (* (cos (/ -2 x)) (* cos sin))) (/ 0 (/ -1 (* cos sin)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ -2 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -2 x)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 0) (+ (* 0 sin) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 (* (cos (/ -2 x)) sin)) (* 0 0))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ -2 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -2 x)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))) (* 0 (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))) (* 0 (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (* 0 (/ -1 sin)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 (* cos sin))) (+ (* (* -1 (* (cos (/ -2 x)) (* cos sin))) (/ 0 (/ -1 (* cos sin)))) (* 0 (/ 0 (/ -1 (* cos sin)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 sin)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ -2 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -2 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 0) (+ (* 0 0) (+ (* 0 sin) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (* (cos (/ -2 x)) sin)) (* 0 0)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (- (cos (/ -2 (/ 1 (- x))))) (* (/ 1 (- sin)) (* (/ 1 (- cos)) (/ 1 (- x))))) into (/ (cos (* 2 x)) (* cos (* x sin))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (/ (cos (* 2 x)) (* (* x cos) sin)) (* (* x cos) sin)) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (cos (* 2 x)) (* (* x cos) sin)) (* (* x cos) sin)) in sin * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 x)) (* (* x cos) sin)) in sin * [misc]taylor: Taking taylor expansion of (cos (* 2 x)) in sin * [misc]taylor: Taking taylor expansion of (* 2 x) in sin * [misc]taylor: Taking taylor expansion of 2 in sin * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 2 x) into (* 2 x) * [misc]backup-simplify: Simplify (cos (* 2 x)) into (cos (* 2 x)) * [misc]backup-simplify: Simplify (sin (* 2 x)) into (sin (* 2 x)) * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in sin * [misc]taylor: Taking taylor expansion of (* x cos) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (cos (* 2 x)) 1) into (cos (* 2 x)) * [misc]backup-simplify: Simplify (* (sin (* 2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 2 x)) 0) into (cos (* 2 x)) * [misc]backup-simplify: Simplify (* x cos) into (* x cos) * [misc]backup-simplify: Simplify (* (* x cos) 0) into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (* 0 cos)) into 0 * [misc]backup-simplify: Simplify (+ (* (* x cos) 1) (* 0 0)) into (* x cos) * [misc]backup-simplify: Simplify (/ (cos (* 2 x)) (* x cos)) into (/ (cos (* 2 x)) (* x cos)) * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in sin * [misc]taylor: Taking taylor expansion of (* x cos) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* x cos) into (* x cos) * [misc]backup-simplify: Simplify (* (* x cos) 0) into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (* 0 cos)) into 0 * [misc]backup-simplify: Simplify (+ (* (* x cos) 1) (* 0 0)) into (* x cos) * [misc]backup-simplify: Simplify (/ (/ (cos (* 2 x)) (* x cos)) (* x cos)) into (/ (cos (* 2 x)) (* (pow x 2) (pow cos 2))) * [misc]taylor: Taking taylor expansion of (/ (/ (cos (* 2 x)) (* (* x cos) sin)) (* (* x cos) sin)) in cos * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 x)) (* (* x cos) sin)) in cos * [misc]taylor: Taking taylor expansion of (cos (* 2 x)) in cos * [misc]taylor: Taking taylor expansion of (* 2 x) in cos * [misc]taylor: Taking taylor expansion of 2 in cos * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 2 x) into (* 2 x) * [misc]backup-simplify: Simplify (cos (* 2 x)) into (cos (* 2 x)) * [misc]backup-simplify: Simplify (sin (* 2 x)) into (sin (* 2 x)) * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in cos * [misc]taylor: Taking taylor expansion of (* x cos) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* (cos (* 2 x)) 1) into (cos (* 2 x)) * [misc]backup-simplify: Simplify (* (sin (* 2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 2 x)) 0) into (cos (* 2 x)) * [misc]backup-simplify: Simplify (* x 0) into 0 * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* x 1) (* 0 0)) into x * [misc]backup-simplify: Simplify (+ (* 0 0) (* x sin)) into (* x sin) * [misc]backup-simplify: Simplify (/ (cos (* 2 x)) (* x sin)) into (/ (cos (* 2 x)) (* x sin)) * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in cos * [misc]taylor: Taking taylor expansion of (* x cos) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* x 0) into 0 * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* x 1) (* 0 0)) into x * [misc]backup-simplify: Simplify (+ (* 0 0) (* x sin)) into (* x sin) * [misc]backup-simplify: Simplify (/ (/ (cos (* 2 x)) (* x sin)) (* x sin)) into (/ (cos (* 2 x)) (* (pow x 2) (pow sin 2))) * [misc]taylor: Taking taylor expansion of (/ (/ (cos (* 2 x)) (* (* x cos) sin)) (* (* x cos) sin)) in x * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 x)) (* (* x cos) sin)) in x * [misc]taylor: Taking taylor expansion of (cos (* 2 x)) in x * [misc]taylor: Taking taylor expansion of (* 2 x) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in x * [misc]taylor: Taking taylor expansion of (* x cos) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 cos) into 0 * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 cos)) into cos * [misc]backup-simplify: Simplify (+ (* 0 0) (* cos sin)) into (* cos sin) * [misc]backup-simplify: Simplify (/ 1 (* cos sin)) into (/ 1 (* cos sin)) * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in x * [misc]taylor: Taking taylor expansion of (* x cos) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 cos) into 0 * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 cos)) into cos * [misc]backup-simplify: Simplify (+ (* 0 0) (* cos sin)) into (* cos sin) * [misc]backup-simplify: Simplify (/ (/ 1 (* cos sin)) (* cos sin)) into (/ 1 (* (pow cos 2) (pow sin 2))) * [misc]taylor: Taking taylor expansion of (/ (/ (cos (* 2 x)) (* (* x cos) sin)) (* (* x cos) sin)) in x * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 x)) (* (* x cos) sin)) in x * [misc]taylor: Taking taylor expansion of (cos (* 2 x)) in x * [misc]taylor: Taking taylor expansion of (* 2 x) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in x * [misc]taylor: Taking taylor expansion of (* x cos) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 cos) into 0 * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 cos)) into cos * [misc]backup-simplify: Simplify (+ (* 0 0) (* cos sin)) into (* cos sin) * [misc]backup-simplify: Simplify (/ 1 (* cos sin)) into (/ 1 (* cos sin)) * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in x * [misc]taylor: Taking taylor expansion of (* x cos) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 cos) into 0 * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 cos)) into cos * [misc]backup-simplify: Simplify (+ (* 0 0) (* cos sin)) into (* cos sin) * [misc]backup-simplify: Simplify (/ (/ 1 (* cos sin)) (* cos sin)) into (/ 1 (* (pow cos 2) (pow sin 2))) * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow cos 2) (pow sin 2))) in cos * [misc]taylor: Taking taylor expansion of (* (pow cos 2) (pow sin 2)) in cos * [misc]taylor: Taking taylor expansion of (pow cos 2) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow sin 2) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* sin sin) into (pow sin 2) * [misc]backup-simplify: Simplify (* 1 (pow sin 2)) into (pow sin 2) * [misc]backup-simplify: Simplify (/ 1 (pow sin 2)) into (/ 1 (pow sin 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow sin 2)) in sin * [misc]taylor: Taking taylor expansion of (pow sin 2) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* cos sin)) (+ (* (/ 1 (* cos sin)) (/ 0 (* cos sin))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* cos sin)) (+ (* (/ 1 (* (pow cos 2) (pow sin 2))) (/ 0 (* cos sin))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (* 0 sin)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow sin 2))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow sin 2)) (/ 0 (pow sin 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 2 2) 2)) 0) into (- 2) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (+ (* 0 0) (* 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (/ (- 2) (* cos sin)) (+ (* (/ 1 (* cos sin)) (/ 0 (* cos sin))) (* 0 (/ 0 (* cos sin))))) into (- (* 2 (/ 1 (* cos sin)))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (+ (* 0 0) (* 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (* 2 (/ 1 (* cos sin)))) (* cos sin)) (+ (* (/ 1 (* (pow cos 2) (pow sin 2))) (/ 0 (* cos sin))) (* 0 (/ 0 (* cos sin))))) into (- (* 2 (/ 1 (* (pow cos 2) (pow sin 2))))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (* (pow cos 2) (pow sin 2))))) in cos * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* (pow cos 2) (pow sin 2)))) in cos * [misc]taylor: Taking taylor expansion of 2 in cos * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow cos 2) (pow sin 2))) in cos * [misc]taylor: Taking taylor expansion of (* (pow cos 2) (pow sin 2)) in cos * [misc]taylor: Taking taylor expansion of (pow cos 2) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow sin 2) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* sin sin) into (pow sin 2) * [misc]backup-simplify: Simplify (* 1 (pow sin 2)) into (pow sin 2) * [misc]backup-simplify: Simplify (/ 1 (pow sin 2)) into (/ 1 (pow sin 2)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (pow sin 2))) into (/ 2 (pow sin 2)) * [misc]backup-simplify: Simplify (- (/ 2 (pow sin 2))) into (- (* 2 (/ 1 (pow sin 2)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (pow sin 2)))) in sin * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow sin 2))) in sin * [misc]taylor: Taking taylor expansion of 2 in sin * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow sin 2)) in sin * [misc]taylor: Taking taylor expansion of (pow sin 2) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (+ (* sin 0) (+ (* 0 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow sin 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow sin 2)) (/ 0 (pow sin 2))) (* 0 (/ 0 (pow sin 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 2 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* cos sin)) (+ (* (/ 1 (* cos sin)) (/ 0 (* cos sin))) (* 0 (/ 0 (* cos sin))) (* (- (* 2 (/ 1 (* cos sin)))) (/ 0 (* cos sin))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* cos sin)) (+ (* (/ 1 (* (pow cos 2) (pow sin 2))) (/ 0 (* cos sin))) (* 0 (/ 0 (* cos sin))) (* (- (* 2 (/ 1 (* (pow cos 2) (pow sin 2))))) (/ 0 (* cos sin))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (* 0 sin)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow sin 2))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow sin 2)) (/ 0 (pow sin 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (pow sin 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow sin 2))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow sin 2)) (/ 0 (pow sin 2))) (* 0 (/ 0 (pow sin 2))) (* 0 (/ 0 (pow sin 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 2 4) 24)) 0 (* -1 (/ (pow 2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 2/3 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 2/3 (* cos sin)) (+ (* (/ 1 (* cos sin)) (/ 0 (* cos sin))) (* 0 (/ 0 (* cos sin))) (* (- (* 2 (/ 1 (* cos sin)))) (/ 0 (* cos sin))) (* 0 (/ 0 (* cos sin))))) into (* 2/3 (/ 1 (* cos sin))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin)))))) into 0 * [misc]backup-simplify: Simplify (- (/ (* 2/3 (/ 1 (* cos sin))) (* cos sin)) (+ (* (/ 1 (* (pow cos 2) (pow sin 2))) (/ 0 (* cos sin))) (* 0 (/ 0 (* cos sin))) (* (- (* 2 (/ 1 (* (pow cos 2) (pow sin 2))))) (/ 0 (* cos sin))) (* 0 (/ 0 (* cos sin))))) into (* 2/3 (/ 1 (* (pow cos 2) (pow sin 2)))) * [misc]taylor: Taking taylor expansion of (* 2/3 (/ 1 (* (pow cos 2) (pow sin 2)))) in cos * [misc]taylor: Taking taylor expansion of 2/3 in cos * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow cos 2) (pow sin 2))) in cos * [misc]taylor: Taking taylor expansion of (* (pow cos 2) (pow sin 2)) in cos * [misc]taylor: Taking taylor expansion of (pow cos 2) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow sin 2) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* sin sin) into (pow sin 2) * [misc]backup-simplify: Simplify (* 1 (pow sin 2)) into (pow sin 2) * [misc]backup-simplify: Simplify (/ 1 (pow sin 2)) into (/ 1 (pow sin 2)) * [misc]backup-simplify: Simplify (* 2/3 (/ 1 (pow sin 2))) into (/ 2/3 (pow sin 2)) * [misc]taylor: Taking taylor expansion of (/ 2/3 (pow sin 2)) in sin * [misc]taylor: Taking taylor expansion of 2/3 in sin * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]taylor: Taking taylor expansion of (pow sin 2) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 2/3 1) into 2/3 * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]backup-simplify: Simplify (+ (* 2/3 (pow (* (/ 1 sin) (* (/ 1 cos) x)) 2)) (+ (* -2 (pow (* (/ 1 sin) (* (/ 1 cos) 1)) 2)) (* 1 (pow (* (/ 1 sin) (* (/ 1 cos) (/ 1 x))) 2)))) into (- (+ (/ 1 (* (pow x 2) (* (pow sin 2) (pow cos 2)))) (* 2/3 (/ (pow x 2) (* (pow sin 2) (pow cos 2))))) (* 2 (/ 1 (* (pow sin 2) (pow cos 2))))) * [misc]approximate: Taking taylor expansion of (/ (/ (cos (* 2 (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (cos (* 2 (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) in sin * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) in sin * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 x))) in sin * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in sin * [misc]taylor: Taking taylor expansion of 2 in sin * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 2 (/ 1 x)) into (/ 2 x) * [misc]backup-simplify: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (sin (/ 2 x)) into (sin (/ 2 x)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in sin * [misc]taylor: Taking taylor expansion of (/ 1 x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (cos (/ 2 x)) 1) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (* (sin (/ 2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 2 x)) 0) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (* (/ 1 x) (/ 1 cos)) into (/ 1 (* x cos)) * [misc]backup-simplify: Simplify (* (/ 1 (* x cos)) 1) into (/ 1 (* x cos)) * [misc]backup-simplify: Simplify (/ (cos (/ 2 x)) (/ 1 (* x cos))) into (* x (* cos (cos (/ 2 x)))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in sin * [misc]taylor: Taking taylor expansion of (/ 1 x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 x) (/ 1 cos)) into (/ 1 (* x cos)) * [misc]backup-simplify: Simplify (* (/ 1 (* x cos)) 1) into (/ 1 (* x cos)) * [misc]backup-simplify: Simplify (/ (* x (* cos (cos (/ 2 x)))) (/ 1 (* x cos))) into (* (pow x 2) (* (pow cos 2) (cos (/ 2 x)))) * [misc]taylor: Taking taylor expansion of (/ (/ (cos (* 2 (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) in cos * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) in cos * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 x))) in cos * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in cos * [misc]taylor: Taking taylor expansion of 2 in cos * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 2 (/ 1 x)) into (/ 2 x) * [misc]backup-simplify: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (sin (/ 2 x)) into (sin (/ 2 x)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in cos * [misc]taylor: Taking taylor expansion of (/ 1 x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 sin) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (* (cos (/ 2 x)) 1) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (* (sin (/ 2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 2 x)) 0) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (* (/ 1 x) 1) into (/ 1 x) * [misc]backup-simplify: Simplify (* (/ 1 x) (/ 1 sin)) into (/ 1 (* x sin)) * [misc]backup-simplify: Simplify (/ (cos (/ 2 x)) (/ 1 (* x sin))) into (* x (* sin (cos (/ 2 x)))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in cos * [misc]taylor: Taking taylor expansion of (/ 1 x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 sin) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (* (/ 1 x) 1) into (/ 1 x) * [misc]backup-simplify: Simplify (* (/ 1 x) (/ 1 sin)) into (/ 1 (* x sin)) * [misc]backup-simplify: Simplify (/ (* x (* sin (cos (/ 2 x)))) (/ 1 (* x sin))) into (* (pow x 2) (* (pow sin 2) (cos (/ 2 x)))) * [misc]taylor: Taking taylor expansion of (/ (/ (cos (* 2 (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) in x * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) in x * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (cos (* 2 (/ 1 x))) into (cos (/ 2 x)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (* 1 (/ 1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ 1 sin)) into (/ 1 (* cos sin)) * [misc]backup-simplify: Simplify (/ (cos (/ 2 x)) (/ 1 (* cos sin))) into (* cos (* sin (cos (/ 2 x)))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (* 1 (/ 1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ 1 sin)) into (/ 1 (* cos sin)) * [misc]backup-simplify: Simplify (/ (* cos (* sin (cos (/ 2 x)))) (/ 1 (* cos sin))) into (* (pow cos 2) (* (pow sin 2) (cos (/ 2 x)))) * [misc]taylor: Taking taylor expansion of (/ (/ (cos (* 2 (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) in x * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) in x * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (cos (* 2 (/ 1 x))) into (cos (/ 2 x)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (* 1 (/ 1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ 1 sin)) into (/ 1 (* cos sin)) * [misc]backup-simplify: Simplify (/ (cos (/ 2 x)) (/ 1 (* cos sin))) into (* cos (* sin (cos (/ 2 x)))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (* 1 (/ 1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ 1 sin)) into (/ 1 (* cos sin)) * [misc]backup-simplify: Simplify (/ (* cos (* sin (cos (/ 2 x)))) (/ 1 (* cos sin))) into (* (pow cos 2) (* (pow sin 2) (cos (/ 2 x)))) * [misc]taylor: Taking taylor expansion of (* (pow cos 2) (* (pow sin 2) (cos (/ 2 x)))) in cos * [misc]taylor: Taking taylor expansion of (pow cos 2) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow sin 2) (cos (/ 2 x))) in cos * [misc]taylor: Taking taylor expansion of (pow sin 2) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]taylor: Taking taylor expansion of (cos (/ 2 x)) in cos * [misc]taylor: Taking taylor expansion of (/ 2 x) in cos * [misc]taylor: Taking taylor expansion of 2 in cos * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 2 x) into (/ 2 x) * [misc]backup-simplify: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (sin (/ 2 x)) into (sin (/ 2 x)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* sin sin) into (pow sin 2) * [misc]backup-simplify: Simplify (* (cos (/ 2 x)) 1) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (* (sin (/ 2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 2 x)) 0) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (* (pow sin 2) (cos (/ 2 x))) into (* (pow sin 2) (cos (/ 2 x))) * [misc]backup-simplify: Simplify (* 1 (* (pow sin 2) (cos (/ 2 x)))) into (* (pow sin 2) (cos (/ 2 x))) * [misc]taylor: Taking taylor expansion of (* (pow sin 2) (cos (/ 2 x))) in sin * [misc]taylor: Taking taylor expansion of (pow sin 2) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 2 x)) in sin * [misc]taylor: Taking taylor expansion of (/ 2 x) in sin * [misc]taylor: Taking taylor expansion of 2 in sin * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 2 x) into (/ 2 x) * [misc]backup-simplify: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (sin (/ 2 x)) into (sin (/ 2 x)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (cos (/ 2 x)) 1) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (* (sin (/ 2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 2 x)) 0) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (* 1 (cos (/ 2 x))) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (* 0 (/ 1 sin))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (* cos sin))) (+ (* (* cos (* sin (cos (/ 2 x)))) (/ 0 (/ 1 (* cos sin)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (* 0 (/ 1 sin))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (* cos sin))) (+ (* (* (pow cos 2) (* (pow sin 2) (cos (/ 2 x)))) (/ 0 (/ 1 (* cos sin)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]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 (/ 2 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ 2 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 2 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (* 0 sin)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow sin 2) 0) (* 0 (cos (/ 2 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (* (pow sin 2) (cos (/ 2 x))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]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 (/ 2 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ 2 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 2 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (cos (/ 2 x)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (* 0 (/ 1 sin)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (* cos sin))) (+ (* (* cos (* sin (cos (/ 2 x)))) (/ 0 (/ 1 (* cos sin)))) (* 0 (/ 0 (/ 1 (* cos sin)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (* 0 (/ 1 sin)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (* cos sin))) (+ (* (* (pow cos 2) (* (pow sin 2) (cos (/ 2 x)))) (/ 0 (/ 1 (* cos sin)))) (* 0 (/ 0 (/ 1 (* cos sin)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 2 x)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ 2 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 2 x)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (+ (* 0 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow sin 2) 0) (+ (* 0 0) (* 0 (cos (/ 2 x))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (* (pow sin 2) (cos (/ 2 x)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (cos (/ 2 (/ 1 x))) (pow (* (/ 1 sin) (* (/ 1 cos) (/ 1 x))) 2)) into (/ (cos (* 2 x)) (* (pow cos 2) (* (pow x 2) (pow sin 2)))) * [misc]approximate: Taking taylor expansion of (/ (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) in sin * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) in sin * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 (- x)))) in sin * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- x))) in sin * [misc]taylor: Taking taylor expansion of 2 in sin * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in sin * [misc]taylor: Taking taylor expansion of (- x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* 2 (/ -1 x)) into (/ -2 x) * [misc]backup-simplify: Simplify (cos (/ -2 x)) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (sin (/ -2 x)) into (sin (/ -2 x)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in sin * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in sin * [misc]taylor: Taking taylor expansion of (- x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in sin * [misc]taylor: Taking taylor expansion of (- cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in sin * [misc]taylor: Taking taylor expansion of (- sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (cos (/ -2 x)) 1) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (* (sin (/ -2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -2 x)) 0) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (* (/ -1 x) (/ -1 cos)) into (/ 1 (* x cos)) * [misc]backup-simplify: Simplify (* (/ 1 (* x cos)) -1) into (/ -1 (* x cos)) * [misc]backup-simplify: Simplify (/ (cos (/ -2 x)) (/ -1 (* x cos))) into (* -1 (* (cos (/ -2 x)) (* x cos))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in sin * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in sin * [misc]taylor: Taking taylor expansion of (- x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in sin * [misc]taylor: Taking taylor expansion of (- cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in sin * [misc]taylor: Taking taylor expansion of (- sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 x) (/ -1 cos)) into (/ 1 (* x cos)) * [misc]backup-simplify: Simplify (* (/ 1 (* x cos)) -1) into (/ -1 (* x cos)) * [misc]backup-simplify: Simplify (/ (* -1 (* (cos (/ -2 x)) (* x cos))) (/ -1 (* x cos))) into (* (cos (/ -2 x)) (* (pow x 2) (pow cos 2))) * [misc]taylor: Taking taylor expansion of (/ (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) in cos * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) in cos * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 (- x)))) in cos * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- x))) in cos * [misc]taylor: Taking taylor expansion of 2 in cos * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in cos * [misc]taylor: Taking taylor expansion of (- x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* 2 (/ -1 x)) into (/ -2 x) * [misc]backup-simplify: Simplify (cos (/ -2 x)) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (sin (/ -2 x)) into (sin (/ -2 x)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in cos * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in cos * [misc]taylor: Taking taylor expansion of (- x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in cos * [misc]taylor: Taking taylor expansion of (- cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in cos * [misc]taylor: Taking taylor expansion of (- sin) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]backup-simplify: Simplify (* (cos (/ -2 x)) 1) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (* (sin (/ -2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -2 x)) 0) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (* (/ -1 x) -1) into (/ 1 x) * [misc]backup-simplify: Simplify (* (/ 1 x) (/ -1 sin)) into (/ -1 (* x sin)) * [misc]backup-simplify: Simplify (/ (cos (/ -2 x)) (/ -1 (* x sin))) into (* -1 (* (cos (/ -2 x)) (* x sin))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in cos * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in cos * [misc]taylor: Taking taylor expansion of (- x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in cos * [misc]taylor: Taking taylor expansion of (- cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in cos * [misc]taylor: Taking taylor expansion of (- sin) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]backup-simplify: Simplify (* (/ -1 x) -1) into (/ 1 x) * [misc]backup-simplify: Simplify (* (/ 1 x) (/ -1 sin)) into (/ -1 (* x sin)) * [misc]backup-simplify: Simplify (/ (* -1 (* (cos (/ -2 x)) (* x sin))) (/ -1 (* x sin))) into (* (cos (/ -2 x)) (* (pow x 2) (pow sin 2))) * [misc]taylor: Taking taylor expansion of (/ (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) in x * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) in x * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (cos (* 2 (/ 1 (- x)))) into (cos (/ -2 x)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in x * [misc]taylor: Taking taylor expansion of (- sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]backup-simplify: Simplify (* -1 (/ -1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ -1 sin)) into (/ -1 (* cos sin)) * [misc]backup-simplify: Simplify (/ (cos (/ -2 x)) (/ -1 (* cos sin))) into (* -1 (* (cos (/ -2 x)) (* cos sin))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in x * [misc]taylor: Taking taylor expansion of (- sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]backup-simplify: Simplify (* -1 (/ -1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ -1 sin)) into (/ -1 (* cos sin)) * [misc]backup-simplify: Simplify (/ (* -1 (* (cos (/ -2 x)) (* cos sin))) (/ -1 (* cos sin))) into (* (cos (/ -2 x)) (* (pow cos 2) (pow sin 2))) * [misc]taylor: Taking taylor expansion of (/ (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) in x * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) in x * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (cos (* 2 (/ 1 (- x)))) into (cos (/ -2 x)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in x * [misc]taylor: Taking taylor expansion of (- sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]backup-simplify: Simplify (* -1 (/ -1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ -1 sin)) into (/ -1 (* cos sin)) * [misc]backup-simplify: Simplify (/ (cos (/ -2 x)) (/ -1 (* cos sin))) into (* -1 (* (cos (/ -2 x)) (* cos sin))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in x * [misc]taylor: Taking taylor expansion of (- sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]backup-simplify: Simplify (* -1 (/ -1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ -1 sin)) into (/ -1 (* cos sin)) * [misc]backup-simplify: Simplify (/ (* -1 (* (cos (/ -2 x)) (* cos sin))) (/ -1 (* cos sin))) into (* (cos (/ -2 x)) (* (pow cos 2) (pow sin 2))) * [misc]taylor: Taking taylor expansion of (* (cos (/ -2 x)) (* (pow cos 2) (pow sin 2))) in cos * [misc]taylor: Taking taylor expansion of (cos (/ -2 x)) in cos * [misc]taylor: Taking taylor expansion of (/ -2 x) in cos * [misc]taylor: Taking taylor expansion of -2 in cos * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ -2 x) into (/ -2 x) * [misc]backup-simplify: Simplify (cos (/ -2 x)) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (sin (/ -2 x)) into (sin (/ -2 x)) * [misc]taylor: Taking taylor expansion of (* (pow cos 2) (pow sin 2)) in cos * [misc]taylor: Taking taylor expansion of (pow cos 2) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow sin 2) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* (cos (/ -2 x)) 1) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (* (sin (/ -2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -2 x)) 0) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* sin sin) into (pow sin 2) * [misc]backup-simplify: Simplify (* 1 (pow sin 2)) into (pow sin 2) * [misc]backup-simplify: Simplify (* (cos (/ -2 x)) (pow sin 2)) into (* (cos (/ -2 x)) (pow sin 2)) * [misc]taylor: Taking taylor expansion of (* (cos (/ -2 x)) (pow sin 2)) in sin * [misc]taylor: Taking taylor expansion of (cos (/ -2 x)) in sin * [misc]taylor: Taking taylor expansion of (/ -2 x) in sin * [misc]taylor: Taking taylor expansion of -2 in sin * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ -2 x) into (/ -2 x) * [misc]backup-simplify: Simplify (cos (/ -2 x)) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (sin (/ -2 x)) into (sin (/ -2 x)) * [misc]taylor: Taking taylor expansion of (pow sin 2) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (cos (/ -2 x)) 1) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (* (sin (/ -2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -2 x)) 0) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (cos (/ -2 x)) 1) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (cos (/ -2 x)) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (* 0 (/ -1 sin))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 (* cos sin))) (+ (* (* -1 (* (cos (/ -2 x)) (* cos sin))) (/ 0 (/ -1 (* cos sin)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (* 0 (/ -1 sin))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 (* cos sin))) (+ (* (* (cos (/ -2 x)) (* (pow cos 2) (pow sin 2))) (/ 0 (/ -1 (* cos sin)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (* 0 sin)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow sin 2))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ -2 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -2 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 0) (* 0 (pow sin 2))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ -2 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -2 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))) (* 0 (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))) (* 0 (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (* 0 (/ -1 sin)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 (* cos sin))) (+ (* (* -1 (* (cos (/ -2 x)) (* cos sin))) (/ 0 (/ -1 (* cos sin)))) (* 0 (/ 0 (/ -1 (* cos sin)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))) (* 0 (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))) (* 0 (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (* 0 (/ -1 sin)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 (* cos sin))) (+ (* (* (cos (/ -2 x)) (* (pow cos 2) (pow sin 2))) (/ 0 (/ -1 (* cos sin)))) (* 0 (/ 0 (/ -1 (* cos sin)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (+ (* 0 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow sin 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ -2 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -2 x)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 0) (+ (* 0 0) (* 0 (pow sin 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (cos (/ -2 (/ 1 (- x)))) (pow (* (/ 1 (- sin)) (* (/ 1 (- cos)) (/ 1 (- x)))) 2)) into (/ (cos (* 2 x)) (* (pow cos 2) (* (pow x 2) (pow sin 2)))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (cos (* 2 x))) (log (* (* x cos) sin))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (222 enodes) * [exit]simplify: Simplified to (- (log (cos (* 2 x))) (log (* x (* sin cos)))) * [misc]simplify: Simplified (2 1 1) to (λ (x cos sin) (/ (exp (- (log (cos (* 2 x))) (log (* x (* sin cos))))) (* (* x cos) sin))) * * * * [misc]progress: [ 21 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (cos (* 2 x)) (cos (* 2 x))) (cos (* 2 x))) (* (* (* (* x cos) sin) (* (* x cos) sin)) (* (* x cos) sin))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (131 enodes) * [exit]simplify: Simplified to (pow (/ (cos (* 2 x)) (* cos (* sin x))) 3) * [misc]simplify: Simplified (2 1 1) to (λ (x cos sin) (/ (cbrt (pow (/ (cos (* 2 x)) (* cos (* sin x))) 3)) (* (* x cos) sin))) * * * * [misc]progress: [ 24 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cos x) (cos x)) (* (* x cos) sin)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (196 enodes) * * [misc]simplify: iters left: 1 (223 enodes) * [exit]simplify: Simplified to (/ (/ (cos x) sin) (/ (* cos x) (cos x))) * [misc]simplify: Simplified (2 1 1) to (λ (x cos sin) (/ (- (/ (/ (cos x) sin) (/ (* cos x) (cos x))) (/ (* (sin x) (sin x)) (* (* x cos) sin))) (* (* x cos) sin))) * * * * [misc]progress: [ 29 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) (* x cos)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos (* 2 x))) cos) (/ x (cbrt (cos (* 2 x))))) * [misc]simplify: Simplified (2 1 1) to (λ (x cos sin) (/ (* (/ (/ (cbrt (cos (* 2 x))) cos) (/ x (cbrt (cos (* 2 x))))) (/ (cbrt (cos (* 2 x))) sin)) (* (* x cos) sin))) * [enter]simplify: Simplifying (/ (cbrt (cos (* 2 x))) sin) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos (* 2 x))) sin) * [misc]simplify: Simplified (2 1 2) to (λ (x cos sin) (/ (* (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) (* x cos)) (/ (cbrt (cos (* 2 x))) sin)) (* (* x cos) sin))) * * * * [misc]progress: [ 30 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cos (* 2 x))) (* x cos)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos (* 2 x))) (* cos x)) * [misc]simplify: Simplified (2 1 1) to (λ (x cos sin) (/ (* (/ (sqrt (cos (* 2 x))) (* cos x)) (/ (sqrt (cos (* 2 x))) sin)) (* (* x cos) sin))) * [enter]simplify: Simplifying (/ (sqrt (cos (* 2 x))) sin) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos (* 2 x))) sin) * [misc]simplify: Simplified (2 1 2) to (λ (x cos sin) (/ (* (/ (sqrt (cos (* 2 x))) (* x cos)) (/ (sqrt (cos (* 2 x))) sin)) (* (* x cos) sin))) * * * * [misc]progress: [ 31 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* x cos)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ 1 (* cos x)) * [misc]simplify: Simplified (2 1 1) to (λ (x cos sin) (/ (* (/ 1 (* cos x)) (/ (cos (* 2 x)) sin)) (* (* x cos) sin))) * [enter]simplify: Simplifying (/ (cos (* 2 x)) sin) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (cos (* 2 x)) sin) * [misc]simplify: Simplified (2 1 2) to (λ (x cos sin) (/ (* (/ 1 (* x cos)) (/ (cos (* 2 x)) sin)) (* (* x cos) sin))) * * * * [misc]progress: [ 32 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x cos sin) (/ (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) (/ (* (* x cos) sin) (cbrt (cos (* 2 x))))) (* (* x cos) sin))) * * * * [misc]progress: [ 37 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cos (* 2 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (cos (* 2 x))) * [misc]simplify: Simplified (2 1 1) to (λ (x cos sin) (/ (/ (sqrt (cos (* 2 x))) (/ (* (* x cos) sin) (sqrt (cos (* 2 x))))) (* (* x cos) sin))) * * * * [misc]progress: [ 38 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (cos (* 2 x))) (log (* (* x cos) sin))) (log (* (* x cos) sin))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (424 enodes) * [exit]simplify: Simplified to (- (- (log (cos (* 2 x))) (log (* (* x sin) cos))) (log (* (* x sin) cos))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (exp (- (- (log (cos (* 2 x))) (log (* (* x sin) cos))) (log (* (* x sin) cos))))) * * * * [misc]progress: [ 41 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (cos (* 2 x)) (* (* x cos) sin))) (log (* (* x cos) sin))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (376 enodes) * [exit]simplify: Simplified to (- (log (cos (* 2 x))) (+ (log (* cos (* sin x))) (log (* cos (* sin x))))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (exp (- (log (cos (* 2 x))) (+ (log (* cos (* sin x))) (log (* cos (* sin x))))))) * * * * [misc]progress: [ 42 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* (cos (* 2 x)) (cos (* 2 x))) (cos (* 2 x))) (* (* (* (* x cos) sin) (* (* x cos) sin)) (* (* x cos) sin))) (* (* (* (* x cos) sin) (* (* x cos) sin)) (* (* x cos) sin))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * [exit]simplify: Simplified to (* (* (/ (cos (* 2 x)) (* (* sin x) cos)) (/ (cos (* 2 x)) (* (* sin x) cos))) (/ (cos (* 2 x)) (pow (* (* sin x) cos) 4))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (cbrt (* (* (/ (cos (* 2 x)) (* (* sin x) cos)) (/ (cos (* 2 x)) (* (* sin x) cos))) (/ (cos (* 2 x)) (pow (* (* sin x) cos) 4))))) * * * * [misc]progress: [ 45 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ (cos (* 2 x)) (* (* x cos) sin)) (/ (cos (* 2 x)) (* (* x cos) sin))) (/ (cos (* 2 x)) (* (* x cos) sin))) (* (* (* (* x cos) sin) (* (* x cos) sin)) (* (* x cos) sin))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (207 enodes) * [exit]simplify: Simplified to (pow (/ (/ (cos (* 2 x)) (* (* sin x) cos)) (* (* sin x) cos)) 3) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (cbrt (pow (/ (/ (cos (* 2 x)) (* (* sin x) cos)) (* (* sin x) cos)) 3))) * * * * [misc]progress: [ 46 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (448 enodes) * [exit]simplify: Simplified to (* (/ (/ (cos x) sin) (* cos x)) (/ (/ (cos x) sin) (* cos x))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (- (* (/ (/ (cos x) sin) (* cos x)) (/ (/ (cos x) sin) (* cos x))) (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))) * * * * [misc]progress: [ 51 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (cos (* 2 x)) (* (* x cos) sin))) (cbrt (/ (cos (* 2 x)) (* (* x cos) sin)))) (* x cos)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ (cos (* 2 x)) (* (* sin x) cos))) cos) (/ x (cbrt (/ (cos (* 2 x)) (* (* sin x) cos))))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (* (/ (/ (cbrt (/ (cos (* 2 x)) (* (* sin x) cos))) cos) (/ x (cbrt (/ (cos (* 2 x)) (* (* sin x) cos))))) (/ (cbrt (/ (cos (* 2 x)) (* (* x cos) sin))) sin))) * [enter]simplify: Simplifying (/ (cbrt (/ (cos (* 2 x)) (* (* x cos) sin))) sin) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (cos (* 2 x)) (* (* x cos) sin))) sin) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (* (/ (* (cbrt (/ (cos (* 2 x)) (* (* x cos) sin))) (cbrt (/ (cos (* 2 x)) (* (* x cos) sin)))) (* x cos)) (/ (cbrt (/ (cos (* 2 x)) (* (* x cos) sin))) sin))) * * * * [misc]progress: [ 52 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (cos (* 2 x)) (* (* x cos) sin))) (* x cos)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (cos (* 2 x)) (* cos (* sin x)))) (* x cos)) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (* (/ (sqrt (/ (cos (* 2 x)) (* cos (* sin x)))) (* x cos)) (/ (sqrt (/ (cos (* 2 x)) (* (* x cos) sin))) sin))) * [enter]simplify: Simplifying (/ (sqrt (/ (cos (* 2 x)) (* (* x cos) sin))) sin) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (cos (* 2 x)) (* (* x cos) sin))) sin) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (* (/ (sqrt (/ (cos (* 2 x)) (* (* x cos) sin))) (* x cos)) (/ (sqrt (/ (cos (* 2 x)) (* (* x cos) sin))) sin))) * * * * [misc]progress: [ 53 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) (* x cos)) (* x cos)) * * [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 (148 enodes) * * [misc]simplify: iters left: 2 (270 enodes) * * [misc]simplify: iters left: 1 (324 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (cos (* 2 x))) (* cos x)) (/ (cbrt (cos (* 2 x))) (* cos x))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (* (* (/ (cbrt (cos (* 2 x))) (* cos x)) (/ (cbrt (cos (* 2 x))) (* cos x))) (/ (/ (cbrt (cos (* 2 x))) sin) sin))) * [enter]simplify: Simplifying (/ (/ (cbrt (cos (* 2 x))) sin) sin) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos (* 2 x))) (* sin sin)) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (* (/ (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) (* x cos)) (* x cos)) (/ (cbrt (cos (* 2 x))) (* sin sin)))) * * * * [misc]progress: [ 54 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos (* 2 x))) (* x cos)) (* x cos)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos (* 2 x))) (* (* cos x) (* cos x))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (* (/ (sqrt (cos (* 2 x))) (* (* cos x) (* cos x))) (/ (/ (sqrt (cos (* 2 x))) sin) sin))) * [enter]simplify: Simplifying (/ (/ (sqrt (cos (* 2 x))) sin) sin) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos (* 2 x))) (* sin sin)) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (* (/ (/ (sqrt (cos (* 2 x))) (* x cos)) (* x cos)) (/ (sqrt (cos (* 2 x))) (* sin sin)))) * * * * [misc]progress: [ 55 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* x cos)) (* x cos)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (/ (/ 1 (* cos x)) (* cos x)) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (* (/ (/ 1 (* cos x)) (* cos x)) (/ (/ (cos (* 2 x)) sin) sin))) * [enter]simplify: Simplifying (/ (/ (cos (* 2 x)) sin) sin) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (cos (* 2 x)) (* sin sin)) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (* (/ (/ 1 (* x cos)) (* x cos)) (/ (cos (* 2 x)) (* sin sin)))) * * * * [misc]progress: [ 56 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* x cos)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ 1 (* cos x)) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (* (/ 1 (* cos x)) (/ (/ (cos (* 2 x)) (* (* x cos) sin)) sin))) * [enter]simplify: Simplifying (/ (/ (cos (* 2 x)) (* (* x cos) sin)) sin) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (/ (cos (* 2 x)) (* (* x cos) (* sin sin))) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (* (/ 1 (* x cos)) (/ (cos (* 2 x)) (* (* x cos) (* sin sin))))) * * * * [misc]progress: [ 57 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos (* 2 x)) (* x cos)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (/ (cos (* 2 x)) (* x cos)) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (* (/ (cos (* 2 x)) (* x cos)) (/ (/ 1 (* (* x cos) sin)) sin))) * [enter]simplify: Simplifying (/ (/ 1 (* (* x cos) sin)) sin) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 sin) (* sin cos)) x) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (* (/ (cos (* 2 x)) (* x cos)) (/ (/ (/ 1 sin) (* sin cos)) x))) * * * * [misc]progress: [ 58 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (cos (* 2 x)) (* (* x cos) sin))) (cbrt (/ (cos (* 2 x)) (* (* x cos) sin)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (cos (* 2 x)) (* (* x cos) sin))) (cbrt (/ (cos (* 2 x)) (* (* x cos) sin)))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (/ (* (cbrt (/ (cos (* 2 x)) (* (* x cos) sin))) (cbrt (/ (cos (* 2 x)) (* (* x cos) sin)))) (/ (* (* x cos) sin) (cbrt (/ (cos (* 2 x)) (* (* x cos) sin)))))) * * * * [misc]progress: [ 63 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (cos (* 2 x)) (* (* x cos) sin))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (sqrt (/ (cos (* 2 x)) (* cos (* sin x)))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (/ (sqrt (/ (cos (* 2 x)) (* cos (* sin x)))) (/ (* (* x cos) sin) (sqrt (/ (cos (* 2 x)) (* (* x cos) sin)))))) * * * * [misc]progress: [ 64 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) (* x cos)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos (* 2 x))) cos) (/ x (cbrt (cos (* 2 x))))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (/ (/ (/ (cbrt (cos (* 2 x))) cos) (/ x (cbrt (cos (* 2 x))))) (/ (* (* x cos) sin) (/ (cbrt (cos (* 2 x))) sin)))) * * * * [misc]progress: [ 65 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cos (* 2 x))) (* x cos)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos (* 2 x))) (* cos x)) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (/ (/ (sqrt (cos (* 2 x))) (* cos x)) (/ (* (* x cos) sin) (/ (sqrt (cos (* 2 x))) sin)))) * * * * [misc]progress: [ 66 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* x cos)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ 1 (* cos x)) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (/ (/ 1 (* cos x)) (/ (* (* x cos) sin) (/ (cos (* 2 x)) sin)))) * * * * [misc]progress: [ 67 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cos (* 2 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cos (* 2 x)) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (/ (cos (* 2 x)) (/ (* (* x cos) sin) (/ 1 (* (* x cos) sin))))) * * * * [misc]progress: [ 69 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cos (* 2 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cos (* 2 x)) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin)))) * * * * [misc]progress: [ 70 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (/ (/ (cos (* 2 x)) (* (* x cos) sin)) 0)) * * * * [misc]progress: [ 71 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* x (* sin cos)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (* cos sin) x) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (/ (/ (cos (* 2 x)) (* (* x cos) sin)) (* (* cos sin) x))) * * * * [misc]progress: [ 72 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* x (* sin cos)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (* cos sin) x) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (/ (/ (cos (* 2 x)) (* (* x cos) sin)) (* (* cos sin) x))) * * * * [misc]progress: [ 73 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (x cos sin) (/ (/ (cos (* 2 x)) 0) (* (* x cos) sin))) * * * * [misc]progress: [ 74 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* x (* sin cos)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (* cos sin) x) * [misc]simplify: Simplified (2 1 2) to (λ (x cos sin) (/ (/ (cos (* 2 x)) (* (* cos sin) x)) (* (* x cos) sin))) * * * * [misc]progress: [ 75 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* x (* sin cos)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (* cos sin) x) * [misc]simplify: Simplified (2 1 2) to (λ (x cos sin) (/ (/ (cos (* 2 x)) (* (* cos sin) x)) (* (* x cos) sin))) * * * * [misc]progress: [ 76 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 (* x (* sin cos))) (* 2 (/ x (* sin cos)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (174 enodes) * * [misc]simplify: iters left: 1 (210 enodes) * [exit]simplify: Simplified to (+ (/ (/ x sin) (/ cos -2)) (/ (/ 1 x) (* sin cos))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (/ (+ (/ (/ x sin) (/ cos -2)) (/ (/ 1 x) (* sin cos))) (* (* x cos) sin))) * * * * [misc]progress: [ 77 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos (* 2 x)) (* cos (* x sin))) * * [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 (23 enodes) * [exit]simplify: Simplified to (/ (cos (* 2 x)) (* (* cos sin) x)) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (/ (/ (cos (* 2 x)) (* (* cos sin) x)) (* (* x cos) sin))) * * * * [misc]progress: [ 78 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos (* 2 x)) (* cos (* x sin))) * * [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 (23 enodes) * [exit]simplify: Simplified to (/ (cos (* 2 x)) (* (* cos sin) x)) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (/ (/ (cos (* 2 x)) (* (* cos sin) x)) (* (* x cos) sin))) * * * * [misc]progress: [ 79 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ 1 (* (pow x 2) (* (pow sin 2) (pow cos 2)))) (* 2/3 (/ (pow x 2) (* (pow sin 2) (pow cos 2))))) (* 2 (/ 1 (* (pow sin 2) (pow cos 2))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (388 enodes) * [exit]simplify: Simplified to (+ (/ (* (* x x) 2/3) (* (* cos sin) (* cos sin))) (+ (/ (/ 1 (* x x)) (* (* cos sin) (* cos sin))) (/ -2 (* (* cos sin) (* cos sin))))) * [misc]simplify: Simplified (2) to (λ (x cos sin) (+ (/ (* (* x x) 2/3) (* (* cos sin) (* cos sin))) (+ (/ (/ 1 (* x x)) (* (* cos sin) (* cos sin))) (/ -2 (* (* cos sin) (* cos sin)))))) * * * * [misc]progress: [ 80 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos (* 2 x)) (* (pow cos 2) (* (pow x 2) (pow sin 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (224 enodes) * * [misc]simplify: iters left: 1 (356 enodes) * [exit]simplify: Simplified to (/ (cos (* 2 x)) (* (* (* x sin) cos) (* (* x sin) cos))) * [misc]simplify: Simplified (2) to (λ (x cos sin) (/ (cos (* 2 x)) (* (* (* x sin) cos) (* (* x sin) cos)))) * * * * [misc]progress: [ 81 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos (* 2 x)) (* (pow cos 2) (* (pow x 2) (pow sin 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (224 enodes) * * [misc]simplify: iters left: 1 (356 enodes) * [exit]simplify: Simplified to (/ (cos (* 2 x)) (* (* (* x sin) cos) (* (* x sin) cos))) * [misc]simplify: Simplified (2) to (λ (x cos sin) (/ (cos (* 2 x)) (* (* (* x sin) cos) (* (* x sin) cos)))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) * * * * [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 2) * [misc]approximate: Taking taylor expansion of (* (* x cos) sin) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in sin * [misc]taylor: Taking taylor expansion of (* x cos) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in cos * [misc]taylor: Taking taylor expansion of (* x cos) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in x * [misc]taylor: Taking taylor expansion of (* x cos) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in x * [misc]taylor: Taking taylor expansion of (* x cos) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 cos) into 0 * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 cos)) into cos * [misc]backup-simplify: Simplify (+ (* 0 0) (* cos sin)) into (* cos sin) * [misc]taylor: Taking taylor expansion of (* cos sin) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (* 0 sin))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 sin)) into sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]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]approximate: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in sin * [misc]taylor: Taking taylor expansion of (/ 1 x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in cos * [misc]taylor: Taking taylor expansion of (/ 1 x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 sin) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (* 1 (/ 1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ 1 sin)) into (/ 1 (* cos sin)) * [misc]taylor: Taking taylor expansion of (/ 1 (* cos sin)) in cos * [misc]taylor: Taking taylor expansion of (* cos sin) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 sin)) into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (* 0 (/ 1 sin))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (* 0 (/ 1 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 cos))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 sin))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* (/ 1 (/ 1 sin)) (* (/ 1 (/ 1 cos)) (/ 1 (/ 1 x))))) into (* x (* sin cos)) * [misc]approximate: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in sin * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in sin * [misc]taylor: Taking taylor expansion of (- x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in sin * [misc]taylor: Taking taylor expansion of (- cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in sin * [misc]taylor: Taking taylor expansion of (- sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in cos * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in cos * [misc]taylor: Taking taylor expansion of (- x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in cos * [misc]taylor: Taking taylor expansion of (- cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in cos * [misc]taylor: Taking taylor expansion of (- sin) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in x * [misc]taylor: Taking taylor expansion of (- sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in x * [misc]taylor: Taking taylor expansion of (- sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]backup-simplify: Simplify (* -1 (/ -1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ -1 sin)) into (/ -1 (* cos sin)) * [misc]taylor: Taking taylor expansion of (/ -1 (* cos sin)) in cos * [misc]taylor: Taking taylor expansion of -1 in cos * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* cos sin) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 sin)) into sin * [misc]backup-simplify: Simplify (/ -1 sin) into (/ -1 sin) * [misc]taylor: Taking taylor expansion of (/ -1 sin) in sin * [misc]taylor: Taking taylor expansion of -1 in sin * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (* 0 (/ -1 sin))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 sin) (+ (* (/ -1 sin) (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))) (* 0 (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))) (* 0 (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (* 0 (/ -1 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 sin) (+ (* (/ -1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))) (* 0 (/ 0 (- sin))) (* 0 (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))) (* 0 (/ 0 (- cos))) (* 0 (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 cos))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 sin))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 sin) (+ (* (/ -1 sin) (/ 0 sin)) (* 0 (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 (* (/ 1 (/ 1 (- sin))) (* (/ 1 (/ 1 (- cos))) (/ 1 (/ 1 (- x)))))) into (* x (* sin cos)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (* (/ 1 (* x cos)) (/ (cos (* 2 x)) sin)) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* x cos)) (/ (cos (* 2 x)) sin)) in sin * [misc]taylor: Taking taylor expansion of (/ 1 (* x cos)) in sin * [misc]taylor: Taking taylor expansion of (* x cos) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (* x cos) into (* x cos) * [misc]backup-simplify: Simplify (/ 1 (* x cos)) into (/ 1 (* x cos)) * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 x)) sin) in sin * [misc]taylor: Taking taylor expansion of (cos (* 2 x)) in sin * [misc]taylor: Taking taylor expansion of (* 2 x) in sin * [misc]taylor: Taking taylor expansion of 2 in sin * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 2 x) into (* 2 x) * [misc]backup-simplify: Simplify (cos (* 2 x)) into (cos (* 2 x)) * [misc]backup-simplify: Simplify (sin (* 2 x)) into (sin (* 2 x)) * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (cos (* 2 x)) 1) into (cos (* 2 x)) * [misc]backup-simplify: Simplify (* (sin (* 2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 2 x)) 0) into (cos (* 2 x)) * [misc]backup-simplify: Simplify (/ (cos (* 2 x)) 1) into (cos (* 2 x)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (* x cos)) (/ (cos (* 2 x)) sin)) in cos * [misc]taylor: Taking taylor expansion of (/ 1 (* x cos)) in cos * [misc]taylor: Taking taylor expansion of (* x cos) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* x 0) into 0 * [misc]backup-simplify: Simplify (+ (* x 1) (* 0 0)) into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 x)) sin) in cos * [misc]taylor: Taking taylor expansion of (cos (* 2 x)) in cos * [misc]taylor: Taking taylor expansion of (* 2 x) in cos * [misc]taylor: Taking taylor expansion of 2 in cos * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 2 x) into (* 2 x) * [misc]backup-simplify: Simplify (cos (* 2 x)) into (cos (* 2 x)) * [misc]backup-simplify: Simplify (sin (* 2 x)) into (sin (* 2 x)) * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* (cos (* 2 x)) 1) into (cos (* 2 x)) * [misc]backup-simplify: Simplify (* (sin (* 2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 2 x)) 0) into (cos (* 2 x)) * [misc]backup-simplify: Simplify (/ (cos (* 2 x)) sin) into (/ (cos (* 2 x)) sin) * [misc]taylor: Taking taylor expansion of (* (/ 1 (* x cos)) (/ (cos (* 2 x)) sin)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (* x cos)) in x * [misc]taylor: Taking taylor expansion of (* x cos) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (* 0 cos) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 cos)) into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 x)) sin) in x * [misc]taylor: Taking taylor expansion of (cos (* 2 x)) in x * [misc]taylor: Taking taylor expansion of (* 2 x) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]taylor: Taking taylor expansion of (* (/ 1 (* x cos)) (/ (cos (* 2 x)) sin)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (* x cos)) in x * [misc]taylor: Taking taylor expansion of (* x cos) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (* 0 cos) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 cos)) into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 x)) sin) in x * [misc]taylor: Taking taylor expansion of (cos (* 2 x)) in x * [misc]taylor: Taking taylor expansion of (* 2 x) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ 1 sin)) into (/ 1 (* cos sin)) * [misc]taylor: Taking taylor expansion of (/ 1 (* cos sin)) in cos * [misc]taylor: Taking taylor expansion of (* cos sin) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 sin)) into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 sin) (+ (* (/ 1 sin) (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 cos))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (* 0 (/ 1 sin))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 2 2) 2)) 0) into (- 2) * [misc]backup-simplify: Simplify (- (/ (- 2) sin) (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into (- (* 2 (/ 1 sin))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) (- (* 2 (/ 1 sin)))) (+ (* 0 0) (* 0 (/ 1 sin)))) into (- (* 2 (/ 1 (* cos sin)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (* cos sin)))) in cos * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* cos sin))) in cos * [misc]taylor: Taking taylor expansion of 2 in cos * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (* cos sin)) in cos * [misc]taylor: Taking taylor expansion of (* cos sin) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 sin)) into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (* 2 (/ 1 sin)) into (/ 2 sin) * [misc]backup-simplify: Simplify (- (/ 2 sin)) into (- (* 2 (/ 1 sin))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 sin))) in sin * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 sin)) in sin * [misc]taylor: Taking taylor expansion of 2 in sin * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 2 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 sin) (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)) (* (- (* 2 (/ 1 sin))) (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 (- (* 2 (/ 1 sin)))) (+ (* 0 0) (* 0 (/ 1 sin))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 sin))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -2 (* (/ 1 sin) (* (/ 1 cos) x))) (* 1 (* (/ 1 sin) (* (/ 1 cos) (/ 1 x))))) into (- (/ 1 (* x (* sin cos))) (* 2 (/ x (* sin cos)))) * [misc]approximate: Taking taylor expansion of (* (/ 1 (* (/ 1 x) (/ 1 cos))) (/ (cos (* 2 (/ 1 x))) (/ 1 sin))) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (/ 1 x) (/ 1 cos))) (/ (cos (* 2 (/ 1 x))) (/ 1 sin))) in sin * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 x) (/ 1 cos))) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in sin * [misc]taylor: Taking taylor expansion of (/ 1 x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 x) (/ 1 cos)) into (/ 1 (* x cos)) * [misc]backup-simplify: Simplify (/ 1 (/ 1 (* x cos))) into (* x cos) * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 x))) (/ 1 sin)) in sin * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 x))) in sin * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in sin * [misc]taylor: Taking taylor expansion of 2 in sin * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 2 (/ 1 x)) into (/ 2 x) * [misc]backup-simplify: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (sin (/ 2 x)) into (sin (/ 2 x)) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (cos (/ 2 x)) 1) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (* (sin (/ 2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 2 x)) 0) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (/ (cos (/ 2 x)) 1) into (cos (/ 2 x)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (/ 1 x) (/ 1 cos))) (/ (cos (* 2 (/ 1 x))) (/ 1 sin))) in cos * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 x) (/ 1 cos))) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in cos * [misc]taylor: Taking taylor expansion of (/ 1 x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 x) 1) into (/ 1 x) * [misc]backup-simplify: Simplify (/ 1 (/ 1 x)) into x * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 x))) (/ 1 sin)) in cos * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 x))) in cos * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in cos * [misc]taylor: Taking taylor expansion of 2 in cos * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 2 (/ 1 x)) into (/ 2 x) * [misc]backup-simplify: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (sin (/ 2 x)) into (sin (/ 2 x)) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (* (cos (/ 2 x)) 1) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (* (sin (/ 2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 2 x)) 0) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (/ (cos (/ 2 x)) (/ 1 sin)) into (* sin (cos (/ 2 x))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (/ 1 x) (/ 1 cos))) (/ (cos (* 2 (/ 1 x))) (/ 1 sin))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 x) (/ 1 cos))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]backup-simplify: Simplify (* 1 (/ 1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (/ 1 (/ 1 cos)) into cos * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 x))) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (cos (* 2 (/ 1 x))) into (cos (/ 2 x)) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (/ (cos (/ 2 x)) (/ 1 sin)) into (* sin (cos (/ 2 x))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (/ 1 x) (/ 1 cos))) (/ (cos (* 2 (/ 1 x))) (/ 1 sin))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 x) (/ 1 cos))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]backup-simplify: Simplify (* 1 (/ 1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (/ 1 (/ 1 cos)) into cos * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 x))) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (cos (* 2 (/ 1 x))) into (cos (/ 2 x)) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (/ (cos (/ 2 x)) (/ 1 sin)) into (* sin (cos (/ 2 x))) * [misc]backup-simplify: Simplify (* cos (* sin (cos (/ 2 x)))) into (* cos (* sin (cos (/ 2 x)))) * [misc]taylor: Taking taylor expansion of (* cos (* sin (cos (/ 2 x)))) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* sin (cos (/ 2 x))) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]taylor: Taking taylor expansion of (cos (/ 2 x)) in cos * [misc]taylor: Taking taylor expansion of (/ 2 x) in cos * [misc]taylor: Taking taylor expansion of 2 in cos * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 2 x) into (/ 2 x) * [misc]backup-simplify: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (sin (/ 2 x)) into (sin (/ 2 x)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 2 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ 2 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 2 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (cos (/ 2 x)) 1) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (* (sin (/ 2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 2 x)) 0) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (+ (* sin 0) (* 0 (cos (/ 2 x)))) into 0 * [misc]backup-simplify: Simplify (* sin (cos (/ 2 x))) into (* sin (cos (/ 2 x))) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* sin (cos (/ 2 x))))) into (* sin (cos (/ 2 x))) * [misc]taylor: Taking taylor expansion of (* sin (cos (/ 2 x))) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 2 x)) in sin * [misc]taylor: Taking taylor expansion of (/ 2 x) in sin * [misc]taylor: Taking taylor expansion of 2 in sin * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 2 x) into (/ 2 x) * [misc]backup-simplify: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (sin (/ 2 x)) into (sin (/ 2 x)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 2 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ 2 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 2 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (cos (/ 2 x)) 1) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (* (sin (/ 2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 2 x)) 0) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (cos (/ 2 x)))) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 sin)) (+ (* (* sin (cos (/ 2 x))) (/ 0 (/ 1 sin))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 cos))) into 0 * [misc]backup-simplify: Simplify (- (+ (* cos (/ 0 (/ 1 cos))))) into 0 * [misc]backup-simplify: Simplify (+ (* cos 0) (* 0 (* sin (cos (/ 2 x))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 2 x)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ 2 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 2 x)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (+ (* 0 0) (* 0 (cos (/ 2 x))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* sin (cos (/ 2 x)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 2 x)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ 2 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 2 x)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 2 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 sin)) (+ (* (* sin (cos (/ 2 x))) (/ 0 (/ 1 sin))) (* 0 (/ 0 (/ 1 sin))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* cos (/ 0 (/ 1 cos))) (* 0 (/ 0 (/ 1 cos))))) into 0 * [misc]backup-simplify: Simplify (+ (* cos 0) (+ (* 0 0) (* 0 (* sin (cos (/ 2 x)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 2 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ 2 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 2 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 2 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* sin (cos (/ 2 x))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (cos (/ 2 (/ 1 x))) (* (/ 1 sin) (* (/ 1 cos) (/ 1 x)))) into (/ (cos (* 2 x)) (* cos (* x sin))) * [misc]approximate: Taking taylor expansion of (* (/ 1 (* (/ 1 (- x)) (/ 1 (- cos)))) (/ (cos (* 2 (/ 1 (- x)))) (/ 1 (- sin)))) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (/ 1 (- x)) (/ 1 (- cos)))) (/ (cos (* 2 (/ 1 (- x)))) (/ 1 (- sin)))) in sin * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 (- x)) (/ 1 (- cos)))) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in sin * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in sin * [misc]taylor: Taking taylor expansion of (- x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in sin * [misc]taylor: Taking taylor expansion of (- cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]backup-simplify: Simplify (* (/ -1 x) (/ -1 cos)) into (/ 1 (* x cos)) * [misc]backup-simplify: Simplify (/ 1 (/ 1 (* x cos))) into (* x cos) * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 (- x)))) (/ 1 (- sin))) in sin * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 (- x)))) in sin * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- x))) in sin * [misc]taylor: Taking taylor expansion of 2 in sin * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in sin * [misc]taylor: Taking taylor expansion of (- x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* 2 (/ -1 x)) into (/ -2 x) * [misc]backup-simplify: Simplify (cos (/ -2 x)) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (sin (/ -2 x)) into (sin (/ -2 x)) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in sin * [misc]taylor: Taking taylor expansion of (- sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (cos (/ -2 x)) 1) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (* (sin (/ -2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -2 x)) 0) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (/ (cos (/ -2 x)) -1) into (* -1 (cos (/ -2 x))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (/ 1 (- x)) (/ 1 (- cos)))) (/ (cos (* 2 (/ 1 (- x)))) (/ 1 (- sin)))) in cos * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 (- x)) (/ 1 (- cos)))) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in cos * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in cos * [misc]taylor: Taking taylor expansion of (- x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in cos * [misc]taylor: Taking taylor expansion of (- cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 x) -1) into (/ 1 x) * [misc]backup-simplify: Simplify (/ 1 (/ 1 x)) into x * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 (- x)))) (/ 1 (- sin))) in cos * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 (- x)))) in cos * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- x))) in cos * [misc]taylor: Taking taylor expansion of 2 in cos * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in cos * [misc]taylor: Taking taylor expansion of (- x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* 2 (/ -1 x)) into (/ -2 x) * [misc]backup-simplify: Simplify (cos (/ -2 x)) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (sin (/ -2 x)) into (sin (/ -2 x)) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in cos * [misc]taylor: Taking taylor expansion of (- sin) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]backup-simplify: Simplify (* (cos (/ -2 x)) 1) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (* (sin (/ -2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -2 x)) 0) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (/ (cos (/ -2 x)) (/ -1 sin)) into (* -1 (* (cos (/ -2 x)) sin)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (/ 1 (- x)) (/ 1 (- cos)))) (/ (cos (* 2 (/ 1 (- x)))) (/ 1 (- sin)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 (- x)) (/ 1 (- cos)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]backup-simplify: Simplify (* -1 (/ -1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (/ 1 (/ 1 cos)) into cos * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 (- x)))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (cos (* 2 (/ 1 (- x)))) into (cos (/ -2 x)) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in x * [misc]taylor: Taking taylor expansion of (- sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]backup-simplify: Simplify (/ (cos (/ -2 x)) (/ -1 sin)) into (* -1 (* (cos (/ -2 x)) sin)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (/ 1 (- x)) (/ 1 (- cos)))) (/ (cos (* 2 (/ 1 (- x)))) (/ 1 (- sin)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 (- x)) (/ 1 (- cos)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]backup-simplify: Simplify (* -1 (/ -1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (/ 1 (/ 1 cos)) into cos * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 (- x)))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (cos (* 2 (/ 1 (- x)))) into (cos (/ -2 x)) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in x * [misc]taylor: Taking taylor expansion of (- sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]backup-simplify: Simplify (/ (cos (/ -2 x)) (/ -1 sin)) into (* -1 (* (cos (/ -2 x)) sin)) * [misc]backup-simplify: Simplify (* cos (* -1 (* (cos (/ -2 x)) sin))) into (* -1 (* (cos (/ -2 x)) (* cos sin))) * [misc]taylor: Taking taylor expansion of (* -1 (* (cos (/ -2 x)) (* cos sin))) in cos * [misc]taylor: Taking taylor expansion of -1 in cos * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (cos (/ -2 x)) (* cos sin)) in cos * [misc]taylor: Taking taylor expansion of (cos (/ -2 x)) in cos * [misc]taylor: Taking taylor expansion of (/ -2 x) in cos * [misc]taylor: Taking taylor expansion of -2 in cos * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ -2 x) into (/ -2 x) * [misc]backup-simplify: Simplify (cos (/ -2 x)) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (sin (/ -2 x)) into (sin (/ -2 x)) * [misc]taylor: Taking taylor expansion of (* cos sin) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* (cos (/ -2 x)) 1) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (* (sin (/ -2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -2 x)) 0) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 sin)) into sin * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ -2 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -2 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) sin) (* 0 0)) into (* (cos (/ -2 x)) sin) * [misc]backup-simplify: Simplify (* (cos (/ -2 x)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (* (cos (/ -2 x)) sin)) (* 0 0)) into (- (* (cos (/ -2 x)) sin)) * [misc]taylor: Taking taylor expansion of (- (* (cos (/ -2 x)) sin)) in sin * [misc]taylor: Taking taylor expansion of (* (cos (/ -2 x)) sin) in sin * [misc]taylor: Taking taylor expansion of (cos (/ -2 x)) in sin * [misc]taylor: Taking taylor expansion of (/ -2 x) in sin * [misc]taylor: Taking taylor expansion of -2 in sin * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ -2 x) into (/ -2 x) * [misc]backup-simplify: Simplify (cos (/ -2 x)) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (sin (/ -2 x)) into (sin (/ -2 x)) * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (cos (/ -2 x)) 1) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (* (sin (/ -2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -2 x)) 0) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ -2 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -2 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 1) (* 0 0)) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (- (cos (/ -2 x))) into (- (cos (/ -2 x))) * [misc]backup-simplify: Simplify (- (cos (/ -2 x))) into (- (cos (/ -2 x))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 sin)) (+ (* (* -1 (* (cos (/ -2 x)) sin)) (/ 0 (/ -1 sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 cos))) into 0 * [misc]backup-simplify: Simplify (- (+ (* cos (/ 0 (/ 1 cos))))) into 0 * [misc]backup-simplify: Simplify (+ (* cos 0) (* 0 (* -1 (* (cos (/ -2 x)) sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ -2 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -2 x)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 0) (+ (* 0 sin) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 (* (cos (/ -2 x)) sin)) (* 0 0))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ -2 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -2 x)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))) (* 0 (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 sin)) (+ (* (* -1 (* (cos (/ -2 x)) sin)) (/ 0 (/ -1 sin))) (* 0 (/ 0 (/ -1 sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))) (* 0 (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* cos (/ 0 (/ 1 cos))) (* 0 (/ 0 (/ 1 cos))))) into 0 * [misc]backup-simplify: Simplify (+ (* cos 0) (+ (* 0 0) (* 0 (* -1 (* (cos (/ -2 x)) sin))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 sin)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ -2 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -2 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 0) (+ (* 0 0) (+ (* 0 sin) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (* (cos (/ -2 x)) sin)) (* 0 0)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (- (cos (/ -2 (/ 1 (- x))))) (* (/ 1 (- sin)) (* (/ 1 (- cos)) (/ 1 (- x))))) into (/ (cos (* 2 x)) (* cos (* x sin))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (/ 1 (* x cos)) in (x cos) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (* x cos)) in cos * [misc]taylor: Taking taylor expansion of (* x cos) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* x 0) into 0 * [misc]backup-simplify: Simplify (+ (* x 1) (* 0 0)) into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (* x cos)) in x * [misc]taylor: Taking taylor expansion of (* x cos) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (* 0 cos) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 cos)) into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (* x cos)) in x * [misc]taylor: Taking taylor expansion of (* x cos) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (* 0 cos) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 cos)) into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 cos))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* (/ 1 cos) (/ 1 x))) into (/ 1 (* x cos)) * [misc]approximate: Taking taylor expansion of (/ 1 (* (/ 1 x) (/ 1 cos))) in (x cos) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 x) (/ 1 cos))) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in cos * [misc]taylor: Taking taylor expansion of (/ 1 x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 x) 1) into (/ 1 x) * [misc]backup-simplify: Simplify (/ 1 (/ 1 x)) into x * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 x) (/ 1 cos))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]backup-simplify: Simplify (* 1 (/ 1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (/ 1 (/ 1 cos)) into cos * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 x) (/ 1 cos))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]backup-simplify: Simplify (* 1 (/ 1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (/ 1 (/ 1 cos)) into cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 cos))) into 0 * [misc]backup-simplify: Simplify (- (+ (* cos (/ 0 (/ 1 cos))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]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) (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* cos (/ 0 (/ 1 cos))) (* 0 (/ 0 (/ 1 cos))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]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) (/ 0 cos)) (* 0 (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 cos))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* cos (/ 0 (/ 1 cos))) (* 0 (/ 0 (/ 1 cos))) (* 0 (/ 0 (/ 1 cos))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* (/ 1 cos) (/ 1 x))) into (/ 1 (* x cos)) * [misc]approximate: Taking taylor expansion of (/ 1 (* (/ 1 (- x)) (/ 1 (- cos)))) in (x cos) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 (- x)) (/ 1 (- cos)))) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in cos * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in cos * [misc]taylor: Taking taylor expansion of (- x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in cos * [misc]taylor: Taking taylor expansion of (- cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 x) -1) into (/ 1 x) * [misc]backup-simplify: Simplify (/ 1 (/ 1 x)) into x * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 (- x)) (/ 1 (- cos)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]backup-simplify: Simplify (* -1 (/ -1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (/ 1 (/ 1 cos)) into cos * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 (- x)) (/ 1 (- cos)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]backup-simplify: Simplify (* -1 (/ -1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (/ 1 (/ 1 cos)) into cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 cos))) into 0 * [misc]backup-simplify: Simplify (- (+ (* cos (/ 0 (/ 1 cos))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]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) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))) (* 0 (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* cos (/ 0 (/ 1 cos))) (* 0 (/ 0 (/ 1 cos))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]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) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))) (* 0 (/ 0 (- cos))) (* 0 (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 cos))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* cos (/ 0 (/ 1 cos))) (* 0 (/ 0 (/ 1 cos))) (* 0 (/ 0 (/ 1 cos))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* (/ 1 (- cos)) (/ 1 (- x)))) into (/ 1 (* x cos)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (* (/ 1 (* x cos)) (/ (cos (* 2 x)) sin)) (* (* x cos) sin)) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (* x cos)) (/ (cos (* 2 x)) sin)) (* (* x cos) sin)) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 (* x cos)) (/ (cos (* 2 x)) sin)) in sin * [misc]taylor: Taking taylor expansion of (/ 1 (* x cos)) in sin * [misc]taylor: Taking taylor expansion of (* x cos) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (* x cos) into (* x cos) * [misc]backup-simplify: Simplify (/ 1 (* x cos)) into (/ 1 (* x cos)) * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 x)) sin) in sin * [misc]taylor: Taking taylor expansion of (cos (* 2 x)) in sin * [misc]taylor: Taking taylor expansion of (* 2 x) in sin * [misc]taylor: Taking taylor expansion of 2 in sin * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 2 x) into (* 2 x) * [misc]backup-simplify: Simplify (cos (* 2 x)) into (cos (* 2 x)) * [misc]backup-simplify: Simplify (sin (* 2 x)) into (sin (* 2 x)) * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (cos (* 2 x)) 1) into (cos (* 2 x)) * [misc]backup-simplify: Simplify (* (sin (* 2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 2 x)) 0) into (cos (* 2 x)) * [misc]backup-simplify: Simplify (/ (cos (* 2 x)) 1) into (cos (* 2 x)) * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in sin * [misc]taylor: Taking taylor expansion of (* x cos) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (/ 1 (* x cos)) (cos (* 2 x))) into (/ (cos (* 2 x)) (* x cos)) * [misc]backup-simplify: Simplify (* x cos) into (* x cos) * [misc]backup-simplify: Simplify (* (* x cos) 0) into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (* 0 cos)) into 0 * [misc]backup-simplify: Simplify (+ (* (* x cos) 1) (* 0 0)) into (* x cos) * [misc]backup-simplify: Simplify (/ (/ (cos (* 2 x)) (* x cos)) (* x cos)) into (/ (cos (* 2 x)) (* (pow x 2) (pow cos 2))) * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (* x cos)) (/ (cos (* 2 x)) sin)) (* (* x cos) sin)) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 (* x cos)) (/ (cos (* 2 x)) sin)) in cos * [misc]taylor: Taking taylor expansion of (/ 1 (* x cos)) in cos * [misc]taylor: Taking taylor expansion of (* x cos) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* x 0) into 0 * [misc]backup-simplify: Simplify (+ (* x 1) (* 0 0)) into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 x)) sin) in cos * [misc]taylor: Taking taylor expansion of (cos (* 2 x)) in cos * [misc]taylor: Taking taylor expansion of (* 2 x) in cos * [misc]taylor: Taking taylor expansion of 2 in cos * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 2 x) into (* 2 x) * [misc]backup-simplify: Simplify (cos (* 2 x)) into (cos (* 2 x)) * [misc]backup-simplify: Simplify (sin (* 2 x)) into (sin (* 2 x)) * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* (cos (* 2 x)) 1) into (cos (* 2 x)) * [misc]backup-simplify: Simplify (* (sin (* 2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 2 x)) 0) into (cos (* 2 x)) * [misc]backup-simplify: Simplify (/ (cos (* 2 x)) sin) into (/ (cos (* 2 x)) sin) * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in cos * [misc]taylor: Taking taylor expansion of (* x cos) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* (/ 1 x) (/ (cos (* 2 x)) sin)) into (/ (cos (* 2 x)) (* x sin)) * [misc]backup-simplify: Simplify (* x 0) into 0 * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* x 1) (* 0 0)) into x * [misc]backup-simplify: Simplify (+ (* 0 0) (* x sin)) into (* x sin) * [misc]backup-simplify: Simplify (/ (/ (cos (* 2 x)) (* x sin)) (* x sin)) into (/ (cos (* 2 x)) (* (pow x 2) (pow sin 2))) * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (* x cos)) (/ (cos (* 2 x)) sin)) (* (* x cos) sin)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (* x cos)) (/ (cos (* 2 x)) sin)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (* x cos)) in x * [misc]taylor: Taking taylor expansion of (* x cos) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (* 0 cos) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 cos)) into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 x)) sin) in x * [misc]taylor: Taking taylor expansion of (cos (* 2 x)) in x * [misc]taylor: Taking taylor expansion of (* 2 x) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in x * [misc]taylor: Taking taylor expansion of (* x cos) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ 1 sin)) into (/ 1 (* cos sin)) * [misc]backup-simplify: Simplify (* 0 cos) into 0 * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 cos)) into cos * [misc]backup-simplify: Simplify (+ (* 0 0) (* cos sin)) into (* cos sin) * [misc]backup-simplify: Simplify (/ (/ 1 (* cos sin)) (* cos sin)) into (/ 1 (* (pow cos 2) (pow sin 2))) * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (* x cos)) (/ (cos (* 2 x)) sin)) (* (* x cos) sin)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (* x cos)) (/ (cos (* 2 x)) sin)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (* x cos)) in x * [misc]taylor: Taking taylor expansion of (* x cos) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (* 0 cos) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 cos)) into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 x)) sin) in x * [misc]taylor: Taking taylor expansion of (cos (* 2 x)) in x * [misc]taylor: Taking taylor expansion of (* 2 x) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in x * [misc]taylor: Taking taylor expansion of (* x cos) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ 1 sin)) into (/ 1 (* cos sin)) * [misc]backup-simplify: Simplify (* 0 cos) into 0 * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 cos)) into cos * [misc]backup-simplify: Simplify (+ (* 0 0) (* cos sin)) into (* cos sin) * [misc]backup-simplify: Simplify (/ (/ 1 (* cos sin)) (* cos sin)) into (/ 1 (* (pow cos 2) (pow sin 2))) * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow cos 2) (pow sin 2))) in cos * [misc]taylor: Taking taylor expansion of (* (pow cos 2) (pow sin 2)) in cos * [misc]taylor: Taking taylor expansion of (pow cos 2) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow sin 2) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* sin sin) into (pow sin 2) * [misc]backup-simplify: Simplify (* 1 (pow sin 2)) into (pow sin 2) * [misc]backup-simplify: Simplify (/ 1 (pow sin 2)) into (/ 1 (pow sin 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow sin 2)) in sin * [misc]taylor: Taking taylor expansion of (pow sin 2) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 sin) (+ (* (/ 1 sin) (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 cos))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (* 0 (/ 1 sin))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* cos sin)) (+ (* (/ 1 (* (pow cos 2) (pow sin 2))) (/ 0 (* cos sin))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (* 0 sin)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow sin 2))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow sin 2)) (/ 0 (pow sin 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 2 2) 2)) 0) into (- 2) * [misc]backup-simplify: Simplify (- (/ (- 2) sin) (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into (- (* 2 (/ 1 sin))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) (- (* 2 (/ 1 sin)))) (+ (* 0 0) (* 0 (/ 1 sin)))) into (- (* 2 (/ 1 (* cos sin)))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (+ (* 0 0) (* 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (* 2 (/ 1 (* cos sin)))) (* cos sin)) (+ (* (/ 1 (* (pow cos 2) (pow sin 2))) (/ 0 (* cos sin))) (* 0 (/ 0 (* cos sin))))) into (- (* 2 (/ 1 (* (pow cos 2) (pow sin 2))))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (* (pow cos 2) (pow sin 2))))) in cos * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* (pow cos 2) (pow sin 2)))) in cos * [misc]taylor: Taking taylor expansion of 2 in cos * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow cos 2) (pow sin 2))) in cos * [misc]taylor: Taking taylor expansion of (* (pow cos 2) (pow sin 2)) in cos * [misc]taylor: Taking taylor expansion of (pow cos 2) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow sin 2) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* sin sin) into (pow sin 2) * [misc]backup-simplify: Simplify (* 1 (pow sin 2)) into (pow sin 2) * [misc]backup-simplify: Simplify (/ 1 (pow sin 2)) into (/ 1 (pow sin 2)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (pow sin 2))) into (/ 2 (pow sin 2)) * [misc]backup-simplify: Simplify (- (/ 2 (pow sin 2))) into (- (* 2 (/ 1 (pow sin 2)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (pow sin 2)))) in sin * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow sin 2))) in sin * [misc]taylor: Taking taylor expansion of 2 in sin * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow sin 2)) in sin * [misc]taylor: Taking taylor expansion of (pow sin 2) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (+ (* sin 0) (+ (* 0 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow sin 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow sin 2)) (/ 0 (pow sin 2))) (* 0 (/ 0 (pow sin 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 2 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 sin) (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)) (* (- (* 2 (/ 1 sin))) (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 (- (* 2 (/ 1 sin)))) (+ (* 0 0) (* 0 (/ 1 sin))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* cos sin)) (+ (* (/ 1 (* (pow cos 2) (pow sin 2))) (/ 0 (* cos sin))) (* 0 (/ 0 (* cos sin))) (* (- (* 2 (/ 1 (* (pow cos 2) (pow sin 2))))) (/ 0 (* cos sin))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (* 0 sin)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow sin 2))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow sin 2)) (/ 0 (pow sin 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (pow sin 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow sin 2))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow sin 2)) (/ 0 (pow sin 2))) (* 0 (/ 0 (pow sin 2))) (* 0 (/ 0 (pow sin 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 2 4) 24)) 0 (* -1 (/ (pow 2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 2/3 * [misc]backup-simplify: Simplify (- (/ 2/3 sin) (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)) (* (- (* 2 (/ 1 sin))) (/ 0 sin)) (* 0 (/ 0 sin)))) into (* 2/3 (/ 1 sin)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)) (* 0 (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) (* 2/3 (/ 1 sin))) (+ (* 0 0) (+ (* 0 (- (* 2 (/ 1 sin)))) (+ (* 0 0) (* 0 (/ 1 sin)))))) into (* 2/3 (/ 1 (* cos sin))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin)))))) into 0 * [misc]backup-simplify: Simplify (- (/ (* 2/3 (/ 1 (* cos sin))) (* cos sin)) (+ (* (/ 1 (* (pow cos 2) (pow sin 2))) (/ 0 (* cos sin))) (* 0 (/ 0 (* cos sin))) (* (- (* 2 (/ 1 (* (pow cos 2) (pow sin 2))))) (/ 0 (* cos sin))) (* 0 (/ 0 (* cos sin))))) into (* 2/3 (/ 1 (* (pow cos 2) (pow sin 2)))) * [misc]taylor: Taking taylor expansion of (* 2/3 (/ 1 (* (pow cos 2) (pow sin 2)))) in cos * [misc]taylor: Taking taylor expansion of 2/3 in cos * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow cos 2) (pow sin 2))) in cos * [misc]taylor: Taking taylor expansion of (* (pow cos 2) (pow sin 2)) in cos * [misc]taylor: Taking taylor expansion of (pow cos 2) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow sin 2) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* sin sin) into (pow sin 2) * [misc]backup-simplify: Simplify (* 1 (pow sin 2)) into (pow sin 2) * [misc]backup-simplify: Simplify (/ 1 (pow sin 2)) into (/ 1 (pow sin 2)) * [misc]backup-simplify: Simplify (* 2/3 (/ 1 (pow sin 2))) into (/ 2/3 (pow sin 2)) * [misc]taylor: Taking taylor expansion of (/ 2/3 (pow sin 2)) in sin * [misc]taylor: Taking taylor expansion of 2/3 in sin * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]taylor: Taking taylor expansion of (pow sin 2) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 2/3 1) into 2/3 * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]backup-simplify: Simplify (+ (* 2/3 (pow (* (/ 1 sin) (* (/ 1 cos) x)) 2)) (+ (* -2 (pow (* (/ 1 sin) (* (/ 1 cos) 1)) 2)) (* 1 (pow (* (/ 1 sin) (* (/ 1 cos) (/ 1 x))) 2)))) into (- (+ (/ 1 (* (pow x 2) (* (pow sin 2) (pow cos 2)))) (* 2/3 (/ (pow x 2) (* (pow sin 2) (pow cos 2))))) (* 2 (/ 1 (* (pow sin 2) (pow cos 2))))) * [misc]approximate: Taking taylor expansion of (/ (* (/ 1 (* (/ 1 x) (/ 1 cos))) (/ (cos (* 2 (/ 1 x))) (/ 1 sin))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (* (/ 1 x) (/ 1 cos))) (/ (cos (* 2 (/ 1 x))) (/ 1 sin))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (/ 1 x) (/ 1 cos))) (/ (cos (* 2 (/ 1 x))) (/ 1 sin))) in sin * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 x) (/ 1 cos))) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in sin * [misc]taylor: Taking taylor expansion of (/ 1 x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 x) (/ 1 cos)) into (/ 1 (* x cos)) * [misc]backup-simplify: Simplify (/ 1 (/ 1 (* x cos))) into (* x cos) * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 x))) (/ 1 sin)) in sin * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 x))) in sin * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in sin * [misc]taylor: Taking taylor expansion of 2 in sin * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 2 (/ 1 x)) into (/ 2 x) * [misc]backup-simplify: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (sin (/ 2 x)) into (sin (/ 2 x)) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (cos (/ 2 x)) 1) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (* (sin (/ 2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 2 x)) 0) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (/ (cos (/ 2 x)) 1) into (cos (/ 2 x)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in sin * [misc]taylor: Taking taylor expansion of (/ 1 x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* x cos) (cos (/ 2 x))) into (* x (* cos (cos (/ 2 x)))) * [misc]backup-simplify: Simplify (* (/ 1 x) (/ 1 cos)) into (/ 1 (* x cos)) * [misc]backup-simplify: Simplify (* (/ 1 (* x cos)) 1) into (/ 1 (* x cos)) * [misc]backup-simplify: Simplify (/ (* x (* cos (cos (/ 2 x)))) (/ 1 (* x cos))) into (* (pow x 2) (* (pow cos 2) (cos (/ 2 x)))) * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (* (/ 1 x) (/ 1 cos))) (/ (cos (* 2 (/ 1 x))) (/ 1 sin))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (/ 1 x) (/ 1 cos))) (/ (cos (* 2 (/ 1 x))) (/ 1 sin))) in cos * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 x) (/ 1 cos))) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in cos * [misc]taylor: Taking taylor expansion of (/ 1 x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 x) 1) into (/ 1 x) * [misc]backup-simplify: Simplify (/ 1 (/ 1 x)) into x * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 x))) (/ 1 sin)) in cos * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 x))) in cos * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in cos * [misc]taylor: Taking taylor expansion of 2 in cos * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 2 (/ 1 x)) into (/ 2 x) * [misc]backup-simplify: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (sin (/ 2 x)) into (sin (/ 2 x)) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (* (cos (/ 2 x)) 1) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (* (sin (/ 2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 2 x)) 0) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (/ (cos (/ 2 x)) (/ 1 sin)) into (* sin (cos (/ 2 x))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in cos * [misc]taylor: Taking taylor expansion of (/ 1 x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 sin) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (* x (* sin (cos (/ 2 x)))) into (* x (* sin (cos (/ 2 x)))) * [misc]backup-simplify: Simplify (* (/ 1 x) 1) into (/ 1 x) * [misc]backup-simplify: Simplify (* (/ 1 x) (/ 1 sin)) into (/ 1 (* x sin)) * [misc]backup-simplify: Simplify (/ (* x (* sin (cos (/ 2 x)))) (/ 1 (* x sin))) into (* (pow x 2) (* (pow sin 2) (cos (/ 2 x)))) * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (* (/ 1 x) (/ 1 cos))) (/ (cos (* 2 (/ 1 x))) (/ 1 sin))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (/ 1 x) (/ 1 cos))) (/ (cos (* 2 (/ 1 x))) (/ 1 sin))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 x) (/ 1 cos))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]backup-simplify: Simplify (* 1 (/ 1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (/ 1 (/ 1 cos)) into cos * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 x))) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (cos (* 2 (/ 1 x))) into (cos (/ 2 x)) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (/ (cos (/ 2 x)) (/ 1 sin)) into (* sin (cos (/ 2 x))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (* cos (* sin (cos (/ 2 x)))) into (* cos (* sin (cos (/ 2 x)))) * [misc]backup-simplify: Simplify (* 1 (/ 1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ 1 sin)) into (/ 1 (* cos sin)) * [misc]backup-simplify: Simplify (/ (* cos (* sin (cos (/ 2 x)))) (/ 1 (* cos sin))) into (* (pow cos 2) (* (pow sin 2) (cos (/ 2 x)))) * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (* (/ 1 x) (/ 1 cos))) (/ (cos (* 2 (/ 1 x))) (/ 1 sin))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (/ 1 x) (/ 1 cos))) (/ (cos (* 2 (/ 1 x))) (/ 1 sin))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 x) (/ 1 cos))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]backup-simplify: Simplify (* 1 (/ 1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (/ 1 (/ 1 cos)) into cos * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 x))) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (cos (* 2 (/ 1 x))) into (cos (/ 2 x)) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (/ (cos (/ 2 x)) (/ 1 sin)) into (* sin (cos (/ 2 x))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (* cos (* sin (cos (/ 2 x)))) into (* cos (* sin (cos (/ 2 x)))) * [misc]backup-simplify: Simplify (* 1 (/ 1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ 1 sin)) into (/ 1 (* cos sin)) * [misc]backup-simplify: Simplify (/ (* cos (* sin (cos (/ 2 x)))) (/ 1 (* cos sin))) into (* (pow cos 2) (* (pow sin 2) (cos (/ 2 x)))) * [misc]taylor: Taking taylor expansion of (* (pow cos 2) (* (pow sin 2) (cos (/ 2 x)))) in cos * [misc]taylor: Taking taylor expansion of (pow cos 2) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow sin 2) (cos (/ 2 x))) in cos * [misc]taylor: Taking taylor expansion of (pow sin 2) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]taylor: Taking taylor expansion of (cos (/ 2 x)) in cos * [misc]taylor: Taking taylor expansion of (/ 2 x) in cos * [misc]taylor: Taking taylor expansion of 2 in cos * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 2 x) into (/ 2 x) * [misc]backup-simplify: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (sin (/ 2 x)) into (sin (/ 2 x)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* sin sin) into (pow sin 2) * [misc]backup-simplify: Simplify (* (cos (/ 2 x)) 1) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (* (sin (/ 2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 2 x)) 0) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (* (pow sin 2) (cos (/ 2 x))) into (* (pow sin 2) (cos (/ 2 x))) * [misc]backup-simplify: Simplify (* 1 (* (pow sin 2) (cos (/ 2 x)))) into (* (pow sin 2) (cos (/ 2 x))) * [misc]taylor: Taking taylor expansion of (* (pow sin 2) (cos (/ 2 x))) in sin * [misc]taylor: Taking taylor expansion of (pow sin 2) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 2 x)) in sin * [misc]taylor: Taking taylor expansion of (/ 2 x) in sin * [misc]taylor: Taking taylor expansion of 2 in sin * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 2 x) into (/ 2 x) * [misc]backup-simplify: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (sin (/ 2 x)) into (sin (/ 2 x)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (cos (/ 2 x)) 1) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (* (sin (/ 2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 2 x)) 0) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (* 1 (cos (/ 2 x))) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 sin)) (+ (* (* sin (cos (/ 2 x))) (/ 0 (/ 1 sin))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 cos))) into 0 * [misc]backup-simplify: Simplify (- (+ (* cos (/ 0 (/ 1 cos))))) into 0 * [misc]backup-simplify: Simplify (+ (* cos 0) (* 0 (* sin (cos (/ 2 x))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (* 0 (/ 1 sin))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (* cos sin))) (+ (* (* (pow cos 2) (* (pow sin 2) (cos (/ 2 x)))) (/ 0 (/ 1 (* cos sin)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]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 (/ 2 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ 2 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 2 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (* 0 sin)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow sin 2) 0) (* 0 (cos (/ 2 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (* (pow sin 2) (cos (/ 2 x))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]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 (/ 2 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ 2 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 2 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (cos (/ 2 x)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 sin)) (+ (* (* sin (cos (/ 2 x))) (/ 0 (/ 1 sin))) (* 0 (/ 0 (/ 1 sin))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* cos (/ 0 (/ 1 cos))) (* 0 (/ 0 (/ 1 cos))))) into 0 * [misc]backup-simplify: Simplify (+ (* cos 0) (+ (* 0 0) (* 0 (* sin (cos (/ 2 x)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (* 0 (/ 1 sin)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (* cos sin))) (+ (* (* (pow cos 2) (* (pow sin 2) (cos (/ 2 x)))) (/ 0 (/ 1 (* cos sin)))) (* 0 (/ 0 (/ 1 (* cos sin)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 2 x)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ 2 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 2 x)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (+ (* 0 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow sin 2) 0) (+ (* 0 0) (* 0 (cos (/ 2 x))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (* (pow sin 2) (cos (/ 2 x)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (cos (/ 2 (/ 1 x))) (pow (* (/ 1 sin) (* (/ 1 cos) (/ 1 x))) 2)) into (/ (cos (* 2 x)) (* (pow cos 2) (* (pow x 2) (pow sin 2)))) * [misc]approximate: Taking taylor expansion of (/ (* (/ 1 (* (/ 1 (- x)) (/ 1 (- cos)))) (/ (cos (* 2 (/ 1 (- x)))) (/ 1 (- sin)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (* (/ 1 (- x)) (/ 1 (- cos)))) (/ (cos (* 2 (/ 1 (- x)))) (/ 1 (- sin)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (/ 1 (- x)) (/ 1 (- cos)))) (/ (cos (* 2 (/ 1 (- x)))) (/ 1 (- sin)))) in sin * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 (- x)) (/ 1 (- cos)))) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in sin * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in sin * [misc]taylor: Taking taylor expansion of (- x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in sin * [misc]taylor: Taking taylor expansion of (- cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]backup-simplify: Simplify (* (/ -1 x) (/ -1 cos)) into (/ 1 (* x cos)) * [misc]backup-simplify: Simplify (/ 1 (/ 1 (* x cos))) into (* x cos) * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 (- x)))) (/ 1 (- sin))) in sin * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 (- x)))) in sin * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- x))) in sin * [misc]taylor: Taking taylor expansion of 2 in sin * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in sin * [misc]taylor: Taking taylor expansion of (- x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* 2 (/ -1 x)) into (/ -2 x) * [misc]backup-simplify: Simplify (cos (/ -2 x)) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (sin (/ -2 x)) into (sin (/ -2 x)) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in sin * [misc]taylor: Taking taylor expansion of (- sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (cos (/ -2 x)) 1) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (* (sin (/ -2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -2 x)) 0) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (/ (cos (/ -2 x)) -1) into (* -1 (cos (/ -2 x))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in sin * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in sin * [misc]taylor: Taking taylor expansion of (- x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in sin * [misc]taylor: Taking taylor expansion of (- cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in sin * [misc]taylor: Taking taylor expansion of (- sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* x cos) (* -1 (cos (/ -2 x)))) into (* -1 (* (cos (/ -2 x)) (* x cos))) * [misc]backup-simplify: Simplify (* (/ -1 x) (/ -1 cos)) into (/ 1 (* x cos)) * [misc]backup-simplify: Simplify (* (/ 1 (* x cos)) -1) into (/ -1 (* x cos)) * [misc]backup-simplify: Simplify (/ (* -1 (* (cos (/ -2 x)) (* x cos))) (/ -1 (* x cos))) into (* (cos (/ -2 x)) (* (pow x 2) (pow cos 2))) * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (* (/ 1 (- x)) (/ 1 (- cos)))) (/ (cos (* 2 (/ 1 (- x)))) (/ 1 (- sin)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (/ 1 (- x)) (/ 1 (- cos)))) (/ (cos (* 2 (/ 1 (- x)))) (/ 1 (- sin)))) in cos * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 (- x)) (/ 1 (- cos)))) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in cos * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in cos * [misc]taylor: Taking taylor expansion of (- x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in cos * [misc]taylor: Taking taylor expansion of (- cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 x) -1) into (/ 1 x) * [misc]backup-simplify: Simplify (/ 1 (/ 1 x)) into x * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 (- x)))) (/ 1 (- sin))) in cos * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 (- x)))) in cos * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- x))) in cos * [misc]taylor: Taking taylor expansion of 2 in cos * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in cos * [misc]taylor: Taking taylor expansion of (- x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* 2 (/ -1 x)) into (/ -2 x) * [misc]backup-simplify: Simplify (cos (/ -2 x)) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (sin (/ -2 x)) into (sin (/ -2 x)) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in cos * [misc]taylor: Taking taylor expansion of (- sin) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]backup-simplify: Simplify (* (cos (/ -2 x)) 1) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (* (sin (/ -2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -2 x)) 0) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (/ (cos (/ -2 x)) (/ -1 sin)) into (* -1 (* (cos (/ -2 x)) sin)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in cos * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in cos * [misc]taylor: Taking taylor expansion of (- x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in cos * [misc]taylor: Taking taylor expansion of (- cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in cos * [misc]taylor: Taking taylor expansion of (- sin) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]backup-simplify: Simplify (* x (* -1 (* (cos (/ -2 x)) sin))) into (* -1 (* (cos (/ -2 x)) (* x sin))) * [misc]backup-simplify: Simplify (* (/ -1 x) -1) into (/ 1 x) * [misc]backup-simplify: Simplify (* (/ 1 x) (/ -1 sin)) into (/ -1 (* x sin)) * [misc]backup-simplify: Simplify (/ (* -1 (* (cos (/ -2 x)) (* x sin))) (/ -1 (* x sin))) into (* (cos (/ -2 x)) (* (pow x 2) (pow sin 2))) * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (* (/ 1 (- x)) (/ 1 (- cos)))) (/ (cos (* 2 (/ 1 (- x)))) (/ 1 (- sin)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (/ 1 (- x)) (/ 1 (- cos)))) (/ (cos (* 2 (/ 1 (- x)))) (/ 1 (- sin)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 (- x)) (/ 1 (- cos)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]backup-simplify: Simplify (* -1 (/ -1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (/ 1 (/ 1 cos)) into cos * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 (- x)))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (cos (* 2 (/ 1 (- x)))) into (cos (/ -2 x)) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in x * [misc]taylor: Taking taylor expansion of (- sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]backup-simplify: Simplify (/ (cos (/ -2 x)) (/ -1 sin)) into (* -1 (* (cos (/ -2 x)) sin)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in x * [misc]taylor: Taking taylor expansion of (- sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]backup-simplify: Simplify (* cos (* -1 (* (cos (/ -2 x)) sin))) into (* -1 (* (cos (/ -2 x)) (* cos sin))) * [misc]backup-simplify: Simplify (* -1 (/ -1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ -1 sin)) into (/ -1 (* cos sin)) * [misc]backup-simplify: Simplify (/ (* -1 (* (cos (/ -2 x)) (* cos sin))) (/ -1 (* cos sin))) into (* (cos (/ -2 x)) (* (pow cos 2) (pow sin 2))) * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (* (/ 1 (- x)) (/ 1 (- cos)))) (/ (cos (* 2 (/ 1 (- x)))) (/ 1 (- sin)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (/ 1 (- x)) (/ 1 (- cos)))) (/ (cos (* 2 (/ 1 (- x)))) (/ 1 (- sin)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 (- x)) (/ 1 (- cos)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]backup-simplify: Simplify (* -1 (/ -1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (/ 1 (/ 1 cos)) into cos * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 (- x)))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (cos (* 2 (/ 1 (- x)))) into (cos (/ -2 x)) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in x * [misc]taylor: Taking taylor expansion of (- sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]backup-simplify: Simplify (/ (cos (/ -2 x)) (/ -1 sin)) into (* -1 (* (cos (/ -2 x)) sin)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in x * [misc]taylor: Taking taylor expansion of (- sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]backup-simplify: Simplify (* cos (* -1 (* (cos (/ -2 x)) sin))) into (* -1 (* (cos (/ -2 x)) (* cos sin))) * [misc]backup-simplify: Simplify (* -1 (/ -1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ -1 sin)) into (/ -1 (* cos sin)) * [misc]backup-simplify: Simplify (/ (* -1 (* (cos (/ -2 x)) (* cos sin))) (/ -1 (* cos sin))) into (* (cos (/ -2 x)) (* (pow cos 2) (pow sin 2))) * [misc]taylor: Taking taylor expansion of (* (cos (/ -2 x)) (* (pow cos 2) (pow sin 2))) in cos * [misc]taylor: Taking taylor expansion of (cos (/ -2 x)) in cos * [misc]taylor: Taking taylor expansion of (/ -2 x) in cos * [misc]taylor: Taking taylor expansion of -2 in cos * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ -2 x) into (/ -2 x) * [misc]backup-simplify: Simplify (cos (/ -2 x)) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (sin (/ -2 x)) into (sin (/ -2 x)) * [misc]taylor: Taking taylor expansion of (* (pow cos 2) (pow sin 2)) in cos * [misc]taylor: Taking taylor expansion of (pow cos 2) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow sin 2) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* (cos (/ -2 x)) 1) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (* (sin (/ -2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -2 x)) 0) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* sin sin) into (pow sin 2) * [misc]backup-simplify: Simplify (* 1 (pow sin 2)) into (pow sin 2) * [misc]backup-simplify: Simplify (* (cos (/ -2 x)) (pow sin 2)) into (* (cos (/ -2 x)) (pow sin 2)) * [misc]taylor: Taking taylor expansion of (* (cos (/ -2 x)) (pow sin 2)) in sin * [misc]taylor: Taking taylor expansion of (cos (/ -2 x)) in sin * [misc]taylor: Taking taylor expansion of (/ -2 x) in sin * [misc]taylor: Taking taylor expansion of -2 in sin * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ -2 x) into (/ -2 x) * [misc]backup-simplify: Simplify (cos (/ -2 x)) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (sin (/ -2 x)) into (sin (/ -2 x)) * [misc]taylor: Taking taylor expansion of (pow sin 2) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (cos (/ -2 x)) 1) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (* (sin (/ -2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -2 x)) 0) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (cos (/ -2 x)) 1) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (cos (/ -2 x)) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 sin)) (+ (* (* -1 (* (cos (/ -2 x)) sin)) (/ 0 (/ -1 sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 cos))) into 0 * [misc]backup-simplify: Simplify (- (+ (* cos (/ 0 (/ 1 cos))))) into 0 * [misc]backup-simplify: Simplify (+ (* cos 0) (* 0 (* -1 (* (cos (/ -2 x)) sin)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (* 0 (/ -1 sin))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 (* cos sin))) (+ (* (* (cos (/ -2 x)) (* (pow cos 2) (pow sin 2))) (/ 0 (/ -1 (* cos sin)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (* 0 sin)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow sin 2))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ -2 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -2 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 0) (* 0 (pow sin 2))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ -2 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -2 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))) (* 0 (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 sin)) (+ (* (* -1 (* (cos (/ -2 x)) sin)) (/ 0 (/ -1 sin))) (* 0 (/ 0 (/ -1 sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))) (* 0 (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* cos (/ 0 (/ 1 cos))) (* 0 (/ 0 (/ 1 cos))))) into 0 * [misc]backup-simplify: Simplify (+ (* cos 0) (+ (* 0 0) (* 0 (* -1 (* (cos (/ -2 x)) sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))) (* 0 (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))) (* 0 (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (* 0 (/ -1 sin)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 (* cos sin))) (+ (* (* (cos (/ -2 x)) (* (pow cos 2) (pow sin 2))) (/ 0 (/ -1 (* cos sin)))) (* 0 (/ 0 (/ -1 (* cos sin)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (+ (* 0 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow sin 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ -2 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -2 x)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 0) (+ (* 0 0) (* 0 (pow sin 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (cos (/ -2 (/ 1 (- x)))) (pow (* (/ 1 (- sin)) (* (/ 1 (- cos)) (/ 1 (- x)))) 2)) into (/ (cos (* 2 x)) (* (pow cos 2) (* (pow x 2) (pow sin 2)))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (* x cos)) (/ (cos (* 2 x)) sin)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (286 enodes) * [exit]simplify: Simplified to (/ (cos (* 2 x)) (* cos (* sin x))) * [misc]simplify: Simplified (2 1 1) to (λ (x cos sin) (/ (pow (/ (cos (* 2 x)) (* cos (* sin x))) 1) (* (* x cos) sin))) * * * * [misc]progress: [ 11 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (* x cos))) (log (/ (cos (* 2 x)) sin))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (235 enodes) * [exit]simplify: Simplified to (- (log (cos (* 2 x))) (+ (log sin) (log (* x cos)))) * [misc]simplify: Simplified (2 1 1) to (λ (x cos sin) (/ (exp (- (log (cos (* 2 x))) (+ (log sin) (log (* x cos))))) (* (* x cos) sin))) * * * * [misc]progress: [ 13 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ 1 (* x cos))) (log (/ (cos (* 2 x)) sin))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (185 enodes) * * [misc]simplify: iters left: 1 (490 enodes) * [exit]simplify: Simplified to (- (log (cos (* 2 x))) (+ (log sin) (log (* cos x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x cos sin) (/ (exp (- (log (cos (* 2 x))) (+ (log sin) (log (* cos x))))) (* (* x cos) sin))) * * * * [misc]progress: [ 14 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ 1 (* x cos)) (/ 1 (* x cos))) (/ 1 (* x cos))) (* (* (/ (cos (* 2 x)) sin) (/ (cos (* 2 x)) sin)) (/ (cos (* 2 x)) sin))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * [exit]simplify: Simplified to (* (* (/ (cos (* x 2)) sin) (/ (/ 1 (* cos x)) (* (* cos x) (* cos x)))) (* (/ (cos (* x 2)) sin) (/ (cos (* x 2)) sin))) * [misc]simplify: Simplified (2 1 1) to (λ (x cos sin) (/ (cbrt (* (* (/ (cos (* x 2)) sin) (/ (/ 1 (* cos x)) (* (* cos x) (* cos x)))) (* (/ (cos (* x 2)) sin) (/ (cos (* x 2)) sin)))) (* (* x cos) sin))) * * * * [misc]progress: [ 17 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (cos (* 2 x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (cos (* x 2)) * [misc]simplify: Simplified (2 1 1) to (λ (x cos sin) (/ (/ (cos (* x 2)) (* (* x cos) sin)) (* (* x cos) sin))) * [enter]simplify: Simplifying (* (* x cos) sin) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (* x cos) sin) * [misc]simplify: Simplified (2 1 2) to (λ (x cos sin) (/ (/ (cos (* x 2)) (* (* x cos) sin)) (* (* x cos) sin))) * * * * [misc]progress: [ 21 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (cos (* 2 x)) sin)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (cbrt (/ (cos (* 2 x)) sin)) * [misc]simplify: Simplified (2 1 2) to (λ (x cos sin) (/ (* (* (/ 1 (* x cos)) (* (cbrt (/ (cos (* 2 x)) sin)) (cbrt (/ (cos (* 2 x)) sin)))) (cbrt (/ (cos (* 2 x)) sin))) (* (* x cos) sin))) * * * * [misc]progress: [ 23 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (cos (* 2 x)) sin)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (/ (cos (* 2 x)) sin)) * [misc]simplify: Simplified (2 1 2) to (λ (x cos sin) (/ (* (* (/ 1 (* x cos)) (sqrt (/ (cos (* 2 x)) sin))) (sqrt (/ (cos (* 2 x)) sin))) (* (* x cos) sin))) * * * * [misc]progress: [ 24 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos (* 2 x)) sin) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (cos (* 2 x)) sin) * [misc]simplify: Simplified (2 1 2) to (λ (x cos sin) (/ (* (* (/ 1 (* x cos)) 1) (/ (cos (* 2 x)) sin)) (* (* x cos) sin))) * * * * [misc]progress: [ 25 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 sin) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 sin) * [misc]simplify: Simplified (2 1 2) to (λ (x cos sin) (/ (* (* (/ 1 (* x cos)) (cos (* 2 x))) (/ 1 sin)) (* (* x cos) sin))) * * * * [misc]progress: [ 26 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 1 (* x cos))) (cbrt (/ 1 (* x cos)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1 (* cos x))) (cbrt (/ 1 (* cos x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x cos sin) (/ (* (* (cbrt (/ 1 (* cos x))) (cbrt (/ 1 (* cos x)))) (* (cbrt (/ 1 (* x cos))) (/ (cos (* 2 x)) sin))) (* (* x cos) sin))) * * * * [misc]progress: [ 27 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (* x cos))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (* cos x))) * [misc]simplify: Simplified (2 1 1) to (λ (x cos sin) (/ (* (sqrt (/ 1 (* cos x))) (* (sqrt (/ 1 (* x cos))) (/ (cos (* 2 x)) sin))) (* (* x cos) sin))) * * * * [misc]progress: [ 28 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (/ (cos (* 2 x)) sin)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (/ (cos (* x 2)) sin) * [misc]simplify: Simplified (2 1 1) to (λ (x cos sin) (/ (/ (/ (cos (* x 2)) sin) (* x cos)) (* (* x cos) sin))) * * * * [misc]progress: [ 32 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to -1 * [misc]simplify: Simplified (2 1 1 2) to (λ (x cos sin) (/ (* (pow (* x cos) -1) (/ (cos (* 2 x)) sin)) (* (* x cos) sin))) * * * * [misc]progress: [ 35 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (- (log (* x cos))) (log (/ (cos (* 2 x)) sin))) (log (* (* x cos) sin))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (195 enodes) * [exit]simplify: Simplified to (- (log (cos (* 2 x))) (+ (log (* x (* sin cos))) (log (* x (* sin cos))))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (exp (- (log (cos (* 2 x))) (+ (log (* x (* sin cos))) (log (* x (* sin cos))))))) * * * * [misc]progress: [ 49 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (log (/ 1 (* x cos))) (log (/ (cos (* 2 x)) sin))) (log (* (* x cos) sin))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (220 enodes) * [exit]simplify: Simplified to (- (- (log (cos (* 2 x))) (log (* (* cos x) sin))) (log (* (* cos x) sin))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (exp (- (- (log (cos (* 2 x))) (log (* (* cos x) sin))) (log (* (* cos x) sin))))) * * * * [misc]progress: [ 50 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (* (/ 1 (* x cos)) (/ (cos (* 2 x)) sin))) (log (* (* x cos) sin))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (262 enodes) * [exit]simplify: Simplified to (- (log (/ (cos (* 2 x)) (* sin (* cos x)))) (log (* sin (* cos x)))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (exp (- (log (/ (cos (* 2 x)) (* sin (* cos x)))) (log (* sin (* cos x)))))) * * * * [misc]progress: [ 51 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (* (/ 1 (* x cos)) (/ 1 (* x cos))) (/ 1 (* x cos))) (* (* (/ (cos (* 2 x)) sin) (/ (cos (* 2 x)) sin)) (/ (cos (* 2 x)) sin))) (* (* (* (* x cos) sin) (* (* x cos) sin)) (* (* x cos) sin))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (321 enodes) * [exit]simplify: Simplified to (/ (pow (/ (cos (* x 2)) sin) 3) (/ (pow (* cos (* sin x)) 3) (/ (/ 1 (* cos x)) (* (* cos x) (* cos x))))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (cbrt (/ (pow (/ (cos (* x 2)) sin) 3) (/ (pow (* cos (* sin x)) 3) (/ (/ 1 (* cos x)) (* (* cos x) (* cos x))))))) * * * * [misc]progress: [ 54 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (* (/ 1 (* x cos)) (/ (cos (* 2 x)) sin)) (* (/ 1 (* x cos)) (/ (cos (* 2 x)) sin))) (* (/ 1 (* x cos)) (/ (cos (* 2 x)) sin))) (* (* (* (* x cos) sin) (* (* x cos) sin)) (* (* x cos) sin))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (301 enodes) * [exit]simplify: Simplified to (pow (/ (/ (cos (* 2 x)) (* (* sin x) cos)) (* (* sin x) cos)) 3) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (cbrt (pow (/ (/ (cos (* 2 x)) (* (* sin x) cos)) (* (* sin x) cos)) 3))) * * * * [misc]progress: [ 55 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* x cos)) (* x cos)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (/ (/ 1 (* cos x)) (* cos x)) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (* (/ (/ 1 (* cos x)) (* cos x)) (/ (/ (cos (* 2 x)) sin) sin))) * [enter]simplify: Simplifying (/ (/ (cos (* 2 x)) sin) sin) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (cos (* 2 x)) (* sin sin)) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (* (/ (/ 1 (* x cos)) (* x cos)) (/ (cos (* 2 x)) (* sin sin)))) * * * * [misc]progress: [ 60 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* x cos)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ 1 (* cos x)) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (/ (/ 1 (* cos x)) (/ (* (* x cos) sin) (/ (cos (* 2 x)) sin)))) * * * * [misc]progress: [ 65 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (cos (* 2 x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (cos (* x 2)) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (/ (cos (* x 2)) (* (* (* x cos) sin) (* (* x cos) sin)))) * * * * [misc]progress: [ 66 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (* x cos)) (cos (* 2 x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (141 enodes) * * [misc]simplify: iters left: 1 (179 enodes) * [exit]simplify: Simplified to (/ (cos (* 2 x)) (* cos x)) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (/ (/ (cos (* 2 x)) (* cos x)) (* (* (* x cos) sin) sin))) * * * * [misc]progress: [ 67 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (/ (cos (* 2 x)) sin)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (/ (cos (* x 2)) sin) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (/ (/ (cos (* x 2)) sin) (* (* (* x cos) sin) (* x cos)))) * * * * [misc]progress: [ 68 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (/ (* (/ 1 (* x cos)) (/ (cos (* 2 x)) sin)) 0)) * * * * [misc]progress: [ 69 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* x (* sin cos)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (* cos sin) x) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (/ (* (/ 1 (* x cos)) (/ (cos (* 2 x)) sin)) (* (* cos sin) x))) * * * * [misc]progress: [ 70 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* x (* sin cos)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (* cos sin) x) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (/ (* (/ 1 (* x cos)) (/ (cos (* 2 x)) sin)) (* (* cos sin) x))) * * * * [misc]progress: [ 71 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 (* x (* sin cos))) (* 2 (/ x (* sin cos)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (174 enodes) * * [misc]simplify: iters left: 1 (210 enodes) * [exit]simplify: Simplified to (+ (/ (/ x sin) (/ cos -2)) (/ (/ 1 x) (* sin cos))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (/ (+ (/ (/ x sin) (/ cos -2)) (/ (/ 1 x) (* sin cos))) (* (* x cos) sin))) * * * * [misc]progress: [ 72 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos (* 2 x)) (* cos (* x sin))) * * [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 (23 enodes) * [exit]simplify: Simplified to (/ (cos (* 2 x)) (* (* cos sin) x)) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (/ (/ (cos (* 2 x)) (* (* cos sin) x)) (* (* x cos) sin))) * * * * [misc]progress: [ 73 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos (* 2 x)) (* cos (* x sin))) * * [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 (23 enodes) * [exit]simplify: Simplified to (/ (cos (* 2 x)) (* (* cos sin) x)) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (/ (/ (cos (* 2 x)) (* (* cos sin) x)) (* (* x cos) sin))) * * * * [misc]progress: [ 74 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* x cos)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ 1 (* cos x)) * [misc]simplify: Simplified (2 1 1) to (λ (x cos sin) (/ (* (/ 1 (* cos x)) (/ (cos (* 2 x)) sin)) (* (* x cos) sin))) * * * * [misc]progress: [ 75 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* x cos)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ 1 (* cos x)) * [misc]simplify: Simplified (2 1 1) to (λ (x cos sin) (/ (* (/ 1 (* cos x)) (/ (cos (* 2 x)) sin)) (* (* x cos) sin))) * * * * [misc]progress: [ 76 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* x cos)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ 1 (* cos x)) * [misc]simplify: Simplified (2 1 1) to (λ (x cos sin) (/ (* (/ 1 (* cos x)) (/ (cos (* 2 x)) sin)) (* (* x cos) sin))) * * * * [misc]progress: [ 77 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ 1 (* (pow x 2) (* (pow sin 2) (pow cos 2)))) (* 2/3 (/ (pow x 2) (* (pow sin 2) (pow cos 2))))) (* 2 (/ 1 (* (pow sin 2) (pow cos 2))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (388 enodes) * [exit]simplify: Simplified to (+ (/ (* (* x x) 2/3) (* (* cos sin) (* cos sin))) (+ (/ (/ 1 (* x x)) (* (* cos sin) (* cos sin))) (/ -2 (* (* cos sin) (* cos sin))))) * [misc]simplify: Simplified (2) to (λ (x cos sin) (+ (/ (* (* x x) 2/3) (* (* cos sin) (* cos sin))) (+ (/ (/ 1 (* x x)) (* (* cos sin) (* cos sin))) (/ -2 (* (* cos sin) (* cos sin)))))) * * * * [misc]progress: [ 78 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos (* 2 x)) (* (pow cos 2) (* (pow x 2) (pow sin 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (224 enodes) * * [misc]simplify: iters left: 1 (356 enodes) * [exit]simplify: Simplified to (/ (cos (* 2 x)) (* (* (* x sin) cos) (* (* x sin) cos))) * [misc]simplify: Simplified (2) to (λ (x cos sin) (/ (cos (* 2 x)) (* (* (* x sin) cos) (* (* x sin) cos)))) * * * * [misc]progress: [ 79 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos (* 2 x)) (* (pow cos 2) (* (pow x 2) (pow sin 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (224 enodes) * * [misc]simplify: iters left: 1 (356 enodes) * [exit]simplify: Simplified to (/ (cos (* 2 x)) (* (* (* x sin) cos) (* (* x sin) cos))) * [misc]simplify: Simplified (2) to (λ (x cos sin) (/ (cos (* 2 x)) (* (* (* x sin) cos) (* (* x sin) cos)))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) * * * * [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 2) * [misc]approximate: Taking taylor expansion of (* (* x cos) sin) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in sin * [misc]taylor: Taking taylor expansion of (* x cos) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in cos * [misc]taylor: Taking taylor expansion of (* x cos) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in x * [misc]taylor: Taking taylor expansion of (* x cos) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in x * [misc]taylor: Taking taylor expansion of (* x cos) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 cos) into 0 * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 cos)) into cos * [misc]backup-simplify: Simplify (+ (* 0 0) (* cos sin)) into (* cos sin) * [misc]taylor: Taking taylor expansion of (* cos sin) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (* 0 sin))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 sin)) into sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]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]approximate: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in sin * [misc]taylor: Taking taylor expansion of (/ 1 x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in cos * [misc]taylor: Taking taylor expansion of (/ 1 x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 sin) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (* 1 (/ 1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ 1 sin)) into (/ 1 (* cos sin)) * [misc]taylor: Taking taylor expansion of (/ 1 (* cos sin)) in cos * [misc]taylor: Taking taylor expansion of (* cos sin) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 sin)) into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (* 0 (/ 1 sin))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (* 0 (/ 1 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 cos))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 sin))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* (/ 1 (/ 1 sin)) (* (/ 1 (/ 1 cos)) (/ 1 (/ 1 x))))) into (* x (* sin cos)) * [misc]approximate: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in sin * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in sin * [misc]taylor: Taking taylor expansion of (- x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in sin * [misc]taylor: Taking taylor expansion of (- cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in sin * [misc]taylor: Taking taylor expansion of (- sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in cos * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in cos * [misc]taylor: Taking taylor expansion of (- x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in cos * [misc]taylor: Taking taylor expansion of (- cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in cos * [misc]taylor: Taking taylor expansion of (- sin) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in x * [misc]taylor: Taking taylor expansion of (- sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in x * [misc]taylor: Taking taylor expansion of (- sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]backup-simplify: Simplify (* -1 (/ -1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ -1 sin)) into (/ -1 (* cos sin)) * [misc]taylor: Taking taylor expansion of (/ -1 (* cos sin)) in cos * [misc]taylor: Taking taylor expansion of -1 in cos * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* cos sin) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 sin)) into sin * [misc]backup-simplify: Simplify (/ -1 sin) into (/ -1 sin) * [misc]taylor: Taking taylor expansion of (/ -1 sin) in sin * [misc]taylor: Taking taylor expansion of -1 in sin * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (* 0 (/ -1 sin))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 sin) (+ (* (/ -1 sin) (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))) (* 0 (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))) (* 0 (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (* 0 (/ -1 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 sin) (+ (* (/ -1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))) (* 0 (/ 0 (- sin))) (* 0 (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))) (* 0 (/ 0 (- cos))) (* 0 (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 cos))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 sin))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 sin) (+ (* (/ -1 sin) (/ 0 sin)) (* 0 (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 (* (/ 1 (/ 1 (- sin))) (* (/ 1 (/ 1 (- cos))) (/ 1 (/ 1 (- x)))))) into (* x (* sin cos)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (* (/ (/ 1 x) cos) (/ (cos (* 2 x)) sin)) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (/ 1 x) cos) (/ (cos (* 2 x)) sin)) in sin * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) cos) in sin * [misc]taylor: Taking taylor expansion of (/ 1 x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ (/ 1 x) cos) into (/ 1 (* x cos)) * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 x)) sin) in sin * [misc]taylor: Taking taylor expansion of (cos (* 2 x)) in sin * [misc]taylor: Taking taylor expansion of (* 2 x) in sin * [misc]taylor: Taking taylor expansion of 2 in sin * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 2 x) into (* 2 x) * [misc]backup-simplify: Simplify (cos (* 2 x)) into (cos (* 2 x)) * [misc]backup-simplify: Simplify (sin (* 2 x)) into (sin (* 2 x)) * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (cos (* 2 x)) 1) into (cos (* 2 x)) * [misc]backup-simplify: Simplify (* (sin (* 2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 2 x)) 0) into (cos (* 2 x)) * [misc]backup-simplify: Simplify (/ (cos (* 2 x)) 1) into (cos (* 2 x)) * [misc]taylor: Taking taylor expansion of (* (/ (/ 1 x) cos) (/ (cos (* 2 x)) sin)) in cos * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) cos) in cos * [misc]taylor: Taking taylor expansion of (/ 1 x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (/ 1 x) 1) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 x)) sin) in cos * [misc]taylor: Taking taylor expansion of (cos (* 2 x)) in cos * [misc]taylor: Taking taylor expansion of (* 2 x) in cos * [misc]taylor: Taking taylor expansion of 2 in cos * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 2 x) into (* 2 x) * [misc]backup-simplify: Simplify (cos (* 2 x)) into (cos (* 2 x)) * [misc]backup-simplify: Simplify (sin (* 2 x)) into (sin (* 2 x)) * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* (cos (* 2 x)) 1) into (cos (* 2 x)) * [misc]backup-simplify: Simplify (* (sin (* 2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 2 x)) 0) into (cos (* 2 x)) * [misc]backup-simplify: Simplify (/ (cos (* 2 x)) sin) into (/ (cos (* 2 x)) sin) * [misc]taylor: Taking taylor expansion of (* (/ (/ 1 x) cos) (/ (cos (* 2 x)) sin)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) cos) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 x)) sin) in x * [misc]taylor: Taking taylor expansion of (cos (* 2 x)) in x * [misc]taylor: Taking taylor expansion of (* 2 x) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]taylor: Taking taylor expansion of (* (/ (/ 1 x) cos) (/ (cos (* 2 x)) sin)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) cos) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 x)) sin) in x * [misc]taylor: Taking taylor expansion of (cos (* 2 x)) in x * [misc]taylor: Taking taylor expansion of (* 2 x) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ 1 sin)) into (/ 1 (* cos sin)) * [misc]taylor: Taking taylor expansion of (/ 1 (* cos sin)) in cos * [misc]taylor: Taking taylor expansion of (* cos sin) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 sin)) into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 sin) (+ (* (/ 1 sin) (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 cos) (+ (* (/ 1 cos) (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (* 0 (/ 1 sin))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 2 2) 2)) 0) into (- 2) * [misc]backup-simplify: Simplify (- (/ (- 2) sin) (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into (- (* 2 (/ 1 sin))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 cos) (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) (- (* 2 (/ 1 sin)))) (+ (* 0 0) (* 0 (/ 1 sin)))) into (- (* 2 (/ 1 (* cos sin)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (* cos sin)))) in cos * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* cos sin))) in cos * [misc]taylor: Taking taylor expansion of 2 in cos * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (* cos sin)) in cos * [misc]taylor: Taking taylor expansion of (* cos sin) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 sin)) into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (* 2 (/ 1 sin)) into (/ 2 sin) * [misc]backup-simplify: Simplify (- (/ 2 sin)) into (- (* 2 (/ 1 sin))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 sin))) in sin * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 sin)) in sin * [misc]taylor: Taking taylor expansion of 2 in sin * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 2 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 sin) (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)) (* (- (* 2 (/ 1 sin))) (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 cos) (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 (- (* 2 (/ 1 sin)))) (+ (* 0 0) (* 0 (/ 1 sin))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 sin))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -2 (* (/ 1 sin) (* (/ 1 cos) x))) (* 1 (* (/ 1 sin) (* (/ 1 cos) (/ 1 x))))) into (- (/ 1 (* x (* sin cos))) (* 2 (/ x (* sin cos)))) * [misc]approximate: Taking taylor expansion of (* (/ (/ 1 (/ 1 x)) (/ 1 cos)) (/ (cos (* 2 (/ 1 x))) (/ 1 sin))) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (/ 1 (/ 1 x)) (/ 1 cos)) (/ (cos (* 2 (/ 1 x))) (/ 1 sin))) in sin * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ 1 x)) (/ 1 cos)) in sin * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 x)) in sin * [misc]taylor: Taking taylor expansion of (/ 1 x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (/ 1 (/ 1 x)) into x * [misc]taylor: Taking taylor expansion of (/ 1 cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]backup-simplify: Simplify (/ x (/ 1 cos)) into (* x cos) * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 x))) (/ 1 sin)) in sin * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 x))) in sin * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in sin * [misc]taylor: Taking taylor expansion of 2 in sin * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 2 (/ 1 x)) into (/ 2 x) * [misc]backup-simplify: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (sin (/ 2 x)) into (sin (/ 2 x)) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (cos (/ 2 x)) 1) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (* (sin (/ 2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 2 x)) 0) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (/ (cos (/ 2 x)) 1) into (cos (/ 2 x)) * [misc]taylor: Taking taylor expansion of (* (/ (/ 1 (/ 1 x)) (/ 1 cos)) (/ (cos (* 2 (/ 1 x))) (/ 1 sin))) in cos * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ 1 x)) (/ 1 cos)) in cos * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 x)) in cos * [misc]taylor: Taking taylor expansion of (/ 1 x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (/ 1 (/ 1 x)) into x * [misc]taylor: Taking taylor expansion of (/ 1 cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ x 1) into x * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 x))) (/ 1 sin)) in cos * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 x))) in cos * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in cos * [misc]taylor: Taking taylor expansion of 2 in cos * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 2 (/ 1 x)) into (/ 2 x) * [misc]backup-simplify: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (sin (/ 2 x)) into (sin (/ 2 x)) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (* (cos (/ 2 x)) 1) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (* (sin (/ 2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 2 x)) 0) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (/ (cos (/ 2 x)) (/ 1 sin)) into (* sin (cos (/ 2 x))) * [misc]taylor: Taking taylor expansion of (* (/ (/ 1 (/ 1 x)) (/ 1 cos)) (/ (cos (* 2 (/ 1 x))) (/ 1 sin))) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ 1 x)) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]backup-simplify: Simplify (/ 1 (/ 1 cos)) into cos * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 x))) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (cos (* 2 (/ 1 x))) into (cos (/ 2 x)) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (/ (cos (/ 2 x)) (/ 1 sin)) into (* sin (cos (/ 2 x))) * [misc]taylor: Taking taylor expansion of (* (/ (/ 1 (/ 1 x)) (/ 1 cos)) (/ (cos (* 2 (/ 1 x))) (/ 1 sin))) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ 1 x)) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]backup-simplify: Simplify (/ 1 (/ 1 cos)) into cos * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 x))) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (cos (* 2 (/ 1 x))) into (cos (/ 2 x)) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (/ (cos (/ 2 x)) (/ 1 sin)) into (* sin (cos (/ 2 x))) * [misc]backup-simplify: Simplify (* cos (* sin (cos (/ 2 x)))) into (* cos (* sin (cos (/ 2 x)))) * [misc]taylor: Taking taylor expansion of (* cos (* sin (cos (/ 2 x)))) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* sin (cos (/ 2 x))) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]taylor: Taking taylor expansion of (cos (/ 2 x)) in cos * [misc]taylor: Taking taylor expansion of (/ 2 x) in cos * [misc]taylor: Taking taylor expansion of 2 in cos * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 2 x) into (/ 2 x) * [misc]backup-simplify: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (sin (/ 2 x)) into (sin (/ 2 x)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 2 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ 2 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 2 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (cos (/ 2 x)) 1) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (* (sin (/ 2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 2 x)) 0) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (+ (* sin 0) (* 0 (cos (/ 2 x)))) into 0 * [misc]backup-simplify: Simplify (* sin (cos (/ 2 x))) into (* sin (cos (/ 2 x))) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* sin (cos (/ 2 x))))) into (* sin (cos (/ 2 x))) * [misc]taylor: Taking taylor expansion of (* sin (cos (/ 2 x))) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 2 x)) in sin * [misc]taylor: Taking taylor expansion of (/ 2 x) in sin * [misc]taylor: Taking taylor expansion of 2 in sin * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 2 x) into (/ 2 x) * [misc]backup-simplify: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (sin (/ 2 x)) into (sin (/ 2 x)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 2 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ 2 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 2 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (cos (/ 2 x)) 1) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (* (sin (/ 2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 2 x)) 0) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (cos (/ 2 x)))) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 sin)) (+ (* (* sin (cos (/ 2 x))) (/ 0 (/ 1 sin))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 cos)) (+ (* cos (/ 0 (/ 1 cos))))) into 0 * [misc]backup-simplify: Simplify (+ (* cos 0) (* 0 (* sin (cos (/ 2 x))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 2 x)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ 2 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 2 x)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (+ (* 0 0) (* 0 (cos (/ 2 x))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* sin (cos (/ 2 x)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 2 x)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ 2 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 2 x)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 2 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 sin)) (+ (* (* sin (cos (/ 2 x))) (/ 0 (/ 1 sin))) (* 0 (/ 0 (/ 1 sin))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 cos)) (+ (* cos (/ 0 (/ 1 cos))) (* 0 (/ 0 (/ 1 cos))))) into 0 * [misc]backup-simplify: Simplify (+ (* cos 0) (+ (* 0 0) (* 0 (* sin (cos (/ 2 x)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 2 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ 2 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 2 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 2 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* sin (cos (/ 2 x))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (cos (/ 2 (/ 1 x))) (* (/ 1 sin) (* (/ 1 cos) (/ 1 x)))) into (/ (cos (* 2 x)) (* cos (* x sin))) * [misc]approximate: Taking taylor expansion of (* (/ (/ 1 (/ 1 (- x))) (/ 1 (- cos))) (/ (cos (* 2 (/ 1 (- x)))) (/ 1 (- sin)))) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (/ 1 (/ 1 (- x))) (/ 1 (- cos))) (/ (cos (* 2 (/ 1 (- x)))) (/ 1 (- sin)))) in sin * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ 1 (- x))) (/ 1 (- cos))) in sin * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- x))) in sin * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in sin * [misc]taylor: Taking taylor expansion of (- x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (/ 1 (/ -1 x)) into (* -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in sin * [misc]taylor: Taking taylor expansion of (- cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]backup-simplify: Simplify (/ (* -1 x) (/ -1 cos)) into (* x cos) * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 (- x)))) (/ 1 (- sin))) in sin * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 (- x)))) in sin * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- x))) in sin * [misc]taylor: Taking taylor expansion of 2 in sin * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in sin * [misc]taylor: Taking taylor expansion of (- x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* 2 (/ -1 x)) into (/ -2 x) * [misc]backup-simplify: Simplify (cos (/ -2 x)) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (sin (/ -2 x)) into (sin (/ -2 x)) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in sin * [misc]taylor: Taking taylor expansion of (- sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (cos (/ -2 x)) 1) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (* (sin (/ -2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -2 x)) 0) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (/ (cos (/ -2 x)) -1) into (* -1 (cos (/ -2 x))) * [misc]taylor: Taking taylor expansion of (* (/ (/ 1 (/ 1 (- x))) (/ 1 (- cos))) (/ (cos (* 2 (/ 1 (- x)))) (/ 1 (- sin)))) in cos * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ 1 (- x))) (/ 1 (- cos))) in cos * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- x))) in cos * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in cos * [misc]taylor: Taking taylor expansion of (- x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (/ 1 (/ -1 x)) into (* -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in cos * [misc]taylor: Taking taylor expansion of (- cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ (* -1 x) -1) into x * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 (- x)))) (/ 1 (- sin))) in cos * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 (- x)))) in cos * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- x))) in cos * [misc]taylor: Taking taylor expansion of 2 in cos * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in cos * [misc]taylor: Taking taylor expansion of (- x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* 2 (/ -1 x)) into (/ -2 x) * [misc]backup-simplify: Simplify (cos (/ -2 x)) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (sin (/ -2 x)) into (sin (/ -2 x)) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in cos * [misc]taylor: Taking taylor expansion of (- sin) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]backup-simplify: Simplify (* (cos (/ -2 x)) 1) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (* (sin (/ -2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -2 x)) 0) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (/ (cos (/ -2 x)) (/ -1 sin)) into (* -1 (* (cos (/ -2 x)) sin)) * [misc]taylor: Taking taylor expansion of (* (/ (/ 1 (/ 1 (- x))) (/ 1 (- cos))) (/ (cos (* 2 (/ 1 (- x)))) (/ 1 (- sin)))) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ 1 (- x))) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]backup-simplify: Simplify (/ -1 (/ -1 cos)) into cos * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 (- x)))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (cos (* 2 (/ 1 (- x)))) into (cos (/ -2 x)) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in x * [misc]taylor: Taking taylor expansion of (- sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]backup-simplify: Simplify (/ (cos (/ -2 x)) (/ -1 sin)) into (* -1 (* (cos (/ -2 x)) sin)) * [misc]taylor: Taking taylor expansion of (* (/ (/ 1 (/ 1 (- x))) (/ 1 (- cos))) (/ (cos (* 2 (/ 1 (- x)))) (/ 1 (- sin)))) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ 1 (- x))) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]backup-simplify: Simplify (/ -1 (/ -1 cos)) into cos * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 (- x)))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (cos (* 2 (/ 1 (- x)))) into (cos (/ -2 x)) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in x * [misc]taylor: Taking taylor expansion of (- sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]backup-simplify: Simplify (/ (cos (/ -2 x)) (/ -1 sin)) into (* -1 (* (cos (/ -2 x)) sin)) * [misc]backup-simplify: Simplify (* cos (* -1 (* (cos (/ -2 x)) sin))) into (* -1 (* (cos (/ -2 x)) (* cos sin))) * [misc]taylor: Taking taylor expansion of (* -1 (* (cos (/ -2 x)) (* cos sin))) in cos * [misc]taylor: Taking taylor expansion of -1 in cos * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (cos (/ -2 x)) (* cos sin)) in cos * [misc]taylor: Taking taylor expansion of (cos (/ -2 x)) in cos * [misc]taylor: Taking taylor expansion of (/ -2 x) in cos * [misc]taylor: Taking taylor expansion of -2 in cos * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ -2 x) into (/ -2 x) * [misc]backup-simplify: Simplify (cos (/ -2 x)) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (sin (/ -2 x)) into (sin (/ -2 x)) * [misc]taylor: Taking taylor expansion of (* cos sin) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* (cos (/ -2 x)) 1) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (* (sin (/ -2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -2 x)) 0) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 sin)) into sin * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ -2 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -2 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) sin) (* 0 0)) into (* (cos (/ -2 x)) sin) * [misc]backup-simplify: Simplify (* (cos (/ -2 x)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (* (cos (/ -2 x)) sin)) (* 0 0)) into (- (* (cos (/ -2 x)) sin)) * [misc]taylor: Taking taylor expansion of (- (* (cos (/ -2 x)) sin)) in sin * [misc]taylor: Taking taylor expansion of (* (cos (/ -2 x)) sin) in sin * [misc]taylor: Taking taylor expansion of (cos (/ -2 x)) in sin * [misc]taylor: Taking taylor expansion of (/ -2 x) in sin * [misc]taylor: Taking taylor expansion of -2 in sin * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ -2 x) into (/ -2 x) * [misc]backup-simplify: Simplify (cos (/ -2 x)) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (sin (/ -2 x)) into (sin (/ -2 x)) * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (cos (/ -2 x)) 1) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (* (sin (/ -2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -2 x)) 0) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ -2 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -2 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 1) (* 0 0)) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (- (cos (/ -2 x))) into (- (cos (/ -2 x))) * [misc]backup-simplify: Simplify (- (cos (/ -2 x))) into (- (cos (/ -2 x))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 sin)) (+ (* (* -1 (* (cos (/ -2 x)) sin)) (/ 0 (/ -1 sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 cos)) (+ (* cos (/ 0 (/ -1 cos))))) into 0 * [misc]backup-simplify: Simplify (+ (* cos 0) (* 0 (* -1 (* (cos (/ -2 x)) sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ -2 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -2 x)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 0) (+ (* 0 sin) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 (* (cos (/ -2 x)) sin)) (* 0 0))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ -2 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -2 x)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))) (* 0 (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 sin)) (+ (* (* -1 (* (cos (/ -2 x)) sin)) (/ 0 (/ -1 sin))) (* 0 (/ 0 (/ -1 sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))) (* 0 (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 cos)) (+ (* cos (/ 0 (/ -1 cos))) (* 0 (/ 0 (/ -1 cos))))) into 0 * [misc]backup-simplify: Simplify (+ (* cos 0) (+ (* 0 0) (* 0 (* -1 (* (cos (/ -2 x)) sin))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 sin)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ -2 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -2 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 0) (+ (* 0 0) (+ (* 0 sin) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (* (cos (/ -2 x)) sin)) (* 0 0)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (- (cos (/ -2 (/ 1 (- x))))) (* (/ 1 (- sin)) (* (/ 1 (- cos)) (/ 1 (- x))))) into (/ (cos (* 2 x)) (* cos (* x sin))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (/ (/ 1 x) cos) in (x cos) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) cos) in cos * [misc]taylor: Taking taylor expansion of (/ 1 x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (/ 1 x) 1) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) cos) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) cos) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 cos) (+ (* (/ 1 cos) (/ 0 cos)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 cos) (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 cos) (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* (/ 1 cos) (/ 1 x))) into (/ 1 (* x cos)) * [misc]approximate: Taking taylor expansion of (/ (/ 1 (/ 1 x)) (/ 1 cos)) in (x cos) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ 1 x)) (/ 1 cos)) in cos * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 x)) in cos * [misc]taylor: Taking taylor expansion of (/ 1 x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (/ 1 (/ 1 x)) into x * [misc]taylor: Taking taylor expansion of (/ 1 cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ x 1) into x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ 1 x)) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]backup-simplify: Simplify (/ 1 (/ 1 cos)) into cos * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ 1 x)) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]backup-simplify: Simplify (/ 1 (/ 1 cos)) into cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 cos)) (+ (* cos (/ 0 (/ 1 cos))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 cos)) (+ (* cos (/ 0 (/ 1 cos))) (* 0 (/ 0 (/ 1 cos))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 cos)) (+ (* cos (/ 0 (/ 1 cos))) (* 0 (/ 0 (/ 1 cos))) (* 0 (/ 0 (/ 1 cos))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* (/ 1 cos) (/ 1 x))) into (/ 1 (* x cos)) * [misc]approximate: Taking taylor expansion of (/ (/ 1 (/ 1 (- x))) (/ 1 (- cos))) in (x cos) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ 1 (- x))) (/ 1 (- cos))) in cos * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- x))) in cos * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in cos * [misc]taylor: Taking taylor expansion of (- x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (/ 1 (/ -1 x)) into (* -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in cos * [misc]taylor: Taking taylor expansion of (- cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ (* -1 x) -1) into x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ 1 (- x))) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]backup-simplify: Simplify (/ -1 (/ -1 cos)) into cos * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ 1 (- x))) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]backup-simplify: Simplify (/ -1 (/ -1 cos)) into cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 cos)) (+ (* cos (/ 0 (/ -1 cos))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))) (* 0 (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 cos)) (+ (* cos (/ 0 (/ -1 cos))) (* 0 (/ 0 (/ -1 cos))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))) (* 0 (/ 0 (- cos))) (* 0 (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 cos)) (+ (* cos (/ 0 (/ -1 cos))) (* 0 (/ 0 (/ -1 cos))) (* 0 (/ 0 (/ -1 cos))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* (/ 1 (- cos)) (/ 1 (- x)))) into (/ 1 (* x cos)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (* (/ (/ 1 x) cos) (/ (cos (* 2 x)) sin)) (* (* x cos) sin)) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (/ (/ 1 x) cos) (/ (cos (* 2 x)) sin)) (* (* x cos) sin)) in sin * [misc]taylor: Taking taylor expansion of (* (/ (/ 1 x) cos) (/ (cos (* 2 x)) sin)) in sin * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) cos) in sin * [misc]taylor: Taking taylor expansion of (/ 1 x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ (/ 1 x) cos) into (/ 1 (* x cos)) * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 x)) sin) in sin * [misc]taylor: Taking taylor expansion of (cos (* 2 x)) in sin * [misc]taylor: Taking taylor expansion of (* 2 x) in sin * [misc]taylor: Taking taylor expansion of 2 in sin * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 2 x) into (* 2 x) * [misc]backup-simplify: Simplify (cos (* 2 x)) into (cos (* 2 x)) * [misc]backup-simplify: Simplify (sin (* 2 x)) into (sin (* 2 x)) * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (cos (* 2 x)) 1) into (cos (* 2 x)) * [misc]backup-simplify: Simplify (* (sin (* 2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 2 x)) 0) into (cos (* 2 x)) * [misc]backup-simplify: Simplify (/ (cos (* 2 x)) 1) into (cos (* 2 x)) * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in sin * [misc]taylor: Taking taylor expansion of (* x cos) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (/ 1 (* x cos)) (cos (* 2 x))) into (/ (cos (* 2 x)) (* x cos)) * [misc]backup-simplify: Simplify (* x cos) into (* x cos) * [misc]backup-simplify: Simplify (* (* x cos) 0) into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (* 0 cos)) into 0 * [misc]backup-simplify: Simplify (+ (* (* x cos) 1) (* 0 0)) into (* x cos) * [misc]backup-simplify: Simplify (/ (/ (cos (* 2 x)) (* x cos)) (* x cos)) into (/ (cos (* 2 x)) (* (pow x 2) (pow cos 2))) * [misc]taylor: Taking taylor expansion of (/ (* (/ (/ 1 x) cos) (/ (cos (* 2 x)) sin)) (* (* x cos) sin)) in cos * [misc]taylor: Taking taylor expansion of (* (/ (/ 1 x) cos) (/ (cos (* 2 x)) sin)) in cos * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) cos) in cos * [misc]taylor: Taking taylor expansion of (/ 1 x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (/ 1 x) 1) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 x)) sin) in cos * [misc]taylor: Taking taylor expansion of (cos (* 2 x)) in cos * [misc]taylor: Taking taylor expansion of (* 2 x) in cos * [misc]taylor: Taking taylor expansion of 2 in cos * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 2 x) into (* 2 x) * [misc]backup-simplify: Simplify (cos (* 2 x)) into (cos (* 2 x)) * [misc]backup-simplify: Simplify (sin (* 2 x)) into (sin (* 2 x)) * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* (cos (* 2 x)) 1) into (cos (* 2 x)) * [misc]backup-simplify: Simplify (* (sin (* 2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 2 x)) 0) into (cos (* 2 x)) * [misc]backup-simplify: Simplify (/ (cos (* 2 x)) sin) into (/ (cos (* 2 x)) sin) * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in cos * [misc]taylor: Taking taylor expansion of (* x cos) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* (/ 1 x) (/ (cos (* 2 x)) sin)) into (/ (cos (* 2 x)) (* x sin)) * [misc]backup-simplify: Simplify (* x 0) into 0 * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* x 1) (* 0 0)) into x * [misc]backup-simplify: Simplify (+ (* 0 0) (* x sin)) into (* x sin) * [misc]backup-simplify: Simplify (/ (/ (cos (* 2 x)) (* x sin)) (* x sin)) into (/ (cos (* 2 x)) (* (pow x 2) (pow sin 2))) * [misc]taylor: Taking taylor expansion of (/ (* (/ (/ 1 x) cos) (/ (cos (* 2 x)) sin)) (* (* x cos) sin)) in x * [misc]taylor: Taking taylor expansion of (* (/ (/ 1 x) cos) (/ (cos (* 2 x)) sin)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) cos) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 x)) sin) in x * [misc]taylor: Taking taylor expansion of (cos (* 2 x)) in x * [misc]taylor: Taking taylor expansion of (* 2 x) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in x * [misc]taylor: Taking taylor expansion of (* x cos) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ 1 sin)) into (/ 1 (* cos sin)) * [misc]backup-simplify: Simplify (* 0 cos) into 0 * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 cos)) into cos * [misc]backup-simplify: Simplify (+ (* 0 0) (* cos sin)) into (* cos sin) * [misc]backup-simplify: Simplify (/ (/ 1 (* cos sin)) (* cos sin)) into (/ 1 (* (pow cos 2) (pow sin 2))) * [misc]taylor: Taking taylor expansion of (/ (* (/ (/ 1 x) cos) (/ (cos (* 2 x)) sin)) (* (* x cos) sin)) in x * [misc]taylor: Taking taylor expansion of (* (/ (/ 1 x) cos) (/ (cos (* 2 x)) sin)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) cos) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 x)) sin) in x * [misc]taylor: Taking taylor expansion of (cos (* 2 x)) in x * [misc]taylor: Taking taylor expansion of (* 2 x) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in x * [misc]taylor: Taking taylor expansion of (* x cos) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ 1 sin)) into (/ 1 (* cos sin)) * [misc]backup-simplify: Simplify (* 0 cos) into 0 * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 cos)) into cos * [misc]backup-simplify: Simplify (+ (* 0 0) (* cos sin)) into (* cos sin) * [misc]backup-simplify: Simplify (/ (/ 1 (* cos sin)) (* cos sin)) into (/ 1 (* (pow cos 2) (pow sin 2))) * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow cos 2) (pow sin 2))) in cos * [misc]taylor: Taking taylor expansion of (* (pow cos 2) (pow sin 2)) in cos * [misc]taylor: Taking taylor expansion of (pow cos 2) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow sin 2) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* sin sin) into (pow sin 2) * [misc]backup-simplify: Simplify (* 1 (pow sin 2)) into (pow sin 2) * [misc]backup-simplify: Simplify (/ 1 (pow sin 2)) into (/ 1 (pow sin 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow sin 2)) in sin * [misc]taylor: Taking taylor expansion of (pow sin 2) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 sin) (+ (* (/ 1 sin) (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 cos) (+ (* (/ 1 cos) (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (* 0 (/ 1 sin))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* cos sin)) (+ (* (/ 1 (* (pow cos 2) (pow sin 2))) (/ 0 (* cos sin))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (* 0 sin)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow sin 2))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow sin 2)) (/ 0 (pow sin 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 2 2) 2)) 0) into (- 2) * [misc]backup-simplify: Simplify (- (/ (- 2) sin) (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into (- (* 2 (/ 1 sin))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 cos) (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) (- (* 2 (/ 1 sin)))) (+ (* 0 0) (* 0 (/ 1 sin)))) into (- (* 2 (/ 1 (* cos sin)))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (+ (* 0 0) (* 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (* 2 (/ 1 (* cos sin)))) (* cos sin)) (+ (* (/ 1 (* (pow cos 2) (pow sin 2))) (/ 0 (* cos sin))) (* 0 (/ 0 (* cos sin))))) into (- (* 2 (/ 1 (* (pow cos 2) (pow sin 2))))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (* (pow cos 2) (pow sin 2))))) in cos * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* (pow cos 2) (pow sin 2)))) in cos * [misc]taylor: Taking taylor expansion of 2 in cos * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow cos 2) (pow sin 2))) in cos * [misc]taylor: Taking taylor expansion of (* (pow cos 2) (pow sin 2)) in cos * [misc]taylor: Taking taylor expansion of (pow cos 2) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow sin 2) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* sin sin) into (pow sin 2) * [misc]backup-simplify: Simplify (* 1 (pow sin 2)) into (pow sin 2) * [misc]backup-simplify: Simplify (/ 1 (pow sin 2)) into (/ 1 (pow sin 2)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (pow sin 2))) into (/ 2 (pow sin 2)) * [misc]backup-simplify: Simplify (- (/ 2 (pow sin 2))) into (- (* 2 (/ 1 (pow sin 2)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (pow sin 2)))) in sin * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow sin 2))) in sin * [misc]taylor: Taking taylor expansion of 2 in sin * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow sin 2)) in sin * [misc]taylor: Taking taylor expansion of (pow sin 2) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (+ (* sin 0) (+ (* 0 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow sin 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow sin 2)) (/ 0 (pow sin 2))) (* 0 (/ 0 (pow sin 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 2 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 sin) (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)) (* (- (* 2 (/ 1 sin))) (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 cos) (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 (- (* 2 (/ 1 sin)))) (+ (* 0 0) (* 0 (/ 1 sin))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* cos sin)) (+ (* (/ 1 (* (pow cos 2) (pow sin 2))) (/ 0 (* cos sin))) (* 0 (/ 0 (* cos sin))) (* (- (* 2 (/ 1 (* (pow cos 2) (pow sin 2))))) (/ 0 (* cos sin))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (* 0 sin)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow sin 2))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow sin 2)) (/ 0 (pow sin 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (pow sin 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow sin 2))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow sin 2)) (/ 0 (pow sin 2))) (* 0 (/ 0 (pow sin 2))) (* 0 (/ 0 (pow sin 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 2 4) 24)) 0 (* -1 (/ (pow 2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 2/3 * [misc]backup-simplify: Simplify (- (/ 2/3 sin) (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)) (* (- (* 2 (/ 1 sin))) (/ 0 sin)) (* 0 (/ 0 sin)))) into (* 2/3 (/ 1 sin)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 cos) (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)) (* 0 (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) (* 2/3 (/ 1 sin))) (+ (* 0 0) (+ (* 0 (- (* 2 (/ 1 sin)))) (+ (* 0 0) (* 0 (/ 1 sin)))))) into (* 2/3 (/ 1 (* cos sin))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin)))))) into 0 * [misc]backup-simplify: Simplify (- (/ (* 2/3 (/ 1 (* cos sin))) (* cos sin)) (+ (* (/ 1 (* (pow cos 2) (pow sin 2))) (/ 0 (* cos sin))) (* 0 (/ 0 (* cos sin))) (* (- (* 2 (/ 1 (* (pow cos 2) (pow sin 2))))) (/ 0 (* cos sin))) (* 0 (/ 0 (* cos sin))))) into (* 2/3 (/ 1 (* (pow cos 2) (pow sin 2)))) * [misc]taylor: Taking taylor expansion of (* 2/3 (/ 1 (* (pow cos 2) (pow sin 2)))) in cos * [misc]taylor: Taking taylor expansion of 2/3 in cos * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow cos 2) (pow sin 2))) in cos * [misc]taylor: Taking taylor expansion of (* (pow cos 2) (pow sin 2)) in cos * [misc]taylor: Taking taylor expansion of (pow cos 2) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow sin 2) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* sin sin) into (pow sin 2) * [misc]backup-simplify: Simplify (* 1 (pow sin 2)) into (pow sin 2) * [misc]backup-simplify: Simplify (/ 1 (pow sin 2)) into (/ 1 (pow sin 2)) * [misc]backup-simplify: Simplify (* 2/3 (/ 1 (pow sin 2))) into (/ 2/3 (pow sin 2)) * [misc]taylor: Taking taylor expansion of (/ 2/3 (pow sin 2)) in sin * [misc]taylor: Taking taylor expansion of 2/3 in sin * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]taylor: Taking taylor expansion of (pow sin 2) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 2/3 1) into 2/3 * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]backup-simplify: Simplify (+ (* 2/3 (pow (* (/ 1 sin) (* (/ 1 cos) x)) 2)) (+ (* -2 (pow (* (/ 1 sin) (* (/ 1 cos) 1)) 2)) (* 1 (pow (* (/ 1 sin) (* (/ 1 cos) (/ 1 x))) 2)))) into (- (+ (/ 1 (* (pow x 2) (* (pow sin 2) (pow cos 2)))) (* 2/3 (/ (pow x 2) (* (pow sin 2) (pow cos 2))))) (* 2 (/ 1 (* (pow sin 2) (pow cos 2))))) * [misc]approximate: Taking taylor expansion of (/ (* (/ (/ 1 (/ 1 x)) (/ 1 cos)) (/ (cos (* 2 (/ 1 x))) (/ 1 sin))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (/ (/ 1 (/ 1 x)) (/ 1 cos)) (/ (cos (* 2 (/ 1 x))) (/ 1 sin))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) in sin * [misc]taylor: Taking taylor expansion of (* (/ (/ 1 (/ 1 x)) (/ 1 cos)) (/ (cos (* 2 (/ 1 x))) (/ 1 sin))) in sin * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ 1 x)) (/ 1 cos)) in sin * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 x)) in sin * [misc]taylor: Taking taylor expansion of (/ 1 x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (/ 1 (/ 1 x)) into x * [misc]taylor: Taking taylor expansion of (/ 1 cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]backup-simplify: Simplify (/ x (/ 1 cos)) into (* x cos) * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 x))) (/ 1 sin)) in sin * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 x))) in sin * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in sin * [misc]taylor: Taking taylor expansion of 2 in sin * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 2 (/ 1 x)) into (/ 2 x) * [misc]backup-simplify: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (sin (/ 2 x)) into (sin (/ 2 x)) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (cos (/ 2 x)) 1) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (* (sin (/ 2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 2 x)) 0) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (/ (cos (/ 2 x)) 1) into (cos (/ 2 x)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in sin * [misc]taylor: Taking taylor expansion of (/ 1 x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* x cos) (cos (/ 2 x))) into (* x (* cos (cos (/ 2 x)))) * [misc]backup-simplify: Simplify (* (/ 1 x) (/ 1 cos)) into (/ 1 (* x cos)) * [misc]backup-simplify: Simplify (* (/ 1 (* x cos)) 1) into (/ 1 (* x cos)) * [misc]backup-simplify: Simplify (/ (* x (* cos (cos (/ 2 x)))) (/ 1 (* x cos))) into (* (pow x 2) (* (pow cos 2) (cos (/ 2 x)))) * [misc]taylor: Taking taylor expansion of (/ (* (/ (/ 1 (/ 1 x)) (/ 1 cos)) (/ (cos (* 2 (/ 1 x))) (/ 1 sin))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) in cos * [misc]taylor: Taking taylor expansion of (* (/ (/ 1 (/ 1 x)) (/ 1 cos)) (/ (cos (* 2 (/ 1 x))) (/ 1 sin))) in cos * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ 1 x)) (/ 1 cos)) in cos * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 x)) in cos * [misc]taylor: Taking taylor expansion of (/ 1 x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (/ 1 (/ 1 x)) into x * [misc]taylor: Taking taylor expansion of (/ 1 cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ x 1) into x * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 x))) (/ 1 sin)) in cos * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 x))) in cos * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in cos * [misc]taylor: Taking taylor expansion of 2 in cos * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 2 (/ 1 x)) into (/ 2 x) * [misc]backup-simplify: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (sin (/ 2 x)) into (sin (/ 2 x)) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (* (cos (/ 2 x)) 1) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (* (sin (/ 2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 2 x)) 0) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (/ (cos (/ 2 x)) (/ 1 sin)) into (* sin (cos (/ 2 x))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in cos * [misc]taylor: Taking taylor expansion of (/ 1 x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 sin) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (* x (* sin (cos (/ 2 x)))) into (* x (* sin (cos (/ 2 x)))) * [misc]backup-simplify: Simplify (* (/ 1 x) 1) into (/ 1 x) * [misc]backup-simplify: Simplify (* (/ 1 x) (/ 1 sin)) into (/ 1 (* x sin)) * [misc]backup-simplify: Simplify (/ (* x (* sin (cos (/ 2 x)))) (/ 1 (* x sin))) into (* (pow x 2) (* (pow sin 2) (cos (/ 2 x)))) * [misc]taylor: Taking taylor expansion of (/ (* (/ (/ 1 (/ 1 x)) (/ 1 cos)) (/ (cos (* 2 (/ 1 x))) (/ 1 sin))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) in x * [misc]taylor: Taking taylor expansion of (* (/ (/ 1 (/ 1 x)) (/ 1 cos)) (/ (cos (* 2 (/ 1 x))) (/ 1 sin))) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ 1 x)) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]backup-simplify: Simplify (/ 1 (/ 1 cos)) into cos * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 x))) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (cos (* 2 (/ 1 x))) into (cos (/ 2 x)) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (/ (cos (/ 2 x)) (/ 1 sin)) into (* sin (cos (/ 2 x))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (* cos (* sin (cos (/ 2 x)))) into (* cos (* sin (cos (/ 2 x)))) * [misc]backup-simplify: Simplify (* 1 (/ 1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ 1 sin)) into (/ 1 (* cos sin)) * [misc]backup-simplify: Simplify (/ (* cos (* sin (cos (/ 2 x)))) (/ 1 (* cos sin))) into (* (pow cos 2) (* (pow sin 2) (cos (/ 2 x)))) * [misc]taylor: Taking taylor expansion of (/ (* (/ (/ 1 (/ 1 x)) (/ 1 cos)) (/ (cos (* 2 (/ 1 x))) (/ 1 sin))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) in x * [misc]taylor: Taking taylor expansion of (* (/ (/ 1 (/ 1 x)) (/ 1 cos)) (/ (cos (* 2 (/ 1 x))) (/ 1 sin))) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ 1 x)) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]backup-simplify: Simplify (/ 1 (/ 1 cos)) into cos * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 x))) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (cos (* 2 (/ 1 x))) into (cos (/ 2 x)) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (/ (cos (/ 2 x)) (/ 1 sin)) into (* sin (cos (/ 2 x))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (* cos (* sin (cos (/ 2 x)))) into (* cos (* sin (cos (/ 2 x)))) * [misc]backup-simplify: Simplify (* 1 (/ 1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ 1 sin)) into (/ 1 (* cos sin)) * [misc]backup-simplify: Simplify (/ (* cos (* sin (cos (/ 2 x)))) (/ 1 (* cos sin))) into (* (pow cos 2) (* (pow sin 2) (cos (/ 2 x)))) * [misc]taylor: Taking taylor expansion of (* (pow cos 2) (* (pow sin 2) (cos (/ 2 x)))) in cos * [misc]taylor: Taking taylor expansion of (pow cos 2) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow sin 2) (cos (/ 2 x))) in cos * [misc]taylor: Taking taylor expansion of (pow sin 2) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]taylor: Taking taylor expansion of (cos (/ 2 x)) in cos * [misc]taylor: Taking taylor expansion of (/ 2 x) in cos * [misc]taylor: Taking taylor expansion of 2 in cos * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 2 x) into (/ 2 x) * [misc]backup-simplify: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (sin (/ 2 x)) into (sin (/ 2 x)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* sin sin) into (pow sin 2) * [misc]backup-simplify: Simplify (* (cos (/ 2 x)) 1) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (* (sin (/ 2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 2 x)) 0) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (* (pow sin 2) (cos (/ 2 x))) into (* (pow sin 2) (cos (/ 2 x))) * [misc]backup-simplify: Simplify (* 1 (* (pow sin 2) (cos (/ 2 x)))) into (* (pow sin 2) (cos (/ 2 x))) * [misc]taylor: Taking taylor expansion of (* (pow sin 2) (cos (/ 2 x))) in sin * [misc]taylor: Taking taylor expansion of (pow sin 2) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 2 x)) in sin * [misc]taylor: Taking taylor expansion of (/ 2 x) in sin * [misc]taylor: Taking taylor expansion of 2 in sin * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 2 x) into (/ 2 x) * [misc]backup-simplify: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (sin (/ 2 x)) into (sin (/ 2 x)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (cos (/ 2 x)) 1) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (* (sin (/ 2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 2 x)) 0) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (* 1 (cos (/ 2 x))) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 sin)) (+ (* (* sin (cos (/ 2 x))) (/ 0 (/ 1 sin))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 cos)) (+ (* cos (/ 0 (/ 1 cos))))) into 0 * [misc]backup-simplify: Simplify (+ (* cos 0) (* 0 (* sin (cos (/ 2 x))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (* 0 (/ 1 sin))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (* cos sin))) (+ (* (* (pow cos 2) (* (pow sin 2) (cos (/ 2 x)))) (/ 0 (/ 1 (* cos sin)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]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 (/ 2 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ 2 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 2 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (* 0 sin)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow sin 2) 0) (* 0 (cos (/ 2 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (* (pow sin 2) (cos (/ 2 x))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]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 (/ 2 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ 2 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 2 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (cos (/ 2 x)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 sin)) (+ (* (* sin (cos (/ 2 x))) (/ 0 (/ 1 sin))) (* 0 (/ 0 (/ 1 sin))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 cos)) (+ (* cos (/ 0 (/ 1 cos))) (* 0 (/ 0 (/ 1 cos))))) into 0 * [misc]backup-simplify: Simplify (+ (* cos 0) (+ (* 0 0) (* 0 (* sin (cos (/ 2 x)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (* 0 (/ 1 sin)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (* cos sin))) (+ (* (* (pow cos 2) (* (pow sin 2) (cos (/ 2 x)))) (/ 0 (/ 1 (* cos sin)))) (* 0 (/ 0 (/ 1 (* cos sin)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 2 x)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ 2 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 2 x)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (+ (* 0 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow sin 2) 0) (+ (* 0 0) (* 0 (cos (/ 2 x))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (* (pow sin 2) (cos (/ 2 x)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (cos (/ 2 (/ 1 x))) (pow (* (/ 1 sin) (* (/ 1 cos) (/ 1 x))) 2)) into (/ (cos (* 2 x)) (* (pow cos 2) (* (pow x 2) (pow sin 2)))) * [misc]approximate: Taking taylor expansion of (/ (* (/ (/ 1 (/ 1 (- x))) (/ 1 (- cos))) (/ (cos (* 2 (/ 1 (- x)))) (/ 1 (- sin)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (/ (/ 1 (/ 1 (- x))) (/ 1 (- cos))) (/ (cos (* 2 (/ 1 (- x)))) (/ 1 (- sin)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) in sin * [misc]taylor: Taking taylor expansion of (* (/ (/ 1 (/ 1 (- x))) (/ 1 (- cos))) (/ (cos (* 2 (/ 1 (- x)))) (/ 1 (- sin)))) in sin * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ 1 (- x))) (/ 1 (- cos))) in sin * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- x))) in sin * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in sin * [misc]taylor: Taking taylor expansion of (- x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (/ 1 (/ -1 x)) into (* -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in sin * [misc]taylor: Taking taylor expansion of (- cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]backup-simplify: Simplify (/ (* -1 x) (/ -1 cos)) into (* x cos) * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 (- x)))) (/ 1 (- sin))) in sin * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 (- x)))) in sin * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- x))) in sin * [misc]taylor: Taking taylor expansion of 2 in sin * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in sin * [misc]taylor: Taking taylor expansion of (- x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* 2 (/ -1 x)) into (/ -2 x) * [misc]backup-simplify: Simplify (cos (/ -2 x)) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (sin (/ -2 x)) into (sin (/ -2 x)) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in sin * [misc]taylor: Taking taylor expansion of (- sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (cos (/ -2 x)) 1) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (* (sin (/ -2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -2 x)) 0) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (/ (cos (/ -2 x)) -1) into (* -1 (cos (/ -2 x))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in sin * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in sin * [misc]taylor: Taking taylor expansion of (- x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in sin * [misc]taylor: Taking taylor expansion of (- cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in sin * [misc]taylor: Taking taylor expansion of (- sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* x cos) (* -1 (cos (/ -2 x)))) into (* -1 (* (cos (/ -2 x)) (* x cos))) * [misc]backup-simplify: Simplify (* (/ -1 x) (/ -1 cos)) into (/ 1 (* x cos)) * [misc]backup-simplify: Simplify (* (/ 1 (* x cos)) -1) into (/ -1 (* x cos)) * [misc]backup-simplify: Simplify (/ (* -1 (* (cos (/ -2 x)) (* x cos))) (/ -1 (* x cos))) into (* (cos (/ -2 x)) (* (pow x 2) (pow cos 2))) * [misc]taylor: Taking taylor expansion of (/ (* (/ (/ 1 (/ 1 (- x))) (/ 1 (- cos))) (/ (cos (* 2 (/ 1 (- x)))) (/ 1 (- sin)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) in cos * [misc]taylor: Taking taylor expansion of (* (/ (/ 1 (/ 1 (- x))) (/ 1 (- cos))) (/ (cos (* 2 (/ 1 (- x)))) (/ 1 (- sin)))) in cos * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ 1 (- x))) (/ 1 (- cos))) in cos * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- x))) in cos * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in cos * [misc]taylor: Taking taylor expansion of (- x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (/ 1 (/ -1 x)) into (* -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in cos * [misc]taylor: Taking taylor expansion of (- cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ (* -1 x) -1) into x * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 (- x)))) (/ 1 (- sin))) in cos * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 (- x)))) in cos * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- x))) in cos * [misc]taylor: Taking taylor expansion of 2 in cos * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in cos * [misc]taylor: Taking taylor expansion of (- x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* 2 (/ -1 x)) into (/ -2 x) * [misc]backup-simplify: Simplify (cos (/ -2 x)) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (sin (/ -2 x)) into (sin (/ -2 x)) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in cos * [misc]taylor: Taking taylor expansion of (- sin) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]backup-simplify: Simplify (* (cos (/ -2 x)) 1) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (* (sin (/ -2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -2 x)) 0) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (/ (cos (/ -2 x)) (/ -1 sin)) into (* -1 (* (cos (/ -2 x)) sin)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in cos * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in cos * [misc]taylor: Taking taylor expansion of (- x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in cos * [misc]taylor: Taking taylor expansion of (- cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in cos * [misc]taylor: Taking taylor expansion of (- sin) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]backup-simplify: Simplify (* x (* -1 (* (cos (/ -2 x)) sin))) into (* -1 (* (cos (/ -2 x)) (* x sin))) * [misc]backup-simplify: Simplify (* (/ -1 x) -1) into (/ 1 x) * [misc]backup-simplify: Simplify (* (/ 1 x) (/ -1 sin)) into (/ -1 (* x sin)) * [misc]backup-simplify: Simplify (/ (* -1 (* (cos (/ -2 x)) (* x sin))) (/ -1 (* x sin))) into (* (cos (/ -2 x)) (* (pow x 2) (pow sin 2))) * [misc]taylor: Taking taylor expansion of (/ (* (/ (/ 1 (/ 1 (- x))) (/ 1 (- cos))) (/ (cos (* 2 (/ 1 (- x)))) (/ 1 (- sin)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) in x * [misc]taylor: Taking taylor expansion of (* (/ (/ 1 (/ 1 (- x))) (/ 1 (- cos))) (/ (cos (* 2 (/ 1 (- x)))) (/ 1 (- sin)))) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ 1 (- x))) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]backup-simplify: Simplify (/ -1 (/ -1 cos)) into cos * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 (- x)))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (cos (* 2 (/ 1 (- x)))) into (cos (/ -2 x)) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in x * [misc]taylor: Taking taylor expansion of (- sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]backup-simplify: Simplify (/ (cos (/ -2 x)) (/ -1 sin)) into (* -1 (* (cos (/ -2 x)) sin)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in x * [misc]taylor: Taking taylor expansion of (- sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]backup-simplify: Simplify (* cos (* -1 (* (cos (/ -2 x)) sin))) into (* -1 (* (cos (/ -2 x)) (* cos sin))) * [misc]backup-simplify: Simplify (* -1 (/ -1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ -1 sin)) into (/ -1 (* cos sin)) * [misc]backup-simplify: Simplify (/ (* -1 (* (cos (/ -2 x)) (* cos sin))) (/ -1 (* cos sin))) into (* (cos (/ -2 x)) (* (pow cos 2) (pow sin 2))) * [misc]taylor: Taking taylor expansion of (/ (* (/ (/ 1 (/ 1 (- x))) (/ 1 (- cos))) (/ (cos (* 2 (/ 1 (- x)))) (/ 1 (- sin)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) in x * [misc]taylor: Taking taylor expansion of (* (/ (/ 1 (/ 1 (- x))) (/ 1 (- cos))) (/ (cos (* 2 (/ 1 (- x)))) (/ 1 (- sin)))) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ 1 (- x))) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]backup-simplify: Simplify (/ -1 (/ -1 cos)) into cos * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 (- x)))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (cos (* 2 (/ 1 (- x)))) into (cos (/ -2 x)) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in x * [misc]taylor: Taking taylor expansion of (- sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]backup-simplify: Simplify (/ (cos (/ -2 x)) (/ -1 sin)) into (* -1 (* (cos (/ -2 x)) sin)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in x * [misc]taylor: Taking taylor expansion of (- sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]backup-simplify: Simplify (* cos (* -1 (* (cos (/ -2 x)) sin))) into (* -1 (* (cos (/ -2 x)) (* cos sin))) * [misc]backup-simplify: Simplify (* -1 (/ -1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ -1 sin)) into (/ -1 (* cos sin)) * [misc]backup-simplify: Simplify (/ (* -1 (* (cos (/ -2 x)) (* cos sin))) (/ -1 (* cos sin))) into (* (cos (/ -2 x)) (* (pow cos 2) (pow sin 2))) * [misc]taylor: Taking taylor expansion of (* (cos (/ -2 x)) (* (pow cos 2) (pow sin 2))) in cos * [misc]taylor: Taking taylor expansion of (cos (/ -2 x)) in cos * [misc]taylor: Taking taylor expansion of (/ -2 x) in cos * [misc]taylor: Taking taylor expansion of -2 in cos * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ -2 x) into (/ -2 x) * [misc]backup-simplify: Simplify (cos (/ -2 x)) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (sin (/ -2 x)) into (sin (/ -2 x)) * [misc]taylor: Taking taylor expansion of (* (pow cos 2) (pow sin 2)) in cos * [misc]taylor: Taking taylor expansion of (pow cos 2) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow sin 2) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* (cos (/ -2 x)) 1) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (* (sin (/ -2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -2 x)) 0) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* sin sin) into (pow sin 2) * [misc]backup-simplify: Simplify (* 1 (pow sin 2)) into (pow sin 2) * [misc]backup-simplify: Simplify (* (cos (/ -2 x)) (pow sin 2)) into (* (cos (/ -2 x)) (pow sin 2)) * [misc]taylor: Taking taylor expansion of (* (cos (/ -2 x)) (pow sin 2)) in sin * [misc]taylor: Taking taylor expansion of (cos (/ -2 x)) in sin * [misc]taylor: Taking taylor expansion of (/ -2 x) in sin * [misc]taylor: Taking taylor expansion of -2 in sin * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ -2 x) into (/ -2 x) * [misc]backup-simplify: Simplify (cos (/ -2 x)) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (sin (/ -2 x)) into (sin (/ -2 x)) * [misc]taylor: Taking taylor expansion of (pow sin 2) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (cos (/ -2 x)) 1) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (* (sin (/ -2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -2 x)) 0) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (cos (/ -2 x)) 1) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (cos (/ -2 x)) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 sin)) (+ (* (* -1 (* (cos (/ -2 x)) sin)) (/ 0 (/ -1 sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 cos)) (+ (* cos (/ 0 (/ -1 cos))))) into 0 * [misc]backup-simplify: Simplify (+ (* cos 0) (* 0 (* -1 (* (cos (/ -2 x)) sin)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (* 0 (/ -1 sin))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 (* cos sin))) (+ (* (* (cos (/ -2 x)) (* (pow cos 2) (pow sin 2))) (/ 0 (/ -1 (* cos sin)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (* 0 sin)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow sin 2))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ -2 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -2 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 0) (* 0 (pow sin 2))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ -2 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -2 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))) (* 0 (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 sin)) (+ (* (* -1 (* (cos (/ -2 x)) sin)) (/ 0 (/ -1 sin))) (* 0 (/ 0 (/ -1 sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))) (* 0 (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 cos)) (+ (* cos (/ 0 (/ -1 cos))) (* 0 (/ 0 (/ -1 cos))))) into 0 * [misc]backup-simplify: Simplify (+ (* cos 0) (+ (* 0 0) (* 0 (* -1 (* (cos (/ -2 x)) sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))) (* 0 (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))) (* 0 (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (* 0 (/ -1 sin)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 (* cos sin))) (+ (* (* (cos (/ -2 x)) (* (pow cos 2) (pow sin 2))) (/ 0 (/ -1 (* cos sin)))) (* 0 (/ 0 (/ -1 (* cos sin)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (+ (* 0 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow sin 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ -2 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -2 x)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 0) (+ (* 0 0) (* 0 (pow sin 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (cos (/ -2 (/ 1 (- x)))) (pow (* (/ 1 (- sin)) (* (/ 1 (- cos)) (/ 1 (- x)))) 2)) into (/ (cos (* 2 x)) (* (pow cos 2) (* (pow x 2) (pow sin 2)))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ 1 x) cos) (/ (cos (* 2 x)) sin)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (278 enodes) * [exit]simplify: Simplified to (/ (cos (* 2 x)) (* x (* sin cos))) * [misc]simplify: Simplified (2 1 1) to (λ (x cos sin) (/ (pow (/ (cos (* 2 x)) (* x (* sin cos))) 1) (* (* x cos) sin))) * * * * [misc]progress: [ 11 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ (/ 1 x) cos)) (log (/ (cos (* 2 x)) sin))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (192 enodes) * [exit]simplify: Simplified to (- (log (cos (* 2 x))) (+ (log sin) (log (* cos x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x cos sin) (/ (exp (- (log (cos (* 2 x))) (+ (log sin) (log (* cos x))))) (* (* x cos) sin))) * * * * [misc]progress: [ 13 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (/ 1 x) cos) (/ (/ 1 x) cos)) (/ (/ 1 x) cos)) (* (* (/ (cos (* 2 x)) sin) (/ (cos (* 2 x)) sin)) (/ (cos (* 2 x)) sin))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (136 enodes) * [exit]simplify: Simplified to (* (* (/ (cos (* x 2)) sin) (/ (cos (* x 2)) sin)) (* (/ (cos (* x 2)) sin) (/ 1 (pow (* cos x) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (x cos sin) (/ (cbrt (* (* (/ (cos (* x 2)) sin) (/ (cos (* x 2)) sin)) (* (/ (cos (* x 2)) sin) (/ 1 (pow (* cos x) 3))))) (* (* x cos) sin))) * * * * [misc]progress: [ 16 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 x) (cos (* 2 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (/ (cos (* 2 x)) x) * [misc]simplify: Simplified (2 1 1) to (λ (x cos sin) (/ (/ (/ (cos (* 2 x)) x) (* cos sin)) (* (* x cos) sin))) * [enter]simplify: Simplifying (* cos sin) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* cos sin) * [misc]simplify: Simplified (2 1 2) to (λ (x cos sin) (/ (/ (/ (cos (* 2 x)) x) (* cos sin)) (* (* x cos) sin))) * * * * [misc]progress: [ 20 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (cos (* 2 x)) sin)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (cbrt (/ (cos (* 2 x)) sin)) * [misc]simplify: Simplified (2 1 2) to (λ (x cos sin) (/ (* (* (/ (/ 1 x) cos) (* (cbrt (/ (cos (* 2 x)) sin)) (cbrt (/ (cos (* 2 x)) sin)))) (cbrt (/ (cos (* 2 x)) sin))) (* (* x cos) sin))) * * * * [misc]progress: [ 22 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (cos (* 2 x)) sin)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (/ (cos (* 2 x)) sin)) * [misc]simplify: Simplified (2 1 2) to (λ (x cos sin) (/ (* (* (/ (/ 1 x) cos) (sqrt (/ (cos (* 2 x)) sin))) (sqrt (/ (cos (* 2 x)) sin))) (* (* x cos) sin))) * * * * [misc]progress: [ 23 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos (* 2 x)) sin) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (cos (* 2 x)) sin) * [misc]simplify: Simplified (2 1 2) to (λ (x cos sin) (/ (* (* (/ (/ 1 x) cos) 1) (/ (cos (* 2 x)) sin)) (* (* x cos) sin))) * * * * [misc]progress: [ 24 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 sin) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 sin) * [misc]simplify: Simplified (2 1 2) to (λ (x cos sin) (/ (* (* (/ (/ 1 x) cos) (cos (* 2 x))) (/ 1 sin)) (* (* x cos) sin))) * * * * [misc]progress: [ 25 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (/ 1 x) cos)) (cbrt (/ (/ 1 x) cos))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ 1 x) cos)) (cbrt (/ (/ 1 x) cos))) * [misc]simplify: Simplified (2 1 1) to (λ (x cos sin) (/ (* (* (cbrt (/ (/ 1 x) cos)) (cbrt (/ (/ 1 x) cos))) (* (cbrt (/ (/ 1 x) cos)) (/ (cos (* 2 x)) sin))) (* (* x cos) sin))) * * * * [misc]progress: [ 26 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 1 x) cos)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 1 cos) x)) * [misc]simplify: Simplified (2 1 1) to (λ (x cos sin) (/ (* (sqrt (/ (/ 1 cos) x)) (* (sqrt (/ (/ 1 x) cos)) (/ (cos (* 2 x)) sin))) (* (* x cos) sin))) * * * * [misc]progress: [ 27 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 78 ] 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) * [misc]simplify: Simplified (2 1 1) to (λ (x cos sin) (/ (* (/ 1 x) (* (/ 1 cos) (/ (cos (* 2 x)) sin))) (* (* x cos) sin))) * * * * [misc]progress: [ 29 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 x) (/ (cos (* 2 x)) sin)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (/ (cos (* 2 x)) (* sin x)) * [misc]simplify: Simplified (2 1 1) to (λ (x cos sin) (/ (/ (/ (cos (* 2 x)) (* sin x)) cos) (* (* x cos) sin))) * * * * [misc]progress: [ 31 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x cos sin) (/ (* (/ (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) (/ cos (cbrt (/ 1 x)))) (/ (cos (* 2 x)) sin)) (* (* x cos) sin))) * * * * [misc]progress: [ 43 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 x)) * [misc]simplify: Simplified (2 1 1 1) to (λ (x cos sin) (/ (* (/ (sqrt (/ 1 x)) (/ cos (sqrt (/ 1 x)))) (/ (cos (* 2 x)) sin)) (* (* x cos) sin))) * * * * [misc]progress: [ 44 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (log (/ (/ 1 x) cos)) (log (/ (cos (* 2 x)) sin))) (log (* (* x cos) sin))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (232 enodes) * [exit]simplify: Simplified to (- (- (log (cos (* 2 x))) (log (* sin (* cos x)))) (log (* sin (* cos x)))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (exp (- (- (log (cos (* 2 x))) (log (* sin (* cos x)))) (log (* sin (* cos x)))))) * * * * [misc]progress: [ 49 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (* (/ (/ 1 x) cos) (/ (cos (* 2 x)) sin))) (log (* (* x cos) sin))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (255 enodes) * [exit]simplify: Simplified to (- (log (/ (cos (* 2 x)) (* (* cos x) sin))) (log (* (* cos x) sin))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (exp (- (log (/ (cos (* 2 x)) (* (* cos x) sin))) (log (* (* cos x) sin))))) * * * * [misc]progress: [ 50 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (* (/ (/ 1 x) cos) (/ (/ 1 x) cos)) (/ (/ 1 x) cos)) (* (* (/ (cos (* 2 x)) sin) (/ (cos (* 2 x)) sin)) (/ (cos (* 2 x)) sin))) (* (* (* (* x cos) sin) (* (* x cos) sin)) (* (* x cos) sin))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (341 enodes) * [exit]simplify: Simplified to (* (/ (/ (/ (/ 1 x) (* cos x)) (* (* cos x) cos)) (pow (* cos (* sin x)) 3)) (pow (/ (cos (* x 2)) sin) 3)) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (cbrt (* (/ (/ (/ (/ 1 x) (* cos x)) (* (* cos x) cos)) (pow (* cos (* sin x)) 3)) (pow (/ (cos (* x 2)) sin) 3)))) * * * * [misc]progress: [ 53 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (* (/ (/ 1 x) cos) (/ (cos (* 2 x)) sin)) (* (/ (/ 1 x) cos) (/ (cos (* 2 x)) sin))) (* (/ (/ 1 x) cos) (/ (cos (* 2 x)) sin))) (* (* (* (* x cos) sin) (* (* x cos) sin)) (* (* x cos) sin))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (298 enodes) * [exit]simplify: Simplified to (pow (/ (/ (cos (* 2 x)) (* (* sin x) cos)) (* (* sin x) cos)) 3) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (cbrt (pow (/ (/ (cos (* 2 x)) (* (* sin x) cos)) (* (* sin x) cos)) 3))) * * * * [misc]progress: [ 54 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 x) cos) (* x cos)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (/ 1 (* (* cos x) (* cos x))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (* (/ 1 (* (* cos x) (* cos x))) (/ (/ (cos (* 2 x)) sin) sin))) * [enter]simplify: Simplifying (/ (/ (cos (* 2 x)) sin) sin) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (cos (* 2 x)) (* sin sin)) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (* (/ (/ (/ 1 x) cos) (* x cos)) (/ (cos (* 2 x)) (* sin sin)))) * * * * [misc]progress: [ 59 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 x) cos) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (/ (/ 1 x) cos) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (/ (/ (/ 1 x) cos) (/ (* (* x cos) sin) (/ (cos (* 2 x)) sin)))) * * * * [misc]progress: [ 64 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 x) (cos (* 2 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (/ (cos (* 2 x)) x) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (/ (/ (cos (* 2 x)) x) (* (* (* x cos) sin) (* cos sin)))) * * * * [misc]progress: [ 65 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ 1 x) cos) (cos (* 2 x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (147 enodes) * [exit]simplify: Simplified to (/ (cos (* 2 x)) (* cos x)) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (/ (/ (cos (* 2 x)) (* cos x)) (* (* (* x cos) sin) sin))) * * * * [misc]progress: [ 66 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 x) (/ (cos (* 2 x)) sin)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (/ (cos (* 2 x)) (* sin x)) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (/ (/ (cos (* 2 x)) (* sin x)) (* (* (* x cos) sin) cos))) * * * * [misc]progress: [ 67 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (/ (* (/ (/ 1 x) cos) (/ (cos (* 2 x)) sin)) 0)) * * * * [misc]progress: [ 68 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (* x (* sin cos)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (* cos sin) x) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (/ (* (/ (/ 1 x) cos) (/ (cos (* 2 x)) sin)) (* (* cos sin) x))) * * * * [misc]progress: [ 69 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (* x (* sin cos)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (* cos sin) x) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (/ (* (/ (/ 1 x) cos) (/ (cos (* 2 x)) sin)) (* (* cos sin) x))) * * * * [misc]progress: [ 70 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 (* x (* sin cos))) (* 2 (/ x (* sin cos)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (174 enodes) * * [misc]simplify: iters left: 1 (210 enodes) * [exit]simplify: Simplified to (+ (/ (/ x sin) (/ cos -2)) (/ (/ 1 x) (* sin cos))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (/ (+ (/ (/ x sin) (/ cos -2)) (/ (/ 1 x) (* sin cos))) (* (* x cos) sin))) * * * * [misc]progress: [ 71 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos (* 2 x)) (* cos (* x sin))) * * [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 (23 enodes) * [exit]simplify: Simplified to (/ (cos (* 2 x)) (* (* cos sin) x)) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (/ (/ (cos (* 2 x)) (* (* cos sin) x)) (* (* x cos) sin))) * * * * [misc]progress: [ 72 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos (* 2 x)) (* cos (* x sin))) * * [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 (23 enodes) * [exit]simplify: Simplified to (/ (cos (* 2 x)) (* (* cos sin) x)) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (/ (/ (cos (* 2 x)) (* (* cos sin) x)) (* (* x cos) sin))) * * * * [misc]progress: [ 73 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* x cos)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ 1 (* cos x)) * [misc]simplify: Simplified (2 1 1) to (λ (x cos sin) (/ (* (/ 1 (* cos x)) (/ (cos (* 2 x)) sin)) (* (* x cos) sin))) * * * * [misc]progress: [ 74 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* x cos)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ 1 (* cos x)) * [misc]simplify: Simplified (2 1 1) to (λ (x cos sin) (/ (* (/ 1 (* cos x)) (/ (cos (* 2 x)) sin)) (* (* x cos) sin))) * * * * [misc]progress: [ 75 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* x cos)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ 1 (* cos x)) * [misc]simplify: Simplified (2 1 1) to (λ (x cos sin) (/ (* (/ 1 (* cos x)) (/ (cos (* 2 x)) sin)) (* (* x cos) sin))) * * * * [misc]progress: [ 76 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ 1 (* (pow x 2) (* (pow sin 2) (pow cos 2)))) (* 2/3 (/ (pow x 2) (* (pow sin 2) (pow cos 2))))) (* 2 (/ 1 (* (pow sin 2) (pow cos 2))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (388 enodes) * [exit]simplify: Simplified to (+ (/ (* (* x x) 2/3) (* (* cos sin) (* cos sin))) (+ (/ (/ 1 (* x x)) (* (* cos sin) (* cos sin))) (/ -2 (* (* cos sin) (* cos sin))))) * [misc]simplify: Simplified (2) to (λ (x cos sin) (+ (/ (* (* x x) 2/3) (* (* cos sin) (* cos sin))) (+ (/ (/ 1 (* x x)) (* (* cos sin) (* cos sin))) (/ -2 (* (* cos sin) (* cos sin)))))) * * * * [misc]progress: [ 77 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos (* 2 x)) (* (pow cos 2) (* (pow x 2) (pow sin 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (224 enodes) * * [misc]simplify: iters left: 1 (356 enodes) * [exit]simplify: Simplified to (/ (cos (* 2 x)) (* (* (* x sin) cos) (* (* x sin) cos))) * [misc]simplify: Simplified (2) to (λ (x cos sin) (/ (cos (* 2 x)) (* (* (* x sin) cos) (* (* x sin) cos)))) * * * * [misc]progress: [ 78 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos (* 2 x)) (* (pow cos 2) (* (pow x 2) (pow sin 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (224 enodes) * * [misc]simplify: iters left: 1 (356 enodes) * [exit]simplify: Simplified to (/ (cos (* 2 x)) (* (* (* x sin) cos) (* (* x sin) cos))) * [misc]simplify: Simplified (2) to (λ (x cos sin) (/ (cos (* 2 x)) (* (* (* x sin) cos) (* (* x sin) cos)))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime: Finding splitpoints for: (# # # # # # # # # # #) * * * [misc]regime-changes: Trying 3 branch expressions: (sin cos x) * * * * [misc]regimes: Trying to branch on sin from (# # # # # # # # # # #) * * * * [misc]regimes: Trying to branch on cos from (# # # # # # # # # # #) * * * * [misc]regimes: Trying to branch on x from (# # # # # # # # # # #) * * * [misc]regime: Found split indices: #