* [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 63 additional inputs, on iter 1 have 193 / 256 * * * * [misc]points: Computing exacts on every 3 of 63 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 63 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 17 additional inputs, on iter 2 have 239 / 256 * * * * [misc]points: Computing exacts for 17 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 3 have 254 / 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 257 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 (233 enodes) * * [misc]simplify: iters left: 1 (353 enodes) * [exit]simplify: Simplified to (/ (cos (* 2 x)) (* (* sin (* x cos)) (* sin (* x cos)))) * * [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 (* sin (* x cos)) in (sin x cos) around 0 * [misc]taylor: Taking taylor expansion of (* sin (* x cos)) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [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 (* x cos)) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [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 (* x cos)) 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 (* 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 (* x cos)) 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 (* 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 (* 0 (* x cos)) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 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 (+ (* x 0) (* 0 cos)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* x cos))) into (* x cos) * [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]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 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 (+ (* x 0) (+ (* 0 0) (* 0 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* x cos)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 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 0) (* 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (/ 1 sin) (* (/ 1 x) (/ 1 cos))) in (sin x cos) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 sin) (* (/ 1 x) (/ 1 cos))) in cos * [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)) 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) (* (/ 1 x) (/ 1 cos))) in 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]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) (* (/ 1 x) (/ 1 cos))) in 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]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) (* (/ 1 x) (/ 1 cos))) in 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]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 (/ 1 (* x 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 (- (+ (* (/ 1 cos) (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 cos))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 (* x cos)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 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]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 cos) (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (* 0 (/ 1 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 (* x cos))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 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 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 (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 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 (* x cos)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 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 cos * [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 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* (/ 1 (/ 1 cos)) (* (/ 1 (/ 1 x)) (/ 1 (/ 1 sin))))) into (* x (* cos sin)) * [misc]approximate: Taking taylor expansion of (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos)))) in (sin x cos) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos)))) in cos * [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))) 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)) (* (/ 1 (- x)) (/ 1 (- cos)))) in 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]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)) (* (/ 1 (- x)) (/ 1 (- cos)))) in sin * [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))) 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)) (* (/ 1 (- x)) (/ 1 (- cos)))) in sin * [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))) 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 (/ -1 (* x cos)) * [misc]taylor: Taking taylor expansion of (/ -1 (* x cos)) in x * [misc]taylor: Taking taylor expansion of -1 in x * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* x 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 -1 in cos * [misc]backup-simplify: Simplify -1 into -1 * [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) 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 (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 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 (* x cos)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 cos))) 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 (- (/ 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 (- 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 (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (* 0 (/ -1 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 (* x cos))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 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 0) (* 0 cos)))) 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 (- (/ 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 (- 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 (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 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 (* x cos)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 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 cos * [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 (- (/ 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 0 into 0 * [misc]backup-simplify: Simplify (* -1 (* (/ 1 (/ 1 (- cos))) (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- sin)))))) into (* x (* cos sin)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (* sin (* x cos)) in (sin x cos) around 0 * [misc]taylor: Taking taylor expansion of (* sin (* x cos)) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [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 (* x cos)) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [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 (* x cos)) 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 (* 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 (* x cos)) 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 (* 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 (* 0 (* x cos)) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 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 (+ (* x 0) (* 0 cos)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* x cos))) into (* x cos) * [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]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 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 (+ (* x 0) (+ (* 0 0) (* 0 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* x cos)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 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 0) (* 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (/ 1 sin) (* (/ 1 x) (/ 1 cos))) in (sin x cos) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 sin) (* (/ 1 x) (/ 1 cos))) in cos * [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)) 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) (* (/ 1 x) (/ 1 cos))) in 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]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) (* (/ 1 x) (/ 1 cos))) in 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]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) (* (/ 1 x) (/ 1 cos))) in 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]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 (/ 1 (* x 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 (- (+ (* (/ 1 cos) (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 cos))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 (* x cos)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 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]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 cos) (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (* 0 (/ 1 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 (* x cos))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 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 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 (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 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 (* x cos)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 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 cos * [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 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* (/ 1 (/ 1 cos)) (* (/ 1 (/ 1 x)) (/ 1 (/ 1 sin))))) into (* x (* cos sin)) * [misc]approximate: Taking taylor expansion of (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos)))) in (sin x cos) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos)))) in cos * [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))) 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)) (* (/ 1 (- x)) (/ 1 (- cos)))) in 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]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)) (* (/ 1 (- x)) (/ 1 (- cos)))) in sin * [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))) 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)) (* (/ 1 (- x)) (/ 1 (- cos)))) in sin * [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))) 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 (/ -1 (* x cos)) * [misc]taylor: Taking taylor expansion of (/ -1 (* x cos)) in x * [misc]taylor: Taking taylor expansion of -1 in x * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* x 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 -1 in cos * [misc]backup-simplify: Simplify -1 into -1 * [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) 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 (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 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 (* x cos)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 cos))) 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 (- (/ 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 (- 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 (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (* 0 (/ -1 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 (* x cos))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 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 0) (* 0 cos)))) 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 (- (/ 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 (- 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 (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 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 (* x cos)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 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 cos * [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 (- (/ 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 0 into 0 * [misc]backup-simplify: Simplify (* -1 (* (/ 1 (/ 1 (- cos))) (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- sin)))))) into (* x (* cos sin)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (cos (* 2 x)) (* (* sin (* x cos)) (* sin (* x cos)))) in (x sin cos) around 0 * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 x)) (* (* sin (* x cos)) (* sin (* x cos)))) 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 (* x cos)) (* sin (* x cos))) in cos * [misc]taylor: Taking taylor expansion of (* sin (* x cos)) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [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 (* x cos)) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [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 (* (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 (* sin 0) into 0 * [misc]backup-simplify: Simplify (* x 0) into 0 * [misc]backup-simplify: Simplify (* sin 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* x 1) (* 0 0)) into x * [misc]backup-simplify: Simplify (+ (* sin x) (* 0 0)) into (* x sin) * [misc]backup-simplify: Simplify (+ (* x 1) (* 0 0)) into x * [misc]backup-simplify: Simplify (+ (* sin x) (* 0 0)) 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 (+ (* sin 0) (+ (* 0 x) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (+ (* 0 x) (* 0 0))) 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)) (* (* sin (* x cos)) (* sin (* x cos)))) 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 (* x cos)) (* sin (* x cos))) in sin * [misc]taylor: Taking taylor expansion of (* sin (* x cos)) 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 (* 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 (* x cos)) 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 (* 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 (* (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 (* 0 (* x cos)) into 0 * [misc]backup-simplify: Simplify (* x cos) into (* x cos) * [misc]backup-simplify: Simplify (* 0 (* x cos)) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (* 0 cos)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* x cos))) into (* x cos) * [misc]backup-simplify: Simplify (+ (* x 0) (* 0 cos)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* x cos))) 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 (+ (* 0 0) (+ (* 1 0) (* 0 (* x cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (+ (* 0 0) (* 0 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* x cos)))) 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)) (* (* sin (* x cos)) (* sin (* x cos)))) 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 (* x cos)) (* sin (* x cos))) in x * [misc]taylor: Taking taylor expansion of (* sin (* x cos)) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [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 (* x cos)) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [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 (* sin 0) into 0 * [misc]backup-simplify: Simplify (* 0 cos) into 0 * [misc]backup-simplify: Simplify (* sin 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 cos)) into cos * [misc]backup-simplify: Simplify (+ (* sin cos) (* 0 0)) into (* sin cos) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 cos)) into cos * [misc]backup-simplify: Simplify (+ (* sin cos) (* 0 0)) into (* sin cos) * [misc]backup-simplify: Simplify (+ (* 0 (* sin cos)) (* (* sin cos) 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (+ (* 0 cos) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (+ (* 0 cos) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (* sin cos) (* sin cos)) (* 0 0))) into (* (pow sin 2) (pow cos 2)) * [misc]backup-simplify: Simplify (/ 1 (* (pow sin 2) (pow cos 2))) into (/ 1 (* (pow sin 2) (pow cos 2))) * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 x)) (* (* sin (* x cos)) (* sin (* x cos)))) 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 (* x cos)) (* sin (* x cos))) in x * [misc]taylor: Taking taylor expansion of (* sin (* x cos)) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [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 (* x cos)) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [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 (* sin 0) into 0 * [misc]backup-simplify: Simplify (* 0 cos) into 0 * [misc]backup-simplify: Simplify (* sin 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 cos)) into cos * [misc]backup-simplify: Simplify (+ (* sin cos) (* 0 0)) into (* sin cos) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 cos)) into cos * [misc]backup-simplify: Simplify (+ (* sin cos) (* 0 0)) into (* sin cos) * [misc]backup-simplify: Simplify (+ (* 0 (* sin cos)) (* (* sin cos) 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (+ (* 0 cos) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (+ (* 0 cos) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (* sin cos) (* sin cos)) (* 0 0))) into (* (pow sin 2) (pow cos 2)) * [misc]backup-simplify: Simplify (/ 1 (* (pow sin 2) (pow cos 2))) into (/ 1 (* (pow sin 2) (pow cos 2))) * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow sin 2) (pow cos 2))) in sin * [misc]taylor: Taking taylor expansion of (* (pow sin 2) (pow cos 2)) in sin * [misc]taylor: Taking taylor expansion of (pow sin 2) in sin * [misc]taylor: Taking taylor expansion of (pow cos 2) in sin * [misc]taylor: Taking taylor expansion of (exp (* 2 (log cos))) in sin * [misc]taylor: Taking taylor expansion of (* 2 (log cos)) in sin * [misc]taylor: Taking taylor expansion of 2 in sin * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (log cos) into (log cos) * [misc]backup-simplify: Simplify (* 2 (log cos)) into (* 2 (log cos)) * [misc]backup-simplify: Simplify (exp (* 2 (log cos))) into (pow cos 2) * [misc]backup-simplify: Simplify (* 1 (pow cos 2)) into (pow cos 2) * [misc]backup-simplify: Simplify (/ 1 (pow cos 2)) into (/ 1 (pow cos 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow cos 2)) in cos * [misc]taylor: Taking taylor expansion of (pow cos 2) in cos * [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 (+ (* sin 0) (+ (* 0 0) (+ (* 0 cos) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (+ (* 0 0) (+ (* 0 cos) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (* sin cos) 0) (+ (* 0 (* sin cos)) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (pow sin 2) (pow cos 2))) (+ (* (/ 1 (* (pow sin 2) (pow cos 2))) (/ 0 (* (pow sin 2) (pow cos 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow cos 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log cos))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log cos))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow cos 2))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow cos 2)) (/ 0 (pow cos 2))))) 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 (/ (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 (+ (* sin 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 cos) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos))))) into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 cos) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (* sin cos) 0) (+ (* 0 0) (+ (* 0 (* sin cos)) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (/ (- 2) (* (pow sin 2) (pow cos 2))) (+ (* (/ 1 (* (pow sin 2) (pow cos 2))) (/ 0 (* (pow sin 2) (pow cos 2)))) (* 0 (/ 0 (* (pow sin 2) (pow cos 2)))))) into (- (* 2 (/ 1 (* (pow sin 2) (pow cos 2))))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (* (pow sin 2) (pow cos 2))))) in sin * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* (pow sin 2) (pow cos 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) (pow cos 2))) in sin * [misc]taylor: Taking taylor expansion of (* (pow sin 2) (pow cos 2)) in sin * [misc]taylor: Taking taylor expansion of (pow sin 2) in sin * [misc]taylor: Taking taylor expansion of (pow cos 2) in sin * [misc]taylor: Taking taylor expansion of (exp (* 2 (log cos))) in sin * [misc]taylor: Taking taylor expansion of (* 2 (log cos)) in sin * [misc]taylor: Taking taylor expansion of 2 in sin * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (log cos) into (log cos) * [misc]backup-simplify: Simplify (* 2 (log cos)) into (* 2 (log cos)) * [misc]backup-simplify: Simplify (exp (* 2 (log cos))) into (pow cos 2) * [misc]backup-simplify: Simplify (* 1 (pow cos 2)) into (pow cos 2) * [misc]backup-simplify: Simplify (/ 1 (pow cos 2)) into (/ 1 (pow cos 2)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (pow cos 2))) into (/ 2 (pow cos 2)) * [misc]backup-simplify: Simplify (- (/ 2 (pow cos 2))) into (- (* 2 (/ 1 (pow cos 2)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (pow cos 2)))) in cos * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow cos 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)) in cos * [misc]taylor: Taking taylor expansion of (pow cos 2) in cos * [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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow cos 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow cos 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log cos)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log cos))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow cos 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow cos 2)) (/ 0 (pow cos 2))) (* 0 (/ 0 (pow cos 2))))) 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)) (* 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 (+ (* sin 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 cos) (* 0 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 (+ (* sin 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 cos) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (* sin cos) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (* sin cos)) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (pow sin 2) (pow cos 2))) (+ (* (/ 1 (* (pow sin 2) (pow cos 2))) (/ 0 (* (pow sin 2) (pow cos 2)))) (* 0 (/ 0 (* (pow sin 2) (pow cos 2)))) (* (- (* 2 (/ 1 (* (pow sin 2) (pow cos 2))))) (/ 0 (* (pow sin 2) (pow cos 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow cos 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log cos))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log cos))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow cos 2))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow cos 2)) (/ 0 (pow cos 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (pow cos 2)))) into 0 * [misc]backup-simplify: Simplify (- 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 cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow cos 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow cos 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow cos 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log cos))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log cos))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow cos 2))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow cos 2)) (/ 0 (pow cos 2))) (* 0 (/ 0 (pow cos 2))) (* 0 (/ 0 (pow cos 2))))) 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 (+ (* 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 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 (+ (* sin 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 cos) (* 0 0))))))) 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 (+ (* sin 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 cos) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (* sin cos) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (* sin cos)) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 2/3 (* (pow sin 2) (pow cos 2))) (+ (* (/ 1 (* (pow sin 2) (pow cos 2))) (/ 0 (* (pow sin 2) (pow cos 2)))) (* 0 (/ 0 (* (pow sin 2) (pow cos 2)))) (* (- (* 2 (/ 1 (* (pow sin 2) (pow cos 2))))) (/ 0 (* (pow sin 2) (pow cos 2)))) (* 0 (/ 0 (* (pow sin 2) (pow cos 2)))))) into (* 2/3 (/ 1 (* (pow sin 2) (pow cos 2)))) * [misc]taylor: Taking taylor expansion of (* 2/3 (/ 1 (* (pow sin 2) (pow cos 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 (/ 1 (* (pow sin 2) (pow cos 2))) in sin * [misc]taylor: Taking taylor expansion of (* (pow sin 2) (pow cos 2)) in sin * [misc]taylor: Taking taylor expansion of (pow sin 2) in sin * [misc]taylor: Taking taylor expansion of (pow cos 2) in sin * [misc]taylor: Taking taylor expansion of (exp (* 2 (log cos))) in sin * [misc]taylor: Taking taylor expansion of (* 2 (log cos)) in sin * [misc]taylor: Taking taylor expansion of 2 in sin * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (log cos) into (log cos) * [misc]backup-simplify: Simplify (* 2 (log cos)) into (* 2 (log cos)) * [misc]backup-simplify: Simplify (exp (* 2 (log cos))) into (pow cos 2) * [misc]backup-simplify: Simplify (* 1 (pow cos 2)) into (pow cos 2) * [misc]backup-simplify: Simplify (/ 1 (pow cos 2)) into (/ 1 (pow cos 2)) * [misc]backup-simplify: Simplify (* 2/3 (/ 1 (pow cos 2))) into (/ 2/3 (pow cos 2)) * [misc]taylor: Taking taylor expansion of (/ 2/3 (pow cos 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 (pow cos 2) in cos * [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 cos) (* (/ 1 sin) x)) 2)) (+ (* -2 (pow (* (/ 1 cos) (* (/ 1 sin) 1)) 2)) (* 1 (pow (* (/ 1 cos) (* (/ 1 sin) (/ 1 x))) 2)))) into (- (+ (/ 1 (* (pow x 2) (* (pow cos 2) (pow sin 2)))) (* 2/3 (/ (pow x 2) (* (pow cos 2) (pow sin 2))))) (* 2 (/ 1 (* (pow cos 2) (pow sin 2))))) * [misc]approximate: Taking taylor expansion of (/ (cos (* 2 (/ 1 x))) (* (* (/ 1 sin) (* (/ 1 x) (/ 1 cos))) (* (/ 1 sin) (* (/ 1 x) (/ 1 cos))))) in (x sin cos) around 0 * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 x))) (* (* (/ 1 sin) (* (/ 1 x) (/ 1 cos))) (* (/ 1 sin) (* (/ 1 x) (/ 1 cos))))) 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) (* (/ 1 x) (/ 1 cos))) (* (/ 1 sin) (* (/ 1 x) (/ 1 cos)))) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 sin) (* (/ 1 x) (/ 1 cos))) in cos * [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)) 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) (* (/ 1 x) (/ 1 cos))) in cos * [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)) 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 (* (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 sin) (/ 1 x)) into (/ 1 (* x sin)) * [misc]backup-simplify: Simplify (* (/ 1 x) 1) into (/ 1 x) * [misc]backup-simplify: Simplify (* (/ 1 sin) (/ 1 x)) 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 sin) (* (/ 1 x) (/ 1 cos))) (* (/ 1 sin) (* (/ 1 x) (/ 1 cos))))) 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) (* (/ 1 x) (/ 1 cos))) (* (/ 1 sin) (* (/ 1 x) (/ 1 cos)))) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 sin) (* (/ 1 x) (/ 1 cos))) in 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]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) (* (/ 1 x) (/ 1 cos))) in 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]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 (* (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 (/ 1 (* x cos))) into (/ 1 (* x cos)) * [misc]backup-simplify: Simplify (* (/ 1 x) (/ 1 cos)) into (/ 1 (* x cos)) * [misc]backup-simplify: Simplify (* 1 (/ 1 (* x cos))) 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 sin) (* (/ 1 x) (/ 1 cos))) (* (/ 1 sin) (* (/ 1 x) (/ 1 cos))))) 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) (* (/ 1 x) (/ 1 cos))) (* (/ 1 sin) (* (/ 1 x) (/ 1 cos)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 sin) (* (/ 1 x) (/ 1 cos))) in 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]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) (* (/ 1 x) (/ 1 cos))) in 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]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 sin) (/ 1 cos)) into (/ 1 (* sin cos)) * [misc]backup-simplify: Simplify (* 1 (/ 1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 sin) (/ 1 cos)) into (/ 1 (* sin cos)) * [misc]backup-simplify: Simplify (* (/ 1 (* sin cos)) (/ 1 (* sin cos))) into (/ 1 (* (pow sin 2) (pow cos 2))) * [misc]backup-simplify: Simplify (/ (cos (/ 2 x)) (/ 1 (* (pow sin 2) (pow cos 2)))) into (* (pow sin 2) (* (pow cos 2) (cos (/ 2 x)))) * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 x))) (* (* (/ 1 sin) (* (/ 1 x) (/ 1 cos))) (* (/ 1 sin) (* (/ 1 x) (/ 1 cos))))) 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) (* (/ 1 x) (/ 1 cos))) (* (/ 1 sin) (* (/ 1 x) (/ 1 cos)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 sin) (* (/ 1 x) (/ 1 cos))) in 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]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) (* (/ 1 x) (/ 1 cos))) in 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]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 sin) (/ 1 cos)) into (/ 1 (* sin cos)) * [misc]backup-simplify: Simplify (* 1 (/ 1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 sin) (/ 1 cos)) into (/ 1 (* sin cos)) * [misc]backup-simplify: Simplify (* (/ 1 (* sin cos)) (/ 1 (* sin cos))) into (/ 1 (* (pow sin 2) (pow cos 2))) * [misc]backup-simplify: Simplify (/ (cos (/ 2 x)) (/ 1 (* (pow sin 2) (pow cos 2)))) into (* (pow sin 2) (* (pow cos 2) (cos (/ 2 x)))) * [misc]taylor: Taking taylor expansion of (* (pow sin 2) (* (pow cos 2) (cos (/ 2 x)))) in sin * [misc]taylor: Taking taylor expansion of (pow sin 2) in sin * [misc]taylor: Taking taylor expansion of (* (pow cos 2) (cos (/ 2 x))) in sin * [misc]taylor: Taking taylor expansion of (pow cos 2) in sin * [misc]taylor: Taking taylor expansion of (exp (* 2 (log cos))) in sin * [misc]taylor: Taking taylor expansion of (* 2 (log cos)) in sin * [misc]taylor: Taking taylor expansion of 2 in sin * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (log cos) into (log cos) * [misc]backup-simplify: Simplify (* 2 (log cos)) into (* 2 (log cos)) * [misc]backup-simplify: Simplify (exp (* 2 (log cos))) into (pow cos 2) * [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 (* (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 cos 2) (cos (/ 2 x))) into (* (pow cos 2) (cos (/ 2 x))) * [misc]backup-simplify: Simplify (* 1 (* (pow cos 2) (cos (/ 2 x)))) into (* (pow cos 2) (cos (/ 2 x))) * [misc]taylor: Taking taylor expansion of (* (pow cos 2) (cos (/ 2 x))) in cos * [misc]taylor: Taking taylor expansion of (pow cos 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]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 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 sin) (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 sin) 0) (* 0 (/ 1 cos))) 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 sin) (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 sin) 0) (* 0 (/ 1 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* sin cos)) 0) (* 0 (/ 1 (* sin cos)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (* (pow sin 2) (pow cos 2)))) (+ (* (* (pow sin 2) (* (pow cos 2) (cos (/ 2 x)))) (/ 0 (/ 1 (* (pow sin 2) (pow cos 2))))))) 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 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 (+ (* (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 (/ (* (pow (* 1 0) 1)) (pow cos 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log cos))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log cos))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow cos 2) 0) (* 0 (cos (/ 2 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (* (pow cos 2) (cos (/ 2 x))))) 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 (+ (* (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 (cos (/ 2 x)))) 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 (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 sin) 0) (+ (* 0 0) (* 0 (/ 1 cos)))) 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 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 sin) 0) (+ (* 0 0) (* 0 (/ 1 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* sin cos)) 0) (+ (* 0 0) (* 0 (/ 1 (* sin cos))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (* (pow sin 2) (pow cos 2)))) (+ (* (* (pow sin 2) (* (pow cos 2) (cos (/ 2 x)))) (/ 0 (/ 1 (* (pow sin 2) (pow cos 2))))) (* 0 (/ 0 (/ 1 (* (pow sin 2) (pow cos 2))))))) 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 cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 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 (/ (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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow cos 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow cos 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log cos)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log cos))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow cos 2) 0) (+ (* 0 0) (* 0 (cos (/ 2 x))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (* (pow cos 2) (cos (/ 2 x)))))) 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 (* (cos (/ 2 (/ 1 x))) (pow (* (/ 1 cos) (* (/ 1 sin) (/ 1 x))) 2)) into (/ (cos (* 2 x)) (* (pow sin 2) (* (pow x 2) (pow cos 2)))) * [misc]approximate: Taking taylor expansion of (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos)))) (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos)))))) in (x sin cos) around 0 * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos)))) (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos)))))) 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)) (* (/ 1 (- x)) (/ 1 (- cos)))) (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos))))) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos)))) in cos * [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))) 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)) (* (/ 1 (- x)) (/ 1 (- cos)))) in cos * [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))) 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 (* (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 sin) (/ 1 x)) into (/ -1 (* x sin)) * [misc]backup-simplify: Simplify (* (/ -1 x) -1) into (/ 1 x) * [misc]backup-simplify: Simplify (* (/ -1 sin) (/ 1 x)) 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 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos)))) (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos)))))) 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)) (* (/ 1 (- x)) (/ 1 (- cos)))) (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos))))) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos)))) in sin * [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))) 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)) (* (/ 1 (- x)) (/ 1 (- cos)))) in sin * [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))) 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 (* (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 (/ 1 (* x cos))) into (/ -1 (* x cos)) * [misc]backup-simplify: Simplify (* (/ -1 x) (/ -1 cos)) into (/ 1 (* x cos)) * [misc]backup-simplify: Simplify (* -1 (/ 1 (* x cos))) 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 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos)))) (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos)))))) 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)) (* (/ 1 (- x)) (/ 1 (- cos)))) (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos))))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos)))) in 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]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)) (* (/ 1 (- x)) (/ 1 (- cos)))) in 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]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 sin) (/ 1 cos)) into (/ -1 (* sin cos)) * [misc]backup-simplify: Simplify (* -1 (/ -1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ -1 sin) (/ 1 cos)) into (/ -1 (* sin cos)) * [misc]backup-simplify: Simplify (* (/ -1 (* sin cos)) (/ -1 (* sin cos))) into (/ 1 (* (pow sin 2) (pow cos 2))) * [misc]backup-simplify: Simplify (/ (cos (/ -2 x)) (/ 1 (* (pow sin 2) (pow cos 2)))) into (* (cos (/ -2 x)) (* (pow sin 2) (pow cos 2))) * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos)))) (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos)))))) 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)) (* (/ 1 (- x)) (/ 1 (- cos)))) (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos))))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos)))) in 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]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)) (* (/ 1 (- x)) (/ 1 (- cos)))) in 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]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 sin) (/ 1 cos)) into (/ -1 (* sin cos)) * [misc]backup-simplify: Simplify (* -1 (/ -1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ -1 sin) (/ 1 cos)) into (/ -1 (* sin cos)) * [misc]backup-simplify: Simplify (* (/ -1 (* sin cos)) (/ -1 (* sin cos))) into (/ 1 (* (pow sin 2) (pow cos 2))) * [misc]backup-simplify: Simplify (/ (cos (/ -2 x)) (/ 1 (* (pow sin 2) (pow cos 2)))) into (* (cos (/ -2 x)) (* (pow sin 2) (pow cos 2))) * [misc]taylor: Taking taylor expansion of (* (cos (/ -2 x)) (* (pow sin 2) (pow cos 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) (pow cos 2)) in sin * [misc]taylor: Taking taylor expansion of (pow sin 2) in sin * [misc]taylor: Taking taylor expansion of (pow cos 2) in sin * [misc]taylor: Taking taylor expansion of (exp (* 2 (log cos))) in sin * [misc]taylor: Taking taylor expansion of (* 2 (log cos)) in sin * [misc]taylor: Taking taylor expansion of 2 in sin * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (log cos) into (log cos) * [misc]backup-simplify: Simplify (* 2 (log cos)) into (* 2 (log cos)) * [misc]backup-simplify: Simplify (exp (* 2 (log cos))) into (pow cos 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 (* 1 (pow cos 2)) into (pow cos 2) * [misc]backup-simplify: Simplify (* (cos (/ -2 x)) (pow cos 2)) into (* (cos (/ -2 x)) (pow cos 2)) * [misc]taylor: Taking taylor expansion of (* (cos (/ -2 x)) (pow cos 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) in cos * [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]backup-simplify: Simplify (cos (/ -2 x)) into (cos (/ -2 x)) * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 sin) 0) (* 0 (/ 1 cos))) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 sin) 0) (* 0 (/ 1 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 (* sin cos)) 0) (* 0 (/ -1 (* sin cos)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (* (pow sin 2) (pow cos 2)))) (+ (* (* (cos (/ -2 x)) (* (pow sin 2) (pow cos 2))) (/ 0 (/ 1 (* (pow sin 2) (pow cos 2))))))) 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 cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow cos 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log cos))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log cos))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow cos 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 cos 2))) 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 (+ (* (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 (- 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 (- 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 (+ (* (/ -1 sin) 0) (+ (* 0 0) (* 0 (/ 1 cos)))) 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 (- 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 (+ (* (/ -1 sin) 0) (+ (* 0 0) (* 0 (/ 1 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 (* sin cos)) 0) (+ (* 0 0) (* 0 (/ -1 (* sin cos))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (* (pow sin 2) (pow cos 2)))) (+ (* (* (cos (/ -2 x)) (* (pow sin 2) (pow cos 2))) (/ 0 (/ 1 (* (pow sin 2) (pow cos 2))))) (* 0 (/ 0 (/ 1 (* (pow sin 2) (pow cos 2))))))) 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 cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 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 (/ (* (pow (* 1 0) 2)) (pow cos 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow cos 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log cos)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log cos))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow cos 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 cos 2)))) 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 (* (cos (/ -2 (/ 1 (- x)))) (pow (* (/ 1 (- cos)) (* (/ 1 (- sin)) (/ 1 (- x)))) 2)) into (/ (cos (* 2 x)) (* (pow sin 2) (* (pow x 2) (pow cos 2)))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (* (* sin (* x cos)) (* sin (* x cos))) in (sin x cos) around 0 * [misc]taylor: Taking taylor expansion of (* (* sin (* x cos)) (* sin (* x cos))) in cos * [misc]taylor: Taking taylor expansion of (* sin (* x cos)) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [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 (* x cos)) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [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 (* x cos)) (* sin (* x cos))) in x * [misc]taylor: Taking taylor expansion of (* sin (* x cos)) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [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 (* x cos)) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [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 (* x cos)) (* sin (* x cos))) in sin * [misc]taylor: Taking taylor expansion of (* sin (* x cos)) 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 (* 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 (* x cos)) 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 (* 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 (* x cos)) (* sin (* x cos))) in sin * [misc]taylor: Taking taylor expansion of (* sin (* x cos)) 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 (* 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 (* x cos)) 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 (* 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 (* 0 (* x cos)) into 0 * [misc]backup-simplify: Simplify (* x cos) into (* x cos) * [misc]backup-simplify: Simplify (* 0 (* x cos)) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (+ (* x 0) (* 0 cos)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* x cos))) into (* x cos) * [misc]backup-simplify: Simplify (+ (* x 0) (* 0 cos)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* x cos))) into (* x cos) * [misc]backup-simplify: Simplify (+ (* 0 (* x cos)) (* (* x cos) 0)) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 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]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 (+ (* x 0) (+ (* 0 0) (* 0 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* x cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (+ (* 0 0) (* 0 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* x cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (* x cos) (* x cos)) (* 0 0))) into (* (pow x 2) (pow cos 2)) * [misc]taylor: Taking taylor expansion of (* (pow x 2) (pow cos 2)) in x * [misc]taylor: Taking taylor expansion of (pow x 2) in x * [misc]taylor: Taking taylor expansion of (pow cos 2) in x * [misc]taylor: Taking taylor expansion of (exp (* 2 (log cos))) in x * [misc]taylor: Taking taylor expansion of (* 2 (log cos)) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (log cos) into (log cos) * [misc]backup-simplify: Simplify (* 2 (log cos)) into (* 2 (log cos)) * [misc]backup-simplify: Simplify (exp (* 2 (log cos))) into (pow cos 2) * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 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]approximate: Taking taylor expansion of (* (* (/ 1 sin) (* (/ 1 x) (/ 1 cos))) (* (/ 1 sin) (* (/ 1 x) (/ 1 cos)))) in (sin x cos) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 sin) (* (/ 1 x) (/ 1 cos))) (* (/ 1 sin) (* (/ 1 x) (/ 1 cos)))) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 sin) (* (/ 1 x) (/ 1 cos))) in cos * [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)) 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) (* (/ 1 x) (/ 1 cos))) in cos * [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)) 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) (* (/ 1 x) (/ 1 cos))) (* (/ 1 sin) (* (/ 1 x) (/ 1 cos)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 sin) (* (/ 1 x) (/ 1 cos))) in 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]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) (* (/ 1 x) (/ 1 cos))) in 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]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) (* (/ 1 x) (/ 1 cos))) (* (/ 1 sin) (* (/ 1 x) (/ 1 cos)))) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 sin) (* (/ 1 x) (/ 1 cos))) in 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]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) (* (/ 1 x) (/ 1 cos))) in 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]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) (* (/ 1 x) (/ 1 cos))) (* (/ 1 sin) (* (/ 1 x) (/ 1 cos)))) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 sin) (* (/ 1 x) (/ 1 cos))) in 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]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) (* (/ 1 x) (/ 1 cos))) in 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]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 (/ 1 (* x cos)) * [misc]backup-simplify: Simplify (* (/ 1 x) (/ 1 cos)) into (/ 1 (* x cos)) * [misc]backup-simplify: Simplify (* 1 (/ 1 (* x cos))) into (/ 1 (* x cos)) * [misc]backup-simplify: Simplify (* (/ 1 (* x cos)) (/ 1 (* x cos))) into (/ 1 (* (pow x 2) (pow cos 2))) * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow x 2) (pow cos 2))) in x * [misc]taylor: Taking taylor expansion of (* (pow x 2) (pow cos 2)) in x * [misc]taylor: Taking taylor expansion of (pow x 2) in x * [misc]taylor: Taking taylor expansion of (pow cos 2) in x * [misc]taylor: Taking taylor expansion of (exp (* 2 (log cos))) in x * [misc]taylor: Taking taylor expansion of (* 2 (log cos)) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (log cos) into (log cos) * [misc]backup-simplify: Simplify (* 2 (log cos)) into (* 2 (log cos)) * [misc]backup-simplify: Simplify (exp (* 2 (log cos))) into (pow cos 2) * [misc]backup-simplify: Simplify (* 1 (pow cos 2)) into (pow cos 2) * [misc]backup-simplify: Simplify (/ 1 (pow cos 2)) into (/ 1 (pow cos 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow cos 2)) in cos * [misc]taylor: Taking taylor expansion of (pow cos 2) in cos * [misc]backup-simplify: Simplify (/ 1 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 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 cos))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 (* x cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 cos))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 (* x cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* x cos)) 0) (* 0 (/ 1 (* x cos)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow cos 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log cos))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log cos))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow cos 2))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow cos 2)) (/ 0 (pow cos 2))))) 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 cos) (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (* 0 (/ 1 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 (* x cos))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (* 0 (/ 1 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 (* x cos))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* x cos)) 0) (+ (* 0 0) (* 0 (/ 1 (* x cos))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow cos 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow cos 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log cos)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log cos))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow cos 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow cos 2)) (/ 0 (pow cos 2))) (* 0 (/ 0 (pow cos 2))))) 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)) (* 0 (/ 0 1)))) 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 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 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 (* x cos)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 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 (* x cos)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* x cos)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* x cos)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow cos 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow cos 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow cos 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log cos))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log cos))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow cos 2))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow cos 2)) (/ 0 (pow cos 2))) (* 0 (/ 0 (pow cos 2))) (* 0 (/ 0 (pow cos 2))))) 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)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 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 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 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 (* x 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 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 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 (* x cos))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* x cos)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* x cos))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 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 cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow cos 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow cos 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow cos 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow cos 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow cos 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log cos)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log cos))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow cos 2)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow cos 2)) (/ 0 (pow cos 2))) (* 0 (/ 0 (pow cos 2))) (* 0 (/ 0 (pow cos 2))) (* 0 (/ 0 (pow cos 2))))) 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 (pow (* (/ 1 (/ 1 cos)) (* (/ 1 (/ 1 x)) (/ 1 (/ 1 sin)))) 2)) into (* (pow x 2) (* (pow cos 2) (pow sin 2))) * [misc]approximate: Taking taylor expansion of (* (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos)))) (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos))))) in (sin x cos) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos)))) (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos))))) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos)))) in cos * [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))) 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)) (* (/ 1 (- x)) (/ 1 (- cos)))) in cos * [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))) 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)) (* (/ 1 (- x)) (/ 1 (- cos)))) (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos))))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos)))) in 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]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)) (* (/ 1 (- x)) (/ 1 (- cos)))) in 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]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)) (* (/ 1 (- x)) (/ 1 (- cos)))) (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos))))) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos)))) in sin * [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))) 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)) (* (/ 1 (- x)) (/ 1 (- cos)))) in sin * [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))) 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)) (* (/ 1 (- x)) (/ 1 (- cos)))) (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos))))) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos)))) in sin * [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))) 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)) (* (/ 1 (- x)) (/ 1 (- cos)))) in sin * [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))) 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 (/ -1 (* x cos)) * [misc]backup-simplify: Simplify (* (/ -1 x) (/ -1 cos)) into (/ 1 (* x cos)) * [misc]backup-simplify: Simplify (* -1 (/ 1 (* x cos))) into (/ -1 (* x cos)) * [misc]backup-simplify: Simplify (* (/ -1 (* x cos)) (/ -1 (* x cos))) into (/ 1 (* (pow x 2) (pow cos 2))) * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow x 2) (pow cos 2))) in x * [misc]taylor: Taking taylor expansion of (* (pow x 2) (pow cos 2)) in x * [misc]taylor: Taking taylor expansion of (pow x 2) in x * [misc]taylor: Taking taylor expansion of (pow cos 2) in x * [misc]taylor: Taking taylor expansion of (exp (* 2 (log cos))) in x * [misc]taylor: Taking taylor expansion of (* 2 (log cos)) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (log cos) into (log cos) * [misc]backup-simplify: Simplify (* 2 (log cos)) into (* 2 (log cos)) * [misc]backup-simplify: Simplify (exp (* 2 (log cos))) into (pow cos 2) * [misc]backup-simplify: Simplify (* 1 (pow cos 2)) into (pow cos 2) * [misc]backup-simplify: Simplify (/ 1 (pow cos 2)) into (/ 1 (pow cos 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow cos 2)) in cos * [misc]taylor: Taking taylor expansion of (pow cos 2) in cos * [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 (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 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 (* x cos)))) 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 (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 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 (* x cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 (* x cos)) 0) (* 0 (/ -1 (* x cos)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow cos 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log cos))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log cos))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow cos 2))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow cos 2)) (/ 0 (pow cos 2))))) 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) 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 (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (* 0 (/ -1 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 (* x cos))))) 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 (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (* 0 (/ -1 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 (* x cos))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 (* x cos)) 0) (+ (* 0 0) (* 0 (/ -1 (* x cos))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow cos 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow cos 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log cos)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log cos))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow cos 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow cos 2)) (/ 0 (pow cos 2))) (* 0 (/ 0 (pow cos 2))))) 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)) (* 0 (/ 0 1)))) 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 (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 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 (* x cos)))))) 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 (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 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 (* x cos)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 (* x cos)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 (* x cos)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow cos 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow cos 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow cos 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log cos))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log cos))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow cos 2))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow cos 2)) (/ 0 (pow cos 2))) (* 0 (/ 0 (pow cos 2))) (* 0 (/ 0 (pow cos 2))))) 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)) (* 0 (/ 0 1)))) 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 (- 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 (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 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 (* x cos))))))) 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 (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 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 (* x cos))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 (* x cos)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 (* x cos))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 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 cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow cos 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow cos 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow cos 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow cos 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow cos 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log cos)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log cos))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow cos 2)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow cos 2)) (/ 0 (pow cos 2))) (* 0 (/ 0 (pow cos 2))) (* 0 (/ 0 (pow cos 2))) (* 0 (/ 0 (pow cos 2))))) 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 (pow (* (/ 1 (/ 1 (- cos))) (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- sin))))) 2)) into (* (pow x 2) (* (pow cos 2) (pow sin 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 (* sin (* x cos))) (log (* sin (* x cos))))) * * [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 (109 enodes) * * [misc]simplify: iters left: 2 (323 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: [ 21 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (cos (* 2 x))) (log (* (* sin (* x cos)) (* sin (* x cos))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * * [misc]simplify: iters left: 2 (460 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))) (* (* (* (* sin (* x cos)) (* sin (* x cos))) (* sin (* x cos))) (* (* (* sin (* x cos)) (* sin (* x cos))) (* sin (* x cos))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (169 enodes) * [exit]simplify: Simplified to (* (* (/ (cos (* 2 x)) (* (* sin x) cos)) (/ (cos (* 2 x)) (* (* sin x) cos))) (/ (/ (cos (* 2 x)) (* (* sin x) cos)) (pow (* (* sin x) cos) 3))) * [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)) (* (* sin x) cos)) (pow (* (* sin x) cos) 3))))) * * * * [misc]progress: [ 25 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (cos (* 2 x)) (cos (* 2 x))) (cos (* 2 x))) (* (* (* (* sin (* x cos)) (* sin (* x cos))) (* (* sin (* x cos)) (* sin (* x cos)))) (* (* sin (* x cos)) (* sin (* x cos))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (176 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)) (* (* sin (* x cos)) (* sin (* x cos)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (392 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)) (* (* sin (* x cos)) (* sin (* x cos)))))) * * * * [misc]progress: [ 31 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) (* sin (* x cos))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (180 enodes) * * [misc]simplify: iters left: 1 (205 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))) (* sin (* x cos))))) * [enter]simplify: Simplifying (/ (cbrt (cos (* 2 x))) (* sin (* x cos))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos (* 2 x))) (* (* cos x) sin)) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (* (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) (* sin (* x cos))) (/ (cbrt (cos (* 2 x))) (* (* cos x) sin)))) * * * * [misc]progress: [ 32 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cos (* 2 x))) (* sin (* x cos))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos (* 2 x))) (* (* cos x) sin)) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (* (/ (sqrt (cos (* 2 x))) (* (* cos x) sin)) (/ (sqrt (cos (* 2 x))) (* sin (* x cos))))) * [enter]simplify: Simplifying (/ (sqrt (cos (* 2 x))) (* sin (* x cos))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos (* 2 x))) (* (* cos x) sin)) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (* (/ (sqrt (cos (* 2 x))) (* sin (* x cos))) (/ (sqrt (cos (* 2 x))) (* (* cos x) sin)))) * * * * [misc]progress: [ 33 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* sin (* x cos))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (/ (/ 1 sin) (* x cos)) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (* (/ (/ 1 sin) (* x cos)) (/ (cos (* 2 x)) (* sin (* x cos))))) * [enter]simplify: Simplifying (/ (cos (* 2 x)) (* sin (* x cos))) * * [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)) (* (* sin cos) x)) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (* (/ 1 (* sin (* x cos))) (/ (cos (* 2 x)) (* (* sin cos) x)))) * * * * [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 (* sin (* x 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 x) sin) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (/ (/ (cos (* 2 x)) (* sin (* x cos))) (* (* cos x) 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)))) (/ (* (* sin (* x cos)) (* sin (* x cos))) (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))) (/ (* (* sin (* x cos)) (* sin (* x cos))) (sqrt (cos (* 2 x)))))) * * * * [misc]progress: [ 40 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* sin (* x 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 x) sin) * [misc]simplify: Simplified (2 2 1) to (λ (x cos sin) (/ (cos (* 2 x)) (pow (* (* cos x) sin) (+ 1 1)))) * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ 1 1) * [misc]simplify: Simplified (2 2 2) to (λ (x cos sin) (/ (cos (* 2 x)) (pow (* sin (* x cos)) (+ 1 1)))) * * * * [misc]progress: [ 42 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* sin (* x cos)) (* sin (* x cos))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (244 enodes) * * [misc]simplify: iters left: 1 (302 enodes) * [exit]simplify: Simplified to (* (* (* cos x) sin) (* (* cos x) sin)) * [misc]simplify: Simplified (2 2 1) to (λ (x cos sin) (/ (cos (* 2 x)) (pow (* (* (* cos x) sin) (* (* cos x) sin)) 1))) * * * * [misc]progress: [ 43 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* sin (* x 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 x) sin) * [misc]simplify: Simplified (2 2 1) to (λ (x cos sin) (/ (cos (* 2 x)) (pow (* (* cos x) sin) (+ 1 1)))) * * * * [misc]progress: [ 45 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* sin (* x cos))) (log (* sin (* x cos)))) * * [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 (61 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (200 enodes) * [exit]simplify: Simplified to (+ (log (* (* cos x) sin)) (log (* (* cos x) sin))) * [misc]simplify: Simplified (2 2 1) to (λ (x cos sin) (/ (cos (* 2 x)) (exp (+ (log (* (* cos x) sin)) (log (* (* cos x) sin)))))) * * * * [misc]progress: [ 47 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* sin (* x cos)) (* sin (* x cos))) (* sin (* x cos))) (* (* (* sin (* x cos)) (* sin (* x cos))) (* sin (* x cos)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (432 enodes) * [exit]simplify: Simplified to (pow (* (* (* cos x) sin) (* (* cos x) sin)) 3) * [misc]simplify: Simplified (2 2 1) to (λ (x cos sin) (/ (cos (* 2 x)) (cbrt (pow (* (* (* cos x) sin) (* (* cos x) sin)) 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 # * [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 2) to (λ (x cos sin) (/ (cos (* 2 x)) (* (* (* sin (* x cos)) sin) (* x cos)))) * * * * [misc]progress: [ 55 / 68 ] simplifiying candidate # * * * * [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)) (* (* sin (* x cos)) 0))) * * * * [misc]progress: [ 58 / 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 (* (* sin cos) x) * [misc]simplify: Simplified (2 2 2) to (λ (x cos sin) (/ (cos (* 2 x)) (* (* sin (* x cos)) (* (* sin cos) x)))) * * * * [misc]progress: [ 59 / 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 (* (* sin cos) x) * [misc]simplify: Simplified (2 2 2) to (λ (x cos sin) (/ (cos (* 2 x)) (* (* sin (* x cos)) (* (* sin cos) 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 (* sin (* x cos))))) * * * * [misc]progress: [ 61 / 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 (* (* sin cos) x) * [misc]simplify: Simplified (2 2 1) to (λ (x cos sin) (/ (cos (* 2 x)) (* (* (* sin cos) x) (* sin (* x cos))))) * * * * [misc]progress: [ 62 / 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 (* (* sin cos) x) * [misc]simplify: Simplified (2 2 1) to (λ (x cos sin) (/ (cos (* 2 x)) (* (* (* sin cos) x) (* sin (* x cos))))) * * * * [misc]progress: [ 63 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ 1 (* (pow x 2) (* (pow cos 2) (pow sin 2)))) (* 2/3 (/ (pow x 2) (* (pow cos 2) (pow sin 2))))) (* 2 (/ 1 (* (pow cos 2) (pow sin 2))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (130 enodes) * * [misc]simplify: iters left: 3 (438 enodes) * [exit]simplify: Simplified to (+ (- (/ (* (* x x) 2/3) (* (* sin cos) (* sin cos))) (/ 2 (* (* sin cos) (* sin cos)))) (/ (/ 1 (* x x)) (* (* sin cos) (* sin cos)))) * [misc]simplify: Simplified (2) to (λ (x cos sin) (+ (- (/ (* (* x x) 2/3) (* (* sin cos) (* sin cos))) (/ 2 (* (* sin cos) (* sin cos)))) (/ (/ 1 (* x x)) (* (* sin cos) (* sin cos))))) * * * * [misc]progress: [ 64 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos (* 2 x)) (* (pow sin 2) (* (pow x 2) (pow cos 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 (111 enodes) * * [misc]simplify: iters left: 2 (223 enodes) * * [misc]simplify: iters left: 1 (362 enodes) * [exit]simplify: Simplified to (/ (cos (* 2 x)) (* (* (* cos sin) x) (* (* cos sin) x))) * [misc]simplify: Simplified (2) to (λ (x cos sin) (/ (cos (* 2 x)) (* (* (* cos sin) x) (* (* cos sin) x)))) * * * * [misc]progress: [ 65 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos (* 2 x)) (* (pow sin 2) (* (pow x 2) (pow cos 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 (111 enodes) * * [misc]simplify: iters left: 2 (223 enodes) * * [misc]simplify: iters left: 1 (362 enodes) * [exit]simplify: Simplified to (/ (cos (* 2 x)) (* (* (* cos sin) x) (* (* cos sin) x))) * [misc]simplify: Simplified (2) to (λ (x cos sin) (/ (cos (* 2 x)) (* (* (* cos sin) x) (* (* cos sin) x)))) * * * * [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 cos 2) (pow sin 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 (103 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (* (* x (* cos sin)) (* x (* cos sin))) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (/ (cos (* 2 x)) (* (* x (* cos sin)) (* x (* cos sin))))) * * * * [misc]progress: [ 68 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* (pow x 2) (* (pow cos 2) (pow sin 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 (103 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (* (* x (* cos sin)) (* x (* cos sin))) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (/ (cos (* 2 x)) (* (* x (* cos sin)) (* x (* cos 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 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (* sin (* x cos)) in (sin x cos) around 0 * [misc]taylor: Taking taylor expansion of (* sin (* x cos)) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [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 (* x cos)) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [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 (* x cos)) 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 (* 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 (* x cos)) 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 (* 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 (* 0 (* x cos)) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 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 (+ (* x 0) (* 0 cos)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* x cos))) into (* x cos) * [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]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 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 (+ (* x 0) (+ (* 0 0) (* 0 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* x cos)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 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 0) (* 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (/ 1 sin) (* (/ 1 x) (/ 1 cos))) in (sin x cos) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 sin) (* (/ 1 x) (/ 1 cos))) in cos * [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)) 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) (* (/ 1 x) (/ 1 cos))) in 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]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) (* (/ 1 x) (/ 1 cos))) in 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]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) (* (/ 1 x) (/ 1 cos))) in 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]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 (/ 1 (* x 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 (- (+ (* (/ 1 cos) (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 cos))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 (* x cos)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 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]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 cos) (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (* 0 (/ 1 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 (* x cos))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 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 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 (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 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 (* x cos)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 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 cos * [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 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* (/ 1 (/ 1 cos)) (* (/ 1 (/ 1 x)) (/ 1 (/ 1 sin))))) into (* x (* cos sin)) * [misc]approximate: Taking taylor expansion of (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos)))) in (sin x cos) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos)))) in cos * [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))) 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)) (* (/ 1 (- x)) (/ 1 (- cos)))) in 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]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)) (* (/ 1 (- x)) (/ 1 (- cos)))) in sin * [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))) 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)) (* (/ 1 (- x)) (/ 1 (- cos)))) in sin * [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))) 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 (/ -1 (* x cos)) * [misc]taylor: Taking taylor expansion of (/ -1 (* x cos)) in x * [misc]taylor: Taking taylor expansion of -1 in x * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* x 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 -1 in cos * [misc]backup-simplify: Simplify -1 into -1 * [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) 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 (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 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 (* x cos)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 cos))) 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 (- (/ 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 (- 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 (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (* 0 (/ -1 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 (* x cos))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 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 0) (* 0 cos)))) 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 (- (/ 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 (- 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 (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 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 (* x cos)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 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 cos * [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 (- (/ 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 0 into 0 * [misc]backup-simplify: Simplify (* -1 (* (/ 1 (/ 1 (- cos))) (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- sin)))))) into (* x (* cos sin)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (* sin (* x cos)) in (sin x cos) around 0 * [misc]taylor: Taking taylor expansion of (* sin (* x cos)) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [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 (* x cos)) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [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 (* x cos)) 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 (* 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 (* x cos)) 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 (* 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 (* 0 (* x cos)) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 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 (+ (* x 0) (* 0 cos)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* x cos))) into (* x cos) * [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]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 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 (+ (* x 0) (+ (* 0 0) (* 0 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* x cos)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 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 0) (* 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (/ 1 sin) (* (/ 1 x) (/ 1 cos))) in (sin x cos) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 sin) (* (/ 1 x) (/ 1 cos))) in cos * [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)) 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) (* (/ 1 x) (/ 1 cos))) in 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]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) (* (/ 1 x) (/ 1 cos))) in 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]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) (* (/ 1 x) (/ 1 cos))) in 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]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 (/ 1 (* x 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 (- (+ (* (/ 1 cos) (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 cos))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 (* x cos)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 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]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 cos) (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (* 0 (/ 1 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 (* x cos))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 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 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 (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 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 (* x cos)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 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 cos * [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 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* (/ 1 (/ 1 cos)) (* (/ 1 (/ 1 x)) (/ 1 (/ 1 sin))))) into (* x (* cos sin)) * [misc]approximate: Taking taylor expansion of (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos)))) in (sin x cos) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos)))) in cos * [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))) 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)) (* (/ 1 (- x)) (/ 1 (- cos)))) in 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]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)) (* (/ 1 (- x)) (/ 1 (- cos)))) in sin * [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))) 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)) (* (/ 1 (- x)) (/ 1 (- cos)))) in sin * [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))) 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 (/ -1 (* x cos)) * [misc]taylor: Taking taylor expansion of (/ -1 (* x cos)) in x * [misc]taylor: Taking taylor expansion of -1 in x * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* x 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 -1 in cos * [misc]backup-simplify: Simplify -1 into -1 * [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) 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 (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 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 (* x cos)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 cos))) 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 (- (/ 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 (- 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 (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (* 0 (/ -1 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 (* x cos))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 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 0) (* 0 cos)))) 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 (- (/ 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 (- 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 (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 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 (* x cos)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 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 cos * [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 (- (/ 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 0 into 0 * [misc]backup-simplify: Simplify (* -1 (* (/ 1 (/ 1 (- cos))) (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- sin)))))) into (* x (* cos sin)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (/ (cos (* 2 x)) (* sin (* x cos))) in (x sin cos) around 0 * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 x)) (* sin (* x cos))) 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 (* x cos)) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [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 (* (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 (* sin 0) into 0 * [misc]backup-simplify: Simplify (+ (* x 1) (* 0 0)) into x * [misc]backup-simplify: Simplify (+ (* sin x) (* 0 0)) 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)) (* sin (* x cos))) 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 (* x cos)) 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 (* 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 (* (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 (* 0 (* x cos)) into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (* 0 cos)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* x cos))) 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)) (* sin (* x cos))) 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 (* x cos)) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [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 (* sin 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 cos)) into cos * [misc]backup-simplify: Simplify (+ (* sin cos) (* 0 0)) into (* sin cos) * [misc]backup-simplify: Simplify (/ 1 (* sin cos)) into (/ 1 (* sin cos)) * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 x)) (* sin (* x cos))) 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 (* x cos)) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [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 (* sin 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 cos)) into cos * [misc]backup-simplify: Simplify (+ (* sin cos) (* 0 0)) into (* sin cos) * [misc]backup-simplify: Simplify (/ 1 (* sin cos)) into (/ 1 (* sin cos)) * [misc]taylor: Taking taylor expansion of (/ 1 (* sin cos)) in sin * [misc]taylor: Taking taylor expansion of (* sin cos) 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 in sin * [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) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (+ (* 0 cos) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* sin cos)) (+ (* (/ 1 (* sin cos)) (/ 0 (* sin cos))))) 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 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 (+ (* -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 (+ (* sin 0) (+ (* 0 0) (+ (* 0 cos) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ (- 2) (* sin cos)) (+ (* (/ 1 (* sin cos)) (/ 0 (* sin cos))) (* 0 (/ 0 (* sin cos))))) into (- (* 2 (/ 1 (* sin cos)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (* sin cos)))) in sin * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* sin cos))) 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 cos)) in sin * [misc]taylor: Taking taylor expansion of (* sin cos) 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 in sin * [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]backup-simplify: Simplify (* 2 (/ 1 cos)) into (/ 2 cos) * [misc]backup-simplify: Simplify (- (/ 2 cos)) into (- (* 2 (/ 1 cos))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 cos))) in cos * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 cos)) 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) 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 (* 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 cos * [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 (+ (* 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 (+ (* sin 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 cos) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* sin cos)) (+ (* (/ 1 (* sin cos)) (/ 0 (* sin cos))) (* 0 (/ 0 (* sin cos))) (* (- (* 2 (/ 1 (* sin cos)))) (/ 0 (* sin cos))))) 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 cos))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 cos))) into 0 * [misc]backup-simplify: Simplify (- 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 cos * [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 (- (+ (* 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 cos) (* (/ 1 sin) x))) (* 1 (* (/ 1 cos) (* (/ 1 sin) (/ 1 x))))) into (- (/ 1 (* x (* cos sin))) (* 2 (/ x (* cos sin)))) * [misc]approximate: Taking taylor expansion of (/ (cos (* 2 (/ 1 x))) (* (/ 1 sin) (* (/ 1 x) (/ 1 cos)))) in (x sin cos) around 0 * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 x))) (* (/ 1 sin) (* (/ 1 x) (/ 1 cos)))) 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) (* (/ 1 x) (/ 1 cos))) in cos * [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)) 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 (* (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 sin) (/ 1 x)) 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 sin) (* (/ 1 x) (/ 1 cos)))) 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) (* (/ 1 x) (/ 1 cos))) in 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]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 (* (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 (/ 1 (* x cos))) 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 sin) (* (/ 1 x) (/ 1 cos)))) 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) (* (/ 1 x) (/ 1 cos))) in 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]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 sin) (/ 1 cos)) into (/ 1 (* sin cos)) * [misc]backup-simplify: Simplify (/ (cos (/ 2 x)) (/ 1 (* sin cos))) into (* sin (* cos (cos (/ 2 x)))) * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 x))) (* (/ 1 sin) (* (/ 1 x) (/ 1 cos)))) 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) (* (/ 1 x) (/ 1 cos))) in 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]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 sin) (/ 1 cos)) into (/ 1 (* sin cos)) * [misc]backup-simplify: Simplify (/ (cos (/ 2 x)) (/ 1 (* sin cos))) into (* sin (* cos (cos (/ 2 x)))) * [misc]taylor: Taking taylor expansion of (* sin (* cos (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 (cos (/ 2 x))) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [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 (+ (* cos 0) (* 0 (cos (/ 2 x)))) into 0 * [misc]backup-simplify: Simplify (* cos (cos (/ 2 x))) into (* cos (cos (/ 2 x))) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* cos (cos (/ 2 x))))) into (* cos (cos (/ 2 x))) * [misc]taylor: Taking taylor expansion of (* cos (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 (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 (+ (* 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 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 sin) (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 sin) 0) (* 0 (/ 1 cos))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (* sin cos))) (+ (* (* sin (* cos (cos (/ 2 x)))) (/ 0 (/ 1 (* sin cos)))))) 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 cos * [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 0) (+ (* 0 0) (* 0 (cos (/ 2 x))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* cos (cos (/ 2 x)))))) 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 (/ (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 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 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 sin) 0) (+ (* 0 0) (* 0 (/ 1 cos)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (* sin cos))) (+ (* (* sin (* cos (cos (/ 2 x)))) (/ 0 (/ 1 (* sin cos)))) (* 0 (/ 0 (/ 1 (* sin cos)))))) 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 cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 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 (* -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 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 2 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* cos (cos (/ 2 x))))))) 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 (* (cos (/ 2 (/ 1 x))) (* (/ 1 cos) (* (/ 1 sin) (/ 1 x)))) into (/ (cos (* 2 x)) (* sin (* x cos))) * [misc]approximate: Taking taylor expansion of (/ (cos (* 2 (/ 1 (- x)))) (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos))))) in (x sin cos) around 0 * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 (- x)))) (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos))))) 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)) (* (/ 1 (- x)) (/ 1 (- cos)))) in cos * [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))) 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 (* (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 sin) (/ 1 x)) 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 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos))))) 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)) (* (/ 1 (- x)) (/ 1 (- cos)))) in sin * [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))) 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 (* (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 (/ 1 (* x cos))) 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 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos))))) 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)) (* (/ 1 (- x)) (/ 1 (- cos)))) in 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]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 sin) (/ 1 cos)) into (/ -1 (* sin cos)) * [misc]backup-simplify: Simplify (/ (cos (/ -2 x)) (/ -1 (* sin cos))) into (* -1 (* (cos (/ -2 x)) (* sin cos))) * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 (- x)))) (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos))))) 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)) (* (/ 1 (- x)) (/ 1 (- cos)))) in 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]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 sin) (/ 1 cos)) into (/ -1 (* sin cos)) * [misc]backup-simplify: Simplify (/ (cos (/ -2 x)) (/ -1 (* sin cos))) into (* -1 (* (cos (/ -2 x)) (* sin cos))) * [misc]taylor: Taking taylor expansion of (* -1 (* (cos (/ -2 x)) (* sin cos))) in sin * [misc]taylor: Taking taylor expansion of -1 in sin * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (cos (/ -2 x)) (* sin cos)) 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 cos) 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 in sin * [misc]backup-simplify: Simplify cos into cos * [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)) into cos * [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 cos) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) cos) (* 0 0)) into (* (cos (/ -2 x)) cos) * [misc]backup-simplify: Simplify (* (cos (/ -2 x)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (* (cos (/ -2 x)) cos)) (* 0 0)) into (- (* (cos (/ -2 x)) cos)) * [misc]taylor: Taking taylor expansion of (- (* (cos (/ -2 x)) cos)) in cos * [misc]taylor: Taking taylor expansion of (* (cos (/ -2 x)) cos) 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 in cos * [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 (- 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 sin) 0) (* 0 (/ 1 cos))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 (* sin cos))) (+ (* (* -1 (* (cos (/ -2 x)) (* sin cos))) (/ 0 (/ -1 (* sin cos)))))) 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 cos * [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 (+ (* -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 cos) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 (* (cos (/ -2 x)) cos)) (* 0 0))) 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 (/ (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 (- 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 (- 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 (+ (* (/ -1 sin) 0) (+ (* 0 0) (* 0 (/ 1 cos)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 (* sin cos))) (+ (* (* -1 (* (cos (/ -2 x)) (* sin cos))) (/ 0 (/ -1 (* sin cos)))) (* 0 (/ 0 (/ -1 (* sin cos)))))) 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 cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 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 0) (+ (* 1 0) (+ (* 0 0) (* 0 cos)))) 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 cos) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (* (cos (/ -2 x)) cos)) (* 0 0)))) 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 (* (- (cos (/ -2 (/ 1 (- x))))) (* (/ 1 (- cos)) (* (/ 1 (- sin)) (/ 1 (- x))))) into (/ (cos (* 2 x)) (* sin (* x cos))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ 1 (* sin (* x cos))) in (sin x cos) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (* sin (* x cos))) in cos * [misc]taylor: Taking taylor expansion of (* sin (* x cos)) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [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 (* sin 0) into 0 * [misc]backup-simplify: Simplify (+ (* x 1) (* 0 0)) into x * [misc]backup-simplify: Simplify (+ (* sin x) (* 0 0)) into (* x sin) * [misc]backup-simplify: Simplify (/ 1 (* x sin)) into (/ 1 (* x sin)) * [misc]taylor: Taking taylor expansion of (/ 1 (* sin (* x cos))) in x * [misc]taylor: Taking taylor expansion of (* sin (* x cos)) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [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 (* sin 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 cos)) into cos * [misc]backup-simplify: Simplify (+ (* sin cos) (* 0 0)) into (* sin cos) * [misc]backup-simplify: Simplify (/ 1 (* sin cos)) into (/ 1 (* sin cos)) * [misc]taylor: Taking taylor expansion of (/ 1 (* sin (* x cos))) in sin * [misc]taylor: Taking taylor expansion of (* sin (* x cos)) 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 (* 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 (* 0 (* x cos)) into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (* 0 cos)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* x cos))) into (* x cos) * [misc]backup-simplify: Simplify (/ 1 (* x cos)) into (/ 1 (* x cos)) * [misc]taylor: Taking taylor expansion of (/ 1 (* sin (* x cos))) in sin * [misc]taylor: Taking taylor expansion of (* sin (* x cos)) 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 (* 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 (* 0 (* x cos)) into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (* 0 cos)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* x cos))) into (* x cos) * [misc]backup-simplify: Simplify (/ 1 (* x cos)) into (/ 1 (* x 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 (+ (* x 0) (+ (* 0 0) (* 0 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* x cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* x cos)) (/ 0 (* x cos))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 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]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 (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* x cos))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* x cos)) (/ 0 (* x cos))) (* 0 (/ 0 (* x cos))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 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 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 (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* x cos)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* x cos)) (/ 0 (* x cos))) (* 0 (/ 0 (* x cos))) (* 0 (/ 0 (* x cos))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 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 cos * [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 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* (/ 1 cos) (* (/ 1 x) (/ 1 sin)))) into (/ 1 (* x (* cos sin))) * [misc]approximate: Taking taylor expansion of (/ 1 (* (/ 1 sin) (* (/ 1 x) (/ 1 cos)))) in (sin x cos) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 sin) (* (/ 1 x) (/ 1 cos)))) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 sin) (* (/ 1 x) (/ 1 cos))) in cos * [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)) 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 sin) (/ 1 x)) into (/ 1 (* x sin)) * [misc]backup-simplify: Simplify (/ 1 (/ 1 (* x sin))) into (* x sin) * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 sin) (* (/ 1 x) (/ 1 cos)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 sin) (* (/ 1 x) (/ 1 cos))) in 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]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 sin) (/ 1 cos)) into (/ 1 (* sin cos)) * [misc]backup-simplify: Simplify (/ 1 (/ 1 (* sin cos))) into (* sin cos) * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 sin) (* (/ 1 x) (/ 1 cos)))) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 sin) (* (/ 1 x) (/ 1 cos))) in 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]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 (/ 1 (* x cos)) * [misc]backup-simplify: Simplify (/ 1 (/ 1 (* x cos))) into (* x cos) * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 sin) (* (/ 1 x) (/ 1 cos)))) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 sin) (* (/ 1 x) (/ 1 cos))) in 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]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 (/ 1 (* x cos)) * [misc]backup-simplify: Simplify (/ 1 (/ 1 (* x cos))) into (* x cos) * [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 0) (* 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 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 cos))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 (* x cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* x cos) (/ 0 (/ 1 (* x cos)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 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 0) (+ (* 1 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 cos) (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (* 0 (/ 1 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 (* x cos))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* x cos) (/ 0 (/ 1 (* x cos)))) (* 0 (/ 0 (/ 1 (* x cos)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 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]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 0) (+ (* 1 0) (+ (* 0 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 (* (/ 1 cos) (* (/ 1 x) (/ 1 sin)))) into (/ 1 (* x (* cos sin))) * [misc]approximate: Taking taylor expansion of (/ 1 (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos))))) in (sin x cos) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos))))) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos)))) in cos * [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))) 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 sin) (/ 1 x)) into (/ -1 (* x sin)) * [misc]backup-simplify: Simplify (/ 1 (/ -1 (* x sin))) into (* -1 (* x sin)) * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos))))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos)))) in 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]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 sin) (/ 1 cos)) into (/ -1 (* sin cos)) * [misc]backup-simplify: Simplify (/ 1 (/ -1 (* sin cos))) into (* -1 (* sin cos)) * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos))))) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos)))) in sin * [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))) 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 (/ -1 (* x cos)) * [misc]backup-simplify: Simplify (/ 1 (/ -1 (* x cos))) into (* -1 (* x cos)) * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos))))) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos)))) in sin * [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))) 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 (/ -1 (* x cos)) * [misc]backup-simplify: Simplify (/ 1 (/ -1 (* x cos))) into (* -1 (* x cos)) * [misc]taylor: Taking taylor expansion of (* -1 (* x cos)) in x * [misc]taylor: Taking taylor expansion of -1 in x * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* x 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 0) (* 1 cos)) into cos * [misc]backup-simplify: Simplify (* 0 cos) into 0 * [misc]backup-simplify: Simplify (+ (* -1 cos) (* 0 0)) into (- 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 (- 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 (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 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 (* x cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 (* x cos)) (/ 0 (/ -1 (* x cos)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 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 0) (+ (* 1 0) (* 0 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 cos) (* 0 0))) 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 (- (+ (* (/ -1 cos) (/ 0 (- cos))) (* 0 (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (* 0 (/ -1 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 (* x cos))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 (* x cos)) (/ 0 (/ -1 (* x cos)))) (* 0 (/ 0 (/ -1 (* x cos)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 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]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 0) (+ (* 1 0) (+ (* 0 0) (* 0 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 cos) (* 0 0)))) 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)) (/ 1 (- sin))))) into (/ 1 (* x (* cos sin))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (cos (* 2 x))) (log (* sin (* x cos)))) * * [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 (120 enodes) * * [misc]simplify: iters left: 1 (216 enodes) * [exit]simplify: Simplified to (- (log (cos (* 2 x))) (log (* (* sin cos) x))) * [misc]simplify: Simplified (2 2 1) to (λ (x cos sin) (* (/ 1 (* sin (* x cos))) (exp (- (log (cos (* 2 x))) (log (* (* sin cos) x)))))) * * * * [misc]progress: [ 21 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (cos (* 2 x)) (cos (* 2 x))) (cos (* 2 x))) (* (* (* sin (* x cos)) (* sin (* x cos))) (* sin (* x cos)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (137 enodes) * [exit]simplify: Simplified to (pow (/ (cos (* 2 x)) (* (* cos sin) x)) 3) * [misc]simplify: Simplified (2 2 1) to (λ (x cos sin) (* (/ 1 (* sin (* x cos))) (cbrt (pow (/ (cos (* 2 x)) (* (* cos sin) x)) 3)))) * * * * [misc]progress: [ 24 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cos x) (cos x)) (* sin (* x cos))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (179 enodes) * * [misc]simplify: iters left: 1 (203 enodes) * [exit]simplify: Simplified to (/ (/ (cos x) (* sin x)) (/ cos (cos x))) * [misc]simplify: Simplified (2 2 1) to (λ (x cos sin) (* (/ 1 (* sin (* x cos))) (- (/ (/ (cos x) (* sin x)) (/ cos (cos x))) (/ (* (sin x) (sin x)) (* sin (* x cos)))))) * * * * [misc]progress: [ 29 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) sin) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (cos (* 2 x))) sin) (cbrt (cos (* 2 x)))) * [misc]simplify: Simplified (2 2 1) to (λ (x cos sin) (* (/ 1 (* sin (* x cos))) (* (* (/ (cbrt (cos (* 2 x))) sin) (cbrt (cos (* 2 x)))) (/ (cbrt (cos (* 2 x))) (* x cos))))) * [enter]simplify: Simplifying (/ (cbrt (cos (* 2 x))) (* x cos)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos (* 2 x))) (* cos x)) * [misc]simplify: Simplified (2 2 2) to (λ (x cos sin) (* (/ 1 (* sin (* x cos))) (* (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) sin) (/ (cbrt (cos (* 2 x))) (* cos x))))) * * * * [misc]progress: [ 30 / 64 ] 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 2 1) to (λ (x cos sin) (* (/ 1 (* sin (* x cos))) (* (/ (sqrt (cos (* 2 x))) sin) (/ (sqrt (cos (* 2 x))) (* x cos))))) * [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 2 2) to (λ (x cos sin) (* (/ 1 (* sin (* x cos))) (* (/ (sqrt (cos (* 2 x))) sin) (/ (sqrt (cos (* 2 x))) (* cos x))))) * * * * [misc]progress: [ 31 / 64 ] 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 2 1) to (λ (x cos sin) (* (/ 1 (* sin (* x cos))) (* (/ 1 sin) (/ (cos (* 2 x)) (* x cos))))) * [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 2 2) to (λ (x cos sin) (* (/ 1 (* sin (* x cos))) (* (/ 1 sin) (/ (cos (* 2 x)) (* x cos))))) * * * * [misc]progress: [ 32 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 64 ] 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 2) to (λ (x cos sin) (* (/ 1 (* sin (* x cos))) (/ (/ (cos (* 2 x)) sin) (* x cos)))) * * * * [misc]progress: [ 36 / 64 ] 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 2 1) to (λ (x cos sin) (* (/ 1 (* sin (* x cos))) (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) (/ (* sin (* x cos)) (cbrt (cos (* 2 x))))))) * * * * [misc]progress: [ 37 / 64 ] 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 2 1) to (λ (x cos sin) (* (/ 1 (* sin (* x cos))) (/ (sqrt (cos (* 2 x))) (/ (* sin (* x cos)) (sqrt (cos (* 2 x))))))) * * * * [misc]progress: [ 38 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (- 1) * [misc]simplify: Simplified (2 1 2) to (λ (x cos sin) (* (pow (* sin (* x cos)) (- 1)) (/ (cos (* 2 x)) (* sin (* x cos))))) * * * * [misc]progress: [ 41 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 64 ] 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 1 2) to (λ (x cos sin) (* (/ (/ 1 sin) (* x cos)) (/ (cos (* 2 x)) (* sin (* x cos))))) * * * * [misc]progress: [ 53 / 64 ] 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) (* (/ 1 (* sin (* x cos))) (/ (cos (* 2 x)) 0))) * * * * [misc]progress: [ 54 / 64 ] 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 (* (* sin cos) x) * [misc]simplify: Simplified (2 2 2) to (λ (x cos sin) (* (/ 1 (* sin (* x cos))) (/ (cos (* 2 x)) (* (* sin cos) x)))) * * * * [misc]progress: [ 55 / 64 ] 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 (* (* sin cos) x) * [misc]simplify: Simplified (2 2 2) to (λ (x cos sin) (* (/ 1 (* sin (* x cos))) (/ (cos (* 2 x)) (* (* sin cos) x)))) * * * * [misc]progress: [ 56 / 64 ] 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) (* (/ 1 0) (/ (cos (* 2 x)) (* sin (* x cos))))) * * * * [misc]progress: [ 57 / 64 ] 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 (* (* sin cos) x) * [misc]simplify: Simplified (2 1 2) to (λ (x cos sin) (* (/ 1 (* (* sin cos) x)) (/ (cos (* 2 x)) (* sin (* x cos))))) * * * * [misc]progress: [ 58 / 64 ] 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 (* (* sin cos) x) * [misc]simplify: Simplified (2 1 2) to (λ (x cos sin) (* (/ 1 (* (* sin cos) x)) (/ (cos (* 2 x)) (* sin (* x cos))))) * * * * [misc]progress: [ 59 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 (* x (* cos sin))) (* 2 (/ x (* cos sin)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (174 enodes) * * [misc]simplify: iters left: 1 (210 enodes) * [exit]simplify: Simplified to (- (/ (/ 1 x) (* cos sin)) (/ (/ x cos) (/ sin 2))) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (* (/ 1 (* sin (* x cos))) (- (/ (/ 1 x) (* cos sin)) (/ (/ x cos) (/ sin 2))))) * * * * [misc]progress: [ 60 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos (* 2 x)) (* sin (* x cos))) * * [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)) (* (* sin cos) x)) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (* (/ 1 (* sin (* x cos))) (/ (cos (* 2 x)) (* (* sin cos) x)))) * * * * [misc]progress: [ 61 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos (* 2 x)) (* sin (* x cos))) * * [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)) (* (* sin cos) x)) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (* (/ 1 (* sin (* x cos))) (/ (cos (* 2 x)) (* (* sin cos) x)))) * * * * [misc]progress: [ 62 / 64 ] 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 (21 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (/ (/ 1 x) (* cos sin)) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (* (/ (/ 1 x) (* cos sin)) (/ (cos (* 2 x)) (* sin (* x cos))))) * * * * [misc]progress: [ 63 / 64 ] 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 (21 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (/ (/ 1 x) (* cos sin)) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (* (/ (/ 1 x) (* cos sin)) (/ (cos (* 2 x)) (* sin (* x cos))))) * * * * [misc]progress: [ 64 / 64 ] 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 (21 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (/ (/ 1 x) (* cos sin)) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (* (/ (/ 1 x) (* cos sin)) (/ (cos (* 2 x)) (* sin (* x 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 2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2 2) * [misc]approximate: Taking taylor expansion of (* sin (* x cos)) in (sin x cos) around 0 * [misc]taylor: Taking taylor expansion of (* sin (* x cos)) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [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 (* x cos)) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [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 (* x cos)) 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 (* 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 (* x cos)) 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 (* 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 (* 0 (* x cos)) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 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 (+ (* x 0) (* 0 cos)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* x cos))) into (* x cos) * [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]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 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 (+ (* x 0) (+ (* 0 0) (* 0 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* x cos)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 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 0) (* 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (/ 1 sin) (* (/ 1 x) (/ 1 cos))) in (sin x cos) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 sin) (* (/ 1 x) (/ 1 cos))) in cos * [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)) 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) (* (/ 1 x) (/ 1 cos))) in 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]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) (* (/ 1 x) (/ 1 cos))) in 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]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) (* (/ 1 x) (/ 1 cos))) in 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]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 (/ 1 (* x 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 (- (+ (* (/ 1 cos) (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 cos))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 (* x cos)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 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]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 cos) (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (* 0 (/ 1 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 (* x cos))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 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 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 (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 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 (* x cos)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 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 cos * [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 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* (/ 1 (/ 1 cos)) (* (/ 1 (/ 1 x)) (/ 1 (/ 1 sin))))) into (* x (* cos sin)) * [misc]approximate: Taking taylor expansion of (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos)))) in (sin x cos) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos)))) in cos * [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))) 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)) (* (/ 1 (- x)) (/ 1 (- cos)))) in 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]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)) (* (/ 1 (- x)) (/ 1 (- cos)))) in sin * [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))) 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)) (* (/ 1 (- x)) (/ 1 (- cos)))) in sin * [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))) 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 (/ -1 (* x cos)) * [misc]taylor: Taking taylor expansion of (/ -1 (* x cos)) in x * [misc]taylor: Taking taylor expansion of -1 in x * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* x 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 -1 in cos * [misc]backup-simplify: Simplify -1 into -1 * [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) 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 (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 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 (* x cos)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 cos))) 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 (- (/ 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 (- 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 (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (* 0 (/ -1 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 (* x cos))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 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 0) (* 0 cos)))) 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 (- (/ 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 (- 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 (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 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 (* x cos)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 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 cos * [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 (- (/ 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 0 into 0 * [misc]backup-simplify: Simplify (* -1 (* (/ 1 (/ 1 (- cos))) (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- sin)))))) into (* x (* cos sin)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2 1) * [misc]approximate: Taking taylor expansion of (* sin (* x cos)) in (sin x cos) around 0 * [misc]taylor: Taking taylor expansion of (* sin (* x cos)) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [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 (* x cos)) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [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 (* x cos)) 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 (* 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 (* x cos)) 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 (* 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 (* 0 (* x cos)) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 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 (+ (* x 0) (* 0 cos)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* x cos))) into (* x cos) * [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]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 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 (+ (* x 0) (+ (* 0 0) (* 0 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* x cos)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 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 0) (* 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (/ 1 sin) (* (/ 1 x) (/ 1 cos))) in (sin x cos) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 sin) (* (/ 1 x) (/ 1 cos))) in cos * [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)) 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) (* (/ 1 x) (/ 1 cos))) in 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]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) (* (/ 1 x) (/ 1 cos))) in 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]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) (* (/ 1 x) (/ 1 cos))) in 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]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 (/ 1 (* x 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 (- (+ (* (/ 1 cos) (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 cos))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 (* x cos)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 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]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 cos) (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (* 0 (/ 1 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 (* x cos))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 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 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 (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 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 (* x cos)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 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 cos * [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 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* (/ 1 (/ 1 cos)) (* (/ 1 (/ 1 x)) (/ 1 (/ 1 sin))))) into (* x (* cos sin)) * [misc]approximate: Taking taylor expansion of (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos)))) in (sin x cos) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos)))) in cos * [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))) 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)) (* (/ 1 (- x)) (/ 1 (- cos)))) in 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]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)) (* (/ 1 (- x)) (/ 1 (- cos)))) in sin * [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))) 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)) (* (/ 1 (- x)) (/ 1 (- cos)))) in sin * [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))) 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 (/ -1 (* x cos)) * [misc]taylor: Taking taylor expansion of (/ -1 (* x cos)) in x * [misc]taylor: Taking taylor expansion of -1 in x * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* x 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 -1 in cos * [misc]backup-simplify: Simplify -1 into -1 * [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) 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 (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 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 (* x cos)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 cos))) 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 (- (/ 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 (- 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 (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (* 0 (/ -1 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 (* x cos))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 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 0) (* 0 cos)))) 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 (- (/ 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 (- 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 (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 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 (* x cos)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 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 cos * [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 (- (/ 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 0 into 0 * [misc]backup-simplify: Simplify (* -1 (* (/ 1 (/ 1 (- cos))) (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- sin)))))) into (* x (* cos sin)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (/ 1 (* (* sin (* x cos)) (* sin (* x cos)))) in (sin x cos) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (* (* sin (* x cos)) (* sin (* x cos)))) in cos * [misc]taylor: Taking taylor expansion of (* (* sin (* x cos)) (* sin (* x cos))) in cos * [misc]taylor: Taking taylor expansion of (* sin (* x cos)) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [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 (* x cos)) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [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 (* sin 0) into 0 * [misc]backup-simplify: Simplify (* x 0) into 0 * [misc]backup-simplify: Simplify (* sin 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* x 1) (* 0 0)) into x * [misc]backup-simplify: Simplify (+ (* sin x) (* 0 0)) into (* x sin) * [misc]backup-simplify: Simplify (+ (* x 1) (* 0 0)) into x * [misc]backup-simplify: Simplify (+ (* sin x) (* 0 0)) 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 (+ (* sin 0) (+ (* 0 x) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (+ (* 0 x) (* 0 0))) 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 (/ 1 (* (pow x 2) (pow sin 2))) into (/ 1 (* (pow x 2) (pow sin 2))) * [misc]taylor: Taking taylor expansion of (/ 1 (* (* sin (* x cos)) (* sin (* x cos)))) in x * [misc]taylor: Taking taylor expansion of (* (* sin (* x cos)) (* sin (* x cos))) in x * [misc]taylor: Taking taylor expansion of (* sin (* x cos)) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [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 (* x cos)) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [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 (* sin 0) into 0 * [misc]backup-simplify: Simplify (* 0 cos) into 0 * [misc]backup-simplify: Simplify (* sin 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 cos)) into cos * [misc]backup-simplify: Simplify (+ (* sin cos) (* 0 0)) into (* sin cos) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 cos)) into cos * [misc]backup-simplify: Simplify (+ (* sin cos) (* 0 0)) into (* sin cos) * [misc]backup-simplify: Simplify (+ (* 0 (* sin cos)) (* (* sin cos) 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (+ (* 0 cos) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (+ (* 0 cos) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (* sin cos) (* sin cos)) (* 0 0))) into (* (pow sin 2) (pow cos 2)) * [misc]backup-simplify: Simplify (/ 1 (* (pow sin 2) (pow cos 2))) into (/ 1 (* (pow sin 2) (pow cos 2))) * [misc]taylor: Taking taylor expansion of (/ 1 (* (* sin (* x cos)) (* sin (* x cos)))) in sin * [misc]taylor: Taking taylor expansion of (* (* sin (* x cos)) (* sin (* x cos))) in sin * [misc]taylor: Taking taylor expansion of (* sin (* x cos)) 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 (* 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 (* x cos)) 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 (* 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 (* 0 (* x cos)) into 0 * [misc]backup-simplify: Simplify (* x cos) into (* x cos) * [misc]backup-simplify: Simplify (* 0 (* x cos)) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (* 0 cos)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* x cos))) into (* x cos) * [misc]backup-simplify: Simplify (+ (* x 0) (* 0 cos)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* x cos))) 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 (+ (* 0 0) (+ (* 1 0) (* 0 (* x cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (+ (* 0 0) (* 0 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* x cos)))) 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 (/ 1 (* (pow x 2) (pow cos 2))) into (/ 1 (* (pow x 2) (pow cos 2))) * [misc]taylor: Taking taylor expansion of (/ 1 (* (* sin (* x cos)) (* sin (* x cos)))) in sin * [misc]taylor: Taking taylor expansion of (* (* sin (* x cos)) (* sin (* x cos))) in sin * [misc]taylor: Taking taylor expansion of (* sin (* x cos)) 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 (* 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 (* x cos)) 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 (* 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 (* 0 (* x cos)) into 0 * [misc]backup-simplify: Simplify (* x cos) into (* x cos) * [misc]backup-simplify: Simplify (* 0 (* x cos)) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (* 0 cos)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* x cos))) into (* x cos) * [misc]backup-simplify: Simplify (+ (* x 0) (* 0 cos)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* x cos))) 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 (+ (* 0 0) (+ (* 1 0) (* 0 (* x cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (+ (* 0 0) (* 0 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* x cos)))) 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 (/ 1 (* (pow x 2) (pow cos 2))) into (/ 1 (* (pow x 2) (pow cos 2))) * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow x 2) (pow cos 2))) in x * [misc]taylor: Taking taylor expansion of (* (pow x 2) (pow cos 2)) in x * [misc]taylor: Taking taylor expansion of (pow x 2) in x * [misc]taylor: Taking taylor expansion of (pow cos 2) in x * [misc]taylor: Taking taylor expansion of (exp (* 2 (log cos))) in x * [misc]taylor: Taking taylor expansion of (* 2 (log cos)) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (log cos) into (log cos) * [misc]backup-simplify: Simplify (* 2 (log cos)) into (* 2 (log cos)) * [misc]backup-simplify: Simplify (exp (* 2 (log cos))) into (pow cos 2) * [misc]backup-simplify: Simplify (* 1 (pow cos 2)) into (pow cos 2) * [misc]backup-simplify: Simplify (/ 1 (pow cos 2)) into (/ 1 (pow cos 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow cos 2)) in cos * [misc]taylor: Taking taylor expansion of (pow cos 2) in cos * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* x cos))))) into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* x cos))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (* x cos) 0) (+ (* 0 (* x cos)) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (pow x 2) (pow cos 2))) (/ 0 (* (pow x 2) (pow cos 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow cos 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log cos))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log cos))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow cos 2))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow cos 2)) (/ 0 (pow cos 2))))) 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 (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* x cos)))))) into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* x cos)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (* x cos) 0) (+ (* 0 0) (+ (* 0 (* x cos)) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (pow x 2) (pow cos 2))) (/ 0 (* (pow x 2) (pow cos 2)))) (* 0 (/ 0 (* (pow x 2) (pow cos 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow cos 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow cos 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log cos)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log cos))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow cos 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow cos 2)) (/ 0 (pow cos 2))) (* 0 (/ 0 (pow cos 2))))) 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)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* x cos))))))) into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* x cos))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (* x cos) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (* x cos)) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (pow x 2) (pow cos 2))) (/ 0 (* (pow x 2) (pow cos 2)))) (* 0 (/ 0 (* (pow x 2) (pow cos 2)))) (* 0 (/ 0 (* (pow x 2) (pow cos 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow cos 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow cos 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow cos 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log cos))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log cos))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow cos 2))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow cos 2)) (/ 0 (pow cos 2))) (* 0 (/ 0 (pow cos 2))) (* 0 (/ 0 (pow cos 2))))) 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)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* x cos)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* x cos)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (* x cos) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (* x cos)) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (pow x 2) (pow cos 2))) (/ 0 (* (pow x 2) (pow cos 2)))) (* 0 (/ 0 (* (pow x 2) (pow cos 2)))) (* 0 (/ 0 (* (pow x 2) (pow cos 2)))) (* 0 (/ 0 (* (pow x 2) (pow cos 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 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 cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow cos 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow cos 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow cos 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow cos 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow cos 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log cos)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log cos))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow cos 2)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow cos 2)) (/ 0 (pow cos 2))) (* 0 (/ 0 (pow cos 2))) (* 0 (/ 0 (pow cos 2))) (* 0 (/ 0 (pow cos 2))))) 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 (pow (* (/ 1 cos) (* (/ 1 x) (/ 1 sin))) 2)) into (/ 1 (* (pow x 2) (* (pow cos 2) (pow sin 2)))) * [misc]approximate: Taking taylor expansion of (/ 1 (* (* (/ 1 sin) (* (/ 1 x) (/ 1 cos))) (* (/ 1 sin) (* (/ 1 x) (/ 1 cos))))) in (sin x cos) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (* (* (/ 1 sin) (* (/ 1 x) (/ 1 cos))) (* (/ 1 sin) (* (/ 1 x) (/ 1 cos))))) in cos * [misc]taylor: Taking taylor expansion of (* (* (/ 1 sin) (* (/ 1 x) (/ 1 cos))) (* (/ 1 sin) (* (/ 1 x) (/ 1 cos)))) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 sin) (* (/ 1 x) (/ 1 cos))) in cos * [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)) 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) (* (/ 1 x) (/ 1 cos))) in cos * [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)) 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 sin) (/ 1 x)) into (/ 1 (* x sin)) * [misc]backup-simplify: Simplify (* (/ 1 x) 1) into (/ 1 x) * [misc]backup-simplify: Simplify (* (/ 1 sin) (/ 1 x)) 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 (/ 1 (/ 1 (* (pow x 2) (pow sin 2)))) into (* (pow x 2) (pow sin 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (* (* (/ 1 sin) (* (/ 1 x) (/ 1 cos))) (* (/ 1 sin) (* (/ 1 x) (/ 1 cos))))) in x * [misc]taylor: Taking taylor expansion of (* (* (/ 1 sin) (* (/ 1 x) (/ 1 cos))) (* (/ 1 sin) (* (/ 1 x) (/ 1 cos)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 sin) (* (/ 1 x) (/ 1 cos))) in 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]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) (* (/ 1 x) (/ 1 cos))) in 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]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 sin) (/ 1 cos)) into (/ 1 (* sin cos)) * [misc]backup-simplify: Simplify (* 1 (/ 1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 sin) (/ 1 cos)) into (/ 1 (* sin cos)) * [misc]backup-simplify: Simplify (* (/ 1 (* sin cos)) (/ 1 (* sin cos))) into (/ 1 (* (pow sin 2) (pow cos 2))) * [misc]backup-simplify: Simplify (/ 1 (/ 1 (* (pow sin 2) (pow cos 2)))) into (* (pow sin 2) (pow cos 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (* (* (/ 1 sin) (* (/ 1 x) (/ 1 cos))) (* (/ 1 sin) (* (/ 1 x) (/ 1 cos))))) in sin * [misc]taylor: Taking taylor expansion of (* (* (/ 1 sin) (* (/ 1 x) (/ 1 cos))) (* (/ 1 sin) (* (/ 1 x) (/ 1 cos)))) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 sin) (* (/ 1 x) (/ 1 cos))) in 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]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) (* (/ 1 x) (/ 1 cos))) in 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]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 (/ 1 (* x cos)) * [misc]backup-simplify: Simplify (* (/ 1 x) (/ 1 cos)) into (/ 1 (* x cos)) * [misc]backup-simplify: Simplify (* 1 (/ 1 (* x cos))) 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 (/ 1 (/ 1 (* (pow x 2) (pow cos 2)))) into (* (pow x 2) (pow cos 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (* (* (/ 1 sin) (* (/ 1 x) (/ 1 cos))) (* (/ 1 sin) (* (/ 1 x) (/ 1 cos))))) in sin * [misc]taylor: Taking taylor expansion of (* (* (/ 1 sin) (* (/ 1 x) (/ 1 cos))) (* (/ 1 sin) (* (/ 1 x) (/ 1 cos)))) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 sin) (* (/ 1 x) (/ 1 cos))) in 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]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) (* (/ 1 x) (/ 1 cos))) in 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]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 (/ 1 (* x cos)) * [misc]backup-simplify: Simplify (* (/ 1 x) (/ 1 cos)) into (/ 1 (* x cos)) * [misc]backup-simplify: Simplify (* 1 (/ 1 (* x cos))) 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 (/ 1 (/ 1 (* (pow x 2) (pow cos 2)))) into (* (pow x 2) (pow cos 2)) * [misc]taylor: Taking taylor expansion of (* (pow x 2) (pow cos 2)) in x * [misc]taylor: Taking taylor expansion of (pow x 2) in x * [misc]taylor: Taking taylor expansion of (pow cos 2) in x * [misc]taylor: Taking taylor expansion of (exp (* 2 (log cos))) in x * [misc]taylor: Taking taylor expansion of (* 2 (log cos)) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (log cos) into (log cos) * [misc]backup-simplify: Simplify (* 2 (log cos)) into (* 2 (log cos)) * [misc]backup-simplify: Simplify (exp (* 2 (log cos))) into (pow cos 2) * [misc]backup-simplify: Simplify (* 1 (pow cos 2)) into (pow cos 2) * [misc]taylor: Taking taylor expansion of (pow cos 2) in cos * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 cos))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 (* x cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 cos))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 (* x cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* x cos)) 0) (* 0 (/ 1 (* x cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* (pow x 2) (pow cos 2)) (/ 0 (/ 1 (* (pow x 2) (pow cos 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 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 (/ (* (pow (* 1 0) 1)) (pow cos 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log cos))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log cos))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow cos 2))) 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 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (* 0 (/ 1 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 (* x cos))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (* 0 (/ 1 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 (* x cos))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* x cos)) 0) (+ (* 0 0) (* 0 (/ 1 (* x cos))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* (pow x 2) (pow cos 2)) (/ 0 (/ 1 (* (pow x 2) (pow cos 2))))) (* 0 (/ 0 (/ 1 (* (pow x 2) (pow cos 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 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]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 (/ (* (pow (* 1 0) 2)) (pow cos 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow cos 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log cos)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log cos))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow cos 2)))) 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 (pow (* (/ 1 cos) (* (/ 1 x) (/ 1 sin))) 2)) into (/ 1 (* (pow x 2) (* (pow cos 2) (pow sin 2)))) * [misc]approximate: Taking taylor expansion of (/ 1 (* (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos)))) (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos)))))) in (sin x cos) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (* (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos)))) (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos)))))) in cos * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos)))) (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos))))) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos)))) in cos * [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))) 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)) (* (/ 1 (- x)) (/ 1 (- cos)))) in cos * [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))) 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 sin) (/ 1 x)) into (/ -1 (* x sin)) * [misc]backup-simplify: Simplify (* (/ -1 x) -1) into (/ 1 x) * [misc]backup-simplify: Simplify (* (/ -1 sin) (/ 1 x)) 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 (/ 1 (/ 1 (* (pow x 2) (pow sin 2)))) into (* (pow x 2) (pow sin 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (* (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos)))) (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos)))))) in x * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos)))) (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos))))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos)))) in 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]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)) (* (/ 1 (- x)) (/ 1 (- cos)))) in 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]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 sin) (/ 1 cos)) into (/ -1 (* sin cos)) * [misc]backup-simplify: Simplify (* -1 (/ -1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ -1 sin) (/ 1 cos)) into (/ -1 (* sin cos)) * [misc]backup-simplify: Simplify (* (/ -1 (* sin cos)) (/ -1 (* sin cos))) into (/ 1 (* (pow sin 2) (pow cos 2))) * [misc]backup-simplify: Simplify (/ 1 (/ 1 (* (pow sin 2) (pow cos 2)))) into (* (pow sin 2) (pow cos 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (* (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos)))) (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos)))))) in sin * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos)))) (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos))))) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos)))) in sin * [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))) 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)) (* (/ 1 (- x)) (/ 1 (- cos)))) in sin * [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))) 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 (/ -1 (* x cos)) * [misc]backup-simplify: Simplify (* (/ -1 x) (/ -1 cos)) into (/ 1 (* x cos)) * [misc]backup-simplify: Simplify (* -1 (/ 1 (* x cos))) 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 (/ 1 (/ 1 (* (pow x 2) (pow cos 2)))) into (* (pow x 2) (pow cos 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (* (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos)))) (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos)))))) in sin * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos)))) (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos))))) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos)))) in sin * [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))) 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)) (* (/ 1 (- x)) (/ 1 (- cos)))) in sin * [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))) 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 (/ -1 (* x cos)) * [misc]backup-simplify: Simplify (* (/ -1 x) (/ -1 cos)) into (/ 1 (* x cos)) * [misc]backup-simplify: Simplify (* -1 (/ 1 (* x cos))) 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 (/ 1 (/ 1 (* (pow x 2) (pow cos 2)))) into (* (pow x 2) (pow cos 2)) * [misc]taylor: Taking taylor expansion of (* (pow x 2) (pow cos 2)) in x * [misc]taylor: Taking taylor expansion of (pow x 2) in x * [misc]taylor: Taking taylor expansion of (pow cos 2) in x * [misc]taylor: Taking taylor expansion of (exp (* 2 (log cos))) in x * [misc]taylor: Taking taylor expansion of (* 2 (log cos)) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (log cos) into (log cos) * [misc]backup-simplify: Simplify (* 2 (log cos)) into (* 2 (log cos)) * [misc]backup-simplify: Simplify (exp (* 2 (log cos))) into (pow cos 2) * [misc]backup-simplify: Simplify (* 1 (pow cos 2)) into (pow cos 2) * [misc]taylor: Taking taylor expansion of (pow cos 2) in cos * [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 (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 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 (* x cos)))) 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 (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 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 (* x cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 (* x cos)) 0) (* 0 (/ -1 (* x cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* (pow x 2) (pow cos 2)) (/ 0 (/ 1 (* (pow x 2) (pow cos 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 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 (/ (* (pow (* 1 0) 1)) (pow cos 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log cos))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log cos))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow cos 2))) 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 (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (* 0 (/ -1 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 (* x cos))))) 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 (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (* 0 (/ -1 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 (* x cos))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 (* x cos)) 0) (+ (* 0 0) (* 0 (/ -1 (* x cos))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* (pow x 2) (pow cos 2)) (/ 0 (/ 1 (* (pow x 2) (pow cos 2))))) (* 0 (/ 0 (/ 1 (* (pow x 2) (pow cos 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 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]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 (/ (* (pow (* 1 0) 2)) (pow cos 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow cos 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log cos)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log cos))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow cos 2)))) 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 (pow (* (/ 1 (- cos)) (* (/ 1 (- x)) (/ 1 (- sin)))) 2)) into (/ 1 (* (pow x 2) (* (pow cos 2) (pow sin 2)))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (* (* sin (* x cos)) (* sin (* x cos))) in (sin x cos) around 0 * [misc]taylor: Taking taylor expansion of (* (* sin (* x cos)) (* sin (* x cos))) in cos * [misc]taylor: Taking taylor expansion of (* sin (* x cos)) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [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 (* x cos)) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [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 (* x cos)) (* sin (* x cos))) in x * [misc]taylor: Taking taylor expansion of (* sin (* x cos)) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [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 (* x cos)) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [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 (* x cos)) (* sin (* x cos))) in sin * [misc]taylor: Taking taylor expansion of (* sin (* x cos)) 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 (* 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 (* x cos)) 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 (* 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 (* x cos)) (* sin (* x cos))) in sin * [misc]taylor: Taking taylor expansion of (* sin (* x cos)) 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 (* 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 (* x cos)) 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 (* 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 (* 0 (* x cos)) into 0 * [misc]backup-simplify: Simplify (* x cos) into (* x cos) * [misc]backup-simplify: Simplify (* 0 (* x cos)) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (+ (* x 0) (* 0 cos)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* x cos))) into (* x cos) * [misc]backup-simplify: Simplify (+ (* x 0) (* 0 cos)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* x cos))) into (* x cos) * [misc]backup-simplify: Simplify (+ (* 0 (* x cos)) (* (* x cos) 0)) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 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]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 (+ (* x 0) (+ (* 0 0) (* 0 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* x cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (+ (* 0 0) (* 0 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* x cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (* x cos) (* x cos)) (* 0 0))) into (* (pow x 2) (pow cos 2)) * [misc]taylor: Taking taylor expansion of (* (pow x 2) (pow cos 2)) in x * [misc]taylor: Taking taylor expansion of (pow x 2) in x * [misc]taylor: Taking taylor expansion of (pow cos 2) in x * [misc]taylor: Taking taylor expansion of (exp (* 2 (log cos))) in x * [misc]taylor: Taking taylor expansion of (* 2 (log cos)) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (log cos) into (log cos) * [misc]backup-simplify: Simplify (* 2 (log cos)) into (* 2 (log cos)) * [misc]backup-simplify: Simplify (exp (* 2 (log cos))) into (pow cos 2) * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 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]approximate: Taking taylor expansion of (* (* (/ 1 sin) (* (/ 1 x) (/ 1 cos))) (* (/ 1 sin) (* (/ 1 x) (/ 1 cos)))) in (sin x cos) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 sin) (* (/ 1 x) (/ 1 cos))) (* (/ 1 sin) (* (/ 1 x) (/ 1 cos)))) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 sin) (* (/ 1 x) (/ 1 cos))) in cos * [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)) 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) (* (/ 1 x) (/ 1 cos))) in cos * [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)) 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) (* (/ 1 x) (/ 1 cos))) (* (/ 1 sin) (* (/ 1 x) (/ 1 cos)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 sin) (* (/ 1 x) (/ 1 cos))) in 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]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) (* (/ 1 x) (/ 1 cos))) in 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]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) (* (/ 1 x) (/ 1 cos))) (* (/ 1 sin) (* (/ 1 x) (/ 1 cos)))) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 sin) (* (/ 1 x) (/ 1 cos))) in 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]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) (* (/ 1 x) (/ 1 cos))) in 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]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) (* (/ 1 x) (/ 1 cos))) (* (/ 1 sin) (* (/ 1 x) (/ 1 cos)))) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 sin) (* (/ 1 x) (/ 1 cos))) in 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]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) (* (/ 1 x) (/ 1 cos))) in 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]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 (/ 1 (* x cos)) * [misc]backup-simplify: Simplify (* (/ 1 x) (/ 1 cos)) into (/ 1 (* x cos)) * [misc]backup-simplify: Simplify (* 1 (/ 1 (* x cos))) into (/ 1 (* x cos)) * [misc]backup-simplify: Simplify (* (/ 1 (* x cos)) (/ 1 (* x cos))) into (/ 1 (* (pow x 2) (pow cos 2))) * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow x 2) (pow cos 2))) in x * [misc]taylor: Taking taylor expansion of (* (pow x 2) (pow cos 2)) in x * [misc]taylor: Taking taylor expansion of (pow x 2) in x * [misc]taylor: Taking taylor expansion of (pow cos 2) in x * [misc]taylor: Taking taylor expansion of (exp (* 2 (log cos))) in x * [misc]taylor: Taking taylor expansion of (* 2 (log cos)) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (log cos) into (log cos) * [misc]backup-simplify: Simplify (* 2 (log cos)) into (* 2 (log cos)) * [misc]backup-simplify: Simplify (exp (* 2 (log cos))) into (pow cos 2) * [misc]backup-simplify: Simplify (* 1 (pow cos 2)) into (pow cos 2) * [misc]backup-simplify: Simplify (/ 1 (pow cos 2)) into (/ 1 (pow cos 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow cos 2)) in cos * [misc]taylor: Taking taylor expansion of (pow cos 2) in cos * [misc]backup-simplify: Simplify (/ 1 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 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 cos))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 (* x cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 cos))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 (* x cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* x cos)) 0) (* 0 (/ 1 (* x cos)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow cos 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log cos))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log cos))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow cos 2))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow cos 2)) (/ 0 (pow cos 2))))) 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 cos) (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (* 0 (/ 1 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 (* x cos))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (* 0 (/ 1 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 (* x cos))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* x cos)) 0) (+ (* 0 0) (* 0 (/ 1 (* x cos))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow cos 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow cos 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log cos)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log cos))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow cos 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow cos 2)) (/ 0 (pow cos 2))) (* 0 (/ 0 (pow cos 2))))) 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)) (* 0 (/ 0 1)))) 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 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 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 (* x cos)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 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 (* x cos)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* x cos)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* x cos)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow cos 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow cos 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow cos 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log cos))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log cos))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow cos 2))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow cos 2)) (/ 0 (pow cos 2))) (* 0 (/ 0 (pow cos 2))) (* 0 (/ 0 (pow cos 2))))) 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)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 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 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 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 (* x 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 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 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 (* x cos))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* x cos)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* x cos))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 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 cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow cos 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow cos 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow cos 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow cos 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow cos 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log cos)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log cos))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow cos 2)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow cos 2)) (/ 0 (pow cos 2))) (* 0 (/ 0 (pow cos 2))) (* 0 (/ 0 (pow cos 2))) (* 0 (/ 0 (pow cos 2))))) 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 (pow (* (/ 1 (/ 1 cos)) (* (/ 1 (/ 1 x)) (/ 1 (/ 1 sin)))) 2)) into (* (pow x 2) (* (pow cos 2) (pow sin 2))) * [misc]approximate: Taking taylor expansion of (* (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos)))) (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos))))) in (sin x cos) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos)))) (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos))))) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos)))) in cos * [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))) 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)) (* (/ 1 (- x)) (/ 1 (- cos)))) in cos * [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))) 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)) (* (/ 1 (- x)) (/ 1 (- cos)))) (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos))))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos)))) in 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]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)) (* (/ 1 (- x)) (/ 1 (- cos)))) in 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]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)) (* (/ 1 (- x)) (/ 1 (- cos)))) (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos))))) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos)))) in sin * [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))) 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)) (* (/ 1 (- x)) (/ 1 (- cos)))) in sin * [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))) 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)) (* (/ 1 (- x)) (/ 1 (- cos)))) (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos))))) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos)))) in sin * [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))) 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)) (* (/ 1 (- x)) (/ 1 (- cos)))) in sin * [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))) 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 (/ -1 (* x cos)) * [misc]backup-simplify: Simplify (* (/ -1 x) (/ -1 cos)) into (/ 1 (* x cos)) * [misc]backup-simplify: Simplify (* -1 (/ 1 (* x cos))) into (/ -1 (* x cos)) * [misc]backup-simplify: Simplify (* (/ -1 (* x cos)) (/ -1 (* x cos))) into (/ 1 (* (pow x 2) (pow cos 2))) * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow x 2) (pow cos 2))) in x * [misc]taylor: Taking taylor expansion of (* (pow x 2) (pow cos 2)) in x * [misc]taylor: Taking taylor expansion of (pow x 2) in x * [misc]taylor: Taking taylor expansion of (pow cos 2) in x * [misc]taylor: Taking taylor expansion of (exp (* 2 (log cos))) in x * [misc]taylor: Taking taylor expansion of (* 2 (log cos)) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (log cos) into (log cos) * [misc]backup-simplify: Simplify (* 2 (log cos)) into (* 2 (log cos)) * [misc]backup-simplify: Simplify (exp (* 2 (log cos))) into (pow cos 2) * [misc]backup-simplify: Simplify (* 1 (pow cos 2)) into (pow cos 2) * [misc]backup-simplify: Simplify (/ 1 (pow cos 2)) into (/ 1 (pow cos 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow cos 2)) in cos * [misc]taylor: Taking taylor expansion of (pow cos 2) in cos * [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 (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 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 (* x cos)))) 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 (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 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 (* x cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 (* x cos)) 0) (* 0 (/ -1 (* x cos)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow cos 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log cos))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log cos))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow cos 2))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow cos 2)) (/ 0 (pow cos 2))))) 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) 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 (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (* 0 (/ -1 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 (* x cos))))) 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 (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (* 0 (/ -1 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 (* x cos))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 (* x cos)) 0) (+ (* 0 0) (* 0 (/ -1 (* x cos))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow cos 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow cos 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log cos)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log cos))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow cos 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow cos 2)) (/ 0 (pow cos 2))) (* 0 (/ 0 (pow cos 2))))) 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)) (* 0 (/ 0 1)))) 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 (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 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 (* x cos)))))) 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 (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 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 (* x cos)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 (* x cos)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 (* x cos)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow cos 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow cos 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow cos 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log cos))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log cos))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow cos 2))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow cos 2)) (/ 0 (pow cos 2))) (* 0 (/ 0 (pow cos 2))) (* 0 (/ 0 (pow cos 2))))) 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)) (* 0 (/ 0 1)))) 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 (- 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 (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 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 (* x cos))))))) 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 (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 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 (* x cos))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 (* x cos)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 (* x cos))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 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 cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow cos 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow cos 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow cos 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow cos 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow cos 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log cos)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log cos))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow cos 2)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow cos 2)) (/ 0 (pow cos 2))) (* 0 (/ 0 (pow cos 2))) (* 0 (/ 0 (pow cos 2))) (* 0 (/ 0 (pow cos 2))))) 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 (pow (* (/ 1 (/ 1 (- cos))) (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- sin))))) 2)) into (* (pow x 2) (* (pow cos 2) (pow sin 2))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ 1 1)) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (+ (- 1) (- 1)) * [misc]simplify: Simplified (2 2 2) to (λ (x cos sin) (* (cos (* 2 x)) (pow (* sin (* x cos)) (+ (- 1) (- 1))))) * * * * [misc]progress: [ 21 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (- 1) * [misc]simplify: Simplified (2 2 2) to (λ (x cos sin) (* (cos (* 2 x)) (pow (* (* sin (* x cos)) (* sin (* x cos))) (- 1)))) * * * * [misc]progress: [ 22 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (- 2) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- 2) * [misc]simplify: Simplified (2 2 2) to (λ (x cos sin) (* (cos (* 2 x)) (pow (* sin (* x cos)) (- 2)))) * * * * [misc]progress: [ 23 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ 1 1)) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (+ (- 1) (- 1)) * [misc]simplify: Simplified (2 2 2) to (λ (x cos sin) (* (cos (* 2 x)) (pow (* sin (* x cos)) (+ (- 1) (- 1))))) * * * * [misc]progress: [ 24 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (- 1) * [misc]simplify: Simplified (2 2 2) to (λ (x cos sin) (* (cos (* 2 x)) (pow (* (* sin (* x cos)) (* sin (* x cos))) (- 1)))) * * * * [misc]progress: [ 25 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (* sin (* x 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 x) sin) * [misc]simplify: Simplified (2 2 2) to (λ (x cos sin) (* (cos (* 2 x)) (/ (/ 1 (* sin (* x cos))) (* (* cos x) sin)))) * * * * [misc]progress: [ 38 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (* sin (* x 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 x) sin) * [misc]simplify: Simplified (2 2 2 1) to (λ (x cos sin) (* (cos (* 2 x)) (/ 1 (pow (* (* cos x) sin) (+ 1 1))))) * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ 1 1) * [misc]simplify: Simplified (2 2 2 2) to (λ (x cos sin) (* (cos (* 2 x)) (/ 1 (pow (* sin (* x cos)) (+ 1 1))))) * * * * [misc]progress: [ 39 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* sin (* x cos)) (* sin (* x cos))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (244 enodes) * * [misc]simplify: iters left: 1 (302 enodes) * [exit]simplify: Simplified to (* (* (* cos x) sin) (* (* cos x) sin)) * [misc]simplify: Simplified (2 2 2 1) to (λ (x cos sin) (* (cos (* 2 x)) (/ 1 (pow (* (* (* cos x) sin) (* (* cos x) sin)) 1)))) * * * * [misc]progress: [ 40 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (* sin (* x 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 x) sin) * [misc]simplify: Simplified (2 2 2 1) to (λ (x cos sin) (* (cos (* 2 x)) (/ 1 (pow (* (* cos x) sin) (+ 1 1))))) * * * * [misc]progress: [ 42 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* sin (* x cos))) (log (* sin (* x cos)))) * * [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 (61 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (200 enodes) * [exit]simplify: Simplified to (+ (log (* (* cos x) sin)) (log (* (* cos x) sin))) * [misc]simplify: Simplified (2 2 2 1) to (λ (x cos sin) (* (cos (* 2 x)) (/ 1 (exp (+ (log (* (* cos x) sin)) (log (* (* cos x) sin))))))) * * * * [misc]progress: [ 44 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* sin (* x cos)) (* sin (* x cos))) (* sin (* x cos))) (* (* (* sin (* x cos)) (* sin (* x cos))) (* sin (* x cos)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (432 enodes) * [exit]simplify: Simplified to (pow (* (* (* cos x) sin) (* (* cos x) sin)) 3) * [misc]simplify: Simplified (2 2 2 1) to (λ (x cos sin) (* (cos (* 2 x)) (/ 1 (cbrt (pow (* (* (* cos x) sin) (* (* cos x) sin)) 3))))) * * * * [misc]progress: [ 47 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 65 ] 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 2 2) to (λ (x cos sin) (* (cos (* 2 x)) (/ 1 (* (* (* sin (* x cos)) sin) (* x cos))))) * * * * [misc]progress: [ 52 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 2 2) to (λ (x cos sin) (* (cos (* 2 x)) (/ 1 (* (* sin (* x cos)) 0)))) * * * * [misc]progress: [ 55 / 65 ] 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 (* (* sin cos) x) * [misc]simplify: Simplified (2 2 2 2) to (λ (x cos sin) (* (cos (* 2 x)) (/ 1 (* (* sin (* x cos)) (* (* sin cos) x))))) * * * * [misc]progress: [ 56 / 65 ] 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 (* (* sin cos) x) * [misc]simplify: Simplified (2 2 2 2) to (λ (x cos sin) (* (cos (* 2 x)) (/ 1 (* (* sin (* x cos)) (* (* sin cos) x))))) * * * * [misc]progress: [ 57 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 2 1) to (λ (x cos sin) (* (cos (* 2 x)) (/ 1 (* 0 (* sin (* x cos)))))) * * * * [misc]progress: [ 58 / 65 ] 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 (* (* sin cos) x) * [misc]simplify: Simplified (2 2 2 1) to (λ (x cos sin) (* (cos (* 2 x)) (/ 1 (* (* (* sin cos) x) (* sin (* x cos)))))) * * * * [misc]progress: [ 59 / 65 ] 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 (* (* sin cos) x) * [misc]simplify: Simplified (2 2 2 1) to (λ (x cos sin) (* (cos (* 2 x)) (/ 1 (* (* (* sin cos) x) (* sin (* x cos)))))) * * * * [misc]progress: [ 60 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (pow x 2) (* (pow cos 2) (pow sin 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (211 enodes) * * [misc]simplify: iters left: 1 (338 enodes) * [exit]simplify: Simplified to (/ (/ 1 (* x x)) (* (* sin cos) (* sin cos))) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (* (cos (* 2 x)) (/ (/ 1 (* x x)) (* (* sin cos) (* sin cos))))) * * * * [misc]progress: [ 61 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (pow x 2) (* (pow cos 2) (pow sin 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (211 enodes) * * [misc]simplify: iters left: 1 (338 enodes) * [exit]simplify: Simplified to (/ (/ 1 (* x x)) (* (* sin cos) (* sin cos))) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (* (cos (* 2 x)) (/ (/ 1 (* x x)) (* (* sin cos) (* sin cos))))) * * * * [misc]progress: [ 62 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (pow x 2) (* (pow cos 2) (pow sin 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (211 enodes) * * [misc]simplify: iters left: 1 (338 enodes) * [exit]simplify: Simplified to (/ (/ 1 (* x x)) (* (* sin cos) (* sin cos))) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (* (cos (* 2 x)) (/ (/ 1 (* x x)) (* (* sin cos) (* sin cos))))) * * * * [misc]progress: [ 63 / 65 ] 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)) (/ 1 0))) * * * * [misc]progress: [ 64 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (* (pow x 2) (* (pow cos 2) (pow sin 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 (103 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (* (* x (* cos sin)) (* x (* cos sin))) * [misc]simplify: Simplified (2 2 2) to (λ (x cos sin) (* (cos (* 2 x)) (/ 1 (* (* x (* cos sin)) (* x (* cos sin)))))) * * * * [misc]progress: [ 65 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (* (pow x 2) (* (pow cos 2) (pow sin 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 (103 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (* (* x (* cos sin)) (* x (* cos sin))) * [misc]simplify: Simplified (2 2 2) to (λ (x cos sin) (* (cos (* 2 x)) (/ 1 (* (* x (* cos sin)) (* x (* cos sin)))))) * * * [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 1 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (* sin (* x cos)) in (sin x cos) around 0 * [misc]taylor: Taking taylor expansion of (* sin (* x cos)) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [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 (* x cos)) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [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 (* x cos)) 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 (* 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 (* x cos)) 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 (* 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 (* 0 (* x cos)) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 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 (+ (* x 0) (* 0 cos)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* x cos))) into (* x cos) * [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]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 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 (+ (* x 0) (+ (* 0 0) (* 0 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* x cos)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 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 0) (* 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (/ 1 sin) (* (/ 1 x) (/ 1 cos))) in (sin x cos) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 sin) (* (/ 1 x) (/ 1 cos))) in cos * [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)) 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) (* (/ 1 x) (/ 1 cos))) in 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]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) (* (/ 1 x) (/ 1 cos))) in 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]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) (* (/ 1 x) (/ 1 cos))) in 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]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 (/ 1 (* x 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 (- (+ (* (/ 1 cos) (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 cos))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 (* x cos)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 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]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 cos) (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (* 0 (/ 1 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 (* x cos))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 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 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 (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 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 (* x cos)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 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 cos * [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 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* (/ 1 (/ 1 cos)) (* (/ 1 (/ 1 x)) (/ 1 (/ 1 sin))))) into (* x (* cos sin)) * [misc]approximate: Taking taylor expansion of (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos)))) in (sin x cos) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos)))) in cos * [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))) 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)) (* (/ 1 (- x)) (/ 1 (- cos)))) in 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]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)) (* (/ 1 (- x)) (/ 1 (- cos)))) in sin * [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))) 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)) (* (/ 1 (- x)) (/ 1 (- cos)))) in sin * [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))) 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 (/ -1 (* x cos)) * [misc]taylor: Taking taylor expansion of (/ -1 (* x cos)) in x * [misc]taylor: Taking taylor expansion of -1 in x * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* x 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 -1 in cos * [misc]backup-simplify: Simplify -1 into -1 * [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) 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 (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 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 (* x cos)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 cos))) 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 (- (/ 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 (- 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 (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (* 0 (/ -1 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 (* x cos))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 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 0) (* 0 cos)))) 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 (- (/ 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 (- 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 (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 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 (* x cos)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 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 cos * [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 (- (/ 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 0 into 0 * [misc]backup-simplify: Simplify (* -1 (* (/ 1 (/ 1 (- cos))) (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- sin)))))) into (* x (* cos sin)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (* (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) sin) (/ (cbrt (cos (* 2 x))) (* x cos))) in (x sin cos) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) sin) (/ (cbrt (cos (* 2 x))) (* x cos))) in cos * [misc]taylor: Taking taylor expansion of (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) sin) in cos * [misc]taylor: Taking taylor expansion of (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) in cos * [misc]taylor: Taking taylor expansion of (cbrt (cos (* 2 x))) in cos * [misc]taylor: Rewrote expression to (pow (cos (* 2 x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (* 2 x))))) in cos * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (* 2 x)))) in cos * [misc]taylor: Taking taylor expansion of 1/3 in cos * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (* 2 x))) 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]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 (log (cos (* 2 x))) into (log (cos (* 2 x))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (* 2 x)))) into (* 1/3 (log (cos (* 2 x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (* 2 x))))) into (pow (cos (* 2 x)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cos (* 2 x))) in cos * [misc]taylor: Rewrote expression to (pow (cos (* 2 x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (* 2 x))))) in cos * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (* 2 x)))) in cos * [misc]taylor: Taking taylor expansion of 1/3 in cos * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (* 2 x))) 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]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 (log (cos (* 2 x))) into (log (cos (* 2 x))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (* 2 x)))) into (* 1/3 (log (cos (* 2 x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (* 2 x))))) into (pow (cos (* 2 x)) 1/3) * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* (pow (cos (* 2 x)) 1/3) (pow (cos (* 2 x)) 1/3)) into (pow (pow (cos (* 2 x)) 2) 1/3) * [misc]backup-simplify: Simplify (/ (pow (pow (cos (* 2 x)) 2) 1/3) sin) into (* (/ 1 sin) (pow (pow (cos (* 2 x)) 2) 1/3)) * [misc]taylor: Taking taylor expansion of (/ (cbrt (cos (* 2 x))) (* x cos)) in cos * [misc]taylor: Taking taylor expansion of (cbrt (cos (* 2 x))) in cos * [misc]taylor: Rewrote expression to (pow (cos (* 2 x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (* 2 x))))) in cos * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (* 2 x)))) in cos * [misc]taylor: Taking taylor expansion of 1/3 in cos * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (* 2 x))) 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]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 (log (cos (* 2 x))) into (log (cos (* 2 x))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (* 2 x)))) into (* 1/3 (log (cos (* 2 x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (* 2 x))))) into (pow (cos (* 2 x)) 1/3) * [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 (/ (pow (cos (* 2 x)) 1/3) x) into (* (/ 1 x) (pow (cos (* 2 x)) 1/3)) * [misc]taylor: Taking taylor expansion of (* (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) sin) (/ (cbrt (cos (* 2 x))) (* x cos))) in sin * [misc]taylor: Taking taylor expansion of (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) sin) in sin * [misc]taylor: Taking taylor expansion of (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) in sin * [misc]taylor: Taking taylor expansion of (cbrt (cos (* 2 x))) in sin * [misc]taylor: Rewrote expression to (pow (cos (* 2 x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (* 2 x))))) in sin * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (* 2 x)))) in sin * [misc]taylor: Taking taylor expansion of 1/3 in sin * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (* 2 x))) 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]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 (log (cos (* 2 x))) into (log (cos (* 2 x))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (* 2 x)))) into (* 1/3 (log (cos (* 2 x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (* 2 x))))) into (pow (cos (* 2 x)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cos (* 2 x))) in sin * [misc]taylor: Rewrote expression to (pow (cos (* 2 x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (* 2 x))))) in sin * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (* 2 x)))) in sin * [misc]taylor: Taking taylor expansion of 1/3 in sin * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (* 2 x))) 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]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 (log (cos (* 2 x))) into (log (cos (* 2 x))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (* 2 x)))) into (* 1/3 (log (cos (* 2 x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (* 2 x))))) into (pow (cos (* 2 x)) 1/3) * [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 (* (pow (cos (* 2 x)) 1/3) (pow (cos (* 2 x)) 1/3)) into (pow (pow (cos (* 2 x)) 2) 1/3) * [misc]backup-simplify: Simplify (/ (pow (pow (cos (* 2 x)) 2) 1/3) 1) into (pow (pow (cos (* 2 x)) 2) 1/3) * [misc]taylor: Taking taylor expansion of (/ (cbrt (cos (* 2 x))) (* x cos)) in sin * [misc]taylor: Taking taylor expansion of (cbrt (cos (* 2 x))) in sin * [misc]taylor: Rewrote expression to (pow (cos (* 2 x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (* 2 x))))) in sin * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (* 2 x)))) in sin * [misc]taylor: Taking taylor expansion of 1/3 in sin * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (* 2 x))) 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]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 (log (cos (* 2 x))) into (log (cos (* 2 x))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (* 2 x)))) into (* 1/3 (log (cos (* 2 x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (* 2 x))))) into (pow (cos (* 2 x)) 1/3) * [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 (/ (pow (cos (* 2 x)) 1/3) (* x cos)) into (* (/ 1 (* x cos)) (pow (cos (* 2 x)) 1/3)) * [misc]taylor: Taking taylor expansion of (* (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) sin) (/ (cbrt (cos (* 2 x))) (* x cos))) in x * [misc]taylor: Taking taylor expansion of (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) sin) in x * [misc]taylor: Taking taylor expansion of (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) in x * [misc]taylor: Taking taylor expansion of (cbrt (cos (* 2 x))) in x * [misc]taylor: Rewrote expression to (pow (cos (* 2 x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (* 2 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (* 2 x)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (* 2 x))) 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]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 2 2) 2)) 0) into (- 2) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 2)) 1)) (pow 1 1)))) 2) into -2 * [misc]backup-simplify: Simplify (+ (* 1/3 -2) (+ (* 0 0) (* 0 0))) into -2/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (cos (* 2 x))) in x * [misc]taylor: Rewrote expression to (pow (cos (* 2 x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (* 2 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (* 2 x)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (* 2 x))) 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]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 2 2) 2)) 0) into (- 2) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 2)) 1)) (pow 1 1)))) 2) into -2 * [misc]backup-simplify: Simplify (+ (* 1/3 -2) (+ (* 0 0) (* 0 0))) into -2/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]taylor: Taking taylor expansion of (/ (cbrt (cos (* 2 x))) (* x cos)) in x * [misc]taylor: Taking taylor expansion of (cbrt (cos (* 2 x))) in x * [misc]taylor: Rewrote expression to (pow (cos (* 2 x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (* 2 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (* 2 x)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (* 2 x))) 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]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 2 2) 2)) 0) into (- 2) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 2)) 1)) (pow 1 1)))) 2) into -2 * [misc]backup-simplify: Simplify (+ (* 1/3 -2) (+ (* 0 0) (* 0 0))) into -2/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [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 (* (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) sin) (/ (cbrt (cos (* 2 x))) (* x cos))) in x * [misc]taylor: Taking taylor expansion of (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) sin) in x * [misc]taylor: Taking taylor expansion of (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) in x * [misc]taylor: Taking taylor expansion of (cbrt (cos (* 2 x))) in x * [misc]taylor: Rewrote expression to (pow (cos (* 2 x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (* 2 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (* 2 x)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (* 2 x))) 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]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 2 2) 2)) 0) into (- 2) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 2)) 1)) (pow 1 1)))) 2) into -2 * [misc]backup-simplify: Simplify (+ (* 1/3 -2) (+ (* 0 0) (* 0 0))) into -2/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (cos (* 2 x))) in x * [misc]taylor: Rewrote expression to (pow (cos (* 2 x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (* 2 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (* 2 x)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (* 2 x))) 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]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 2 2) 2)) 0) into (- 2) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 2)) 1)) (pow 1 1)))) 2) into -2 * [misc]backup-simplify: Simplify (+ (* 1/3 -2) (+ (* 0 0) (* 0 0))) into -2/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]taylor: Taking taylor expansion of (/ (cbrt (cos (* 2 x))) (* x cos)) in x * [misc]taylor: Taking taylor expansion of (cbrt (cos (* 2 x))) in x * [misc]taylor: Rewrote expression to (pow (cos (* 2 x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (* 2 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (* 2 x)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (* 2 x))) 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]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 2 2) 2)) 0) into (- 2) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 2)) 1)) (pow 1 1)))) 2) into -2 * [misc]backup-simplify: Simplify (+ (* 1/3 -2) (+ (* 0 0) (* 0 0))) into -2/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [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]backup-simplify: Simplify (* (/ 1 sin) (/ 1 cos)) into (/ 1 (* sin cos)) * [misc]taylor: Taking taylor expansion of (/ 1 (* sin cos)) in sin * [misc]taylor: Taking taylor expansion of (* sin cos) 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 in sin * [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 (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 cos))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 cos) (+ (* (/ 1 cos) (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 sin) (+ (* (/ 1 sin) (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 sin) 0) (* 0 (/ 1 cos))) 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 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 (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -2/3 1) 1)))) into -2/3 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (/ -2/3 cos) (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)))) into (- (* 2/3 (/ 1 cos))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -2/3 1) 1)))) into -2/3 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -2/3 1) 1)))) into -2/3 * [misc]backup-simplify: Simplify (+ (* 1 -2/3) (+ (* 0 0) (* -2/3 1))) into -4/3 * [misc]backup-simplify: Simplify (- (/ -4/3 sin) (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into (- (* 4/3 (/ 1 sin))) * [misc]backup-simplify: Simplify (+ (* (/ 1 sin) (- (* 2/3 (/ 1 cos)))) (+ (* 0 0) (* (- (* 4/3 (/ 1 sin))) (/ 1 cos)))) into (- (* 2 (/ 1 (* sin cos)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (* sin cos)))) in sin * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* sin cos))) 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 cos)) in sin * [misc]taylor: Taking taylor expansion of (* sin cos) 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 in sin * [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]backup-simplify: Simplify (* 2 (/ 1 cos)) into (/ 2 cos) * [misc]backup-simplify: Simplify (- (/ 2 cos)) into (- (* 2 (/ 1 cos))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 cos))) in cos * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 cos)) 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) 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 (* 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 cos * [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 (+ (* 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- 2)) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 -2) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -2/3 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 cos) (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)) (* (- (* 2/3 (/ 1 cos))) (/ 0 cos)))) 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- 2)) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 -2) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -2/3 1) 1)) (* (/ (pow 0 1) 1)))) 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- 2)) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 -2) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -2/3 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 -2/3) (+ (* -2/3 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 sin) (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)) (* (- (* 4/3 (/ 1 sin))) (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 sin) 0) (+ (* 0 (- (* 2/3 (/ 1 cos)))) (+ (* (- (* 4/3 (/ 1 sin))) 0) (* 0 (/ 1 cos))))) 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 cos))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 cos))) into 0 * [misc]backup-simplify: Simplify (- 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 cos * [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 (- (+ (* 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 cos) (* (/ 1 sin) x))) (* 1 (* (/ 1 cos) (* (/ 1 sin) (/ 1 x))))) into (- (/ 1 (* x (* cos sin))) (* 2 (/ x (* cos sin)))) * [misc]approximate: Taking taylor expansion of (* (/ (* (cbrt (cos (* 2 (/ 1 x)))) (cbrt (cos (* 2 (/ 1 x))))) (/ 1 sin)) (/ (cbrt (cos (* 2 (/ 1 x)))) (* (/ 1 x) (/ 1 cos)))) in (x sin cos) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (* (cbrt (cos (* 2 (/ 1 x)))) (cbrt (cos (* 2 (/ 1 x))))) (/ 1 sin)) (/ (cbrt (cos (* 2 (/ 1 x)))) (* (/ 1 x) (/ 1 cos)))) in cos * [misc]taylor: Taking taylor expansion of (/ (* (cbrt (cos (* 2 (/ 1 x)))) (cbrt (cos (* 2 (/ 1 x))))) (/ 1 sin)) in cos * [misc]taylor: Taking taylor expansion of (* (cbrt (cos (* 2 (/ 1 x)))) (cbrt (cos (* 2 (/ 1 x))))) in cos * [misc]taylor: Taking taylor expansion of (cbrt (cos (* 2 (/ 1 x)))) in cos * [misc]taylor: Rewrote expression to (pow (cos (* 2 (/ 1 x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (* 2 (/ 1 x)))))) in cos * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (* 2 (/ 1 x))))) in cos * [misc]taylor: Taking taylor expansion of 1/3 in cos * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (* 2 (/ 1 x)))) 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]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 (log (cos (/ 2 x))) into (log (cos (/ 2 x))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ 2 x)))) into (* 1/3 (log (cos (/ 2 x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ 2 x))))) into (pow (cos (/ 2 x)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cos (* 2 (/ 1 x)))) in cos * [misc]taylor: Rewrote expression to (pow (cos (* 2 (/ 1 x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (* 2 (/ 1 x)))))) in cos * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (* 2 (/ 1 x))))) in cos * [misc]taylor: Taking taylor expansion of 1/3 in cos * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (* 2 (/ 1 x)))) 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]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 (log (cos (/ 2 x))) into (log (cos (/ 2 x))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ 2 x)))) into (* 1/3 (log (cos (/ 2 x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ 2 x))))) into (pow (cos (/ 2 x)) 1/3) * [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 (* (pow (cos (/ 2 x)) 1/3) (pow (cos (/ 2 x)) 1/3)) into (pow (pow (cos (/ 2 x)) 2) 1/3) * [misc]backup-simplify: Simplify (/ (pow (pow (cos (/ 2 x)) 2) 1/3) (/ 1 sin)) into (* sin (pow (pow (cos (/ 2 x)) 2) 1/3)) * [misc]taylor: Taking taylor expansion of (/ (cbrt (cos (* 2 (/ 1 x)))) (* (/ 1 x) (/ 1 cos))) in cos * [misc]taylor: Taking taylor expansion of (cbrt (cos (* 2 (/ 1 x)))) in cos * [misc]taylor: Rewrote expression to (pow (cos (* 2 (/ 1 x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (* 2 (/ 1 x)))))) in cos * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (* 2 (/ 1 x))))) in cos * [misc]taylor: Taking taylor expansion of 1/3 in cos * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (* 2 (/ 1 x)))) 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]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 (log (cos (/ 2 x))) into (log (cos (/ 2 x))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ 2 x)))) into (* 1/3 (log (cos (/ 2 x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ 2 x))))) into (pow (cos (/ 2 x)) 1/3) * [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 (/ (pow (cos (/ 2 x)) 1/3) (/ 1 x)) into (* x (pow (cos (/ 2 x)) 1/3)) * [misc]taylor: Taking taylor expansion of (* (/ (* (cbrt (cos (* 2 (/ 1 x)))) (cbrt (cos (* 2 (/ 1 x))))) (/ 1 sin)) (/ (cbrt (cos (* 2 (/ 1 x)))) (* (/ 1 x) (/ 1 cos)))) in sin * [misc]taylor: Taking taylor expansion of (/ (* (cbrt (cos (* 2 (/ 1 x)))) (cbrt (cos (* 2 (/ 1 x))))) (/ 1 sin)) in sin * [misc]taylor: Taking taylor expansion of (* (cbrt (cos (* 2 (/ 1 x)))) (cbrt (cos (* 2 (/ 1 x))))) in sin * [misc]taylor: Taking taylor expansion of (cbrt (cos (* 2 (/ 1 x)))) in sin * [misc]taylor: Rewrote expression to (pow (cos (* 2 (/ 1 x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (* 2 (/ 1 x)))))) in sin * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (* 2 (/ 1 x))))) in sin * [misc]taylor: Taking taylor expansion of 1/3 in sin * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (* 2 (/ 1 x)))) 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]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 (log (cos (/ 2 x))) into (log (cos (/ 2 x))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ 2 x)))) into (* 1/3 (log (cos (/ 2 x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ 2 x))))) into (pow (cos (/ 2 x)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cos (* 2 (/ 1 x)))) in sin * [misc]taylor: Rewrote expression to (pow (cos (* 2 (/ 1 x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (* 2 (/ 1 x)))))) in sin * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (* 2 (/ 1 x))))) in sin * [misc]taylor: Taking taylor expansion of 1/3 in sin * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (* 2 (/ 1 x)))) 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]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 (log (cos (/ 2 x))) into (log (cos (/ 2 x))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ 2 x)))) into (* 1/3 (log (cos (/ 2 x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ 2 x))))) into (pow (cos (/ 2 x)) 1/3) * [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 (* (pow (cos (/ 2 x)) 1/3) (pow (cos (/ 2 x)) 1/3)) into (pow (pow (cos (/ 2 x)) 2) 1/3) * [misc]backup-simplify: Simplify (/ (pow (pow (cos (/ 2 x)) 2) 1/3) 1) into (pow (pow (cos (/ 2 x)) 2) 1/3) * [misc]taylor: Taking taylor expansion of (/ (cbrt (cos (* 2 (/ 1 x)))) (* (/ 1 x) (/ 1 cos))) in sin * [misc]taylor: Taking taylor expansion of (cbrt (cos (* 2 (/ 1 x)))) in sin * [misc]taylor: Rewrote expression to (pow (cos (* 2 (/ 1 x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (* 2 (/ 1 x)))))) in sin * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (* 2 (/ 1 x))))) in sin * [misc]taylor: Taking taylor expansion of 1/3 in sin * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (* 2 (/ 1 x)))) 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]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 (log (cos (/ 2 x))) into (log (cos (/ 2 x))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ 2 x)))) into (* 1/3 (log (cos (/ 2 x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ 2 x))))) into (pow (cos (/ 2 x)) 1/3) * [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 (/ (pow (cos (/ 2 x)) 1/3) (/ 1 (* x cos))) into (* (* x cos) (pow (cos (/ 2 x)) 1/3)) * [misc]taylor: Taking taylor expansion of (* (/ (* (cbrt (cos (* 2 (/ 1 x)))) (cbrt (cos (* 2 (/ 1 x))))) (/ 1 sin)) (/ (cbrt (cos (* 2 (/ 1 x)))) (* (/ 1 x) (/ 1 cos)))) in x * [misc]taylor: Taking taylor expansion of (/ (* (cbrt (cos (* 2 (/ 1 x)))) (cbrt (cos (* 2 (/ 1 x))))) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (* (cbrt (cos (* 2 (/ 1 x)))) (cbrt (cos (* 2 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (cbrt (cos (* 2 (/ 1 x)))) in x * [misc]taylor: Rewrote expression to (pow (cos (* 2 (/ 1 x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (* 2 (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (* 2 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (* 2 (/ 1 x)))) 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]backup-simplify: Simplify (log (cos (/ 2 x))) into (log (cos (/ 2 x))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ 2 x)))) into (* 1/3 (log (cos (/ 2 x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ 2 x))))) into (pow (cos (/ 2 x)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cos (* 2 (/ 1 x)))) in x * [misc]taylor: Rewrote expression to (pow (cos (* 2 (/ 1 x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (* 2 (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (* 2 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (* 2 (/ 1 x)))) 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]backup-simplify: Simplify (log (cos (/ 2 x))) into (log (cos (/ 2 x))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ 2 x)))) into (* 1/3 (log (cos (/ 2 x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ 2 x))))) into (pow (cos (/ 2 x)) 1/3) * [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 (* (pow (cos (/ 2 x)) 1/3) (pow (cos (/ 2 x)) 1/3)) into (pow (pow (cos (/ 2 x)) 2) 1/3) * [misc]backup-simplify: Simplify (/ (pow (pow (cos (/ 2 x)) 2) 1/3) (/ 1 sin)) into (* sin (pow (pow (cos (/ 2 x)) 2) 1/3)) * [misc]taylor: Taking taylor expansion of (/ (cbrt (cos (* 2 (/ 1 x)))) (* (/ 1 x) (/ 1 cos))) in x * [misc]taylor: Taking taylor expansion of (cbrt (cos (* 2 (/ 1 x)))) in x * [misc]taylor: Rewrote expression to (pow (cos (* 2 (/ 1 x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (* 2 (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (* 2 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (* 2 (/ 1 x)))) 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]backup-simplify: Simplify (log (cos (/ 2 x))) into (log (cos (/ 2 x))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ 2 x)))) into (* 1/3 (log (cos (/ 2 x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ 2 x))))) into (pow (cos (/ 2 x)) 1/3) * [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 (/ (pow (cos (/ 2 x)) 1/3) (/ 1 cos)) into (* cos (pow (cos (/ 2 x)) 1/3)) * [misc]taylor: Taking taylor expansion of (* (/ (* (cbrt (cos (* 2 (/ 1 x)))) (cbrt (cos (* 2 (/ 1 x))))) (/ 1 sin)) (/ (cbrt (cos (* 2 (/ 1 x)))) (* (/ 1 x) (/ 1 cos)))) in x * [misc]taylor: Taking taylor expansion of (/ (* (cbrt (cos (* 2 (/ 1 x)))) (cbrt (cos (* 2 (/ 1 x))))) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (* (cbrt (cos (* 2 (/ 1 x)))) (cbrt (cos (* 2 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (cbrt (cos (* 2 (/ 1 x)))) in x * [misc]taylor: Rewrote expression to (pow (cos (* 2 (/ 1 x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (* 2 (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (* 2 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (* 2 (/ 1 x)))) 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]backup-simplify: Simplify (log (cos (/ 2 x))) into (log (cos (/ 2 x))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ 2 x)))) into (* 1/3 (log (cos (/ 2 x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ 2 x))))) into (pow (cos (/ 2 x)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cos (* 2 (/ 1 x)))) in x * [misc]taylor: Rewrote expression to (pow (cos (* 2 (/ 1 x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (* 2 (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (* 2 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (* 2 (/ 1 x)))) 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]backup-simplify: Simplify (log (cos (/ 2 x))) into (log (cos (/ 2 x))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ 2 x)))) into (* 1/3 (log (cos (/ 2 x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ 2 x))))) into (pow (cos (/ 2 x)) 1/3) * [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 (* (pow (cos (/ 2 x)) 1/3) (pow (cos (/ 2 x)) 1/3)) into (pow (pow (cos (/ 2 x)) 2) 1/3) * [misc]backup-simplify: Simplify (/ (pow (pow (cos (/ 2 x)) 2) 1/3) (/ 1 sin)) into (* sin (pow (pow (cos (/ 2 x)) 2) 1/3)) * [misc]taylor: Taking taylor expansion of (/ (cbrt (cos (* 2 (/ 1 x)))) (* (/ 1 x) (/ 1 cos))) in x * [misc]taylor: Taking taylor expansion of (cbrt (cos (* 2 (/ 1 x)))) in x * [misc]taylor: Rewrote expression to (pow (cos (* 2 (/ 1 x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (* 2 (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (* 2 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (* 2 (/ 1 x)))) 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]backup-simplify: Simplify (log (cos (/ 2 x))) into (log (cos (/ 2 x))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ 2 x)))) into (* 1/3 (log (cos (/ 2 x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ 2 x))))) into (pow (cos (/ 2 x)) 1/3) * [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 (/ (pow (cos (/ 2 x)) 1/3) (/ 1 cos)) into (* cos (pow (cos (/ 2 x)) 1/3)) * [misc]backup-simplify: Simplify (* (* sin (pow (pow (cos (/ 2 x)) 2) 1/3)) (* cos (pow (cos (/ 2 x)) 1/3))) into (* sin (* cos (cos (/ 2 x)))) * [misc]taylor: Taking taylor expansion of (* sin (* cos (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 (cos (/ 2 x))) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [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 (+ (* cos 0) (* 0 (cos (/ 2 x)))) into 0 * [misc]backup-simplify: Simplify (* cos (cos (/ 2 x))) into (* cos (cos (/ 2 x))) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* cos (cos (/ 2 x))))) into (* cos (cos (/ 2 x))) * [misc]taylor: Taking taylor expansion of (* cos (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 (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 (+ (* 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 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 2 x)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ 2 x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ 2 x))))) (+ (* (/ (pow 0 1) 1)))) 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 (- (/ 0 (/ 1 cos)) (+ (* (* cos (pow (cos (/ 2 x)) 1/3)) (/ 0 (/ 1 cos))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 2 x)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ 2 x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ 2 x))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 2 x)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ 2 x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ 2 x))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (cos (/ 2 x)) 1/3) 0) (* 0 (pow (cos (/ 2 x)) 1/3))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 sin)) (+ (* (* sin (pow (pow (cos (/ 2 x)) 2) 1/3)) (/ 0 (/ 1 sin))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* sin (pow (pow (cos (/ 2 x)) 2) 1/3)) 0) (* 0 (* cos (pow (cos (/ 2 x)) 1/3)))) 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 cos * [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 0) (+ (* 0 0) (* 0 (cos (/ 2 x))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* cos (cos (/ 2 x)))))) 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 (/ (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 (/ (* (pow (* 1 0) 2)) (pow (cos (/ 2 x)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ 2 x)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ 2 x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ 2 x))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (- (/ 0 (/ 1 cos)) (+ (* (* cos (pow (cos (/ 2 x)) 1/3)) (/ 0 (/ 1 cos))) (* 0 (/ 0 (/ 1 cos))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ 2 x)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ 2 x)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ 2 x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ 2 x))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ 2 x)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ 2 x)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ 2 x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ 2 x))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (cos (/ 2 x)) 1/3) 0) (+ (* 0 0) (* 0 (pow (cos (/ 2 x)) 1/3)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 sin)) (+ (* (* sin (pow (pow (cos (/ 2 x)) 2) 1/3)) (/ 0 (/ 1 sin))) (* 0 (/ 0 (/ 1 sin))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* sin (pow (pow (cos (/ 2 x)) 2) 1/3)) 0) (+ (* 0 0) (* 0 (* cos (pow (cos (/ 2 x)) 1/3))))) 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 cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 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 (* -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 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 2 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* cos (cos (/ 2 x))))))) 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 (* (cos (/ 2 (/ 1 x))) (* (/ 1 cos) (* (/ 1 sin) (/ 1 x)))) into (/ (cos (* 2 x)) (* sin (* x cos))) * [misc]approximate: Taking taylor expansion of (* (/ (* (cbrt (cos (* 2 (/ 1 (- x))))) (cbrt (cos (* 2 (/ 1 (- x)))))) (/ 1 (- sin))) (/ (cbrt (cos (* 2 (/ 1 (- x))))) (* (/ 1 (- x)) (/ 1 (- cos))))) in (x sin cos) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (* (cbrt (cos (* 2 (/ 1 (- x))))) (cbrt (cos (* 2 (/ 1 (- x)))))) (/ 1 (- sin))) (/ (cbrt (cos (* 2 (/ 1 (- x))))) (* (/ 1 (- x)) (/ 1 (- cos))))) in cos * [misc]taylor: Taking taylor expansion of (/ (* (cbrt (cos (* 2 (/ 1 (- x))))) (cbrt (cos (* 2 (/ 1 (- x)))))) (/ 1 (- sin))) in cos * [misc]taylor: Taking taylor expansion of (* (cbrt (cos (* 2 (/ 1 (- x))))) (cbrt (cos (* 2 (/ 1 (- x)))))) in cos * [misc]taylor: Taking taylor expansion of (cbrt (cos (* 2 (/ 1 (- x))))) in cos * [misc]taylor: Rewrote expression to (pow (cos (* 2 (/ 1 (- x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (* 2 (/ 1 (- x))))))) in cos * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (* 2 (/ 1 (- x)))))) in cos * [misc]taylor: Taking taylor expansion of 1/3 in cos * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (* 2 (/ 1 (- x))))) 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]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 (log (cos (/ -2 x))) into (log (cos (/ -2 x))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ -2 x)))) into (* 1/3 (log (cos (/ -2 x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ -2 x))))) into (pow (cos (/ -2 x)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cos (* 2 (/ 1 (- x))))) in cos * [misc]taylor: Rewrote expression to (pow (cos (* 2 (/ 1 (- x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (* 2 (/ 1 (- x))))))) in cos * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (* 2 (/ 1 (- x)))))) in cos * [misc]taylor: Taking taylor expansion of 1/3 in cos * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (* 2 (/ 1 (- x))))) 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]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 (log (cos (/ -2 x))) into (log (cos (/ -2 x))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ -2 x)))) into (* 1/3 (log (cos (/ -2 x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ -2 x))))) into (pow (cos (/ -2 x)) 1/3) * [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 (* (pow (cos (/ -2 x)) 1/3) (pow (cos (/ -2 x)) 1/3)) into (pow (pow (cos (/ -2 x)) 2) 1/3) * [misc]backup-simplify: Simplify (/ (pow (pow (cos (/ -2 x)) 2) 1/3) (/ -1 sin)) into (* -1 (* (pow (pow (cos (/ -2 x)) 2) 1/3) sin)) * [misc]taylor: Taking taylor expansion of (/ (cbrt (cos (* 2 (/ 1 (- x))))) (* (/ 1 (- x)) (/ 1 (- cos)))) in cos * [misc]taylor: Taking taylor expansion of (cbrt (cos (* 2 (/ 1 (- x))))) in cos * [misc]taylor: Rewrote expression to (pow (cos (* 2 (/ 1 (- x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (* 2 (/ 1 (- x))))))) in cos * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (* 2 (/ 1 (- x)))))) in cos * [misc]taylor: Taking taylor expansion of 1/3 in cos * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (* 2 (/ 1 (- x))))) 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]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 (log (cos (/ -2 x))) into (log (cos (/ -2 x))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ -2 x)))) into (* 1/3 (log (cos (/ -2 x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ -2 x))))) into (pow (cos (/ -2 x)) 1/3) * [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 (/ (pow (cos (/ -2 x)) 1/3) (/ 1 x)) into (* (pow (cos (/ -2 x)) 1/3) x) * [misc]taylor: Taking taylor expansion of (* (/ (* (cbrt (cos (* 2 (/ 1 (- x))))) (cbrt (cos (* 2 (/ 1 (- x)))))) (/ 1 (- sin))) (/ (cbrt (cos (* 2 (/ 1 (- x))))) (* (/ 1 (- x)) (/ 1 (- cos))))) in sin * [misc]taylor: Taking taylor expansion of (/ (* (cbrt (cos (* 2 (/ 1 (- x))))) (cbrt (cos (* 2 (/ 1 (- x)))))) (/ 1 (- sin))) in sin * [misc]taylor: Taking taylor expansion of (* (cbrt (cos (* 2 (/ 1 (- x))))) (cbrt (cos (* 2 (/ 1 (- x)))))) in sin * [misc]taylor: Taking taylor expansion of (cbrt (cos (* 2 (/ 1 (- x))))) in sin * [misc]taylor: Rewrote expression to (pow (cos (* 2 (/ 1 (- x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (* 2 (/ 1 (- x))))))) in sin * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (* 2 (/ 1 (- x)))))) in sin * [misc]taylor: Taking taylor expansion of 1/3 in sin * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (* 2 (/ 1 (- x))))) 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]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 (log (cos (/ -2 x))) into (log (cos (/ -2 x))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ -2 x)))) into (* 1/3 (log (cos (/ -2 x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ -2 x))))) into (pow (cos (/ -2 x)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cos (* 2 (/ 1 (- x))))) in sin * [misc]taylor: Rewrote expression to (pow (cos (* 2 (/ 1 (- x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (* 2 (/ 1 (- x))))))) in sin * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (* 2 (/ 1 (- x)))))) in sin * [misc]taylor: Taking taylor expansion of 1/3 in sin * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (* 2 (/ 1 (- x))))) 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]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 (log (cos (/ -2 x))) into (log (cos (/ -2 x))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ -2 x)))) into (* 1/3 (log (cos (/ -2 x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ -2 x))))) into (pow (cos (/ -2 x)) 1/3) * [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 (* (pow (cos (/ -2 x)) 1/3) (pow (cos (/ -2 x)) 1/3)) into (pow (pow (cos (/ -2 x)) 2) 1/3) * [misc]backup-simplify: Simplify (/ (pow (pow (cos (/ -2 x)) 2) 1/3) -1) into (* -1 (pow (pow (cos (/ -2 x)) 2) 1/3)) * [misc]taylor: Taking taylor expansion of (/ (cbrt (cos (* 2 (/ 1 (- x))))) (* (/ 1 (- x)) (/ 1 (- cos)))) in sin * [misc]taylor: Taking taylor expansion of (cbrt (cos (* 2 (/ 1 (- x))))) in sin * [misc]taylor: Rewrote expression to (pow (cos (* 2 (/ 1 (- x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (* 2 (/ 1 (- x))))))) in sin * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (* 2 (/ 1 (- x)))))) in sin * [misc]taylor: Taking taylor expansion of 1/3 in sin * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (* 2 (/ 1 (- x))))) 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]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 (log (cos (/ -2 x))) into (log (cos (/ -2 x))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ -2 x)))) into (* 1/3 (log (cos (/ -2 x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ -2 x))))) into (pow (cos (/ -2 x)) 1/3) * [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 (/ (pow (cos (/ -2 x)) 1/3) (/ 1 (* x cos))) into (* (pow (cos (/ -2 x)) 1/3) (* x cos)) * [misc]taylor: Taking taylor expansion of (* (/ (* (cbrt (cos (* 2 (/ 1 (- x))))) (cbrt (cos (* 2 (/ 1 (- x)))))) (/ 1 (- sin))) (/ (cbrt (cos (* 2 (/ 1 (- x))))) (* (/ 1 (- x)) (/ 1 (- cos))))) in x * [misc]taylor: Taking taylor expansion of (/ (* (cbrt (cos (* 2 (/ 1 (- x))))) (cbrt (cos (* 2 (/ 1 (- x)))))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (* (cbrt (cos (* 2 (/ 1 (- x))))) (cbrt (cos (* 2 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (cbrt (cos (* 2 (/ 1 (- x))))) in x * [misc]taylor: Rewrote expression to (pow (cos (* 2 (/ 1 (- x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (* 2 (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (* 2 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (* 2 (/ 1 (- x))))) 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]backup-simplify: Simplify (log (cos (/ -2 x))) into (log (cos (/ -2 x))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ -2 x)))) into (* 1/3 (log (cos (/ -2 x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ -2 x))))) into (pow (cos (/ -2 x)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cos (* 2 (/ 1 (- x))))) in x * [misc]taylor: Rewrote expression to (pow (cos (* 2 (/ 1 (- x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (* 2 (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (* 2 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (* 2 (/ 1 (- x))))) 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]backup-simplify: Simplify (log (cos (/ -2 x))) into (log (cos (/ -2 x))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ -2 x)))) into (* 1/3 (log (cos (/ -2 x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ -2 x))))) into (pow (cos (/ -2 x)) 1/3) * [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 (* (pow (cos (/ -2 x)) 1/3) (pow (cos (/ -2 x)) 1/3)) into (pow (pow (cos (/ -2 x)) 2) 1/3) * [misc]backup-simplify: Simplify (/ (pow (pow (cos (/ -2 x)) 2) 1/3) (/ -1 sin)) into (* -1 (* (pow (pow (cos (/ -2 x)) 2) 1/3) sin)) * [misc]taylor: Taking taylor expansion of (/ (cbrt (cos (* 2 (/ 1 (- x))))) (* (/ 1 (- x)) (/ 1 (- cos)))) in x * [misc]taylor: Taking taylor expansion of (cbrt (cos (* 2 (/ 1 (- x))))) in x * [misc]taylor: Rewrote expression to (pow (cos (* 2 (/ 1 (- x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (* 2 (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (* 2 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (* 2 (/ 1 (- x))))) 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]backup-simplify: Simplify (log (cos (/ -2 x))) into (log (cos (/ -2 x))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ -2 x)))) into (* 1/3 (log (cos (/ -2 x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ -2 x))))) into (pow (cos (/ -2 x)) 1/3) * [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 (/ (pow (cos (/ -2 x)) 1/3) (/ 1 cos)) into (* (pow (cos (/ -2 x)) 1/3) cos) * [misc]taylor: Taking taylor expansion of (* (/ (* (cbrt (cos (* 2 (/ 1 (- x))))) (cbrt (cos (* 2 (/ 1 (- x)))))) (/ 1 (- sin))) (/ (cbrt (cos (* 2 (/ 1 (- x))))) (* (/ 1 (- x)) (/ 1 (- cos))))) in x * [misc]taylor: Taking taylor expansion of (/ (* (cbrt (cos (* 2 (/ 1 (- x))))) (cbrt (cos (* 2 (/ 1 (- x)))))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (* (cbrt (cos (* 2 (/ 1 (- x))))) (cbrt (cos (* 2 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (cbrt (cos (* 2 (/ 1 (- x))))) in x * [misc]taylor: Rewrote expression to (pow (cos (* 2 (/ 1 (- x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (* 2 (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (* 2 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (* 2 (/ 1 (- x))))) 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]backup-simplify: Simplify (log (cos (/ -2 x))) into (log (cos (/ -2 x))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ -2 x)))) into (* 1/3 (log (cos (/ -2 x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ -2 x))))) into (pow (cos (/ -2 x)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cos (* 2 (/ 1 (- x))))) in x * [misc]taylor: Rewrote expression to (pow (cos (* 2 (/ 1 (- x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (* 2 (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (* 2 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (* 2 (/ 1 (- x))))) 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]backup-simplify: Simplify (log (cos (/ -2 x))) into (log (cos (/ -2 x))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ -2 x)))) into (* 1/3 (log (cos (/ -2 x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ -2 x))))) into (pow (cos (/ -2 x)) 1/3) * [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 (* (pow (cos (/ -2 x)) 1/3) (pow (cos (/ -2 x)) 1/3)) into (pow (pow (cos (/ -2 x)) 2) 1/3) * [misc]backup-simplify: Simplify (/ (pow (pow (cos (/ -2 x)) 2) 1/3) (/ -1 sin)) into (* -1 (* (pow (pow (cos (/ -2 x)) 2) 1/3) sin)) * [misc]taylor: Taking taylor expansion of (/ (cbrt (cos (* 2 (/ 1 (- x))))) (* (/ 1 (- x)) (/ 1 (- cos)))) in x * [misc]taylor: Taking taylor expansion of (cbrt (cos (* 2 (/ 1 (- x))))) in x * [misc]taylor: Rewrote expression to (pow (cos (* 2 (/ 1 (- x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (* 2 (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (* 2 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (* 2 (/ 1 (- x))))) 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]backup-simplify: Simplify (log (cos (/ -2 x))) into (log (cos (/ -2 x))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ -2 x)))) into (* 1/3 (log (cos (/ -2 x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ -2 x))))) into (pow (cos (/ -2 x)) 1/3) * [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 (/ (pow (cos (/ -2 x)) 1/3) (/ 1 cos)) into (* (pow (cos (/ -2 x)) 1/3) cos) * [misc]backup-simplify: Simplify (* (* -1 (* (pow (pow (cos (/ -2 x)) 2) 1/3) sin)) (* (pow (cos (/ -2 x)) 1/3) cos)) into (* -1 (* (cos (/ -2 x)) (* sin cos))) * [misc]taylor: Taking taylor expansion of (* -1 (* (cos (/ -2 x)) (* sin cos))) in sin * [misc]taylor: Taking taylor expansion of -1 in sin * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (cos (/ -2 x)) (* sin cos)) 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 cos) 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 in sin * [misc]backup-simplify: Simplify cos into cos * [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)) into cos * [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 cos) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) cos) (* 0 0)) into (* (cos (/ -2 x)) cos) * [misc]backup-simplify: Simplify (* (cos (/ -2 x)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (* (cos (/ -2 x)) cos)) (* 0 0)) into (- (* (cos (/ -2 x)) cos)) * [misc]taylor: Taking taylor expansion of (- (* (cos (/ -2 x)) cos)) in cos * [misc]taylor: Taking taylor expansion of (* (cos (/ -2 x)) cos) 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 in cos * [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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -2 x)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ -2 x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ -2 x))))) (+ (* (/ (pow 0 1) 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) 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 (- (/ 0 (/ 1 cos)) (+ (* (* (pow (cos (/ -2 x)) 1/3) cos) (/ 0 (/ 1 cos))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -2 x)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ -2 x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ -2 x))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -2 x)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ -2 x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ -2 x))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (cos (/ -2 x)) 1/3) 0) (* 0 (pow (cos (/ -2 x)) 1/3))) 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 (/ -1 sin)) (+ (* (* -1 (* (pow (pow (cos (/ -2 x)) 2) 1/3) sin)) (/ 0 (/ -1 sin))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 (* (pow (pow (cos (/ -2 x)) 2) 1/3) sin)) 0) (* 0 (* (pow (cos (/ -2 x)) 1/3) cos))) 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 cos * [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 (+ (* -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 cos) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 (* (cos (/ -2 x)) cos)) (* 0 0))) 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 (/ (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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ -2 x)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ -2 x)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ -2 x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ -2 x))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 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) into 0 * [misc]backup-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 (- (/ 0 (/ 1 cos)) (+ (* (* (pow (cos (/ -2 x)) 1/3) cos) (/ 0 (/ 1 cos))) (* 0 (/ 0 (/ 1 cos))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ -2 x)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ -2 x)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ -2 x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ -2 x))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ -2 x)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ -2 x)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ -2 x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ -2 x))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (cos (/ -2 x)) 1/3) 0) (+ (* 0 0) (* 0 (pow (cos (/ -2 x)) 1/3)))) 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 (* (pow (pow (cos (/ -2 x)) 2) 1/3) sin)) (/ 0 (/ -1 sin))) (* 0 (/ 0 (/ -1 sin))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 (* (pow (pow (cos (/ -2 x)) 2) 1/3) sin)) 0) (+ (* 0 0) (* 0 (* (pow (cos (/ -2 x)) 1/3) cos)))) 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 cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 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 0) (+ (* 1 0) (+ (* 0 0) (* 0 cos)))) 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 cos) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (* (cos (/ -2 x)) cos)) (* 0 0)))) 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 (* (- (cos (/ -2 (/ 1 (- x))))) (* (/ 1 (- cos)) (* (/ 1 (- sin)) (/ 1 (- x))))) into (/ (cos (* 2 x)) (* sin (* x cos))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (/ (cbrt (cos (* 2 x))) (* x cos)) in (x cos) around 0 * [misc]taylor: Taking taylor expansion of (/ (cbrt (cos (* 2 x))) (* x cos)) in cos * [misc]taylor: Taking taylor expansion of (cbrt (cos (* 2 x))) in cos * [misc]taylor: Rewrote expression to (pow (cos (* 2 x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (* 2 x))))) in cos * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (* 2 x)))) in cos * [misc]taylor: Taking taylor expansion of 1/3 in cos * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (* 2 x))) 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]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 (log (cos (* 2 x))) into (log (cos (* 2 x))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (* 2 x)))) into (* 1/3 (log (cos (* 2 x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (* 2 x))))) into (pow (cos (* 2 x)) 1/3) * [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 (/ (pow (cos (* 2 x)) 1/3) x) into (* (/ 1 x) (pow (cos (* 2 x)) 1/3)) * [misc]taylor: Taking taylor expansion of (/ (cbrt (cos (* 2 x))) (* x cos)) in x * [misc]taylor: Taking taylor expansion of (cbrt (cos (* 2 x))) in x * [misc]taylor: Rewrote expression to (pow (cos (* 2 x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (* 2 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (* 2 x)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (* 2 x))) 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]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 2 2) 2)) 0) into (- 2) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 2)) 1)) (pow 1 1)))) 2) into -2 * [misc]backup-simplify: Simplify (+ (* 1/3 -2) (+ (* 0 0) (* 0 0))) into -2/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [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 (/ (cbrt (cos (* 2 x))) (* x cos)) in x * [misc]taylor: Taking taylor expansion of (cbrt (cos (* 2 x))) in x * [misc]taylor: Rewrote expression to (pow (cos (* 2 x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (* 2 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (* 2 x)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (* 2 x))) 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]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 2 2) 2)) 0) into (- 2) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 2)) 1)) (pow 1 1)))) 2) into -2 * [misc]backup-simplify: Simplify (+ (* 1/3 -2) (+ (* 0 0) (* 0 0))) into -2/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [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 (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 cos))) 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 (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -2/3 1) 1)))) into -2/3 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (/ -2/3 cos) (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)))) into (- (* 2/3 (/ 1 cos))) * [misc]taylor: Taking taylor expansion of (- (* 2/3 (/ 1 cos))) in cos * [misc]taylor: Taking taylor expansion of (* 2/3 (/ 1 cos)) 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 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 (* 2/3 1) into 2/3 * [misc]backup-simplify: Simplify (- 2/3) into -2/3 * [misc]backup-simplify: Simplify -2/3 into -2/3 * [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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- 2)) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 -2) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -2/3 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 cos) (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)) (* (- (* 2/3 (/ 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 (+ (* 2/3 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 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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- 2)) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 (- 2)) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 2/3) 1)) (pow 1 1)))) 24) into -4/3 * [misc]backup-simplify: Simplify (+ (* 1/3 -4/3) (+ (* 0 0) (+ (* 0 -2) (+ (* 0 0) (* 0 0))))) into -4/9 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow -2/3 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -2/3 2) 2)) (* (/ (pow -4/9 1) 1)))) into -2/9 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos)))))) into 0 * [misc]backup-simplify: Simplify (- (/ -2/9 cos) (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)) (* (- (* 2/3 (/ 1 cos))) (/ 0 cos)) (* 0 (/ 0 cos)))) into (- (* 2/9 (/ 1 cos))) * [misc]taylor: Taking taylor expansion of (- (* 2/9 (/ 1 cos))) in cos * [misc]taylor: Taking taylor expansion of (* 2/9 (/ 1 cos)) in cos * [misc]taylor: Taking taylor expansion of 2/9 in cos * [misc]backup-simplify: Simplify 2/9 into 2/9 * [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 (* 2/9 1) into 2/9 * [misc]backup-simplify: Simplify (- 2/9) into -2/9 * [misc]backup-simplify: Simplify -2/9 into -2/9 * [misc]backup-simplify: Simplify (+ (* -2/9 (* (/ 1 cos) (pow x 3))) (+ (* -2/3 (* (/ 1 cos) x)) (* 1 (* (/ 1 cos) (/ 1 x))))) into (- (/ 1 (* x cos)) (+ (* 2/9 (/ (pow x 3) cos)) (* 2/3 (/ x cos)))) * [misc]approximate: Taking taylor expansion of (/ (cbrt (cos (* 2 (/ 1 x)))) (* (/ 1 x) (/ 1 cos))) in (x cos) around 0 * [misc]taylor: Taking taylor expansion of (/ (cbrt (cos (* 2 (/ 1 x)))) (* (/ 1 x) (/ 1 cos))) in cos * [misc]taylor: Taking taylor expansion of (cbrt (cos (* 2 (/ 1 x)))) in cos * [misc]taylor: Rewrote expression to (pow (cos (* 2 (/ 1 x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (* 2 (/ 1 x)))))) in cos * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (* 2 (/ 1 x))))) in cos * [misc]taylor: Taking taylor expansion of 1/3 in cos * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (* 2 (/ 1 x)))) 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]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 (log (cos (/ 2 x))) into (log (cos (/ 2 x))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ 2 x)))) into (* 1/3 (log (cos (/ 2 x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ 2 x))))) into (pow (cos (/ 2 x)) 1/3) * [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 (/ (pow (cos (/ 2 x)) 1/3) (/ 1 x)) into (* x (pow (cos (/ 2 x)) 1/3)) * [misc]taylor: Taking taylor expansion of (/ (cbrt (cos (* 2 (/ 1 x)))) (* (/ 1 x) (/ 1 cos))) in x * [misc]taylor: Taking taylor expansion of (cbrt (cos (* 2 (/ 1 x)))) in x * [misc]taylor: Rewrote expression to (pow (cos (* 2 (/ 1 x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (* 2 (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (* 2 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (* 2 (/ 1 x)))) 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]backup-simplify: Simplify (log (cos (/ 2 x))) into (log (cos (/ 2 x))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ 2 x)))) into (* 1/3 (log (cos (/ 2 x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ 2 x))))) into (pow (cos (/ 2 x)) 1/3) * [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 (/ (pow (cos (/ 2 x)) 1/3) (/ 1 cos)) into (* cos (pow (cos (/ 2 x)) 1/3)) * [misc]taylor: Taking taylor expansion of (/ (cbrt (cos (* 2 (/ 1 x)))) (* (/ 1 x) (/ 1 cos))) in x * [misc]taylor: Taking taylor expansion of (cbrt (cos (* 2 (/ 1 x)))) in x * [misc]taylor: Rewrote expression to (pow (cos (* 2 (/ 1 x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (* 2 (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (* 2 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (* 2 (/ 1 x)))) 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]backup-simplify: Simplify (log (cos (/ 2 x))) into (log (cos (/ 2 x))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ 2 x)))) into (* 1/3 (log (cos (/ 2 x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ 2 x))))) into (pow (cos (/ 2 x)) 1/3) * [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 (/ (pow (cos (/ 2 x)) 1/3) (/ 1 cos)) into (* cos (pow (cos (/ 2 x)) 1/3)) * [misc]taylor: Taking taylor expansion of (* cos (pow (cos (/ 2 x)) 1/3)) 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 (cos (/ 2 x)) 1/3) in cos * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 2 x))))) in cos * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (/ 2 x)))) in cos * [misc]taylor: Taking taylor expansion of 1/3 in cos * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (/ 2 x))) 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]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 (log (cos (/ 2 x))) into (log (cos (/ 2 x))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ 2 x)))) into (* 1/3 (log (cos (/ 2 x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ 2 x))))) into (pow (cos (/ 2 x)) 1/3) * [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 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 2 x)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ 2 x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ 2 x))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (pow (cos (/ 2 x)) 1/3))) into (pow (cos (/ 2 x)) 1/3) * [misc]backup-simplify: Simplify (pow (cos (/ 2 x)) 1/3) into (pow (cos (/ 2 x)) 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 2 x)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ 2 x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ 2 x))))) (+ (* (/ (pow 0 1) 1)))) 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 (- (/ 0 (/ 1 cos)) (+ (* (* cos (pow (cos (/ 2 x)) 1/3)) (/ 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 (/ (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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ 2 x)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ 2 x)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ 2 x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ 2 x))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow (cos (/ 2 x)) 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ 2 x)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ 2 x)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ 2 x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ 2 x))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (- (/ 0 (/ 1 cos)) (+ (* (* cos (pow (cos (/ 2 x)) 1/3)) (/ 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 (* -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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ 2 x)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ 2 x)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ 2 x)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 2 x))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ 2 x))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 2 x)) 1/3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ 2 x)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ 2 x)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ 2 x)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 2 x))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ 2 x))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) 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 (- (/ 0 (/ 1 cos)) (+ (* (* cos (pow (cos (/ 2 x)) 1/3)) (/ 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 (* (pow (cos (/ 2 (/ 1 x))) 1/3) (* (/ 1 cos) (/ 1 x))) into (* (/ 1 (* x cos)) (pow (cos (* 2 x)) 1/3)) * [misc]approximate: Taking taylor expansion of (/ (cbrt (cos (* 2 (/ 1 (- x))))) (* (/ 1 (- x)) (/ 1 (- cos)))) in (x cos) around 0 * [misc]taylor: Taking taylor expansion of (/ (cbrt (cos (* 2 (/ 1 (- x))))) (* (/ 1 (- x)) (/ 1 (- cos)))) in cos * [misc]taylor: Taking taylor expansion of (cbrt (cos (* 2 (/ 1 (- x))))) in cos * [misc]taylor: Rewrote expression to (pow (cos (* 2 (/ 1 (- x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (* 2 (/ 1 (- x))))))) in cos * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (* 2 (/ 1 (- x)))))) in cos * [misc]taylor: Taking taylor expansion of 1/3 in cos * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (* 2 (/ 1 (- x))))) 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]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 (log (cos (/ -2 x))) into (log (cos (/ -2 x))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ -2 x)))) into (* 1/3 (log (cos (/ -2 x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ -2 x))))) into (pow (cos (/ -2 x)) 1/3) * [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 (/ (pow (cos (/ -2 x)) 1/3) (/ 1 x)) into (* (pow (cos (/ -2 x)) 1/3) x) * [misc]taylor: Taking taylor expansion of (/ (cbrt (cos (* 2 (/ 1 (- x))))) (* (/ 1 (- x)) (/ 1 (- cos)))) in x * [misc]taylor: Taking taylor expansion of (cbrt (cos (* 2 (/ 1 (- x))))) in x * [misc]taylor: Rewrote expression to (pow (cos (* 2 (/ 1 (- x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (* 2 (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (* 2 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (* 2 (/ 1 (- x))))) 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]backup-simplify: Simplify (log (cos (/ -2 x))) into (log (cos (/ -2 x))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ -2 x)))) into (* 1/3 (log (cos (/ -2 x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ -2 x))))) into (pow (cos (/ -2 x)) 1/3) * [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 (/ (pow (cos (/ -2 x)) 1/3) (/ 1 cos)) into (* (pow (cos (/ -2 x)) 1/3) cos) * [misc]taylor: Taking taylor expansion of (/ (cbrt (cos (* 2 (/ 1 (- x))))) (* (/ 1 (- x)) (/ 1 (- cos)))) in x * [misc]taylor: Taking taylor expansion of (cbrt (cos (* 2 (/ 1 (- x))))) in x * [misc]taylor: Rewrote expression to (pow (cos (* 2 (/ 1 (- x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (* 2 (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (* 2 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (* 2 (/ 1 (- x))))) 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]backup-simplify: Simplify (log (cos (/ -2 x))) into (log (cos (/ -2 x))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ -2 x)))) into (* 1/3 (log (cos (/ -2 x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ -2 x))))) into (pow (cos (/ -2 x)) 1/3) * [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 (/ (pow (cos (/ -2 x)) 1/3) (/ 1 cos)) into (* (pow (cos (/ -2 x)) 1/3) cos) * [misc]taylor: Taking taylor expansion of (* (pow (cos (/ -2 x)) 1/3) cos) in cos * [misc]taylor: Taking taylor expansion of (pow (cos (/ -2 x)) 1/3) in cos * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -2 x))))) in cos * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (/ -2 x)))) in cos * [misc]taylor: Taking taylor expansion of 1/3 in cos * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (/ -2 x))) 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]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 (log (cos (/ -2 x))) into (log (cos (/ -2 x))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ -2 x)))) into (* 1/3 (log (cos (/ -2 x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ -2 x))))) into (pow (cos (/ -2 x)) 1/3) * [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 (+ (* (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 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -2 x)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ -2 x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ -2 x))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (cos (/ -2 x)) 1/3) 1) (* 0 0)) into (pow (cos (/ -2 x)) 1/3) * [misc]backup-simplify: Simplify (pow (cos (/ -2 x)) 1/3) into (pow (cos (/ -2 x)) 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -2 x)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ -2 x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ -2 x))))) (+ (* (/ (pow 0 1) 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) 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 (- (/ 0 (/ 1 cos)) (+ (* (* (pow (cos (/ -2 x)) 1/3) 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 (+ (* -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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ -2 x)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ -2 x)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ -2 x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ -2 x))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (cos (/ -2 x)) 1/3) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ -2 x)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ -2 x)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ -2 x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ -2 x))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 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) into 0 * [misc]backup-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 (- (/ 0 (/ 1 cos)) (+ (* (* (pow (cos (/ -2 x)) 1/3) 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 (* -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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ -2 x)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ -2 x)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ -2 x)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -2 x))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ -2 x))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (cos (/ -2 x)) 1/3) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ -2 x)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ -2 x)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ -2 x)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -2 x))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ -2 x))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (- (/ 0 (/ 1 cos)) (+ (* (* (pow (cos (/ -2 x)) 1/3) 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 (* (pow (cos (/ -2 (/ 1 (- x)))) 1/3) (* (/ 1 (- cos)) (/ 1 (- x)))) into (* (/ 1 (* x cos)) (pow (cos (* 2 x)) 1/3)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ 1 (* sin (* x cos))) in (sin x cos) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (* sin (* x cos))) in cos * [misc]taylor: Taking taylor expansion of (* sin (* x cos)) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [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 (* sin 0) into 0 * [misc]backup-simplify: Simplify (+ (* x 1) (* 0 0)) into x * [misc]backup-simplify: Simplify (+ (* sin x) (* 0 0)) into (* x sin) * [misc]backup-simplify: Simplify (/ 1 (* x sin)) into (/ 1 (* x sin)) * [misc]taylor: Taking taylor expansion of (/ 1 (* sin (* x cos))) in x * [misc]taylor: Taking taylor expansion of (* sin (* x cos)) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [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 (* sin 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 cos)) into cos * [misc]backup-simplify: Simplify (+ (* sin cos) (* 0 0)) into (* sin cos) * [misc]backup-simplify: Simplify (/ 1 (* sin cos)) into (/ 1 (* sin cos)) * [misc]taylor: Taking taylor expansion of (/ 1 (* sin (* x cos))) in sin * [misc]taylor: Taking taylor expansion of (* sin (* x cos)) 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 (* 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 (* 0 (* x cos)) into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (* 0 cos)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* x cos))) into (* x cos) * [misc]backup-simplify: Simplify (/ 1 (* x cos)) into (/ 1 (* x cos)) * [misc]taylor: Taking taylor expansion of (/ 1 (* sin (* x cos))) in sin * [misc]taylor: Taking taylor expansion of (* sin (* x cos)) 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 (* 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 (* 0 (* x cos)) into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (* 0 cos)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* x cos))) into (* x cos) * [misc]backup-simplify: Simplify (/ 1 (* x cos)) into (/ 1 (* x 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 (+ (* x 0) (+ (* 0 0) (* 0 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* x cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* x cos)) (/ 0 (* x cos))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 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]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 (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* x cos))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* x cos)) (/ 0 (* x cos))) (* 0 (/ 0 (* x cos))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 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 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 (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* x cos)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* x cos)) (/ 0 (* x cos))) (* 0 (/ 0 (* x cos))) (* 0 (/ 0 (* x cos))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 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 cos * [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 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* (/ 1 cos) (* (/ 1 x) (/ 1 sin)))) into (/ 1 (* x (* cos sin))) * [misc]approximate: Taking taylor expansion of (/ 1 (* (/ 1 sin) (* (/ 1 x) (/ 1 cos)))) in (sin x cos) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 sin) (* (/ 1 x) (/ 1 cos)))) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 sin) (* (/ 1 x) (/ 1 cos))) in cos * [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)) 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 sin) (/ 1 x)) into (/ 1 (* x sin)) * [misc]backup-simplify: Simplify (/ 1 (/ 1 (* x sin))) into (* x sin) * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 sin) (* (/ 1 x) (/ 1 cos)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 sin) (* (/ 1 x) (/ 1 cos))) in 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]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 sin) (/ 1 cos)) into (/ 1 (* sin cos)) * [misc]backup-simplify: Simplify (/ 1 (/ 1 (* sin cos))) into (* sin cos) * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 sin) (* (/ 1 x) (/ 1 cos)))) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 sin) (* (/ 1 x) (/ 1 cos))) in 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]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 (/ 1 (* x cos)) * [misc]backup-simplify: Simplify (/ 1 (/ 1 (* x cos))) into (* x cos) * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 sin) (* (/ 1 x) (/ 1 cos)))) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 sin) (* (/ 1 x) (/ 1 cos))) in 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]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 (/ 1 (* x cos)) * [misc]backup-simplify: Simplify (/ 1 (/ 1 (* x cos))) into (* x cos) * [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 0) (* 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 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 cos))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 (* x cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* x cos) (/ 0 (/ 1 (* x cos)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 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 0) (+ (* 1 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 cos) (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (* 0 (/ 1 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 (* x cos))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* x cos) (/ 0 (/ 1 (* x cos)))) (* 0 (/ 0 (/ 1 (* x cos)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 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]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 0) (+ (* 1 0) (+ (* 0 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 (* (/ 1 cos) (* (/ 1 x) (/ 1 sin)))) into (/ 1 (* x (* cos sin))) * [misc]approximate: Taking taylor expansion of (/ 1 (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos))))) in (sin x cos) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos))))) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos)))) in cos * [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))) 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 sin) (/ 1 x)) into (/ -1 (* x sin)) * [misc]backup-simplify: Simplify (/ 1 (/ -1 (* x sin))) into (* -1 (* x sin)) * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos))))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos)))) in 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]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 sin) (/ 1 cos)) into (/ -1 (* sin cos)) * [misc]backup-simplify: Simplify (/ 1 (/ -1 (* sin cos))) into (* -1 (* sin cos)) * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos))))) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos)))) in sin * [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))) 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 (/ -1 (* x cos)) * [misc]backup-simplify: Simplify (/ 1 (/ -1 (* x cos))) into (* -1 (* x cos)) * [misc]taylor: Taking taylor expansion of (/ 1 (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos))))) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 (- sin)) (* (/ 1 (- x)) (/ 1 (- cos)))) in sin * [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))) 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 (/ -1 (* x cos)) * [misc]backup-simplify: Simplify (/ 1 (/ -1 (* x cos))) into (* -1 (* x cos)) * [misc]taylor: Taking taylor expansion of (* -1 (* x cos)) in x * [misc]taylor: Taking taylor expansion of -1 in x * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* x 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 0) (* 1 cos)) into cos * [misc]backup-simplify: Simplify (* 0 cos) into 0 * [misc]backup-simplify: Simplify (+ (* -1 cos) (* 0 0)) into (- 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 (- 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 (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 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 (* x cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 (* x cos)) (/ 0 (/ -1 (* x cos)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 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 0) (+ (* 1 0) (* 0 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 cos) (* 0 0))) 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 (- (+ (* (/ -1 cos) (/ 0 (- cos))) (* 0 (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (* 0 (/ -1 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 (* x cos))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 (* x cos)) (/ 0 (/ -1 (* x cos)))) (* 0 (/ 0 (/ -1 (* x cos)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 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]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 0) (+ (* 1 0) (+ (* 0 0) (* 0 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 cos) (* 0 0)))) 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)) (/ 1 (- sin))))) into (/ 1 (* x (* cos sin))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) sin) (/ (cbrt (cos (* 2 x))) (* x cos))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (327 enodes) * [exit]simplify: Simplified to (/ (cos (* 2 x)) (* (* sin cos) x)) * [misc]simplify: Simplified (2 2 1) to (λ (x cos sin) (* (/ 1 (* sin (* x cos))) (pow (/ (cos (* 2 x)) (* (* sin cos) x)) 1))) * * * * [misc]progress: [ 11 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) sin)) (- (log (cbrt (cos (* 2 x)))) (log (* x cos)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (419 enodes) * [exit]simplify: Simplified to (+ (log (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x))))) (- (log (cbrt (cos (* 2 x)))) (+ (log (* cos x)) (log sin)))) * [misc]simplify: Simplified (2 2 1) to (λ (x cos sin) (* (/ 1 (* sin (* x cos))) (exp (+ (log (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x))))) (- (log (cbrt (cos (* 2 x)))) (+ (log (* cos x)) (log sin))))))) * * * * [misc]progress: [ 13 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) sin)) (log (/ (cbrt (cos (* 2 x))) (* x cos)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (297 enodes) * [exit]simplify: Simplified to (+ (- (log (cbrt (cos (* 2 x)))) (+ (log (* x cos)) (log sin))) (+ (log (cbrt (cos (* 2 x)))) (log (cbrt (cos (* 2 x)))))) * [misc]simplify: Simplified (2 2 1) to (λ (x cos sin) (* (/ 1 (* sin (* x cos))) (exp (+ (- (log (cbrt (cos (* 2 x)))) (+ (log (* x cos)) (log sin))) (+ (log (cbrt (cos (* 2 x)))) (log (cbrt (cos (* 2 x))))))))) * * * * [misc]progress: [ 14 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) sin) (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) sin)) (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) sin)) (/ (cos (* 2 x)) (* (* (* x cos) (* x cos)) (* x cos)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (141 enodes) * [exit]simplify: Simplified to (/ (* (* (/ (cbrt (cos (* 2 x))) sin) (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x))))) (* (/ (cbrt (cos (* 2 x))) sin) (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))))) (* (/ (pow (* cos x) 3) (cos (* 2 x))) sin)) * [misc]simplify: Simplified (2 2 1) to (λ (x cos sin) (* (/ 1 (* sin (* x cos))) (cbrt (/ (* (* (/ (cbrt (cos (* 2 x))) sin) (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x))))) (* (/ (cbrt (cos (* 2 x))) sin) (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))))) (* (/ (pow (* cos x) 3) (cos (* 2 x))) sin))))) * * * * [misc]progress: [ 17 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) sin) (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) sin)) (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) sin)) (* (* (/ (cbrt (cos (* 2 x))) (* x cos)) (/ (cbrt (cos (* 2 x))) (* x cos))) (/ (cbrt (cos (* 2 x))) (* x cos)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (165 enodes) * [exit]simplify: Simplified to (* (* (pow (/ (cbrt (cos (* 2 x))) (* cos x)) 3) (/ (cbrt (cos (* 2 x))) (/ sin (cbrt (cos (* 2 x)))))) (* (/ (cbrt (cos (* 2 x))) (/ sin (cbrt (cos (* 2 x))))) (/ (cbrt (cos (* 2 x))) (/ sin (cbrt (cos (* 2 x))))))) * [misc]simplify: Simplified (2 2 1) to (λ (x cos sin) (* (/ 1 (* sin (* x cos))) (cbrt (* (* (pow (/ (cbrt (cos (* 2 x))) (* cos x)) 3) (/ (cbrt (cos (* 2 x))) (/ sin (cbrt (cos (* 2 x)))))) (* (/ (cbrt (cos (* 2 x))) (/ sin (cbrt (cos (* 2 x))))) (/ (cbrt (cos (* 2 x))) (/ sin (cbrt (cos (* 2 x)))))))))) * * * * [misc]progress: [ 18 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) (cbrt (cos (* 2 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (cos (* 2 x)) * [misc]simplify: Simplified (2 2 1) to (λ (x cos sin) (* (/ 1 (* sin (* x cos))) (/ (cos (* 2 x)) (* sin (* x cos))))) * [enter]simplify: Simplifying (* sin (* x 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 x) sin) * [misc]simplify: Simplified (2 2 2) to (λ (x cos sin) (* (/ 1 (* sin (* x cos))) (/ (cos (* 2 x)) (* (* cos x) sin)))) * * * * [misc]progress: [ 22 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (cbrt (cos (* 2 x))) (* x cos))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (cbrt (/ (cbrt (cos (* 2 x))) (* cos x))) * [misc]simplify: Simplified (2 2 2) to (λ (x cos sin) (* (/ 1 (* sin (* x cos))) (* (* (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) sin) (* (cbrt (/ (cbrt (cos (* 2 x))) (* x cos))) (cbrt (/ (cbrt (cos (* 2 x))) (* x cos))))) (cbrt (/ (cbrt (cos (* 2 x))) (* cos x)))))) * * * * [misc]progress: [ 24 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (cbrt (cos (* 2 x))) (* x cos))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (sqrt (/ (cbrt (cos (* 2 x))) (* cos x))) * [misc]simplify: Simplified (2 2 2) to (λ (x cos sin) (* (/ 1 (* sin (* x cos))) (* (* (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) sin) (sqrt (/ (cbrt (cos (* 2 x))) (* x cos)))) (sqrt (/ (cbrt (cos (* 2 x))) (* cos x)))))) * * * * [misc]progress: [ 25 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (cbrt (cos (* 2 x)))) cos) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (cbrt (cbrt (cos (* 2 x)))) cos) * [misc]simplify: Simplified (2 2 2) to (λ (x cos sin) (* (/ 1 (* sin (* x cos))) (* (* (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) sin) (/ (cbrt (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x))))) x)) (/ (cbrt (cbrt (cos (* 2 x)))) cos)))) * * * * [misc]progress: [ 26 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (cos (* 2 x)))) cos) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (cos (* 2 x)))) cos) * [misc]simplify: Simplified (2 2 2) to (λ (x cos sin) (* (/ 1 (* sin (* x cos))) (* (* (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) sin) (/ (cbrt (sqrt (cos (* 2 x)))) x)) (/ (cbrt (sqrt (cos (* 2 x)))) cos)))) * * * * [misc]progress: [ 27 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (cos (* 2 x))) cos) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos (* 2 x))) cos) * [misc]simplify: Simplified (2 2 2) to (λ (x cos sin) (* (/ 1 (* sin (* x cos))) (* (* (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) sin) (/ (cbrt 1) x)) (/ (cbrt (cos (* 2 x))) cos)))) * * * * [misc]progress: [ 28 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (cbrt (cos (* 2 x)))) cos) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (cbrt (cbrt (cos (* 2 x)))) cos) * [misc]simplify: Simplified (2 2 2) to (λ (x cos sin) (* (/ 1 (* sin (* x cos))) (* (* (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) sin) (/ (* (cbrt (cbrt (cos (* 2 x)))) (cbrt (cbrt (cos (* 2 x))))) x)) (/ (cbrt (cbrt (cos (* 2 x)))) cos)))) * * * * [misc]progress: [ 29 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cbrt (cos (* 2 x)))) cos) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (cos (* 2 x)))) cos) * [misc]simplify: Simplified (2 2 2) to (λ (x cos sin) (* (/ 1 (* sin (* x cos))) (* (* (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) sin) (/ (sqrt (cbrt (cos (* 2 x)))) x)) (/ (sqrt (cbrt (cos (* 2 x)))) cos)))) * * * * [misc]progress: [ 30 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (cos (* 2 x))) cos) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos (* 2 x))) cos) * [misc]simplify: Simplified (2 2 2) to (λ (x cos sin) (* (/ 1 (* sin (* x cos))) (* (* (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) sin) (/ 1 x)) (/ (cbrt (cos (* 2 x))) cos)))) * * * * [misc]progress: [ 31 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (cos (* 2 x))) (* x cos)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos (* 2 x))) (* cos x)) * [misc]simplify: Simplified (2 2 2) to (λ (x cos sin) (* (/ 1 (* sin (* x cos))) (* (* (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) sin) 1) (/ (cbrt (cos (* 2 x))) (* cos x))))) * * * * [misc]progress: [ 32 / 90 ] 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 2 2) to (λ (x cos sin) (* (/ 1 (* sin (* x cos))) (* (* (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) sin) (cbrt (cos (* 2 x)))) (/ 1 (* cos x))))) * * * * [misc]progress: [ 33 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) sin)) (cbrt (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) sin))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (* (cbrt (* (cbrt (cos (* 2 x))) (/ (cbrt (cos (* 2 x))) sin))) (cbrt (* (cbrt (cos (* 2 x))) (/ (cbrt (cos (* 2 x))) sin)))) * [misc]simplify: Simplified (2 2 1) to (λ (x cos sin) (* (/ 1 (* sin (* x cos))) (* (* (cbrt (* (cbrt (cos (* 2 x))) (/ (cbrt (cos (* 2 x))) sin))) (cbrt (* (cbrt (cos (* 2 x))) (/ (cbrt (cos (* 2 x))) sin)))) (* (cbrt (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) sin)) (/ (cbrt (cos (* 2 x))) (* x cos)))))) * * * * [misc]progress: [ 34 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) sin)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (cos (* 2 x))) (/ (cbrt (cos (* 2 x))) sin))) * [misc]simplify: Simplified (2 2 1) to (λ (x cos sin) (* (/ 1 (* sin (* x cos))) (* (sqrt (* (cbrt (cos (* 2 x))) (/ (cbrt (cos (* 2 x))) sin))) (* (sqrt (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) sin)) (/ (cbrt (cos (* 2 x))) (* x cos)))))) * * * * [misc]progress: [ 35 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 90 ] 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 2 1) to (λ (x cos sin) (* (/ 1 (* sin (* x cos))) (* (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) (* (/ 1 sin) (/ (cbrt (cos (* 2 x))) (* x cos)))))) * * * * [misc]progress: [ 37 / 90 ] 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 2) to (λ (x cos sin) (* (/ 1 (* sin (* x cos))) (/ (* (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) sin) (cbrt (cos (* 2 x)))) (* x cos)))) * * * * [misc]progress: [ 38 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) (/ (cbrt (cos (* 2 x))) (* x cos))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (115 enodes) * [exit]simplify: Simplified to (/ (cos (* 2 x)) (* cos x)) * [misc]simplify: Simplified (2 2 1) to (λ (x cos sin) (* (/ 1 (* sin (* x cos))) (/ (/ (cos (* 2 x)) (* cos x)) sin))) * * * * [misc]progress: [ 39 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (cbrt (cos (* 2 x)))) (log (* x cos))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (- (log (cbrt (cos (* 2 x)))) (log (* cos x))) * [misc]simplify: Simplified (2 2 2 1) to (λ (x cos sin) (* (/ 1 (* sin (* x cos))) (* (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) sin) (exp (- (log (cbrt (cos (* 2 x)))) (log (* cos x))))))) * * * * [misc]progress: [ 42 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos (* 2 x)) (* (* (* x cos) (* x cos)) (* x cos))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (/ (cos (* 2 x)) (pow (* x cos) 3)) * [misc]simplify: Simplified (2 2 2 1) to (λ (x cos sin) (* (/ 1 (* sin (* x cos))) (* (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) sin) (cbrt (/ (cos (* 2 x)) (pow (* x cos) 3)))))) * * * * [misc]progress: [ 45 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x))))) x) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x))))) x) * [misc]simplify: Simplified (2 2 2 1) to (λ (x cos sin) (* (/ 1 (* sin (* x cos))) (* (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) sin) (* (/ (cbrt (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x))))) x) (/ (cbrt (cbrt (cos (* 2 x)))) cos))))) * [enter]simplify: Simplifying (/ (cbrt (cbrt (cos (* 2 x)))) cos) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (cbrt (cbrt (cos (* 2 x)))) cos) * [misc]simplify: Simplified (2 2 2 2) to (λ (x cos sin) (* (/ 1 (* sin (* x cos))) (* (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) sin) (* (/ (cbrt (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x))))) x) (/ (cbrt (cbrt (cos (* 2 x)))) cos))))) * * * * [misc]progress: [ 50 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (cos (* 2 x)))) x) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (cos (* 2 x)))) x) * [misc]simplify: Simplified (2 2 2 1) to (λ (x cos sin) (* (/ 1 (* sin (* x cos))) (* (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) sin) (* (/ (cbrt (sqrt (cos (* 2 x)))) x) (/ (cbrt (sqrt (cos (* 2 x)))) cos))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (cos (* 2 x)))) cos) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (cos (* 2 x)))) cos) * [misc]simplify: Simplified (2 2 2 2) to (λ (x cos sin) (* (/ 1 (* sin (* x cos))) (* (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) sin) (* (/ (cbrt (sqrt (cos (* 2 x)))) x) (/ (cbrt (sqrt (cos (* 2 x)))) cos))))) * * * * [misc]progress: [ 51 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt 1) x) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ (cbrt 1) x) * [misc]simplify: Simplified (2 2 2 1) to (λ (x cos sin) (* (/ 1 (* sin (* x cos))) (* (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) sin) (* (/ (cbrt 1) x) (/ (cbrt (cos (* 2 x))) cos))))) * [enter]simplify: Simplifying (/ (cbrt (cos (* 2 x))) cos) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos (* 2 x))) cos) * [misc]simplify: Simplified (2 2 2 2) to (λ (x cos sin) (* (/ 1 (* sin (* x cos))) (* (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) sin) (* (/ (cbrt 1) x) (/ (cbrt (cos (* 2 x))) cos))))) * * * * [misc]progress: [ 52 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cbrt (cos (* 2 x)))) (cbrt (cbrt (cos (* 2 x))))) x) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (cos (* 2 x)))) (/ (cbrt (cbrt (cos (* 2 x)))) x)) * [misc]simplify: Simplified (2 2 2 1) to (λ (x cos sin) (* (/ 1 (* sin (* x cos))) (* (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) sin) (* (* (cbrt (cbrt (cos (* 2 x)))) (/ (cbrt (cbrt (cos (* 2 x)))) x)) (/ (cbrt (cbrt (cos (* 2 x)))) cos))))) * [enter]simplify: Simplifying (/ (cbrt (cbrt (cos (* 2 x)))) cos) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (cbrt (cbrt (cos (* 2 x)))) cos) * [misc]simplify: Simplified (2 2 2 2) to (λ (x cos sin) (* (/ 1 (* sin (* x cos))) (* (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) sin) (* (/ (* (cbrt (cbrt (cos (* 2 x)))) (cbrt (cbrt (cos (* 2 x))))) x) (/ (cbrt (cbrt (cos (* 2 x)))) cos))))) * * * * [misc]progress: [ 53 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cbrt (cos (* 2 x)))) x) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (cos (* 2 x)))) x) * [misc]simplify: Simplified (2 2 2 1) to (λ (x cos sin) (* (/ 1 (* sin (* x cos))) (* (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) sin) (* (/ (sqrt (cbrt (cos (* 2 x)))) x) (/ (sqrt (cbrt (cos (* 2 x)))) cos))))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (cos (* 2 x)))) cos) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (cos (* 2 x)))) cos) * [misc]simplify: Simplified (2 2 2 2) to (λ (x cos sin) (* (/ 1 (* sin (* x cos))) (* (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) sin) (* (/ (sqrt (cbrt (cos (* 2 x)))) x) (/ (sqrt (cbrt (cos (* 2 x)))) cos))))) * * * * [misc]progress: [ 54 / 90 ] 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 2 2 1) to (λ (x cos sin) (* (/ 1 (* sin (* x cos))) (* (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) sin) (* (/ 1 x) (/ (cbrt (cos (* 2 x))) cos))))) * [enter]simplify: Simplifying (/ (cbrt (cos (* 2 x))) cos) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos (* 2 x))) cos) * [misc]simplify: Simplified (2 2 2 2) to (λ (x cos sin) (* (/ 1 (* sin (* x cos))) (* (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) sin) (* (/ 1 x) (/ (cbrt (cos (* 2 x))) cos))))) * * * * [misc]progress: [ 55 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x))))) * [misc]simplify: Simplified (2 2 2 1) to (λ (x cos sin) (* (/ 1 (* sin (* x cos))) (* (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) sin) (/ (cbrt (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x))))) (/ (* x cos) (cbrt (cbrt (cos (* 2 x))))))))) * * * * [misc]progress: [ 60 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (cos (* 2 x)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (cos (* 2 x)))) * [misc]simplify: Simplified (2 2 2 1) to (λ (x cos sin) (* (/ 1 (* sin (* x cos))) (* (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) sin) (/ (cbrt (sqrt (cos (* 2 x)))) (/ (* x cos) (cbrt (sqrt (cos (* 2 x))))))))) * * * * [misc]progress: [ 61 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 2 2 1) to (λ (x cos sin) (* (/ 1 (* sin (* x cos))) (* (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) sin) (/ (cbrt 1) (/ (* x cos) (cbrt (cos (* 2 x)))))))) * * * * [misc]progress: [ 62 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (cos (* 2 x)))) (cbrt (cbrt (cos (* 2 x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (cos (* 2 x)))) (cbrt (cbrt (cos (* 2 x))))) * [misc]simplify: Simplified (2 2 2 1) to (λ (x cos sin) (* (/ 1 (* sin (* x cos))) (* (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) sin) (/ (* (cbrt (cbrt (cos (* 2 x)))) (cbrt (cbrt (cos (* 2 x))))) (/ (* x cos) (cbrt (cbrt (cos (* 2 x))))))))) * * * * [misc]progress: [ 63 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (cos (* 2 x)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (cos (* 2 x)))) * [misc]simplify: Simplified (2 2 2 1) to (λ (x cos sin) (* (/ 1 (* sin (* x cos))) (* (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) sin) (/ (sqrt (cbrt (cos (* 2 x)))) (/ (* x cos) (sqrt (cbrt (cos (* 2 x))))))))) * * * * [misc]progress: [ 64 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (- 1) * [misc]simplify: Simplified (2 1 2) to (λ (x cos sin) (* (pow (* sin (* x cos)) (- 1)) (* (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) sin) (/ (cbrt (cos (* 2 x))) (* x cos))))) * * * * [misc]progress: [ 67 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 75 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 76 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 77 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 78 / 90 ] 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 1 2) to (λ (x cos sin) (* (/ (/ 1 sin) (* x cos)) (* (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) sin) (/ (cbrt (cos (* 2 x))) (* x cos))))) * * * * [misc]progress: [ 79 / 90 ] 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) (* (/ 1 0) (* (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) sin) (/ (cbrt (cos (* 2 x))) (* x cos))))) * * * * [misc]progress: [ 80 / 90 ] 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 (* (* sin cos) x) * [misc]simplify: Simplified (2 1 2) to (λ (x cos sin) (* (/ 1 (* (* sin cos) x)) (* (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) sin) (/ (cbrt (cos (* 2 x))) (* x cos))))) * * * * [misc]progress: [ 81 / 90 ] 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 (* (* sin cos) x) * [misc]simplify: Simplified (2 1 2) to (λ (x cos sin) (* (/ 1 (* (* sin cos) x)) (* (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) sin) (/ (cbrt (cos (* 2 x))) (* x cos))))) * * * * [misc]progress: [ 82 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 (* x (* cos sin))) (* 2 (/ x (* cos sin)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (174 enodes) * * [misc]simplify: iters left: 1 (210 enodes) * [exit]simplify: Simplified to (- (/ (/ 1 x) (* cos sin)) (/ (/ x cos) (/ sin 2))) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (* (/ 1 (* sin (* x cos))) (- (/ (/ 1 x) (* cos sin)) (/ (/ x cos) (/ sin 2))))) * * * * [misc]progress: [ 83 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos (* 2 x)) (* sin (* x cos))) * * [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)) (* (* sin cos) x)) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (* (/ 1 (* sin (* x cos))) (/ (cos (* 2 x)) (* (* sin cos) x)))) * * * * [misc]progress: [ 84 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos (* 2 x)) (* sin (* x cos))) * * [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)) (* (* sin cos) x)) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (* (/ 1 (* sin (* x cos))) (/ (cos (* 2 x)) (* (* sin cos) x)))) * * * * [misc]progress: [ 85 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 (* x cos)) (+ (* 2/9 (/ (pow x 3) cos)) (* 2/3 (/ x cos)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (377 enodes) * [exit]simplify: Simplified to (+ (- (/ 1 (* cos x)) (/ x (/ cos 2/3))) (* (* (- x) 2/9) (/ x (/ cos x)))) * [misc]simplify: Simplified (2 2 2) to (λ (x cos sin) (* (/ 1 (* sin (* x cos))) (* (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) sin) (+ (- (/ 1 (* cos x)) (/ x (/ cos 2/3))) (* (* (- x) 2/9) (/ x (/ cos x))))))) * * * * [misc]progress: [ 86 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (* x cos)) (pow (cos (* 2 x)) 1/3)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (145 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos (* 2 x))) (* cos x)) * [misc]simplify: Simplified (2 2 2) to (λ (x cos sin) (* (/ 1 (* sin (* x cos))) (* (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) sin) (/ (cbrt (cos (* 2 x))) (* cos x))))) * * * * [misc]progress: [ 87 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (* x cos)) (pow (cos (* 2 x)) 1/3)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (145 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos (* 2 x))) (* cos x)) * [misc]simplify: Simplified (2 2 2) to (λ (x cos sin) (* (/ 1 (* sin (* x cos))) (* (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) sin) (/ (cbrt (cos (* 2 x))) (* cos x))))) * * * * [misc]progress: [ 88 / 90 ] 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 (21 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (/ (/ 1 x) (* cos sin)) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (* (/ (/ 1 x) (* cos sin)) (* (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) sin) (/ (cbrt (cos (* 2 x))) (* x cos))))) * * * * [misc]progress: [ 89 / 90 ] 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 (21 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (/ (/ 1 x) (* cos sin)) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (* (/ (/ 1 x) (* cos sin)) (* (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) sin) (/ (cbrt (cos (* 2 x))) (* x cos))))) * * * * [misc]progress: [ 90 / 90 ] 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 (21 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (/ (/ 1 x) (* cos sin)) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (* (/ (/ 1 x) (* cos sin)) (* (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) sin) (/ (cbrt (cos (* 2 x))) (* x cos))))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# # # # # # # # # # # # # #) * [misc]regimes: Found splitpoints: (#s(sp 0 (* (cos (* 2 x)) (/ 1 (* (* sin (* x cos)) (* sin (* x cos))))) +nan.0)) , with alts (#) * [enter]simplify: Simplifying (* (cos (* 2 x)) (/ 1 (* (* sin (* x cos)) (* sin (* x cos))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (* (/ 1 (* (* (* cos x) sin) (* (* cos x) sin))) (cos (* 2 x))) * * * * [misc]points: Sampling 8000 additional inputs, on iter 0 have 0 / 8000 * * * * [misc]points: Computing exacts on every 500 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 250 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 125 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 62 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 31 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 15 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 7 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 3 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 8000 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 2470 additional inputs, on iter 1 have 5530 / 8000 * * * * [misc]points: Computing exacts on every 154 of 2470 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 77 of 2470 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 38 of 2470 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 19 of 2470 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 9 of 2470 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 4 of 2470 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 2 of 2470 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 2470 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 808 additional inputs, on iter 2 have 7192 / 8000 * * * * [misc]points: Computing exacts on every 50 of 808 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 25 of 808 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 12 of 808 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 6 of 808 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 3 of 808 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 808 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 237 additional inputs, on iter 3 have 7763 / 8000 * * * * [misc]points: Computing exacts on every 14 of 237 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 7 of 237 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 3 of 237 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 237 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 90 additional inputs, on iter 4 have 7910 / 8000 * * * * [misc]points: Computing exacts on every 5 of 90 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 2 of 90 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 90 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 26 additional inputs, on iter 5 have 7974 / 8000 * * * * [misc]points: Computing exacts for 26 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 10 additional inputs, on iter 6 have 7990 / 8000 * * * * [misc]points: Computing exacts for 10 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 7 have 7996 / 8000 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 8 have 7999 / 8000 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 8003 points with exact outputs